[cig-commits] r22174 - in seismo/3D/SPECFEM3D/trunk/doc/USER_MANUAL: . figures
surendra at geodynamics.org
surendra at geodynamics.org
Tue Jun 4 20:58:17 PDT 2013
Author: surendra
Date: 2013-06-04 20:58:17 -0700 (Tue, 04 Jun 2013)
New Revision: 22174
Added:
seismo/3D/SPECFEM3D/trunk/doc/USER_MANUAL/figures/faultmesh.eps
seismo/3D/SPECFEM3D/trunk/doc/USER_MANUAL/figures/splitnodes.eps
seismo/3D/SPECFEM3D/trunk/doc/USER_MANUAL/figures/splitnodes_surfacetrace.eps
seismo/3D/SPECFEM3D/trunk/doc/USER_MANUAL/figures/surf168.eps
Modified:
seismo/3D/SPECFEM3D/trunk/doc/USER_MANUAL/manual_SPECFEM3D_Cartesian.pdf
seismo/3D/SPECFEM3D/trunk/doc/USER_MANUAL/manual_SPECFEM3D_Cartesian.tex
Log:
Improved the Chapter on fault kinematic/dynamics in the manual
Added: seismo/3D/SPECFEM3D/trunk/doc/USER_MANUAL/figures/faultmesh.eps
===================================================================
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+%%PageTrailer
+%%Trailer
+%%EOF
Modified: seismo/3D/SPECFEM3D/trunk/doc/USER_MANUAL/manual_SPECFEM3D_Cartesian.pdf
===================================================================
(Binary files differ)
Modified: seismo/3D/SPECFEM3D/trunk/doc/USER_MANUAL/manual_SPECFEM3D_Cartesian.tex
===================================================================
--- seismo/3D/SPECFEM3D/trunk/doc/USER_MANUAL/manual_SPECFEM3D_Cartesian.tex 2013-06-05 02:53:45 UTC (rev 22173)
+++ seismo/3D/SPECFEM3D/trunk/doc/USER_MANUAL/manual_SPECFEM3D_Cartesian.tex 2013-06-05 03:58:17 UTC (rev 22174)
@@ -1,38 +1,36 @@
-%% LyX 1.5.1 created this file. For more info, see http://www.lyx.org/.
+%% LyX 2.0.2 created this file. For more info, see http://www.lyx.org/.
%% Do not edit unless you really know what you are doing.
-\documentclass[oneside,english,onecolumn]{book}
+\documentclass[oneside,english]{book}
\usepackage[T1]{fontenc}
\usepackage[latin1]{inputenc}
-\usepackage{geometry}
-\geometry{letterpaper,tmargin=1in,bmargin=1in,lmargin=1in,rmargin=1in}
+\usepackage[letterpaper]{geometry}
+\geometry{verbose,tmargin=1in,bmargin=1in,lmargin=1in,rmargin=1in}
\setcounter{secnumdepth}{3}
\setcounter{tocdepth}{3}
+\usepackage{babel}
\usepackage{float}
\usepackage{textcomp}
+\usepackage{url}
\usepackage{amsmath}
-
-% figures
-\usepackage[pdftex]{graphicx}
-
-% we are running pdflatex, so convert .eps files to .pdf
-\usepackage{epstopdf}
-
\usepackage{amssymb}
-\IfFileExists{url.sty}{\usepackage{url}}
- {\newcommand{\url}{\texttt}}
+\usepackage{graphicx}
\usepackage[authoryear]{natbib}
+\usepackage[unicode=true,pdfusetitle,
+ bookmarks=true,bookmarksnumbered=true,bookmarksopen=false,
+ breaklinks=false,pdfborder={0 0 0},backref=section,colorlinks=false,pdfpagemode=None]
+ {hyperref}
+\hypersetup{
+ pdftex,pdfstartview=FitH,pdfpagelayout=SinglePage}
+\usepackage{breakurl}
\makeatletter
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% LyX specific LaTeX commands.
\newcommand{\noun}[1]{\textsc{#1}}
-%% A simple dot to overcome graphicx limitations
-\newcommand{\lyxdot}{.}
-
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Textclass specific LaTeX commands.
\newenvironment{lyxcode}
-{\begin{list}{}{
+{\par\begin{list}{}{
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@@ -41,13 +39,12 @@
\normalfont\ttfamily}%
\item[]}
{\end{list}}
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{\begin{list}{}
{\settowidth{\labelwidth}{#1}
-\setlength{\leftmargin}{\labelwidth}
-\addtolength{\leftmargin}{\labelsep}
-\renewcommand{\makelabel}[1]{#1\hfil}}}
+ \setlength{\leftmargin}{\labelwidth}
+ \addtolength{\leftmargin}{\labelsep}
+ \renewcommand{\makelabel}[1]{##1\hfil}}}
{\end{list}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% User specified LaTeX commands.
@@ -56,15 +53,15 @@
% figures
\usepackage[dvips]{epsfig}
-\usepackage{wrapfig}
+
% fonts
\usepackage{times}
% hyperlinks to sections and references
-\usepackage[pdftex,bookmarks=true,bookmarksnumbered=true,pdfpagemode=None,pdfstartview=FitH,pdfpagelayout=SinglePage,pdfborder={0 0 0}]{hyperref}
+
\newcommand{\urlwithparentheses}[1]{(\url{#1})}
% biblio GJI
@@ -89,83 +86,66 @@
\newcommand{\eg}{e.g.,}
% colors for the text
-\usepackage[dvipsnames,usenames]{color}
+\@ifundefined{definecolor}
+ {\usepackage{color}}{}
\newcommand{\red}[1]{\textcolor{Red}{#1}}
\usepackage{babel}
+
\makeatother
\begin{document}
\begin{center}
-\thispagestyle{empty}%
-\vspace*{-1.8truecm}
-\noindent\makebox[\textwidth]{%
-\noindent\includegraphics[width=0.83\paperwidth]{figures/specfem_3d_Cartesian-cover.pdf}
-}
-\end{center}
-%
+\thispagestyle{empty}\vspace*{-1.8truecm} %
+\makebox[1\textwidth]{%
+\includegraphics[width=0.83\paperwidth]{figures/specfem_3d_Cartesian-cover} %
+}
+\par\end{center}
+
+
\title{\textbf{SPECFEM3D Cartesian}\\
-\textbf{User Manual}}
+ \textbf{User Manual}}
+
\author{$\copyright$ Princeton University (USA) and\\
-CNRS / INRIA / University of Pau (France)\\
-Version 2.1}
+ CNRS / INRIA / University of Pau (France)\\
+ Version 2.1}
-\date{\noindent \today}
+\date{\today}
+
\maketitle
\section*{Authors}
-The SPECFEM3D Cartesian package was first developed by Dimitri Komatitsch and Jean-Pierre Vilotte at Institut de Physique du Globe (IPGP) in Paris, France
-from 1995 to 1997 and then by Dimitri Komatitsch and Jeroen Tromp at Harvard University and Caltech, USA, starting in 1998.
-The story started on March 28, 1995, when Prof. Yvon Maday from CNRS and University of Paris, France, gave a lecture to
-Dimitri Komatitsch and Jean-Pierre Vilotte at IPG about the nice properties of the spectral-element method that he had used for
-other equations. We are deeply indebted and thankful to him for that.
-Since then it has been developed and maintained by a development team: in alphabetical order,
-Jean-Paul (Pablo) Ampuero,
-Piero Basini,
-C\'eline Blitz,
-Ebru Bozda\u{g},
-Emanuele Casarotti,
-Joseph Charles,
-Min Chen,
-Percy Galvez,
-Dominik G\"oddeke,
-Vala Hj\"orleifsd\'ottir,
-Sue Kientz,
-Dimitri Komatitsch,
-Jes\'us Labarta,
-Nicolas Le Goff,
-Pieyre Le Loher,
-Qinya Liu,
-Yang Luo,
-Alessia Maggi,
-Federica Magnoni,
-Roland Martin,
-Ren\'e Matzen,
-Dennis McRitchie,
-Matthias Meschede,
-Peter Messmer,
-David Mich\'ea,
-Surendra Nadh Somala,
-Tarje Nissen-Meyer,
-Daniel Peter,
-Max Rietmann,
-Elliott Sales de Andrade,
-Brian Savage,
-Bernhard Schuberth,
-Anne Sieminski,
-Leif Strand,
-Carl Tape,
-Jeroen Tromp,
-Jean-Pierre Vilotte,
-Zhinan Xie,
-Hejun Zhu.\\
+\noindent The SPECFEM3D Cartesian package was first developed by Dimitri
+Komatitsch and Jean-Pierre Vilotte at Institut de Physique du Globe
+(IPGP) in Paris, France from 1995 to 1997 and then by Dimitri Komatitsch
+and Jeroen Tromp at Harvard University and Caltech, USA, starting
+in 1998. The story started on March 28, 1995, when Prof. Yvon Maday
+from CNRS and University of Paris, France, gave a lecture to Dimitri
+Komatitsch and Jean-Pierre Vilotte at IPG about the nice properties
+of the spectral-element method that he had used for other equations.
+We are deeply indebted and thankful to him for that.
-The cover graphic of the manual was created
-by Santiago Lombeyda from Caltech's Center for Advanced Computing Research (CACR) \urlwithparentheses{http://www.cacr.caltech.edu}. \\
+Since then it has been developed and maintained by a development team:
+in alphabetical order, Jean-Paul (Pablo) Ampuero, Piero Basini, Céline
+Blitz, Ebru Bozda\u{g}, Emanuele Casarotti, Joseph Charles, Min Chen,
+Percy Galvez, Dominik Göddeke, Vala Hjörleifsdóttir, Sue Kientz, Dimitri
+Komatitsch, Jesús Labarta, Nicolas Le Goff, Pieyre Le Loher, Qinya
+Liu, Yang Luo, Alessia Maggi, Federica Magnoni, Roland Martin, René
+Matzen, Dennis McRitchie, Matthias Meschede, Peter Messmer, David
+Michéa, Surendra Nadh Somala, Tarje Nissen-Meyer, Daniel Peter, Max
+Rietmann, Elliott Sales de Andrade, Brian Savage, Bernhard Schuberth,
+Anne Sieminski, Leif Strand, Carl Tape, Jeroen Tromp, Jean-Pierre
+Vilotte, Zhinan Xie, Hejun Zhu.\\
+
+The cover graphic of the manual was created by Santiago Lombeyda from
+Caltech's Center for Advanced Computing Research (CACR) \urlwithparentheses{http://www.cacr.caltech.edu}.
+\\
+
+
\newpage{}
\tableofcontents{}
@@ -173,131 +153,150 @@
\chapter{Introduction}
-The software package SPECFEM3D Cartesian simulates seismic
-wave propagation at the local or regional scale
-based upon the spectral-element method (SEM).
-The SEM is a continuous Galerkin technique \citep{TrKoLi08,PeKoLuMaLeCaLeMaLiBlNiBaTr11},
+The software package SPECFEM3D Cartesian simulates seismic wave propagation
+at the local or regional scale based upon the spectral-element method
+(SEM). The SEM is a continuous Galerkin technique \citep{TrKoLi08,PeKoLuMaLeCaLeMaLiBlNiBaTr11},
which can easily be made discontinous \citep{BeMaPa94,Ch00,KoWoHu02,ChCaVi03,LaWaBe05,Kop06,WiStBuGh10,AcKo11};
-it is then close to a particular case of the discontinuous Galerkin technique \citep{ReHi73,Arn82,FaRi99,HuHuRa99,CoKaSh00,GiHeWa02,RiWh03,MoRi05,GrScSc06,AiMoMu06,BeLaPi06,DuKa06,DeSeWh08,PuAmKa09,WiStBuGh10,DeSe10,EtChViGl10}, with optimized efficiency because of its tensorized basis functions \citep{WiStBuGh10,AcKo11}.
-In particular, it can accurately handle very distorted mesh elements \citep{OlSe11}.\\
+it is then close to a particular case of the discontinuous Galerkin
+technique \citep{ReHi73,Arn82,FaRi99,HuHuRa99,CoKaSh00,GiHeWa02,RiWh03,MoRi05,GrScSc06,AiMoMu06,BeLaPi06,DuKa06,DeSeWh08,PuAmKa09,WiStBuGh10,DeSe10,EtChViGl10},
+with optimized efficiency because of its tensorized basis functions
+\citep{WiStBuGh10,AcKo11}. In particular, it can accurately handle
+very distorted mesh elements \citep{OlSe11}.\\
+
It has very good accuracy and convergence properties \citep{MaPa89,SePr94,DeFiMu02,Coh02,DeSe07,SeOl08}.
-The spectral element approach admits spectral rates of convergence and allows exploiting $hp$-convergence schemes.
-It is also very well suited to parallel implementation on very large supercomputers \citep{KoTsChTr03,TsKoChTr03,KoLaMi08a,CaKoLaTiMiLeSnTr08,KoViCh10} as well as on clusters of GPU accelerating graphics cards \citep{KoMiEr09,KoErGoMi10,Kom11}. Tensor products inside each element can be optimized to reach very high efficiency \citep{DeFiMu02}, and mesh point and element numbering can be optimized to reduce processor cache misses and improve cache reuse \citep{KoLaMi08a}. The SEM can also handle triangular (in 2D) or tetrahedral (in 3D) elements \citep{WinBoyd96,TaWi00,KoMaTrTaWi01,Coh02,MeViSa06} as well as mixed meshes, although with increased cost and reduced accuracy in these elements, as in the discontinuous Galerkin method.\\
+The spectral element approach admits spectral rates of convergence
+and allows exploiting $hp$-convergence schemes. It is also very well
+suited to parallel implementation on very large supercomputers \citep{KoTsChTr03,TsKoChTr03,KoLaMi08a,CaKoLaTiMiLeSnTr08,KoViCh10}
+as well as on clusters of GPU accelerating graphics cards \citep{KoMiEr09,KoErGoMi10,Kom11}.
+Tensor products inside each element can be optimized to reach very
+high efficiency \citep{DeFiMu02}, and mesh point and element numbering
+can be optimized to reduce processor cache misses and improve cache
+reuse \citep{KoLaMi08a}. The SEM can also handle triangular (in 2D)
+or tetrahedral (in 3D) elements \citep{WinBoyd96,TaWi00,KoMaTrTaWi01,Coh02,MeViSa06}
+as well as mixed meshes, although with increased cost and reduced
+accuracy in these elements, as in the discontinuous Galerkin method.\\
-Note that in many geological models in the context of seismic wave propagation studies
-(except for instance for fault dynamic rupture studies, in which very high frequencies or supershear rupture need to be modeled near the fault, see e.g. \cite{BeGlCrViPi07,BeGlCrVi09,PuAmKa09,TaCrEtViBeSa10})
-a continuous formulation is sufficient because material property contrasts are not drastic and thus
-conforming mesh doubling bricks can efficiently handle mesh size variations \citep{KoTr02a,KoLiTrSuStSh04,LeChLiKoHuTr08,LeChKoHuTr09,LeKoHuTr09}.\\
-For a detailed introduction to the SEM as applied to regional
-seismic wave propagation, please consult \citet{PeKoLuMaLeCaLeMaLiBlNiBaTr11,TrKoLi08,KoVi98,KoTr99,ChKoViCaVaFe07} and
-in particular \citet{LeKoHuTr09,LeChKoHuTr09,LeChLiKoHuTr08,GoAmTaCaSmSaMaKo09,WiKoScTr04,KoLiTrSuStSh04}.
-A detailed theoretical analysis of the dispersion
-and stability properties of the SEM is available in \citet{Coh02}, \citet{DeSe07}, \citet{SeOl07} and \citet{SeOl08}.\\
+Note that in many geological models in the context of seismic wave
+propagation studies (except for instance for fault dynamic rupture
+studies, in which very high frequencies or supershear rupture need
+to be modeled near the fault, see e.g. \citet{BeGlCrViPi07,BeGlCrVi09,PuAmKa09,TaCrEtViBeSa10})
+a continuous formulation is sufficient because material property contrasts
+are not drastic and thus conforming mesh doubling bricks can efficiently
+handle mesh size variations \citep{KoTr02a,KoLiTrSuStSh04,LeChLiKoHuTr08,LeChKoHuTr09,LeKoHuTr09}.\\
+
+For a detailed introduction to the SEM as applied to regional seismic
+wave propagation, please consult \citet{PeKoLuMaLeCaLeMaLiBlNiBaTr11,TrKoLi08,KoVi98,KoTr99,ChKoViCaVaFe07}
+and in particular \citet{LeKoHuTr09,LeChKoHuTr09,LeChLiKoHuTr08,GoAmTaCaSmSaMaKo09,WiKoScTr04,KoLiTrSuStSh04}.
+A detailed theoretical analysis of the dispersion and stability properties
+of the SEM is available in \citet{Coh02}, \citet{DeSe07}, \citet{SeOl07}
+and \citet{SeOl08}.\\
+
+
Effects due to lateral variations in compressional-wave speed, shear-wave
speed, density, a 3D crustal model, topography and bathymetry are
-included. The package can accommodate
-full 21-parameter anisotropy (see~\citet{ChTr07}) as well as lateral
-variations in attenuation \citep{SaKoTr10}. Adjoint capabilities and finite-frequency
-kernel simulations are included \citep{TrKoLi08,PeKoLuMaLeCaLeMaLiBlNiBaTr11,LiTr06,FiIgBuKe09,ViOp09}.\\
+included. The package can accommodate full 21-parameter anisotropy
+(see~\citet{ChTr07}) as well as lateral variations in attenuation
+\citep{SaKoTr10}. Adjoint capabilities and finite-frequency kernel
+simulations are included \citep{TrKoLi08,PeKoLuMaLeCaLeMaLiBlNiBaTr11,LiTr06,FiIgBuKe09,ViOp09}.\\
+
The SEM was originally developed in computational fluid dynamics \citep{Pat84,MaPa89}
-and has been successfully adapted to address problems in seismic wave propagation.
-Early seismic wave propagation applications of the SEM, utilizing Legendre basis functions and a
-perfectly diagonal mass matrix, include \cite{CoJoTo93}, \cite{Kom97},
-\cite{FaMaPaQu97}, \cite{CaGa97}, \cite{KoVi98} and \cite{KoTr99},
-whereas applications involving Chebyshev basis functions and a nondiagonal mass matrix
-include \cite{SePr94}, \cite{PrCaSe94} and \cite{SePrPr95}.\\
+and has been successfully adapted to address problems in seismic wave
+propagation. Early seismic wave propagation applications of the SEM,
+utilizing Legendre basis functions and a perfectly diagonal mass matrix,
+include \citet{CoJoTo93}, \citet{Kom97}, \citet{FaMaPaQu97}, \citet{CaGa97},
+\citet{KoVi98} and \citet{KoTr99}, whereas applications involving
+Chebyshev basis functions and a nondiagonal mass matrix include \citet{SePr94},
+\citet{PrCaSe94} and \citet{SePrPr95}.\\
+
All SPECFEM3D software is written in Fortran2003 with full portability
in mind, and conforms strictly to the Fortran2003 standard. It uses
-no obsolete or obsolescent features of Fortran. The package uses
-parallel programming based upon the Message Passing Interface (MPI)
-\citep{GrLuSk94,Pac97}.\\
+no obsolete or obsolescent features of Fortran. The package uses parallel
+programming based upon the Message Passing Interface (MPI) \citep{GrLuSk94,Pac97}.\\
+
SPECFEM3D won the Gordon Bell award for best performance at the SuperComputing~2003
-conference in Phoenix, Arizona (USA) (see \cite{KoTsChTr03}
-and \url{www.sc-conference.org/sc2003/nr_finalaward.html}).
-It was a finalist again in 2008 for a run at 0.16 petaflops (sustained) on 149,784 processors of the `Jaguar' Cray XT5 system at Oak Ridge National Laboratories (USA) \citep{CaKoLaTiMiLeSnTr08}.
-It also won the BULL Joseph Fourier supercomputing award in 2010.\\
+conference in Phoenix, Arizona (USA) (see \citet{KoTsChTr03} and
+\url{www.sc-conference.org/sc2003/nrfinalaward.html}). It was a finalist
+again in 2008 for a run at 0.16 petaflops (sustained) on 149,784 processors
+of the `Jaguar' Cray XT5 system at Oak Ridge National Laboratories
+(USA) \citep{CaKoLaTiMiLeSnTr08}. It also won the BULL Joseph Fourier
+supercomputing award in 2010.\\
-This new release of the code (version 2.1)
-includes Convolution or Auxiliary Differential Equation Perfectly Matched absorbing Layers
+
+This new release of the code (version 2.1) includes Convolution or
+Auxiliary Differential Equation Perfectly Matched absorbing Layers
(C-PML or ADE-PML) \citep{MaKoEz08,MaKoGe08,MaKo09,MaKoGeBr10,KoMa07}.
It also includes support for GPU graphics card acceleration \citep{KoMiEr09,KoErGoMi10,MiKo10,Kom11}.\\
-The next release of the code will use the PT-SCOTCH parallel and threaded version of SCOTCH for mesh partitioning instead of the serial version.\\
-SPECFEM3D Cartesian includes coupled fluid-solid domains and
-adjoint capabilities, which enables one to address seismological inverse problems, but for linear rheologies only so far.
-To accommodate visco-plastic or non-linear rheologies, the reader can refer to
-the \href{http://geoelse.stru.polimi.it/}{GeoELSE} software package \citep{CaGa97,StPaIg09}.
+The next release of the code will use the PT-SCOTCH parallel and threaded
+version of SCOTCH for mesh partitioning instead of the serial version.\\
-\section{Citation}
-If you use SPECFEM3D Cartesian for your own research, please cite at least one
-of the following articles:
+SPECFEM3D Cartesian includes coupled fluid-solid domains and adjoint
+capabilities, which enables one to address seismological inverse problems,
+but for linear rheologies only so far. To accommodate visco-plastic
+or non-linear rheologies, the reader can refer to the \href{http://geoelse.stru.polimi.it/}{GeoELSE}software
+package \citep{CaGa97,StPaIg09}.
-\begin{description}
-\item [Numerical simulations in general] ~\\
-Forward and adjoint simulations are described in detail in \cite{TrKoLi08,PeKoLuMaLeCaLeMaLiBlNiBaTr11,VaCaSaKoVi99,KoMiEr09,KoErGoMi10,ChKoViCaVaFe07,MaKoDi09,KoViCh10,CaKoLaTiMiLeSnTr08,TrKoHjLiZhPeBoMcFrTrHu10,KoRiTr02,KoTr02a,KoTr02b,KoTr99} or \cite{KoVi98}.
-Additional aspects of adjoint simulations are described in
-\cite{TrTaLi05,LiTr06,TrKoLi08,LiTr08,TrKoHjLiZhPeBoMcFrTrHu10,PeKoLuMaLeCaLeMaLiBlNiBaTr11}.
-Domain decomposition is explained in detail in \cite{MaKoBlLe08}, and excellent scaling up to 150,000 processor cores is shown for instance in
-\cite{CaKoLaTiMiLeSnTr08,KoLaMi08a,MaKoBlLe08,KoErGoMi10,Kom11},
+\section{Citation}
-\item [GPU computing] ~\\
-Computing on GPU graphics cards for acoustic or seismic wave propagation applications
-is described in detail in \cite{KoMiEr09,KoErGoMi10,MiKo10,Kom11}.
-
+If you use SPECFEM3D Cartesian for your own research, please cite
+at least one of the following articles:
+\begin{description}
+\item [{Numerical simulations in general}] ~\\
+ Forward and adjoint simulations are described in detail in \citet{TrKoLi08,PeKoLuMaLeCaLeMaLiBlNiBaTr11,VaCaSaKoVi99,KoMiEr09,KoErGoMi10,ChKoViCaVaFe07,MaKoDi09,KoViCh10,CaKoLaTiMiLeSnTr08,TrKoHjLiZhPeBoMcFrTrHu10,KoRiTr02,KoTr02a,KoTr02b,KoTr99}
+or \citet{KoVi98}. Additional aspects of adjoint simulations are
+described in \citet{TrTaLi05,LiTr06,TrKoLi08,LiTr08,TrKoHjLiZhPeBoMcFrTrHu10,PeKoLuMaLeCaLeMaLiBlNiBaTr11}.
+Domain decomposition is explained in detail in \citet{MaKoBlLe08},
+and excellent scaling up to 150,000 processor cores is shown for instance
+in \citet{CaKoLaTiMiLeSnTr08,KoLaMi08a,MaKoBlLe08,KoErGoMi10,Kom11},
+\item [{GPU computing}] ~\\
+ Computing on GPU graphics cards for acoustic or seismic wave propagation
+applications is described in detail in \citet{KoMiEr09,KoErGoMi10,MiKo10,Kom11}.
\end{description}
+\noindent If you use this new version 2.1, which has non blocking
+MPI for much better performance for medium or large runs, please cite
+at least one of these six articles, in which results of non blocking
+MPI runs are presented: \citet{PeKoLuMaLeCaLeMaLiBlNiBaTr11,KoErGoMi10,KoViCh10,Kom11,CaKoLaTiMiLeSnTr08,MaKoBlLe08}.\\
-\noindent
-If you use this new version 2.1, which has non blocking MPI for much better performance for medium or large runs, please cite at least one of these six articles,
-in which results of non blocking MPI runs are presented: \cite{PeKoLuMaLeCaLeMaLiBlNiBaTr11,KoErGoMi10,KoViCh10,Kom11,CaKoLaTiMiLeSnTr08,MaKoBlLe08}.\\
-\noindent
-If you work on geophysical applications, you may be interested in citing some of these application articles as well, among others:
-
+\noindent If you work on geophysical applications, you may be interested
+in citing some of these application articles as well, among others:
\begin{description}
+\item [{Southern California simulations}] ~\\
+ \citet{KoLiTrSuStSh04,KrJiKoTr06a,KrJiKoTr06b}.
-\item [Southern California simulations] ~\\
-\cite{KoLiTrSuStSh04,KrJiKoTr06a,KrJiKoTr06b}.
-If you use the 3D southern California model, please cite
-\citet{SuSh03} (Los Angeles model),
-\citet{lovelyetal06} (Salton Trough), and
-\citet{hauksson2000} (southern California).
-The Moho map was determined by
-\citet{zhu&kanamori2000}.
+If you use the 3D southern California model, please cite \citet{SuSh03}
+(Los Angeles model), \citet{lovelyetal06} (Salton Trough), and \citet{hauksson2000}
+(southern California). The Moho map was determined by \citet{zhu&kanamori2000}.
The 1D SoCal model was developed by \citet{DrHe90}.
-\item [Anisotropy] ~\\
-\cite{ChTr07,JiTsKoTr05,ChFaKo04,FaChKo04,RiRiKoTrHe02,TrKo00}.
-
-\item [Attenuation] ~\\
-\cite{SaKoTr10,KoTr02a,KoTr99}.
-
-\item [Topography] ~\\
-\cite{LeKoHuTr09,LeChKoHuTr09,LeChLiKoHuTr08,GoAmTaCaSmSaMaKo09,WiKoScTr04}.
-
+\item [{Anisotropy}] ~\\
+ \citet{ChTr07,JiTsKoTr05,ChFaKo04,FaChKo04,RiRiKoTrHe02,TrKo00}.
+\item [{Attenuation}] ~\\
+ \citet{SaKoTr10,KoTr02a,KoTr99}.
+\item [{Topography}] ~\\
+ \citet{LeKoHuTr09,LeChKoHuTr09,LeChLiKoHuTr08,GoAmTaCaSmSaMaKo09,WiKoScTr04}.
\end{description}
+The corresponding Bib\TeX{} entries may be found in file \texttt{doc/USER\_MANUAL/bibliography.bib}.
-The corresponding Bib\TeX{} entries may be found
-in file \texttt{doc/USER\_MANUAL/bibliography.bib}.
-
\section{Support}
This material is based upon work supported by the USA National Science
Foundation under Grants No. EAR-0406751 and EAR-0711177, by the French
CNRS, French INRIA Sud-Ouest MAGIQUE-3D, French ANR NUMASIS under
Grant No. ANR-05-CIGC-002, and European FP6 Marie Curie International
-Reintegration Grant No. MIRG-CT-2005-017461.
-Any opinions, findings, and conclusions or recommendations expressed in this material are
+Reintegration Grant No. MIRG-CT-2005-017461. Any opinions, findings,
+and conclusions or recommendations expressed in this material are
those of the authors and do not necessarily reflect the views of the
USA National Science Foundation, CNRS, INRIA, ANR or the European
Marie Curie program.
@@ -305,89 +304,125 @@
\chapter{\label{cha:Getting-Started}Getting Started}
-The SPECFEM3D Cartesian software package comes in a gzipped tar ball. In the
-directory in which you want to install the package, type
+The SPECFEM3D Cartesian software package comes in a gzipped tar ball.
+In the directory in which you want to install the package, type
\begin{lyxcode}
{\small tar~-zxvf~SPECFEM3D\_V2.1.0\_Cartesian.tar.gz}{\small \par}
\end{lyxcode}
-The directory \texttt{\small SPECFEM3D/} will then contain
-the source code.\\
+The directory \texttt{\small SPECFEM3D/}{\small{} will then contain
+the source code.}\\
+{\small \par}
-We recommend that you add {\texttt{ulimit -S -s unlimited}} to your {\texttt{.bash\_profile}} file and/or {\texttt{limit stacksize unlimited }} to your {\texttt{.cshrc}} file to suppress any potential limit to the size of the Unix stack.\\
+We recommend that you add {\texttt{ulimit -S -s unlimited}} to your
+{\texttt{.bash\_profile}} file and/or {\texttt{limit stacksize
+unlimited }} to your {\texttt{.cshrc}} file to suppress any potential
+limit to the size of the Unix stack.\\
-Then, to configure the software for your system, run the
-\texttt{configure} shell script. This script will attempt to guess
-the appropriate configuration values for your system. However, at
-a minimum, it is recommended that you explicitly specify the appropriate
-command names for your Fortran compiler and MPI package (another option is to define FC, CC and MPIF90 in your .bash\_profile
-or your .cshrc file):
+Then, to configure the software for your system, run the \texttt{configure}
+shell script. This script will attempt to guess the appropriate configuration
+values for your system. However, at a minimum, it is recommended that
+you explicitly specify the appropriate command names for your Fortran
+compiler and MPI package (another option is to define FC, CC and MPIF90
+in your .bash\_profile or your .cshrc file):
\begin{lyxcode}
./configure~FC=ifort~MPIFC=mpif90
\end{lyxcode}
-
-Before running the \texttt{configure} script, you should probably edit file \texttt{flags.guess} to make sure that it contains the best compiler options for your system. Known issues or things to check are:
-
+Before running the \texttt{configure} script, you should probably
+edit file \texttt{flags.guess} to make sure that it contains the best
+compiler options for your system. Known issues or things to check
+are:
\begin{description}
-\item [{\texttt{Intel ifort compiler}}] See if you need to add \texttt{-assume byterecl} for your machine.
-\item [{\texttt{IBM compiler}}] See if you need to add \texttt{-qsave} or \texttt{-qnosave} for your machine.
+\item [{\texttt{Intel ifort compiler}}] See if you need to add \texttt{-assume
+byterecl} for your machine.
+\item [{\texttt{IBM compiler}}] See if you need to add \texttt{-qsave}
+or \texttt{-qnosave} for your machine.
\item [{\texttt{Mac OS}}] You will probably need to install \texttt{XCODE}.
-In addition, the \texttt{clock\_gettime} routine, which is used by the \texttt{SCOTCH} library that we use, does not exist in Mac OS.
-You will need to replace it with \texttt{clock\_get\_time} if you want to use \texttt{SCOTCH}.
+In addition, the \texttt{clock\_gettime} routine, which is used by
+the \texttt{SCOTCH} library that we use, does not exist in Mac OS.
+You will need to replace it with \texttt{clock\_get\_time} if you
+want to use \texttt{SCOTCH}.
\end{description}
+When compiling on an IBM machine with the \texttt{xlf} and \texttt{xlc}
+compilers, we suggest running the \texttt{configure} script with the
+following options:\\
-When compiling on an IBM machine with the \texttt{xlf} and \texttt{xlc} compilers, we suggest running the \texttt{configure} script
-with the following options:\\
-\noindent\texttt{./configure FC=xlf90\_r MPIFC=mpif90 CC=xlc\_r CFLAGS="-O3 -q64" FCFLAGS="-O3 -q64" -with-scotch-dir=...}.\\
+\noindent \texttt{./configure FC=xlf90\_r MPIFC=mpif90 CC=xlc\_r CFLAGS=\textquotedbl{}-O3
+-q64\textquotedbl{} FCFLAGS=\textquotedbl{}-O3 -q64\textquotedbl{}
+-with-scotch-dir=...}.\\
+
On SGI systems, \texttt{flags.guess} automatically informs \texttt{configure}
to insert `\texttt{`TRAP\_FPE=OFF}'' into the generated \texttt{Makefile}
in order to turn underflow trapping off.\\
-If you run very large meshes on a relatively small number
-of processors, the memory size needed on each processor might become
-greater than 2 gigabytes, which is the upper limit for 32-bit addressing.
-In this case, on some compilers you may need to add \texttt{``-mcmodel=medium}'' or \texttt{``-mcmodel=medium -shared-intel}''
-to the configure options of CFLAGS, FCFLAGS and LDFLAGS otherwise the compiler will display an error
-message (for instance \texttt{``relocation truncated to fit: R\_X86\_64\_PC32 against .bss''} or something similar);
-on an IBM machine with the \texttt{xlf} and \texttt{xlc} compilers, using \texttt{-q64} is usually sufficient.\\
-Note that we use CUBIT to create meshes of hexahedra, but other packages can be used as well, for instance GiD from \url{http://gid.cimne.upc.es} or Gmsh from \url{http://geuz.org/gmsh} \citep{GeRe09}. Even mesh creation packages that generate tetrahedra, for instance TetGen from \url{http://tetgen.berlios.de}, can be used because each tetrahedron can then easily be decomposed into four hexahedra as shown in the picture of the TetGen logo at \url{http://tetgen.berlios.de/figs/Delaunay-Voronoi-3D.gif}; while this approach does not generate hexahedra of optimal quality, it can ease mesh creation in some situations and it has been shown that the spectral-element method can very accurately handle distorted mesh elements \citep{OlSe11}.
+If you run very large meshes on a relatively small number of processors,
+the memory size needed on each processor might become greater than
+2 gigabytes, which is the upper limit for 32-bit addressing. In this
+case, on some compilers you may need to add \texttt{``-mcmodel=medium}''
+or \texttt{``-mcmodel=medium -shared-intel}'' to the configure options
+of CFLAGS, FCFLAGS and LDFLAGS otherwise the compiler will display
+an error message (for instance \texttt{``relocation truncated to
+fit: R\_X86\_64\_PC32 against .bss''} or something similar); on an
+IBM machine with the \texttt{xlf} and \texttt{xlc} compilers, using
+\texttt{-q64} is usually sufficient.\\
-The SPECFEM3D Cartesian software package relies on the SCOTCH library to partition meshes created with CUBIT.
-METIS \citep{KaKu98a,KaKu98c,KaKu98b} can also be used instead of SCOTCH if you prefer, by editing file src/decompose\_mesh/decompose\_mesh.F90 and uncommenting the flag USE\_METIS\_INSTEAD\_OF\_SCOTCH. You will also then need to install and compile Metis version 4.0 (do *NOT* install Metis version 5.0, which has incompatible function calls) and edit \texttt{src/decompose\_mesh/Makefile.in} and uncomment the METIS link flag in that file before running \texttt{configure}.\\
-The SCOTCH library \citep{PeRo96}
-provides efficent static mapping, graph and mesh partitioning routines. SCOTCH is a free software package developed by
-Fran\c {c}ois Pellegrini et al. from LaBRI and INRIA in Bordeaux, France, downloadable from the web page \url{https://gforge.inria.fr/projects/scotch/}.
-In case no SCOTCH libraries can be found on the system, the configuration will bundle the version provided with the source code for compilation.
-The path to an existing SCOTCH installation can to be set explicitly with the option \texttt{-{}-with-scotch-dir}. Just as an example:
+Note that we use CUBIT to create meshes of hexahedra, but other packages
+can be used as well, for instance GiD from \url{http://gid.cimne.upc.es}
+or Gmsh from \url{http://geuz.org/gmsh} \citep{GeRe09}. Even mesh
+creation packages that generate tetrahedra, for instance TetGen from
+\url{http://tetgen.berlios.de}, can be used because each tetrahedron
+can then easily be decomposed into four hexahedra as shown in the
+picture of the TetGen logo at \url{http://tetgen.berlios.de/figs/Delaunay-Voronoi-3D.gif};
+while this approach does not generate hexahedra of optimal quality,
+it can ease mesh creation in some situations and it has been shown
+that the spectral-element method can very accurately handle distorted
+mesh elements \citep{OlSe11}.
+
+The SPECFEM3D Cartesian software package relies on the SCOTCH library
+to partition meshes created with CUBIT. METIS \citep{KaKu98a,KaKu98c,KaKu98b}
+can also be used instead of SCOTCH if you prefer, by editing file
+src/decompose\_mesh/decompose\_mesh.F90 and uncommenting the flag
+USE\_METIS\_INSTEAD\_OF\_SCOTCH. You will also then need to install
+and compile Metis version 4.0 (do {*}NOT{*} install Metis version
+5.0, which has incompatible function calls) and edit \texttt{src/decompose\_mesh/Makefile.in}
+and uncomment the METIS link flag in that file before running \texttt{configure}.\\
+
+
+The SCOTCH library \citep{PeRo96} provides efficent static mapping,
+graph and mesh partitioning routines. SCOTCH is a free software package
+developed by François Pellegrini et al. from LaBRI and INRIA in Bordeaux,
+France, downloadable from the web page \url{https://gforge.inria.fr/projects/scotch/}.
+In case no SCOTCH libraries can be found on the system, the configuration
+will bundle the version provided with the source code for compilation.
+The path to an existing SCOTCH installation can to be set explicitly
+with the option \texttt{-{}-with-scotch-dir}. Just as an example:
\begin{lyxcode}
./configure~FC=ifort~MPIFC=mpif90~-{}-with-scotch-dir=/opt/scotch
\end{lyxcode}
-
-If you use the Intel ifort compiler to compile the code, we recommend that you use the Intel icc C compiler to compile Scotch, i.e., use:
+If you use the Intel ifort compiler to compile the code, we recommend
+that you use the Intel icc C compiler to compile Scotch, i.e., use:
\begin{lyxcode}
./configure~CC=icc~FC=ifort~MPIFC=mpif90
\end{lyxcode}
-
To compile a serial version of the code for small meshes that fits
on one compute node and can therefore be run serially, run \texttt{configure}
with the \texttt{-{}-without-mpi} option to suppress all calls to
MPI.
A summary of the most important configuration variables follows.
-
\begin{description}
-\item [{\texttt{F90}}] Path to the Fortran compiler.
-\item [{\texttt{MPIF90}}] Path to MPI Fortran.
+\item [{\texttt{F90}}] Path to the Fortran compiler.
+\item [{\texttt{MPIF90}}] Path to MPI Fortran.
\item [{\texttt{MPI\_FLAGS}}] Some systems require this flag to link to
-MPI libraries.
-\item [{\texttt{FLAGS\_CHECK}}] Compiler flags.
+MPI libraries.
+\item [{\texttt{FLAGS\_CHECK}}] Compiler flags.
\end{description}
-The configuration script automatically creates for each executable a corresponding
-\texttt{Makefile} in the \texttt{src/} subdirectoy.
+The configuration script automatically creates for each executable
+a corresponding \texttt{Makefile} in the \texttt{src/} subdirectoy.
The \texttt{Makefile} contains a number of suggested entries for various
compilers, e.g., Portland, Intel, Absoft, NAG, and Lahey. The software
has run on a wide variety of compute platforms, e.g., various PC clusters
@@ -403,491 +438,671 @@
Now that you have set the compiler information, you need to select
a number of flags in the \texttt{constants.h} file depending on your
system:
-
\begin{description}
\item [{\texttt{LOCAL\_PATH\_IS\_ALSO\_GLOBAL}}] Set to \texttt{.false.}
on most cluster applications. For reasons of speed, the (parallel)
-distributed database generator typically writes a (parallel) database for the solver on the
-local disks of the compute nodes. Some systems have no local disks,
-e.g., BlueGene or the Earth Simulator, and other systems have a fast
-parallel file system, in which case this flag should be set to \texttt{.true.}.
-Note that this flag is not used by the database generator or the solver; it is
-only used for some of the post-processing.
+distributed database generator typically writes a (parallel) database
+for the solver on the local disks of the compute nodes. Some systems
+have no local disks, e.g., BlueGene or the Earth Simulator, and other
+systems have a fast parallel file system, in which case this flag
+should be set to \texttt{.true.}. Note that this flag is not used
+by the database generator or the solver; it is only used for some
+of the post-processing.
\end{description}
-The package can run either
-in single or in double precision mode. The default is single precision
-because for almost all calculations performed using the spectral-element method
-using single precision is sufficient and gives the same results (i.e. the same seismograms);
-and the single precision code is faster and requires exactly half as much memory.
-Select your preference by selecting the appropriate setting in the \texttt{constants.h} file:
-
+The package can run either in single or in double precision mode.
+The default is single precision because for almost all calculations
+performed using the spectral-element method using single precision
+is sufficient and gives the same results (i.e. the same seismograms);
+and the single precision code is faster and requires exactly half
+as much memory. Select your preference by selecting the appropriate
+setting in the \texttt{constants.h} file:
\begin{description}
\item [{\texttt{CUSTOM\_REAL}}] Set to \texttt{SIZE\_REAL} for single precision
-and \texttt{SIZE\_DOUBLE} for double precision.
+and \texttt{SIZE\_DOUBLE} for double precision.
\end{description}
In the \texttt{precision.h} file:
-
\begin{description}
\item [{\texttt{CUSTOM\_MPI\_TYPE}}] Set to \texttt{MPI\_REAL} for single
-precision and \texttt{MPI\_DOUBLE\_PRECISION} for double precision.
+precision and \texttt{MPI\_DOUBLE\_PRECISION} for double precision.
\end{description}
-On many current processors (e.g., Intel, AMD, IBM Power), single precision calculations
-are significantly faster; the difference can typically be 10\%
-to 25\%. It is therefore better to use single precision.
-What you can do once for the physical problem you want to study is run the same calculation in single precision
-and in double precision on your system and compare the seismograms.
-If they are identical (and in most cases they will), you can select single precision for your future runs.\\
+On many current processors (e.g., Intel, AMD, IBM Power), single precision
+calculations are significantly faster; the difference can typically
+be 10\% to 25\%. It is therefore better to use single precision. What
+you can do once for the physical problem you want to study is run
+the same calculation in single precision and in double precision on
+your system and compare the seismograms. If they are identical (and
+in most cases they will), you can select single precision for your
+future runs.\\
+
+
\section{Adding OpenMP support in addition to MPI}
-OpenMP support can be enabled in addition to MPI. However, in many cases performance will not improve
-because our pure MPI implementation is already heavily optimized and thus the resulting code will in fact
-be slightly slower. A possible exception could be IBM BlueGene-type architectures.
+OpenMP support can be enabled in addition to MPI. However, in many
+cases performance will not improve because our pure MPI implementation
+is already heavily optimized and thus the resulting code will in fact
+be slightly slower. A possible exception could be IBM BlueGene-type
+architectures.
-To enable OpenMP, uncomment the OpenMP compiler option in two lines in file \texttt{src/specfem3D/Makefile.in}
-(before running \texttt{configure}) and also uncomment the \texttt{\#define USE\_OPENMP} statement in file\\
-\texttt{src/specfem3D/specfem3D.F90}.
+To enable OpenMP, uncomment the OpenMP compiler option in two lines
+in file \texttt{src/specfem3D/Makefile.in} (before running \texttt{configure})
+and also uncomment the \texttt{\#define USE\_OPENMP} statement in
+file\\
+ \texttt{src/specfem3D/specfem3D.F90}.
The DO-loop using OpenMP threads has a SCHEDULE property. The OMP\_SCHEDULE
environment variable can set the scheduling policy of that DO-loop.
-Tests performed by Marcin Zielinski at SARA (The Netherlands) showed that often
-the best scheduling policy is DYNAMIC with the size of the chunk equal to the number of
-OpenMP threads, but most preferably being twice as the number of
-OpenMP threads (thus chunk size = 8 for 4 OpenMP threads etc).
-If OMP\_SCHEDULE is not set or is empty, the DO-loop will assume generic
-scheduling policy, which will slow down the job quite a bit.
+Tests performed by Marcin Zielinski at SARA (The Netherlands) showed
+that often the best scheduling policy is DYNAMIC with the size of
+the chunk equal to the number of OpenMP threads, but most preferably
+being twice as the number of OpenMP threads (thus chunk size = 8 for
+4 OpenMP threads etc). If OMP\_SCHEDULE is not set or is empty, the
+DO-loop will assume generic scheduling policy, which will slow down
+the job quite a bit.
+
\section{Compiling on an IBM BlueGene}
\underline{More recent installation instruction for IBM BlueGene, from April 2013:}\\
-\noindent
-Edit file \texttt{flags.guess} and put this for \texttt{FLAGS\_CHECK}:\\
-\noindent
-\texttt{-g -qfullpath -O2 -qsave -qstrict -qtune=qp -qarch=qp -qcache=auto -qhalt=w}\\
-\noindent
-\texttt{-qfree=f90 -qsuffix=f=f90 -qlanglvl=95pure -Q -Q+rank,swap\_all -Wl,-relax}\\
+\noindent Edit file \texttt{flags.guess} and put this for \texttt{FLAGS\_CHECK}:\\
-\noindent
-The most relevant are the -qarch and -qtune flags, otherwise if these flags are set to ``auto'' then they are wrongly assigned to
-the architecture of the frond-end node, which is different from that on the compute nodes.
-You will need to set these flags to the right architecture for your BlueGene compute nodes, which is not necessarily ``qp'';
-ask your system administrator.
-On some machines if is necessary to use -O2 in these flags instead of -O3 due to a compiler bug of the XLF version installed.
-We thus suggest to first try -O3, and then if the code does not compile or does not run fine then switch back to -O2.
