[cig-commits] r20800 - in short/3D/PyLith/branches/v1.7-trunk/doc/userguide: . boundaryconditions materials runpylith
brad at geodynamics.org
brad at geodynamics.org
Mon Oct 1 09:16:15 PDT 2012
Author: brad
Date: 2012-10-01 09:16:15 -0700 (Mon, 01 Oct 2012)
New Revision: 20800
Modified:
short/3D/PyLith/branches/v1.7-trunk/doc/userguide/boundaryconditions/boundaryconditions.lyx
short/3D/PyLith/branches/v1.7-trunk/doc/userguide/materials/materials.lyx
short/3D/PyLith/branches/v1.7-trunk/doc/userguide/runpylith/runpylith.lyx
short/3D/PyLith/branches/v1.7-trunk/doc/userguide/userguide.lyx
Log:
Updates to manual for v1.8 (stable time step, utilities, intial state variables for friction).
Modified: short/3D/PyLith/branches/v1.7-trunk/doc/userguide/boundaryconditions/boundaryconditions.lyx
===================================================================
--- short/3D/PyLith/branches/v1.7-trunk/doc/userguide/boundaryconditions/boundaryconditions.lyx 2012-10-01 13:58:04 UTC (rev 20799)
+++ short/3D/PyLith/branches/v1.7-trunk/doc/userguide/boundaryconditions/boundaryconditions.lyx 2012-10-01 16:16:15 UTC (rev 20800)
@@ -6370,8 +6370,12 @@
\end_layout
\begin_layout Description
-db_initial_state Spatial database for initial state variables (default is
- none).
+db_initial_state Spatial database for initial state variables.
+ A warning will be given when a spatial database for the initial state is
+ not specified.
+ The default is none which results in initial state values of 0.0.
+ For some friction models, we provide more meaningful values for default
+ values.
\end_layout
\begin_layout Paragraph
@@ -7327,6 +7331,17 @@
\end_layout
\begin_layout Standard
+A zero value for the initial state results in infinite values for the coefficien
+t of friction.
+ To avoid such behavior when the user fails to provide nonzero values for
+ the initial state, we set the state variable to
+\begin_inset Formula $L/V_{0}$
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
The properties include:
\end_layout
Modified: short/3D/PyLith/branches/v1.7-trunk/doc/userguide/materials/materials.lyx
===================================================================
--- short/3D/PyLith/branches/v1.7-trunk/doc/userguide/materials/materials.lyx 2012-10-01 13:58:04 UTC (rev 20799)
+++ short/3D/PyLith/branches/v1.7-trunk/doc/userguide/materials/materials.lyx 2012-10-01 16:16:15 UTC (rev 20800)
@@ -1210,6 +1210,103 @@
\end_layout
+\begin_layout Subsection
+Stable time step
+\end_layout
+
+\begin_layout Standard
+PyLith computes the stable time step for both quasi-static and dynamic simulatio
+ns.
+ In quasi-static simulations the stability of the implicit time stepping
+ scheme does not depend on the time step, instead the stable time step is
+ associated with the accuracy of the solution.
+ In purely elastic materials, the accuracy is independent of the time step,
+ so the stable time step is infinite.
+ For viscoelastic materials we ser the stable time step to be 1/5 of the
+ relaxation time.
+\end_layout
+
+\begin_layout Standard
+In dynamic simulations the stability of the explicit time stepping scheme
+ integration does depend on the time step via the Courant-Friderichs-Lewy
+ condition
+\begin_inset CommandInset citation
+LatexCommand cite
+key "Courant:etal:1967"
+
+\end_inset
+
+.
+ This condition states that the critical time step is the time it takes
+ for the P wave to travel across the shortest dimension of a cell.
+ In most cases this is the shortest edge length.
+ However, distorted cells which have relatively small areas in 2-D or relatively
+ small volumes in 3-D for the given edge lengths also require small time
+ steps due to the artificially high stiffness associated with the distorted
+ shape.
