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2
Makefile.am
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AUTOMAKE_OPTIONS = foreign
SUBDIRS = src/psgrn src/pscmp

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README.md
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# PSGRN and PSCMP (packaged as fomosto backend)
Code to calculate synthetic stress/strain/tilt/gravitational fields on a
layered viscoelastic halfspace.
PSGRN and PSCMP have been written by Rongjiang Wang.
Packaging has been done by Hannes Vasyura-Bathke.
## References
- Wang, R., F. Lorenzo-Martín and F. Roth (2003), Computation of deformation
induced by earthquakes in a multi-layered elastic crust - FORTRAN programs
EDGRN/EDCMP, Computer and Geosciences, 29(2), 195-207.
- Wang, R., F. Lorenzo-Martin and F. Roth (2006), PSGRN/PSCMP - a new code for
calculating co- and post-seismic deformation, geoid and gravity changes
based on the viscoelastic-gravitational dislocation theory, Computers and
Geosciences, 32, 527-541. DOI:10.1016/j.cageo.2005.08.006.
- Wang, R. (2005), The dislocation theory: a consistent way for including the
gravity effect in (visco)elastic plane-earth models, Geophysical Journal
International, 161, 191-196.
# Compile and install PSGRN and PSCMP
```
autoreconf -i # only if 'configure' script is missing
F77=gfortran FFLAGS=-mcmodel=medium ./configure
make
sudo make install
```

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configure.ac
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# -*- Autoconf -*-
# Process this file with autoconf to produce a configure script.
AC_PREREQ([2.68])
AC_INIT([fomosto_psgrn], [2008a])
AM_INIT_AUTOMAKE([-Wall -Werror foreign])
AC_PROG_F77
AC_CONFIG_FILES([
Makefile
src/psgrn/Makefile
src/pscmp/Makefile
])
AC_OUTPUT

424
examples/pscmp08-wenchuan.inp
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#===============================================================================
# This is input file of FORTRAN77 program "pscmp08" for modeling post-seismic
# deformation induced by earthquakes in multi-layered viscoelastic media using
# the Green's function approach. The earthquke source is represented by an
# arbitrary number of rectangular dislocation planes. For more details, please
# read the accompanying READ.ME file.
#
# written by Rongjiang Wang
# GeoForschungsZentrum Potsdam
# e-mail: wang@gfz-potsdam.de
# phone +49 331 2881209
# fax +49 331 2881204
#
# Last modified: Potsdam, July, 2008
#
#################################################################
## ##
## Green's functions should have been prepared with the ##
## program "psgrn08" before the program "pscmp08" is started. ##
## ##
## For local Cartesian coordinate system, the Aki's convention ##
## is used, that is, x is northward, y is eastward, and z is ##
## downward. ##
## ##
## If not specified otherwise, SI Unit System is used overall! ##
## ##
#################################################################
#===============================================================================
# OBSERVATION ARRAY
# =================
# 1. selection for irregular observation positions (= 0) or a 1D observation
# profile (= 1) or a rectangular 2D observation array (= 2): iposrec
#
# IF (iposrec = 0 for irregular observation positions) THEN
#
# 2. number of positions: nrec
#
# 3. coordinates of the observations: (lat(i),lon(i)), i=1,nrec
#
# ELSE IF (iposrec = 1 for regular 1D observation array) THEN
#
# 2. number of position samples of the profile: nrec
#
# 3. the start and end positions: (lat1,lon1), (lat2,lon2)
#
# ELSE IF (iposrec = 2 for rectanglular 2D observation array) THEN
#
# 2. number of x samples, start and end values: nxrec, xrec1, xrec2
#
# 3. number of y samples, start and end values: nyrec, yrec1, yrec2
#
# sequence of the positions in output data: lat(1),lon(1); ...; lat(nx),lon(1);
# lat(1),lon(2); ...; lat(nx),lon(2); ...; lat(1),lon(ny); ...; lat(nx),lon(ny).
#
# Note that the total number of observation positions (nrec or nxrec*nyrec)
# should be <= NRECMAX (see pecglob.h)!
#===============================================================================
0
180
( 31.8010, 104.4430) ( 32.1820, 104.8720) ( 31.0600, 103.6910) ( 31.4860, 104.2250) ( 32.5700, 105.2200)
( 31.3530, 104.1860) ( 31.7050, 104.4430) ( 31.0080, 103.1450) ( 32.3600, 104.8100) ( 30.9680, 103.7400)
( 30.8800, 103.6200) ( 32.4050, 104.5710) ( 31.1560, 104.4400) ( 31.4860, 104.7600) ( 31.4860, 104.7810)
( 32.0600, 103.5800) ( 31.8500, 102.6700) ( 32.0750, 103.1650) ( 30.7320, 104.0770) ( 32.0200, 105.8300)
( 32.0200, 105.8300) ( 32.3610, 103.7310) ( 31.7050, 102.3060) ( 30.6300, 104.0800) ( 32.4480, 105.8300)
( 32.4480, 105.8300) ( 30.6300, 103.6300) ( 31.4660, 102.0950) ( 31.0300, 102.4000) ( 32.5900, 103.6130)
( 31.1000, 105.1000) ( 31.8700, 105.9800) ( 31.7700, 101.6150) ( 32.8510, 103.5700) ( 30.9600, 101.8700)
( 32.7850, 102.5000) ( 33.0000, 104.6250) ( 32.9300, 103.4350) ( 30.4050, 104.5300) ( 30.3750, 104.5360)
( 32.9010, 101.7060) ( 32.8000, 105.7800) ( 31.1430, 100.9300) ( 33.4300, 105.0100) ( 30.9500, 101.1630)
( 25.3410, 100.4960) ( 25.4810, 100.5480) ( 25.6080, 103.2410) ( 25.6410, 101.9010) ( 25.7310, 101.3200)