-The debug flags (-g, -qfullpath) do not influence performance but are useful to get at least some insights in case of problems.\\
-\noindent
-Before running \texttt{configure}, select the XL Fortran compiler by typing \texttt{module load bgq-xl/1.0}
-or \texttt{module load bgq-xl} (another, less efficient option is to load the GNU compilers using \texttt{module load bgq-gnu/4.4.6} or similar).\\
+\noindent \texttt{-g -qfullpath -O2 -qsave -qstrict -qtune=qp -qarch=qp
+-qcache=auto -qhalt=w}\\
+ \texttt{-qfree=f90 -qsuffix=f=f90 -qlanglvl=95pure -Q -Q+rank,swap\_all
+-Wl,-relax}\\
-\noindent
-Then, to configure the code, type this:\\
-\noindent
-\texttt{./configure FC=bgxlf90\_r MPIFC=mpixlf90\_r CC=bgxlc\_r LOCAL\_PATH\_IS\_ALSO\_GLOBAL=true}\\
+\noindent The most relevant are the -qarch and -qtune flags, otherwise
+if these flags are set to ``auto'' then they are wrongly assigned
+to the architecture of the frond-end node, which is different from
+that on the compute nodes. You will need to set these flags to the
+right architecture for your BlueGene compute nodes, which is not necessarily
+``qp''; ask your system administrator. On some machines if is necessary
+to use -O2 in these flags instead of -O3 due to a compiler bug of
+the XLF version installed. We thus suggest to first try -O3, and then
+if the code does not compile or does not run fine then switch back
+to -O2. The debug flags (-g, -qfullpath) do not influence performance
+but are useful to get at least some insights in case of problems.\\
-In order for the SCOTCH domain decomposer to compile, on some (but not all) Blue Gene systems you may need to
-run \texttt{configure} with \texttt{CC=gcc} instead of \texttt{CC=bgxlc\_r}.
+\noindent Before running \texttt{configure}, select the XL Fortran
+compiler by typing \texttt{module load bgq-xl/1.0} or \texttt{module
+load bgq-xl} (another, less efficient option is to load the GNU compilers
+using \texttt{module load bgq-gnu/4.4.6} or similar).\\
-\noindent
-\underline{Older installation instruction for IBM BlueGene, from 2011:}\\
-\noindent
-To compile the code on an IBM BlueGene, Laurent L\'eger from IDRIS, France, suggests the following: compile the code with
+\noindent Then, to configure the code, type this:\\
-\noindent
-\texttt{ FLAGS\_CHECK="-O3 -qsave -qstrict -qtune=auto -qarch=450d -qcache=auto \\}
-\texttt{ -qfree=f90 -qsuffix=f=f90 -g -qlanglvl=95pure -qhalt=w -Q -Q+rank,swap\_all -Wl,-relax"}
-\noindent
-Option "-Wl,-relax" must be added on many (but not all) BlueGene systems to be able to link the binaries \texttt{xmeshfem3D}
-and \texttt{xspecfem3D} because the final link step is done by the GNU \texttt{ld} linker even if
-one uses \texttt{FC=bgxlf90\_r, MPIFC=mpixlf90\_r} and \texttt{CC=bgxlc\_r} to create all the object files.
-On the contrary, on some BlueGene systems that use the native AIX linker option "-Wl,-relax" can lead to problems and must be suppressed from \texttt{flags.guess}.
+\noindent \texttt{./configure FC=bgxlf90\_r MPIFC=mpixlf90\_r CC=bgxlc\_r
+LOCAL\_PATH\_IS\_ALSO\_GLOBAL=true}\\
-\noindent
-Also, \texttt{AR=ar, ARFLAGS=cru} and \texttt{RANLIB=ranlib} are hardwired in all \texttt{Makefile.in} files by default, but to cross-compile on BlueGene/P one needs to change
-these values to \texttt{AR=bgar, ARFLAGS=cru} and \texttt{RANLIB=bgranlib}. Thus the easiest thing to do is to modify
-all \texttt{Makefile.in} files and the \texttt{configure} script to set them automatically by \texttt{configure}.
-One then just needs to pass the right commands to the \texttt{configure} script:
-\noindent
-\texttt{ ./configure --prefix=/path/to/SPECFEM3DG\_SP --host=Babel --build=BGP \\}
-\texttt{ FC=bgxlf90\_r MPIFC=mpixlf90\_r CC=bgxlc\_r AR=bgar ARFLAGS=cru \\}
-\texttt{ RANLIB=bgranlib LOCAL\_PATH\_IS\_ALSO\_GLOBAL=false}
+In order for the SCOTCH domain decomposer to compile, on some (but
+not all) Blue Gene systems you may need to run \texttt{configure}
+with \texttt{CC=gcc} instead of \texttt{CC=bgxlc\_r}.
-\noindent
-This trick can be useful for all hosts on which one needs to cross-compile.
+\noindent \underline{Older installation instruction for IBM BlueGene, from 2011:}\\
-\noindent
-On BlueGene, one also needs to run the \texttt{xcreate\_header\_file} binary file manually rather than in the Makefile:
-\noindent
- \texttt{bgrun -np 1 -mode VN -exe ./bin/xcreate\_header\_file}
+\noindent To compile the code on an IBM BlueGene, Laurent Léger from
+IDRIS, France, suggests the following: compile the code with
+\noindent \texttt{ FLAGS\_CHECK=\textquotedbl{}-O3 -qsave -qstrict
+-qtune=auto -qarch=450d -qcache=auto }~\\
+ \texttt{ -qfree=f90 -qsuffix=f=f90 -g -qlanglvl=95pure -qhalt=w -Q
+-Q+rank,swap\_all -Wl,-relax\textquotedbl{}}
+\noindent Option \textquotedbl{}-Wl,-relax\textquotedbl{} must be
+added on many (but not all) BlueGene systems to be able to link the
+binaries \texttt{xmeshfem3D} and \texttt{xspecfem3D} because the final
+link step is done by the GNU \texttt{ld} linker even if one uses \texttt{FC=bgxlf90\_r,
+MPIFC=mpixlf90\_r} and \texttt{CC=bgxlc\_r} to create all the object
+files. On the contrary, on some BlueGene systems that use the native
+AIX linker option \textquotedbl{}-Wl,-relax\textquotedbl{} can lead
+to problems and must be suppressed from \texttt{flags.guess}.
+
+\noindent Also, \texttt{AR=ar, ARFLAGS=cru} and \texttt{RANLIB=ranlib}
+are hardwired in all \texttt{Makefile.in} files by default, but to
+cross-compile on BlueGene/P one needs to change these values to \texttt{AR=bgar,
+ARFLAGS=cru} and \texttt{RANLIB=bgranlib}. Thus the easiest thing
+to do is to modify all \texttt{Makefile.in} files and the \texttt{configure}
+script to set them automatically by \texttt{configure}. One then just
+needs to pass the right commands to the \texttt{configure} script:
+
+\noindent \texttt{ ./configure -{}-prefix=/path/to/SPECFEM3DG\_SP
+-{}-host=Babel -{}-build=BGP }~\\
+ \texttt{ FC=bgxlf90\_r MPIFC=mpixlf90\_r CC=bgxlc\_r AR=bgar ARFLAGS=cru
+}~\\
+ \texttt{ RANLIB=bgranlib LOCAL\_PATH\_IS\_ALSO\_GLOBAL=false}
+
+\noindent This trick can be useful for all hosts on which one needs
+to cross-compile.
+
+\noindent On BlueGene, one also needs to run the \texttt{xcreate\_header\_file}
+binary file manually rather than in the Makefile:
+
+\noindent \texttt{bgrun -np 1 -mode VN -exe ./bin/xcreate\_header\_file}
+
+
\section{Visualizing the subroutine calling tree of the source code}
-Packages such as \texttt{doxywizard} can be used to visualize the subroutine calling tree of the source code.
-\texttt{Doxywizard} is a GUI front-end for configuring and running \texttt{doxygen}.
+Packages such as \texttt{doxywizard} can be used to visualize the
+subroutine calling tree of the source code. \texttt{Doxywizard} is
+a GUI front-end for configuring and running \texttt{doxygen}.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
\chapter{\label{cha:Mesh-Generation}Mesh Generation}
-The first step in running a spectral-element simulation consists of constructing a high-quality mesh for the region under consideration. We provide two possibilities to do so: (1) relying on the external, hexahedral mesher CUBIT, or (2) using the provided, internal mesher \texttt{xmeshfem3D}. In the following, we explain these two approaches.
+The first step in running a spectral-element simulation consists of
+constructing a high-quality mesh for the region under consideration.
+We provide two possibilities to do so: (1) relying on the external,
+hexahedral mesher CUBIT, or (2) using the provided, internal mesher
+\texttt{xmeshfem3D}. In the following, we explain these two approaches.
\section{\label{cha:Running-the-Mesher-CUBIT}Meshing with \texttt{CUBIT}}
-CUBIT is a meshing tool suite for the creation of finite-element meshes for arbitrarily shaped models. It has been developed and maintained at Sandia National Laboratories and can be purchased for a small academic institutional fee at \url{http://cubit.sandia.gov}.
-Our experience showed that using CUBIT greatly facilitates and speeds up the generation and preparation of hexahedral, conforming meshes for a variety of geophysical models with increasing complexity.
+CUBIT is a meshing tool suite for the creation of finite-element meshes
+for arbitrarily shaped models. It has been developed and maintained
+at Sandia National Laboratories and can be purchased for a small academic
+institutional fee at \url{http://cubit.sandia.gov}. Our experience
+showed that using CUBIT greatly facilitates and speeds up the generation
+and preparation of hexahedral, conforming meshes for a variety of
+geophysical models with increasing complexity.
\begin{figure}[htbp]
\noindent \begin{centering}
-\includegraphics[width=.6\textwidth]{figures/mount-cubit.jpg}
+\includegraphics[width=0.6\textwidth]{figures/mount-cubit}
\par\end{centering}
-\caption{Example of the graphical user interface of CUBIT. The hexahedral mesh shown in the main display consists of a hexahedral discretization of a single volume with topography.}
+\caption{Example of the graphical user interface of CUBIT. The hexahedral mesh
+shown in the main display consists of a hexahedral discretization
+of a single volume with topography.}
-\label{fig:mount.cubit}
+
+\label{fig:mount.cubit}
\end{figure}
-The basic steps in creating a load-balanced, partitioned mesh with CUBIT are:
+
+The basic steps in creating a load-balanced, partitioned mesh with
+CUBIT are:
\begin{description}
-\item [1.] setting up a hexahedral mesh with CUBIT,
-\item [2.] exporting the CUBIT mesh into a SPECFEM3D Cartesian file format and
-\item [3.] partitioning the SPECFEM3D Cartesian mesh files for a chosen number of cores.
+\item [{1.}] setting up a hexahedral mesh with CUBIT,
+\item [{2.}] exporting the CUBIT mesh into a SPECFEM3D Cartesian file format
+and
+\item [{3.}] partitioning the SPECFEM3D Cartesian mesh files for a chosen
+number of cores.
\end{description}
+Examples are provided in the SPECFEM3D Cartesian package in the subdirectory
+\texttt{examples/}. We strongly encourage you to contribute your own
+example to this package by contacting the CIG Computational Seismology
+Mailing List \urlwithparentheses{cig-seismo at geodynamics.org}.
-Examples are provided in the SPECFEM3D Cartesian package in the subdirectory \texttt{examples/}. We strongly encourage you to contribute your own example to this package by contacting the CIG Computational Seismology Mailing List \urlwithparentheses{cig-seismo at geodynamics.org}.
-
\subsection{Creating the Mesh with CUBIT}
-For the installation and handling of the CUBIT meshing tool suite, please refer to the CUBIT user manual and documentation.
-In order to give you a basic understanding of how to use CUBIT for our purposes, examples are provided in the SPECFEM3D Cartesian package in the subdirectory \texttt{examples/}:
+For the installation and handling of the CUBIT meshing tool suite,
+please refer to the CUBIT user manual and documentation. In order
+to give you a basic understanding of how to use CUBIT for our purposes,
+examples are provided in the SPECFEM3D Cartesian package in the subdirectory
+\texttt{examples/}:
\begin{description}
-\item [{\texttt{homogeneous\_halfspace}}] Creates a single block model and assigns elastic material parameters.
-\item [{\texttt{layered\_halfspace}}] Combines two different, elastic material volumes and creates a refinement layer between the two. This example can be compared for validation against the solutions provided in subdirectory ~\\
-\texttt{VALIDATION\_3D\_SEM\_SIMPLER\_LAYER\_SOURCE\_DEPTH/}.
-\item [{\texttt{waterlayered\_halfspace}}] Combines an acoustic and elastic material volume as in a schematic marine survey example.
-\item [{\texttt{tomographic\_model}}] Creates a single block model whose material properties will have to be read in from a tomographic model file during the databases creation by \texttt{xgenerate\_databases}.
+\item [{\texttt{homogeneous\_halfspace}}] Creates a single block model
+and assigns elastic material parameters.
+\item [{\texttt{layered\_halfspace}}] Combines two different, elastic material
+volumes and creates a refinement layer between the two. This example
+can be compared for validation against the solutions provided in subdirectory
+~\\
+ \texttt{VALIDATION\_3D\_SEM\_SIMPLER\_LAYER\_SOURCE\_DEPTH/}.
+\item [{\texttt{waterlayered\_halfspace}}] Combines an acoustic and elastic
+material volume as in a schematic marine survey example.
+\item [{\texttt{tomographic\_model}}] Creates a single block model whose
+material properties will have to be read in from a tomographic model
+file during the databases creation by \texttt{xgenerate\_databases}.
\end{description}
-
\begin{figure}[htbp]
\noindent \begin{centering}
-\includegraphics[width=.45\textwidth]{figures/example-homogeneous.jpg}
-\includegraphics[width=.45\textwidth]{figures/example-2layers.jpg} \\
-\includegraphics[width=.45\textwidth]{figures/example-water.jpg}
-\includegraphics[width=.45\textwidth]{figures/example-tomo.jpg}
+\includegraphics[width=0.45\textwidth]{figures/example-homogeneous}
+\includegraphics[width=0.45\textwidth]{figures/example-2layers} \\
+ \includegraphics[width=0.45\textwidth]{figures/example-water} \includegraphics[width=0.45\textwidth]{figures/example-tomo}
\par\end{centering}
-\caption{Screenshots of the CUBIT examples provided in subdirectory \texttt{examples/}: homogeneous halfspace (top-left), layered halfspace (top-right), water layered halfspace (bottom-left) and tomographic model (bottom-right).}
+\caption{Screenshots of the CUBIT examples provided in subdirectory \texttt{examples/}:
+homogeneous halfspace (top-left), layered halfspace (top-right), water
+layered halfspace (bottom-left) and tomographic model (bottom-right).}
-\label{fig:examples.cubit}
+
+\label{fig:examples.cubit}
\end{figure}
-In each example subdirectory you will find a \texttt{README} file, which explains in a step-by-step tutorial the workflow for the example.
-Please feel free to contribute your own example to this package by contacting the CIG Computational Seismology Mailing List \urlwithparentheses{cig-seismo at geodynamics.org}.
+In each example subdirectory you will find a \texttt{README} file,
+which explains in a step-by-step tutorial the workflow for the example.
+Please feel free to contribute your own example to this package by
+contacting the CIG Computational Seismology Mailing List \urlwithparentheses{cig-seismo at geodynamics.org}.
\subsection{Exporting the Mesh with \texttt{cubit2specfem3d.py} }
+
\label{subsec:Exporting-the-Mesh}
-Once the geometric model volumes in CUBIT are meshed, you prepare the model for exportation with the definition of material blocks and boundary surfaces. Thus, prior to exporting the mesh, you need to define blocks specifying the materials and absorbing boundaries in CUBIT.
-This process could be done automatically using the script \texttt{boundary\_definition.py} if the mesh meets some conditions or manually, following the block convention:
-
+Once the geometric model volumes in CUBIT are meshed, you prepare
+the model for exportation with the definition of material blocks and
+boundary surfaces. Thus, prior to exporting the mesh, you need to
+define blocks specifying the materials and absorbing boundaries in
+CUBIT. This process could be done automatically using the script \texttt{boundary\_definition.py}
+if the mesh meets some conditions or manually, following the block
+convention:
\begin{description}
-\item [material\_name] Each material should have a specific block defined by a unique name. The name convention of the material is to start with either 'elastic' or 'acoustic'. It must be then followed by a unique identifier, e.g. 'elastic 1', 'elastic 2', etc.
-The additional attributes to the block define the material description.
+\item [{material\_name}] Each material should have a specific block defined
+by a unique name. The name convention of the material is to start
+with either 'elastic' or 'acoustic'. It must be then followed by a
+unique identifier, e.g. 'elastic 1', 'elastic 2', etc. The additional
+attributes to the block define the material description.
-For an elastic material:
-\begin{description}
-\item [material\_id] An integer value which is unique for this material.
-\item [Vp] P-wave speed of the material (given in m/s).
-\item [Vs] S-wave speed of the material (given in m/s).
-\item [rho] density of the material (given in kg/m$^3$).
-\item [Q] quality factor to use in case of a simulation with attenuation turned on. It should be between 1 and 9000. In case no attenuation information is available, it can be set to zero. Please note that your Vp- and Vs-speeds are given for a reference frequency. To change this reference frequency, you change the value of
-\texttt{ATTENUATION\_f0\_REFERENCE} in the main constants file \texttt{constants.h} found in subdirectory \texttt{src/shared/}.
-\item [anisotropic\_flag] Flag describing the anisotropic model to use in case an anisotropic simulation should be conducted. See the file \texttt{model\_aniso.f90} in subdirectory \texttt{src/generate\_databases/} for an implementation of the anisotropic models. In case no anisotropy is available, it can be set to zero.
-\end{description}
-Note that this material block has to be defined using all the volumes which belong to this elastic material. For volumes belonging to another, different material, you will need to define a new material block.
-For an acoustic material:
+For an elastic material:
\begin{description}
-\item [material\_id] An integer value which is unique for this material.
-\item [Vp] P-wave speed of the material (given in m/s).
-\item [0] S-wave speed of the material is ignored.
-\item [rho] density of the material (given in kg/m$^3$).
+\item [{material\_id}] An integer value which is unique for this material.
+\item [{Vp}] P-wave speed of the material (given in m/s).
+\item [{Vs}] S-wave speed of the material (given in m/s).
+\item [{rho}] density of the material (given in kg/m$^{3}$).
+\item [{Q}] quality factor to use in case of a simulation with attenuation
+turned on. It should be between 1 and 9000. In case no attenuation
+information is available, it can be set to zero. Please note that
+your Vp- and Vs-speeds are given for a reference frequency. To change
+this reference frequency, you change the value of \texttt{ATTENUATION\_f0\_REFERENCE}
+in the main constants file \texttt{constants.h} found in subdirectory
+\texttt{src/shared/}.
+\item [{anisotropic\_flag}] Flag describing the anisotropic model to use
+in case an anisotropic simulation should be conducted. See the file
+\texttt{model\_aniso.f90} in subdirectory \texttt{src/generate\_databases/}
+for an implementation of the anisotropic models. In case no anisotropy
+is available, it can be set to zero.
\end{description}
+Note that this material block has to be defined using all the volumes
+which belong to this elastic material. For volumes belonging to another,
+different material, you will need to define a new material block.
-\item [face\_topo] Block definition for the surface which defines the free surface (which can have topography). The name of this block must be 'face\_topo', the block has to be defined using all the surfaces which constitute the complete free surface of the model.
-\item [face\_abs\_xmin] Block definition for the faces on the absorbing boundaries, one block for each surface with x=Xmin.
-\item [face\_abs\_xmax] Block definition for the faces on the absorbing boundaries, one block for each surface with x=Xmax.
-\item [face\_abs\_ymin] Block definition for the faces on the absorbing boundaries, one block for each surface with y=Ymin.
-\item [face\_abs\_ymax] Block definition for the faces on the absorbing boundaries, one block for each surface with y=Ymax.
-\item [face\_abs\_bottom] Block definition for the faces on the absorbing boundaries, one block for each surface with z=bottom.
+For an acoustic material:
+\begin{description}
+\item [{material\_id}] An integer value which is unique for this material.
+\item [{Vp}] P-wave speed of the material (given in m/s).
+\item [{0}] S-wave speed of the material is ignored.
+\item [{rho}] density of the material (given in kg/m$^{3}$).
\end{description}
-
-
+\item [{face\_topo}] Block definition for the surface which defines the
+free surface (which can have topography). The name of this block must
+be 'face\_topo', the block has to be defined using all the surfaces
+which constitute the complete free surface of the model.
+\item [{face\_abs\_xmin}] Block definition for the faces on the absorbing
+boundaries, one block for each surface with x=Xmin.
+\item [{face\_abs\_xmax}] Block definition for the faces on the absorbing
+boundaries, one block for each surface with x=Xmax.
+\item [{face\_abs\_ymin}] Block definition for the faces on the absorbing
+boundaries, one block for each surface with y=Ymin.
+\item [{face\_abs\_ymax}] Block definition for the faces on the absorbing
+boundaries, one block for each surface with y=Ymax.
+\item [{face\_abs\_bottom}] Block definition for the faces on the absorbing
+boundaries, one block for each surface with z=bottom.
+\end{description}
\begin{figure}[htbp]
\noindent \begin{centering}
-\includegraphics[width=.45\textwidth]{figures/mount-surface.jpg}
-\includegraphics[width=.45\textwidth]{figures/mount-abs.jpg}
+\includegraphics[width=0.45\textwidth]{figures/mount-surface} \includegraphics[width=0.45\textwidth]{figures/mount-abs}
\par\end{centering}
-\caption{Example of the block definitions for the free surface 'face\_topo' (left) and the absorbing boundaries, defined in a single block 'face\_abs\_xmin' (right) in CUBIT.}
+\caption{Example of the block definitions for the free surface 'face\_topo'
+(left) and the absorbing boundaries, defined in a single block 'face\_abs\_xmin'
+(right) in CUBIT.}
-\label{fig:mount.abs}
+
+\label{fig:mount.abs}
\end{figure}
-Optionally, instead of specifying for each surface at the boundaries a single block like mentioned above, you can also specify a single block for all boundary surfaces and name it as one of the absorbing blocks above, e.g. 'face\_abs\_xmin'.
-After the block definitions are done, you export the mesh using the script \texttt{cubit2specfem3d.py} provided in each of the example directories. If the export was successful, you should find the following files in a subdirectory \texttt{MESH/}:
+Optionally, instead of specifying for each surface at the boundaries
+a single block like mentioned above, you can also specify a single
+block for all boundary surfaces and name it as one of the absorbing
+blocks above, e.g. 'face\_abs\_xmin'.
+After the block definitions are done, you export the mesh using the
+script \texttt{cubit2specfem3d.py} provided in each of the example
+directories. If the export was successful, you should find the following
+files in a subdirectory \texttt{MESH/}:
\begin{description}
-\item [absorbing\_cpml\_file] {\bf (only needed in case of C-PML absorbing conditions)}
-Contains on the first line the total number of C-PML spectral elements in the mesh,
-and then on the following line the list of all these C-PML elements with two numbers per line:
-first the spectral element number, and then a C-PML flag indicating to which C-PML layer(s)
-that element belongs, according to the following convention:
+\item [{absorbing\_cpml\_file}] \textbf{(only needed in case of C-PML absorbing
+conditions)} Contains on the first line the total number of C-PML
+spectral elements in the mesh, and then on the following line the
+list of all these C-PML elements with two numbers per line: first
+the spectral element number, and then a C-PML flag indicating to which
+C-PML layer(s) that element belongs, according to the following convention:
\begin{itemize}
-\item Flag = 1 : element belongs to a X CPML layer only (either in Xmin or in Xmax),
-\item Flag = 2 : element belongs to a Y CPML layer only (either in Ymin or in Ymax),
-\item Flag = 3 : element belongs to a Z CPML layer only (either in Zmin or in Zmax),
-\item Flag = 4 : element belongs to a X CPML layer and also to a Y CPML layer,
-\item Flag = 5 : element belongs to a X CPML layer and also to a Z CPML layer,
-\item Flag = 6 : element belongs to a Y CPML layer and also to a Z CPML layer,
-\item Flag = 7 : element belongs to a X, to a Y and to a Z CPML layer, i.e., it belongs to a CPML corner.
+\item Flag = 1 : element belongs to a X CPML layer only (either in Xmin
+or in Xmax),
+\item Flag = 2 : element belongs to a Y CPML layer only (either in Ymin
+or in Ymax),
+\item Flag = 3 : element belongs to a Z CPML layer only (either in Zmin
+or in Zmax),
+\item Flag = 4 : element belongs to a X CPML layer and also to a Y CPML
+layer,
+\item Flag = 5 : element belongs to a X CPML layer and also to a Z CPML
+layer,
+\item Flag = 6 : element belongs to a Y CPML layer and also to a Z CPML
+layer,
+\item Flag = 7 : element belongs to a X, to a Y and to a Z CPML layer, i.e.,
+it belongs to a CPML corner.
\end{itemize}
-Note that it does not matter whether an element belongs to a Xmin or to a Xmax CPML, the flag
-is the same in both cases; the same is true for Ymin and Ymax, and also Zmin and Zmax.
+Note that it does not matter whether an element belongs to a Xmin
+or to a Xmax CPML, the flag is the same in both cases; the same is
+true for Ymin and Ymax, and also Zmin and Zmax.
-When you have an existing CUBIT (or similar) mesh stored in SPECFEM3D format,
-i.e., if you have existing "nodes\_coords\_file" and "mesh\_file" files but do not know how to assign
-CPML flags to them, we have created a small serial Fortran program that will do that automatically
-for you, i.e., which will create the "absorbing\_cpml\_file" for you.
-That program is
-utils/CPML/convert\_external\_layers\_of\_a\_given\_mesh\_to\_CPML\_layers.f90, and a small Makefile
-is provided in that directory (utils/CPML).
-IMPORTANT: it is your responsibility to make sure that in the input CUBIT (or similar) mesh
-that this code will read in SPECFEM3D format from files "nodes\_coords\_file" and "mesh\_file"
-you have created layers of elements that constitute a layer of constant thickness aligned
-with the coordinate grid axes (X, Y and/or Z), so that this code can assign CPML flags to them.
-This code does NOT check that (because it cannot, in any easy way).
-The mesh inside these CPML layers does not need to be structured nor regular, any non-structured
-mesh is fine as long as it has flat PML inner and outer faces, parallel to the axes, and thus
-of a constant thickness.
-The thickness can be different for the X, Y and Z sides. But for X it must not vary,
-for Y it must not vary, and for Z it must not vary.
-If you do not know the exact thickness,
-you can use a slightly LARGER value
-in this code (say 2\% to 5\% more) and this code will fix that and will adjust it; never use
-a SMALLER value otherwise this code will miss some CPML elements.
+When you have an existing CUBIT (or similar) mesh stored in SPECFEM3D
+format, i.e., if you have existing \textquotedbl{}nodes\_coords\_file\textquotedbl{}
+and \textquotedbl{}mesh\_file\textquotedbl{} files but do not know
+how to assign CPML flags to them, we have created a small serial Fortran
+program that will do that automatically for you, i.e., which will
+create the \textquotedbl{}absorbing\_cpml\_file\textquotedbl{} for
+you. That program is utils/CPML/convert\_external\_layers\_of\_a\_given\_mesh\_to\_CPML\_layers.f90,
+and a small Makefile is provided in that directory (utils/CPML).
-Note: in a future release we will remove the constraint of having CPML layers aligned with the
-coordinate axes; we will allow for meshes that are titled by any constant angle in the horizontal plane.
-However this is not implemented yet.
-Note: in the case of fluid-solid layers in contact, the fluid-solid interface currently needs to be flat and horizontal
-inside the CPML layer (i.e., bathymetry should become flat and horizontal when entering the CPML); this (small) constraint
-will probably remain in the code for a while because it makes fluid-solid matching inside the CPML much easier.
+IMPORTANT: it is your responsibility to make sure that in the input
+CUBIT (or similar) mesh that this code will read in SPECFEM3D format
+from files \textquotedbl{}nodes\_coords\_file\textquotedbl{} and \textquotedbl{}mesh\_file\textquotedbl{}
+you have created layers of elements that constitute a layer of constant
+thickness aligned with the coordinate grid axes (X, Y and/or Z), so
+that this code can assign CPML flags to them. This code does NOT check
+that (because it cannot, in any easy way). The mesh inside these CPML
+layers does not need to be structured nor regular, any non-structured
+mesh is fine as long as it has flat PML inner and outer faces, parallel
+to the axes, and thus of a constant thickness. The thickness can be
+different for the X, Y and Z sides. But for X it must not vary, for
+Y it must not vary, and for Z it must not vary. If you do not know
+the exact thickness, you can use a slightly LARGER value in this code
+(say 2\% to 5\% more) and this code will fix that and will adjust
+it; never use a SMALLER value otherwise this code will miss some CPML
+elements.
-\item [materials\_file] Contains the material associations for each element. The format is:
+
+Note: in a future release we will remove the constraint of having
+CPML layers aligned with the coordinate axes; we will allow for meshes
+that are titled by any constant angle in the horizontal plane. However
+this is not implemented yet.
+
+
+Note: in the case of fluid-solid layers in contact, the fluid-solid
+interface currently needs to be flat and horizontal inside the CPML
+layer (i.e., bathymetry should become flat and horizontal when entering
+the CPML); this (small) constraint will probably remain in the code
+for a while because it makes fluid-solid matching inside the CPML
+much easier.
+
+\item [{materials\_file}] Contains the material associations for each element.
+The format is:
+
\begin{lyxcode}
-\texttt{element\_ID} \texttt{material\_ID}
+element\_ID~material\_ID
\end{lyxcode}
-where \texttt{element\_ID} is the element identifier and \texttt{material\_ID} is a unique identifier,
-positive (for materials taken from this list of materials, i.e. for which each spectral
-element has constant material properties taken from this list) or negative (for tomographic models,
-i.e. for spectral element whose real velocities and density will be assigned later by calling an external function
-to define model variations, for instance in the case of tomographic models; in such a case, material properties
-can vary inside each spectral element, i.e. be different at each of its Gauss-Lobatto-Legendre grid points).
-\item [nummaterial\_velocity\_file] Defines the material properties.
+where \texttt{element\_ID} is the element identifier and \texttt{material\_ID}
+is a unique identifier, positive (for materials taken from this list
+of materials, i.e. for which each spectral element has constant material
+properties taken from this list) or negative (for tomographic models,
+i.e. for spectral element whose real velocities and density will be
+assigned later by calling an external function to define model variations,
+for instance in the case of tomographic models; in such a case, material
+properties can vary inside each spectral element, i.e. be different
+at each of its Gauss-Lobatto-Legendre grid points).
+
+\item [{nummaterial\_velocity\_file}] Defines the material properties.
+
\begin{itemize}
-\item For classical materials (i.e., spectral elements for which the velocity and density
-model will not be assigned by calling an external function to define for instance a tomographic model), the format is:
+\item For classical materials (i.e., spectral elements for which the velocity
+and density model will not be assigned by calling an external function
+to define for instance a tomographic model), the format is:
+
\begin{lyxcode}
-\texttt{domain\_ID} \texttt{material\_ID} \texttt{rho} \texttt{vp} \texttt{vs} \texttt{Qkappa} \texttt{Qmu} \texttt{anisotropy\_flag}
+domain\_ID~material\_ID~rho~vp~vs~Qkappa~Qmu~anisotropy\_flag
\end{lyxcode}
-where \textbf{\texttt{domain\_ID} is 1 for acoustic and 2 for elastic or viscoelastic materials,}
-\texttt{material\_ID} a unique identifier, \texttt{rho} the density in $kg \, m^{-3}$, \texttt{vp} the P-wave speed in $m \, s^{-1}$,
-\texttt{vs} the S-wave speed in $m \, s^{-1}$, \texttt{Q} the quality factor and \texttt{anisotropy\_flag} an identifier for anisotropic models.
-Note that the \texttt{Qkappa} value is ignored by the code unless \texttt{FULL\_ATTENUATION\_SOLID} is set.
-Note also that both \texttt{Qkappa} and \texttt{Qmu} are ignored by the code unless \texttt{ATTENUATION} is set.
-If you want a model with no \texttt{Qmu} attenuation, both set \texttt{ATTENUATION} to \texttt{.false.} in the \texttt{Par\_file} and set \texttt{Qmu} to 9999 here.
-If you want a model with no \texttt{Qkappa} attenuation, both set \texttt{FULL\_ATTENUATION\_SOLID} to \texttt{.false.} in the \texttt{Par\_file} and set \texttt{Qkappa} to 9999 here.
-%%magnoni
-\item For tomographic velocity models, please read Chapter \ref{cha:-Changing-the} and Section \ref{sec:Using-tomographic} `Using external tomographic Earth models' for further details.
-%
+
+where \texttt{\textbf{domain\_ID}}\textbf{ is 1 for acoustic and 2
+for elastic or viscoelastic materials,} \texttt{material\_ID} a unique
+identifier, \texttt{rho} the density in $kg\, m^{-3}$, \texttt{vp}
+the P-wave speed in $m\, s^{-1}$, \texttt{vs} the S-wave speed in
+$m\, s^{-1}$, \texttt{Q} the quality factor and \texttt{anisotropy\_flag}
+an identifier for anisotropic models. Note that the \texttt{Qkappa}
+value is ignored by the code unless \texttt{FULL\_ATTENUATION\_SOLID}
+is set. Note also that both \texttt{Qkappa} and \texttt{Qmu} are ignored
+by the code unless \texttt{ATTENUATION} is set. If you want a model
+with no \texttt{Qmu} attenuation, both set \texttt{ATTENUATION} to
+\texttt{.false.} in the \texttt{Par\_file} and set \texttt{Qmu} to
+9999 here. If you want a model with no \texttt{Qkappa} attenuation,
+both set \texttt{FULL\_ATTENUATION\_SOLID} to \texttt{.false.} in
+the \texttt{Par\_file} and set \texttt{Qkappa} to 9999 here. %%magnoni
+
+
+\item For tomographic velocity models, please read Chapter \ref{cha:-Changing-the}
+and Section \ref{sec:Using-tomographic} `Using external tomographic
+Earth models' for further details.
\end{itemize}
-
-\item [nodes\_coords\_file] Contains the point locations in Cartesian coordinates of the mesh element corners.
-\item [mesh\_file] Contains the mesh element connectivity. The hexahedral elements can have 8 or 27 nodes.\\
-See picture doc/mesh\_numbering\_convention/numbering\_convention\_27\_nodes.jpg to see\\
-in which (standard) order the points must be cited. In the case of 8 nodes, just include the first 8 points.
-\item [free\_or\_absorbing\_surface\_file\_zmax] Contains the free surface connectivity or \\
-the surface connectivity of the absorbing boundary surface at the top (Zmax), \\
-depending on whether the top surface is defined as free or absorbing in DATA/Par\_file. \\
-You should put both the surface of acoustic regions and of elastic regions in that file;
-that is, list all the element faces that constitute the surface of the model in that file.
-\item [absorbing\_surface\_file\_xmax] Contains the surface connectivity of the absorbing boundary surface at Xmax \\(also needed in the case of C-PML absorbing conditions,
-in order for the code to be able to impose Dirichlet conditions on their outer edge).
-\item [absorbing\_surface\_file\_xmin] Contains the surface connectivity of the absorbing boundary surface at Xmin \\(also needed in the case of C-PML absorbing conditions,
-in order for the code to be able to impose Dirichlet conditions on their outer edge).
-\item [absorbing\_surface\_file\_ymax] Contains the surface connectivity of the absorbing boundary surface at Ymax \\(also needed in the case of C-PML absorbing conditions,
-in order for the code to be able to impose Dirichlet conditions on their outer edge).
-\item [absorbing\_surface\_file\_ymin] Contains the surface connectivity of the absorbing boundary surface at Ymin \\(also needed in the case of C-PML absorbing conditions,
-in order for the code to be able to impose Dirichlet conditions on their outer edge).
-\item [absorbing\_surface\_file\_bottom] Contains the surface connectivity of the absorbing boundary surface at the bottom (Zmin) \\(also needed in the case of C-PML absorbing conditions,
-in order for the code to be able to impose Dirichlet conditions on their outer edge).
+\item [{nodes\_coords\_file}] Contains the point locations in Cartesian
+coordinates of the mesh element corners.
+\item [{mesh\_file}] Contains the mesh element connectivity. The hexahedral
+elements can have 8 or 27 nodes.\\
+ See picture doc/mesh\_numbering\_convention/numbering\_convention\_27\_nodes.jpg
+to see\\
+ in which (standard) order the points must be cited. In the case of
+8 nodes, just include the first 8 points.
+\item [{free\_or\_absorbing\_surface\_file\_zmax}] Contains the free surface
+connectivity or \\
+ the surface connectivity of the absorbing boundary surface at the
+top (Zmax), \\
+ depending on whether the top surface is defined as free or absorbing
+in DATA/Par\_file. \\
+ You should put both the surface of acoustic regions and of elastic
+regions in that file; that is, list all the element faces that constitute
+the surface of the model in that file.
+\item [{absorbing\_surface\_file\_xmax}] Contains the surface connectivity
+of the absorbing boundary surface at Xmax \\
+(also needed in the case of C-PML absorbing conditions, in order for
+the code to be able to impose Dirichlet conditions on their outer
+edge).
+\item [{absorbing\_surface\_file\_xmin}] Contains the surface connectivity
+of the absorbing boundary surface at Xmin \\
+(also needed in the case of C-PML absorbing conditions, in order for
+the code to be able to impose Dirichlet conditions on their outer
+edge).
+\item [{absorbing\_surface\_file\_ymax}] Contains the surface connectivity
+of the absorbing boundary surface at Ymax \\
+(also needed in the case of C-PML absorbing conditions, in order for
+the code to be able to impose Dirichlet conditions on their outer
+edge).
+\item [{absorbing\_surface\_file\_ymin}] Contains the surface connectivity
+of the absorbing boundary surface at Ymin \\
+(also needed in the case of C-PML absorbing conditions, in order for
+the code to be able to impose Dirichlet conditions on their outer
+edge).
+\item [{absorbing\_surface\_file\_bottom}] Contains the surface connectivity
+of the absorbing boundary surface at the bottom (Zmin) \\
+(also needed in the case of C-PML absorbing conditions, in order for
+the code to be able to impose Dirichlet conditions on their outer
+edge).
\end{description}
+These mesh files are needed as input files for the partitioner \texttt{xdecompose\_mesh}
+to load-balance the mesh. Please see the next section for further
+details.
-These mesh files are needed as input files for the partitioner \texttt{xdecompose\_mesh}
-to load-balance the mesh. Please see the next section for further details.
+\subsubsection*{Checking the mesh quality}
-\subsubsection*{Checking the mesh quality}
-The quality of the mesh may be inspected more precisely based upon the serial code
-in the file \texttt{check\_mesh\_quality\_}~\\
-\texttt{CUBIT\_Abaqus.f90} located in the directory \texttt{src/check\_mesh\_quality\_CUBIT\_Abaqus/}.
+The quality of the mesh may be inspected more precisely based upon
+the serial code in the file \texttt{check\_mesh\_quality\_}~\\
+ \texttt{CUBIT\_Abaqus.f90} located in the directory \texttt{src/check\_mesh\_quality\_CUBIT\_Abaqus/}.
Running this code is optional because no information needed by the
solver is generated.
-
-Prior to running and compiling this code, you have to export your mesh in CUBIT to an ABAQUS (.inp) format.
-For example, export mesh block IDs belonging to volumes in order to check the quality of the hexahedral elements.
-You also have to determine a number of parameters of your mesh, such as the number of nodes and number of elements
-and modify the header of the \texttt{check\_mesh\_quality\_CUBIT\_Abaqus.f90} source file. Then,
-in the main directory, type
+Prior to running and compiling this code, you have to export your
+mesh in CUBIT to an ABAQUS (.inp) format. For example, export mesh
+block IDs belonging to volumes in order to check the quality of the
+hexahedral elements. You also have to determine a number of parameters
+of your mesh, such as the number of nodes and number of elements and
+modify the header of the \texttt{check\_mesh\_quality\_CUBIT\_Abaqus.f90}
+source file. Then, in the main directory, type
\begin{lyxcode}
-{\small make xcheck\_mesh\_quality\_CUBIT\_Abaqus}{\small \par}
+{\small make~xcheck\_mesh\_quality\_CUBIT\_Abaqus}{\small \par}
\end{lyxcode}
-and use
+and use
\begin{lyxcode}
{\small ./bin/xcheck\_mesh\_quality\_CUBIT\_Abaqus}{\small \par}
\end{lyxcode}
-to generate an
-%not supported: AVS output file (\texttt{\small AVS\_meshquality.inp} in AVS UCD format) or
-OpenDX output file (\texttt{\small DX\_mesh\_quality.dx})
+to generate an %not supported: AVS output file (\texttt{\small AVS\_meshquality.inp} in AVS UCD format) or
+OpenDX output file (\texttt{\small DX\_mesh\_quality.dx}{\small )
that can be used to investigate mesh quality, e.g. skewness of elements,
-and a Gnuplot histogram (\texttt{\small mesh\_quality\_histogram.txt})
-that can be plotted with gnuplot (type
-`\texttt{\small gnuplot plot\_mesh\_quality\_histogram.gnu}'). The
-histogram is also printed to the screen.
-Analyze that skewness histogram of mesh elements to make sure no element has a skewness above approximately 0.75, otherwise the mesh is of poor quality (and if even a single element has a skewness value above 0.80, then you must definitely improve the mesh).
-If you want to start designing
+and a Gnuplot histogram (}\texttt{\small mesh\_quality\_histogram.txt}{\small )
+that can be plotted with gnuplot (type `}\texttt{\small gnuplot plot\_mesh\_quality\_histogram.gnu}{\small ').
+The histogram is also printed to the screen. Analyze that skewness
+histogram of mesh elements to make sure no element has a skewness
+above approximately 0.75, otherwise the mesh is of poor quality (and
+if even a single element has a skewness value above 0.80, then you
+must definitely improve the mesh). If you want to start designing
your own meshes, this tool is useful for viewing your creations. You
are striving for meshes with elements with `cube-like' dimensions,
-e.g., the mesh should contain no very elongated or skewed elements.
+e.g., the mesh should contain no very elongated or skewed elements.}{\small \par}
\subsection{Partitioning the Mesh with \texttt{xdecompose\_mesh}}
+The SPECFEM3D Cartesian software package performs large scale simulations
+in a parallel 'Single Process Multiple Data' way. The spectral-element
+mesh created with CUBIT needs to be distributed on the processors.
+This partitioning is executed once and for all prior to the execution
+of the solver so it is referred to as a static mapping.
-The SPECFEM3D Cartesian software package performs large scale simulations in a parallel 'Single Process Multiple Data' way.
-The spectral-element mesh created with CUBIT needs to be distributed on the processors. This partitioning is executed once and for all prior to
-the execution of the solver so it is referred to as a static mapping.
-
-An efficient partitioning is important because it leverages the overall running time of the application.
-It amounts to balance the number of elements in each slice while minimizing the communication costs
-resulting from the placement of adjacent elements on different processors. \texttt{decompose\_mesh} depends on the SCOTCH library \citep{PeRo96},
-which provides efficent static mapping, graph and mesh partitioning routines. SCOTCH is a free software package developed by
-Fran\c {c}ois Pellegrini et al. from LaBRI and INRIA in Bordeaux, France, downloadable from the web page \url{https://gforge.inria.fr/projects/scotch/}.
+An efficient partitioning is important because it leverages the overall
+running time of the application. It amounts to balance the number
+of elements in each slice while minimizing the communication costs
+resulting from the placement of adjacent elements on different processors.
+\texttt{decompose\_mesh} depends on the SCOTCH library \citep{PeRo96},
+which provides efficent static mapping, graph and mesh partitioning
+routines. SCOTCH is a free software package developed by François
+Pellegrini et al. from LaBRI and INRIA in Bordeaux, France, downloadable
+from the web page \url{https://gforge.inria.fr/projects/scotch/}.
\\
-In most cases, the configuration with \texttt{./configure~FC=ifort} should be sufficient.
-During the configuration process, the script tries to find existing SCOTCH installations.
-In case your system has no pre-existing SCOTCH installation,
-we provide the source code of SCOTCH, which is released open source under the French CeCILL-C version 1 license,
-in directory
-\texttt{src/decompose\_mesh/scotch\_5.1.12b}.
-This version gets bundled with the compilation of the SPECFEM3D Cartesian package if no libraries could have been found.
-If this automatic compilation of the SCOTCH libraries fails,
-please refer to file INSTALL.txt in that directory to see further details how to compile it on your system.
-In case you want to use a pre-existing installation, make sure you have correctly specified the path
-of the SCOTCH library when using the option \texttt{-{}-with-scotch-dir} with the \texttt{./configure} script.
-In the future you should be able to find more recent versions at \url{http://www.labri.fr/perso/pelegrin/scotch/scotch\_en.html} .
-\\
+In most cases, the configuration with \texttt{./configure~FC=ifort}
+should be sufficient. During the configuration process, the script
+tries to find existing SCOTCH installations. In case your system has
+no pre-existing SCOTCH installation, we provide the source code of
+SCOTCH, which is released open source under the French CeCILL-C version
+1 license, in directory \texttt{src/decompose\_mesh/scotch\_5.1.12b}.
+This version gets bundled with the compilation of the SPECFEM3D Cartesian
+package if no libraries could have been found. If this automatic compilation
+of the SCOTCH libraries fails, please refer to file INSTALL.txt in
+that directory to see further details how to compile it on your system.
+In case you want to use a pre-existing installation, make sure you
+have correctly specified the path of the SCOTCH library when using
+the option \texttt{-{}-with-scotch-dir} with the \texttt{./configure}
+script. In the future you should be able to find more recent versions
+at \url{http://www.labri.fr/perso/pelegrin/scotch/scotch_en.html}
+. \\
+
+
\begin{figure}[htbp]
\noindent \begin{centering}
-\includegraphics[width=.45\textwidth]{figures/mount-partitions.jpg}
-\includegraphics[width=.45\textwidth]{figures/mount-partitions2.jpg}
+\includegraphics[width=0.45\textwidth]{figures/mount-partitions}
+\includegraphics[width=0.45\textwidth]{figures/mount-partitions2}
\par\end{centering}
-\caption{Example of a mesh partitioning onto four cores. Each single core partition is colored differently. The executable \texttt{xdecompose\_mesh} can equally distribute the mesh on any arbitrary number of cores.
-Domain decomposition is explained in detail in \cite{MaKoBlLe08}, and excellent scaling up to 150,000 processor cores in shown for instance in
-\cite{CaKoLaTiMiLeSnTr08,KoLaMi08a,MaKoBlLe08,KoErGoMi10,Kom11}.}
+\caption{Example of a mesh partitioning onto four cores. Each single core partition
+is colored differently. The executable \texttt{xdecompose\_mesh} can
+equally distribute the mesh on any arbitrary number of cores. Domain
+decomposition is explained in detail in \citet{MaKoBlLe08}, and excellent
+scaling up to 150,000 processor cores in shown for instance in \citet{CaKoLaTiMiLeSnTr08,KoLaMi08a,MaKoBlLe08,KoErGoMi10,Kom11}.}
-\label{fig:mount.partitions}
+\label{fig:mount.partitions}
\end{figure}
-When you are ready to compile,
-in the main directory type
+
+When you are ready to compile, in the main directory type
\begin{lyxcode}
-{\small make xdecompose\_mesh}{\small \par}
+{\small make~xdecompose\_mesh}{\small \par}
\end{lyxcode}
-If all paths and flags have been set correctly, the executable \texttt{bin/xdecompose\_mesh} should be produced.