+ As a result, we set the stable time step to be the smaller of the shortest
+ edge length and a scaling factor times the radius of an inscribed circle
+ (in 2-D),
+\begin_inset Formula
+\begin{gather}
+dt=\min(e_{\mathit{min}},3.0r_{inscribed})\\
+r_{inscribed}=\sqrt{\frac{k(k-e_{0})(k-e_{1})(k-e_{2})}{k}}\\
+k=\frac{1}{2}(e_{0}+e_{1}+e_{2})
+\end{gather}
+
+\end_inset
+
+and sphere (in 3-D),
+\begin_inset Formula
+\begin{gather}
+dt=\min(e_{\mathit{min}},6.38r_{inscribed})\\
+r_{inscribed}=3V/(A_{0}+A_{1}+A_{2}+A_{3}),
+\end{gather}
+
+\end_inset
+
+where
+\begin_inset Formula $e_{i}$
+\end_inset
+
+ denotes the length of edge
+\begin_inset Formula $i$
+\end_inset
+
+,
+\begin_inset Formula $A_{i}$
+\end_inset
+
+ denotes the area of face
+\begin_inset Formula $i$
+\end_inset
+
+, and
+\begin_inset Formula $V$
+\end_inset
+
+ is the volume of the cell.
+ We determined the scaling factoring empirically using several benchmarks.
+\end_layout
+
+\begin_layout Standard
+The stable time steps for each cell can be included in the output with the
+ other
+\family typewriter
+cell_info_fields
+\family default
+.
+ For implicit time stepping the field is
+\family typewriter
+stable_dt_implicit
+\family default
+ and for explicit time stepping the field is
+\family typewriter
+stable_dt_explicit
+\family default
+.
+\end_layout
+
\begin_layout Section
Elastic Material Models
\end_layout
Modified: short/3D/PyLith/branches/v1.7-trunk/doc/userguide/runpylith/runpylith.lyx
===================================================================
--- short/3D/PyLith/branches/v1.7-trunk/doc/userguide/runpylith/runpylith.lyx 2012-10-01 13:58:04 UTC (rev 20799)
+++ short/3D/PyLith/branches/v1.7-trunk/doc/userguide/runpylith/runpylith.lyx 2012-10-01 16:16:15 UTC (rev 20800)
@@ -5773,14 +5773,54 @@
output.
The utility works with output from simulations with either prescribed slip
and/or spontaneous rupture.
+ Currently, we compute the shear modulus from a user-specified spatial database
+ at the centroid of the fault cells.
+ In the future we plan to account for lateral variations in shear modulus
+ across the fault when calculating the seismic moment.
The Python script is a Pyre application, so its parameters can be specified
using
\family typewriter
.cfg
\family default
and command line arguments just like PyLith.
+ The Pyre properties and facilities include:
\end_layout
+\begin_layout Description
+output_filename Filename for output of slip information.
+\end_layout
+
+\begin_layout Description
+faults Array of fault names.
+\end_layout
+
+\begin_layout Description
+filename_pattern Filename pattern in C/Python format for creating filename
+ for each fault.
+ Default is
+\family typewriter
+output/fault_%s.h5
+\family default
+.
+\end_layout
+
+\begin_layout Description
+snapshots Array of timestamps for slip snapshosts (-1 means use last time
+ step in file, which is the default).
+\end_layout
+
+\begin_layout Description
+snapshot_units Units for timestamps in array of snapshots.
+\end_layout
+
+\begin_layout Description
+db_properties Spatial database for elastic properties.
+\end_layout
+
+\begin_layout Description
+coordsys Coordinate system associated with mesh in simulation.
+\end_layout
+
\begin_layout Subsection
\family typewriter
Modified: short/3D/PyLith/branches/v1.7-trunk/doc/userguide/userguide.lyx
===================================================================
--- short/3D/PyLith/branches/v1.7-trunk/doc/userguide/userguide.lyx 2012-10-01 13:58:04 UTC (rev 20799)
+++ short/3D/PyLith/branches/v1.7-trunk/doc/userguide/userguide.lyx 2012-10-01 16:16:15 UTC (rev 20800)
@@ -1,899 +1,919 @@
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-Version 1.8.0
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-
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-\emph on
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-\emph default
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-
-\emph on
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-
-Aagaard, B., C.