( 26.0010, 102.5310) ( 26.0500, 101.6810) ( 26.1050, 103.1650) ( 26.5030, 101.7480) ( 26.6200, 102.6100)
( 26.6900, 102.2630) ( 26.6900, 101.8550) ( 26.9310, 102.9060) ( 27.0480, 101.9580) ( 27.1380, 100.9330)
( 27.4200, 101.5130) ( 27.4530, 102.1880) ( 27.5400, 101.7100) ( 27.6560, 101.2380) ( 27.7480, 100.6530)
( 27.8750, 102.2310) ( 28.3000, 102.4360) ( 28.5150, 102.1250) ( 28.9630, 101.5180) ( 29.2280, 103.2610)
( 29.6000, 103.8000) ( 29.6880, 102.0800) ( 29.7900, 102.8160) ( 29.8460, 101.5580) ( 29.8480, 102.2900)
( 30.0410, 103.8450) ( 30.0730, 101.7880) ( 30.0750, 101.4850) ( 30.1060, 101.0230) ( 30.2510, 102.8400)
( 30.4150, 103.4100) ( 30.4950, 101.4960) ( 30.5000, 105.7800) ( 30.8000, 106.2000) ( 34.4030, 104.0730)
( 32.8000, 106.1800) ( 32.8500, 107.1700) ( 33.1000, 106.3300) ( 33.1160, 106.6800) ( 33.1900, 106.5800)
( 33.2280, 104.2250) ( 33.2760, 103.8880) ( 33.3400, 105.8050) ( 33.3400, 106.1550) ( 33.4000, 105.6280)
( 33.4230, 104.8230) ( 33.5710, 102.9910) ( 33.6960, 105.5950) ( 33.6960, 105.5950) ( 33.7800, 105.2850)
( 33.7860, 104.4010) ( 33.8910, 105.8150) ( 33.9150, 106.5080) ( 33.9360, 103.7260) ( 34.0000, 104.4200)
( 34.0200, 105.3000) ( 34.0460, 104.3830) ( 34.1080, 105.3060) ( 34.1080, 103.1460) ( 34.2510, 105.8110)
( 34.3600, 104.5000) ( 34.3600, 104.8300) ( 34.4660, 104.9150) ( 34.5000, 105.8600) ( 34.5510, 108.9130)
( 34.5930, 105.6960) ( 34.7130, 104.9400) ( 34.7480, 106.1580) ( 34.8500, 104.4800) ( 34.8710, 105.6550)
( 35.1410, 105.3780) ( 35.1730, 106.0110) ( 34.7930, 105.3680) ( 35.0380, 104.1050) ( 26.6760, 101.2450)
( 27.3700, 102.5480) ( 33.9100, 106.2300) ( 26.6650, 100.7560) ( 29.2630, 102.4380) ( 28.9580, 103.8930)
( 26.8260, 102.1000) ( 34.5150, 106.4000) ( 25.5760, 102.5050) ( 26.2110, 100.5960) ( 35.0050, 106.2060)
( 29.6010, 103.4680) ( 25.7980, 102.9410) ( 30.1200, 103.1000) ( 35.0800, 105.7950) ( 34.4960, 108.2330)
( 25.7960, 100.5600) ( 28.7700, 104.6000) ( 34.9460, 106.6780) ( 34.4330, 107.5800) ( 35.0580, 108.0860)
( 28.9550, 102.7660) ( 34.0700, 107.6400) ( 34.9730, 108.9980) ( 35.0460, 104.5410) ( 29.9750, 103.0030)
( 28.2500, 103.6400) ( 29.9750, 103.0030) ( 34.1100, 108.1560) ( 27.6930, 102.7900) ( 34.8950, 106.8210)
( 28.6710, 102.5310) ( 26.4050, 103.2260) ( 27.9980, 102.8330) ( 33.8800, 109.9230) ( 25.0360, 100.5210)
( 34.4260, 107.1430) ( 34.0880, 107.2950) ( 34.4710, 107.3780) ( 34.7200, 104.3800) ( 27.7700, 103.8910)
( 33.6160, 106.9250) ( 34.3010, 108.1950) ( 34.3460, 109.9680) ( 31.0000, 107.1000) ( 34.9500, 109.9700)
( 27.3560, 103.6860) ( 34.4600, 109.7060) ( 27.6830, 103.2680) ( 28.8430, 103.5260) ( 34.0500, 108.9080)
( 28.6050, 103.9780) ( 29.3480, 102.6550) ( 33.5400, 107.9800) ( 33.5000, 109.2000) ( 28.3110, 103.1210)
#
# 1
# 51
# (0.0, -100.0), (0.0, 400.0)0
#
# 2
# 101 30.59521 31.92271
# 101 103.49411 105.00661
#===============================================================================
# OUTPUTS
# =======
#
# 1. select (1/0) output for los displacement (only for snapshots, see below),
# x, y, and z-cosines to the INSAR orbit: insar, xlos, ylos, zlos
#
# if this option is selected, the snapshots will include additional data:
# LOS_Dsp = los displacement to the given satellite orbit.
#
# 2. select (1/0) output for Coulomb stress changes (only for snapshots, see
# below): icmb, friction, Skempton ratio, strike, dip, and rake angles [deg]
# describing the uniform regional master fault mechanism, the uniform regional
# principal stresses: sigma1, sigma2 and sigma3 [Pa] in arbitrary order (the
# orietation of the pre-stress field will be derived by assuming that the
# master fault is optimally oriented according to Coulomb failure criterion)
#
# if this option is selected (icmb = 1), the snapshots will include additional
# data:
# CMB_Fix, Sig_Fix = Coulomb and normal stress changes on master fault;
# CMB_Op1/2, Sig_Op1/2 = Coulomb and normal stress changes on the two optimally
# oriented faults;
# Str_Op1/2, Dip_Op1/2, Slp_Op1/2 = strike, dip and rake angles of the two
# optimally oriented faults.
#
# Note: the 1. optimally orieted fault is the one closest to the master fault.
#
# 3. output directory in char format: outdir
#
# 4. select outputs for displacement components (1/0 = yes/no): itout(i), i=1,3
#
# 5. the file names in char format for the x, y, and z components:
# toutfile(i), i=1,3
#
# 6. select outputs for stress components (1/0 = yes/no): itout(i), i=4,9
#
# 7. the file names in char format for the xx, yy, zz, xy, yz, and zx components:
# toutfile(i), i=4,9
#
# 8. select outputs for vertical NS and EW tilt components, block rotation, geoid
# and gravity changes (1/0 = yes/no): itout(i), i=10,14
#
# 9. the file names in char format for the NS tilt (positive if borehole top
# tilts to north), EW tilt (positive if borehole top tilts to east), block
# rotation (clockwise positive), geoid and gravity changes: toutfile(i), i=10,14
#
# Note that all above outputs are time series with the time window as same
# as used for the Green's functions
#
#10. number of scenario outputs ("snapshots": spatial distribution of all above
# observables at given time points; <= NSCENMAX (see pscglob.h): nsc
#
#11. the time [day], and file name (in char format) for the 1. snapshot;
#12. the time [day], and file name (in char format) for the 2. snapshot;
#13. ...
