[cig-commits] commit: Started work on text for introduction.

[Mercurial]

changeset:   45:1235dee8e4dd
tag:         tip
user:        Brad Aagaard <baagaard at usgs.gov>
date:        Thu Jul 21 11:35:17 2011 -0700
files:       faultRup.tex
description:
Started work on text for introduction.


diff -r 85fd9a70ca05 -r 1235dee8e4dd faultRup.tex
--- a/faultRup.tex	Tue Jul 05 18:47:15 2011 -0500
+++ b/faultRup.tex	Thu Jul 21 11:35:17 2011 -0700
@@ -34,13 +34,63 @@
 
 \begin{abstract}
 % maximum of 250 words
-  Focus on fault implementation and show how it colors all our computational and code decisions.
+  Focus on fault implementation and show how it colors all our
+  computational and code decisions.
 \end{abstract}
   
 \iftwocolumn % 2 columns
   \begin{multicols}{2}
 \fi
 
+% ------------------------------------------------------------------
+\section{Introduction}\brad{Rough draft}
+
+model earthquake cycle; slow deformation associated with interseismic
+behavior and coseismic slip; rapid deformation associated with earthquake rupture
+propagation; want general capabilities of modeling elasticity with
+slip on faults, including elastic, viscoelastic, and
+viscoelastoplastic deformation and prescribed slip and/or spontaneous
+rupture controlled by fault constitutive model. 
+
+Researchers recognized for quite some time that interseismic
+deformation and fault interactions influence earthquake rupture
+propagation and the dynamics of rupture propagation in turn affect
+postseismic deformation. In most cases one simplifies some portion of
+the process to expedite the results. Seismicity simulators;
+postseismic deformation; spontaneous rupture.
+
+[mention PyLith somewhere in here]
+
+Our long-term objective is to develop the tools necessary to simulate
+the earthquake cycle, resolving the deformation across as wide of a
+range of temporal and spatial scales as possible to avoid
+simplifications that affect earthquake cycle behavior. Our current
+focus is developing the software that supports both quasi-static
+simulations of interseismic and coseismic deformation and dynamic
+simulations of earthquake rupture proapgation, which we will later
+couple together to resolve the earthquake cycle.
+
+infrastructure associated with parallel data structures for
+finite-elements, bulk constitutive models for elasticity, fault
+implementations for prescribed slip and fault constitutive models, and
+boundary conditions are essentially the same for these two
+problems. The time integration scheme is the primary difference
+between the two types of simulations, with an implicit scheme used in
+the quasi-static simulations and an explicit scheme used in the
+dynamic simulations; this also results in using different solves as we
+will discuss later.
+
+A large component of the infrastrure needed for these simulations,
+which also differentiates these types of problems from many other
+elasticity problems, involves implementing the slip on the fault surface,
+which is interior to the domain. Furthermore, we want the flexibility
+to either prescribe the slip on the fault or have the fault slip
+evolve according to a fault constitutive model that specifies the
+friction on the fault surface. This has affected the overall design of 
+PyLith and all steps in the simulation process, from preprocessing of
+the finite-element mesh through writing the output files.
+
+% ------------------------------------------------------------------
 \section{Model}
   \begin{itemize}
     \item Lagrange multipliers
@@ -48,18 +98,22 @@
     \item Fault constitutive models
   \end{itemize}
 
+% ------------------------------------------------------------------
 \section{Geometry Processing}\matt{Rough draft}
   adjusting topology
 
+% ------------------------------------------------------------------
 \section{Discretization}
   cohesive cells
 
+% ------------------------------------------------------------------
 \section{Solver}
   \begin{itemize}
     \item saddle point
     \item custom preconditioner
   \end{itemize}
 
+% ------------------------------------------------------------------
 \section{Results}
   \begin{itemize}
     \item benchmarks