- Williams, and M.
- Knepley (2007), PyLith: A finite-element code for modeling quasi-static
- and dynamic crustal deformation,
-\emph on
-Eos Trans.
- AGU, 88
-\emph default
-(52), Fall Meet.
- Suppl., Abstract T21B-0592.
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- Knepley (2008), PyLith: A finite-element code for modeling quasi-static
- and dynamic crustal deformation,
-\emph on
-Eos Trans.
- AGU
-\emph default
-,
-\emph on
-89(
-\emph default
-53), Fall Meet.
- Suppl., Abstract T41A-1925.
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-
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- (1995),
-\shape italic
-Finite-Element Procedures
-\shape default
-, Prentice Hall, Upper Saddle River, New Jersey, 1037 pp.
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-key "BenZion:Rice:1997"
-
-\end_inset
-
-Ben-Zion, Y.
- and J.R.
- Rice (1997), Dynamic simulations of slip on a smooth fault in an elastic
- solid,
-\emph on
-Journal of Geophysical Research
-\shape italic
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-, 102
-\shape default
-, 17,771–17,784.
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-key "Brune:1970"
-
-\end_inset
-
-Brune, J.N.
- (1970), Tectonic stress and spectra of seismic shear waves from earthquakes,
-
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-Journal of Geophysical Research, 75
-\emph default
-, 4997-5009.
-\end_layout
-
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-
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-
-Day, S.M.
- and G.P.
- Ely (2002), Effct of a shallow weak zone on fault rupture: Numerical simulation
- of scale-model experiments,
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-Bull.
- Seismol.
- Soc.
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-\shape default
-, 92(8), 3022-3041, doi: 10.1785/0120010273.
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-
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-
-\end_inset
-
-Drucker, D.
- C.
- and Prager, W.
- (1952).
- Soil mechanics and plastic analysis for limit design,
-\shape italic
-Quarterly of Applied Mathematics
-\shape default
-,
-\shape italic
-10
-\shape default
-, 157–165.
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-
-\end_inset
-
-Liu, P., R.J.
- Archuleta, S.H.
- Hartzell (2006), Prediction of broadband ground-motion time histories:
- Hybrid low/high-frequency method with correlated random source parameters,
-
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- Soc.
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-, 2118-2130.
-\end_layout
-
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-\labelwidthstring Bibliography
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-key "Kaneko:etal:2008"
-
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-
-Kaneko, Y., N.
- Lapusta, and J.-P.
- Ampuero (2008), Spectral element modeling of spontaneous earthquake rupture
- on rate and state faults: Effect of velocity-strengthening friction at
- shallow depths,
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-Journal of Geophysical Research
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-, B09317, doi:10.1029/2007JB005553.
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-
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-
-Kirby, S.
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- and A.
- K.
- Kronenberg (1987), Rheology of the lithosphere: Selected topics,
-\shape italic
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-
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-
-Knopoff, L.
- and X.X.
- Ni (2001), Numerical instability at the edge of a dynamic fracture,
-\emph on
-Geophysical Journal International,
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-147
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-(3), 1-6, doi: 10.1046/j.1365-246x.2001.01567.x.
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-
-Kojic, M.
- and K.-J.
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-icity and Creep,
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-, 24
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-, 1509-1532.
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-
-\end_inset
-
-McGarr, A.
- (1988), On the state of lithospheric stress in the absence of applied tectonic
- forces,
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-Journal of Geophysical Research
-\shape default
-,
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-\shape default
-, 13,609-13,617.
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-
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- (1984),
-\shape italic
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-, Academic Press, Inc., Orlando, 260 pp.
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-key "Okada:1992"
-
-\end_inset
-
-Okada, Y., Internal deformation due to shear and tensile faults in a half-space
- (1992),
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-Bull.
- Seismol.
- Soc.
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-\shape italic
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-, 1018-1040.
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-
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-key "Paterson:1994"
-
-\end_inset
-
-Paterson, W.
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- B.