#
# Note that all file or directory names should not be longer than 80
# characters. Directories must be ended by / (unix) or \ (dos)!
#===============================================================================
1 0.0 0.0 -1.00 !displacement upward positive
0 0.700 0.000 330.000 90.000 180.000 0.0E+00 0.0E+00 0.0E+00
'.\'
0 0 0
'ux.dat' 'uy.dat' 'uz.dat'
0 0 0 0 0 0
'sxx.dat' 'syy.dat' 'szz.dat' 'sxy.dat' 'syz.dat' 'szx.dat'
0 0 0 0 0
'tx.dat' 'ty.dat' 'rot.dat' 'gd.dat' 'gr.dat'
1
0.00 'coseis-gps.dat' |0 co-seismic
#===============================================================================
#
# GREEN'S FUNCTION DATABASE
# =========================
# 1. directory where the Green's functions are stored: grndir
#
# 2. file names (without extensions!) for the 13 Green's functions:
# 3 displacement komponents (uz, ur, ut): green(i), i=1,3
# 6 stress components (szz, srr, stt, szr, srt, stz): green(i), i=4,9
# radial and tangential components measured by a borehole tiltmeter,
# rigid rotation around z-axis, geoid and gravity changes (tr, tt, rot, gd, gr):
# green(i), i=10,14
#
# Note that all file or directory names should not be longer than 80
# characters. Directories must be ended by / (unix) or \ (dos)! The
# extensions of the file names will be automatically considered. They
# are ".ep", ".ss", ".ds" and ".cl" denoting the explosion (inflation)
# strike-slip, the dip-slip and the compensated linear vector dipole
# sources, respectively.
#
#===============================================================================
'..\wcpsgrnfcts\'
'uz' 'ur' 'ut'
'szz' 'srr' 'stt' 'szr' 'srt' 'stz'
'tr' 'tt' 'rot' 'gd' 'gr'
#===============================================================================
# RECTANGULAR SUBFAULTS
# =====================
# 1. number of subfaults (<= NSMAX in pscglob.h), latitude [deg] and east
# longitude [deg] of the regional reference point as origin of the Cartesian
# coordinate system: ns, lat0, lon0
#
# 2. parameters for the 1. rectangular subfault: geographic coordinates
# (O_lat, O_lon) [deg] and O_depth [km] of the local reference point on
# the present fault plane, length (along strike) [km] and width (along down
# dip) [km], strike [deg], dip [deg], number of equi-size fault
# patches along the strike (np_st) and along the dip (np_di) (total number of
# fault patches = np_st x np_di), and the start time of the rupture; the
# following data lines describe the slip distribution on the present sub-
# fault:
#
# pos_s[km] pos_d[km] slip_along_strike[m] slip_along_dip[m] opening[m]
#
# where (pos_s,pos_d) defines the position of the center of each patch in
# the local coordinate system with the origin at the reference point:
# pos_s = distance along the length (positive in the strike direction)
# pos_d = distance along the width (positive in the down-dip direction)
#
#
# 3. ... for the 2. subfault ...
# ...
# N
# /
# /| strike
# +------------------------
# |\ p . \ W
# :-\ i . \ i
# | \ l . \ d
# :90 \ S . \ t
# |-dip\ . \ h
# : \. | rake \
# Z -------------------------
# L e n g t h
#
# Note that a point inflation can be simulated by three point openning
# faults (each causes a third part of the volume of the point inflation)
# with orientation orthogonal to each other. the results obtained should
# be multiplied by a scaling factor 3(1-nu)/(1+nu), where nu is the Poisson
# ratio at the source. The scaling factor is the ratio of the seismic
# moment (energy) of an inflation source to that of a tensile source inducing
# a plate openning with the same volume change.
#===============================================================================
# n_faults (Slip model by Ji Chen, USGS)
#-------------------------------------------------------------------------------
1
#-------------------------------------------------------------------------------
# n O_lat O_lon O_depth length width strike dip np_st np_di start_time
# [-] [deg] [deg] [km] [km] [km] [deg] [deg] [-] [-] [day]
# pos_s pos_d slp_stk slp_dip open
# [km] [km] [m] [m] [m]
#-------------------------------------------------------------------------------
1 32.5224 105.4260 0.7411 315.00 40.00 229.00 33.00 21 8 0.00
7.50 2.50 0.00 0.00 0.00
22.50 2.50 0.57 -0.11 0.00
37.50 2.50 1.18 -0.38 0.00
52.50 2.50 0.85 -0.03 0.00
67.50 2.50 -0.03 -0.27 0.00
82.50 2.50 -0.54 -0.47 0.00
97.50 2.50 -0.37 -1.16 0.00
112.50 2.50 0.53 -1.68 0.00
127.50 2.50 0.50 -2.67 0.00
142.50 2.50 1.02 -2.57 0.00
157.50 2.50 0.21 -2.18 0.00
172.50 2.50 -0.82 -1.52 0.00
187.50 2.50 -1.47 -1.12 0.00
202.50 2.50 -2.24 -0.75 0.00
217.50 2.50 -2.58 -0.78 0.00
232.50 2.50 -2.00 -1.33 0.00
247.50 2.50 -1.01 -0.17 0.00
262.50 2.50 0.15 -0.15 0.00
277.50 2.50 0.48 -1.60 0.00