+If all paths and flags have been set correctly, the executable \texttt{bin/xdecompose\_mesh}
+should be produced.
-The partitioning is done in serial for now (in the next release we will provide a parallel version of that code),
-the synopsis is:
+The partitioning is done in serial for now (in the next release we
+will provide a parallel version of that code), the synopsis is:
\begin{lyxcode}
-./xdecompose\_mesh nparts input\_directory output\_directory
+./xdecompose\_mesh~nparts~input\_directory~output\_directory
\end{lyxcode}
-where
+where
\begin{itemize}
- \item \texttt{nparts} is the number of partitions, i.e., the number of cores for the parallel simulations,
- \item \texttt{input\_directory} is the directory which holds all the files generated by the Python script \texttt{cubit2specfem3d.py} explained in the previous Section~\ref{subsec:Exporting-the-Mesh}, e.g. \texttt{MESH/}, and
- \item \texttt{output\_directory} is the directory for the output of this partitioner which stores ACII-format files named like \texttt{proc******\_Database} for each partition. These files will be needed for creating the distributed databases, and have to reside in the directory \texttt{LOCAL\_PATH} specified in the main \texttt{Par\_file}, e.g. in directory \texttt{OUTPUT\_FILES/DATABASES\_MPI}. Please see Chapter~\ref{cha:Creating-Distributed-Databases} for further details.
+\item \texttt{nparts} is the number of partitions, i.e., the number of cores
+for the parallel simulations,
+\item \texttt{input\_directory} is the directory which holds all the files
+generated by the Python script \texttt{cubit2specfem3d.py} explained
+in the previous Section~\ref{subsec:Exporting-the-Mesh}, e.g. \texttt{MESH/},
+and
+\item \texttt{output\_directory} is the directory for the output of this
+partitioner which stores ACII-format files named like \texttt{proc{*}{*}{*}{*}{*}{*}\_Database}
+for each partition. These files will be needed for creating the distributed
+databases, and have to reside in the directory \texttt{LOCAL\_PATH}
+specified in the main \texttt{Par\_file}, e.g. in directory \texttt{OUTPUT\_FILES/DATABASES\_MPI}.
+Please see Chapter~\ref{cha:Creating-Distributed-Databases} for
+further details.
\end{itemize}
-Note that all the files generated by the Python script \texttt{cubit2specfem3d.py} must be placed in the \texttt{input\_directory} folder before running the program.
+Note that all the files generated by the Python script \texttt{cubit2specfem3d.py}
+must be placed in the \texttt{input\_directory} folder before running
+the program.
+
\section{\label{cha:Running-the-Mesher-Meshfem3D}Meshing with \texttt{xmeshfem3D}}
-In case you successfully ran the configuration script, you are also ready to compile the internal mesher.
-This is an alternative to CUBIT
-for the mesh generation of relatively simple geological models. The mesher is no longer
-dedicated to Southern California and more flexiblity is provided in this version of the package.
+In case you successfully ran the configuration script, you are also
+ready to compile the internal mesher. This is an alternative to CUBIT
+for the mesh generation of relatively simple geological models. The
+mesher is no longer dedicated to Southern California and more flexiblity
+is provided in this version of the package.
\begin{figure}[htbp]
\noindent \begin{centering}
-\includegraphics[scale=0.5]{figures/socal_map_mpi}
+\includegraphics[scale=0.5]{figures/socal_map_mpi}
\par\end{centering}
\caption{\label{fig:For-parallel-computing}For parallel computing purposes,
the model block is subdivided in $\nprocxi\times\nproceta$ slices
of elements. In this example we use $5^{2}=25$ processors. }
-
\end{figure}
-In the main directory, type
+
+In the main directory, type
\begin{lyxcode}
-{\small make xmeshfem3D}{\small \par}
+{\small make~xmeshfem3D}{\small \par}
\end{lyxcode}
-If all paths and flags
-have been set correctly, the mesher should now compile and produce
-the executable \texttt{bin/xmeshfem3D}. Please note that
-\texttt{xmeshfem3D} must be called directly from the \texttt{bin/} directory,
-as most of the binaries of the package.
+If all paths and flags have been set correctly, the mesher should
+now compile and produce the executable \texttt{bin/xmeshfem3D}. Please
+note that \texttt{xmeshfem3D} must be called directly from the \texttt{bin/}
+directory, as most of the binaries of the package.
Input for the mesh generation program is provided through the parameter
file \texttt{Mesh\_Par\_file}, which resides in the subdirectory \texttt{DATA/meshfem3D\_files/}.
Before running the mesher, a number of parameters need to be set in
-the \texttt{Mesh\_Par\_file}. This requires a basic understanding of how
-the SEM is implemented, and we encourage you to read \citet{KoVi98,KoTr99}
+the \texttt{Mesh\_Par\_file}. This requires a basic understanding
+of how the SEM is implemented, and we encourage you to read \citet{KoVi98,KoTr99}
and \citet{KoLiTrSuStSh04}.
The mesher and the solver use UTM coordinates internally, therefore
@@ -896,32 +1111,31 @@
(no minutes/seconds). These values are approximate; the mesher will
round them off to define a square mesh in UTM coordinates. When running
benchmarks on rectangular models, turn the UTM projection off by using
-the flag \texttt{\small SUPPRESS\_UTM\_PROJECTION}, in which case
-all `longitude' parameters simply refer to the $x$~axis, and all
-`latitude' parameters simply refer to the $y$~axis. To run the mesher
-for a global simulation, the following parameters need to be set in
-the \texttt{Mesh\_Par\_file}:
-
+the flag \texttt{\small SUPPRESS\_UTM\_PROJECTION}{\small , in which
+case all `longitude' parameters simply refer to the $x$~axis, and
+all `latitude' parameters simply refer to the $y$~axis. To run the
+mesher for a global simulation, the following parameters need to be
+set in the }\texttt{\small Mesh\_Par\_file}{\small :}{\small \par}
\begin{description}
\item [{\texttt{LATITUDE\_MIN}}] Minimum latitude in the block (negative
-for South).
-\item [{\texttt{LATITUDE\_MAX}}] Maximum latitude in the block.
+for South).
+\item [{\texttt{LATITUDE\_MAX}}] Maximum latitude in the block.
\item [{\texttt{LONGITUDE\_MIN}}] Minimum longitude in the block (negative
-for West).
-\item [{\texttt{LONGITUDE\_MAX}}] Maximum longitude in the block.
-\item [{\texttt{DEPTH\_BLOCK\_KM}}] Depth of bottom of mesh in kilometers.
+for West).
+\item [{\texttt{LONGITUDE\_MAX}}] Maximum longitude in the block.
+\item [{\texttt{DEPTH\_BLOCK\_KM}}] Depth of bottom of mesh in kilometers.
\item [{\texttt{\noun{UTM\_PROJECTION\_ZONE}}}] UTM projection zone in
which your model resides, only valid when \texttt{SUPPRESS\_UTM\_}~\\
-\texttt{PROJECTION} is \texttt{.false.}.
+ \texttt{PROJECTION} is \texttt{.false.}.
\item [{\texttt{SUPPRESS\_UTM\_PROJECTION}}] set to be \texttt{.false.}
-when your model range is specified in geographical coordinates,
-and needs to be \texttt{.true.} when your model is specified in
-Cartesian coordinates. \noun{UTM projection zone in which your simulation
-region resides.}
-\item [{\texttt{INTERFACES\_FILE }}] File which contains the description of the topography and
-of the interfaces between the different layers of the model, if any.
-The number of spectral elements in the vertical direction within each layer is also defined in this file.
-
+when your model range is specified in geographical coordinates, and
+needs to be \texttt{.true.} when your model is specified in Cartesian
+coordinates. \noun{UTM projection zone in which your simulation region
+resides.}
+\item [{\texttt{INTERFACES\_FILE }}] File which contains the description
+of the topography and of the interfaces between the different layers
+of the model, if any. The number of spectral elements in the vertical
+direction within each layer is also defined in this file.
\item [{$\nexxi$}] The number of spectral elements along one side of the
block. This number \textit{must} be 8~$\times$~a multiple of $\nprocxi$
defined below. Based upon benchmarks against semi-analytical discrete
@@ -931,36 +1145,44 @@
points per shortest wavelength, for any particular value of $\nexxi$
the simulation will be accurate to a shortest period determined by
\begin{equation}
-\mbox{shortest period (s)}=(288/\nexxi)\times2.\label{eq:shortest_period}\end{equation}
-The number of grid points in each orthogonal direction of the reference
+\mbox{shortest period (s)}=(288/\nexxi)\times2.\label{eq:shortest_period}
+\end{equation}
+ The number of grid points in each orthogonal direction of the reference
element, i.e., the number of Gauss-Lobatto-Legendre points, is determined
by \texttt{NGLLX} in the \texttt{constants.h} file. We generally use
$\mbox{\texttt{NGLLX\/}}=5$, for a total of $5^{3}=125$ points per
-elements. We suggest not to change this value.
+elements. We suggest not to change this value.
\item [{$\nexeta$}] The number of spectral elements along the other side
of the block. This number \textit{must} be 8~$\times$~a multiple
-of $\nproceta$ defined below.
+of $\nproceta$ defined below.
\item [{$\nprocxi$}] The number of processors or slices along one side
of the block (see Figure~\ref{fig:For-parallel-computing}); we must
have $\nexxi=8\times c\times\nprocxi$, where $c\ge1$ is a positive
-integer.
+integer.
\item [{$\nproceta$}] The number of processors or slices along the other
side of the block; we must have $\nexeta=8\times c\times\nproceta$,
-where $c\ge1$ is a positive integer.
-\item [{\texttt{USE\_REGULAR\_MESH}}] set to be \texttt{.true.} if you want a perfectly regular
-mesh or \texttt{.false.} if you want to add doubling horizontal layers to coarsen the mesh. In this case, you
-also need to provide additional information by setting up the next three parameters.
-\item [{\texttt{NDOUBLINGS}}] The number of horizontal doubling layers. Must be set to \texttt{1} or \texttt{2}
-if \texttt{USE\_REGULAR\_MESH} is set to \texttt{.true.}.
-\item [{\texttt{NZ\_DOUBLING\_1}}] The position of the first doubling layer (only interpreted
-if \texttt{USE\_REGULAR\_MESH} is set to \texttt{.true.}).
-\item [{\texttt{NZ\_DOUBLING\_2}}] The position of the second doubling layer (only interpreted
-if \texttt{USE\_REGULAR\_MESH} is set to \texttt{.true.} and if \texttt{NDOUBLINGS} is set to \texttt{2}).
-\item [{\texttt{CREATE\_ABAQUS\_FILES}}] Set this flag to \texttt{.true.} to save Abaqus FEA \urlwithparentheses{www.simulia.com}
-mesh files for subsequent viewing. Turning the flag on generates files in the \texttt{LOCAL\_PATH} directory.
-See Section~\ref{sec:Mesh-graphics} for a discussion of mesh viewing features.
-\item [{\texttt{CREATE\_DX\_FILES}}] Set this flag to \texttt{.true.} to save OpenDX \urlwithparentheses{www.opendx.org}
-mesh files for subsequent viewing.
+where $c\ge1$ is a positive integer.
+\item [{\texttt{USE\_REGULAR\_MESH}}] set to be \texttt{.true.} if you
+want a perfectly regular mesh or \texttt{.false.} if you want to add
+doubling horizontal layers to coarsen the mesh. In this case, you
+also need to provide additional information by setting up the next
+three parameters.
+\item [{\texttt{NDOUBLINGS}}] The number of horizontal doubling layers.
+Must be set to \texttt{1} or \texttt{2} if \texttt{USE\_REGULAR\_MESH}
+is set to \texttt{.true.}.
+\item [{\texttt{NZ\_DOUBLING\_1}}] The position of the first doubling layer
+(only interpreted if \texttt{USE\_REGULAR\_MESH} is set to \texttt{.true.}).
+\item [{\texttt{NZ\_DOUBLING\_2}}] The position of the second doubling
+layer (only interpreted if \texttt{USE\_REGULAR\_MESH} is set to \texttt{.true.}
+and if \texttt{NDOUBLINGS} is set to \texttt{2}).
+\item [{\texttt{CREATE\_ABAQUS\_FILES}}] Set this flag to \texttt{.true.}
+to save Abaqus FEA \urlwithparentheses{www.simulia.com} mesh files
+for subsequent viewing. Turning the flag on generates files in the
+\texttt{LOCAL\_PATH} directory. See Section~\ref{sec:Mesh-graphics}
+for a discussion of mesh viewing features.
+\item [{\texttt{CREATE\_DX\_FILES}}] Set this flag to \texttt{.true.} to
+save OpenDX \urlwithparentheses{www.opendx.org} mesh files for subsequent
+viewing.
\item [{\texttt{LOCAL\_PATH}}] Directory in which the partitions generated
by the mesher will be written. Generally one uses a directory on the
local disk of the compute nodes, although on some machines these partitions
@@ -970,49 +1192,68 @@
for each of the $\nprocxi\times\nproceta$ slices that constitutes
the mesh (see Figure~\ref{fig:For-parallel-computing}). After the
mesher finishes, you can log in to one of the compute nodes and view
-the contents of the \texttt{LOCAL\_PATH} directory to see the
-files generated by the mesher.
-These files will be needed for creating the distributed databases, and have to reside in the directory \texttt{LOCAL\_PATH} specified in the main \texttt{Par\_file}, e.g. in directory \texttt{OUTPUT\_FILES/DATABASES\_MPI}. Please see Chapter~\ref{cha:Creating-Distributed-Databases} for further details.
-\item [{\texttt{NMATERIALS}}] The number of different materials in your model. In the following lines, each material needs to be defined as :
+the contents of the \texttt{LOCAL\_PATH} directory to see the files
+generated by the mesher. These files will be needed for creating the
+distributed databases, and have to reside in the directory \texttt{LOCAL\_PATH}
+specified in the main \texttt{Par\_file}, e.g. in directory \texttt{OUTPUT\_FILES/DATABASES\_MPI}.
+Please see Chapter~\ref{cha:Creating-Distributed-Databases} for
+further details.
+\item [{\texttt{NMATERIALS}}] The number of different materials in your
+model. In the following lines, each material needs to be defined as
+:
+
\begin{lyxcode}
-\texttt{material\_ID} \texttt{rho} \texttt{vp} \texttt{vs} \texttt{Q} \texttt{anisotropy\_flag} \texttt{domain\_ID}
+material\_ID~rho~vp~vs~Q~anisotropy\_flag~domain\_ID
\end{lyxcode}
-where
+
+where
\begin{itemize}
- \item \texttt{Q} : quality factor (0=no attenuation)
- \item \texttt{anisotropy\_flag} : 0=no anisotropy / 1,2,.. check with implementation in \texttt{aniso\_model.f90}
- \item \texttt{domain\_id} : 1=acoustic / 2=elastic
+\item \texttt{Q} : quality factor (0=no attenuation)
+\item \texttt{anisotropy\_flag} : 0=no anisotropy / 1,2,.. check with implementation
+in \texttt{aniso\_model.f90}
+\item \texttt{domain\_id} : 1=acoustic / 2=elastic
\end{itemize}
-\item [{\texttt{NREGIONS}}] The number of regions in the mesh.
-In the following lines, because the mesh is regular or 'almost regular', each region is defined as :
+\item [{\texttt{NREGIONS}}] The number of regions in the mesh. In the following
+lines, because the mesh is regular or 'almost regular', each region
+is defined as :
+
\begin{lyxcode}
- \texttt{NEX\_XI\_BEGIN} \texttt{NEX\_XI\_END} \texttt{NEX\_ETA\_BEGIN} \texttt{NEX\_ETA\_END} \texttt{NZ\_BEGIN} \texttt{NZ\_END} \texttt{material\_ID}
+NEX\_XI\_BEGIN~NEX\_XI\_END~NEX\_ETA\_BEGIN~NEX\_ETA\_END~NZ\_BEGIN~NZ\_END~material\_ID
\end{lyxcode}
\end{description}
-
-The \texttt{INTERFACES\_FILE} parameter of \texttt{Mesh\_Par\_File} defines the file which contains the settings of the topography grid and of the interfaces grids. Topography is defined as a set of elevation values on a regular 2D grid. It is also possible to
-define interfaces between the layers of the model in the same way.
-The file needs to define several parameters:
+The \texttt{INTERFACES\_FILE} parameter of \texttt{Mesh\_Par\_File}
+defines the file which contains the settings of the topography grid
+and of the interfaces grids. Topography is defined as a set of elevation
+values on a regular 2D grid. It is also possible to define interfaces
+between the layers of the model in the same way. The file needs to
+define several parameters:
\begin{itemize}
-\item The number of interfaces, including the topography. This needs to be set at the first line. Then, from the bottom
-to the top of the model, you need to define the grids with:
-\item \texttt{SUPPRESS\_UTM\_PROJECTION} flag as described previously,
-\item number of points along $x$ and $y$ direction (NXI and NETA),
-\item minimal $x$ and $y$ coordinates (LONG\_MIN and LAT\_MIN),
-\item spacing between points along $x$ and $y$ (SPACING\_XI and SPACING\_ETA) and
-\item the name of the file which contains the elevation values (in $y$.$x$ increasing order).
+\item The number of interfaces, including the topography. This needs to
+be set at the first line. Then, from the bottom to the top of the
+model, you need to define the grids with:
+\item \texttt{SUPPRESS\_UTM\_PROJECTION} flag as described previously,
+\item number of points along $x$ and $y$ direction (NXI and NETA),
+\item minimal $x$ and $y$ coordinates (LONG\_MIN and LAT\_MIN),
+\item spacing between points along $x$ and $y$ (SPACING\_XI and SPACING\_ETA)
+and
+\item the name of the file which contains the elevation values (in $y$.$x$
+increasing order).
\end{itemize}
-At the end of this file, you simply need to set the number of spectral elements in the vertical direction for each layer. We provide a few models in the {\texttt{examples/}} directory. \\
+At the end of this file, you simply need to set the number of spectral
+elements in the vertical direction for each layer. We provide a few
+models in the {\texttt{examples/}} directory. \\
-Finally, depending on your system, you might need to provide a file that tells MPI what compute nodes
-to use for the simulations. The file must have a number of entries
-(one entry per line) at least equal to the number of processors needed
-for the run. A sample file is provided in the file \texttt{mymachines}.
-This file is not used by the mesher or solver, but is required by
-the \texttt{go\_mesher} and \texttt{go\_solver} default job submission
-scripts. See Chapter~\ref{cha:Scheduler} for information about running
-the code on a system with a scheduler, e.g., LSF.
+Finally, depending on your system, you might need to provide a file
+that tells MPI what compute nodes to use for the simulations. The
+file must have a number of entries (one entry per line) at least equal
+to the number of processors needed for the run. A sample file is provided
+in the file \texttt{mymachines}. This file is not used by the mesher
+or solver, but is required by the \texttt{go\_mesher} and \texttt{go\_solver}
+default job submission scripts. See Chapter~\ref{cha:Scheduler}
+for information about running the code on a system with a scheduler,
+e.g., LSF.
+
Now that you have set the appropriate parameters in the \texttt{Mesh\_Par\_file}
and have compiled the mesher, you are ready to launch it! This is
most easily accomplished based upon the \texttt{go\_mesher} script.
@@ -1025,210 +1266,275 @@
Mesher output is provided in the \texttt{OUTPUT\_FILES} directory
in \texttt{output\_mesher.txt}; this file provides lots of details
-about the mesh that was generated. Please note that the mesher suggests a time step \texttt{DT} to run
-the solver with. The mesher output file also contains a table about the quality of the mesh to indicate
-possible problems with the distortions of elements.
-Alternatively, output can be directed
-to the screen instead by uncommenting a line in \texttt{constants.h}:
+about the mesh that was generated. Please note that the mesher suggests
+a time step \texttt{DT} to run the solver with. The mesher output
+file also contains a table about the quality of the mesh to indicate
+possible problems with the distortions of elements. Alternatively,
+output can be directed to the screen instead by uncommenting a line
+in \texttt{constants.h}:
\begin{lyxcode}
!~uncomment~this~to~write~messages~to~the~screen~
!~integer,~parameter~::~IMAIN~=~ISTANDARD\_OUTPUT
\end{lyxcode}
+To control the quality of the mesh, check the standard output (either
+on the screen or in the \texttt{OUTPUT\_FILES} directory in \texttt{output\_mesher.txt})
+and analyze the skewness histogram of mesh elements to make sure no
+element has a skewness above approximately 0.75, otherwise the mesh
+is of poor quality (and if even a single element has a skewness value
+above 0.80, then you must definitely improve the mesh). To draw the
+skewness histogram on the screen, type \texttt{gnuplot plot\_mesh\_quality\_histogram.gnu}.
-To control the quality of the mesh, check the standard output (either on the screen or in the \texttt{OUTPUT\_FILES} directory in \texttt{output\_mesher.txt}) and analyze the skewness histogram of mesh elements to make sure no element has a skewness above approximately 0.75, otherwise the mesh is of poor quality (and if even a single element has a skewness value above 0.80, then you must definitely improve the mesh). To draw the skewness histogram on the screen, type \texttt{gnuplot plot\_mesh\_quality\_histogram.gnu}.
-\chapter{\label{cha:Creating-Distributed-Databases}Creating the Distributed Databases}
+\chapter{\label{cha:Creating-Distributed-Databases}Creating the Distributed
+Databases}
-After using \texttt{xmeshfem3D} or \texttt{xdecompose\_mesh}, the next step in the workflow is to compile
-\texttt{xgenerate\_}~\\
-\texttt{databases}. This program is going to create all the missing information needed by the SEM solver.
+After using \texttt{xmeshfem3D} or \texttt{xdecompose\_mesh}, the
+next step in the workflow is to compile \texttt{xgenerate\_}~\\
+ \texttt{databases}. This program is going to create all the missing
+information needed by the SEM solver.
\begin{figure}[htbp]
\noindent \begin{centering}
-\includegraphics[width=.6\textwidth]{figures/workflow.pdf}
+\includegraphics[width=0.6\textwidth]{figures/workflow}
\par\end{centering}
-\caption{Schematic workflow for a SPECFEM3D Cartesian simulation. The executable \texttt{xgenerate\_databases} creates the GLL mesh points and assigns specific model parameters.}
+\caption{Schematic workflow for a SPECFEM3D Cartesian simulation. The executable
+\texttt{xgenerate\_databases} creates the GLL mesh points and assigns
+specific model parameters.}
-\label{fig:workflow.databases}
+
+\label{fig:workflow.databases}
\end{figure}
-In the main directory, type
+In the main directory, type
\begin{lyxcode}
-{\small make xgenerate\_databases}{\small \par}
+{\small make~xgenerate\_databases}{\small \par}
\end{lyxcode}
-Input for the program is provided through
-the main parameter file \texttt{Par\_file}, which resides in the subdirectory \texttt{DATA}. Please note that
-\texttt{xgenerate\_databases} must be called directly from the \texttt{bin/} directory, as most of the binaries of the package.
+Input for the program is provided through the main parameter file
+\texttt{Par\_file}, which resides in the subdirectory \texttt{DATA}.
+Please note that \texttt{xgenerate\_databases} must be called directly
+from the \texttt{bin/} directory, as most of the binaries of the package.
\section{\label{cha:Main-Parameter}Main parameter file \texttt{Par\_file}}
-Before running \texttt{xgenerate\_databases}, a number of parameters need to be set in the main parameter \texttt{Par\_file}
-located in the subdirectory \texttt{DATA}:
-
+Before running \texttt{xgenerate\_databases}, a number of parameters
+need to be set in the main parameter \texttt{Par\_file} located in
+the subdirectory \texttt{DATA}:
\begin{description}
\item [{\texttt{SIMULATION\_TYPE}}] is set to 1 for forward simulations,
2 for adjoint simulations (see Section \ref{sec:Adjoint-simulation-finite})
-and 3 for kernel simulations (see Section \ref{sec:Finite-Frequency-Kernels}).
+and 3 for kernel simulations (see Section \ref{sec:Finite-Frequency-Kernels}).
\item [{\texttt{SAVE\_FORWARD}}] is only set to \texttt{.true.} for a forward
simulation with the last frame of the simulation saved, as part of
the finite-frequency kernel calculations (see Section \ref{sec:Finite-Frequency-Kernels}).
For a regular forward simulation, leave \texttt{SIMULATION\_TYPE}
-and \texttt{SAVE\_FORWARD} at their default values.
+and \texttt{SAVE\_FORWARD} at their default values.
\item [{\texttt{\noun{UTM\_PROJECTION\_ZONE}}}] UTM projection zone in
which your model resides, only valid when \texttt{SUPPRESS\_UTM\_}~\\
-\texttt{PROJECTION} is \texttt{.false.}.
+ \texttt{PROJECTION} is \texttt{.false.}.
\item [{\texttt{SUPPRESS\_UTM\_PROJECTION}}] set to be \texttt{.false.}
when your model range is specified in the geographical coordinates,
and needs to be \texttt{.true.} when your model is specified in a
cartesian coordinates. \noun{UTM projection zone in which your simulation
-region resides.}
-\item [{\texttt{NPROC}}] The number of MPI processors, each one is assigned one slice of the whole mesh.
-\item [{\texttt{NSTEP}}] The number of time steps of the simulation. This controls the
-length of the numerical simulation, i.e., twice the number of time steps
-requires twice as much CPU time. This feature is not used at the time
-of generating the distributed databases but is required for the solver, i.e., you may change this
-parameter after running \texttt{xgenerate\_databases}.
-\item [{\texttt{DT}}] The length of each time step in seconds.
-This feature is not used at the time of generating the distributed databases but is required for the solver.
-Please see also Section~\ref{sec:Choosing-the-Time-Step} for further details.
-\item [{\texttt{NGNOD}}] The number of nodes for 2D and 3D shape functions for hexahedra. We use either
-8-node mesh elements (bricks) or 27-node elements. If you use the internal mesher, the only option is 8-node bricks
-(27-node elements are not supported). \texttt{CUBIT} does not support HEX27 elements either (it can generate them,
-but they are flat, i.e. identical to HEX8). To generate HEX27 elements with curvature properly taken into account,
-you can use \texttt{Gmsh} \url{http://geuz.org/gmsh/}
-\item [{\texttt{MODEL}}] Must be set to one of the following:
-%
+region resides.}
+\item [{\texttt{NPROC}}] The number of MPI processors, each one is assigned
+one slice of the whole mesh.
+\item [{\texttt{NSTEP}}] The number of time steps of the simulation. This
+controls the length of the numerical simulation, i.e., twice the number
+of time steps requires twice as much CPU time. This feature is not
+used at the time of generating the distributed databases but is required
+for the solver, i.e., you may change this parameter after running
+\texttt{xgenerate\_databases}.
+\item [{\texttt{DT}}] The length of each time step in seconds. This feature
+is not used at the time of generating the distributed databases but
+is required for the solver. Please see also Section~\ref{sec:Choosing-the-Time-Step}
+for further details.
+\item [{\texttt{NGNOD}}] The number of nodes for 2D and 3D shape functions
+for hexahedra. We use either 8-node mesh elements (bricks) or 27-node
+elements. If you use the internal mesher, the only option is 8-node
+bricks (27-node elements are not supported). \texttt{CUBIT} does not
+support HEX27 elements either (it can generate them, but they are
+flat, i.e. identical to HEX8). To generate HEX27 elements with curvature
+properly taken into account, you can use \texttt{Gmsh} \url{http://geuz.org/gmsh/}
+\item [{\texttt{MODEL}}] Must be set to one of the following:
+
\begin{description}
-\item [{\textmd{Models defined by mesh parameters:}}]~
+\item [{\textmd{Models defined by mesh parameters:}}] ~
+
\begin{description}
-\item [{\texttt{default}}] Uses model parameters as defined by meshing procedures described
-in the previous Chapter~\ref{cha:Mesh-Generation}.
+\item [{\texttt{default}}] Uses model parameters as defined by meshing
+procedures described in the previous Chapter~\ref{cha:Mesh-Generation}.
\end{description}
\end{description}
-%
+\end{description}
+
\begin{description}
-\item [{\textmd{1D~models~with~real~structure:}}]~
+\item [{\textmd{1D~models~with~real~structure:}}] ~
+
\begin{description}
-\item [{\texttt{1D\_prem}}] Isotropic version of the spherically
-symmetric Preliminary Reference Earth Model (PREM) \citep{DzAn81}.
-\item [{\texttt{1D\_socal}}] A standard isotropic 1D model for Southern California.
-\item [{\texttt{1D\_cascadia}}] Isotropic 1D profile for the Cascadia region.
+\item [{\texttt{1D\_prem}}] Isotropic version of the spherically symmetric
+Preliminary Reference Earth Model (PREM) \citep{DzAn81}.
+
+\begin{description}
+\item [{\texttt{1D\_socal}}] A standard isotropic 1D model for Southern
+California.
+\item [{\texttt{1D\_cascadia}}] Isotropic 1D profile for the Cascadia region.
\end{description}
\end{description}
-%
+\end{description}
+
\begin{description}
-\item [{\textmd{Fully~3D~models:}}]~
+\item [{\textmd{Fully~3D~models:}}] ~
+
\begin{description}
-\item [{\texttt{aniso}}] For a user-specified fully anisotropic model. Parameters are set up in routines located in file \texttt{model\_aniso.f90} in directory \texttt{src/generate\_databases/}. See Chapter~\ref{cha:-Changing-the} for a discussion on how to specify your own 3D model.
-\item [{\texttt{external}}] For a user-specified isotropic model which uses externally defined model parameters. Uses external model definitions set up in routines located in file \texttt{model\_external\_values.f90} in directory \texttt{src/generate\_databases/}. Please modify these generic template routines to use your own model definitions.
-\item [{\texttt{gll}}] For a user-specified isotropic model which uses external binary files for $v_p$, $v_s$ and $\rho$. Binary files are given in the same format as when outputted by the \texttt{xgenerate\_databases} executable when using option \texttt{SAVE\_MESH\_FILES}. These binary files define the model parameters on all GLL points which can be used for iterative inversion procedures.
-\item [{\texttt{salton\_trough}}] A 3D $V_p$ model for Southern California. Users must provide the corresponding data file \texttt{regrid3\_vel\_p.bin} in directory \texttt{DATA/st\_3D\_block\_harvard/}.
-\item [{\texttt{tomo}}] For a user-specified 3D isotropic model which uses a tomographic model file \texttt{tomographic\_model.xyz}
-in directory \texttt{DATA}. See Section \ref{sec:Using-tomographic},
-for a discussion on how to specify your own 3D tomographic model.
+\item [{\texttt{aniso}}] For a user-specified fully anisotropic model.
+Parameters are set up in routines located in file \texttt{model\_aniso.f90}
+in directory \texttt{src/generate\_databases/}. See Chapter~\ref{cha:-Changing-the}
+for a discussion on how to specify your own 3D model.
+
+\begin{description}
+\item [{\texttt{external}}] For a user-specified isotropic model which
+uses externally defined model parameters. Uses external model definitions
+set up in routines located in file \texttt{model\_external\_values.f90}
+in directory \texttt{src/generate\_databases/}. Please modify these
+generic template routines to use your own model definitions.
+\item [{\texttt{gll}}] For a user-specified isotropic model which uses
+external binary files for $v_{p}$, $v_{s}$ and $\rho$. Binary files
+are given in the same format as when outputted by the \texttt{xgenerate\_databases}
+executable when using option \texttt{SAVE\_MESH\_FILES}. These binary
+files define the model parameters on all GLL points which can be used
+for iterative inversion procedures.
+\item [{\texttt{salton\_trough}}] A 3D $V_{p}$ model for Southern California.
+Users must provide the corresponding data file \texttt{regrid3\_vel\_p.bin}
+in directory \texttt{DATA/st\_3D\_block\_harvard/}.
+\item [{\texttt{tomo}}] For a user-specified 3D isotropic model which uses
+a tomographic model file \texttt{tomographic\_model.xyz} in directory
+\texttt{DATA}. See Section \ref{sec:Using-tomographic}, for a discussion
+on how to specify your own 3D tomographic model.
\end{description}
\end{description}
-%
-%
-\item [{\texttt{APPROXIMATE\_OCEAN\_LOAD}}] Set to \texttt{.true.} if the effect of the oceans
-on seismic wave propagation should be incorporated based upon the
-(rough) approximate treatment discussed in \citet{KoTr02b}. This feature
-is inexpensive from a numerical perspective, both in terms of memory
-requirements and CPU time. This approximation is accurate at periods
-of roughly 20~s and longer. At shorter periods the effect of water
-phases/reverberations is not taken into account, even when the flag is on.
-If you want to model the effect of a fluid-solid model at short periods,
-then set this flag to \texttt{.false.} and mesh the fluid layer explicitly in your mesher,
-so that it is computed accurately and without this approximation.
-\item [{\texttt{TOPOGRAPHY}}] This feature is only effective if \texttt{APPROXIMATE\_OCEAN\_LOAD} is set to \texttt{.true.}.
-Set to \texttt{.true.} if topography and
-bathymetry should be read in based upon the topography file specified in the main
-constants file \texttt{constants.h} found in subdirectory \texttt{src/shared/} to evaluate
-elevations. If not set, elevations will be read from the numerical mesh.
+\item [{\texttt{APPROXIMATE\_OCEAN\_LOAD}}] Set to \texttt{.true.} if the
+effect of the oceans on seismic wave propagation should be incorporated
+based upon the (rough) approximate treatment discussed in \citet{KoTr02b}.
+This feature is inexpensive from a numerical perspective, both in
+terms of memory requirements and CPU time. This approximation is accurate
+at periods of roughly 20~s and longer. At shorter periods the effect
+of water phases/reverberations is not taken into account, even when
+the flag is on. If you want to model the effect of a fluid-solid model
+at short periods, then set this flag to \texttt{.false.} and mesh
+the fluid layer explicitly in your mesher, so that it is computed
+accurately and without this approximation.
+\item [{\texttt{TOPOGRAPHY}}] This feature is only effective if \texttt{APPROXIMATE\_OCEAN\_LOAD}
+is set to \texttt{.true.}. Set to \texttt{.true.} if topography and
+bathymetry should be read in based upon the topography file specified
+in the main constants file \texttt{constants.h} found in subdirectory
+\texttt{src/shared/} to evaluate elevations. If not set, elevations
+will be read from the numerical mesh.
\item [{\texttt{ATTENUATION}}] Set to \texttt{.true.} if attenuation should
be incorporated. Turning this feature on increases the memory requirements
significantly (roughly by a factor of~1.5), and is numerically fairly
expensive. See \citet{KoTr99,KoTr02a} for a discussion on the implementation
-of attenuation based upon standard linear solids.
-Please note that the Vp- and Vs-velocities of your model are given for a reference frequency.
-To change this reference frequency, you change the value of
-\texttt{ATTENUATION\_f0\_REFERENCE} in the main constants file \texttt{constants.h} found in subdirectory \texttt{src/shared/}.
-\item [{\texttt{FULL\_ATTENUATION\_SOLID}}] Set to \texttt{.true.} to add $Q_\kappa$ attenuation to the simulations in addition to $Q_\mu$
-attenuation when the \texttt{ATTENUATION} flag above is on.
-Should be off in almost all cases for seismic wave propagation, since $Q_\kappa$ is almost always negligible in Earth models.
-However, this parameter can be useful for instance for ocean acoustics simulations, when $Q_\kappa$ is not negligible in the solid
-layer at the sea bottom.
-\item [{\texttt{ANISOTROPY}}] Set to \texttt{.true.} if you
-want to use an anisotropy model. Please see the file \texttt{model\_aniso.f90} in subdirectory \texttt{src/generate\_databases/} for the current implementation of anisotropic models.
-\item [{\texttt{TOMOGRAPHY\_PATH}}] Directory in which the tomography files are stored for using external
-tomographic Earth models (please read Chapter \ref{cha:-Changing-the} and Section \ref{sec:Using-tomographic}
-`Using external tomographic Earth models' for further details.).
+of attenuation based upon standard linear solids. Please note that
+the Vp- and Vs-velocities of your model are given for a reference
+frequency. To change this reference frequency, you change the value
+of \texttt{ATTENUATION\_f0\_REFERENCE} in the main constants file
+\texttt{constants.h} found in subdirectory \texttt{src/shared/}.
+\item [{\texttt{FULL\_ATTENUATION\_SOLID}}] Set to \texttt{.true.} to add
+$Q_{\kappa}$ attenuation to the simulations in addition to $Q_{\mu}$
+attenuation when the \texttt{ATTENUATION} flag above is on. Should
+be off in almost all cases for seismic wave propagation, since $Q_{\kappa}$
+is almost always negligible in Earth models. However, this parameter
+can be useful for instance for ocean acoustics simulations, when $Q_{\kappa}$
+is not negligible in the solid layer at the sea bottom.
+\item [{\texttt{ANISOTROPY}}] Set to \texttt{.true.} if you want to use
+an anisotropy model. Please see the file \texttt{model\_aniso.f90}
+in subdirectory \texttt{src/generate\_databases/} for the current
+implementation of anisotropic models.
+\item [{\texttt{TOMOGRAPHY\_PATH}}] Directory in which the tomography files
+are stored for using external tomographic Earth models (please read
+Chapter \ref{cha:-Changing-the} and Section \ref{sec:Using-tomographic}
+`Using external tomographic Earth models' for further details.).
\item [{\texttt{USE\_OLSEN\_ATTENUATION}}] Set to \texttt{.true.} if you
-want to use the attenuation model that scaled from the S-wave speed model
-using Olsen's empirical relation (see \citet{OlDaBr03}).
-\item [{\texttt{OLSEN\_ATTENUATION\_RATIO}}] Determines the Olsen's constant in Olsen's empirical relation (see \citet{OlDaBr03}).
-\item [{\texttt{PML\_CONDITIONS}}] Set to \texttt{.true.} to turn on C-PML boundary conditions for a regional simulation. Both fluids and elastic solids are supported.
-\item [{\texttt{PML\_INSTEAD\_OF\_FREE\_SURFACE}}] Set to \texttt{.true.} to turn on C-PML boundary conditions on the top surface
-instead of the usual free surface.
-\item [{\texttt{f0\_FOR\_PML}}] Determines the dominant frequency that will be used in the calculation of PML damping profiles; this should be
-set to the same (or similar) dominant frequency as that of the source that you will use in your simulation. If you plan to use a Dirac source,
-then use the dominant frequency of the source wavelet with which you plan to convolve your seismograms later on in post-processing.
-\item [{\texttt{STACEY\_ABSORBING\_CONDITIONS}}] Set to \texttt{.true.} to turn
-on Clayton-Enquist absorbing boundary conditions (see \citet{KoTr99}). In almost all cases it is much better to use CPML absorbing
-layers (see the options above) and leave this flag to \texttt{.false.}.
-\item [{\texttt{STACEY\_INSTEAD\_OF\_FREE\_SURFACE}}] Set to \texttt{.true.} to turn on
-absorbing boundary conditions on the top surface which by default constitutes a free surface of the model.
+want to use the attenuation model that scaled from the S-wave speed
+model using Olsen's empirical relation (see \citet{OlDaBr03}).
+\item [{\texttt{OLSEN\_ATTENUATION\_RATIO}}] Determines the Olsen's constant
+in Olsen's empirical relation (see \citet{OlDaBr03}).
+\item [{\texttt{PML\_CONDITIONS}}] Set to \texttt{.true.} to turn on C-PML
+boundary conditions for a regional simulation. Both fluids and elastic
+solids are supported.
+\item [{\texttt{PML\_INSTEAD\_OF\_FREE\_SURFACE}}] Set to \texttt{.true.}
+to turn on C-PML boundary conditions on the top surface instead of
+the usual free surface.
+\item [{\texttt{f0\_FOR\_PML}}] Determines the dominant frequency that
+will be used in the calculation of PML damping profiles; this should
+be set to the same (or similar) dominant frequency as that of the
+source that you will use in your simulation. If you plan to use a
+Dirac source, then use the dominant frequency of the source wavelet
+with which you plan to convolve your seismograms later on in post-processing.
+\item [{\texttt{STACEY\_ABSORBING\_CONDITIONS}}] Set to \texttt{.true.}
+to turn on Clayton-Enquist absorbing boundary conditions (see \citet{KoTr99}).
+In almost all cases it is much better to use CPML absorbing layers
+(see the options above) and leave this flag to \texttt{.false.}.
+\item [{\texttt{STACEY\_INSTEAD\_OF\_FREE\_SURFACE}}] Set to \texttt{.true.}
+to turn on absorbing boundary conditions on the top surface which
+by default constitutes a free surface of the model.
\item [{\texttt{CREATE\_SHAKEMAP}}] Set this flag to \texttt{.true.} to
-create a ShakeMap\textregistered, i.e., a peak ground velocity map
-of the maximum absolute value of the two horizontal components of the velocity vector.
+create a ShakeMap\textregistered{}, i.e., a peak ground velocity map
+of the maximum absolute value of the two horizontal components of
+the velocity vector.
\item [{\texttt{MOVIE\_SURFACE}}] Set to \texttt{.false.}, unless you want
to create a movie of seismic wave propagation on the Earth's surface.
Turning this option on generates large output files. See Section~\ref{sec:Movies}
-for a discussion on the generation of movies. This feature is only relevant for the solver.
-\item [{\texttt{MOVIE\_TYPE}}] Set this flag to 1 to show the top
- surface (tomography + oceans) only, to 2 to show all external faces
- of the mesh (i.e. topography + vertical edges + bottom) in shakemaps and surface movies.
+for a discussion on the generation of movies. This feature is only
+relevant for the solver.
+\item [{\texttt{MOVIE\_TYPE}}] Set this flag to 1 to show the top surface
+(tomography + oceans) only, to 2 to show all external faces of the
+mesh (i.e. topography + vertical edges + bottom) in shakemaps and
+surface movies.
\item [{\texttt{MOVIE\_VOLUME}}] Set to \texttt{.false.}, unless you want
to create a movie of seismic wave propagation in the Earth's interior.
Turning this option on generates huge output files. See Section~\ref{sec:Movies}
-for a discussion on the generation of movies. This feature is only relevant for the solver.
+for a discussion on the generation of movies. This feature is only
+relevant for the solver.
\item [{\texttt{SAVE\_DISPLACEMENT}}] Set this flag to \texttt{.true.}
if you want to save the displacement instead of velocity for the movie
-frames.
+frames.
\item [{\texttt{USE\_HIGHRES\_FOR\_MOVIES}}] Set this flag to \texttt{.true.}
if you want to save the values at all the NGLL grid points for the
-movie frames.
+movie frames.
\item [{\texttt{NTSTEP\_BETWEEN\_FRAMES}}] Determines the number of timesteps
between movie frames. Typically you want to save a snapshot every
100 timesteps. The smaller you make this number the more output will
be generated! See Section~\ref{sec:Movies} for a discussion on the
-generation of movies. This feature is only relevant for the solver.
-\item [{\texttt{HDUR\_MOVIE}}] Determines the half duration of the source time function for the movie simulations.
-When this parameter is set to be 0, a default half duration that corresponds to the accuracy of the simulation is provided.
-Otherwise, it adds this half duration to the half duration specified in the source file \texttt{CMTSOLUTION},
-thus simulates longer periods to make the movie images look smoother.
+generation of movies. This feature is only relevant for the solver.
+\item [{\texttt{HDUR\_MOVIE}}] Determines the half duration of the source
+time function for the movie simulations. When this parameter is set
+to be 0, a default half duration that corresponds to the accuracy
+of the simulation is provided. Otherwise, it adds this half duration
+to the half duration specified in the source file \texttt{CMTSOLUTION},
+thus simulates longer periods to make the movie images look smoother.
\item [{\texttt{SAVE\_MESH\_FILES}}] Set this flag to \texttt{.true.} to
-save ParaView \urlwithparentheses{www.paraview.org}
-mesh files for subsequent viewing. Turning the flag on generates large
-(distributed) files in the \texttt{LOCAL\_PATH} directory. See Section~\ref{sec:Mesh-graphics}
-for a discussion of mesh viewing features.
+save ParaView \urlwithparentheses{www.paraview.org} mesh files for
+subsequent viewing. Turning the flag on generates large (distributed)
+files in the \texttt{LOCAL\_PATH} directory. See Section~\ref{sec:Mesh-graphics}
+for a discussion of mesh viewing features.
\item [{\texttt{LOCAL\_PATH}}] Directory in which the distributed databases
-will be written. Generally one uses a directory on the
-local disk of the compute nodes, although on some machines these databases
-are written on a parallel (global) file system (see also the earlier
-discussion of the \texttt{LOCAL\_PATH\_IS\_ALSO\_GLOBAL} flag in Chapter~\ref{cha:Getting-Started}).
-\texttt{xgenerate\_databases} generates the necessary databases in parallel, one set
-for each of the \texttt{NPROC} slices that constitutes
-the mesh (see Figure~\ref{fig:mount.partitions} and Figure~\ref{fig:For-parallel-computing}). After
-the executable finishes, you can log in to one of the compute nodes and view
-the contents of the \texttt{LOCAL\_PATH} directory to see the (many)
-files generated by \texttt{xgenerate\_databases}.
-Please note that the \texttt{LOCAL\_PATH} directory should already contain the output files of
-the partitioner, i.e. from \texttt{xdecompose\_mesh} or \texttt{xmeshfem3D}.
+will be written. Generally one uses a directory on the local disk
+of the compute nodes, although on some machines these databases are
+written on a parallel (global) file system (see also the earlier discussion
+of the \texttt{LOCAL\_PATH\_IS\_ALSO\_GLOBAL} flag in Chapter~\ref{cha:Getting-Started}).
+\texttt{xgenerate\_databases} generates the necessary databases in
+parallel, one set for each of the \texttt{NPROC} slices that constitutes
+the mesh (see Figure~\ref{fig:mount.partitions} and Figure~\ref{fig:For-parallel-computing}).
+After the executable finishes, you can log in to one of the compute
+nodes and view the contents of the \texttt{LOCAL\_PATH} directory
+to see the (many) files generated by \texttt{xgenerate\_databases}.
+Please note that the \texttt{LOCAL\_PATH} directory should already
+contain the output files of the partitioner, i.e. from \texttt{xdecompose\_mesh}
+or \texttt{xmeshfem3D}.