- (1994),
-\shape italic
-The Physics of Glaciers, Third Edition
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-, Elsevier Science Ltd., Oxford, 480 pp.
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-
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-\labelwidthstring Bibliography
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-label "Prentice, 1968"
-key "Prentice:1968"
-
-\end_inset
-
-Prentice, J.
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-
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-\labelwidthstring Bibliography
-\begin_inset CommandInset bibitem
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-label "Savage and Prescott, 1978"
-key "Savage:Prescott:1978"
-
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-
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+\shape default
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+\emph on
+Journal of Geophysical Research, 75
+\emph default
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+ and G.P.
+ Ely (2002), Effct of a shallow weak zone on fault rupture: Numerical simulation
+ of scale-model experiments,
+\shape italic
+Bull.
+ Seismol.
+ Soc.
+ Am.
+\shape default
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+ C.
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+ (1952).
+ Soil mechanics and plastic analysis for limit design,
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+Quarterly of Applied Mathematics
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+10
+\shape default
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+Liu, P., R.J.
+ Archuleta, S.H.
+ Hartzell (2006), Prediction of broadband ground-motion time histories:
+ Hybrid low/high-frequency method with correlated random source parameters,
+
+\shape italic
+Bull.
+ Seismol.
+ Soc.
+ Am., 96
+\shape default
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+ Lapusta, and J.-P.
+ Ampuero (2008), Spectral element modeling of spontaneous earthquake rupture
+ on rate and state faults: Effect of velocity-strengthening friction at
+ shallow depths,
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+ 113
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+ H.
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+ K.
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+Reviews of Geophysics, 25
+\shape default
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+ and X.X.
+ Ni (2001), Numerical instability at the edge of a dynamic fracture,
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+\shape default
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+ and K.-J.
+ Bathe (1987), The `Effective Stress-Function' Algorithm for Thermo-Elasto-Plast
+icity and Creep,
+\emph on
+Int.
+ J.
+ Num.
+ Meth.
+ Eng
+\emph default
+.
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+\emph default
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+ (1988), On the state of lithospheric stress in the absence of applied tectonic
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+93
+\shape default
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+Okada, Y., Internal deformation due to shear and tensile faults in a half-space
+ (1992),
+\shape italic
+Bull.
+ Seismol.
+ Soc.
+ Am.
+\shape default
+,
+\shape italic
+83
+\shape default
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+ S.
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+ H, (1968), Dimensional problem of the power law in rheology,
+\shape italic
+Nature
+\shape default
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+217
+\shape default
+, 157.
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+ C.
+ and W.
+ H.
+ Prescott (1978), Asthenosphere readjustment and the earthquake cycle,
+\shape italic
+Journal of Geophysical
+\shape default
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+\shape italic
+Research
+\shape default
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+\emph default
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+ (2003), `FEAP--A Finite Element Analysis Program',
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+Version 7.5 Theory Manual
+\shape default
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+key "Timoshenko:Goodier:1987"
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+ and J.N.
+ Goodier (1987),
+\shape italic
+Theory of Elasticity, Third Edition
+\shape default
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+key "Williams:etal:2005"
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+
+Williams, C.A., B.
+ Aagaard, and M.G.
+ Knepley (2005), Development of software for studying earthquakes across
+ multiple spatial and temporal scales by coupling quasi-static and dynamic
+ simulations,
+\emph on
+Eos Trans.
+ AGU, 86
+\emph default
+(52), Fall Meet.
+ Suppl., Abstract S53A-1072.
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+
+Williams, C.A.
+ (2006), Development of a package for modeling stress in the lithosphere,
+
+\emph on
+Eos Trans.
+ AGU,
+\emph default
+
+\emph on
+87
+\emph default
+(36), Jt.
+ Assem.
+ Suppl., Abstract T24A-01 Invited.
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+ and R.L.
+ Taylor (2000),
+\shape italic
+The Finite Element Method, Fifth Edition, Volume 2: Solid Mechanics
+\shape default
+, Butterworth-Heinemann, Oxford, 459 pp.125
+\end_layout
+
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+\end_document
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