292.50 2.50 0.75 -1.34 0.00
307.50 2.50 -0.03 -0.04 0.00
7.50 7.50 -0.01 0.00 0.00
22.50 7.50 1.12 -0.07 0.00
37.50 7.50 1.06 -0.02 0.00
52.50 7.50 0.21 -0.25 0.00
67.50 7.50 -1.35 -0.60 0.00
82.50 7.50 -1.55 -1.04 0.00
97.50 7.50 -0.89 -2.67 0.00
112.50 7.50 -0.47 -3.92 0.00
127.50 7.50 -0.52 -5.11 0.00
142.50 7.50 0.33 -4.93 0.00
157.50 7.50 -0.03 -3.99 0.00
172.50 7.50 -1.25 -2.75 0.00
187.50 7.50 -2.64 -2.56 0.00
202.50 7.50 -4.41 -2.49 0.00
217.50 7.50 -5.55 -2.88 0.00
232.50 7.50 -4.60 -2.46 0.00
247.50 7.50 -2.85 -0.35 0.00
262.50 7.50 -0.42 -0.11 0.00
277.50 7.50 0.44 -0.89 0.00
292.50 7.50 0.61 -1.69 0.00
307.50 7.50 0.00 -0.08 0.00
7.50 12.50 -0.01 -0.04 0.00
22.50 12.50 0.63 -0.05 0.00
37.50 12.50 -0.06 -0.15 0.00
52.50 12.50 -2.17 -0.51 0.00
67.50 12.50 -4.15 -1.11 0.00
82.50 12.50 -3.91 -2.45 0.00
97.50 12.50 -2.88 -3.56 0.00
112.50 12.50 -2.43 -4.50 0.00
127.50 12.50 -2.12 -5.64 0.00
142.50 12.50 -1.30 -5.64 0.00
157.50 12.50 -2.00 -4.71 0.00
172.50 12.50 -3.09 -3.88 0.00
187.50 12.50 -3.95 -3.60 0.00
202.50 12.50 -6.18 -4.41 0.00
217.50 12.50 -7.78 -5.01 0.00
232.50 12.50 -6.52 -3.60 0.00
247.50 12.50 -4.02 -0.88 0.00
262.50 12.50 -1.76 -0.11 0.00
277.50 12.50 -0.84 -0.36 0.00
292.50 12.50 -0.47 -1.87 0.00
307.50 12.50 0.07 -0.06 0.00
7.50 17.50 0.02 -0.01 0.00
22.50 17.50 0.31 -0.15 0.00
37.50 17.50 -1.47 -0.02 0.00
52.50 17.50 -4.91 -0.14 0.00
67.50 17.50 -7.21 -1.25 0.00
82.50 17.50 -7.52 -1.88 0.00
97.50 17.50 -5.79 -1.79 0.00
112.50 17.50 -4.80 -2.79 0.00
127.50 17.50 -3.92 -3.21 0.00
142.50 17.50 -3.71 -4.62 0.00
157.50 17.50 -3.70 -4.03 0.00
172.50 17.50 -4.29 -2.87 0.00
187.50 17.50 -4.69 -2.63 0.00
202.50 17.50 -6.46 -4.26 0.00
217.50 17.50 -7.50 -5.18 0.00
232.50 17.50 -6.14 -4.57 0.00
247.50 17.50 -4.25 -2.55 0.00
262.50 17.50 -1.55 -1.43 0.00
277.50 17.50 -1.39 -1.01 0.00
292.50 17.50 -1.11 -2.57 0.00
307.50 17.50 0.00 0.00 0.00
7.50 22.50 0.02 -0.01 0.00
22.50 22.50 0.28 -0.04 0.00
37.50 22.50 -0.63 -0.06 0.00
52.50 22.50 -5.03 -0.24 0.00
67.50 22.50 -7.51 -2.18 0.00
82.50 22.50 -8.91 -2.61 0.00
97.50 22.50 -7.24 -1.05 0.00
112.50 22.50 -5.72 -1.23 0.00
127.50 22.50 -5.06 -1.17 0.00
142.50 22.50 -4.42 -2.54 0.00
157.50 22.50 -4.19 -2.16 0.00
172.50 22.50 -4.29 -0.89 0.00
187.50 22.50 -4.80 -1.75 0.00
202.50 22.50 -5.11 -3.93 0.00
217.50 22.50 -4.98 -5.16 0.00
232.50 22.50 -4.69 -5.14 0.00
247.50 22.50 -3.12 -3.77 0.00
262.50 22.50 -1.31 -2.97 0.00
277.50 22.50 -1.59 -2.25 0.00
292.50 22.50 -1.59 -3.28 0.00
307.50 22.50 -0.02 -0.01 0.00
7.50 27.50 -0.03 -0.03 0.00
22.50 27.50 0.09 -0.08 0.00
37.50 27.50 -0.66 -0.09 0.00
52.50 27.50 -4.27 -0.07 0.00
67.50 27.50 -6.66 -1.32 0.00
82.50 27.50 -7.54 -2.60 0.00
97.50 27.50 -5.74 -1.71 0.00
112.50 27.50 -4.45 -0.63 0.00
127.50 27.50 -3.16 -0.12 0.00
142.50 27.50 -3.12 -1.20 0.00
157.50 27.50 -2.97 -1.41 0.00
172.50 27.50 -2.52 -0.45 0.00
187.50 27.50 -2.48 -1.17 0.00
202.50 27.50 -2.36 -2.49 0.00
217.50 27.50 -2.47 -4.33 0.00
232.50 27.50 -2.12 -4.76 0.00
247.50 27.50 -0.98 -3.36 0.00
262.50 27.50 -0.45 -2.94 0.00
277.50 27.50 -0.74 -3.59 0.00
292.50 27.50 -2.06 -3.60 0.00
307.50 27.50 -0.03 -0.04 0.00
7.50 32.50 0.01 -0.04 0.00
22.50 32.50 -0.15 0.00 0.00
37.50 32.50 0.00 -0.01 0.00
52.50 32.50 -2.19 -0.01 0.00
67.50 32.50 -3.58 -0.08 0.00
82.50 32.50 -3.91 -1.27 0.00
97.50 32.50 -2.45 -0.84 0.00
112.50 32.50 -1.61 -0.39 0.00
127.50 32.50 -0.92 -0.12 0.00
142.50 32.50 -1.02 -0.17 0.00
157.50 32.50 -1.08 -0.55 0.00
172.50 32.50 -0.45 -0.24 0.00
187.50 32.50 -0.22 -0.05 0.00
202.50 32.50 -0.68 -0.76 0.00
217.50 32.50 -1.37 -2.36 0.00
232.50 32.50 -1.23 -2.35 0.00
247.50 32.50 -0.19 -1.36 0.00
262.50 32.50 -0.08 -1.38 0.00
277.50 32.50 -0.29 -2.50 0.00
292.50 32.50 -1.82 -2.41 0.00
307.50 32.50 -0.02 -0.05 0.00
7.50 37.50 0.06 -0.03 0.00
22.50 37.50 0.04 -0.03 0.00
37.50 37.50 0.01 -0.04 0.00
52.50 37.50 -0.02 -0.02 0.00
67.50 37.50 -0.03 -0.01 0.00
82.50 37.50 -0.01 -0.04 0.00
97.50 37.50 -0.02 -0.05 0.00
112.50 37.50 -0.05 -0.07 0.00
127.50 37.50 0.05 -0.01 0.00
142.50 37.50 -0.03 -0.01 0.00
157.50 37.50 0.03 -0.09 0.00
172.50 37.50 0.03 -0.02 0.00
187.50 37.50 0.06 -0.04 0.00
202.50 37.50 0.07 -0.03 0.00
217.50 37.50 0.00 -0.01 0.00
232.50 37.50 -0.04 -0.04 0.00
247.50 37.50 0.04 -0.08 0.00
262.50 37.50 0.00 -0.04 0.00
277.50 37.50 -0.03 0.00 0.00
292.50 37.50 -0.06 -0.02 0.00
307.50 37.50 0.09 -0.02 0.00
#================================end of input===================================

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examples/pscmp08_input.dat
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145
examples/psgrn08-wenchuan.inp
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#=============================================================================
