[cig-commits] r19314 - seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation
dkomati1 at geodynamics.org
dkomati1 at geodynamics.org
Tue Dec 27 14:25:38 PST 2011
Author: dkomati1
Date: 2011-12-27 14:25:37 -0800 (Tue, 27 Dec 2011)
New Revision: 19314
Added:
seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/Ux_time_analytical_solution.dat
seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/Uz_time_analytical_solution.dat
seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/plot_compare_to_analytical_solution.gnu
Modified:
seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/README
seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/SOURCE_attenuation_2D
Log:
added a Gnuplot script to compare the results to the quasi-analytical solution of Carcione et al. (1988).
Modified: seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/README
===================================================================
--- seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/README 2011-12-27 21:36:14 UTC (rev 19313)
+++ seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/README 2011-12-27 22:25:37 UTC (rev 19314)
@@ -19,11 +19,13 @@
4. execute script to run mesher and solver for the PSV case:
./process.sh
-5. check out the output files in the local directory OUTPUT_FILES
+5. check out the output files in the local directory OUTPUT_FILES; in particular, you can type "gnuplot plot_compare_to_analytical_solution.gnu" to compare the seismograms computed to the quasi-analytical solution of Carcione et al. (1988). Note that because our example has no absorbing conditions on the edges of the grid, there are extra (spurious) waves after the main P and S waves, reflected off the edges of the grid, which are not present in the quasi-analytical solution and which you can safely ignore. Beware that the reference solution is not exact, only quasi-exact (i.e., the formulation uses an approximation, and some integrals are computed numerically) therefore some small discrepancies can be noticed.
-Reference:
-----------
+References:
+-----------
-Dimitri Komatitsch and Jeroen Tromp, Introduction to the spectral-element method for 3-D seismic wave propagation, Geophysical Journal International, vol. 139, p. 806-822 (1999)
+Dimitri Komatitsch and Jeroen Tromp, Introduction to the spectral-element method for 3-D seismic wave propagation, Geophysical Journal International, vol. 139, p. 806-822 (1999).
+Jose M. Carcione, D. Kosloff and R. Kosloff, Wave propagation simulation in a linear viscoelastic medium, Geophysical Journal International, vol. 95, p. 597-611 (1988).
+
----------------------------------------------------------------------
Modified: seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/SOURCE_attenuation_2D
===================================================================
--- seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/SOURCE_attenuation_2D 2011-12-27 21:36:14 UTC (rev 19313)
+++ seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/SOURCE_attenuation_2D 2011-12-27 22:25:37 UTC (rev 19314)
@@ -10,4 +10,4 @@
Mxx = 1. # Mxx component (for a moment tensor source only)
Mzz = 1. # Mzz component (for a moment tensor source only)
Mxz = 0. # Mxz component (for a moment tensor source only)
-factor = 1.d10 # amplification factor
+factor = 44371246.83d10 # amplification factor
Added: seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/Ux_time_analytical_solution.dat
===================================================================
--- seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/Ux_time_analytical_solution.dat (rev 0)
+++ seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/Ux_time_analytical_solution.dat 2011-12-27 22:25:37 UTC (rev 19314)
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Added: seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/Uz_time_analytical_solution.dat
===================================================================
--- seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/Uz_time_analytical_solution.dat (rev 0)
+++ seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/Uz_time_analytical_solution.dat 2011-12-27 22:25:37 UTC (rev 19314)
@@ -0,0 +1,5290 @@
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+ 1.977474 7.839149 7.4303849E-04
+ 1.977865 7.833619 7.1685971E-04
+ 1.978255 7.828419 7.2074111E-04
+ 1.978646 7.823396 7.1255973E-04
+ 1.979036 7.818047 7.2307000E-04
+ 1.979427 7.812655 7.1301870E-04
+ 1.979818 7.807847 7.1811059E-04
+ 1.980208 7.802484 7.2683382E-04
+ 1.980599 7.796898 7.1342319E-04
+ 1.980990 7.791987 6.6285767E-04
+ 1.981380 7.786539 7.0778123E-04
+ 1.981771 7.781671 7.2355254E-04
+ 1.982161 7.776310 7.1831548E-04
+ 1.982552 7.771235 7.3154131E-04
+ 1.982943 7.766087 7.4146176E-04
+ 1.983333 7.761154 7.2225486E-04
+ 1.983724 7.755344 7.1925065E-04
+ 1.984115 7.750365 7.0302648E-04
+ 1.984505 7.745366 6.7466218E-04
+ 1.984896 7.740029 7.2593987E-04
+ 1.985286 7.735087 6.9892540E-04
+ 1.985677 7.729989 6.9140911E-04
+ 1.986068 7.724554 7.1425957E-04
+ 1.986458 7.719502 7.2551798E-04
+ 1.986849 7.714886 7.2324288E-04
+ 1.987240 7.709532 7.1017724E-04
+ 1.987630 7.704703 6.2552636E-04
+ 1.988021 7.699282 6.8492658E-04
+ 1.988411 7.694239 7.2345725E-04
+ 1.988802 7.688944 7.5430155E-04
+ 1.989193 7.684123 6.7567657E-04
+ 1.989583 7.678628 7.2608038E-04
+ 1.989974 7.674062 7.3657749E-04
+ 1.990365 7.668893 7.3628611E-04
+ 1.990755 7.663604 6.8106945E-04
+ 1.991146 7.658723 6.9151324E-04
+ 1.991536 7.653697 6.8532501E-04
+ 1.991927 7.648306 7.2662759E-04
+ 1.992318 7.643492 7.7757664E-04
+ 1.992708 7.638459 7.8721833E-04
+ 1.993099 7.633187 7.8162830E-04
+ 1.993490 7.628091 7.1344315E-04
+ 1.993880 7.622718 5.8098516E-04
+ 1.994271 7.618149 7.0313958E-04
+ 1.994661 7.612929 7.0168922E-04
+ 1.995052 7.608087 7.6940784E-04
+ 1.995443 7.602719 7.0112338E-04
+ 1.995833 7.598292 7.6029246E-04
+ 1.996224 7.592670 7.3983881E-04
+ 1.996615 7.587661 7.7811372E-04
+ 1.997005 7.582855 7.2087435E-04
+ 1.997396 7.577787 7.6822366E-04
+ 1.997786 7.572566 7.6779746E-04
+ 1.998177 7.567833 7.7038002E-04
+ 1.998568 7.562649 7.0538267E-04
+ 1.998958 7.557585 7.5440097E-04
+ 1.999349 7.552709 7.5362454E-04
+ 1.999740 7.547848 7.2382565E-04
Added: seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/plot_compare_to_analytical_solution.gnu
===================================================================
--- seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/plot_compare_to_analytical_solution.gnu (rev 0)
+++ seismo/2D/SPECFEM2D/trunk/EXAMPLES/attenuation/plot_compare_to_analytical_solution.gnu 2011-12-27 22:25:37 UTC (rev 19314)
@@ -0,0 +1,14 @@
+
+set term x11
+
+set xlabel "Time (s)"
+set ylabel "Amplitude of displacement component (m)"
+
+set xrange [0:1.4]
+
+plot "OUTPUT_FILES/S0001.AA.BXX.semd" t 'Numerical Ux' w l lc 1, "Ux_time_analytical_solution.dat" t 'Quasi-analytical Ux' w l lc 3
+pause -1 "Hit any key..."
+
+plot "OUTPUT_FILES/S0001.AA.BXZ.semd" t 'Numerical Uz' w l lc 1, "Uz_time_analytical_solution.dat" t 'Quasi-analytical Uz' w l lc 3
+pause -1 "Hit any key..."
+
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