\item [{\texttt{NTSTEP\_BETWEEN\_OUTPUT\_INFO}}] This parameter specifies
the interval at which basic information about a run is written to
the file system (\texttt{timestamp{*}} files in the \texttt{OUTPUT\_FILES}
@@ -1237,162 +1543,195 @@
to avoid writing output text files too often. This feature is not
used at the time of meshing. One can set this parameter to a larger
value than the number of time steps to avoid writing output during
-the run.
+the run.
\item [{\texttt{NTSTEP\_BETWEEN\_OUTPUT\_SEISMOS}}] This parameter specifies
the interval at which synthetic seismograms are written in the \texttt{LOCAL\_PATH}
directory. If a run crashes, you may still find usable (but shorter
than requested) seismograms in this directory. On a fast machine set
\texttt{NTSTEP\_BETWEEN\_OUTPUT\_SEISMOS} to a relatively high value
-to avoid writing to the seismograms too often. This feature is only relevant for the solver.
-\item [{\texttt{USE\_FORCE\_POINT\_SOURCE}}] Turn this flag on to use a (tilted) \texttt{FORCESOLUTION} force
-point source instead of a \texttt{CMTSOLUTION} moment-tensor source.
-When the force source does not fall exactly at a grid point, the solver interpolates the force between grid points
-using Lagrange interpolants. This can be useful e.g. for oil industry foothills simulations
-in which the source is a vertical force, normal force, tilted force, or an impact etc.
-Note that in the \texttt{FORCESOLUTION} file, you will need to edit
-the East, North and vertical components of an arbitrary (non-unitary)
-direction vector of the force vector; thus refer to
-Appendix~\ref{cha:Coordinates} for the orientation of the reference
-frame. This vector is made unitary internally in the solver and thus
-only its direction matters here; its norm is ignored and the norm of
-the force used is the factor force source times the source time
-function.
-\item [{\texttt{USE\_RICKER\_TIME\_FUNCTION}}] Turn this flag on to
-use a Ricker source time function instead of the source time functions set by default
-to represent a (tilted) \texttt{FORCESOLUTION} force point source or a \texttt{CMTSOLUTION} moment-tensor source.
-Originally, if a \texttt{CMTSOLUTION} moment-tensor source is used, a (pseudo) Heaviside step
-function with a very short half duration is defined for elastic cases to represent the permanent slip on the fault while
-in the acoustic case a Gaussian source time function with a similarly short half duration is defined to physically describe
-actions within the fluid. Otherwise, if a \texttt{FORCESOLUTION} force source is used, a (pseudo) Dirac delta source time
-function is defined by default. Any other source-time function may then be obtained by convolution.
+to avoid writing to the seismograms too often. This feature is only
+relevant for the solver.
+\item [{\texttt{USE\_FORCE\_POINT\_SOURCE}}] Turn this flag on to use a
+(tilted) \texttt{FORCESOLUTION} force point source instead of a \texttt{CMTSOLUTION}
+moment-tensor source. When the force source does not fall exactly
+at a grid point, the solver interpolates the force between grid points
+using Lagrange interpolants. This can be useful e.g. for oil industry
+foothills simulations in which the source is a vertical force, normal
+force, tilted force, or an impact etc. Note that in the \texttt{FORCESOLUTION}
+file, you will need to edit the East, North and vertical components
+of an arbitrary (non-unitary) direction vector of the force vector;
+thus refer to Appendix~\ref{cha:Coordinates} for the orientation
+of the reference frame. This vector is made unitary internally in
+the solver and thus only its direction matters here; its norm is ignored
+and the norm of the force used is the factor force source times the
+source time function.
+\item [{\texttt{USE\_RICKER\_TIME\_FUNCTION}}] Turn this flag on to use
+a Ricker source time function instead of the source time functions
+set by default to represent a (tilted) \texttt{FORCESOLUTION} force
+point source or a \texttt{CMTSOLUTION} moment-tensor source. Originally,
+if a \texttt{CMTSOLUTION} moment-tensor source is used, a (pseudo)
+Heaviside step function with a very short half duration is defined
+for elastic cases to represent the permanent slip on the fault while
+in the acoustic case a Gaussian source time function with a similarly
+short half duration is defined to physically describe actions within
+the fluid. Otherwise, if a \texttt{FORCESOLUTION} force source is
+used, a (pseudo) Dirac delta source time function is defined by default.
+Any other source-time function may then be obtained by convolution.
\item [{\texttt{PRINT\_SOURCE\_TIME\_FUNCTION}}] Turn this flag on to print
information about the source time function in the file \texttt{OUTPUT\_FILES/plot\_source\_time\_function.txt}.
-This feature is only relevant for the solver.
-\item [{\texttt{GPU\_MODE}}] Turn this flag on to use GPUs.
+This feature is only relevant for the solver.
+\item [{\texttt{GPU\_MODE}}] Turn this flag on to use GPUs.
\end{description}
+If you use PML, the mesh elements that belong to the PML layers can
+be acoustic or elastic, but not viscoelastic nor poroelastic. Then,
+when defining your model, you should define these absorbing elements
+as either acoustic or elastic. In you forget to do that, the code
+will fix the problem by automatically converting the viscoelastic
+or poroelastic PML elements to elastic. This means that strictly speaking
+the PML layer will not be perfectly matched any more, since the physical
+model will change from viscoelastic or poroelastic to elastic at the
+entrance of the PML, but in practice this is sufficient and produces
+only tiny / negligible spurious reflections.
-If you use PML, the mesh elements that belong to the PML layers can be acoustic or elastic, but not viscoelastic nor poroelastic.
-Then, when defining your model, you should define these absorbing elements as either acoustic or elastic.
-In you forget to do that, the code will fix the problem by automatically converting the viscoelastic or poroelastic PML
-elements to elastic. This means that strictly speaking the PML layer will not be perfectly matched any more, since the physical
-model will change from viscoelastic or poroelastic to elastic at the entrance of the PML, but in practice this is sufficient and
-produces only tiny / negligible spurious reflections.
-
If you use PML and an external tomographic velocity and density model,
-you should be careful because mathematically a PML cannot handle heterogeneities along the
-normal to the PML edge inside the PML layer. This comes from the fact that the damping profile
-that is defined assumes a constant velocity and density model along the normal
-direction.
+you should be careful because mathematically a PML cannot handle heterogeneities
+along the normal to the PML edge inside the PML layer. This comes
+from the fact that the damping profile that is defined assumes a constant
+velocity and density model along the normal direction.
-Thus, you need to modify your velocity and density model in order for it to be 1D inside
-the PML, as shown in Figure~\ref{fig:modify_external_velocity_model_to_use_PML}.
+Thus, you need to modify your velocity and density model in order
+for it to be 1D inside the PML, as shown in Figure~\ref{fig:modify_external_velocity_model_to_use_PML}.
This applies to the bottom layer as well; there you should make sure
that your model is 1D and thus constant along the vertical direction.
-To summarize, only use a 3D velocity and density model inside the physical region, and in
-all the PML layers extend it by continuity from its values along the
-inner PML edge.
+To summarize, only use a 3D velocity and density model inside the
+physical region, and in all the PML layers extend it by continuity
+from its values along the inner PML edge.
%%
\begin{figure}[htbp]
\noindent \begin{centering}
-\includegraphics[width=3in]{figures/how_to_use_PML_when_a_tomographic_velocity_model_is_used.png}
+\includegraphics[width=3in]{figures/how_to_use_PML_when_a_tomographic_velocity_model_is_used}
\par\end{centering}
-\caption{How to modify your external 3D velocity and density model in order to use PML.
-Such a modification is not needed when using Stacey absorbing boundary conditions (but such conditions
-are significantly less efficient).}
-\label{fig:modify_external_velocity_model_to_use_PML}
+
+\caption{How to modify your external 3D velocity and density model in order
+to use PML. Such a modification is not needed when using Stacey absorbing
+boundary conditions (but such conditions are significantly less efficient).}
+
+
+\label{fig:modify_external_velocity_model_to_use_PML}
\end{figure}
+
+
%%
+
+
\section{\label{sec:Choosing-the-Time-Step}Choosing the time step \texttt{DT}}
-The parameter \texttt{DT} sets the length of each time step in seconds. The value of this parameter is crucial for the stability of
-the spectral-element simulation. Your time step \texttt{DT} will depend on the minimum ratio between the distance $h$ of neighboring mesh points and the wave speeds $v$ defined in your model. The condition for the time step $\Delta t$ is:
-
+The parameter \texttt{DT} sets the length of each time step in seconds.
+The value of this parameter is crucial for the stability of the spectral-element
+simulation. Your time step \texttt{DT} will depend on the minimum
+ratio between the distance $h$ of neighboring mesh points and the
+wave speeds $v$ defined in your model. The condition for the time
+step $\Delta t$ is:
\begin{lyxcode}
-$\Delta t < C ~\mathrm{min}_\Omega (~ h / v ~)$
+$\Delta t<C~\mathrm{min}_{\Omega}(~h/v~)$
\end{lyxcode}
-where $C$ is the so-called Courant number and $\Omega$ denotes the model volume.
-The distance $h$ depends on the mesh element size and the number of
-GLL points \texttt{NGLL} specified in the main constants file \texttt{constants.h} located in the \texttt{src/shared/} subdirectory.
-The wave speed $v$ is determined based on your model's P- (or S-) wave speed values.
+where $C$ is the so-called Courant number and $\Omega$ denotes the
+model volume. The distance $h$ depends on the mesh element size and
+the number of GLL points \texttt{NGLL} specified in the main constants
+file \texttt{constants.h} located in the \texttt{src/shared/} subdirectory.
+The wave speed $v$ is determined based on your model's P- (or S-)
+wave speed values.
-The database generator \texttt{xgenerate\_databases}, as well as the internal mesher \texttt{xmeshfem3D}, are trying
-to evaluate the value of $\Delta t$ for empirically chosen Courant numbers $C \sim 0.3$.
-If you used the mesher \texttt{xmeshfem3D} to generate your mesh, you should set the value suggested in \texttt{OUTPUT\_FILES/output\_mesher.txt} file, which is created after the mesher completed. In case you used CUBIT to create the mesh, you might use an arbitrary value when running \texttt{xgenerate\_databases} and then use the value suggested in the ~\\
-\texttt{OUTPUT\_FILES/output\_mesher.txt} file after the database generation completed.
-Note that the implemented Newmark time scheme uses this time step globally, thus your simulations become more expensive for very small mesh elements in high wave-speed regions. Please be aware of this restriction when constructing your mesh in Chapter~\ref{cha:Mesh-Generation}.
+The database generator \texttt{xgenerate\_databases}, as well as the
+internal mesher \texttt{xmeshfem3D}, are trying to evaluate the value
+of $\Delta t$ for empirically chosen Courant numbers $C\sim0.3$.
+If you used the mesher \texttt{xmeshfem3D} to generate your mesh,
+you should set the value suggested in \texttt{OUTPUT\_FILES/output\_mesher.txt}
+file, which is created after the mesher completed. In case you used
+CUBIT to create the mesh, you might use an arbitrary value when running
+\texttt{xgenerate\_databases} and then use the value suggested in
+the ~\\
+ \texttt{OUTPUT\_FILES/output\_mesher.txt} file after the database
+generation completed. Note that the implemented Newmark time scheme
+uses this time step globally, thus your simulations become more expensive
+for very small mesh elements in high wave-speed regions. Please be
+aware of this restriction when constructing your mesh in Chapter~\ref{cha:Mesh-Generation}.
-
\chapter{\label{cha:Running-the-Solver}Running the Solver \texttt{xspecfem3D}}
-Now that you have successfully generated the databases, you are ready to compile
-the solver. In the main directory, type
+Now that you have successfully generated the databases, you are ready
+to compile the solver. In the main directory, type
\begin{lyxcode}
-{\small make xspecfem3D}{\small \par}
+{\small make~xspecfem3D}{\small \par}
\end{lyxcode}
Please note that \texttt{xspecfem3D} must be called directly from
the \texttt{bin/} directory, as most of the binaries of the package.
The solver needs three input files in the \texttt{DATA} directory
-to run:
+to run:
\begin{description}
-\item [{\texttt{Par\_file}}] the main parameter file which was discussed in detail in the previous
-Chapter~\ref{cha:Creating-Distributed-Databases},
-\item [{\texttt{CMTSOLUTION}} or {\texttt{FORCESOLUTION}}] the earthquake source parameter file or the force source parameter file, and
-\item [{\texttt{STATIONS}}] the stations file.
+\item [{\texttt{Par\_file}}] the main parameter file which was discussed
+in detail in the previous Chapter~\ref{cha:Creating-Distributed-Databases},
+\item [{\texttt{CMTSOLUTION}} or {\texttt{FORCESOLUTION}}] the earthquake
+source parameter file or the force source parameter file, and
+\item [{\texttt{STATIONS}}] the stations file.
\end{description}
-
-Most parameters in the \texttt{Par\_file}
-should be set prior to running the databases generation. Only the following parameters
-may be changed after running \texttt{xgenerate\_databases}:
-
+Most parameters in the \texttt{Par\_file} should be set prior to running
+the databases generation. Only the following parameters may be changed
+after running \texttt{xgenerate\_databases}:
\begin{itemize}
\item the simulation type control parameters: \texttt{SIMULATION\_TYPE}
-and \texttt{SAVE\_FORWARD}
-\item the time step parameters \texttt{NSTEP} and \texttt{DT}
-\item the absorbing boundary control parameter \texttt{PML\_CONDITIONS} on condition that the\\
- \texttt{PML\_INSTEAD\_OF\_FREE\_SURFACE} flag remains unmodified after running the databases generation.
+and \texttt{SAVE\_FORWARD}
+\item the time step parameters \texttt{NSTEP} and \texttt{DT}
+\item the absorbing boundary control parameter \texttt{PML\_CONDITIONS}
+on condition that the\\
+ \texttt{PML\_INSTEAD\_OF\_FREE\_SURFACE} flag remains unmodified
+after running the databases generation.
\item the movie control parameters \texttt{MOVIE\_SURFACE}, \texttt{MOVIE\_VOLUME},
-and \texttt{NTSTEPS\_BETWEEN\_FRAMES}
-\item the ShakeMap\textregistered option \texttt{CREATE\_SHAKEMAP}
+and \texttt{NTSTEPS\_BETWEEN\_FRAMES}
+\item the ShakeMap\textregistered{}option \texttt{CREATE\_SHAKEMAP}
\item the output information parameters \texttt{MOVIE\_TYPE}, \texttt{NTSTEP\_BETWEEN\_OUTPUT\_INFO}
and \texttt{NTSTEP\_BETWEEN\_OUTPUT\_}~\\
-\texttt{SEISMOS}
-\item the \texttt{PRINT\_SOURCE\_TIME\_FUNCTION} flags
+ \texttt{SEISMOS}
+\item the \texttt{PRINT\_SOURCE\_TIME\_FUNCTION} flags
\end{itemize}
Any other change to the \texttt{Par\_file} implies rerunning both
-the database generator \texttt{xgenerate\_databases} and the solver \texttt{xspecfem3D}.
+the database generator \texttt{xgenerate\_databases} and the solver
+\texttt{xspecfem3D}.
For any particular earthquake, the \texttt{CMTSOLUTION} file that
-represents the point source may be obtained directly from the Harvard Centroid-Moment Tensor (CMT) web page \urlwithparentheses{www.seismology.harvard.edu}.
+represents the point source may be obtained directly from the Harvard
+Centroid-Moment Tensor (CMT) web page \urlwithparentheses{www.seismology.harvard.edu}.
It looks like this:
-
\begin{lyxcode}
-{\small }%
\begin{figure}[H]
\noindent \begin{centering}
-{\small \includegraphics[width=1\textwidth]{figures/Hollywood_CMT} }
-\par\end{centering}{\small \par}
+{\small \includegraphics[width=1\textwidth]{figures/Hollywood_CMT}
+}
+\par\end{centering}
+
+
\caption{\label{fig:CMTSOLUTION-file}\texttt{CMTSOLUTION} file based on the
format from the Harvard CMT catalog. \textbf{M} is the moment tensor,
-$M_{0}${\small{} }is the seismic moment, and $M_{w}$ is the moment
+$M_{0}${\small {} }is the seismic moment, and $M_{w}$ is the moment
magnitude.}
+\end{figure}
-\end{figure}
-{\small \par}
+
+
\end{lyxcode}
The \texttt{CMTSOLUTION} file should be edited in the following way:
-
\begin{itemize}
\item Set the \texttt{time shift} parameter equal to $0.0$ (the solver
will not run otherwise.) The time shift parameter would simply apply
an overall time shift to the synthetics, something that can be done
-in the post-processing (see Section \ref{sec:Process-data-and-syn}).
+in the post-processing (see Section \ref{sec:Process-data-and-syn}).
\item For point-source simulations (see finite sources, page \pageref{To-simulate-a})
we recommend setting the source half-duration parameter \texttt{half
duration} equal to zero, which corresponds to simulating a step source-time
@@ -1410,11 +1749,13 @@
with the desired source time function and/or low-pass filtering. Use
the serial code \texttt{convolve\_source\_timefunction.f90} and the
script \texttt{convolve\_source\_timefunction.csh} for this purpose,
-or alternatively use signal-processing software packages such as SAC \urlwithparentheses{www.llnl.gov/sac}.
-Type
+or alternatively use signal-processing software packages such as SAC
+\urlwithparentheses{www.llnl.gov/sac}. Type
+
\begin{lyxcode}
-{\small make xconvolve\_source\_timefunction}{\small \par}
+{\small make~xconvolve\_source\_timefunction}{\small \par}
\end{lyxcode}
+
to compile the code and then set the parameter \texttt{hdur} in \texttt{convolve\_source\_timefunction.csh}
to the desired half-duration.
@@ -1427,33 +1768,46 @@
\begin{lyxcode}
$t_{\mathrm{abs}}=t_{\mathrm{pde}}+\texttt{time shift}+t_{\mathrm{synthetic}}$
\end{lyxcode}
+
where $t_{\mathrm{pde}}$ is the time given in the first line of the
\texttt{CMTSOLUTION}, \texttt{time shift} is the corresponding value
from the original \texttt{CMTSOLUTION} file and $t_{\mathrm{synthetic}}$
is the time in the first column of the output seismogram.
\end{itemize}
-%
\begin{figure}
\noindent \begin{centering}
-\includegraphics[width=2.5in]{figures/gauss_vs_triangle_mod.pdf}
+\includegraphics[width=2.5in]{figures/gauss_vs_triangle_mod}
\par\end{centering}
-\caption{Comparison of the shape of a triangle and the Gaussian function actually used.}
-\label{fig:gauss.vs.triangle}
+
+\caption{Comparison of the shape of a triangle and the Gaussian function actually
+used.}
+
+
+\label{fig:gauss.vs.triangle}
\end{figure}
-If you know the earthquake source in strike/dip/rake format rather than in \texttt{CMTSOLUTION} format,
-use the C code \texttt{SPECFEM3D\_GLOBE/utils/strike\_dip\_rake\_to\_CMTSOLUTION.c} to convert it.
-The conversion formulas are given for instance in \cite{AkRi80}.
-Note that the \cite{AkRi80} convention is slightly different from the Harvard \texttt{CMTSOLUTION} convention
-(the sign of some components is different). The C code outputs both.
+If you know the earthquake source in strike/dip/rake format rather
+than in \texttt{CMTSOLUTION} format, use the C code \texttt{SPECFEM3D\_GLOBE/utils/strike\_dip\_rake\_to\_CMTSOLUTION.c}
+to convert it. The conversion formulas are given for instance in \citet{AkRi80}.
+Note that the \citet{AkRi80} convention is slightly different from
+the Harvard \texttt{CMTSOLUTION} convention (the sign of some components
+is different). The C code outputs both.
+
Centroid latitude and longitude should be provided in geographical
coordinates. The code converts these coordinates to geocentric coordinates~\citep{DaTr98}.
Of course you may provide your own source representations by designing
your own \texttt{CMTSOLUTION} file. Just make sure that the resulting
file adheres to the Harvard CMT conventions (see Appendix~\ref{cha:Coordinates}).
-Note that the first line in the \texttt{CMTSOLUTION} file is the Preliminary Determination of Earthquakes (PDE) solution performed by the USGS NEIC, which is used as a seed for the Harvard CMT inversion. The PDE solution is based upon P waves and often gives the hypocenter of the earthquake, i.e., the rupture initiation point, whereas the CMT solution gives the `centroid location', which is the location with dominant moment release. The PDE solution is not used by our software package but must be present anyway in the first line of the file.
+Note that the first line in the \texttt{CMTSOLUTION} file is the Preliminary
+Determination of Earthquakes (PDE) solution performed by the USGS
+NEIC, which is used as a seed for the Harvard CMT inversion. The PDE
+solution is based upon P waves and often gives the hypocenter of the
+earthquake, i.e., the rupture initiation point, whereas the CMT solution
+gives the `centroid location', which is the location with dominant
+moment release. The PDE solution is not used by our software package
+but must be present anyway in the first line of the file.
\label{To-simulate-a}To simulate a kinematic rupture, i.e., a finite-source
event, represented in terms of $N_{\mathrm{sources}}$ point sources,
@@ -1479,42 +1833,42 @@
\vspace{1cm}
-\noindent The \texttt{FORCESOLUTION} file should be edited in the following way:
+\noindent The \texttt{FORCESOLUTION} file should be edited in the
+following way:
\begin{itemize}
\item Set the \texttt{time shift} parameter equal to $0.0$ (the solver
will not run otherwise.) The time shift parameter would simply apply
an overall time shift to the synthetics, something that can be done
-in the post-processing (see Section \ref{sec:Process-data-and-syn}).
-\item Set the \texttt{half duration} parameter of the Ricker source
- time function when {\texttt{USE\_RICKER\_TIME\_FUNCTION}} is turned
- on in the main parameter file {\texttt{Par\_file}}. In case that the
- solver uses a (pseudo) Dirac delta source time function to represent
- a force point source, a very short \texttt{half duration} parameter
- (hdur = 5 * DT) is automatically set by default.
-\item Set the latitude, longitude, depth of the source in geographical
- coordinates.
-\item Set the magnitude of the force source.
-\item Set the components of a (non-unitary) direction vector for the
- force source in the East/North/Vertical basis (see Appendix A for
- the orientation of the reference frame).
+in the post-processing (see Section \ref{sec:Process-data-and-syn}).
+\item Set the \texttt{half duration} parameter of the Ricker source time
+function when {\texttt{USE\_RICKER\_TIME\_FUNCTION}} is turned on
+in the main parameter file {\texttt{Par\_file}}. In case that the
+solver uses a (pseudo) Dirac delta source time function to represent
+a force point source, a very short \texttt{half duration} parameter
+(hdur = 5 {*} DT) is automatically set by default.
+\item Set the latitude, longitude, depth of the source in geographical coordinates.
+\item Set the magnitude of the force source.
+\item Set the components of a (non-unitary) direction vector for the force
+source in the East/North/Vertical basis (see Appendix A for the orientation
+of the reference frame).
\end{itemize}
+\noindent Where necessary, set a \texttt{FORCESOLUTION} file in the
+same way you configure a \texttt{CMTSOLUTION} file with $N_{\mathrm{sources}}$
+entries, one for each subevent (i.e., concatenate $N_{\mathrm{sources}}$
+\texttt{FORCESOLUTION} files to a single \texttt{FORCESOLUTION} file).
+At least one entry (not necessarily the first) must have a zero \texttt{time
+shift}, and all the other entries must have non-negative \texttt{time
+shift}. Each subevent can have its own half latitude, longitude, depth,
+\texttt{half duration} and force parameters.
-\noindent Where necessary, set a \texttt{FORCESOLUTION} file in the
-same way you configure a \texttt{CMTSOLUTION} file with
-$N_{\mathrm{sources}}$ entries, one for each subevent (i.e.,
-concatenate $N_{\mathrm{sources}}$ \texttt{FORCESOLUTION} files to a
-single \texttt{FORCESOLUTION} file). At least one entry (not
-necessarily the first) must have a zero \texttt{time shift}, and all the other
-entries must have non-negative \texttt{time shift}. Each subevent can have its
-own half latitude, longitude, depth, \texttt{half duration} and force parameters.
-
-{\small }%
\begin{figure}[H]
\noindent \begin{centering}
-{\small \includegraphics[width=5in]{figures/source_timing.pdf} }
-\par\end{centering}{\small \par}
+{\small \includegraphics[width=5in]{figures/source_timing} }
+\par\end{centering}
+
+
\caption{Example of timing for three sources. The center of the first source
triangle is defined to be time zero. Note that this is NOT in general
the hypocentral time, or the start time of the source (marked as tstart).
@@ -1523,46 +1877,48 @@
duration} would be hdur1, hdur2, hdur3 for the sources 1, 2, 3 respectively.}
-{\small \label{fig:source_timing} }
+{\small \label{fig:source_timing} }
\end{figure}
-{\small \par}
+
+
+
The solver can calculate seismograms at any number of stations for
basically the same numerical cost, so the user is encouraged to include
as many stations as conceivably useful in the \texttt{STATIONS} file,
which looks like this:
-{\small }%
\begin{figure}[H]
\noindent \begin{centering}
-{\small \includegraphics{figures/STATIONS_basin_explained} }
-\par\end{centering}{\small \par}
+{\small \includegraphics{figures/STATIONS_basin_explained} }
+\par\end{centering}
-\caption{Sample \texttt{STATIONS} file. Station latitude and longitude should
+
+
+\label{fig:Sample-STATIONS-file.}\caption{Sample \texttt{STATIONS} file. Station latitude and longitude should
be provided in geographical coordinates. The width of the station
label should be no more than 32 characters (see \texttt{MAX\_LENGTH\_STATION\_NAME}
in the \texttt{constants.h} file), and the network label should be
no more than 8 characters (see \texttt{MAX\_LENGTH\_NETWORK\_NAME}
in the \texttt{constants.h} file).}
-
\end{figure}
-{\small \par}
+
+
+
Each line represents one station in the following format:
-
\begin{lyxcode}
{\small Station~Network~Latitude~(degrees)~Longitude~(degrees)~Elevation~(m)~burial~(m)~}{\small \par}
\end{lyxcode}
-The solver \texttt{xspecfem3D} filters the list of stations in file \texttt{DATA/STATIONS}
-to exclude stations that are not located within the region given in
-the \texttt{Par\_file} (between \texttt{LATITUDE\_MIN} and \texttt{LATITUDE\_MAX}
-and between \texttt{LONGITUDE\_MIN} and \texttt{LONGITUDE\_MAX}).
-The filtered file is called \texttt{DATA/STATIONS\_FILTERED}.
+The solver \texttt{xspecfem3D} filters the list of stations in file
+\texttt{DATA/STATIONS} to exclude stations that are not located within
+the region given in the \texttt{Par\_file} (between \texttt{LATITUDE\_MIN}
+and \texttt{LATITUDE\_MAX} and between \texttt{LONGITUDE\_MIN} and
+\texttt{LONGITUDE\_MAX}). The filtered file is called \texttt{DATA/STATIONS\_FILTERED}.
Solver output is provided in the \texttt{OUTPUT\_FILES} directory
in the \texttt{output\_solver.txt} file. Output can be directed to
the screen instead by uncommenting a line in \texttt{constants.h}:
-
\begin{lyxcode}
!~uncomment~this~to~write~messages~to~the~screen~
@@ -1573,10 +1929,9 @@
need to be gathered at the end of the simulation.
While the solver is running, its progress may be tracked by monitoring
-the `\texttt{\small timestamp{*}}' files in the ~\\
-\texttt{\small OUTPUT\_FILES} directory.
-These tiny files look something like this:
-
+the `\texttt{\small timestamp{*}}{\small ' files in the ~}\\
+{\small{} }\texttt{\small OUTPUT\_FILES}{\small{} directory. These tiny
+files look something like this:}{\small \par}
\begin{lyxcode}
Time~step~\#~~~~~~~~~~10000~
@@ -1590,27 +1945,27 @@
Max~norm~displacement~vector~U~in~all~slices~(m)~=~~~~1.0789589E-02~
\end{lyxcode}
-The \texttt{\small timestamp{*}} files provide the \texttt{Mean elapsed
-time per time step in seconds}, which may be used to assess performance
-on various machines (assuming you are the only user on a node), as
-well as the \texttt{Max norm displacement vector U in all slices~(m)}.
-If something is wrong with the model, the mesh, or the source, you
-will see the code become unstable through exponentially growing values
-of the displacement and fluid potential with time, and ultimately
-the run will be terminated by the program. You can control the rate
-at which the timestamp files are written based upon the parameter
-\texttt{NTSTEP\_BETWEEN\_OUTPUT\_INFO} in the \texttt{Par\_file}.
+The \texttt{\small timestamp{*}}{\small{} files provide the }\texttt{\small Mean
+elapsed time per time step in seconds}{\small , which may be used
+to assess performance on various machines (assuming you are the only
+user on a node), as well as the }\texttt{\small Max norm displacement
+vector U in all slices~(m)}{\small . If something is wrong with the
+model, the mesh, or the source, you will see the code become unstable
+through exponentially growing values of the displacement and fluid
+potential with time, and ultimately the run will be terminated by
+the program. You can control the rate at which the timestamp files
+are written based upon the parameter }\texttt{\small NTSTEP\_BETWEEN\_OUTPUT\_INFO}{\small{}
+in the }\texttt{\small Par\_file}{\small .}{\small \par}
-Having set the \texttt{Par\_file} parameters, and having provided the
-\texttt{CMTSOLUTION} (or the \texttt{FORCESOLUTION}) and
-\texttt{STATIONS} files, you are now ready to launch the solver! This
-is most easily accomplished based upon the \texttt{go\_solver} script
-(See Chapter \ref{cha:Scheduler} for information about running through
-a scheduler, e.g., LSF). You may need to edit the last command at the
-end of the script that invokes the \texttt{mpirun} command. The
-\texttt{runall} script compiles and runs both
-\texttt{xgenerate\_databases} and \texttt{xspecfem3D} in
-sequence. This is a safe approach that ensures using the correct
+Having set the \texttt{Par\_file} parameters, and having provided
+the \texttt{CMTSOLUTION} (or the \texttt{FORCESOLUTION}) and \texttt{STATIONS}
+files, you are now ready to launch the solver! This is most easily
+accomplished based upon the \texttt{go\_solver} script (See Chapter
+\ref{cha:Scheduler} for information about running through a scheduler,
+e.g., LSF). You may need to edit the last command at the end of the
+script that invokes the \texttt{mpirun} command. The \texttt{runall}
+script compiles and runs both \texttt{xgenerate\_databases} and \texttt{xspecfem3D}
+in sequence. This is a safe approach that ensures using the correct
combination of distributed database output and solver input.
It is important to realize that the CPU and memory requirements of
@@ -1620,340 +1975,188 @@
with various flags turned on or off to develop a sense for what is
involved.
-For the same model, one can rerun the solver for different events by
-simply changing the \texttt{CMTSOLUTION} or \texttt{FORCESOLUTION}
+For the same model, one can rerun the solver for different events
+by simply changing the \texttt{CMTSOLUTION} or \texttt{FORCESOLUTION}
file, or for different stations by changing the \texttt{STATIONS}
file. There is no need to rerun the \texttt{xgenerate\_databases}
-executable. Of course it is best to include as many stations as
-possible, since this does not add to the cost of the simulation.
+executable. Of course it is best to include as many stations as possible,
+since this does not add to the cost of the simulation.
+\chapter{\label{cha:Fault-Kinematics-Dynamics}Kinematic and dynamic fault
+sources}
+SPECFEM3D can handle finite fault sources of two kinds:
+\begin{enumerate}
+\item \emph{Kinematic}: the spatio-temporal distribution of slip rate is
+prescribed along the fault surface
+\item \emph{Dynamic}: a friction law and initial stresses are prescribed
+on the fault, a spontaneous rupture process is computed.
+\end{enumerate}
-\chapter{\label{cha:Fault-Kinematics-Dynamics}Fault Kinematics and Dynamics}
+\section{\label{sec:Mesh-Generation-with}Mesh Generation with Split Nodes}
-Fault is a discontinuity in the continuum that needs special treatment
-with two nodes at the same locations. These are called split nodes
-that allow to capture deformation on the fault plane termed slip.
-Fault motion determines the deformation of the rest of the bulk. This
-fault motion can be of two types either physics based spontaneous
-rupture propagation or a prescribed rupture description. The former
-is known as fault dynamics while the later is fault kinematics. We
-describe here first the common features to both fault dynamics and
-kinematics and then give detailed description of parameters required
-for each of them separately.
-
-Input files : Two additional input files are required in \texttt{DATA}
-directory for faults with split nodes\\
-
-
-\texttt{\textbf{Par\_file\_faults}}\texttt{ - }specialized parameters
-required by fault modules (\emph{if this file doesn't exist, code
-assumes that there are no faults})
-
-\texttt{\textbf{FAULT\_STATIONS}}\texttt{ - }stations on the fault
-where timeseries output of slip, sliprate and traction is required
-\texttt{}~\\
-
-
-Currently faults can only be run with \texttt{xdecompose\_mesh }and\texttt{
-CUBIT. xmeshfem3D }isn't yet ready to handle faults.\\
-
-
-Important module related to fault :
-
-Decomposing mesh stage : $\mathtt{src/decompose\_mesh\_SCOTCH/fault\_scotch.f90}$
-
-Generating databases stage : $\mathtt{src/generate\_databases/fault\_generate\_databases.f90}$
-
-Solver stage : $\mathtt{src/specfem3D/fault\_solver\_common.f90}$
-
-{\small \qquad{}}$\mathtt{src/specfem3D/fault\_solver\_kinematic.f90}$
-
-{\small \qquad{}}$\mathtt{src/specfem3D/fault\_solver\_dynamic.f90}$\\
-
-
-The features and the format of inputs and outputs of fault routines
-are subject to change.\\
-
-
-
-\section{Mesh Generation with Split Nodes}
-
Faults need to be handled in a special way during mesh generation.
A fault surface must lie at the interface between elements (the mesh
must honor the fault surfaces). Moreover, a fault is made of two surfaces
in contact. Each of these two surfaces needs a separate set of nodes.
This approach is known as \textquotedbl{}split nodes\textquotedbl{}.
-To facilitate the mesh generation with split nodes in Cubit, we need
+Currently faults can only be run with \texttt{xdecompose\_mesh }and\texttt{
+CUBIT. xmeshfem3D }is not yet ready to handle faults.\\
+To facilitate the mesh generation with split nodes in CUBIT, we need
to separate the two fault surfaces by a small distance, effectively
-creating a tiny opening of the fault. Note that only the interior
+creating a tiny opening of the fault (Figure \ref{fig:examples.splitnodes},
+\ref{fig:examples.splitnodes-surfacetrace}). Note that only the interior
of the fault must be opened, its edges must remain closed (except
the edge on the free surface). The fault is automatically closed later
by SPECFEM3D.\\
-Here is an example Cubit script to generate a mesh with split nodes
-for a buried vertical strike-slip fault:\\
-reset \\
-brick x 10 y 10 z 10 \\
-webcut volume all with plane xplane \\
-webcut volume all with plane yplane \\
-webcut volume all with plane xplane offset 3 \\
-webcut volume all with plane zplane offset 3 \\
-webcut volume all with plane zplane offset -3 \\
-imprint all \\
-merge all \\
-unmerge surf 160 \\
-mesh vol all \\
-set node constraint off \\
-node in surf 168 move X 0 Y 0.01 Z 0 \\
-node in surf 160 move X 0 Y -0.01 Z 0\\
+Here is an example CUBIT script to generate a mesh with split nodes
+for a buried vertical strike-slip fault:
+\begin{lyxcode}
+~reset~~\\
+~brick~x~10~y~10~z~10~~\\
+~webcut~volume~all~with~plane~xplane~~\\
+~webcut~volume~all~with~plane~yplane~~\\
+~webcut~volume~all~with~plane~xplane~offset~3~~\\
+~webcut~volume~all~with~plane~zplane~offset~3~~\\
+~webcut~volume~all~with~plane~zplane~offset~-3~~\\
+~imprint~all~~\\
+~merge~all~~\\
+~unmerge~surf~160~~\\
+~mesh~vol~all~~\\
+~set~node~constraint~off~~\\
+~node~in~surf~168~move~X~0~Y~0.01~Z~0~~\\
+~node~in~surf~160~move~X~0~Y~-0.01~Z~0~\\
+\end{lyxcode}
\begin{figure}[htbp]
\noindent \begin{centering}
-\includegraphics[scale=0.3]{figures/faultmesh}
-\\
-\includegraphics[scale=0.3]{figures/surf168}
-\includegraphics[scale=0.3]{figures/splitnodes}
+\includegraphics[scale=0.3]{figures/faultmesh} \\
+ \includegraphics[scale=0.3]{figures/surf168} \includegraphics[scale=0.3]{figures/splitnodes}
\par\end{centering}
-\caption{Screenshots of the CUBIT example for embedded fault with split nodes:
-entire mesh decomposed into several volumes bounding the fault (top),
-fault surface 168 is selected (bottom-left) and split nodes of the
-fault illustrating only interior nodes of fault are split while those
-on the edges of fault surface are touching each other (bottom-right).}
-\label{fig:examples.splitnodes}
-\end{figure}
-The Cubit scripts ({*}.jou and {*}.py) in the directory $\mathtt{EXAMPLES}$
-generate more complicated meshes. The {*}.py files are Python scripts
-that execute Cubit commands and use the Cubit-python interface for
-SPECFEM3D (see next section). The Python language allows to define
-and manipulate variables to parameterize the mesh. Alternatively,
-the Python script can call a Cubit journal file ({*}.jou), which looks
-like the example above. Variables can be defined and manipulated there
-using the $\mathtt{APREPRO}$ language built in Cubit.\\
+\caption{Screenshots of the CUBIT example for the embedded fault with split
+nodes: The entire mesh is decomposed into several volumes bounding
+the fault (top), the fault surface 168 is shown as orange squares
+(middle) and split nodes of the fault shown as orange dots(bottom).
+Note that only interior nodes of the fault are split while those on
+the edges of the fault surface are touching each other.}
-\texttt{Note}: you should avoid gaps in the list of indices of mesh
-objects with the following Cubit command:
+\label{fig:examples.splitnodes}
+\end{figure}
-compress ids hex face edge node')
+\begin{lyxcode}
-(otherwise you will get a segmentation fault during domain decomposition)\\
+\end{lyxcode}
+\begin{figure}[htbp]
+\noindent \begin{centering}
+\includegraphics[scale=0.55]{figures/splitnodes_surfacetrace} \\
+
+\par\end{centering}
+\caption{Screenshots of a CUBIT example showing split nodes for a fault reaching
+the surface. Surface trace of the fault is shown in orange. Note that
+the edges of the fault are not split while the interior nodes are
+offset by a small distance on either side of the fault}
-\section{Cubit-Python Scripts for Faults}
+\label{fig:examples.splitnodes-surfacetrace}
+\end{figure}
-The mesh generated in Cubit needs to be processed and exported in
-a format compatible with SPECFEM3D. This is achieved in the Python
-scripts by calling the Python-Cubit interface functions defined in
-the CUBIT directory:
-\begin{enumerate}
-\item Function \textquotedbl{}$\mathtt{define\_bc}$\textquotedbl{} (or
-similar ones) must be called to set up the absorbing boundaries database
-\item Function \textquotedbl{}$\mathtt{fault\_input}$\textquotedbl{} must
-be called once for each fault to set up the fault database
-\item Function \textquotedbl{}$\mathtt{cubit2specfem3d.export2SESAME}$\textquotedbl{}
-must be called at the very end of the script to export the mesh in
-a SPECFEM3D format.
-\end{enumerate}
-The functions in \#1 and \#3 are for bulk and are not documented here.
-We focus here on \#2:\\
+The CUBIT scripts ({*}.jou and {*}.py) in the directory $\mathtt{examples}$
+generate more complicated meshes. The {*}.py files are Python scripts
+that execute CUBIT commands and use the CUBIT-python interface for
+SPECFEM3D (see next section). The Python language allows to define
+and manipulate variables to parameterize the mesh. Alternatively,
+the Python script can call a CUBIT journal file ({*}.jou), which looks
+like the example above. Variables can be defined and manipulated there
+using the $\mathtt{APREPRO}$ language built in CUBIT.\\
-\textbf{Function}: $\mathtt{fault\_input}$
-\textbf{Purpose}: export a fault mesh database from Cubit to a SPECFEM3D-compliant
-file
+Note that you should avoid gaps in the list of indices of mesh objects
+with the following CUBIT command:
+\begin{lyxcode}
+$\mathtt{compress\: ids\: hex\: face\: edge\: node}$
+\end{lyxcode}
+(otherwise you will get a segmentation fault during domain decomposition)
-\textbf{Syntax}: fault\_input(id\_fault, ids\_surf\_1, ids\_surf\_2)\\
+\section{CUBIT-Python Scripts for Faults}
-\textbf{Inputs}: id\_fault integer index assigned to the fault.
-
-(The user must number all the faults, starting at 1, with unit increments)
-\begin{lyxlist}{-}
-\item [{ids\_surf\_1}] list of Cubit ids of all surfaces that form side
-1 of the fault
-\item [{ids\_surf\_2}] list of Cubit ids of all surfaces that form side
-2 of the fault
-\end{lyxlist}
-(The user must decide which side of the fault is side 1. This choice
-affects the sign conventions of fault quantities as explained in a
-later section)\\
-
-
-\textbf{Outputs}: file \textquotedbl{}fault\_file\_X.dat\textquotedbl{},
-where X is the fault id (id\_fault).\\
-
-
-\textbf{Example}: For the example in the previous section:\\
-
-
-$\hphantom{}$A1 = {[}168{]}
-
-$\hphantom{}$A2 = {[}160{]}
-
-$\hphantom{}$faultA = fault\_input(1,A1,A2)\\
-
-
-
-\section{Running a Simulation }
+The mesh generated in CUBIT needs to be processed and exported in
+a format compatible with SPECFEM3D. This is achieved in the Python
+scripts by calling the Python-CUBIT interface functions defined in
+the CUBIT directory:
\begin{enumerate}
-\item Copy the input files to the work directory:
+\item Function $\mathtt{define\_bc}$ (or $\mathtt{boundary\_definition.py}$)
+must be called to set up the absorbing boundaries database
+\item Function $\mathtt{fault\_input}$ must be called once for each fault
+to set up the fault database
+\item Function $\mathtt{cubit2specfem3d.export2SESAME}$ must be called
+at the very end of the script to export the mesh in a SPECFEM3D format.
+\end{enumerate}
+The functions in \#1 and \#3 are for the bulk and are documented in
+Section \ref{subsec:Exporting-the-Mesh}. We focus here on \#2:
+\begin{description}
+\item [{Function:}] $\mathtt{fault\_input}$
+\item [{Purpose:}] export a fault mesh database from CUBIT to a SPECFEM3D-compliant
+file
+\item [{Syntax:}] fault\_input(id\_fault, ids\_surf\_1, ids\_surf\_2)
+\item [{Inputs:}]~\end{description}
+\begin{itemize}
+\item id\_fault integer index assigned to the fault. (The user must number
+all the faults, starting at 1, with unit increments)
+\item ids\_surf\_1 list of CUBIT ids of all surfaces that form side 1 of
+the fault.
+\item ids\_surf\_2 list of CUBIT ids of all surfaces that form side 2 of
+the fault. (The user must decide which side of the fault is side 1.
+This choice affects the sign conventions of fault quantities as explained
+in Section \ref{sec:Sign-Convention-for}).\end{itemize}
+\begin{description}
+\item [{Outputs:}] file $\mathtt{fault\_file\_X.dat}$, where X is the
+fault id (id\_fault).
+\item [{Example:}] For the example in Section \ref{sec:Mesh-Generation-with}:\end{description}
+\begin{lyxcode}
+$\hphantom{}$A1~=~{[}168{]}
+$\hphantom{}$A2~=~{[}160{]}
->\textcompwordmark{}> cd \textasciitilde{}/$\mathtt{SPECFEM3D}$$\mathtt{}$
+$\hphantom{}$fault\_input(1,A1,A2)
+\end{lyxcode}
-
->\textcompwordmark{}> cp -r $\mathtt{EXAMPLES/splay\_faults/DATA}$
-./
-
-\item Create a mesh with CUBIT: (If you have not installed CUBIT yet skip
-this step and use the mesh files included with the examples.)
-
-
-See the previous section \textquotedbl{}Mesh Generation with Split
-Nodes\textquotedbl{} or move to the directory CUBIT, open the cubit
-GUI, run a CUBIT script: >\textcompwordmark{}> cd \textasciitilde{}$\mathtt{/SPECFEM3D/CUBIT}$
->\textcompwordmark{}> cubit In CUBIT's menu \textquotedbl{}Tools\textquotedbl{},
-select \textquotedbl{}Play Journal File\textquotedbl{} and select
-a script file, for instance: $\mathtt{EXAMPLES/splay\_faults/splay\_faults.py}$
-
-
-This creates several mesh files in directory $\mathtt{CUBIT/MESH/}$:
-absorbing\_surface\_file\_{*} (5 files) free\_or\_absorbing\_surface\_file\_zmax materials\_file
-mesh\_file nodes\_coords\_file nummaterial\_velocity\_file
-
-
-The CUBIT graphics window should show the mesh (e.g. $\mathtt{EXAMPLES/splay_{f}aults/splay_{f}aults.jpg}$)
-You can zoom, pan or rotate using mouse gestures. To look at the block
-of your interest, set \textquotedbl{}visibility off\textquotedbl{}
-in the other blocks.
-
-
-To run CUBIT from different working directories it is convenient to
-include the path to $\mathtt{SPECFEM3D/CUBIT}$ in an environment
-variable $\mathtt{PYTHONPATH}$
-
-\item Partition the mesh with the domain decomposition software SCOTCH.
-
-
->\textcompwordmark{}> cd \textasciitilde{}/$\mathtt{SPECFEM3D/decompose\_mesh\_SCOTH}$
-
-
->\textcompwordmark{}> ./$\mathtt{decompose\_mesh\_SCOTCH}$ 'nproc'
-../$\mathtt{CUBIT/MESH/}$ ../$\mathtt{DATABASES\_MPI}$ /
-
-
-where 'nproc' is the number of processors that you will use in the
-simulation. The second argument (../$\mathtt{CUBIT/MESH/}$ in this
-example) is the path to the directory containing the mesh files that
-were generated by CUBIT. This creates one mesh file proc000{*}{*}{*}\_Database
-per processor in directory $\mathtt{DATABASES\_MPI}$ . These files
-can be large, so you might want to place $\mathtt{DATABASES\_MPI}$
-in a scratch disk and specify the path accordingly when executing
-$x\mathtt{decompose\_mesh\_SCOTCH}$.