# This is input file of FORTRAN77 program "psgrn07a" for computing responses
# (Green's functions) of a multi-layered viscoelastic halfspace to point
# dislocation sources buried at different depths. All results will be stored in
# the given directory and provide the necessary data base for the program
# "pscmp07a" for computing time-dependent deformation, geoid and gravity changes
# induced by an earthquake with extended fault planes via linear superposition.
# For more details, please read the accompanying READ.ME file.
#
# written by Rongjiang Wang
# GeoForschungsZentrum Potsdam
# e-mail: wang@gfz-potsdam.de
# phone +49 331 2881209
# fax +49 331 2881204
#
# Last modified: Potsdam, Jan, 2008
#
#################################################################
## ##
## Cylindrical coordinates (Z positive downwards!) are used. ##
## ##
## If not specified otherwise, SI Unit System is used overall! ##
## ##
#################################################################
#
#------------------------------------------------------------------------------
#
# PARAMETERS FOR SOURCE-OBSERVATION CONFIGURATIONS
# ================================================
# 1. the uniform depth of the observation points [km], switch for oceanic (0)
# or continental(1) earthquakes;
# 2. number of (horizontal) observation distances (> 1 and <= nrmax defined in
# psgglob.h), start and end distances [km], ratio (>= 1.0) between max. and
# min. sampling interval (1.0 for equidistant sampling);
# 3. number of equidistant source depths (>= 1 and <= nzsmax defined in
# psgglob.h), start and end source depths [km];
#
# r1,r2 = minimum and maximum horizontal source-observation
# distances (r2 > r1).
# zs1,zs2 = minimum and maximum source depths (zs2 >= zs1 > 0).
#
# Note that the same sampling rates dr_min and dzs will be used later by the
# program "pscmp07a" for discretizing the finite source planes to a 2D grid
# of point sources.
#------------------------------------------------------------------------------
0.0 1
101 0.0 1000.0 10.0
59 0.5 29.5
#------------------------------------------------------------------------------
#
# PARAMETERS FOR TIME SAMPLING
# ============================
# 1. number of time samples (<= ntmax def. in psgglob.h) and time window [days].
#
# Note that nt (> 0) should be power of 2 (the fft-rule). If nt = 1, the
# coseismic (t = 0) changes will be computed; If nt = 2, the coseismic
# (t = 0) and steady-state (t -> infinity) changes will be computed;
# Otherwise, time series for the given time samples will be computed.
#
#------------------------------------------------------------------------------
1 15330.0
#------------------------------------------------------------------------------
#
# PARAMETERS FOR WAVENUMBER INTEGRATION
# =====================================
# 1. relative accuracy of the wave-number integration (suggested: 0.1 - 0.01)
# 2. factor (> 0 and < 1) for including influence of earth's gravity on the
# deformation field (e.g. 0/1 = without / with 100% gravity effect).
#------------------------------------------------------------------------------
0.025
0.00
#------------------------------------------------------------------------------
#
# PARAMETERS FOR OUTPUT FILES
# ===========================
#
# 1. output directory
# 2. file names for 3 displacement components (uz, ur, ut)
# 3. file names for 6 stress components (szz, srr, stt, szr, srt, stz)
# 4. file names for radial and tangential tilt components (as measured by a
# borehole tiltmeter), rigid rotation of horizontal plane, geoid and gravity
# changes (tr, tt, rot, gd, gr)
#
# Note that all file or directory names should not be longer than 80
# characters. Directory and subdirectoy names must be separated and ended
# by / (unix) or \ (dos)! All file names should be given without extensions
# that will be appended automatically by ".ep" for the explosion (inflation)
# source, ".ss" for the strike-slip source, ".ds" for the dip-slip source,
# and ".cl" for the compensated linear vector dipole source)
#
#------------------------------------------------------------------------------
'./'
'uz' 'ur' 'ut'
'szz' 'srr' 'stt' 'szr' 'srt' 'stz'
'tr' 'tt' 'rot' 'gd' 'gr'
#------------------------------------------------------------------------------
#
# GLOBAL MODEL PARAMETERS
# =======================
# 1. number of data lines of the layered model (<= lmax as defined in psgglob.h)
#
# The surface and the upper boundary of the half-space as well as the
# interfaces at which the viscoelastic parameters are continuous, are all
# defined by a single data line; All other interfaces, at which the
# viscoelastic parameters are discontinuous, are all defined by two data
# lines (upper-side and lower-side values). This input format could also be
# used for a graphic plot of the layered model. Layers which have different
# parameter values at top and bottom, will be treated as layers with a
# constant gradient, and will be discretised to a number of homogeneous
# sublayers. Errors due to the discretisation are limited within about 5%
# (changeable, see psgglob.h).
#
# 2.... parameters of the multilayered model
#
# Burgers rheology (a Kelvin-Voigt body and a Maxwell body in series
# connection) for relaxation of shear modulus is implemented. No relaxation
# of compressional modulus is considered.
#
# eta1 = transient viscosity (dashpot of the Kelvin-Voigt body; <= 0 means
# infinity value)
# eta2 = steady-state viscosity (dashpot of the Maxwell body; <= 0 means
# infinity value)
# alpha = ratio between the effective and the unrelaxed shear modulus
# = mu1/(mu1+mu2) (> 0 and <= 1)
#
# Special cases:
# (1) Elastic: eta1 and eta2 <= 0 (i.e. infinity); alpha meaningless
# (2) Maxwell body: eta1 <= 0 (i.e. eta1 = infinity)
# or alpha = 1 (i.e. mu1 = infinity)
# (3) Standard-Linear-Solid: eta2 <= 0 (i.e. infinity)
#------------------------------------------------------------------------------
9 |int: no_model_lines;
#------------------------------------------------------------------------------
# no depth[km] vp[km/s] vs[km/s] rho[kg/m^3] eta1[Pa*s] eta2[Pa*s] alpha
#------------------------------------------------------------------------------
1 0.0 2.5000 1.2000 2100.0 0.0E+00 0.0E+00 1.000
2 1.5 2.5000 1.2000 2100.0 0.0E+00 0.0E+00 1.000
3 1.5 4.5000 2.6000 2500.0 0.0E+00 0.0E+00 1.000
4 8.0 4.5000 2.6000 2500.0 0.0E+00 0.0E+00 1.000
5 8.0 6.2000 3.6000 2800.0 0.0E+00 0.0E+00 1.000
6 17.0 6.2000 3.6000 2800.0 0.0E+00 0.0E+00 1.000
7 17.0 6.4000 3.6000 2850.0 0.0E+00 0.0E+00 1.000
8 29.0 6.4000 3.6000 2850.0 0.0E+00 0.0E+00 1.000
9 29.0 6.8000 3.8000 2950.0 0.0E+00 0.0E+00 1.000
#=======================end of input===========================================

159
examples/psgrn08_input.dat
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#=============================================================================
# This is input file of FORTRAN77 program "psgrn08" for computing responses
# (Green's functions) of a multi-layered viscoelastic halfspace to point
# dislocation sources buried at different depths. All results will be stored in
# the given directory and provide the necessary data base for the program
# "pscmp07a" for computing time-dependent deformation, geoid and gravity changes
# induced by an earthquake with extended fault planes via linear superposition.
# For more details, please read the accompanying READ.ME file.
#
# written by Rongjiang Wang
# GeoForschungsZentrum Potsdam
# e-mail: wang@gfz-potsdam.de
# phone +49 331 2881209
# fax +49 331 2881204
#
# Last modified: Potsdam, July, 2008
#
# References:
#
# (1) Wang, R., F. Lorenzo-Martín and F. Roth (2003), Computation of deformation
# induced by earthquakes in a multi-layered elastic crust - FORTRAN programs
# EDGRN/EDCMP, Computer and Geosciences, 29(2), 195-207.
# (2) Wang, R., F. Lorenzo-Martin and F. Roth (2006), PSGRN/PSCMP - a new code for
# calculating co- and post-seismic deformation, geoid and gravity changes
# based on the viscoelastic-gravitational dislocation theory, Computers and
# Geosciences, 32, 527-541. DOI:10.1016/j.cageo.2005.08.006.
# (3) Wang, R. (2005), The dislocation theory: a consistent way for including the
# gravity effect in (visco)elastic plane-earth models, Geophysical Journal
# International, 161, 191-196.
#
#################################################################
## ##
## Cylindrical coordinates (Z positive downwards!) are used. ##
## ##
## If not specified otherwise, SI Unit System is used overall! ##
## ##
#################################################################
#
#------------------------------------------------------------------------------
#
# PARAMETERS FOR SOURCE-OBSERVATION CONFIGURATIONS
# ================================================
# 1. the uniform depth of the observation points [km], switch for oceanic (0)
# or continental(1) earthquakes;
# 2. number of (horizontal) observation distances (> 1 and <= nrmax defined in
# psgglob.h), start and end distances [km], ratio (>= 1.0) between max. and
# min. sampling interval (1.0 for equidistant sampling);
# 3. number of equidistant source depths (>= 1 and <= nzsmax defined in
# psgglob.h), start and end source depths [km];
#
# r1,r2 = minimum and maximum horizontal source-observation
# distances (r2 > r1).
# zs1,zs2 = minimum and maximum source depths (zs2 >= zs1 > 0).
#
# Note that the same sampling rates dr_min and dzs will be used later by the
# program "pscmp08" for discretizing the finite source planes to a 2D grid
# of point sources.
#------------------------------------------------------------------------------
0.0 0
73 0.0 2000.0 10.0
30 1.0 59.0
#------------------------------------------------------------------------------
#
# PARAMETERS FOR TIME SAMPLING
# ============================
# 1. number of time samples (<= ntmax def. in psgglob.h) and time window [days].
#
# Note that nt (> 0) should be power of 2 (the fft-rule). If nt = 1, the
# coseismic (t = 0) changes will be computed; If nt = 2, the coseismic
# (t = 0) and steady-state (t -> infinity) changes will be computed;
# Otherwise, time series for the given time samples will be computed.
#
#------------------------------------------------------------------------------
512 46628.75
#------------------------------------------------------------------------------
#
# PARAMETERS FOR WAVENUMBER INTEGRATION
# =====================================
# 1. relative accuracy of the wave-number integration (suggested: 0.1 - 0.01)
# 2. factor (> 0 and < 1) for including influence of earth's gravity on the
# deformation field (e.g. 0/1 = without / with 100% gravity effect).
#------------------------------------------------------------------------------
0.025
1.00
#------------------------------------------------------------------------------
#
# PARAMETERS FOR OUTPUT FILES
# ===========================
#
# 1. output directory
# 2. file names for 3 displacement components (uz, ur, ut)
# 3. file names for 6 stress components (szz, srr, stt, szr, srt, stz)
# 4. file names for radial and tangential tilt components (as measured by a
# borehole tiltmeter), rigid rotation of horizontal plane, geoid and gravity
# changes (tr, tt, rot, gd, gr)
#
# Note that all file or directory names should not be longer than 80
# characters. Directory and subdirectoy names must be separated and ended
# by / (unix) or \ (dos)! All file names should be given without extensions
# that will be appended automatically by ".ep" for the explosion (inflation)
# source, ".ss" for the strike-slip source, ".ds" for the dip-slip source,
# and ".cl" for the compensated linear vector dipole source)
#
#------------------------------------------------------------------------------
'./'
'uz' 'ur' 'ut'
'szz' 'srr' 'stt' 'szr' 'srt' 'stz'
'tr' 'tt' 'rot' 'gd' 'gr'