-
-\item Edit the file $\mathtt{DATA/Par_{f}ile}$: (copy an example here,
-see III.2)
-
-
-$\mathtt{LOCAL\_PATH}$= should be the path to $\mathtt{DATABASES\_MPI}$
-
-
-$\mathtt{NPROC}$= number of processors. The same as the number of
-partitions in SCOTCH (step 3).
-
-\item Generate databases:
-
-
->\textcompwordmark{}> cd \textasciitilde{}/$\mathtt{SPECFEM3D}$
-
-
->\textcompwordmark{}> mpirun -np nproc ./$\mathtt{xgenerate_{d}atabases}$
-
-
-or
-
-
->\textcompwordmark{}> $\mathtt{./run/run.xdatabases}$
-
-
-or
-
-
->\textcompwordmark{}> qsub -l nodes=... -l walltime=... go\_mesher
-(the script go\_mesher is in $\mathtt{utils/}$)
-
-
-This creates several binary mesh files for each processor (proc000{*}{*}{*}.bin)
-in directory $\mathtt{DATABASES\_MPI}$.
-
-\item If this is the first time you run a simulation with this mesh, set
-the parameter DT (the time step) DATA/Par\_file to a value smaller
-than the \textquotedbl{}Maximum suggested time step\textquotedbl{}
-in $\mathtt{OUTPUT\_FILES/output\_mesher.txt}$. Consider the note
-in section IV about the effect of Kelvin-Voigt damping on the critical
-timestep. Edit the variables $\mathtt{NSTEP}$ and $\mathtt{NTSTEP\_*}$
-in $\mathtt{DATA/Par\_file}$ accordingly.
-\item Run the solver:
-
-
->\textcompwordmark{}> mpirun -np nproc ./$\mathtt{xspecfem3D}$
-
-
-or
-
-
->\textcompwordmark{}> $\mathtt{./run/run.xspecfem3d}$
-
-
-or
-
-
->\textcompwordmark{}> qsub -l nodes=... -l walltime=... go\_solver
-(the script go\_solver is in $\mathtt{utils/}$)
-
-\end{enumerate}
-
\section{Examples}
-The package includes examples, the SCEC benchmark problems:
+The package includes examples, the SCEC benchmark problems:
\begin{itemize}
-\item TPV5, a planar vertical strike-slip fault
-\item TPV14 and TPV15, vertical strike-slip fault system with a fault branch
-\item TPV102 and TPV103, rate-and-state benchmarks
-\item TPV22 and TPV23, step-over benchmarks
-\item TPV16, heterogenous initial stress
+\item TPV5, a planar vertical strike-slip fault
+\item TPV14 and TPV15, vertical strike-slip fault system with a fault branch
+\item TPV102 and TPV103, rate-and-state benchmarks
+\item TPV22 and TPV23, step-over benchmarks
+\item TPV16, heterogenous initial stress
+\end{itemize}
+and
+\begin{itemize}
\item Splay fault models from Wendt et al. (2009)\\
\end{itemize}
-To run the examples:
-\begin{enumerate}
-\item Read the documents in the directory $\mathtt{EXAMPLES/*/description}$.
+Read the documents in the directory $\mathtt{examples/*/description}$.
They contain a description of the example and additional instructions
-to run it.
-\item Replace the contents of directory $\mathtt{DATA/*}$ by one of the
-$\mathtt{EXAMPLES/tpv*/DATA}$, for instance:
+to run it. Visualize the results with the Matlab scripts in the directory
+$\mathtt{examples/*/post}$
->\textcompwordmark{}> cp -r $\mathtt{EXAMPLES/tpv5/DATA}$ ./
+\section{\label{sec:Sign-Convention-for}Sign Convention for Fault Quantities}
-\item Follow all the steps in section II above.
-\item Visualize the results with the matlab scripts in the directory $\mathtt{EXAMPLES/*/post}$
-\end{enumerate}
-
-\section{Sign Convention for Fault Quantities}
-
During mesh generation, the fault is defined by two surfaces in contact.
Let's denote as \textquotedbl{}\emph{side 1}\textquotedbl{} the SECOND
surface declared by the user in the call to the python function \textquotedbl{}\emph{fault\_input}\textquotedbl{},
and the FIRST surface as \textquotedbl{}\emph{side 2}\textquotedbl{}.
The local coordinate system on the fault is defined as the right-handed
-coordinate system defined by (strike, dip, normal), where \textquotedbl{}normal\textquotedbl{}
+coordinate system defined by (strike, dip, normal), where \textquotedbl{}\emph{normal}\textquotedbl{}
is the normal vector outgoing from side 1, \textquotedbl{}\emph{dip}\textquotedbl{}
is parallel to the along-dip direction pointing downwards, and \textquotedbl{}\emph{strike}\textquotedbl{}
is the horizontal along-strike vector such that the system is right-handed.\\
@@ -1977,102 +2180,89 @@
\section{Input Files}
-\textbf{DATA/Par\_file}
-\begin{lyxlist}{-}
-\item [{\textbf{DATA/STATIONS}}] List of stations outside the fault
+Three additional input files are required in the \texttt{DATA} directory
+for dynamic and kinematic faults. They are $\mathtt{Par\_file\_faults}$,
+$\mathtt{FAULT\_STATIONS}$ and $\mathtt{input\_file.txt}$ (optional).
+If the former does not exist, the code assumes that there are no faults.\\
+
+\begin{lyxlist}{00.00.0000}
\item [{\textbf{DATA/Par\_file\_faults}}] contains parameters of the fault.
The first part of this file has a strict format:
\begin{description}
-\item [{Line}] 1: Number of faults (NF)
+\item [{Line}] 1: Number of faults (NF)
\item [{Lines}] 2 to NF+1: Kelvin Voigt damping (in seconds) for each fault.
-(See below how to set this parameter)
-\item [{Line}] NF+2: Type of simulation (1=dynamic , 2 = kinematic)
+(See below how to set this parameter)
+\item [{Line}] NF+2: Type of simulation (1=dynamic , 2 = kinematic)
\item [{Line}] NF+3: Number of time steps between updates of the time series
outputs at selected fault points (see DATA/FAULT\_STATIONS), usually
a large number (100s or 1000s). Note that the sampling rate of the
-time series is usually much higher.
+time series is usually much higher.
\item [{Line}] NF+4: Number of time steps between fault snapshot outputs
(quantities at every fault point exported at regular times), usually
-a large number (100s or 1000s).
+a large number (100s or 1000s).
\item [{Line}] NF+5: Slip velocity threshold below which frictional healing
is set (friction coefficient is reset to its static value). If this
-value is negative healing is disabled.
+value is negative healing is disabled.
\item [{Line}] NF+6: Slip velocity threshold to define the rupture front.
-Only used for outputs.
+Only used for outputs.
\end{description}
The rest of this file is made of namelist input blocks (see \textquotedbl{}namelist\textquotedbl{}
in a Fortran 9x manual). The input for each fault has the following
sequence (arguments in {[}brackets{]} are optional):
-\end{lyxlist}
+
\&\textbf{BEGIN\_FAULT} /
+
\&\textbf{INIT\_STRESS} S1, S2, S3 {[},n1, n2, n3{]} /
+
followed by (n1+n2+n3) \&\textbf{DIST2D} blocks
+
\&\textbf{SWF} mus, mud, dc {[}, nmus, nmud, ndc{]} /
+
followed by (nmus+nmud+ndc) \&\textbf{DIST2D} blocks\\
-\begin{lyxlist}{-}
+\begin{lyxlist}{00.00.0000}
\item [{\&\textbf{INIT\_STRESS}}] input block sets the initial fault stresses
relative to the foot-wall side of the fault. Initial stresses are
composed of a constant background value possibly overwritten in prescribed
regions by heterogeneous distributions (see \&\textbf{DIST2D} blocks
below):
-
-S1 = constant background value of along-strike shear stress (positive
+\begin{description}
+\item [{S1}] = constant background value of along-strike shear stress (positive
in the usual strike direction)
-
-
-S2 = constant background value of along-dip shear (positive is down-dip,
-normal faulting)
-
-
-S3 = constant background value of normal stress (negative in compresion)
-
-
-n1 = number of heterogeneous items for along-strike shear stress {[}default
+\item [{S2}] = constant background value of along-dip shear (positive is
+down-dip, normal faulting)
+\item [{S3}] = constant background value of normal stress (negative in
+compression)
+\item [{n1}] = number of heterogeneous items for along-strike shear stress
+{[}default is 0{]}
+\item [{n2}] = number of heterogeneous items for along-dip shear stress
+{[}default is 0{]}
+\item [{n3}] = number of heterogeneous items for normal stress {[}default
is 0{]}
-
-
-n2 = number of heterogeneous items for along-dip shear stress {[}default
-is 0{]}
-
-
-n3 = number of heterogeneous items for normal stress {[}default is
-0{]}\\
-
-
+\end{description}
\item [{\&\textbf{SWF}}] input block sets the slip-weakening friction parameters
of the fault:
-
-mus = constant background value of static friction coefficient
-
-
-mud = constant background value of dynamic friction coefficient
-
-
-dc = constant background value of critical slip-weakening distance
-
-
-nmus = number of heterogeneous items for static friction coefficient
+\begin{description}
+\item [{mus}] = constant background value of static friction coefficient
+\item [{mud}] = constant background value of dynamic friction coefficient
+\item [{dc}] = constant background value of critical slip-weakening distance
+\item [{nmus}] = number of heterogeneous items for static friction coefficient
{[}default is 0{]}
-
-
-nmud = number of heterogeneous items for dynamic friction coefficient
+\item [{nmud}] = number of heterogeneous items for dynamic friction coefficient
{[}default is 0{]}
+\item [{ndc}] = number of heterogeneous items for critical slip-weakening
+distance {[}default is 0{]}\\
-
-ndc = number of heterogeneous items for critical slip-weakening distance
-{[}default is 0{]}\\
-
-
+\end{description}
\item [{\&\textbf{DIST2D}}] input blocks modify (overwrite) the value of
a fault parameter by a heterogeneous spatial distribution:
@@ -2110,144 +2300,113 @@
and radius r. \\
+\end{lyxlist}
+\end{lyxlist}
+
+\begin{lyxlist}{00.00.0000}
\item [{\textbf{DATA/FAULT\_STATIONS}}] Stations in the fault plane.
-Line 1: number of stations.
+\textbf{Line 1} : number of stations.
-Line 2 to end: 5 columns: X, Y, Z (-depth), station name, fault-id
+\textbf{Line 2 to end}: 5 columns: X, Y, Z (-depth), station name,
+fault-id
The fault-id identifies the fault that contains the station. It is
the index of appearance in the faults list after line 2 of Par\_file\_faults
+\end{lyxlist}
+
+\begin{lyxlist}{00.00.0000}
\item [{\textbf{DATA/input\_file.txt}}] Heterogeneous stresses and friction
-parameters Documented in page 10 of EXAMPLES/tpv16.crack/description/TPV16\_17\_Description\_v03.pdf
+parameters are documented in page 10 of
+\begin{lyxlist}{00.00.0000}
+\item [{$\mathtt{examples/tpv16/description/TPV16\_17\_Description\_v03.pdf}$}]~
+\end{lyxlist}
-To activate this feature, in fault\_solver.f90 set TPV16 = .true.
-then re-compile the code: cd SPECFEM3D make
+To activate this feature, in fault\_solver\_dynamic.f90 set \textbf{TPV16}
+= .true. then re-compile the code.
-\item [{Heterogeneous}] velocity models can be given in a regular grid.
-
-
-In the mesh generation Python file (.py) or in the CUBIT journal file
-(.jou), set the material 1st attribute to -1:
-
-
-\qquad{}block {*} attribute index 1 -1
-
-
-In module model\_tomography.f90:
-
-
-\qquad{}Set the parameter TOMO\_FILENAME to the name of the file
-containing the velocity model.
-
-
-Re-compile the code:
-
-
-\qquad{}cd SPECFEM3D
-
-
-\qquad{}make \\
-
-
-
-The format of the velocity file is:
-\begin{description}
-\item [{Line}] 1: ORIG\_X, ORIG\_Y, ORIG\_Z, END\_X, END\_Y, END\_Z (coordinates
-of the two extreme corners of the box)
-\item [{Line}] 2: SPACING\_X, SPACING\_Y, SPACING\_Z (regular grid spacing
-in each direction)
-\item [{Line}] 3: NX, NY, NZ (number of grid point in each direction)
-\item [{Line}] 4: VP\_MIN, VP\_MAX, VS\_MIN, VS\_MAX, RHO\_MIN, RHO\_MAX
-(min and max values of P wave speed, S wave speed and density)
-\item [{Line}] 5 to 4+NX{*}NY{*}NZ: x\_tomo,y\_tomo,z\_tomo,vp\_tomo,vs\_tomo,rho\_tomo
-(position, P wave speed, S wave speed, density)\\
-
-\end{description}
\end{lyxlist}
-Several files are generated automatically by xgenerate\_databases
-in directory DATABASES\_MPI and do not need to be modified by the
-user.
+\section{\label{sec:Setting-the-Kelvin-Voigt}Setting the Kelvin-Voigt Damping
+Parameter }
-\section{How to set the Kelvin-Voigt Damping Parameter }
-
The purpose of the Kelvin-Voigt viscosity in the dynamic fault solver
is to damp spurious oscillations generated by the fault slip at frequencies
-that are too high to be resolved by the mesh. The viscosity \textquotedbl{}\emph{eta}\textquotedbl{}
+that are too high to be resolved by the mesh. The viscosity $\mathtt{eta}$
(in seconds) depends on the size of the elements on the fault. Here
-is how to set it:
+is how to set it:
\begin{enumerate}
\item Determine the average linear size of the elements on the fault plane,
-\textquotedbl{}\emph{h\_fault}\textquotedbl{}. Usually this value
-is prescribed by the user during mesh generation. Otherwise it can
-be found by inspection of the mesh inside the Cubit GUI.
-\item Use the matlab function $\mathtt{utils/critical_{t}imestep.m}$ to
-compute dtc\_fault = critical\_timestep(cp,h\_fault,ngll) This is
-the critical time step in an elastic medium for a hypothetical element
-of cubic shape with size equal to h\_fault.
-\item Set eta in Par\_file\_faults to (0.1 to 0.3){*}dtc\_fault. A larger
-eta damps high-frequencies more aggresively but it might also affect
-lower frequencies and rupture speed.
-
-
+$\mathtt{h\_fault}$. Usually this value is prescribed by the user
+during mesh generation. Otherwise it can be found by inspection of
+the mesh inside the CUBIT GUI.
+\item Use the Matlab function $\mathtt{utils/critical\_timestep.m}$ to
+compute\\
+ $\mathtt{dtc\_fault}=\mathtt{critical\_timestep\left(c_{p},h\_fault,ngll\right)}$.
+\\
+This is the critical time step in an elastic medium for a hypothetical
+element of cubic shape with size equal to $\mathtt{h\_fault}$.
+\item Set $\mathtt{eta}$ in $\mathtt{Par\_file\_faults}$ to (0.1 to 0.3)$\ensuremath{\times}\mathtt{dtc\_fault}$.
+A larger $\mathtt{eta}$ damps high-frequencies more aggressively
+but it might also affect lower frequencies and rupture speed.
+\end{enumerate}
Viscosity reduces numerical stability: the critical timestep in a
simulation with Kelvin-Voigt damping needs to be smaller than that
in a purely elastic simulation. Here is how to set the time step accordingly:
-
-\item Run a test simulation without viscosity (eta=0 and only a few time
-steps)
+\begin{enumerate}
+\item Run a test simulation without viscosity ($\mathtt{eta}$=0 and only
+a few time steps)
\item Look for the \textquotedbl{}maximum suggested time step\textquotedbl{}
-in $\mathtt{OUTPUT_{F}ILES/output_{m}esher.txt}$ This is the critical
-timestep of a purely elastic simulation, \textquotedbl{}dtc\_bulk\textquotedbl{}.
+in $\mathtt{OUTPUT\_FILES/output\_mesher.txt}$. This is the critical
+timestep of a purely elastic simulation, $\mathtt{dtc\_bulk}$.
\item Reset the timestep of the simulation with a Kelvin-Voigt material
-to a value smaller than dtc\_kv = eta{*}( sqrt(1+dtc\_bulk\textasciicircum{}2/eta\textasciicircum{}2)-1
-)
+to a value smaller than\\
+ $\mathtt{dtc\_kv}=\mathtt{eta}\left(\sqrt{1+\mathtt{dtc\_bulk^{2}}/\mathtt{eta^{2}}}-1\right)$
\end{enumerate}
-Note that in general dtc\_bulk is smaller than dtc\_fault, because
-elements off the fault might be smaller or more distorted than element
-faces on the fault.
+Note that in general $\mathtt{dtc\_bulk}$ is smaller than $\mathtt{dtc\_fault}$,
+because elements off the fault might be smaller or more distorted
+than element faces on the fault.
\section{Output Files }
-Several output files are saved in \textasciitilde{}/$\mathtt{SPECFEM3D/OUTPUT_{F}ILES}$:\\
+Several output files are saved in $\mathtt{OUTPUT\_FILES}$:\\
\begin{enumerate}
-\item Seismograms for each station on the fault plane given in $\mathtt{DATA/FAULT_{S}TATIONS}$.
+\item Seismograms for each station on the fault plane given in $\mathtt{DATA/FAUL\_STATIONS}$.
One output file is generated for each station, named after the station.
The files are ascii and start with a header (22 lines long) followed
by a data block with the following format, one line per time sample:\\
-\# Column \#1 = Time (s)
+Column 1 = Time (s)
-\# Column \#2 = horizontal right-lateral slip (m)
+Column 2 = horizontal right-lateral slip (m)
-\# Column \#3 = horizontal right-lateral slip rate (m/s)
+Column 3 = horizontal right-lateral slip rate (m/s)
-\# Column \#4 = horizontal right-lateral shear stress (MPa)
+Column 4 = horizontal right-lateral shear stress (MPa)
-\# Column \#5 = vertical up-dip slip (m)
+Column 5 = vertical up-dip slip (m)
-\# Column \#6 = vertical up-dip slip rate (m/s)
+Column 6 = vertical up-dip slip rate (m/s)
-\# Column \#7 = vertical up-dip shear stress (MPa)
+Column 7 = vertical up-dip shear stress (MPa)
-\# Column \#8 = normal stress (MPa)\\
+Column 8 = normal stress (MPa)\\
@@ -2256,43 +2415,41 @@
defined as displacement of the hanging wall relative to the footwall.
\item Seismograms at stations in the bulk (out of the fault plane) given
-in $\mathtt{DATA/STATIONS}$.
-\item Rupture time files are named Rupture\_time\_FAULT-id. One file is
-generated for each fault. The files are ascii and start with a header
-(12 lines long) followed by a data block with the following format,
-one line per fault node:
+in $\mathtt{DATA/STATIONS}$.
+\item Rupture time files are named $\mathtt{Rupture\_time\_FAULT}$-$\mathtt{id}$.
+One file is generated for each fault. The files are ascii and start
+with a header (12 lines long) followed by a data block with the following
+format, one line per fault node:
-\# Column \#1 = horizontal coordinate, distance along strike (m)
+Column 1 = horizontal coordinate, distance along strike (m)
-\# Column \#2 = vertical coordinate, distance down-dip (m)
+Column 2 = vertical coordinate, distance down-dip (m)
-\# Column \#3 = rupture time (s)
+Column 3 = rupture time (s)
\item Fault quantities (slip, slip rate, stresses, etc) at regular times
-are stored in binary data files called Snapshot\#it\#.bin, where \#it\#
-is the timestep number. These can be read in Matlab with the function
-$\mathtt{Post-processing/FSEM3D\_snapshot.m}$
+are stored in binary data files called $\mathtt{Snapshot\#it\#.bin}$,
+where \#it\# is the timestep number. These can be read in Matlab with
+the function $\mathtt{utils/FSEM3D\_snapshot.m}$
\end{enumerate}
\section{Post-processing and Visualization }
Some Matlab functions for post-processing and visualization are included
-in directory Post-processing. The functions are internally documented
+in directory $\mathtt{utils}$. The functions are internally documented
(see their matlab help).\\
\texttt{FSEM3D\_snapshot} reads a fault data snapshot\\
-The directories$\mathtt{EXAMPLES/*/post}$ contain additional Matlab
+The directories $\mathtt{examples/*/post}$ contain additional Matlab
scripts to generate figures specific to each example.
-
-
\chapter{\label{cha:Adjoint-Simulations}Adjoint Simulations}
Adjoint simulations are generally performed for two distinct applications.
@@ -2312,7 +2469,8 @@
(1, 2 or 3) and the \texttt{SAVE\_FORWARD} (boolean).
-\section{\label{sec:Adjoint-simulation-sources}Adjoint Simulations for Sources Only (not for the Model)}
+\section{\label{sec:Adjoint-simulation-sources}Adjoint Simulations for Sources
+Only (not for the Model)}
In the case where a specific misfit function is minimized to invert
for the earthquake source parameters, the gradient of the misfit function
@@ -2320,19 +2478,19 @@
time-reversed seismograms at the receivers and using them as sources
in an adjoint simulation, and then the value of the gradient is obtained
from the adjoint seismograms recorded at the original earthquake location.
-
\begin{enumerate}
\item \textbf{Prepare the adjoint sources} \label{enu:Prepare-the-adjoint}
\begin{enumerate}
\item First, run a regular forward simlation (\texttt{SIMULATION\_TYPE =
1} and \texttt{SAVE\_FORWARD = .false.}). You can automatically set
-these two variables using the \texttt{\small utils/change\_simulation\_type.pl}
-script:
+these two variables using the \texttt{\small utils/change\_simulation\_type.pl}{\small{}
+script:}{\small \par}
\begin{lyxcode}
utils/change\_simulation\_type.pl~-f~
\end{lyxcode}
+
and then collect the recorded seismograms at all the stations given
in \texttt{DATA/STATIONS}.
@@ -2344,50 +2502,50 @@
\begin{itemize}
\item Depending on what type of misfit function is used for the source inversion,
adjoint sources need to be computed from the original recorded seismograms
-for the selected stations and saved in the \texttt{OUTPUT\_FILES/SEM/} directory
-with the format \texttt{STA.NT.BX?.adj}, where \texttt{STA}, \texttt{NT}
-are the station name and network code given in the \texttt{DATA/STATIONS\_ADJOINT}
+for the selected stations and saved in the \texttt{OUTPUT\_FILES/SEM/}
+directory with the format \texttt{STA.NT.BX?.adj}, where \texttt{STA},
+\texttt{NT} are the station name and network code given in the \texttt{DATA/STATIONS\_ADJOINT}
file, and \texttt{BX?} represents the component name of a particular
-adjoint seismogram. Please note that the band code can change depending on
-your sampling rate (see Appendix~\ref{cha:channel-codes} for further details).
+adjoint seismogram. Please note that the band code can change depending
+on your sampling rate (see Appendix~\ref{cha:channel-codes} for
+further details).
\item The adjoint seismograms are in the same format as the original seismogram
(\texttt{STA.NT.BX?.sem?}), with the same start time, time interval
-and record length.
+and record length.
\end{itemize}
\item Notice that even if you choose to time reverse only one component
from one specific station, you still need to supply all three components
because the code is expecting them (you can set the other two components
-to be zero).
+to be zero).
\item Also note that since time-reversal is done in the code itself, no
explicit time-reversing is needed for the preparation of the adjoint
sources, i.e., the adjoint sources are in the same forward time sense
-as the original recorded seismograms.
+as the original recorded seismograms.
\end{enumerate}
\item \textbf{Set the related parameters and run the adjoint simulation}\\
-In the \texttt{DATA/Par\_file}, set the two related parameters to
+ In the \texttt{DATA/Par\_file}, set the two related parameters to
be \texttt{SIMULATION\_TYPE = 2} and \texttt{SAVE\_FORWARD = .false.}.
More conveniently, use the scripts \texttt{utils/change\_simulation\_type.pl}
to modify the \texttt{Par\_file} automatically (\texttt{change\_simulation\_type.pl
--a}). Then run the solver to launch the adjoint simulation.
+-a}). Then run the solver to launch the adjoint simulation.
\item \textbf{Collect the seismograms at the original source location}
After the adjoint simulation has completed successfully, collect the
seismograms from \texttt{LOCAL\_PATH}.
-
\begin{itemize}
\item These adjoint seismograms are recorded at the locations of the original
earthquake sources given by the \texttt{DATA/CMTSOLUTION} file, and
have names of the form \texttt{S?????.NT.S??.sem} for the six-component
strain tensor (\texttt{SNN,SEE,SZZ,SNE,SNZ,SEZ}) at these locations,
and ~\\
-\texttt{S?????.NT.BX?.sem} for the three-component displacements
-(\texttt{BXN,BXE,BXZ}) recorded at these locations.
+ \texttt{S?????.NT.BX?.sem} for the three-component displacements
+(\texttt{BXN,BXE,BXZ}) recorded at these locations.
\item \texttt{S?????} denotes the source number; for example, if the original
\texttt{CMTSOLUTION} provides only a point source, then the seismograms
-collected will start with \texttt{S00001}.
+collected will start with \texttt{S00001}.
\item These adjoint seismograms provide critical information for the computation
-of the gradient of the misfit function.
+of the gradient of the misfit function.
\end{itemize}
\end{enumerate}
@@ -2395,55 +2553,57 @@
Kernels (Kernel Simulation)}
Finite-frequency sensitivity kernels are computed in two successive
-simulations (please refer to \citet{LiTr06} and \citet{TrKoLi08} for details).
-
+simulations (please refer to \citet{LiTr06} and \citet{TrKoLi08}
+for details).
\begin{enumerate}
\item \textbf{Run a forward simulation with the state variables saved at
the end of the simulation}
-Prepare the \texttt{\small CMTSOLUTION} and \texttt{\small STATIONS}
-files, set the parameters \texttt{\small SIMULATION\_TYPE}{\small{}
-}\texttt{\small =}{\small{} }\texttt{\small 1} and \texttt{\small SAVE\_FORWARD
-=}{\small{} }\texttt{\small .true.} in the \texttt{Par\_file} (\texttt{change\_simulation\_type
--F}), and run the solver.
-
+Prepare the \texttt{\small CMTSOLUTION}{\small{} and }\texttt{\small STATIONS}{\small{}
+files, set the parameters }\texttt{\small SIMULATION\_TYPE}{\small {}
+}\texttt{\small =}{\small {} }\texttt{\small 1}{\small{} and }\texttt{\small SAVE\_FORWARD
+=}{\small {} }\texttt{\small .true.}{\small{} in the }\texttt{\small Par\_file}{\small{}
+(}\texttt{\small change\_simulation\_type -F}{\small ), and run the
+solver.}{\small \par}
\begin{itemize}
\item Notice that attenuation is not implemented yet for the computation
of finite-frequency kernels; therefore set \texttt{ATTENUATION = .false.}
-in the \texttt{Par\_file}.
+in the \texttt{Par\_file}.
\item We also suggest you modify the half duration of the \texttt{CMTSOLUTION}
to be similar to the accuracy of the simulation (see Equation \ref{eq:shortest_period})
to avoid too much high-frequency noise in the forward wavefield, although
theoretically the high-frequency noise should be eliminated when convolved
-with an adjoint wavefield with the proper frequency content.
-\item This forward simulation differs from the regular simulations (\texttt{\small SIMULATION\_TYPE}{\small{}
-}\texttt{\small =}{\small{} }\texttt{\small 1} and \texttt{\small SAVE\_FORWARD}{\small{}
-}\texttt{\small =}{\small{} }\texttt{\small .false.}) described in
-the previous chapters in that the state variables for the last time
-step of the simulation, including wavefields of the displacement,
-velocity, acceleration, etc., are saved to the \texttt{LOCAL\_PATH}
-to be used for the subsequent simulation.
+with an adjoint wavefield with the proper frequency content.
+\item This forward simulation differs from the regular simulations (\texttt{\small SIMULATION\_TYPE}{\small {}
+}\texttt{\small =}{\small {} }\texttt{\small 1}{\small{} and }\texttt{\small SAVE\_FORWARD}{\small {}
+}\texttt{\small =}{\small {} }\texttt{\small .false.}{\small ) described
+in the previous chapters in that the state variables for the last
+time step of the simulation, including wavefields of the displacement,
+velocity, acceleration, etc., are saved to the }\texttt{\small LOCAL\_PATH}{\small{}
+to be used for the subsequent simulation. }{\small \par}
\item For regional simulations, the files recording the absorbing boundary
contribution are also written to the \texttt{LOCAL\_PATH} when \texttt{SAVE\_FORWARD
-= .true.}.
+= .true.}.
\end{itemize}
\item \textbf{Prepare the adjoint sources}
The adjoint sources need to be prepared the same way as described
in the Section \ref{enu:Prepare-the-adjoint}.
-
\begin{itemize}
\item In the case of travel-time finite-frequency kernel for one source-receiver
pair, i.e., point source from the \texttt{CMTSOLUTION}, and one station
in the \texttt{STATIONS\_ADJOINT} list, we supply a sample program
-in \texttt{utils/adjoint\_sources/traveltime/xcreate\_adjsrc\_traveltime} to cut a certain portion of the original
-displacement seismograms and convert it into the proper adjoint source
-to compute the finite-frequency kernel.
+in \texttt{utils/adjoint\_sources/traveltime/xcreate\_adjsrc\_traveltime}
+to cut a certain portion of the original displacement seismograms
+and convert it into the proper adjoint source to compute the finite-frequency
+kernel.
+
\begin{lyxcode}
-xcreate\_adjsrc\_traveltime~t1~t2~ifile{[}0-5]~E/N/Z-ascii-files~{[}baz]
+xcreate\_adjsrc\_traveltime~t1~t2~ifile{[}0-5{]}~E/N/Z-ascii-files~{[}baz{]}
\end{lyxcode}
+
where \texttt{t1} and \texttt{t2} are the start and end time of the
portion you are interested in, \texttt{ifile} denotes the component
of the seismograms to be used (0 for all three components, 1 for East,
@@ -2453,71 +2613,75 @@
back-azimuth of the station. Note that \texttt{baz} is only supplied
when \texttt{ifile} = 4 or 5.
-\item Similarly, a sample program to compute adjoint sources for amplitude finite-frequency kernels
-may be found in \texttt{utils/adjoint\_sources/amplitude} and used in the same way as described for
-traveltime measurements
+\item Similarly, a sample program to compute adjoint sources for amplitude
+finite-frequency kernels may be found in \texttt{utils/adjoint\_sources/amplitude}
+and used in the same way as described for traveltime measurements
+
\begin{lyxcode}
-xcreate\_adjsrc\_amplitude~t1~t2~ifile{[}0-5]~E/N/Z-ascii-files~{[}baz].
+xcreate\_adjsrc\_amplitude~t1~t2~ifile{[}0-5{]}~E/N/Z-ascii-files~{[}baz{]}.
\end{lyxcode}
-
\end{itemize}
-
\item \textbf{Run the kernel simulation}
With the successful forward simulation and the adjoint source ready
-in the \texttt{OUTPUT\_FILES/SEM/} directory, set \texttt{SIMULATION\_TYPE = 3} and \texttt{SAVE\_FORWARD
-= .false.} in the \texttt{Par\_file} (you can use \texttt{change\_simulation\_type.pl -b}),
-and rerun the solver.
-
+in the \texttt{OUTPUT\_FILES/SEM/} directory, set \texttt{SIMULATION\_TYPE
+= 3} and \texttt{SAVE\_FORWARD = .false.} in the \texttt{Par\_file}
+(you can use \texttt{change\_simulation\_type.pl -b}), and rerun the
+solver.
\begin{itemize}
\item The adjoint simulation is launched together with the back reconstruction
of the original forward wavefield from the state variables saved from
the previous forward simulation, and the finite-frequency kernels
are computed by the interaction of the reconstructed forward wavefield
-and the adjoint wavefield.
+and the adjoint wavefield.
\item The back-reconstructed seismograms at the original station locations
are saved to the \texttt{LOCAL\_PATH} at the end of the kernel simulations,
-and can be collected to the local disk.
+and can be collected to the local disk.
\item These back-constructed seismograms can be compared with the time-reversed
original seismograms to assess the accuracy of the backward reconstruction,
-and they should match very well.
+and they should match very well.
\item The arrays for density, P-wave speed and S-wave speed kernels are
also saved in the \texttt{LOCAL\_PATH} with the names \texttt{proc??????\_rho(alpha,beta)\_kernel.bin},
where \texttt{proc??????} represents the processor number, \texttt{rho(alpha,beta)}
-are the different types of kernels.
+are the different types of kernels.
\end{itemize}
-
\item \textbf{Run the anisotropic kernel simulation}
+
Instead of the kernels for the isotropic wave speeds, you can also
compute the kernels for the 21 independent components $C_{IJ},\, I,J=1,...,6$
-(using Voigt's notation) of the elastic tensor in the cartesian coordinate system.
-This is done by setting \texttt{ANISOTROPIC\_KL} \texttt{=} \texttt{.true.}
-in \texttt{constants.h} before compiling the package. The definition of the parameters
-$C_{IJ}$ in terms of the corresponding components $c_{ijkl},ijkl,i,j,k,l=1,2,3$ of
-the elastic tensor in cartesian coordinates follows \citet{ChTr07}. The 21 anisotropic
-kernels are saved in the \texttt{LOCAL\_PATH} in one file with the name of
-\texttt{proc??????\_cijkl\_kernel.bin} (with \texttt{proc??????}
-the processor number). The output kernels correspond to absolute perturbations
-$\delta C_{IJ}$ of the elastic parameters and their unit is in $s/GPa/km^{3}$.
-For consistency, the output density kernels with this option turned on
-are for a perturbation $\delta\rho$ (and not $\frac{\delta\rho}{\rho}$) and their unit
-is in s / (kg/m$^{3}$) / km$^{3}$. These `primary' anisotropic kernels
-can then be combined to obtain the kernels for different parameterizations of anisotropy.
-This can be done, for example, when combining the kernel files from slices into one mesh file
-(see Section~\ref{sec:Finite-Frequency-Kernels}).
+(using Voigt's notation) of the elastic tensor in the cartesian coordinate
+system. This is done by setting \texttt{ANISOTROPIC\_KL} \texttt{=}
+\texttt{.true.} in \texttt{constants.h} before compiling the package.
+The definition of the parameters $C_{IJ}$ in terms of the corresponding
+components $c_{ijkl},ijkl,i,j,k,l=1,2,3$ of the elastic tensor in
+cartesian coordinates follows \citet{ChTr07}. The 21 anisotropic
+kernels are saved in the \texttt{LOCAL\_PATH} in one file with the
+name of \texttt{proc??????\_cijkl\_kernel.bin} (with \texttt{proc??????}
+the processor number). The output kernels correspond to absolute perturbations
+$\delta C_{IJ}$ of the elastic parameters and their unit is in $s/GPa/km^{3}$.
+For consistency, the output density kernels with this option turned
+on are for a perturbation $\delta\rho$ (and not $\frac{\delta\rho}{\rho}$)
+and their unit is in s / (kg/m$^{3}$) / km$^{3}$. These `primary'
+anisotropic kernels can then be combined to obtain the kernels for
+different parameterizations of anisotropy. This can be done, for example,
+when combining the kernel files from slices into one mesh file (see
+Section~\ref{sec:Finite-Frequency-Kernels}).
-If \texttt{ANISOTROPIC\_KL} \texttt{=} \texttt{.true.} by additionally setting \texttt{ANISOTROPIC\_KL}
-\texttt{=} \texttt{.true.} in \texttt{constants.h} the package will save anisotropic kernels paramterized
-as velocities related to transverse isotropy based on the the Chen and Tromp parameters \citet{ChTr07}.
-The kernels are saved as relative perturbations for horizontal and vertical P and S velocities, $\alpha_{v},
-\alpha_{h}, \beta_{v}, \beta_{h}$. Explicit relations can be found in appendix B. of \citet{SiLiTrTr07b}
-The anisotropic kernels are only currently available for CPU mode.
+If \texttt{ANISOTROPIC\_KL} \texttt{=} \texttt{.true.} by additionally
+setting \texttt{ANISOTROPIC\_KL} \texttt{=} \texttt{.true.} in \texttt{constants.h}
+the package will save anisotropic kernels paramterized as velocities
+related to transverse isotropy based on the the Chen and Tromp parameters
+\citet{ChTr07}. The kernels are saved as relative perturbations for
+horizontal and vertical P and S velocities, $\alpha_{v},\alpha_{h},\beta_{v},\beta_{h}$.
+Explicit relations can be found in appendix B. of \citet{SiLiTrTr07b}
+
+The anisotropic kernels are only currently available for CPU mode.
+
\end{enumerate}
-
In general, the three steps need to be run sequentially to assure
proper access to the necessary files. If the simulations are run through
some cluster scheduling system (e.g., LSF), and the forward simulation
@@ -2527,429 +2691,497 @@
this dilemma are provided in Chapter~\ref{cha:Scheduler}. Visualization
of the finite-frequency kernels is discussed in Section~\ref{sec:Finite-Frequency-Kernels}.
+
\chapter{Noise Cross-correlation Simulations}
-Besides earthquake simulations, SPECFEM3D Cartesian includes functionality for seismic noise tomography as well.
-In order to proceed successfully in this chapter, it is critical that you have already familiarized yourself
-with procedures for meshing (Chapter \ref{cha:Mesh-Generation}),
+Besides earthquake simulations, SPECFEM3D Cartesian includes functionality
+for seismic noise tomography as well. In order to proceed successfully
+in this chapter, it is critical that you have already familiarized
+yourself with procedures for meshing (Chapter \ref{cha:Mesh-Generation}),
creating distributed databases (Chapter \ref{cha:Creating-Distributed-Databases}),
running earthquake simulations (Chapters \ref{cha:Running-the-Solver})
and adjoint simulations (Chapter \ref{cha:Adjoint-Simulations}).
-Also, make sure you read the article `Noise cross-correlation sensitivity kernels' \citep{trompetal2010},
-in order to understand noise simulations from a theoretical perspective.
+Also, make sure you read the article `Noise cross-correlation sensitivity
+kernels' \citep{trompetal2010}, in order to understand noise simulations
+from a theoretical perspective.
+
\section{Input Parameter Files}
-As usual, the three main input files are crucial: \texttt{Par\_file}, \texttt{CMTSOLUTION} and \texttt{STATIONS}.
-Unless otherwise specified, those input files should be located in directory \texttt{DATA/}.\\
+As usual, the three main input files are crucial: \texttt{Par\_file},
+\texttt{CMTSOLUTION} and \texttt{STATIONS}. Unless otherwise specified,
+those input files should be located in directory \texttt{DATA/}.\\
-\texttt{CMTSOLUTION} is required for all simulations.
-At a first glance, it may seem unexpected to have it here,
-since the noise simulations should have nothing to do with the earthquake -- \texttt{CMTSOLUTION}.
+
+\texttt{CMTSOLUTION} is required for all simulations. At a first glance,
+it may seem unexpected to have it here, since the noise simulations
+should have nothing to do with the earthquake -- \texttt{CMTSOLUTION}.
However, for noise simulations, it is critical to have no earthquakes.
-In other words, the moment tensor specified in \texttt{CMTSOLUTION} must be set to zero manually!\\
+In other words, the moment tensor specified in \texttt{CMTSOLUTION}
+must be set to zero manually!\\
+
\texttt{STATIONS} remains the same as in previous earthquake simulations,
-except that the order of receivers listed in \texttt{STATIONS} is now important.
-The order will be used to determine the `master' receiver,
+except that the order of receivers listed in \texttt{STATIONS} is
+now important. The order will be used to determine the `master' receiver,
i.e., the one that simultaneously cross correlates with the others.\\
-\texttt{Par\_file} also requires careful attention.
-A parameter called \texttt{NOISE\_TOMOGRAPHY} has been added which specifies the type of simulation to be run.
-\texttt{NOISE\_TOMOGRAPHY} is an integer with possible values 0, 1, 2 and 3.
-For example, when \texttt{NOISE\_TOMOGRAPHY} equals 0, a regular earthquake simulation will be run.
-When it is 1/2/3, you are about to run
-step 1/2/3 of the noise simulations respectively.
-Should you be confused by the three steps, refer to \citet{trompetal2010} for details.\\
+\texttt{Par\_file} also requires careful attention. A parameter called
+\texttt{NOISE\_TOMOGRAPHY} has been added which specifies the type
+of simulation to be run. \texttt{NOISE\_TOMOGRAPHY} is an integer
+with possible values 0, 1, 2 and 3. For example, when \texttt{NOISE\_TOMOGRAPHY}
+equals 0, a regular earthquake simulation will be run. When it is
+1/2/3, you are about to run step 1/2/3 of the noise simulations respectively.
+Should you be confused by the three steps, refer to \citet{trompetal2010}
+for details.\\
+
+
Another change to \texttt{Par\_file} involves the parameter \texttt{NSTEP}.
-While for regular earthquake simulations this parameter specifies the length of synthetic seismograms generated,
-for noise simulations it specifies the length of the seismograms used to compute cross correlations.
+While for regular earthquake simulations this parameter specifies
+the length of synthetic seismograms generated, for noise simulations
+it specifies the length of the seismograms used to compute cross correlations.
The actual cross correlations are thus twice this length, i.e., $2~\mathrm{NSTEP}-1$.
-The code automatically makes the modification accordingly, if \texttt{NOISE\_TOMOGRAPHY} is not zero.\\
+The code automatically makes the modification accordingly, if \texttt{NOISE\_TOMOGRAPHY}
+is not zero.\\
-There are other parameters in \texttt{Par\_file} which should be given specific values.
-For instance, since the first two steps for calculating noise sensitivity kernels correspond to
-forward simulations, \texttt{SIMULATION\_TYPE} must be 1 when \texttt{NOISE\_TOMOGRAPHY} equals 1 or 2.
-Also, we have to reconstruct the ensemble forward wavefields in adjoint simulations,
-therefore we need to set \texttt{SAVE\_FORWARD} to \texttt{.true.} for the second step,
-i.e., when \texttt{NOISE\_TOMOGRAPHY} equals 2.
-The third step is for kernel constructions. Hence \texttt{SIMULATION\_TYPE} should be 3, whereas
-\texttt{SAVE\_FORWARD} must be \texttt{.false.}.\\
-Finally, for most system architectures,
-please make sure that \texttt{LOCAL\_PATH} in \texttt{Par\_file} is in fact local, not globally shared.
-Because we have to save the wavefields at the earth's surface at every time step,
-it is quite problematic to have a globally shared \texttt{LOCAL\_PATH},
+There are other parameters in \texttt{Par\_file} which should be given
+specific values. For instance, since the first two steps for calculating
+noise sensitivity kernels correspond to forward simulations, \texttt{SIMULATION\_TYPE}
+must be 1 when \texttt{NOISE\_TOMOGRAPHY} equals 1 or 2. Also, we
+have to reconstruct the ensemble forward wavefields in adjoint simulations,
+therefore we need to set \texttt{SAVE\_FORWARD} to \texttt{.true.}
+for the second step, i.e., when \texttt{NOISE\_TOMOGRAPHY} equals
+2. The third step is for kernel constructions. Hence \texttt{SIMULATION\_TYPE}
+should be 3, whereas \texttt{SAVE\_FORWARD} must be \texttt{.false.}.\\
+
+
+Finally, for most system architectures, please make sure that \texttt{LOCAL\_PATH}
+in \texttt{Par\_file} is in fact local, not globally shared. Because
+we have to save the wavefields at the earth's surface at every time
+step, it is quite problematic to have a globally shared \texttt{LOCAL\_PATH},
in terms of both disk storage and I/O speed.
\section{Noise Simulations: Step by Step}
-Proper parameters in those parameter files are not enough for noise simulations to run.
-We have more parameters to specify:
-for example, the ensemble-averaged noise spectrum, the noise distribution etc.
-However, since there are a few `new' files, it is better to introduce them sequentially.
-In this section, standard procedures for noise simulations are described.
+Proper parameters in those parameter files are not enough for noise
+simulations to run. We have more parameters to specify: for example,
+the ensemble-averaged noise spectrum, the noise distribution etc.
+However, since there are a few `new' files, it is better to introduce
+them sequentially. In this section, standard procedures for noise
+simulations are described.
+
\subsection{Pre-simulation}
-
\begin{itemize}
+\item As usual, we first configure the software package using:
-\item
-As usual, we first configure the software package using:
\texttt{./configure FC=ifort MPIFC=mpif90}
+
Use the following if SCOTCH is needed:
-\texttt{./configure FC=ifort MPIFC=mpif90 --with-scotch-dir=/opt/scotch}\\
+\texttt{./configure FC=ifort MPIFC=mpif90 -{}-with-scotch-dir=/opt/scotch}\\
-\item
-Next, we need to compile the source code using:
+\item Next, we need to compile the source code using:
+
+
\texttt{make xgenerate\_databases}
+
\texttt{make xspecfem3D} \\
-\item
-Before we can run noise simulations, we have to specify the noise statistics,
-e.g., the ensemble-averaged noise spectrum.
-Matlab scripts are provided to help you to generate the necessary file.
+\item Before we can run noise simulations, we have to specify the noise
+statistics, e.g., the ensemble-averaged noise spectrum. Matlab scripts
+are provided to help you to generate the necessary file.
-\texttt{examples/noise\_tomography/NOISE\_TOMOGRAPHY.m} (main program)\\
-\texttt{examples/noise\_tomography/PetersonNoiseModel.m}
+\texttt{examples/noise\_tomography/NOISE\_TOMOGRAPHY.m} (main program)\\
+ \texttt{examples/noise\_tomography/PetersonNoiseModel.m}
+
+
In Matlab, simply run:
+
\texttt{NOISE\_TOMOGRAPHY(NSTEP, DT, Tmin, Tmax, NOISE\_MODEL)}\\
-\texttt{DT} is given in \texttt{Par\_file},
-but \texttt{NSTEP} is NOT the one specified in \texttt{Par\_file}.
-Instead, you have to feed $2~\mathrm{NSTEP}-1$ to account for the doubled length of cross correlations.
-\texttt{Tmin} and \texttt{Tmax} correspond to the period range you are interested in,
-whereas \texttt{NOISE\_MODEL} denotes the noise model you will be using.
-Details can be found in the Matlab script.
-After running the Matlab script, you will be given the following information (plus a figure in Matlab):
-\texttt{*************************************************************}\\
-\texttt{the source time function has been saved in:}\\
-\texttt{/data2/yangl/3D\_NOISE/S\_squared} (note this path must be different)\\
-\texttt{S\_squared should be put into directory:}\\
-\texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/ in the SPECFEM3D Cartesian package}\\
+\texttt{DT} is given in \texttt{Par\_file}, but \texttt{NSTEP} is
+NOT the one specified in \texttt{Par\_file}. Instead, you have to
+feed $2~\mathrm{NSTEP}-1$ to account for the doubled length of cross
+correlations. \texttt{Tmin} and \texttt{Tmax} correspond to the period
+range you are interested in, whereas \texttt{NOISE\_MODEL} denotes
+the noise model you will be using. Details can be found in the Matlab
+script.
+
+After running the Matlab script, you will be given the following information
+(plus a figure in Matlab):
+
+
+\texttt{{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}}\\
+ \texttt{the source time function has been saved in:}\\
+ \texttt{/data2/yangl/3D\_NOISE/S\_squared} (note this path must be
+different)\\
+ \texttt{S\_squared should be put into directory:}\\
+ \texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/ in the SPECFEM3D Cartesian
+package}\\
+
+
+
In other words, the Matlab script creates a file called \texttt{S\_squared},
which is the first `new' input file we encounter for noise simulations.
-One may choose a flat noise spectrum rather than Peterson's noise model.
-This can be done easily by modifying the Matlab script a little.
-\item
-Create a new directory in the SPECFEM3D Cartesian package, name it as \texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/}.
-We will add some parameter files later in this folder.
+One may choose a flat noise spectrum rather than Peterson's noise
+model. This can be done easily by modifying the Matlab script a little.
-\item
-Put the Matlab-generated-file \texttt{S\_squared} in \texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/}.
+\item Create a new directory in the SPECFEM3D Cartesian package, name it
+as \texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/}. We will add some parameter
+files later in this folder.
+\item Put the Matlab-generated-file \texttt{S\_squared} in \texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/}.
-That's to say, you will have a file \texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/S\_squared} in the SPECFEM3D Cartesian package.
-\item
-Create a file called \texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/irec\_master\_noise}. Note that this file is located
-in directory \texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/} as well. In general, all noise simulation related parameter
-files go into that directory.
-\texttt{irec\_master\_noise} contains only one integer, which is the ID
-of the `master' receiver. For example, if this file contains 5, it means that the fifth receiver
-listed in \texttt{DATA/STATIONS} becomes the `master'. That's why we mentioned previously that
-the order of receivers in \texttt{DATA/STATIONS} is important.
+That's to say, you will have a file \texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/S\_squared}
+in the SPECFEM3D Cartesian package.
-Note that in regional simulations, the \texttt{DATA/STATIONS}
-might contain receivers which are outside of our computational domains.
-Therefore, the integer in \texttt{irec\_master\_noise}
-is actually the ID in \texttt{DATA/STATIONS\_FILTERED}
-(which is generated by \texttt{bin/xgenerate\_databases}).
+\item Create a file called \texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/irec\_master\_noise}.
+Note that this file is located in directory \texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/}
+as well. In general, all noise simulation related parameter files
+go into that directory. \texttt{irec\_master\_noise} contains only
+one integer, which is the ID of the `master' receiver. For example,
+if this file contains 5, it means that the fifth receiver listed in
+\texttt{DATA/STATIONS} becomes the `master'. That's why we mentioned
+previously that the order of receivers in \texttt{DATA/STATIONS} is
+important.
-\item
-Create a file called \texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/nu\_master}. This file holds three numbers,
-forming a (unit) vector. It describes which component we are cross-correlating at the `master'
-receiver, i.e., ${\hat{\bf \nu}}^{\alpha}$ in \citet{trompetal2010}.
-The three numbers correspond to E/N/Z components respectively.
-Most often, the vertical component is used, and in those cases the three numbers should be 0, 0 and 1.
-\item
-Describe the noise direction and distributions in \texttt{src/shared/noise\_tomography.f90}.
+Note that in regional simulations, the \texttt{DATA/STATIONS} might
+contain receivers which are outside of our computational domains.
+Therefore, the integer in \texttt{irec\_master\_noise} is actually
+the ID in \texttt{DATA/STATIONS\_FILTERED} (which is generated by
+\texttt{bin/xgenerate\_databases}).
+
+\item Create a file called \texttt{OUTPUT\_FILES/NOISE\_TOMOGRAPHY/nu\_master}.
+This file holds three numbers, forming a (unit) vector. It describes
+which component we are cross-correlating at the `master' receiver,
+i.e., ${\hat{{\bf \nu}}}^{\alpha}$ in \citet{trompetal2010}. The
+three numbers correspond to E/N/Z components respectively. Most often,
+the vertical component is used, and in those cases the three numbers
+should be 0, 0 and 1.
+\item Describe the noise direction and distributions in \texttt{src/shared/noise\_tomography.f90}.
Search for a subroutine called \texttt{noise\_distribution\_direction}
-in \texttt{noise\_tomography.f90}. It is actually located at the very beginning
-of \texttt{noise\_tomography.f90}. The default assumes vertical noise and a uniform distribution
-across the whole free surface of the model. It should be quite self-explanatory for modifications.
+in \texttt{noise\_tomography.f90}. It is actually located at the very
+beginning of \texttt{noise\_tomography.f90}. The default assumes vertical
+noise and a uniform distribution across the whole free surface of
+the model. It should be quite self-explanatory for modifications.
Should you modify this part, you have to re-compile the source code.
-
\end{itemize}
-
-
\subsection{Simulations}
With all of the above done, we can finally launch our simulations.
-Again, please make sure that the \texttt{LOCAL\_PATH} in \texttt{DATA/Par\_file} is not globally shared.
-It is quite problematic to have a globally shared \texttt{LOCAL\_PATH}, in terms of both disk storage and
-speed of I/O (we have to save the wavefields at the earth's surface at every time step).
+Again, please make sure that the \texttt{LOCAL\_PATH} in \texttt{DATA/Par\_file}
+is not globally shared. It is quite problematic to have a globally
+shared \texttt{LOCAL\_PATH}, in terms of both disk storage and speed
+of I/O (we have to save the wavefields at the earth's surface at every
+time step).
-As discussed in \citet{trompetal2010}, it takes three steps/simulations to obtain one contribution
-of the ensemble sensitivity kernels:
-
+As discussed in \citet{trompetal2010}, it takes three steps/simulations
+to obtain one contribution of the ensemble sensitivity kernels:
\begin{itemize}
-\item
-Step 1: simulation for generating wavefields\\
-\texttt{SIMULATION\_TYPE=1}\\
-\texttt{NOISE\_TOMOGRAPHY=1}\\
-\texttt{SAVE\_FORWARD} not used, can be either .true. or .false.
+\item Step 1: simulation for generating wavefields\\
+ \texttt{SIMULATION\_TYPE=1}\\
+ \texttt{NOISE\_TOMOGRAPHY=1}\\
+ \texttt{SAVE\_FORWARD} not used, can be either .true. or .false.
+\item Step 2: simulation for ensemble forward wavefields\\
+ \texttt{SIMULATION\_TYPE=1}\\
+ \texttt{NOISE\_TOMOGRAPHY=2}\\
+ \texttt{SAVE\_FORWARD=.true.}
+\item Step 3: simulation for ensemble adjoint wavefields and sensitivity
+kernels\\
+ \texttt{SIMULATION\_TYPE=3}\\
+ \texttt{NOISE\_TOMOGRAPHY=3}\\
+ \texttt{SAVE\_FORWARD=.false.}
-\item
-Step 2: simulation for ensemble forward wavefields\\
-\texttt{SIMULATION\_TYPE=1}\\
-\texttt{NOISE\_TOMOGRAPHY=2}\\
-\texttt{SAVE\_FORWARD=.true.}
-\item
-Step 3: simulation for ensemble adjoint wavefields and sensitivity kernels\\
-\texttt{SIMULATION\_TYPE=3}\\
-\texttt{NOISE\_TOMOGRAPHY=3}\\
-\texttt{SAVE\_FORWARD=.false.}
+Note Step 3 is an adjoint simulation, please refer to previous chapters
+on how to prepare adjoint sources and other necessary files, as well
+as how adjoint simulations work.
-Note Step 3 is an adjoint simulation, please refer to previous chapters on how to prepare adjoint sources
-and other necessary files, as well as how adjoint simulations work.
-
\end{itemize}
+Note that it is better to run the three steps continuously within
+the same job, otherwise you have to collect the saved surface movies
+from the old nodes/CPUs to the new nodes/CPUs. This process varies
+from cluster to cluster and thus cannot be discussed here. Please
+ask your cluster administrator for information/configuration of the
+cluster you are using.\\
-Note that it is better to run the three steps continuously within the same job,
-otherwise you have to collect the saved surface movies from the old nodes/CPUs to the new nodes/CPUs.
-This process varies from cluster to cluster and thus cannot be discussed here.
-Please ask your cluster administrator for information/configuration of the cluster you are using.\\
+
\subsection{Post-simulation}
-After those simulations, you have all stuff you need, either in the \texttt{OUTPUT\_FILES/} or
-in the directory specified by \texttt{LOCAL\_PATH} in \texttt{DATA/Par\_file}
-(which are most probably on local nodes).
-Collect whatever you want from the local nodes to your workstation, and then visualize them.
-This process is the same as what you may have done for regular earthquake simulations.
-Refer to other chapters if you have problems.\\
+After those simulations, you have all stuff you need, either in the
+\texttt{OUTPUT\_FILES/} or in the directory specified by \texttt{LOCAL\_PATH}
+in \texttt{DATA/Par\_file} (which are most probably on local nodes).
+Collect whatever you want from the local nodes to your workstation,
+and then visualize them. This process is the same as what you may
+have done for regular earthquake simulations. Refer to other chapters
+if you have problems.\\
-Simply speaking, two outputs are the most interesting: the simulated ensemble cross correlations and
-one contribution of the ensemble sensitivity kernels.\\
-The simulated ensemble cross correlations are obtained after the second simulation (Step 2).
-Seismograms in \texttt{OUTPUT\_FILES/} are actually the simulated ensemble cross correlations.
-Collect them immediately after Step 2, or the Step 3 will overwrite them.
-Note that we have a `master' receiver specified by \texttt{irec\_master\_noise},
-the seismogram at one station corresponds to the cross correlation between that station and the `master'.
-Since the seismograms have three components, we may obtain cross correlations
-for different components as well, not necessarily the cross correlations between vertical components.\\
+Simply speaking, two outputs are the most interesting: the simulated
+ensemble cross correlations and one contribution of the ensemble sensitivity
+kernels.\\
-One contribution of the ensemble cross-correlation sensitivity kernels are obtained after Step 3,
-stored in the \texttt{DATA/LOCAL\_PATH} on local nodes.
-The ensemble kernel files are named the same as regular earthquake kernels.\\
-You need to run another three simulations to get the other contribution of the ensemble kernels,
-using different forward and adjoint sources given in \citet{trompetal2010}.
+The simulated ensemble cross correlations are obtained after the second
+simulation (Step 2). Seismograms in \texttt{OUTPUT\_FILES/} are actually
+the simulated ensemble cross correlations. Collect them immediately
+after Step 2, or the Step 3 will overwrite them. Note that we have
+a `master' receiver specified by \texttt{irec\_master\_noise}, the
+seismogram at one station corresponds to the cross correlation between
+that station and the `master'. Since the seismograms have three components,
+we may obtain cross correlations for different components as well,
+not necessarily the cross correlations between vertical components.\\
+
+One contribution of the ensemble cross-correlation sensitivity kernels
+are obtained after Step 3, stored in the \texttt{DATA/LOCAL\_PATH}
+on local nodes. The ensemble kernel files are named the same as regular
+earthquake kernels.\\
+
+
+You need to run another three simulations to get the other contribution
+of the ensemble kernels, using different forward and adjoint sources
+given in \citet{trompetal2010}.
+
+
\section{Example}
-In order to illustrate noise simulations in an easy way, one example is provided in \texttt{examples/noise\_tomography/}.
-See \texttt{examples/noise\_tomography/README} for explanations. \\
+In order to illustrate noise simulations in an easy way, one example
+is provided in \texttt{examples/noise\_tomography/}. See \texttt{examples/noise\_tomography/README}
+for explanations. \\
+
Note, however, that they are created for a specific workstation (CLOVER at PRINCETON),
which has at least 4 cores with `mpif90' working properly. \\
-If your workstation is suitable, you can run the example in \texttt{examples/noise\_tomography/} using:\\
+If your workstation is suitable, you can run the example in \texttt{examples/noise\_tomography/}
+using:\\
+
+
\texttt{./pre-processing.sh}\\
-Even if this script does not work on your workstation, the procedure it describes is universal.
-You may review the whole process described in the last section by following the commands in \texttt{pre-processing.sh},
+
+Even if this script does not work on your workstation, the procedure
+it describes is universal. You may review the whole process described
+in the last section by following the commands in \texttt{pre-processing.sh},
which should contain enough explanations for all the commands.
+
\chapter{Graphics}
\section{\label{sec:Mesh-graphics}Meshes}
-In case you used the internal mesher \texttt{xmeshfem3D} to create and partition your mesh,
-you can output mesh files in ABAQUS (.INP) and DX (.dx) format to visualize them. For this, you must set either the
-flag \texttt{CREATE\_DX\_FILES} or \texttt{CREATE\_ABAQUS\_FILES} to \texttt{.true.}
-in the mesher's parameter file \texttt{Mesh\_Par\_file}
-prior to running the mesher (see Chapter~\ref{cha:Running-the-Mesher-Meshfem3D} for details).
-You can then use AVS \urlwithparentheses{www.avs.com} or OpenDX \urlwithparentheses{www.opendx.org}
-to visualize the mesh and MPI partition (slices).
+In case you used the internal mesher \texttt{xmeshfem3D} to create
+and partition your mesh, you can output mesh files in ABAQUS (.INP)
+and DX (.dx) format to visualize them. For this, you must set either
+the flag \texttt{CREATE\_DX\_FILES} or \texttt{CREATE\_ABAQUS\_FILES}
+to \texttt{.true.} in the mesher's parameter file \texttt{Mesh\_Par\_file}
+prior to running the mesher (see Chapter~\ref{cha:Running-the-Mesher-Meshfem3D}
+for details). You can then use AVS \urlwithparentheses{www.avs.com}
+or OpenDX \urlwithparentheses{www.opendx.org} to visualize the mesh
+and MPI partition (slices).
\begin{figure}[htbp]
\noindent \begin{centering}
-\includegraphics[width=.49\textwidth]{figures/vtk_mesh_vp.jpg}
-\includegraphics[width=.49\textwidth]{figures/vtk_mesh_vs.jpg}
+\includegraphics[width=0.49\textwidth]{figures/vtk_mesh_vp} \includegraphics[width=0.49\textwidth]{figures/vtk_mesh_vs}
\par\end{centering}
-\caption{Visualization using Paraview of VTK files created by \texttt{xgenerate\_databases} showing P- and S-wave velocities assigned to the mesh points. The mesh was created by \texttt{xmeshfem3D} for 4 processors.}
+\caption{Visualization using Paraview of VTK files created by \texttt{xgenerate\_databases}
+showing P- and S-wave velocities assigned to the mesh points. The
+mesh was created by \texttt{xmeshfem3D} for 4 processors.}
-\label{fig:vtk.mesh}
+
+\label{fig:vtk.mesh}
\end{figure}
-You have also the option to visualize the distributed databases produced by \texttt{xgenerate\_databases}
-using Paraview \urlwithparentheses{www.paraview.org}. For this, you must set the flag \texttt{SAVE\_MESH\_FILES} to \texttt{.true.}
-in the main parameter file \texttt{Par\_file} (see Chapter~\ref{cha:Main-Parameter} for details).
-This will create VTK files for each single partition. You can then use Paraview \urlwithparentheses{www.paraview.org} to visualized these partitions.
+You have also the option to visualize the distributed databases produced
+by \texttt{xgenerate\_databases} using Paraview \urlwithparentheses{www.paraview.org}.
+For this, you must set the flag \texttt{SAVE\_MESH\_FILES} to \texttt{.true.}
+in the main parameter file \texttt{Par\_file} (see Chapter~\ref{cha:Main-Parameter}
+for details). This will create VTK files for each single partition.
+You can then use Paraview \urlwithparentheses{www.paraview.org}
+to visualized these partitions.
\section{\label{sec:Movies}Movies}
To make a surface or volume movie of the simulation, set parameters
-\texttt{MOVIE\_SURFACE}, \texttt{MOVIE\_VOLUME}, \texttt{MOVIE\_TYPE}, and \texttt{NTSTEP\_BETWEEN\_FRAMES}
-in the \texttt{Par\_file}. Turning on the movie flags, in particular
-\texttt{MOVIE\_VOLUME}, produces large output files. \texttt{MOVIE\_VOLUME}
-files are saved in the \texttt{LOCAL\_PATH} directory, whereas \texttt{MOVIE\_SURFACE}
-output files are saved in the \texttt{OUTPUT\_FILES} directory. We
-save the displacement field if the parameter \texttt{SAVE\_DISPLACEMENT} is set, otherwise the velocity field is saved.
-The look of a movie is determined by the
-half-duration of the source. The half-duration should be large enough
-so that the movie does not contain frequencies that are not resolved
-by the mesh, i.e., it should not contain numerical noise. This can
-be accomplished by selecting a CMT \texttt{HALF\_DURATION} > 1.1 $\times$
-smallest period (see figure \ref{fig:CMTSOLUTION-file}). When \texttt{MOVIE\_SURFACE}
-= .\texttt{true.}, the half duration of each source in the \texttt{CMTSOLUTION}
-file is replaced by
-
+\texttt{MOVIE\_SURFACE}, \texttt{MOVIE\_VOLUME}, \texttt{MOVIE\_TYPE},
+and \texttt{NTSTEP\_BETWEEN\_FRAMES} in the \texttt{Par\_file}. Turning
+on the movie flags, in particular \texttt{MOVIE\_VOLUME}, produces
+large output files. \texttt{MOVIE\_VOLUME} files are saved in the
+\texttt{LOCAL\_PATH} directory, whereas \texttt{MOVIE\_SURFACE} output
+files are saved in the \texttt{OUTPUT\_FILES} directory. We save the
+displacement field if the parameter \texttt{SAVE\_DISPLACEMENT} is
+set, otherwise the velocity field is saved. The look of a movie is
+determined by the half-duration of the source. The half-duration should
+be large enough so that the movie does not contain frequencies that
+are not resolved by the mesh, i.e., it should not contain numerical
+noise. This can be accomplished by selecting a CMT \texttt{HALF\_DURATION}
+> 1.1 $\times$ smallest period (see figure \ref{fig:CMTSOLUTION-file}).
+When \texttt{MOVIE\_SURFACE} = .\texttt{true.}, the half duration
+of each source in the \texttt{CMTSOLUTION} file is replaced by
\begin{quote}
\[
-\sqrt{(}\mathrm{\mathtt{HALF\_DURATIO}\mathtt{N}^{2}}+\mathrm{\mathtt{HDUR\_MOVI}\mathtt{E}^{2}})\]
-\textbf{NOTE:} If \texttt{HDUR\_MOVIE} is set to 0.0, the code will
+\sqrt{(}\mathrm{\mathtt{HALF\_DURATIO}\mathtt{N}^{2}}+\mathrm{\mathtt{HDUR\_MOVI}\mathtt{E}^{2}})
+\]
+ \textbf{NOTE:} If \texttt{HDUR\_MOVIE} is set to 0.0, the code will
select the appropriate value of 1.1 $\times$ smallest period. As
usual, for a point source one can set \texttt{half duration} in the
-\texttt{CMTSOLUTION} file to be 0.0 and \texttt{HDUR\_MOVIE} = 0.0 in the \texttt{Par\_file} to get
-the highest frequencies resolved by the simulation, but for a finite
-source one would keep all the \texttt{half durations} as prescribed
-by the finite source model and set \texttt{HDUR\_MOVIE} = 0.0.
+\texttt{CMTSOLUTION} file to be 0.0 and \texttt{HDUR\_MOVIE} = 0.0
+in the \texttt{Par\_file} to get the highest frequencies resolved
+by the simulation, but for a finite source one would keep all the
+\texttt{half durations} as prescribed by the finite source model and
+set \texttt{HDUR\_MOVIE} = 0.0.
\end{quote}
\subsection{Movie Surface}
When running \texttt{xspecfem3D} with the \texttt{MOVIE\_SURFACE}
flag turned on, the code outputs \texttt{moviedata??????} files in
-the \texttt{OUTPUT\_FILES} directory. There are several flags
-in the main parameter file \texttt{Par\_file} that control the output of these movie data files
-(see section \ref{cha:Main-Parameter} for details):
-\texttt{\small NTSTEP\_BETWEEN\_FRAMES} to set the timesteps between frames,
-\texttt{\small SAVE\_DISPLACEMENT} to save displacement instead of velocity,
-\texttt{USE\_HIGHRES\_FOR\_MOVIES} to save values at all GLL point instead of element edges.
-In order to output additionally shakemaps, you would set
-the parameter \texttt{CREATE\_SHAKEMAP} to \texttt{.true.}.
+the \texttt{OUTPUT\_FILES} directory. There are several flags in the
+main parameter file \texttt{Par\_file} that control the output of
+these movie data files (see section \ref{cha:Main-Parameter} for
+details): \texttt{\small NTSTEP\_BETWEEN\_FRAMES}{\small{} to set the
+timesteps between frames, }\texttt{\small SAVE\_DISPLACEMENT}{\small{}
+to save displacement instead of velocity, }\texttt{\small USE\_HIGHRES\_FOR\_MOVIES}{\small{}
+to save values at all GLL point instead of element edges. In order
+to output additionally shakemaps, you would set the parameter }\texttt{\small CREATE\_SHAKEMAP}{\small{}
+to }\texttt{\small .true.}{\small .}{\small \par}
-The files are in a fairly complicated
-binary format, but there is a program provided to convert the
-output into more user friendly formats:
+The files are in a fairly complicated binary format, but there is
+a program provided to convert the output into more user friendly formats:
\begin{description}
-\item [\texttt{xcreate\_movie\_shakemap\_AVS\_DX\_GMT}]
-From \texttt{create\_movie\_shakemap\_AVS\_DX\_GMT.f90}, it
-outputs data in ASCII, OpenDX, or AVS format (also readable in ParaView).
-Before compiling the code, make sure you have the file \texttt{surface\_from\_mesher.h}
-in the \texttt{OUTPUT\_FILES/} directory. This file will be created by the solver run.
-Then type
+\item [{\texttt{xcreate\_movie\_shakemap\_AVS\_DX\_GMT}}] From \texttt{create\_movie\_shakemap\_AVS\_DX\_GMT.f90},
+it outputs data in ASCII, OpenDX, or AVS format (also readable in
+ParaView). Before compiling the code, make sure you have the file
+\texttt{surface\_from\_mesher.h} in the \texttt{OUTPUT\_FILES/} directory.
+This file will be created by the solver run. Then type
+
\begin{lyxcode}
-{\footnotesize make xcreate\_movie\_shakemap\_AVS\_DX\_GMT}{\footnotesize \par}
+{\footnotesize make~xcreate\_movie\_shakemap\_AVS\_DX\_GMT}{\footnotesize \par}
\end{lyxcode}
+
and run the executable \texttt{xcreate\_movie\_shakemap\_AVS\_DX\_GMT}
-in the \texttt{bin/} subdirectory. It will create visualization files in your format of choice. The code
-will prompt the user for input parameters.
+in the \texttt{bin/} subdirectory. It will create visualization files
+in your format of choice. The code will prompt the user for input
+parameters.
+
\begin{figure}[htbp]
\noindent \begin{centering}
-\includegraphics[width=.32\textwidth]{figures/movie_surf_1.jpg}
-\includegraphics[width=.32\textwidth]{figures/movie_surf_2.jpg}
-\includegraphics[width=.32\textwidth]{figures/movie_surf_3.jpg}
+\includegraphics[width=0.32\textwidth]{figures/movie_surf_1} \includegraphics[width=0.32\textwidth]{figures/movie_surf_2}
+\includegraphics[width=0.32\textwidth]{figures/movie_surf_3}
\par\end{centering}
-\caption{Visualization using AVS files created by \texttt{xcreate\_movie\_shakemap\_AVS\_DX\_GMT} showing
-movie snapshots of vertical velocity components at different times.}
+\caption{Visualization using AVS files created by \texttt{xcreate\_movie\_shakemap\_AVS\_DX\_GMT}
+showing movie snapshots of vertical velocity components at different
+times.}
-\label{fig:movie.surf}
+
+\label{fig:movie.surf}
\end{figure}
+
\end{description}
+The \texttt{SPECFEM3D Cartesian} code is running in near real-time
+to produce animations of southern California earthquakes via the web;
+see Southern California ShakeMovie\textregistered{}\urlwithparentheses{www.shakemovie.caltech.edu}.
-The \texttt{SPECFEM3D Cartesian} code is running in near real-time to produce
-animations of southern California earthquakes via the web; see Southern California ShakeMovie\textregistered \urlwithparentheses{www.shakemovie.caltech.edu}.
\subsection{\label{sub:Movie-Volume}Movie Volume}
-When running xspecfem3D with the \texttt{\small MOVIE\_VOLUME} flag
-turned on, the code outputs several files in \texttt{\small LOCAL\_PATH} specified in the main
-\texttt{Par\_file}, e.g. in directory \texttt{OUTPUT\_FILES/DATABASES\_MPI}.
-%As the files can be very large, there are several flags in the \texttt{\small Par\_file}
+When running xspecfem3D with the \texttt{\small MOVIE\_VOLUME}{\small{}
+flag turned on, the code outputs several files in }\texttt{\small LOCAL\_PATH}{\small{}
+specified in the main }\texttt{\small Par\_file}{\small , e.g. in
+directory }\texttt{\small OUTPUT\_FILES/DATABASES\_MPI}{\small . %As the files can be very large, there are several flags in the \texttt{\small Par\_file}
%that control the region in space and time that is saved. These are:
%\texttt{\small NTSTEP\_BETWEEN\_FRAMES}
-The output is saved by each processor
-at the time interval specified by \texttt{\small NTSTEP\_BETWEEN\_FRAMES}.
-For all domains, the velocity field is output to files:
-\texttt{\small proc??????\_velocity\_X\_it??????.bin},
-\texttt{\small proc??????\_velocity\_Y\_it??????.bin} and
-\texttt{\small proc??????\_velocity\_Z\_it??????.bin}.
-For elastic domains, the divergence and curl taken from the velocity field, i.e. $\nabla \cdot \bf{v}$
-and $\nabla \times \bf{v}$, get stored as well:
-\texttt{\small proc??????\_div\_it??????.bin},
-\texttt{\small proc??????\_curl\_X\_t??????.bin},
-\texttt{\small proc??????\_curl\_Y\_it??????.bin} and
-\texttt{\small proc??????\_curl\_Z\_it??????.bin}.
-The files denoted
-\texttt{\small proc??????\_div\_}~\\
-\texttt{\small glob\_it??????.bin} and
-\texttt{\small proc??????\_curl\_glob\_it??????.bin}
-are stored on the global points only, all the other arrays
-are stored on all GLL points. Note that the components X/Y/Z can change to E/N/Z according to
-the \texttt{SUPPRESS\_UTM\_PROJECTION} flag (see also Appendix~\ref{cha:Coordinates} and \ref{cha:channel-codes}).
+The output is saved by each processor at the time interval specified
+by }\texttt{\small NTSTEP\_BETWEEN\_FRAMES}{\small . For all domains,
+the velocity field is output to files: }\texttt{\small proc??????\_velocity\_X\_it??????.bin}{\small ,
+}\texttt{\small proc??????\_velocity\_Y\_it??????.bin}{\small{} and
+}\texttt{\small proc??????\_velocity\_Z\_it??????.bin}{\small . For
+elastic domains, the divergence and curl taken from the velocity field,
+i.e. $\nabla\cdot{\bf {v}}$ and $\nabla\times{\bf {v}}$, get stored
+as well: }\texttt{\small proc??????\_div\_it??????.bin}{\small , }\texttt{\small proc??????\_curl\_X\_t??????.bin}{\small ,
+}\texttt{\small proc??????\_curl\_Y\_it??????.bin}{\small{} and }\texttt{\small proc??????\_curl\_Z\_it??????.bin}{\small .
+The files denoted }\texttt{\small proc??????\_div\_}{\small ~}\\
+{\small{} }\texttt{\small glob\_it??????.bin}{\small{} and }\texttt{\small proc??????\_curl\_glob\_it??????.bin}{\small{}
+are stored on the global points only, all the other arrays are stored
+on all GLL points. Note that the components X/Y/Z can change to E/N/Z
+according to the }\texttt{\small SUPPRESS\_UTM\_PROJECTION}{\small{}
+flag (see also Appendix~\ref{cha:Coordinates} and \ref{cha:channel-codes}).}{\small \par}
-
\begin{figure}[htbp]
\noindent \begin{centering}
-\includegraphics[width=.32\textwidth]{figures/movie_volume_1.jpg}
-\includegraphics[width=.32\textwidth]{figures/movie_volume_2.jpg}
-\includegraphics[width=.32\textwidth]{figures/movie_volume_3.jpg}
+\includegraphics[width=0.32\textwidth]{figures/movie_volume_1} \includegraphics[width=0.32\textwidth]{figures/movie_volume_2}
+\includegraphics[width=0.32\textwidth]{figures/movie_volume_3}
\par\end{centering}
-\caption{Paraview visualization using movie volume files (converted by \texttt{xcombine\_vol\_data} and \texttt{mesh2vtu.pl}) and showing
-snapshots of vertical velocity components at different times.}
+\caption{Paraview visualization using movie volume files (converted by \texttt{xcombine\_vol\_data}
+and \texttt{mesh2vtu.pl}) and showing snapshots of vertical velocity
+components at different times.}
-\label{fig:movie.volume}
+
+\label{fig:movie.volume}
\end{figure}
+
To visualize these files, we use an auxilliary program \texttt{combine\_vol\_data.f90}
-to combine the data from all slices into one mesh file. To compile it in the root directory, type:
+to combine the data from all slices into one mesh file. To compile
+it in the root directory, type:
\begin{lyxcode}
{\footnotesize make~xcombine\_vol\_data~}{\footnotesize \par}
\end{lyxcode}
-which will create the executable \texttt{xcombine\_vol\_data} in the directory \texttt{bin/}. To output the
-usage of this executable, type `./bin/xcombine\_vol\_data` without arguments.
-As an example, to run the executable you would use
+which will create the executable \texttt{xcombine\_vol\_data} in the
+directory \texttt{bin/}. To output the usage of this executable, type
+`./bin/xcombine\_vol\_data` without arguments. As an example, to run
+the executable you would use
\begin{lyxcode}
{\footnotesize cd~bin/~}{\footnotesize \par}
-{\footnotesize ./xcombine\_vol\_data~0~3~velocity\_Z\_it000400~../OUTPUT\_FILES/DATABASES\_MPI~../OUTPUT\_FILES~0~}{\footnotesize \par}
+
+~{\footnotesize ./xcombine\_vol\_data~0~3~velocity\_Z\_it000400~../OUTPUT\_FILES/DATABASES\_MPI~../OUTPUT\_FILES~0~}{\footnotesize \par}
\end{lyxcode}
-to create a low-resolution mesh file. The output mesh file will have the name \texttt{velocity\_Z\_it000400.mesh}.
-We next convert the \texttt{.mesh} file into the VTU (Unstructured
-grid file) format which can be viewed in ParaView. For this task, you can use and modify the script \texttt{mesh2vtu.pl}
-located in directory \texttt{utils/Visualization/Paraview/}, for example:
+to create a low-resolution mesh file. The output mesh file will have
+the name \texttt{velocity\_Z\_it000400.mesh}. We next convert the
+\texttt{.mesh} file into the VTU (Unstructured grid file) format which
+can be viewed in ParaView. For this task, you can use and modify the
+script \texttt{mesh2vtu.pl} located in directory \texttt{utils/Visualization/Paraview/},
+for example:
\begin{lyxcode}
{\footnotesize mesh2vtu.pl~-i~velocity\_Z\_it000400.mesh~-o~velocity\_Z\_it000400.vtu}{\footnotesize \par}
\end{lyxcode}
Notice that this Perl script uses a program \texttt{mesh2vtu} in the
-\texttt{utils/Visualization/Paraview/mesh2vtu} directory, which further uses the VTK \urlwithparentheses{http://www.vtk.org/}
-run-time library for its execution. Therefore, make sure you have
-them properly set in the script according to your system.
+\texttt{utils/Visualization/Paraview/mesh2vtu} directory, which further
+uses the VTK \urlwithparentheses{http://www.vtk.org/} run-time library
+for its execution. Therefore, make sure you have them properly set
+in the script according to your system.
-
-
\section{\label{sec:Finite-Frequency-Kernels}Finite-Frequency Kernels}
The finite-frequency kernels computed as explained in Section \ref{sec:Adjoint-simulation-finite}
@@ -2957,7 +3189,6 @@
Therefore, we first need to collect these files on the front end,
combine them into one mesh file, and visualize them with some auxilliary
programs.
-
\begin{enumerate}
\item \textbf{Create slice files}
@@ -2970,53 +3201,53 @@
circle path, it is sufficient to collect only the slices that are
along or close to the great circle path.
-A Perl script \texttt{slice\_number.pl} located in directory \texttt{utils/Visualization/Paraview/} can
-help to figure out the slice numbers that lie along the great circle
-path. It applies to meshes created with the internal mesher \texttt{xmeshfem3D}.
-
+A Perl script \texttt{slice\_number.pl} located in directory \texttt{utils/Visualization/Paraview/}
+can help to figure out the slice numbers that lie along the great
+circle path. It applies to meshes created with the internal mesher
+\texttt{xmeshfem3D}.
\begin{enumerate}
-\item On machines where you have access to the script, copy the \texttt{Mesh\_Par\_file}, and
-\texttt{output\_solver} files, and run:
+\item On machines where you have access to the script, copy the \texttt{Mesh\_Par\_file},
+and \texttt{output\_solver} files, and run:
\begin{lyxcode}
{\small slice\_number.pl~Mesh\_Par\_file~output\_solver.txt~slice\_file}{\small \par}
\end{lyxcode}
+
which will generate a \texttt{slices\_file}.
\item For cases with multiple sources and multiple receivers, you need to
-provide a slice file before proceeding to the next step.
+provide a slice file before proceeding to the next step.
\end{enumerate}
\item \textbf{Collect the kernel files}
After obtaining the slice files, you can collect the corresponding
kernel files from the given slices.
-
\begin{enumerate}
\item You can use or modify the script \texttt{utils/copy\_basin\_database.pl}
to accomplish this:
\begin{lyxcode}
-{\small utils/copy\_database.pl~slice\_file~lsf\_machine\_file~filename~{[}jobid]}{\small \par}
+{\small utils/copy\_database.pl~slice\_file~lsf\_machine\_file~filename~{[}jobid{]}}{\small \par}
\end{lyxcode}
-where \texttt{\small lsf\_machine\_file} is the machine file generated
-by the LSF scheduler, \texttt{\small filename} is the kernel name
-(e.g., \texttt{\small rho\_kernel}, \texttt{\small alpha\_kernel}
-and \texttt{\small beta\_kernel}), and the optional \texttt{\small jobid}
-is the name of the subdirectory under \texttt{\small LOCAL\_PATH}
-where all the kernel files are stored.
+where \texttt{\small lsf\_machine\_file}{\small{} is the machine file
+generated by the LSF scheduler, }\texttt{\small filename}{\small{}
+is the kernel name (e.g., }\texttt{\small rho\_kernel}{\small , }\texttt{\small alpha\_kernel}{\small{}
+and }\texttt{\small beta\_kernel}{\small ), and the optional }\texttt{\small jobid}{\small{}
+is the name of the subdirectory under }\texttt{\small LOCAL\_PATH}{\small{}
+where all the kernel files are stored.}{\small \par}
+
\item After executing this script, all the necessary mesh topology files
as well as the kernel array files are collected to the local directory
-of the front end.
+of the front end.
\end{enumerate}
\item \textbf{Combine kernel files into one mesh file}
-We use an auxilliary program \texttt{combine\_vol\_data.f90}
-to combine the kernel files from all slices into one mesh file.
-
+We use an auxilliary program \texttt{combine\_vol\_data.f90} to combine
+the kernel files from all slices into one mesh file.
\begin{enumerate}
\item Compile it in the root directory:
@@ -3025,76 +3256,77 @@
{\footnotesize ./bin/xcombine\_vol\_data~slice\_list~filename~input\_dir~output\_dir~high/low-resolution~}{\footnotesize \par}
\end{lyxcode}
+
where \texttt{input\_dir} is the directory where all the individual
kernel files are stored, and \texttt{output\_dir} is where the mesh
file will be written.
\item Use 1 for a high-resolution mesh, outputting all the GLL points to
the mesh file, or use 0 for low resolution, outputting only the corner
-points of the elements to the mesh file.
-\item The output mesh file will have the name \texttt{filename\_rho(alpha,beta).mesh}
+points of the elements to the mesh file.
+\item The output mesh file will have the name \texttt{filename\_rho(alpha,beta).mesh}
\end{enumerate}
\item \textbf{Convert mesh files into .vtu files}
\begin{enumerate}
\item We next convert the \texttt{.mesh} file into the VTU (Unstructured
-grid file) format which can be viewed in ParaView. For this task, you can use and modify the script \texttt{mesh2vtu.pl}
-located in directory \texttt{utils/Visualization/Paraview/}, for example:
+grid file) format which can be viewed in ParaView. For this task,
+you can use and modify the script \texttt{mesh2vtu.pl} located in
+directory \texttt{utils/Visualization/Paraview/}, for example:
\begin{lyxcode}
{\footnotesize mesh2vtu.pl~-i~file.mesh~-o~file.vtu~}{\footnotesize \par}
\end{lyxcode}
\item Notice that this Perl script uses a program \texttt{mesh2vtu} in the
-\texttt{utils/Visualization/Paraview/mesh2vtu} directory, which further uses the VTK \urlwithparentheses{http://www.vtk.org/}
-run-time library for its execution. Therefore, make sure you have
-them properly set in the script according to your system.
+\texttt{utils/Visualization/Paraview/mesh2vtu} directory, which further
+uses the VTK \urlwithparentheses{http://www.vtk.org/} run-time library
+for its execution. Therefore, make sure you have them properly set
+in the script according to your system.
\end{enumerate}
\item \textbf{Copy over the source and receiver .vtk file}
In the case of a single source and a single receiver, the simulation
-also generates the file \texttt{sr.vtk} located in the
-\texttt{OUTPUT\_FILES/} directory to describe
-the source and receiver locations, which can also be viewed in Paraview
-in the next step.
+also generates the file \texttt{sr.vtk} located in the \texttt{OUTPUT\_FILES/}
+directory to describe the source and receiver locations, which can
+also be viewed in Paraview in the next step.
\item \textbf{View the mesh in ParaView}
Finally, we can view the mesh in ParaView \urlwithparentheses{www.paraview.org}.
-
\begin{enumerate}
-\item Open ParaView.
+\item Open ParaView.
\item From the top menu, \textsf{File} $\rightarrow$\textsf{Open data},
select \texttt{file.vtu}, and click the \textsf{Accept} button.
\begin{itemize}
\item If the mesh file is of moderate size, it shows up on the screen; otherwise,
-only the bounding box is shown.
+only the bounding box is shown.
\end{itemize}
\item Click \textsf{Display Tab} $\rightarrow$ \textsf{Display Style} $\rightarrow$
\textsf{Representation} and select \textsf{wireframe of surface} to
-display it.
+display it.
\item To create a cross-section of the volumetric mesh, choose \textsf{Filter}
$\rightarrow$ \textsf{cut}, and under \textsf{Parameters Tab}, choose
-\textsf{Cut Function} $\rightarrow$ \textsf{plane}.
+\textsf{Cut Function} $\rightarrow$ \textsf{plane}.
\item Fill in center and normal information given by the \texttt{global\_slice\_number.pl}
script (either from the standard output or from \texttt{normal\_plane.txt}
-file).
+file).
\item To change the color scale, go to \textsf{Display Tab} $\rightarrow$
\textsf{Color} $\rightarrow$ \textsf{Edit Color Map} and reselect
-lower and upper limits, or change the color scheme.
+lower and upper limits, or change the color scheme.
\item Now load in the source and receiver location file by \textsf{File}
$\rightarrow$ \textsf{Open data}, select \texttt{sr.vt}k, and click
the \textsf{Accept} button. Choose \textsf{Filter} $\rightarrow$
-\textsf{Glyph}, and represent the points by `\textsf{spheres}'.
-\item For more information about ParaView, see the ParaView Users Guide \urlwithparentheses{www.paraview.org/files/v1.6/ParaViewUsersGuide.PDF}.
+\textsf{Glyph}, and represent the points by `\textsf{spheres}'.
+\item For more information about ParaView, see the ParaView Users Guide
+\urlwithparentheses{www.paraview.org/files/v1.6/ParaViewUsersGuide.PDF}.
\end{enumerate}
\end{enumerate}
-%
\begin{figure}[H]
\noindent \begin{centering}
-\includegraphics[scale=0.6]{figures/3D-S-Kernel}
+\includegraphics[scale=0.6]{figures/3D-S-Kernel}
\par\end{centering}
\caption{(a) Top Panel: Vertical source-receiver cross-section of the S-wave
@@ -3106,7 +3338,7 @@
an epicentral distance of 165 km \citep{LiTr06}.}
-\label{figure:P-wave-speed-finite-frequency}
+\label{figure:P-wave-speed-finite-frequency}
\end{figure}
@@ -3118,60 +3350,61 @@
to manage the running of jobs from a large number of users. The following
considerations need to be taken into account when running on a system
that uses a scheduler:
-
\begin{itemize}
\item The processors/nodes to be used for each run are assigned dynamically
by the scheduler, based on availability. Therefore, in order for the
-\texttt{xgenerate\_databases} and the \texttt{xspecfem3D} executables (or between successive runs of the solver) to
-have access to the same database files (if they are stored on hard
-drives local to the nodes on which the code is run), they must be
-launched in sequence as a single job.
+\texttt{xgenerate\_databases} and the \texttt{xspecfem3D} executables
+(or between successive runs of the solver) to have access to the same
+database files (if they are stored on hard drives local to the nodes
+on which the code is run), they must be launched in sequence as a
+single job.
\item On some systems, the nodes to which running jobs are assigned are
not configured for compilation. It may therefore be necessary to pre-compile
-both the \texttt{xgenerate\_databases} and the \texttt{xspecfem3D} executables.
+both the \texttt{xgenerate\_databases} and the \texttt{xspecfem3D}
+executables.
\item One feature of schedulers/queuing systems is that they allow submission
of multiple jobs in a ``launch and forget'' mode. In order to take
advantage of this property, care needs to be taken that output and
intermediate files from separate jobs do not overwrite each other,
-or otherwise interfere with other running jobs.
+or otherwise interfere with other running jobs.
\end{itemize}
-Examples of job scripts can be found in the \texttt{\small utils/Cluster/}
+Examples of job scripts can be found in the \texttt{\small utils/Cluster/}{\small{}
directory and can straightforwardly be modified and adapted to meet
-more specific running needs.
+more specific running needs.}{\small \par}
We describe here in some detail a job submission procedure for the
Caltech 1024-node cluster, CITerra, under the LSF scheduling system.
-We consider the submission of a regular forward simulation using the internal mesher
-to create mesh partitions. The two
-main scripts are \texttt{\small run\_lsf.bash}, which compiles the
-Fortran code and submits the job to the scheduler, and \texttt{\small go\_mesher\_solver\_lsf\_basin.forward},
-which contains the instructions that make up
-the job itself. These scripts can be found in \texttt{\small utils/Cluster/lsf/} directory
+We consider the submission of a regular forward simulation using the
+internal mesher to create mesh partitions. The two main scripts are
+\texttt{\small run\_lsf.bash}{\small , which compiles the Fortran
+code and submits the job to the scheduler, and }\texttt{\small go\_mesher\_solver\_lsf\_basin.forward}{\small ,
+which contains the instructions that make up the job itself. These
+scripts can be found in }\texttt{\small utils/Cluster/lsf/}{\small{}
+directory}{\small \par}
\section{Job submission \texttt{run\_lsf.bash}}
This script first sets the job queue to be `normal'. It then compiles
-the mesher, database generator and solver together, figures out the number of processors
-required for this simulation from the \texttt{DATA/Par\_file}, and
-submits the LSF job.
-
+the mesher, database generator and solver together, figures out the
+number of processors required for this simulation from the \texttt{DATA/Par\_file},
+and submits the LSF job.
\begin{lyxcode}
\#!/bin/bash
-\#~use~the~normal~queue~unless~otherwise~directed~queue=\char`\"{}-q~normal\char`\"{}~
+\#~use~the~normal~queue~unless~otherwise~directed~queue=\textquotedbl{}-q~normal\textquotedbl{}~
-if~{[}~\$\#~-eq~1~];~then
+if~{[}~\$\#~-eq~1~{]};~then
-~~~~~~~~echo~\char`\"{}Setting~the~queue~to~\$1\char`\"{}
+~~~~~~~~echo~\textquotedbl{}Setting~the~queue~to~\$1\textquotedbl{}
-~~~~~~~~queue=\char`\"{}-q~\$1\char`\"{}~
+~~~~~~~~queue=\textquotedbl{}-q~\$1\textquotedbl{}~
-fi~\\
-~\\
-\#~compile~the~mesher~and~the~solver~
+fi~~\\
+~~~\\
+~\#~compile~the~mesher~and~the~solver~
-d=`date'~echo~\char`\"{}Starting~compilation~\$d\char`\"{}~
+d=`date'~echo~\textquotedbl{}Starting~compilation~\$d\textquotedbl{}~
make~clean~
@@ -3183,38 +3416,40 @@
d=`date'~
-echo~\char`\"{}Finished~compilation~\$d\char`\"{}~\\
-~\\
-\#~get~total~number~of~nodes~needed~for~solver~
+echo~\textquotedbl{}Finished~compilation~\$d\textquotedbl{}~~\\
+~~~\\
+~\#~get~total~number~of~nodes~needed~for~solver~
-NPROC=`grep~NPROC~DATA/Par\_file~|~cut~-c~34-~'~\\
-~\\
+NPROC=`grep~NPROC~DATA/Par\_file~|~cut~-c~34-~'~~\\
+~~~\\
+
\#~compute~total~number~of~nodes~needed~for~mesher~
-NPROC\_XI=`grep~NPROC\_XI~DATA/meshfem3D\_files/Mesh\_Par\_file~|~cut~-c~34-~'~
-~\\
+NPROC\_XI=`grep~NPROC\_XI~DATA/meshfem3D\_files/Mesh\_Par\_file~|~cut~-c~34-~'~~~~\\
-NPROC\_ETA=`grep~NPROC\_ETA~DATA/meshfem3D\_files/Mesh\_Par\_file~|~cut~-c~34-~'~
-~\\
-\#~total~number~of~nodes~is~the~product~of~the~values~read~
-numnodes=\$((~\$NPROC\_XI~*~\$NPROC\_ETA~))~\\
-~\\
+NPROC\_ETA=`grep~NPROC\_ETA~DATA/meshfem3D\_files/Mesh\_Par\_file~|~cut~-c~34-~'~~~~\\
+~\#~total~number~of~nodes~is~the~product~of~the~values~read~
+numnodes=\$((~\$NPROC\_XI~{*}~\$NPROC\_ETA~))~~\\
+~~~\\
+
+
\#~checks~total~number~of~nodes~
-if~{[}~\$numnodes~-neq~\$NPROC~];~then
+if~{[}~\$numnodes~-neq~\$NPROC~{]};~then
-~~~~~~~~echo~\char`\"{}error number of procs mismatch\char`\"{}
+~~~~~~~~echo~\textquotedbl{}error~number~of~procs~mismatch\textquotedbl{}
~~~~~~~~exit~
-fi~\\
+fi~~\\
-~\\
-echo~\char`\"{}Submitting~job\char`\"{}~
+~~\\
+~echo~\textquotedbl{}Submitting~job\textquotedbl{}~
+
bsub~\$queue~-n~\$numnodes~-W~60~-K~<go\_mesher\_solver\_lsf.forward~
\end{lyxcode}
@@ -3223,34 +3458,34 @@
This script describes the job itself, including setup steps that can
only be done once the scheduler has assigned a job-ID and a set of
compute nodes to the job, the \texttt{run\_lsf.bash} commands used
-to run the mesher, database generator and the solver, and calls to scripts that collect
-the output seismograms from the compute nodes and perform clean-up
-operations.