#------------------------------------------------------------------------------
#
# GLOBAL MODEL PARAMETERS
# =======================
# 1. number of data lines of the layered model (<= lmax as defined in psgglob.h)
#
# The surface and the upper boundary of the half-space as well as the
# interfaces at which the viscoelastic parameters are continuous, are all
# defined by a single data line; All other interfaces, at which the
# viscoelastic parameters are discontinuous, are all defined by two data
# lines (upper-side and lower-side values). This input format could also be
# used for a graphic plot of the layered model. Layers which have different
# parameter values at top and bottom, will be treated as layers with a
# constant gradient, and will be discretised to a number of homogeneous
# sublayers. Errors due to the discretisation are limited within about 5%
# (changeable, see psgglob.h).
#
# 2.... parameters of the multilayered model
#
# Burgers rheology [a Kelvin-Voigt body (mu1, eta1) and a Maxwell body
# (mu2, eta2) in series connection] for relaxation of shear modulus is
# implemented. No relaxation of compressional modulus is considered.
#
# eta1 = transient viscosity (dashpot of the Kelvin-Voigt body; <= 0 means
# infinity value)
# eta2 = steady-state viscosity (dashpot of the Maxwell body; <= 0 means
# infinity value)
# alpha = ratio between the effective and the unrelaxed shear modulus
# = mu1/(mu1+mu2) (> 0 and <= 1) (unrelaxed modulus mu2 is
# derived from S wave velocity and density)
#
# Special cases:
# (1) Elastic: eta1 and eta2 <= 0 (i.e. infinity); alpha meaningless
# (2) Maxwell body: eta1 <= 0 (i.e. eta1 = infinity)
# or alpha = 1 (i.e. mu1 = infinity)
# (3) Standard-Linear-Solid: eta2 <= 0 (i.e. infinity)
# fully relaxed modulus = alpha*unrelaxed_modulus
# characteristic relaxation time = eta1*alpha/unrelaxed_modulus
#------------------------------------------------------------------------------
7 |int: no_model_lines;
#------------------------------------------------------------------------------
# no depth[km] vp[km/s] vs[km/s] rho[kg/m^3] eta1[Pa*s] eta2[Pa*s] alpha
#------------------------------------------------------------------------------
1 0.000 6.0000 3.4600 2600.0 0.0E+00 0.0E+00 1.000
2 16.000 6.0000 3.4600 2600.0 0.0E+00 0.0E+00 1.000
3 16.000 6.7000 3.8700 2800.0 0.0E+00 0.0E+00 1.000
4 30.000 6.7000 3.8700 2800.0 0.0E+00 0.0E+00 1.000
5 30.000 8.0000 4.6200 3400.0 0.0E+00 0.0E+00 1.000
6 60.000 8.0000 4.6200 3400.0 0.0E+00 0.0E+00 1.000
7 60.000 8.0000 4.6200 3400.0 0.0E+00 1.0E+19 1.000
#=======================end of input===========================================

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src/pscmp/Makefile.am
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bin_PROGRAMS = fomosto_pscmp2008a
fomosto_pscmp2008a_SOURCES = cmbfix.f cmbopt.f dc3d.f disazi.f getdata.f mscorr.f prestress.f pscdisc.f pscglob.h pscgrn.f pscmain.f pscokada.f pscout.f roots3.f

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src/pscmp/cmbfix.f
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subroutine cmbfix(sxx,syy,szz,sxy,syz,szx,
& p,f,cmb,sig,st,di,ra)
implicit none
c
c calculate Coulomb stress
c
c input:
c stress tensor, pore pressure, friction coefficient
c rupture orientation parameter (strike, dip and rake)
c
double precision sxx,syy,szz,sxy,syz,szx,p,f,cmb,sig,st,di,ra
c
c return:
c Coulomb stress (cmb) and normal stress (sig)
c
c local memories:
c
integer i,j
double precision pi,deg2rad,st0,di0,ra0,tau
double precision s(3,3),ns(3),ts(3),rst(3),rdi(3)
c
pi=4.d0*datan(1.d0)
deg2rad=pi/180.d0
st0=st*deg2rad
di0=di*deg2rad
ra0=ra*deg2rad
c
s(1,1)=sxx
s(1,2)=sxy
s(1,3)=szx
s(2,1)=sxy
s(2,2)=syy
s(2,3)=syz
s(3,1)=szx
s(3,2)=syz
s(3,3)=szz
c
ns(1)=dsin(di0)*dcos(st0+0.5d0*pi)
ns(2)=dsin(di0)*dsin(st0+0.5d0*pi)
ns(3)=-dcos(di0)
c
rst(1)=dcos(st0)
rst(2)=dsin(st0)
rst(3)=0.d0
c
rdi(1)=dcos(di0)*dcos(st0+0.5d0*pi)
rdi(2)=dcos(di0)*dsin(st0+0.5d0*pi)
rdi(3)=dsin(di0)
c
do i=1,3
ts(i)=rst(i)*dcos(ra0)-rdi(i)*dsin(ra0)
enddo
c
sig=0.d0
tau=0.d0
do j=1,3
do i=1,3
sig=sig+ns(i)*s(i,j)*ns(j)
tau=tau+ts(i)*s(i,j)*ns(j)
enddo
enddo
c
cmb=tau+f*(sig+p)
return
end

230
src/pscmp/cmbopt.f
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subroutine cmbopt(sxx,syy,szz,sxy,syz,szx,p,f,key,
& st0,di0,ra0,
& cmb,sig,st1,di1,ra1,st2,di2,ra2)
implicit none
c
c Coulomb stress with the optimal orientation
c
c input:
c stress tensor, pore pressure, friction coefficient
c key = 0: determine optimal Coulomb stress only;
c 1: determine optimal Coulomb stress and orientations
c
integer key
double precision sxx,syy,szz,sxy,syz,szx,p,f
c
c output
c max. Coulomb stress at the two optimally oriented fault planes
c sig = normal stress
c
double precision st0,di0,ra0,cmb,sig,st1,di1,ra1,st2,di2,ra2
c
c local memories:
c
integer i,j,j0,j1,j2,jmin,jmax
double precision pi,b,c,d,s1,s2,s3,snn,alpha,am,swap
double precision cmb1,cmb2,cmb3,det1,det2,det3,detmax,rmax
double precision s(3),r(3,3),ns(3,2),ts(3,2)
double precision mscorr
c
pi=4.d0*datan(1.d0)
c
if(sxy.eq.0.d0.and.syz.eq.0.d0.and.szx.eq.0.d0)then
s(1)=sxx
s(2)=syy
s(3)=szz
else
b=-(sxx+syy+szz)
c=sxx*syy+syy*szz+szz*sxx-sxy**2-syz**2-szx**2
d=sxx*syz**2+syy*szx**2+szz*sxy**2-2.d0*sxy*syz*szx-sxx*syy*szz
call roots3(b,c,d,s)
endif
c
cmb1=0.5d0*dabs(s(2)-s(3))*dsqrt(1+f*f)+f*(0.5d0*(s(2)+s(3))+p)
cmb2=0.5d0*dabs(s(3)-s(1))*dsqrt(1+f*f)+f*(0.5d0*(s(3)+s(1))+p)
cmb3=0.5d0*dabs(s(1)-s(2))*dsqrt(1+f*f)+f*(0.5d0*(s(1)+s(2))+p)
c
cmb=dmax1(cmb1,cmb2,cmb3)
st1=0.d0
di1=0.d0
ra1=0.d0
st2=0.d0
di2=0.d0
ra2=0.d0
if(key.eq.0.or.s(1).eq.s(2).and.s(2).eq.s(3))return
c
if(cmb.eq.cmb1)then
s3=s(1)
s1=dmax1(s(2),s(3))
s2=dmin1(s(2),s(3))
else if(cmb.eq.cmb2)then
s1=dmax1(s(3),s(1))
s2=dmin1(s(3),s(1))
s3=s(2)
else
s1=dmax1(s(1),s(2))
s2=dmin1(s(1),s(2))
s3=s(3)
endif
sig=0.5d0*((s1-s2)*f/dsqrt(1+f*f)+s1+s2)
s(1)=s1
s(2)=s2
s(3)=s3
c
c determine eigenvectors (the principal stress directions)
c
j0=0
if(s(1).eq.s(2))then
j0=3
j1=1
j2=2
else if(s(2).eq.s(3))then
j0=1
j1=2
j2=3
else if(s(3).eq.s(1))then
j0=2
j1=1
j2=3
endif
c
if(j0.eq.0)then
jmin=1
jmax=3
else
jmin=j0
jmax=j0
print *,' Warning: more than two optimal rupture orientations!'