-
+to run the mesher, database generator and the solver, and calls to
+scripts that collect the output seismograms from the compute nodes
+and perform clean-up operations.
\begin{enumerate}
\item First the script directs the scheduler to save its own output and
output from \texttt{stdout} into ~\\
-\texttt{\small OUTPUT\_FILES/\%J.o},
-where \texttt{\%J} is short-hand for the job-ID; it also tells the
-scheduler what version of \texttt{mpich} to use (\texttt{mpich\_gm})
-and how to name this job (\texttt{go\_mesher\_solver\_lsf}).
+ \texttt{\small OUTPUT\_FILES/\%J.o}{\small , where }\texttt{\small \%J}{\small{}
+is short-hand for the job-ID; it also tells the scheduler what version
+of }\texttt{\small mpich}{\small{} to use (}\texttt{\small mpich\_gm}{\small )
+and how to name this job (}\texttt{\small go\_mesher\_solver\_lsf}{\small ). }{\small \par}
\item The script then creates a list of the nodes allocated to this job
by echoing the value of a dynamically set environment variable \texttt{LSB\_MCPU\_HOSTS}
and parsing the output into a one-column list using the Perl script
-\texttt{utils/Cluster/lsf/remap\_lsf\_machines.pl}. It then creates a set of scratch
-directories on these nodes (\texttt{\small /scratch/}~\\
-\texttt{\small \$USER/DATABASES\_MPI}) to be used as the \texttt{LOCAL\_PATH}
-for temporary storage of the database files. The scratch directories
-are created using \texttt{shmux}, a shell multiplexor that can execute
-the same commands on many hosts in parallel. \texttt{shmux} is available
-from Shmux \urlwithparentheses{web.taranis.org/shmux/}. Make sure that the \texttt{LOCAL\_PATH}
-parameter in \texttt{DATA/Par\_file} is also set properly.
-\item The next portion of the script launches the mesher, database generator and then the solver
-using \texttt{run\_lsf.bash}.
+\texttt{utils/Cluster/lsf/remap\_lsf\_machines.pl}. It then creates
+a set of scratch directories on these nodes (\texttt{\small /scratch/}{\small ~}\\
+{\small{} }\texttt{\small \$USER/DATABASES\_MPI}{\small ) to be used
+as the }\texttt{\small LOCAL\_PATH}{\small{} for temporary storage
+of the database files. The scratch directories are created using }\texttt{\small shmux}{\small ,
+a shell multiplexor that can execute the same commands on many hosts
+in parallel. }\texttt{\small shmux}{\small{} is available from Shmux
+\urlwithparentheses{web.taranis.org/shmux/}. Make sure that the
+}\texttt{\small LOCAL\_PATH}{\small{} parameter in }\texttt{\small DATA/Par\_file}{\small{}
+is also set properly. }{\small \par}
+\item The next portion of the script launches the mesher, database generator
+and then the solver using \texttt{run\_lsf.bash}.
\item The final portion of the script collects the seismograms and performs
clean up on the nodes, using the Perl scripts \texttt{collect\_seismo\_lsf\_multi.pl}
-and \texttt{cleanmulti.pl}.
-\end{enumerate}
+and \texttt{cleanmulti.pl}. \end{enumerate}
\begin{lyxcode}
\#!/bin/bash~-v~
@@ -3258,42 +3493,47 @@
\#BSUB~-a~mpich\_gm~
-\#BSUB~-J~go\_mesher\_solver\_lsf~\\
-~\\
-\#~set~up~local~scratch~directories
+\#BSUB~-J~go\_mesher\_solver\_lsf~~\\
+~~~\\
+~\#~set~up~local~scratch~directories
BASEMPIDIR=/scratch/\$USER/DATABASES\_MPI
mkdir~-p~OUTPUT\_FILES~
-echo~\char`\"{}\$LSB\_MCPU\_HOSTS\char`\"{}~>~OUTPUT\_FILES/lsf\_machines~
+echo~\textquotedbl{}\$LSB\_MCPU\_HOSTS\textquotedbl{}~>~OUTPUT\_FILES/lsf\_machines~
-echo~\char`\"{}\$LSB\_JOBID\char`\"{}~>~OUTPUT\_FILES/jobid
+echo~\textquotedbl{}\$LSB\_JOBID\textquotedbl{}~>~OUTPUT\_FILES/jobid
-remap\_lsf\_machines.pl~OUTPUT\_FILES/lsf\_machines~> OUTPUT\_FILES/machines
+remap\_lsf\_machines.pl~OUTPUT\_FILES/lsf\_machines~>~OUTPUT\_FILES/machines
-shmux~-M50~-Sall~-c~\char`\"{}rm~-r~-f~/scratch/\$USER;~\textbackslash{}
+shmux~-M50~-Sall~-c~\textquotedbl{}rm~-r~-f~/scratch/\$USER;~\textbackslash{}
-~~~~~~mkdir~-p~/scratch/\$USER;~mkdir~-p~\$BASEMPIDIR\char`\"{}~\textbackslash{}
+~~~~~~mkdir~-p~/scratch/\$USER;~mkdir~-p~\$BASEMPIDIR\textquotedbl{}~\textbackslash{}
-~~~~~~-~<~OUTPUT\_FILES/machines~>/dev/null~\\
-~\\
-\#~run~the~specfem~program
+~~~~~~-~<~OUTPUT\_FILES/machines~>/dev/null~~\\
+~~~\\
+~\#~run~the~specfem~program
-current\_pwd=\$PWD \\
+current\_pwd=\$PWD~~\\
-cd bin/ \\
-run\_lsf.bash~-{}-gm-no-shmem~-{}-gm-copy-env~\$current\_pwd/xmeshfem3D~\\
+cd~bin/~~\\
-run\_lsf.bash~-{}-gm-no-shmem~-{}-gm-copy-env~\$current\_pwd/xgenerate\_databases~\\
-run\_lsf.bash~-{}-gm-no-shmem~-{}-gm-copy-env~\$current\_pwd/xspecfem3D~\\
-~\\
-\#~collect~seismograms~and~clean~up
+run\_lsf.bash~-{}-gm-no-shmem~-{}-gm-copy-env~\$current\_pwd/xmeshfem3D~~\\
-cd current\_pwd/~ \\
+run\_lsf.bash~-{}-gm-no-shmem~-{}-gm-copy-env~\$current\_pwd/xgenerate\_databases~~\\
+
+
+run\_lsf.bash~-{}-gm-no-shmem~-{}-gm-copy-env~\$current\_pwd/xspecfem3D~~\\
+~~~\\
+~\#~collect~seismograms~and~clean~up
+
+cd~current\_pwd/~~~\\
+
+
mkdir~-p~OUTPUT\_FILES/SEM
cd~OUTPUT\_FILES/SEM/~
@@ -3303,90 +3543,138 @@
cleanbase.pl~../OUTPUT\_FILES/machines
\end{lyxcode}
-
\chapter{{\normalsize \label{cha:-Changing-the}} Changing the Model}
-In this section we explain how to change the velocity model used for your simulations.
-These changes involve contributing specific subroutines
-that replace existing subroutines in the \texttt{SPECFEM3D Cartesian} package.
-Note that \texttt{SPECFEM3D Cartesian} can handle Earth models with material properties that vary within each spectral element.
+In this section we explain how to change the velocity model used for
+your simulations. These changes involve contributing specific subroutines
+that replace existing subroutines in the \texttt{SPECFEM3D Cartesian}
+package. Note that \texttt{SPECFEM3D Cartesian} can handle Earth models
+with material properties that vary within each spectral element.
%% magnoni 6/12
-\section{{\normalsize \label{sec:Using-tomographic}}Using external tomographic Earth models}
-To implement your own external tomographic model(s), you must provide your own external tomography file(s),
-and choose between two possible options:\\
-\indent (1) set in the \texttt{Par\_file} the model parameter \texttt{MODEL = tomo}, \\
-or for more user control: \\
-\indent (2) set in the \texttt{Par\_file} the model parameter \texttt{MODEL = default}, define the negative \texttt{material\_ID} identifier for each element in the file \texttt{MESH/materials\_file}
-and use the following format in the file \texttt{MESH/nummaterial\_velocity\_file}
-when using CUBIT to construct your mesh (see also section \ref{subsec:Exporting-the-Mesh}):
+
+
+\section{{\normalsize \label{sec:Using-tomographic}}Using external tomographic
+Earth models}
+
+To implement your own external tomographic model(s), you must provide
+your own external tomography file(s), and choose between two possible
+options:\\
+ \indent (1) set in the \texttt{Par\_file} the model parameter \texttt{MODEL
+= tomo}, \\
+ or for more user control: \\
+ \indent (2) set in the \texttt{Par\_file} the model parameter \texttt{MODEL
+= default}, define the negative \texttt{material\_ID} identifier for
+each element in the file \texttt{MESH/materials\_file} and use the
+following format in the file \texttt{MESH/nummaterial\_velocity\_file}
+when using CUBIT to construct your mesh (see also section \ref{subsec:Exporting-the-Mesh}):
\begin{lyxcode}
-\texttt{domain\_ID} \texttt{material\_ID} \texttt{tomography} \texttt{elastic} \texttt{file\_name} 1
+domain\_ID~material\_ID~tomography~elastic~file\_name~1
\end{lyxcode}
where: \\
-\indent \texttt{domain\_ID} is 1 for acoustic or 2 for elastic materials, \\
-\indent \texttt{material\_ID} a negative, unique identifier (i.e., -1,-2,...), \\
-\indent \texttt{tomography} keyword for tomographic material definition, \\
-\indent \texttt{elastic} keyword for elastic material definition, \\
-\indent \texttt{file\_name} the name of the tomography file and 1 a positive unique identifier.\\
+ \indent \texttt{domain\_ID} is 1 for acoustic or 2 for elastic materials,
+\\
+ \indent \texttt{material\_ID} a negative, unique identifier (i.e.,
+-1,-2,...), \\
+ \indent \texttt{tomography} keyword for tomographic material definition,
+\\
+ \indent \texttt{elastic} keyword for elastic material definition,
+\\
+ \indent \texttt{file\_name} the name of the tomography file and
+1 a positive unique identifier.\\
-The external tomographic model is represented by a grid of points with assigned material properties and homogeneous resolution along each spatial direction x, y and z.
-The ASCII file \texttt{file\_name} that describe the tomography should be located in the \texttt{TOMOGRAPHY\_PATH} directory, set in the \texttt{Par\_file}.
-The format of the file, as read from \texttt{model\_tomography.f90} located in the \texttt{src/generate\_databases} directory, looks like Figure \ref{fig:tomography_file},
-where
-%
+
+The external tomographic model is represented by a grid of points
+with assigned material properties and homogeneous resolution along
+each spatial direction x, y and z. The ASCII file \texttt{file\_name}
+that describe the tomography should be located in the \texttt{TOMOGRAPHY\_PATH}
+directory, set in the \texttt{Par\_file}. The format of the file,
+as read from \texttt{model\_tomography.f90} located in the \texttt{src/generate\_databases}
+directory, looks like Figure \ref{fig:tomography_file}, where
\begin{description}
-\item [{\texttt{ORIG\_X}, \texttt{END\_X}}] are, respectively, the coordinates of the initial and final tomographic grid points along the x direction (in the mesh units, e.g., $m$);
-\item [{\texttt{ORIG\_Y}, \texttt{END\_Y}}] respectively the coordinates of the initial and final tomographic grid points along the y direction (in the mesh units, e.g., $m$);
-\item [{\texttt{ORIG\_Z}, \texttt{END\_Z}}] respectively the coordinates of the initial and final tomographic grid points along the z direction (in the mesh units, e.g., $m$);
-\item [\texttt{SPACING\_X}, \texttt{SPACING\_Y}, \texttt{SPACING\_Z}] the spacing between the tomographic grid points along the x, y and z directions, respectively (in the mesh units, e.g., $m$);
-\item [\texttt{NX}, \texttt{NY}, \texttt{NZ}] the number of grid points along the spatial directions x, y and z, respectively; \texttt{NX} is given by [(\texttt{END\_X} - \texttt{ORIG\_X})/\texttt{SPACING\_X}]+1; \texttt{NY} and \texttt{NZ} are the same as \texttt{NX}, but for the y and z directions, respectively;
-\item [\texttt{VP\_MIN}, \texttt{VP\_MAX}, \texttt{VS\_MIN}, \texttt{VS\_MAX}, \texttt{RHO\_MIN}, \texttt{RHO\_MAX}] the minimum and maximum values of the wave speed \texttt{vp} and \texttt{vs} (in $m \, s^{-1}$) and of the density \texttt{rho} (in $kg \, m^{-3}$); these values could be the actual limits of the tomographic parameters in the grid or the minimum and maximum values to which we force the cut of velocity and density in the model.
+\item [{\texttt{ORIG\_X}, \texttt{END\_X}}] are, respectively, the coordinates
+of the initial and final tomographic grid points along the x direction
+(in the mesh units, e.g., $m$);
+\item [{\texttt{ORIG\_Y}, \texttt{END\_Y}}] respectively the coordinates
+of the initial and final tomographic grid points along the y direction
+(in the mesh units, e.g., $m$);
+\item [{\texttt{ORIG\_Z}, \texttt{END\_Z}}] respectively the coordinates
+of the initial and final tomographic grid points along the z direction
+(in the mesh units, e.g., $m$);
+\item [{\texttt{SPACING\_X}, \texttt{SPACING\_Y}, \texttt{SPACING\_Z}}] the
+spacing between the tomographic grid points along the x, y and z directions,
+respectively (in the mesh units, e.g., $m$);
+\item [{\texttt{NX}, \texttt{NY}, \texttt{NZ}}] the number of grid points
+along the spatial directions x, y and z, respectively; \texttt{NX}
+is given by {[}(\texttt{END\_X} - \texttt{ORIG\_X})/\texttt{SPACING\_X}{]}+1;
+\texttt{NY} and \texttt{NZ} are the same as \texttt{NX}, but for the
+y and z directions, respectively;
+\item [{\texttt{VP\_MIN}, \texttt{VP\_MAX}, \texttt{VS\_MIN}, \texttt{VS\_MAX}, \texttt{RHO\_MIN}, \texttt{RHO\_MAX}}] the
+minimum and maximum values of the wave speed \texttt{vp} and \texttt{vs}
+(in $m\, s^{-1}$) and of the density \texttt{rho} (in $kg\, m^{-3}$);
+these values could be the actual limits of the tomographic parameters
+in the grid or the minimum and maximum values to which we force the
+cut of velocity and density in the model.
\end{description}
-%
-After the first four lines, in the file \texttt{file\_name} the tomographic grid points are listed with the corresponding values of \texttt{vp}, \texttt{vs} and \texttt{rho}, scanning the grid along the x coordinate (from \texttt{ORIG\_X} to \texttt{END\_X} with step of \texttt{SPACING\_X}) for each given y (from \texttt{ORIG\_Y} to \texttt{END\_Y}, with step of \texttt{SPACING\_Y}) and each given z (from \texttt{ORIG\_Z} to \texttt{END\_Z}, with step of \texttt{SPACING\_Z}).
-%fig
+After the first four lines, in the file \texttt{file\_name} the tomographic
+grid points are listed with the corresponding values of \texttt{vp},
+\texttt{vs} and \texttt{rho}, scanning the grid along the x coordinate
+(from \texttt{ORIG\_X} to \texttt{END\_X} with step of \texttt{SPACING\_X})
+for each given y (from \texttt{ORIG\_Y} to \texttt{END\_Y}, with step
+of \texttt{SPACING\_Y}) and each given z (from \texttt{ORIG\_Z} to
+\texttt{END\_Z}, with step of \texttt{SPACING\_Z}). %fig
\begin{figure}[htbp]
\noindent \begin{centering}
-\includegraphics[width=1.0\textwidth]{figures/tomo_file.jpg}
+\includegraphics[width=1\textwidth]{figures/tomo_file}
\par\end{centering}
-\caption{Tomography file \texttt{file\_name} that describes an external Earth model. The coordinates x, y and z of the grid, their limits ORIG\_X, ORIG\_Y, ORIG\_Z, END\_X, END\_Y, END\_Z and the grid spacings SPACING\_X, SPACING\_Y, SPACING\_Z should be in the units of the constructed mesh (e.g., UTM coordinates in meters).}
-\label{fig:tomography_file}
+
+\caption{Tomography file \texttt{file\_name} that describes an external Earth
+model. The coordinates x, y and z of the grid, their limits ORIG\_X,
+ORIG\_Y, ORIG\_Z, END\_X, END\_Y, END\_Z and the grid spacings SPACING\_X,
+SPACING\_Y, SPACING\_Z should be in the units of the constructed mesh
+(e.g., UTM coordinates in meters).}
+
+
+\label{fig:tomography_file}
\end{figure}
-The user can implement his own interpolation algorithm for the tomography model by changing the routine \texttt{model\_tomography.f90} located in the \texttt{src/generate\_databases/} directory.
-Moreover, for models that involve both fully defined materials and a tomography description, the \texttt{nummaterial\_velocity\_file}
-has multiple lines each with the corresponding suitable format described above.
+The user can implement his own interpolation algorithm for the tomography
+model by changing the routine \texttt{model\_tomography.f90} located
+in the \texttt{src/generate\_databases/} directory. Moreover, for
+models that involve both fully defined materials and a tomography
+description, the \texttt{nummaterial\_velocity\_file} has multiple
+lines each with the corresponding suitable format described above.
+
\section{{\normalsize \label{sec:Anelastic-Models}}External (an)elastic Models}
-To use your own external model, you can set in the \texttt{Par\_file} the model parameter \texttt{MODEL = external}.
-Three-dimensional acoustic and/or (an)elastic (attenuation) models may then be superimposed
-onto the mesh based upon your subroutine in
-\texttt{model\_external\_values.f90} located in directory \texttt{src/generate\_databases}.
-The call to this routine would be as follows
-
+To use your own external model, you can set in the \texttt{Par\_file}
+the model parameter \texttt{MODEL = external}. Three-dimensional acoustic
+and/or (an)elastic (attenuation) models may then be superimposed onto
+the mesh based upon your subroutine in \texttt{model\_external\_values.f90}
+located in directory \texttt{src/generate\_databases}. The call to
+this routine would be as follows
\begin{lyxcode}
-call~model\_external\_values(xmesh,~ymesh,~zmesh, ~\& \\
-~~~~~~~~~~rho,~vp,~vs,~qmu\_atten,~iflag\_aniso,~idomain\_id)
+call~model\_external\_values(xmesh,~ymesh,~zmesh,~~\&~~\\
+~~~~~~~~~~~rho,~vp,~vs,~qmu\_atten,~iflag\_aniso,~idomain\_id)
\end{lyxcode}
-%
-Input to this routine consists of:
+Input to this routine consists of:
\begin{description}
-\item [{\texttt{xmesh,ymesh,zmesh}}] location of mesh point
+\item [{\texttt{xmesh,ymesh,zmesh}}] location of mesh point
\end{description}
-%
-Output to this routine consists of:
+Output to this routine consists of:
\begin{description}
-\item [{\texttt{rho,vp,vs}}] isotropic model parameters for density $\rho$ ($kg/m^3$), $v_p$ ($m/s$) and $v_s$ ($m/s$)
-\item [{\texttt{qmu\_atten}}] Shear wave quality factor: $0<Q_{\mu}<9000$
-\item [{\texttt{iflag\_aniso}}] anisotropic model flag, $0$ indicating no anisotropy or $1$ using anisotropic model parameters as defined in routine file \texttt{model\_aniso.f90}
-\item [{\texttt{idomain\_id}}] domain identifier, $1$ for acoustic, $2$ for elastic, $3$ for poroelastic materials.
+\item [{\texttt{rho,vp,vs}}] isotropic model parameters for density $\rho$
+($kg/m^{3}$), $v_{p}$ ($m/s$) and $v_{s}$ ($m/s$)
+\item [{\texttt{qmu\_atten}}] Shear wave quality factor: $0<Q_{\mu}<9000$
+\item [{\texttt{iflag\_aniso}}] anisotropic model flag, $0$ indicating
+no anisotropy or $1$ using anisotropic model parameters as defined
+in routine file \texttt{model\_aniso.f90}
+\item [{\texttt{idomain\_id}}] domain identifier, $1$ for acoustic, $2$
+for elastic, $3$ for poroelastic materials.
\end{description}
-
-
Note that the resolution and maximum value of anelastic models are
truncated. This speeds the construction of the standard linear solids
during the meshing stage. To change the resolution, currently at one
@@ -3396,48 +3684,48 @@
\section{{\normalsize \label{sec:Anisotropic-Models}}Anisotropic Models}
-To use your anisotropic models, you can either set in the \texttt{Par\_file} the model parameter \texttt{ANISOTROPY} to \texttt{.true.} or set the model parameter \texttt{MODEL = aniso}.
-Three-dimensional anisotropic models may be superimposed on
-the mesh based upon the subroutine in file \texttt{model\_aniso.f90}
-located in directory \texttt{src/generate\_databases}.
+To use your anisotropic models, you can either set in the \texttt{Par\_file}
+the model parameter \texttt{ANISOTROPY} to \texttt{.true.} or set
+the model parameter \texttt{MODEL = aniso}. Three-dimensional anisotropic
+models may be superimposed on the mesh based upon the subroutine in
+file \texttt{model\_aniso.f90} located in directory \texttt{src/generate\_databases}.
The call to this subroutine is of the form
-
\begin{lyxcode}
-call~model\_aniso(iflag\_aniso,~rho,~vp,~vs,~\& \\
-~~~~~~~~~~c11,c12,c13,c14,c15,c16,c22,c23,c24,c25,c26,~\& \\
-~~~~~~~~~~c33,c34,c35,c36,c44,c45,c46,c55,c56,c66)~
+call~model\_aniso(iflag\_aniso,~rho,~vp,~vs,~\&~~\\
+~~~~~~~~~~~c11,c12,c13,c14,c15,c16,c22,c23,c24,c25,c26,~\&~~\\
+~~~~~~~~~~~c33,c34,c35,c36,c44,c45,c46,c55,c56,c66)~
\end{lyxcode}
-%
-Input to this routine consists of:
+Input to this routine consists of:
\begin{description}
-\item [{\texttt{iflag\_aniso}}] flag indicating the type of the anisotropic model, i.e. $0$ for no superimposed anisotropy, $1$ or $2$ for generic pre-defined anisotropic models.
-\item [{\texttt{rho,vp,vs}}] reference isotropic model parameters for density $\rho$, $v_p$ and $v_s$.
+\item [{\texttt{iflag\_aniso}}] flag indicating the type of the anisotropic
+model, i.e. $0$ for no superimposed anisotropy, $1$ or $2$ for
+generic pre-defined anisotropic models.
+\item [{\texttt{rho,vp,vs}}] reference isotropic model parameters for density
+$\rho$, $v_{p}$ and $v_{s}$.
\end{description}
-%
Output from the routine consists of the following non-dimensional
-model parameters:
+model parameters:
\begin{description}
\item [{\texttt{c11},}] \textbf{$\cdots$,} \texttt{\textbf{c66}} 21~dimensionalized
-anisotropic elastic parameters.
+anisotropic elastic parameters.
\end{description}
+You can replace the \texttt{model\_aniso.f90} file by your own version
+\textit{provided you do not change the call structure of the routine},
+i.e., the new routine should take exactly the same input and produce
+the required relative output.
-You can replace the \texttt{model\_aniso.f90} file by
-your own version \textit{provided you do not change the call structure
-of the routine}, i.e., the new routine should take exactly the same
-input and produce the required relative output.
-
-
\chapter{Post-Processing Scripts}
Several post-processing scripts/programs are provided in the \texttt{utils/}
directory, and most of them need to be adjusted when used on different
systems, for example, the path of the executable programs. Here we
-only list a few of the available scripts and provide a brief description, and
-you can either refer to the related sections for detailed usage or,
-in a lot of cases, type the script/program name without arguments
+only list a few of the available scripts and provide a brief description,
+and you can either refer to the related sections for detailed usage
+or, in a lot of cases, type the script/program name without arguments
for its usage.
+
\section{Process Data and Synthetics\label{sec:Process-data-and-syn}}
In many cases, the SEM synthetics are calculated and compared to data
@@ -3446,41 +3734,42 @@
and the synthetics need to be processed before a comparison can be
made.
- For such comparisons, the following steps are recommended:
-
+For such comparisons, the following steps are recommended:
\begin{enumerate}
-\item Make sure that both synthetic and observed seismograms have the correct station/event and timing information.
-\item Convolve synthetic seismograms with a source time function with the half duration specified in the \texttt{CMTSOLUTION} file, provided, as recommended, you used a zero half duration in the SEM simulations.
-\item Resample both observed and synthetic seismograms to a common sampling rate.
-\item Cut the records using the same window.
-\item Remove the trend and mean from the records and taper them.
-\item Remove the instrument response from the observed seismograms (recommended) or convolve the synthetic seismograms with the instrument response.
-\item Make sure that you apply the same filters to both observed and synthetic seismograms. Preferably, avoid filtering your records more than once.
-\item Now, you are ready to compare your synthetic and observed seismograms.
+\item Make sure that both synthetic and observed seismograms have the correct
+station/event and timing information.
+\item Convolve synthetic seismograms with a source time function with the
+half duration specified in the \texttt{CMTSOLUTION} file, provided,
+as recommended, you used a zero half duration in the SEM simulations.
+\item Resample both observed and synthetic seismograms to a common sampling
+rate.
+\item Cut the records using the same window.
+\item Remove the trend and mean from the records and taper them.
+\item Remove the instrument response from the observed seismograms (recommended)
+or convolve the synthetic seismograms with the instrument response.
+\item Make sure that you apply the same filters to both observed and synthetic
+seismograms. Preferably, avoid filtering your records more than once.
+\item Now, you are ready to compare your synthetic and observed seismograms.
\end{enumerate}
+\noindent We generally use the following scripts provided in the \texttt{utils/seis\_process/}
+directory:
-\noindent
-We generally use the following scripts provided in the \texttt{utils/seis\_process/} directory:
-
\subsection{Data processing script \texttt{process\_data.pl}}
This script cuts a given portion of the original data, filters it,
transfers the data into a displacement record, and picks the first
P and S arrivals. For more functionality, type `\texttt{process\_data.pl}'
without any argument. An example of the usage of the script:
-
\begin{lyxcode}
-{\footnotesize process\_data.pl~-m~CMTSOLUTION~-s~1.0~-l~0/4000~-i~-f~-t~40/500~-p~-x~bp~DATA/1999.330{*}.BH?.SAC}
-{\footnotesize \par}
+{\footnotesize process\_data.pl~-m~CMTSOLUTION~-s~1.0~-l~0/4000~-i~-f~-t~40/500~-p~-x~bp~DATA/1999.330{*}.BH?.SAC}~
\end{lyxcode}
+\noindent which has resampled the SAC files to a sampling rate of
+1 seconds, cut them between 0 and 4000 seconds, transfered them into
+displacement records and filtered them between 40 and 500 seconds,
+picked the first P and S arrivals, and added suffix `\texttt{bp}'
+to the file names.
-\noindent which has resampled the SAC files to a sampling rate of 1 seconds, cut
-them between 0 and 4000 seconds, transfered them into displacement
-records and filtered them between 40 and 500 seconds,
-picked the first P and S arrivals, and added suffix `\texttt{bp}' to the file names.
-
-
Note that all of the scripts in this section actually use the SAC
and/or IASP91 to do the core operations; therefore make sure that
the SAC and IASP91 packages are installed properly on your system,
@@ -3488,21 +3777,21 @@
these scripts.
-
\subsection{Synthetics processing script \texttt{process\_syn.pl}}
This script converts the synthetic output from the SEM code from ASCII
to SAC format, and performs similar operations as `\texttt{process\_data.pl}'.
-An example of the usage of the script:
+An example of the usage of the script:
\begin{lyxcode}
-{\footnotesize process\_syn.pl~-m~CMTSOLUTION~-h~-a~STATIONS~-s~1.0~-l~0/4000~-f~-t~40/500~-p~-x~bp~SEM/{*}.BX?.semd}
-{\footnotesize \par}
+{\footnotesize process\_syn.pl~-m~CMTSOLUTION~-h~-a~STATIONS~-s~1.0~-l~0/4000~-f~-t~40/500~-p~-x~bp~SEM/{*}.BX?.semd}~
\end{lyxcode}
which will convolve the synthetics with a triangular source-time function
from the \texttt{CMTSOLUTION} file, convert the synthetics into SAC
-format, add event and station information into the SAC headers, resample the SAC files with a sampling rate of 1 seconds, cut them between 0 and 4000 seconds, filter them between 40 and
-500 seconds with the same filter used for the observed data, pick the first P and S arrivals, and add the suffix `\texttt{bp}'
-to the file names.
+format, add event and station information into the SAC headers, resample
+the SAC files with a sampling rate of 1 seconds, cut them between
+0 and 4000 seconds, filter them between 40 and 500 seconds with the
+same filter used for the observed data, pick the first P and S arrivals,
+and add the suffix `\texttt{bp}' to the file names.
More options are available for this script, such as adding time shift
to the origin time of the synthetics, convolving the synthetics with
@@ -3512,18 +3801,17 @@
In order to convert between SAC format and ASCII files, useful scripts
are provided in the subdirectories ~\\
-\texttt{utils/sac2000\_alpha\_convert/} and \texttt{utils/seis\_process/asc2sac/}.
+ \texttt{utils/sac2000\_alpha\_convert/} and \texttt{utils/seis\_process/asc2sac/}.
\subsection{Script \texttt{rotate.pl}}
-The original data and synthetics have three components: vertical (BHZ resp. BXZ),
-north (BHN resp. BXN) and east (BHE resp. BXE). However, for most seismology applications,
-transverse and radial components are also desirable. Therefore, we
-need to rotate the horizontal components of both the data and the
-synthetics to the transverse and radial direction, and \texttt{\small rotate.pl}
-can be used to accomplish this:
-
+The original data and synthetics have three components: vertical (BHZ
+resp. BXZ), north (BHN resp. BXN) and east (BHE resp. BXE). However,
+for most seismology applications, transverse and radial components
+are also desirable. Therefore, we need to rotate the horizontal components
+of both the data and the synthetics to the transverse and radial direction,
+and \texttt{\small rotate.pl}{\small{} can be used to accomplish this:}{\small \par}
\begin{lyxcode}
rotate.pl~-l~0~-L~180~-d~DATA/{*}.BHE.SAC.bp~
@@ -3537,35 +3825,44 @@
\section{Collect Synthetic Seismograms}
The forward and adjoint simulations generate synthetic seismograms
-in the \texttt{OUTPUT\_FILES/} directory by default. For the forward simulation, the files
-are named like \texttt{STA.NT.BX?.semd} for two-column time series, or
-\texttt{STA.NT.BX?.semd.sac} for ASCII SAC format, where STA and NT
-are the station name and network code, and \texttt{BX?} stands for
-the component name. Please see the Appendix~\ref{cha:Coordinates} and \ref{cha:channel-codes}
-for further details.
+in the \texttt{OUTPUT\_FILES/} directory by default. For the forward
+simulation, the files are named like \texttt{STA.NT.BX?.semd} for
+two-column time series, or \texttt{STA.NT.BX?.semd.sac} for ASCII
+SAC format, where STA and NT are the station name and network code,
+and \texttt{BX?} stands for the component name. Please see the Appendix~\ref{cha:Coordinates}
+and \ref{cha:channel-codes} for further details.
-The adjont simulations generate synthetic seismograms
-with the name \texttt{S?????.NT.S??.sem} (refer to Section \ref{sec:Adjoint-simulation-sources}
+The adjont simulations generate synthetic seismograms with the name
+\texttt{S?????.NT.S??.sem} (refer to Section \ref{sec:Adjoint-simulation-sources}
for details). The kernel simulations output the back-reconstructed
synthetic seismogram in the name \texttt{STA.NT.BX?.semd}, mainly
for the purpose of checking the accuracy of the reconstruction. Refer
to Section \ref{sec:Adjoint-simulation-finite} for further details.
-You do have further options to change this default output behavior, given in the main constants file
-\texttt{constants.h} located in \texttt{src/shared/} directory:
+You do have further options to change this default output behavior,
+given in the main constants file \texttt{constants.h} located in \texttt{src/shared/}
+directory:
\begin{description}
-\item [{\texttt{SEISMOGRAMS\_BINARY}}] set to \texttt{.true.} to have seismograms written out in binary format.
-\item [{\texttt{WRITE\_SEISMOGRAMS\_BY\_MASTER}}] Set to \texttt{.true.} to have only the master process writing out seismograms. This can be useful on a cluster, where only the master process node has access to the output directory.
-\item [{\texttt{USE\_OUTPUT\_FILES\_PATH}}] Set to \texttt{.false.} to have the seismograms output to \texttt{LOCAL\_PATH} directory specified in the main parameter file \texttt{DATA/Par\_file}.
-In this case, you could collect the synthetics onto the frontend using the \texttt{collect\_seismo\_lsf\_multi.pl} script
-located in the \texttt{utils/Cluster/lsf/} directory. The usage of the script would be e.g.:
+\item [{\texttt{SEISMOGRAMS\_BINARY}}] set to \texttt{.true.} to have seismograms
+written out in binary format.
+\item [{\texttt{WRITE\_SEISMOGRAMS\_BY\_MASTER}}] Set to \texttt{.true.}
+to have only the master process writing out seismograms. This can
+be useful on a cluster, where only the master process node has access
+to the output directory.
+\item [{\texttt{USE\_OUTPUT\_FILES\_PATH}}] Set to \texttt{.false.} to
+have the seismograms output to \texttt{LOCAL\_PATH} directory specified
+in the main parameter file \texttt{DATA/Par\_file}. In this case,
+you could collect the synthetics onto the frontend using the \texttt{collect\_seismo\_lsf\_multi.pl}
+script located in the \texttt{utils/Cluster/lsf/} directory. The usage
+of the script would be e.g.:
\begin{lyxcode}
collect\_seismo.pl~machines~DATA/Par\_file
\end{lyxcode}
-
\end{description}
-where \texttt{machines} is a file containing the node names and \texttt{DATA/Par\_file} the parameter file used to extract the \texttt{LOCAL\_PATH} directory used for the simulation.
+where \texttt{machines} is a file containing the node names and \texttt{DATA/Par\_file}
+the parameter file used to extract the \texttt{LOCAL\_PATH} directory
+used for the simulation.
\section{Clean Local Database}
@@ -3573,28 +3870,28 @@
After all the simulations are done, the seismograms are collected,
and the useful database files are copied to the frontend, you may
need to clean the local scratch disk for the next simulation. This
-is especially important in the case of kernel simulation,
-where very large files are generated for the absorbing boundaries
-to help with the reconstruction of the regular forward wavefield.
-A sample script is provided in \texttt{utils/}:
-
+is especially important in the case of kernel simulation, where very
+large files are generated for the absorbing boundaries to help with
+the reconstruction of the regular forward wavefield. A sample script
+is provided in \texttt{utils/}:
\begin{lyxcode}
cleanbase.pl~machines
\end{lyxcode}
-where \texttt{machines} is a file containing the node names.
+where \texttt{machines} is a file containing the node names.
+
\section{Plot Movie Snapshots and Synthetic Shakemaps}
\subsection{Script \texttt{movie2gif.gmt.pl}}
With the movie data saved in \texttt{OUTPUT\_FILES/} at the end of
-a movie simulation (\texttt{\small MOVIE\_SURFACE=.true.}), you can
-run the \texttt{`create\_movie\_shakemap\_AVS\_DX\_GMT}' code to convert these binary
-movie data into GMT xyz files for futher processing. A sample script
-\texttt{movie2gif.gmt.pl} is provided to do this conversion, and then
-plot the movie snapshots in GMT, for example:
-
+a movie simulation (\texttt{\small MOVIE\_SURFACE=.true.}{\small ),
+you can run the }\texttt{\small `create\_movie\_shakemap\_AVS\_DX\_GMT}{\small '
+code to convert these binary movie data into GMT xyz files for futher
+processing. A sample script }\texttt{\small movie2gif.gmt.pl}{\small{}
+is provided to do this conversion, and then plot the movie snapshots
+in GMT, for example:}{\small \par}
\begin{lyxcode}
movie2gif.gmt.pl~-m~CMTSOLUTION~-g~-f~1/40~-n~-2~-p~
\end{lyxcode}
@@ -3608,12 +3905,10 @@
With the shakemap data saved in \texttt{OUTPUT\_FILES/} at the end
of a shakemap simulation ~\\
-(\texttt{CREATE\_SHAKEMAP=.true.}), you can
-also run \texttt{`create\_movie\_shakemap\_AVS\_DX\_GMT}' code to convert the binary
-shakemap data into GMT xyz files. A sample script \texttt{plot\_shakemap.gmt.pl}
-is provided to do this conversion, and then plot the shakemaps in
-GMT, for example:
-
+ (\texttt{CREATE\_SHAKEMAP=.true.}), you can also run \texttt{`create\_movie\_shakemap\_AVS\_DX\_GMT}'
+code to convert the binary shakemap data into GMT xyz files. A sample
+script \texttt{plot\_shakemap.gmt.pl} is provided to do this conversion,
+and then plot the shakemaps in GMT, for example:
\begin{lyxcode}
plot\_shakemap.gmt.pl~data\_dir~type(1,2,3)~CMTSOLUTION~
\end{lyxcode}
@@ -3621,13 +3916,12 @@
velocity, and \texttt{3} for acceleration.
-
\section{Map Local Database}
A sample program \texttt{remap\_database} is provided to map the local
database from a set of machines to another set of machines. This is
especially useful when you want to run mesher and solver, or different
-types of solvers separately through a scheduler (refer to Chapter~\ref{cha:Scheduler}).
+types of solvers separately through a scheduler (refer to Chapter~\ref{cha:Scheduler}).
\begin{lyxcode}
run\_lsf.bash~-{}-gm-no-shmem~-{}-gm-copy-env~remap\_database~old\_machines~150
\end{lyxcode}
@@ -3637,38 +3931,62 @@
\chapter{\label{cha:tomo}Tomographic inversion using sensitivity kernels}
-One of the fundamental reasons for computing sensitivity kernels (Section~\ref{sec:Adjoint-simulation-finite}) is to use them within a tomographic inversion. In other words, use recorded seismograms, make measurements with synthetic seismograms, and use the misfit between the two to iteratively improve the model described by (at least) $V_{\rm p}$, $V_{\rm s}$, and $\rho$ as a function of space.
+One of the fundamental reasons for computing sensitivity kernels (Section~\ref{sec:Adjoint-simulation-finite})
+is to use them within a tomographic inversion. In other words, use
+recorded seismograms, make measurements with synthetic seismograms,
+and use the misfit between the two to iteratively improve the model
+described by (at least) $V_{{\rm p}}$, $V_{{\rm s}}$, and $\rho$
+as a function of space.
-Whatever misfit function you use for the tomographic inversion (several examples in \cite{TrTaLi05} and \cite{TrKoLi08}), you will weight the sensitivity kernels with measurements. Furthermore, you will use as many measurements (stations, components, time windows) as possible per event; hence, we call these composite kernels ``event kernels,'' which are volumetric fields representing the gradient of the misfit function with respect to one of the variables (\eg $V_{\rm s}$). The basic features of an adjoint-based tomographic inversion were illustrated in \citet{TaLiTr07} and \citet{TrKoLi08} using a conjugate-gradient algorithm; there are dozens of versions of gradient-based inversion algorithms that could alternatively be used. The tomographic inversion of \citet{TaLiMaTr09,TaLiMaTr2010} used SPECFEM3D Cartesian as well as several additional components which are also stored on the CIG svn server, described next.
+Whatever misfit function you use for the tomographic inversion (several
+examples in \citet{TrTaLi05} and \citet{TrKoLi08}), you will weight
+the sensitivity kernels with measurements. Furthermore, you will use
+as many measurements (stations, components, time windows) as possible
+per event; hence, we call these composite kernels ``event kernels,''
+which are volumetric fields representing the gradient of the misfit
+function with respect to one of the variables (\eg $V_{{\rm s}}$).
+The basic features of an adjoint-based tomographic inversion were
+illustrated in \citet{TaLiTr07} and \citet{TrKoLi08} using a conjugate-gradient
+algorithm; there are dozens of versions of gradient-based inversion
+algorithms that could alternatively be used. The tomographic inversion
+of \citet{TaLiMaTr09,TaLiMaTr2010} used SPECFEM3D Cartesian as well
+as several additional components which are also stored on the CIG
+svn server, described next.
-The directory containing utilities for tomographic inversion using SPECFEM3D Cartesian (or other packages that evaluate misfit functions and gradients) is here on the CIG svn server:
-%
-\begin{verbatim}
-/cig/seismo/3D/ADJOINT_TOMO/
- flexwin/ -- FLEXWIN algorithm for automated picking of time windows
- measure_adj/ -- reads FLEXWIN output file and makes measurements,
- with the option for computing adjoint sources
- iterate_adj/ -- various tools for iterative inversion
- (requires pre-computed "event kernels")
-\end{verbatim}
-%
-This directory also contains a brief \verb+README+ file indicating the role of the three subdirectories, \verb+flexwin+ \citep{Maggi2009}, \verb+measure_adj+, and \verb+iterate_adj+. The components for making the model update are there; however, there are no explicit rules for computing the model update, just as with any optimization problem. There are options for computing a conjugate gradient step, as well as a source subspace projection step.
-The workflow could use substantial ``stitching together,'' and we welcome suggestions;
-undoubtedly, the tomographic inversion procedure will improve with time.
-{\bf This is a work in progress.}
+The directory containing utilities for tomographic inversion using
+SPECFEM3D Cartesian (or other packages that evaluate misfit functions
+and gradients) is here on the CIG svn server: \begin{verbatim} /cig/seismo/3D/ADJOINTTOMO/
+flexwin/ -- FLEXWIN algorithm for automated picking of time windows
+measureadj/ -- reads FLEXWIN output file and makes measurements, with
+the option for computing adjoint sources iterateadj/ -- various tools
+for iterative inversion (requires pre-computed \textquotedbl{}event
+kernels\textquotedbl{}) \end{verbatim} This directory also contains
+a brief \verb+README+ file indicating the role of the three subdirectories,
+\verb+flexwin+ \citep{Maggi2009}, \verb+measure_adj+, and \verb+iterate_adj+.
+The components for making the model update are there; however, there
+are no explicit rules for computing the model update, just as with
+any optimization problem. There are options for computing a conjugate
+gradient step, as well as a source subspace projection step. The workflow
+could use substantial ``stitching together,'' and we welcome suggestions;
+undoubtedly, the tomographic inversion procedure will improve with
+time. \textbf{This is a work in progress.}
The best single file to read is probably: \verb+ADJOINT_TOMO/iterate_adj/cluster/README+.
%============================================================
+
+
\chapter*{\label{cha:Bug-Reports-and}Bug Reports and Suggestions for Improvements}
To report bugs or suggest improvements to the code, please send an
e-mail to the CIG Computational Seismology Mailing List \urlwithparentheses{cig-seismo at geodynamics.org}
-or Jeroen Tromp \urlwithparentheses{jtromp-AT-princeton.edu}, and/or use our online
-bug tracking system Roundup \urlwithparentheses{www.geodynamics.org/roundup}.
+or Jeroen Tromp \urlwithparentheses{jtromp-AT-princeton.edu}, and/or
+use our online bug tracking system Roundup \urlwithparentheses{www.geodynamics.org/roundup}.
-\addcontentsline{toc}{chapter}{Notes \& Acknowledgments}
+\addcontentsline{toc}{chapter}{Notes \& Acknowledgments}
+
+
\chapter*{Notes \& Acknowledgments}
In order to keep the software package thread-safe in case a multithreaded
@@ -3679,312 +3997,471 @@
The Gauss-Lobatto-Legendre subroutines in \texttt{gll\_library.f90}
are based in part on software libraries from the Massachusetts Institute
-of Technology, Department of Mechanical Engineering (Cambridge, Massachusetts, USA).
-The non-structured global numbering software was provided by Paul
-F. Fischer (Brown University, Providence, Rhode Island, USA, now at Argonne National Laboratory, USA).
+of Technology, Department of Mechanical Engineering (Cambridge, Massachusetts,
+USA). The non-structured global numbering software was provided by
+Paul F. Fischer (Brown University, Providence, Rhode Island, USA,
+now at Argonne National Laboratory, USA).
-OpenDX \urlwithparentheses{http://www.opendx.org} is open-source based on IBM Data
-Explorer, AVS \urlwithparentheses{http://www.avs.com} is a trademark of Advanced
-Visualization Systems, and ParaView \urlwithparentheses{http://www.paraview.org}
+OpenDX \urlwithparentheses{http://www.opendx.org} is open-source
+based on IBM Data Explorer, AVS \urlwithparentheses{http://www.avs.com}
+is a trademark of Advanced Visualization Systems, and ParaView \urlwithparentheses{http://www.paraview.org}
is an open-source visualization platform.
Please e-mail your feedback, questions, comments, and suggestions
-to Jeroen Tromp \urlwithparentheses{jtromp-AT-princeton.edu} or to the CIG Computational Seismology Mailing List \urlwithparentheses{cig-seismo at geodynamics.org}.
+to Jeroen Tromp \urlwithparentheses{jtromp-AT-princeton.edu} or
+to the CIG Computational Seismology Mailing List \urlwithparentheses{cig-seismo at geodynamics.org}.
-\addcontentsline{toc}{chapter}{Copyright}
+\addcontentsline{toc}{chapter}{Copyright}
+
+
\chapter*{Copyright}
Main historical authors: Dimitri Komatitsch and Jeroen Tromp
Princeton University, USA, and CNRS / INRIA / University of Pau, France
-$\copyright$ Princeton University and CNRS / INRIA / University of Pau, July 2012
+$\copyright$ Princeton University and CNRS / INRIA / University of
+Pau, July 2012
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published
by the Free Software Foundation (see Appendix \ref{cha:License}).\\
+
\textbf{\underline{Evolution of the code:}}\\
- MPI v 2.1, July 2012:
- Max Rietmann, Peter Messmer, Daniel Peter, Dimitri Komatitsch, Joseph Charles, Zhinan Xie: support for CUDA GPUs,
-better CFL stability for the Stacey absorbing conditions. \\
- MPI v. 2.0, November 2010:
- Dimitri Komatitsch, Nicolas Le Goff, Roland Martin and Pieyre Le Loher, University of Pau, France,
- Daniel Peter, Jeroen Tromp and the Princeton group of developers, Princeton University, USA,
- and Emanuele Casarotti, INGV Roma, Italy:
- support for CUBIT meshes decomposed by SCOTCH;
- much faster solver using Michel Deville's inlined matrix products.\\
+MPI v 2.1, July 2012: Max Rietmann, Peter Messmer, Daniel Peter, Dimitri
+Komatitsch, Joseph Charles, Zhinan Xie: support for CUDA GPUs, better
+CFL stability for the Stacey absorbing conditions. \\
- MPI v. 1.4 Dimitri Komatitsch, University of Pau, Qinya Liu and others, Caltech, September 2006:
- better adjoint and kernel calculations, faster and better I/Os
- on very large systems, many small improvements and bug fixes.\\
- MPI v. 1.3 Dimitri Komatitsch, University of Pau, and Qinya Liu, Caltech, July 2005:
- serial version, regular mesh, adjoint and kernel calculations, ParaView support.\\
+MPI v. 2.0, November 2010: Dimitri Komatitsch, Nicolas Le Goff, Roland
+Martin and Pieyre Le Loher, University of Pau, France, Daniel Peter,
+Jeroen Tromp and the Princeton group of developers, Princeton University,
+USA, and Emanuele Casarotti, INGV Roma, Italy: support for CUBIT meshes
+decomposed by SCOTCH; much faster solver using Michel Deville's inlined
+matrix products.\\
- MPI v. 1.2 Min Chen and Dimitri Komatitsch, Caltech, July 2004:
- full anisotropy, volume movie.\\
- MPI v. 1.1 Dimitri Komatitsch, Caltech, October 2002: Zhu's Moho map, scaling
- of $V_s$ with depth, Hauksson's regional model, attenuation, oceans, movies.\\
+MPI v. 1.4 Dimitri Komatitsch, University of Pau, Qinya Liu and others,
+Caltech, September 2006: better adjoint and kernel calculations, faster
+and better I/Os on very large systems, many small improvements and
+bug fixes.\\
- MPI v. 1.0 Dimitri Komatitsch, Caltech, USA, May 2002: first MPI version based on global code.\\
- Dimitri Komatitsch, IPG Paris, France, December 1996: first 3-D solver for the CM-5 Connection Machine,
- parallelized on 128 processors using Connection Machine Fortran.\\
+MPI v. 1.3 Dimitri Komatitsch, University of Pau, and Qinya Liu, Caltech,
+July 2005: serial version, regular mesh, adjoint and kernel calculations,
+ParaView support.\\
-\addcontentsline{toc}{chapter}{References}
-\bibliography{bibliography}
+MPI v. 1.2 Min Chen and Dimitri Komatitsch, Caltech, July 2004: full
+anisotropy, volume movie.\\
+
+MPI v. 1.1 Dimitri Komatitsch, Caltech, October 2002: Zhu's Moho map,
+scaling of $V_{s}$ with depth, Hauksson's regional model, attenuation,
+oceans, movies.\\
+
+
+MPI v. 1.0 Dimitri Komatitsch, Caltech, USA, May 2002: first MPI version
+based on global code.\\
+
+
+Dimitri Komatitsch, IPG Paris, France, December 1996: first 3-D solver
+for the CM-5 Connection Machine, parallelized on 128 processors using
+Connection Machine Fortran.\\
+
+
+\addcontentsline{toc}{chapter}{References} \bibliography{bibliography}
+
+
\appendix
+%dummy comment inserted by tex2lyx to ensure that this paragraph is not empty
+
+
\chapter{\label{cha:Coordinates}Reference Frame Convention}
The code uses the following convention for the Cartesian reference
frame:
-
\begin{itemize}
-\item the $x$ axis points East
-\item the $y$ axis points North
-\item the $z$ axis points up
+\item the $x$ axis points East
+\item the $y$ axis points North
+\item the $z$ axis points up
\end{itemize}
Note that this convention is different from both the \citet{AkRi80}
convention and the Harvard Centroid-Moment Tensor (CMT) convention.
The Aki \& Richards convention is
-
\begin{itemize}
-\item the $x$ axis points North
-\item the $y$ axis points East
-\item the $z$ axis points down
+\item the $x$ axis points North
+\item the $y$ axis points East
+\item the $z$ axis points down
\end{itemize}
and the Harvard CMT convention is
-
\begin{itemize}
-\item the $x$ axis points South
-\item the $y$ axis points East
-\item the $z$ axis points up
+\item the $x$ axis points South
+\item the $y$ axis points East
+\item the $z$ axis points up
\end{itemize}
-
\subsection*{Source and receiver locations}
The SPECFEM3D Cartesian software code internally uses Cartesian coordinates.
The given locations for sources and receiver locations thus may get
-converted. Sources and receiver locations are read in from the
-\texttt{CMTSOLUTION} (or \texttt{FORCESOLUTION}) and \texttt{STATIONS}
-files. Note that e.g. the \texttt{CMTSOLUTION} and
-\texttt{FORCESOLUTION} files denotes the location by
-"longitude/latitude/depth". We read in longitude as $x$ coordinate,
-latitude as $y$ coordinate.
+converted. Sources and receiver locations are read in from the \texttt{CMTSOLUTION}
+(or \texttt{FORCESOLUTION}) and \texttt{STATIONS} files. Note that
+e.g. the \texttt{CMTSOLUTION} and \texttt{FORCESOLUTION} files denotes
+the location by \textquotedbl{}longitude/latitude/depth\textquotedbl{}.
+We read in longitude as $x$ coordinate, latitude as $y$ coordinate.
-
In case the flag \texttt{SUPPRESS\_UTM\_PROJECTION} is set to \texttt{.false.}
in the main parameter file (see Chapter~\ref{cha:Creating-Distributed-Databases}),
-the $x$/$y$ coordinates have to be given in degrees and are converted to Cartesian coordinates
-using a UTM conversion with the specified UTM zone.
+the $x$/$y$ coordinates have to be given in degrees and are converted
+to Cartesian coordinates using a UTM conversion with the specified
+UTM zone.
+The value for depth (given in $km$ in \texttt{CMTSOLUTION} and \texttt{FORCESOLUTION})
+or burial depth (given in $m$ in \texttt{STATIONS}) is evaluated
+with respect to the surface of the mesh at the specified $x$/$y$
+location to find the corresponding $z$ coordinate. It is possible
+to use this depth value directly as $z$ coordinate by changing the
+flag \texttt{USE\_SOURCES\_RECVS\_Z} to \texttt{.true.} in the file
+\texttt{constants.h} located in the \texttt{src/shared/} subdirectory.
-The value for depth (given in $km$ in \texttt{CMTSOLUTION} and
-\texttt{FORCESOLUTION}) or burial depth (given in $m$ in
-\texttt{STATIONS}) is evaluated with respect to the surface of the
-mesh at the specified $x$/$y$ location to find the corresponding $z$
-coordinate. It is possible to use this depth value directly as $z$
-coordinate by changing the flag \texttt{USE\_SOURCES\_RECVS\_Z} to
-\texttt{.true.} in the file \texttt{constants.h} located in the
-\texttt{src/shared/} subdirectory.
\subsection*{Seismogram outputs}
-The seismogram output directions are given in Cartesian $x$/$y$/$z$ directions and not rotated any further.
-Changing flags in \texttt{constants.h} in the \texttt{src/shared/} subdirectory only rotates the seismogram outputs
-if receivers are forced to be located at the surface (\texttt{RECVS\_CAN\_BE\_BURIED\_EXT\_MESH} set to \texttt{.false.}) and the normal to the surface at the receiver location should be used (\texttt{EXT\_MESH\_RECV\_NORMAL} set to
-\texttt{.true.}) as vertical. In this case, the outputs are rotated to have the vertical component normal to the surface of the mesh, $x$ and $y$ directions are somewhat arbitrary orthogonal directions along the surface.
+The seismogram output directions are given in Cartesian $x$/$y$/$z$
+directions and not rotated any further. Changing flags in \texttt{constants.h}
+in the \texttt{src/shared/} subdirectory only rotates the seismogram
+outputs if receivers are forced to be located at the surface (\texttt{RECVS\_CAN\_BE\_BURIED\_EXT\_MESH}
+set to \texttt{.false.}) and the normal to the surface at the receiver
+location should be used (\texttt{EXT\_MESH\_RECV\_NORMAL} set to \texttt{.true.})
+as vertical. In this case, the outputs are rotated to have the vertical
+component normal to the surface of the mesh, $x$ and $y$ directions
+are somewhat arbitrary orthogonal directions along the surface.
-For the labeling of the seismogram channels, see Appendix~\ref{cha:channel-codes}. Additionally, we add labels to the synthetics using the following convention:
-For a receiver station located in an
+For the labeling of the seismogram channels, see Appendix~\ref{cha:channel-codes}.
+Additionally, we add labels to the synthetics using the following
+convention: For a receiver station located in an
\begin{description}
-\item[elastic domain:] ~\\
+\item [{elastic domain:}] ~\\
+
+
\begin{itemize}
-\item \texttt{semd} for the displacement vector
-\item \texttt{semv} for the velocity vector
-\item \texttt{sema} for the acceleration vector
+\item \texttt{semd} for the displacement vector
+\item \texttt{semv} for the velocity vector
+\item \texttt{sema} for the acceleration vector
\end{itemize}
-\item[acoustic domain:] ~\\
-(please note that receiver stations in acoustic domains must be buried. This is due to the free surface condition which enforces a zero pressure at the surface.)
+\item [{acoustic domain:}] ~\\
+ (please note that receiver stations in acoustic domains must be buried.
+This is due to the free surface condition which enforces a zero pressure
+at the surface.)
+
\begin{itemize}
-\item \texttt{semd} for the displacement vector
-\item \texttt{semv} for the velocity vector
-\item \texttt{sema} for pressure which will be stored in the vertical component \texttt{Z}. Note that pressure in the acoustic media is isotropic and thus the pressure record would be the same in the other two component directions. We therefore use the other two seismogram components to store the acoustic potential in component \texttt{X} (or \texttt{N}) and the first time derivative of the acoustic potential in component \texttt{Y} (or \texttt{E}).
+\item \texttt{semd} for the displacement vector
+\item \texttt{semv} for the velocity vector
+\item \texttt{sema} for pressure which will be stored in the vertical component
+\texttt{Z}. Note that pressure in the acoustic media is isotropic
+and thus the pressure record would be the same in the other two component
+directions. We therefore use the other two seismogram components to
+store the acoustic potential in component \texttt{X} (or \texttt{N})
+and the first time derivative of the acoustic potential in component
+\texttt{Y} (or \texttt{E}).
\end{itemize}
\end{description}
-The seismograms are by default written out in ASCII-format to the \texttt{OUTPUT\_FILES/} subdirectory by each parallel process. You can change this behavior by changing the following flags in the \texttt{constants.h} file located in the \texttt{src/shared/} subdirectory:
+The seismograms are by default written out in ASCII-format to the
+\texttt{OUTPUT\_FILES/} subdirectory by each parallel process. You
+can change this behavior by changing the following flags in the \texttt{constants.h}
+file located in the \texttt{src/shared/} subdirectory:
\begin{description}
-\item [{\texttt{SEISMOGRAMS\_BINARY}}] set to \texttt{.true.} to have seismograms written out in binary format.
-\item [{\texttt{WRITE\_SEISMOGRAMS\_BY\_MASTER}}] Set to \texttt{.true.} to have only the master process writing out seismograms. This can be useful on a cluster, where only the master process node has access to the output directory.
-\item [{\texttt{USE\_OUTPUT\_FILES\_PATH}}] Set to \texttt{.false.} to have the seismograms output to \texttt{LOCAL\_PATH} directory specified in the main parameter file \texttt{DATA/Par\_file}.
+\item [{\texttt{SEISMOGRAMS\_BINARY}}] set to \texttt{.true.} to have seismograms
+written out in binary format.
+\item [{\texttt{WRITE\_SEISMOGRAMS\_BY\_MASTER}}] Set to \texttt{.true.}
+to have only the master process writing out seismograms. This can
+be useful on a cluster, where only the master process node has access
+to the output directory.
+\item [{\texttt{USE\_OUTPUT\_FILES\_PATH}}] Set to \texttt{.false.} to
+have the seismograms output to \texttt{LOCAL\_PATH} directory specified
+in the main parameter file \texttt{DATA/Par\_file}.
\end{description}
+\chapter{\label{cha:channel-codes}Channel Codes of Seismograms}
+Seismic networks, such as the Global Seismographic Network (GSN),
+generally involve various types of instruments with different bandwidths,
+sampling properties and component configurations. There are standards
+to name channel codes depending on instrument properties. IRIS \texttt{(www.iris.edu)}
+uses SEED format for channel codes, which are represented by three
+letters, such as \texttt{LHN}, \texttt{BHZ}, etc. In older versions
+of the SPECFEM3D Cartesian package, a common format was used for the
+channel codes of all seismograms, which was \texttt{BHE/BHN/BHZ} for
+three components. To avoid confusion when comparison are made to observed
+data, we are now using the FDSN convention (\url{http://www.fdsn.org/})
+for SEM seismograms. In the following, we give a brief explanation
+of the FDSN convention used by IRIS, and how it is adopted in SEM
+seismograms. Please visit \texttt{www.iris.edu/manuals/SEED\_appA.htm}
+for further information.\\
-\chapter{\label{cha:channel-codes}Channel Codes of Seismograms}
-Seismic networks, such as the Global Seismographic Network (GSN), generally involve various types of instruments with different bandwidths, sampling properties and component configurations. There are standards to name channel codes depending on instrument properties. IRIS \texttt{(www.iris.edu)} uses SEED format for channel codes, which are represented by three letters, such as \texttt{LHN}, \texttt{BHZ}, etc. In older versions of the SPECFEM3D Cartesian package, a common format was used for the channel codes of all seismograms, which was \texttt{BHE/BHN/BHZ} for three components. To avoid confusion when comparison are made to observed data, we are now using the FDSN convention (\url{http://www.fdsn.org/}) for SEM seismograms. In the following, we give a brief explanation of the FDSN convention used by IRIS, and how it is adopted in SEM seismograms. Please visit \texttt{www.iris.edu/manuals/SEED\_appA.htm} for further information.\\
+\noindent \texttt{\textbf{Band code:}} The first letter in the channel
+code denotes the band code of seismograms, which depends on the response
+band and the sampling rate of instruments. The list of band codes
+used by IRIS is shown in Figure \ref{fig:IRIS_band_codes}. The sampling
+rate of SEM synthetics is controlled by the resolution of simulations
+rather than instrument properties. However, for consistency, we follow
+the FDSN convention for SEM seismograms governed by their sampling
+rate. For SEM synthetics, we consider band codes for which $dt\leq1$
+s. IRIS also considers the response band of instruments. For instance,
+short-period and broad-band seismograms with the same sampling rate
+correspond to different band codes, such as S and B, respectively.
+In such cases, we consider SEM seismograms as broad band, ignoring
+the corner period ($\geq10$ s) of the response band of instruments
+(note that at these resolutions, the minimum period in the SEM synthetics
+will be less than $10$ s). Accordingly, when you run a simulation
+the band code will be chosen depending on the resolution of the synthetics,
+and channel codes of SEM seismograms will start with either \texttt{L},
+\texttt{M}, \texttt{B}, \texttt{H}, \texttt{C} or \texttt{F}, shown
+by red color in the figure.\\
-\noindent \textbf{\texttt{Band code:}} The first letter in the channel code denotes the band code of seismograms, which depends on the response band and the sampling rate of instruments. The list of band codes used by IRIS is shown in Figure \ref{fig:IRIS_band_codes}. The sampling rate of SEM synthetics is controlled by the resolution of simulations rather than instrument properties. However, for consistency, we follow the FDSN convention for SEM seismograms governed by their sampling rate. For SEM synthetics, we consider band codes for which $dt \leq 1$ s. IRIS also considers the response band of instruments. For instance, short-period and broad-band seismograms with the same sampling rate correspond to different band codes, such as S and B, respectively. In such cases, we consider SEM seismograms as broad band, ignoring the corner period ($\geq 10$ s) of the response band of instruments (note that at these resolutions, the minimum period in the SEM synthetics will be less than $10$ s). Accordingly, when
-you run a simulation the band code will be chosen depending on the resolution of the synthetics, and channel codes of SEM seismograms will start with either \texttt{L}, \texttt{M}, \texttt{B}, \texttt{H}, \texttt{C} or \texttt{F}, shown by red color in the figure.\\
\begin{figure}[ht]
\noindent \begin{centering}
-\includegraphics[scale=0.6]{figures/IRIS_band_codes.pdf}
+\includegraphics[scale=0.6]{figures/IRIS_band_codes}
\par\end{centering}
-\caption{The band code convention is based on the sampling rate and the response band of instruments. Please visit \texttt{www.iris.edu/manuals/SEED\_appA.htm} for further information. Grey rows show the relative band-code range in SPECFEM3D Cartesian, and the band codes used to name SEM seismograms are denoted in red.}
+\caption{The band code convention is based on the sampling rate and the response
+band of instruments. Please visit \texttt{www.iris.edu/manuals/SEED\_appA.htm}
+for further information. Grey rows show the relative band-code range
+in SPECFEM3D Cartesian, and the band codes used to name SEM seismograms
+are denoted in red.}
-\label{fig:IRIS_band_codes}
+
+\label{fig:IRIS_band_codes}
\end{figure}
-\noindent \textbf{\texttt{Instrument code:}} The second letter in the channel code corresponds to instrument codes, which specify the family to which the sensor belongs. For instance, \texttt{H} and \texttt{L} are used for high-gain and low-gain seismometers, respectively. The instrument code of SEM seismograms will always be \texttt{X}, as assigned by FDSN for synthetic seismograms. \\
-\noindent \textbf{\texttt{Orientation code:}} The third letter in channel codes is an orientation code, which generally describes the physical configuration of the components of instrument packages. SPECFEM3D Cartesian uses the traditional orientation code \texttt{E/N/Z} (East-West, North-South, Vertical) for three components when a UTM projection is used. If the UTM conversion is suppressed, i.e.
-the flag \texttt{SUPPRESS\_UTM\_PROJECTION} is set to \texttt{.true.}, then the three components are labelled \texttt{X/Y/Z} according to the Cartesian reference frame. \\
+\noindent \texttt{\textbf{Instrument code:}} The second letter in
+the channel code corresponds to instrument codes, which specify the
+family to which the sensor belongs. For instance, \texttt{H} and \texttt{L}
+are used for high-gain and low-gain seismometers, respectively. The
+instrument code of SEM seismograms will always be \texttt{X}, as assigned
+by FDSN for synthetic seismograms. \\
-\noindent \textbf{\texttt{EXAMPLE:}} The sampling rate is given by \texttt{DT} in the main parameter file \texttt{Par\_file} located in the \texttt{DATA/} subdirectory. Depending on the resolution of your simulations, if you choose a sampling rate greater than $0.01$ s and less than $1$ s, a seismogram recording displacements on the vertical component of a station \texttt{ASBS} (network \texttt{AZ}) will be named \texttt{ASBS.AZ.MXZ.semd.sac}, whereas it will be \texttt{ASBS.AZ.BXZ.semd.sac}, if the sampling rate is greater than 0.0125 and less equal to 0.1 s.
+\noindent \texttt{\textbf{Orientation code:}} The third letter in
+channel codes is an orientation code, which generally describes the
+physical configuration of the components of instrument packages. SPECFEM3D
+Cartesian uses the traditional orientation code \texttt{E/N/Z} (East-West,
+North-South, Vertical) for three components when a UTM projection
+is used. If the UTM conversion is suppressed, i.e. the flag \texttt{SUPPRESS\_UTM\_PROJECTION}
+is set to \texttt{.true.}, then the three components are labelled
+\texttt{X/Y/Z} according to the Cartesian reference frame. \\
+\noindent \texttt{\textbf{EXAMPLE:}} The sampling rate is given by
+\texttt{DT} in the main parameter file \texttt{Par\_file} located
+in the \texttt{DATA/} subdirectory. Depending on the resolution of
+your simulations, if you choose a sampling rate greater than $0.01$
+s and less than $1$ s, a seismogram recording displacements on the
+vertical component of a station \texttt{ASBS} (network \texttt{AZ})
+will be named \texttt{ASBS.AZ.MXZ.semd.sac}, whereas it will be \texttt{ASBS.AZ.BXZ.semd.sac},
+if the sampling rate is greater than 0.0125 and less equal to 0.1
+s.
+
+
\chapter{\label{cha:Troubleshooting}Troubleshooting}
\section*{FAQ}
-
\begin{description}
-\item [configuration fails:]
+\item [{configuration fails:}]~
- Examine the log file 'config.log'. It contains detailed informations.
- In many cases, the paths to these specific compiler commands F90,
- CC and MPIF90 will not be correct if `./configure` fails.
- Please make sure that you have a working installation of a Fortran compiler,
- a C compiler and an MPI implementation. You should be able to compile this
- little program code:
+Examine the log file 'config.log'. It contains detailed informations.
+In many cases, the paths to these specific compiler commands F90,
+CC and MPIF90 will not be correct if `./configure` fails.
+
+Please make sure that you have a working installation of a Fortran
+compiler, a C compiler and an MPI implementation. You should be able
+to compile this little program code:
\begin{lyxcode}
+program~main~~~\\
+~include~'mpif.h'~~~\\
+~integer,~parameter~::~CUSTOM\_MPI\_TYPE~=~MPI\_REAL~~~\\
+~integer~ier~~~\\
+~call~MPI\_INIT(ier)~~~\\
+~call~MPI\_BARRIER(MPI\_COMM\_WORLD,ier)~~~\\
+~call~MPI\_FINALIZE(ier)~~~\\
+~end
+\end{lyxcode}
+\item [{compilation fails stating:}] ~\\
+
- program main ~\\
- include 'mpif.h' ~\\
- integer, parameter :: CUSTOM\_MPI\_TYPE = MPI\_REAL ~\\
- integer ier ~\\
- call MPI\_INIT(ier) ~\\
- call MPI\_BARRIER(MPI\_COMM\_WORLD,ier) ~\\
- call MPI\_FINALIZE(ier) ~\\
- end
+\begin{lyxcode}
+...~~~\\
+~obj/program\_generate\_databases.o:~In~function~`MAIN\_\_':~~~\\
+~program\_generate\_databases.f90:(.text+0x14):~undefined~reference~to~`\_gfortran\_set\_std'~~~\\
+~...~~~\\
\end{lyxcode}
+Make sure you're pointing to the right 'mpif90' wrapper command.
-\item [compilation fails stating:] ~\\
-\begin{lyxcode}
- ... ~\\
- obj/program\_generate\_databases.o: In function `MAIN\_\_': ~\\
- program\_generate\_databases.f90:(.text+0x14): undefined reference to `\_gfortran\_set\_std' ~\\
- ... ~\\
-\end{lyxcode}
- Make sure you're pointing to the right 'mpif90' wrapper command.
+Normally, this message will appear when you are mixing two different
+Fortran compilers. That is, using e.g. gfortran to compile non-MPI
+files and mpif90, wrapper provided for e.g. ifort, to compile MPI-files.
- Normally, this message will appear when you are mixing two different Fortran
- compilers. That is, using e.g. gfortran to compile non-MPI files
- and mpif90, wrapper provided for e.g. ifort, to compile MPI-files.
- fix: e.g. specify > ./configure FC=gfortran MPIF90=/usr/local/openmpi-gfortran/bin/mpif90
+fix: e.g. specify > ./configure FC=gfortran MPIF90=/usr/local/openmpi-gfortran/bin/mpif90
+\item [{after executing \texttt{xmeshfem3D} I've got elements with skewness of 81\% percent, what does this mean:}] Look
+at the skewness table printed in the \texttt{output\_mesher.txt} file
+after executing \texttt{xmeshfem3D} for the example given in \texttt{examples/meshfem3D\_examples/simple\_model/}:
-\item [after executing \texttt{xmeshfem3D} I've got elements with skewness of 81\% percent, what does this mean:]
-Look at the skewness table printed in the \texttt{output\_mesher.txt} file after executing \texttt{xmeshfem3D} for the
-example given in \texttt{examples/meshfem3D\_examples/simple\_model/}:
\begin{lyxcode}
-...~\\
-histogram of skewness (0. good - 1. bad): ~\\
- 0.0000000E+00 - 5.0000001E-02 27648 81.81818 \% ~\\
- 5.0000001E-02 - 0.1000000 0 0.0000000E+00 \% ~\\
-... ~\\
+...~~\\
+~histogram~of~skewness~(0.~good~-~1.~bad):~~~\\
+~0.0000000E+00~-~5.0000001E-02~27648~81.81818~\%~~~\\
+~5.0000001E-02~-~0.1000000~0~0.0000000E+00~\%~~~\\
+~...~~~\\
+
\end{lyxcode}
-The first line means that you have 27,648 elements with a skewness value between 0 and 0.05 (which means the element is basically not skewed, just plain regular hexahedral element). The total number of elements you have in this mesh is (see in the \texttt{output\_mesher.txt} file a bit further down):
+
+The first line means that you have 27,648 elements with a skewness
+value between 0 and 0.05 (which means the element is basically not
+skewed, just plain regular hexahedral element). The total number of
+elements you have in this mesh is (see in the \texttt{output\_mesher.txt}
+file a bit further down):
\begin{lyxcode}
-...~\\
-total number of elements in entire mesh: 33792 ~\\
-... ~\\
+...~~\\
+~total~number~of~elements~in~entire~mesh:~33792~~~\\
+~...~~~\\
+
\end{lyxcode}
-which gives you that: 27,648 / 33,792 $\sim$ 81.8 \% of all elements are not skewed, i.e. regular elements. a fantastic value :)
-The histogram lists for this mesh also some stronger skewed elements, for example the worst ones belong to:
+which gives you that: 27,648 / 33,792 $\sim$ 81.8 \% of all elements
+are not skewed, i.e. regular elements. a fantastic value :)
+
+
+The histogram lists for this mesh also some stronger skewed elements,
+for example the worst ones belong to:
\begin{lyxcode}
-...~\\
-0.6000000 - 0.6500000 2048 6.060606 \% ~\\
-... ~\\
+...~~\\
+~0.6000000~-~0.6500000~2048~6.060606~\%~~~\\
+~...~~~\\
+
\end{lyxcode}
-about 6 \% of all elements have distortions with a skewness value between 0.6 and 0.65. The skewness values give you a hint of how good your mesh is. In an ideal world, you would want to have no distortions, just like the 81\% from above. Those elements give you the best approximate values by the GLL quadrature used in the spectral-element method. However, having weakly distorted elements is still fine and the solutions are still accurate enough. So empirically, values up to around 0.7 are tolerable, above that you should consider remeshing...
+about 6 \% of all elements have distortions with a skewness value
+between 0.6 and 0.65. The skewness values give you a hint of how good
+your mesh is. In an ideal world, you would want to have no distortions,
+just like the 81\% from above. Those elements give you the best approximate
+values by the GLL quadrature used in the spectral-element method.
+However, having weakly distorted elements is still fine and the solutions
+are still accurate enough. So empirically, values up to around 0.7
+are tolerable, above that you should consider remeshing...
-To give you an idea why some of the elements are distorted, see the following figure \ref{fig:mesh.vp} of the mesh you obtain in the example \texttt{examples/meshfem3D\_examples/simple\_model/}.
+
+To give you an idea why some of the elements are distorted, see the
+following figure \ref{fig:mesh.vp} of the mesh you obtain in the
+example \texttt{examples/meshfem3D\_examples/simple\_model/}.
\begin{figure}[htbp]
\noindent \begin{centering}
-\includegraphics[width=.9\textwidth]{figures/mesh_vp.jpg}
+\includegraphics[width=0.9\textwidth]{figures/mesh_vp}
\par\end{centering}
-\caption{Paraview visualization using the mesh vtk-files for the example given in \texttt{examples/meshfem3D\_examples/simple\_model/}.}
-\label{fig:mesh.vp}
+
+\caption{Paraview visualization using the mesh vtk-files for the example given
+in \texttt{examples/meshfem3D\_examples/simple\_model/}.}
+
+
+\label{fig:mesh.vp}
\end{figure}
-You will see that the mesh contains a doubling layer, where we stitch elements together such that the size of two elements will transition to the size of one element (very useful to keep the ratio of wavespeed / element\_size about constant). Those elements in this doubling layer have higher skewness values and make up those 6 \% in the histogram.
-\item [the code gives following error message "need at least one receiver":]
-This means that no stations given in the input file \texttt{DATA/STATIONS} could be located within the dimensions of the mesh. This can happen for example when the mesh was created with the in-house mesher \texttt{xmeshfem3D} while using the Universal Transverse Mercator (UTM) projection but the simulation with \texttt{xspecfem3D} was suppressing this projection from latitude/longitude to x/y/z coordinates.
-In such cases, try to change your \texttt{DATA/Par\_file} and set e.g.:
-\begin{lyxcode}
-SUPPRESS\_UTM\_PROJECTION = .false. ~\\
-\end{lyxcode}
-to be the same in \texttt{Mesh\_Par\_file} and \texttt{Par\_file}. This flag should be identical when using the in-house mesher \texttt{xmeshfem3D}, \texttt{xgenerate\_databases} and \texttt{xspecfem3D} together to run simulations.
-The flag determines if the coordinates you specify for your source and station locations are given as lat/lon degrees and
-must be converted to UTM coordinates. As an example, if you use \texttt{.false.} within \texttt{Mesh\_Par\_file} then you create a mesh with \texttt{xmeshfem3D} using the UTM projection from lat/lon as input format to UTM projected coordinates to store the mesh point positions, which is fine. The error then may occur if in the \texttt{Par\_file} you have this set to \texttt{.true.} so that the \texttt{xgenerate\_databases} and \texttt{xspecfem3D} suppress the UTM projection and assume that all coordinates you use now for source and receiver locations are given in meters (that is, converted) already. So it won't find the specified locations in the used mesh. As a solutions, just change the flag in \texttt{Par\_file} to be the same as in \texttt{Mesh\_Par\_file} and rerun \texttt{xgenerate\_databases} and \texttt{xspecfem3D} to make sure that your simulation works fine.
+You will see that the mesh contains a doubling layer, where we stitch
+elements together such that the size of two elements will transition
+to the size of one element (very useful to keep the ratio of wavespeed
+/ element\_size about constant). Those elements in this doubling layer
+have higher skewness values and make up those 6 \% in the histogram.
+\item [{the code gives following error message "need at least one receiver":}] This
+means that no stations given in the input file \texttt{DATA/STATIONS}
+could be located within the dimensions of the mesh. This can happen
+for example when the mesh was created with the in-house mesher \texttt{xmeshfem3D}
+while using the Universal Transverse Mercator (UTM) projection but
+the simulation with \texttt{xspecfem3D} was suppressing this projection
+from latitude/longitude to x/y/z coordinates.
-\item [I get the following error message "forward simulation became unstable and blew up":]
-In most cases this means that your time step size \texttt{DT} is chosen too big. Look at your files \texttt{output\_mesher.txt} or \texttt{output\_solver.txt} created in the folder \texttt{OUTPUT\_FILES}. In these output files, find the section:
+
+In such cases, try to change your \texttt{DATA/Par\_file} and set
+e.g.:
\begin{lyxcode}
-... ~\\
-********************************************* ~\\
-*** Verification of simulation parameters *** ~\\
-********************************************* ~\\
-... ~\\
-*** Minimum period resolved = 4.308774 ~\\
-*** Maximum suggested time step = 6.8863556E-02 ~\\
-... ~\\
-... ~\\
+SUPPRESS\_UTM\_PROJECTION~=~.false.~~~\\
+
\end{lyxcode}
-then change \texttt{DT} in the \texttt{DATA/Par\_file} to be somewhere close to the maximum suggested time step. In the example above: \\
-\texttt{DT = 0.05d0} \\
-would (most probably) work fine. It could be also bigger than the 0.068 s suggested. This depends a bit on the distortions of
-your mesh elements. The more regular they are, the bigger you can choose \texttt{DT}. Just play with this value a bit and see
-when the simulation becomes stable ...
+to be the same in \texttt{Mesh\_Par\_file} and \texttt{Par\_file}.
+This flag should be identical when using the in-house mesher \texttt{xmeshfem3D},
+\texttt{xgenerate\_databases} and \texttt{xspecfem3D} together to
+run simulations.
+The flag determines if the coordinates you specify for your source
+and station locations are given as lat/lon degrees and must be converted
+to UTM coordinates. As an example, if you use \texttt{.false.} within
+\texttt{Mesh\_Par\_file} then you create a mesh with \texttt{xmeshfem3D}
+using the UTM projection from lat/lon as input format to UTM projected
+coordinates to store the mesh point positions, which is fine. The
+error then may occur if in the \texttt{Par\_file} you have this set
+to \texttt{.true.} so that the \texttt{xgenerate\_databases} and \texttt{xspecfem3D}
+suppress the UTM projection and assume that all coordinates you use
+now for source and receiver locations are given in meters (that is,
+converted) already. So it won't find the specified locations in the
+used mesh. As a solutions, just change the flag in \texttt{Par\_file}
+to be the same as in \texttt{Mesh\_Par\_file} and rerun \texttt{xgenerate\_databases}
+and \texttt{xspecfem3D} to make sure that your simulation works fine.
+\item [{I get the following error message "forward simulation became unstable and blew up":}] In
+most cases this means that your time step size \texttt{DT} is chosen
+too big. Look at your files \texttt{output\_mesher.txt} or \texttt{output\_solver.txt}
+created in the folder \texttt{OUTPUT\_FILES}. In these output files,
+find the section:
-\end{description}
+\begin{lyxcode}
+...~~~\\
+~{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}~~~\\
+~{*}{*}{*}~Verification~of~simulation~parameters~{*}{*}{*}~~~\\
+~{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}{*}~~~\\
+~...~~~\\
+~{*}{*}{*}~Minimum~period~resolved~=~4.308774~~~\\
+~{*}{*}{*}~Maximum~suggested~time~step~=~6.8863556E-02~~~\\
+~...~~~\\
+~...~~~\\
+\end{lyxcode}
+then change \texttt{DT} in the \texttt{DATA/Par\_file} to be somewhere
+close to the maximum suggested time step. In the example above: \\
+ \texttt{DT = 0.05d0} \\
+ would (most probably) work fine. It could be also bigger than the
+0.068 s suggested. This depends a bit on the distortions of your mesh
+elements. The more regular they are, the bigger you can choose \texttt{DT}.
+Just play with this value a bit and see when the simulation becomes
+stable ...
+\end{description}
+
\chapter{\label{cha:License}License }
\textbf{GNU GENERAL PUBLIC LICENSE Version 2, June 1991. Copyright
(C) 1989, 1991 Free Software Foundation, Inc. 59 Temple Place, Suite
330, Boston, MA 02111-1307 USA} \\
-Everyone is permitted to copy and distribute verbatim copies of this
+ Everyone is permitted to copy and distribute verbatim copies of this
license document, but changing it is not allowed.
@@ -4017,11 +4494,10 @@
code. And you must show them these terms so they know their rights.
We protect your rights with two steps:
-
\begin{enumerate}
-\item Copyright the software, and
+\item Copyright the software, and
\item Offer you this license which gives you legal permission to copy, distribute
-and/or modify the software.
+and/or modify the software.
\end{enumerate}
Also, for each author's protection and ours, we want to make certain
that everyone understands that there is no warranty for this free
@@ -4042,28 +4518,23 @@
\section*{GNU GENERAL PUBLIC LICENSE TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION
AND MODIFICATION }
-
\begin{itemize}
-
-\item[0.]This License applies to any program or other work which
-contains a notice placed by the copyright holder saying it may be
-distributed under the terms of this General Public License. The ``Program''
+\item 0.This License applies to any program or other work which contains
+a notice placed by the copyright holder saying it may be distributed
+under the terms of this General Public License. The ``Program''
below refers to any such program or work, and a ``work based on the
Program'' means either the Program or any derivative work under copyright
law: that is to say, a work containing the Program or a portion of
it, either verbatim or with modifications and/or translated into another
language. (Hereinafter, translation is included without limitation
in the term ``modification.'') Each licensee is addressed as ``you.''\\
-\\
-Activities other than copying, distribution and modification are not
-covered by this License; they are outside its scope. The act of running
-the Program is not restricted, and the output from the Program is
-covered only if its contents constitute a work based on the Program
+ \\
+ Activities other than copying, distribution and modification are
+not covered by this License; they are outside its scope. The act of
+running the Program is not restricted, and the output from the Program
+is covered only if its contents constitute a work based on the Program
(independent of having been made by running the Program). Whether
-that is true depends on what the Program does.
-
-\end{itemize}
-
+that is true depends on what the Program does.\end{itemize}
\begin{enumerate}
\item You may copy and distribute verbatim copies of the Program's source
code as you receive it, in any medium, provided that you conspicuously
@@ -4084,11 +4555,11 @@
\begin{enumerate}
\item You must cause the modified files to carry prominent notices stating
-that you changed the files and the date of any change.
+that you changed the files and the date of any change.
\item You must cause any work that you distribute or publish, that in whole
or in part contains or is derived from the Program or any part thereof,
to be licensed as a whole at no charge to all third parties under
-the terms of this License.
+the terms of this License.
\item If the modified program normally reads commands interactively when
run, you must cause it, when started running for such interactive
use in the most ordinary way, to print or display an announcement
@@ -4097,8 +4568,9 @@
users may redistribute the program under these conditions, and telling
the user how to view a copy of this License. (Exception: if the Program
itself is interactive but does not normally print such an announcement,
-your work based on the Program is not required to print an announcement.)
+your work based on the Program is not required to print an announcement.)
\end{enumerate}
+
These requirements apply to the modified work as a whole. If identifiable
sections of that work are not derived from the Program, and can be
reasonably considered independent and separate works in themselves,
@@ -4109,11 +4581,13 @@
whose permissions for other licensees extend to the entire whole,
and thus to each and every part regardless of who wrote it.
+
Thus, it is not the intent of this section to claim rights or contest
your rights to work written entirely by you; rather, the intent is
to exercise the right to control the distribution of derivative or
collective works based on the Program.
+
In addition, mere aggregation of another work not based on the Program
with the Program (or with a work based on the Program) on a volume
of a storage or distribution medium does not bring the other work
@@ -4126,19 +4600,20 @@
\begin{enumerate}
\item Accompany it with the complete corresponding machine-readable source
code, which must be distributed under the terms of Sections 1 and
-2 above on a medium customarily used for software interchange; or,
+2 above on a medium customarily used for software interchange; or,
\item Accompany it with a written offer, valid for at least three years,
to give any third party, for a charge no more than your cost of physically
performing source distribution, a complete machine-readable copy of
the corresponding source code, to be distributed under the terms of
Sections 1 and 2 above on a medium customarily used for software interchange;
-or,
+or,
\item Accompany it with the information you received as to the offer to
distribute corresponding source code. (This alternative is allowed
only for noncommercial distribution and only if you received the program
in object code or executable form with such an offer, in accord with
-Subsection b above.)
+Subsection b above.)
\end{enumerate}
+
The source code for a work means the preferred form of the work for
making modifications to it. For an executable work, complete source
code means all the source code for all modules it contains, plus any
@@ -4150,6 +4625,7 @@
on which the executable runs, unless that component itself accompanies
the executable.
+
If distribution of executable or object code is made by offering access
to copy from a designated place, then offering equivalent access to
copy the source code from the same place counts as distribution of
@@ -4162,7 +4638,7 @@
automatically terminate your rights under this License. However, parties
who have received copies, or rights, from you under this License will
not have their licenses terminated so long as such parties remain
-in full compliance.
+in full compliance.
\item You are not required to accept this License, since you have not signed
it. However, nothing else grants you permission to modify or distribute
the Program or its derivative works. These actions are prohibited
@@ -4170,13 +4646,13 @@
or distributing the Program (or any work based on the Program), you
indicate your acceptance of this License to do so, and all its terms
and conditions for copying, distributing or modifying the Program
-or works based on it.
+or works based on it.
\item Each time you redistribute the Program (or any work based on the Program),
the recipient automatically receives a license from the original licensor
to copy, distribute or modify the Program subject to these terms and
conditions. You may not impose any further restrictions on the recipients'
exercise of the rights granted herein. You are not responsible for
-enforcing compliance by third parties to this License.
+enforcing compliance by third parties to this License.
\item If, as a consequence of a court judgment or allegation of patent infringement
or for any other reason (not limited to patent issues), conditions
are imposed on you (whether by court order, agreement or otherwise)
@@ -4196,6 +4672,7 @@
to apply and the section as a whole is intended to apply in other
circumstances.
+
It is not the purpose of this section to induce you to infringe any
patents or other property right claims or to contest validity of any
such claims; this section has the sole purpose of protecting the integrity
@@ -4206,6 +4683,7 @@
to decide if he or she is willing to distribute software through any
other system and a licensee cannot impose that choice.
+
This section is intended to make thoroughly clear what is believed
to be a consequence of the rest of this License.
@@ -4215,7 +4693,7 @@
an explicit geographical distribution limitation excluding those countries,
so that distribution is permitted only in or among countries not thus
excluded. In such case, this License incorporates the limitation as
-if written in the body of this License.
+if written in the body of this License.
\item The Free Software Foundation may publish revised and/or new versions
of the General Public License from time to time. Such new versions
will be similar in spirit to the present version, but may differ in
@@ -4236,36 +4714,31 @@
Software Foundation, write to the Free Software Foundation; we sometimes
make exceptions for this. Our decision will be guided by the two goals
of preserving the free status of all derivatives of our free software
-and of promoting the sharing and reuse of software generally.
+and of promoting the sharing and reuse of software generally.
\end{enumerate}
\subsection*{NO WARRANTY }
-
\begin{itemize}
-
-\item[11.]BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS
-NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE
-LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS
-AND/OR OTHER PARTIES PROVIDE THE PROGRAM ``AS IS'' WITHOUT WARRANTY
-OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED
-TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
-PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE
-PROGRAM IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME
-THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
-
-\item[12.]IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED
-TO IN WRITING WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY
-MODIFY AND/OR REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE
-TO YOU FOR DAMAGES, INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR
-CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OR INABILITY TO USE THE
-PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF DATA OR DATA BEING RENDERED
-INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A FAILURE
-OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), EVEN IF SUCH HOLDER
-OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES.
-
+\item 11.BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
+FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT
+WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER
+PARTIES PROVIDE THE PROGRAM ``AS IS'' WITHOUT WARRANTY OF ANY KIND,
+EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
+THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS
+WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST
+OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
+\item 12.IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
+REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR
+DAMAGES, INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL
+DAMAGES ARISING OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING
+BUT NOT LIMITED TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE
+OR LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM
+TO OPERATE WITH ANY OTHER PROGRAMS), EVEN IF SUCH HOLDER OR OTHER
+PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES.
\end{itemize}
-
\section*{END OF TERMS AND CONDITIONS }
@@ -4279,9 +4752,8 @@
To do so, attach the following notices to the program. It is safest
to attach them to the start of each source file to most effectively
convey the exclusion of warranty; and each file should have at least
-the ``copyright'' line and a pointer to where the full notice is found.
-For example:
-
+the ``copyright'' line and a pointer to where the full notice is
+found. For example:
\begin{quote}
One line to give the program's name and a brief idea of what it does.
Copyright {\footnotesize $\copyright$ (}year) (name of author)
@@ -4298,19 +4770,18 @@
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software Foundation,
-Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
\end{quote}
Also add information on how to contact you by electronic and paper
mail.
If the program is interactive, make it output a short notice like
this when it starts in an interactive mode:
-
\begin{quote}
-Gnomovision version 69, Copyright $\copyright$ year name of author Gnomovision
-comes with ABSOLUTELY NO WARRANTY; for details type `show w'. This
-is free software, and you are welcome to redistribute it under certain
-conditions; type `show c' for details.
+Gnomovision version 69, Copyright $\copyright$ year name of author
+Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show
+w'. This is free software, and you are welcome to redistribute it
+under certain conditions; type `show c' for details.
\end{quote}
The hypothetical commands `show w' and `show c' should show the appropriate
parts of the General Public License. Of course, the commands you use
@@ -4318,20 +4789,19 @@
even be mouse-clicks or menu items -- whatever suits your program.
You should also get your employer (if you work as a programmer) or
-your school, if any, to sign a ``copyright disclaimer'' for the program,
-if necessary. Here is a sample; alter the names:
-
+your school, if any, to sign a ``copyright disclaimer'' for the
+program, if necessary. Here is a sample; alter the names:
\begin{quote}
Yoyodyne, Inc., hereby disclaims all copyright interest in the program
`Gnomovision' (which makes passes at compilers) written by James Hacker.
(signature of Ty Coon)\\
-1 April 1989 \\
-Ty Coon, President of Vice
+ 1 April 1989 \\
+ Ty Coon, President of Vice
\end{quote}
This General Public License does not permit incorporating your program
into proprietary programs. If your program is a subroutine library,
you may consider it more useful to permit linking proprietary applications
with the library. If this is what you want to do, use the GNU Library
-General Public License instead of this License.
+General Public License instead of this License.
\end{document}
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