endif
c
do j=jmin,jmax
det1=syz*syz-(syy-s(j))*(szz-s(j))
det2=szx*szx-(sxx-s(j))*(szz-s(j))
det3=sxy*sxy-(sxx-s(j))*(syy-s(j))
detmax=dmax1(dabs(det1),dabs(det2),dabs(det3))
if(dabs(det1).eq.detmax)then
r(1,j)=det1
r(2,j)=(szz-s(j))*sxy-syz*szx
r(3,j)=(syy-s(j))*szx-syz*sxy
else if(dabs(det2).eq.detmax)then
r(1,j)=(szz-s(j))*sxy-szx*syz
r(2,j)=det2
r(3,j)=(sxx-s(j))*syz-szx*sxy
else
r(1,j)=(syy-s(j))*szx-sxy*syz
r(2,j)=(sxx-s(j))*syz-sxy*szx
r(3,j)=det3
endif
enddo
c
c if any two eigenvalues are identical, their corresponding
c eigenvectors should be redetermined by orthogonalizing
c them to the 3. eigenvector as well as to each other
c
if(j0.gt.0)then
rmax=dmax1(dabs(r(1,j0)),dabs(r(2,j0)),dabs(r(3,j0)))
if(dabs(r(1,j0)).eq.rmax)then
r(1,j1)=-r(2,j0)
r(2,j1)=r(1,j0)
r(3,j1)=0.d0
c
r(1,j2)=-r(3,j0)
r(2,j2)=0.d0
r(3,j2)=r(1,j0)
am=r(1,j1)*r(1,j2)/(r(1,j1)**2+r(2,j1)**2)
do i=1,3
r(i,j2)=r(i,j2)-am*r(i,j1)
enddo
else if(dabs(r(2,j0)).eq.rmax)then
r(1,j1)=r(2,j0)
r(2,j1)=-r(1,j0)
r(3,j1)=0.d0
c
r(1,j2)=0.d0
r(2,j2)=-r(3,j0)
r(3,j2)=r(2,j0)
am=r(2,j1)*r(2,j2)/(r(1,j1)**2+r(2,j1)**2)
do i=1,3
r(i,j2)=r(i,j2)-am*r(i,j1)
enddo
else if(dabs(r(3,j0)).eq.rmax)then
r(1,j1)=r(3,j0)
r(2,j1)=0.d0
r(3,j1)=-r(1,j0)
c
r(1,j2)=0.d0
r(2,j2)=r(3,j0)
r(3,j2)=-r(2,j0)
am=r(3,j1)*r(3,j2)/(r(1,j1)**2+r(3,j1)**2)
do i=1,3
r(i,j2)=r(i,j2)-am*r(i,j1)
enddo
endif
endif
c
do j=1,3
am=dsqrt(r(1,j)**2+r(2,j)**2+r(3,j)**2)
do i=1,3
r(i,j)=r(i,j)/am
enddo
enddo
c
alpha=0.5d0*datan2(1.d0,f)
snn=s(1)*dcos(alpha)**2+s(2)*dsin(alpha)**2
c
c determine the two optimal fault-plane normals
c
do i=1,3
ns(i,1)=r(i,1)*dcos(alpha)+r(i,2)*dsin(alpha)
ns(i,2)=r(i,1)*dcos(alpha)-r(i,2)*dsin(alpha)
enddo
c
c determine the direction of max. shear stress
c
do j=1,2
am=dsqrt(ns(1,j)**2+ns(2,j)**2+ns(3,j)**2)
if(ns(3,j).gt.0.d0)am=-am
do i=1,3
ns(i,j)=ns(i,j)/am
enddo
ts(1,j)=(sxx-snn)*ns(1,j)+sxy*ns(2,j)+szx*ns(3,j)
ts(2,j)=sxy*ns(1,j)+(syy-snn)*ns(2,j)+syz*ns(3,j)
ts(3,j)=szx*ns(1,j)+syz*ns(2,j)+(szz-snn)*ns(3,j)
am=dsqrt(ts(1,j)**2+ts(2,j)**2+ts(3,j)**2)
do i=1,3
ts(i,j)=ts(i,j)/am
enddo
enddo
c
c determine the two optimal focal mechanisms
c
st1=dmod(datan2(ns(2,1),ns(1,1))*180.d0/pi+270.d0,360.d0)
di1=dacos(-ns(3,1))*180.d0/pi
s1=dcos(st1*pi/180.d0)
s2=dsin(st1*pi/180.d0)
ra1=dacos(dmin1(dmax1(s1*ts(1,1)+s2*ts(2,1),-1.d0),1.d0))
& *180.d0/pi
if(ts(3,1).gt.0.d0)ra1=-ra1
c
st2=dmod(datan2(ns(2,2),ns(1,2))*180.d0/pi+270.d0,360.d0)
di2=dacos(-ns(3,2))*180.d0/pi
s1=dcos(st2*pi/180.d0)
s2=dsin(st2*pi/180.d0)
ra2=dacos(dmin1(dmax1(s1*ts(1,2)+s2*ts(2,2),-1.d0),1.d0))
& *180.d0/pi
if(ts(3,2).gt.0.d0)ra2=-ra2
c
if(mscorr(st0,di0,ra0,st1,di1,ra1).lt.
& mscorr(st0,di0,ra0,st2,di2,ra2))then
swap=st1
st1=st2
st2=swap
swap=di1
di1=di2
di2=swap
swap=ra1
ra1=ra2
ra2=swap
endif
return
end

665
src/pscmp/dc3d.f
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SUBROUTINE DC3D(ALPHA,X,Y,Z,DEPTH,DIP, 04610005
* AL1,AL2,AW1,AW2,DISL1,DISL2,DISL3, 04620005
* UX,UY,UZ,UXX,UYX,UZX,UXY,UYY,UZY,UXZ,UYZ,UZZ,IRET) 04630005
IMPLICIT REAL*8 (A-H,O-Z) 04640005
REAL*4 ALPHA,X,Y,Z,DEPTH,DIP,AL1,AL2,AW1,AW2,DISL1,DISL2,DISL3, 04650005
* UX,UY,UZ,UXX,UYX,UZX,UXY,UYY,UZY,UXZ,UYZ,UZZ 04660005
C 04670005
C******************************************************************** 04680005
C***** ***** 04690005
C***** DISPLACEMENT AND STRAIN AT DEPTH ***** 04700005
C***** DUE TO BURIED FINITE FAULT IN A SEMIINFINITE MEDIUM ***** 04710005
C***** CODED BY Y.OKADA ... SEP.1991 ***** 04720005
C***** REVISED ... NOV.1991, APR.1992, MAY.1993, ***** 04730005
C***** JUL.1993 ***** 04740005
C******************************************************************** 04750005
C 04760005
C***** INPUT 04770005
C***** ALPHA : MEDIUM CONSTANT (LAMBDA+MYU)/(LAMBDA+2*MYU) 04780005
C***** X,Y,Z : COORDINATE OF OBSERVING POINT 04790005
C***** DEPTH : DEPTH OF REFERENCE POINT 04800005
C***** DIP : DIP-ANGLE (DEGREE) 04810005
C***** AL1,AL2 : FAULT LENGTH RANGE 04820005
C***** AW1,AW2 : FAULT WIDTH RANGE 04830005
C***** DISL1-DISL3 : STRIKE-, DIP-, TENSILE-DISLOCATIONS 04840005
C 04850005
C***** OUTPUT 04860005
C***** UX, UY, UZ : DISPLACEMENT ( UNIT=(UNIT OF DISL) 04870005
C***** UXX,UYX,UZX : X-DERIVATIVE ( UNIT=(UNIT OF DISL) / 04880005
C***** UXY,UYY,UZY : Y-DERIVATIVE (UNIT OF X,Y,Z,DEPTH,AL,AW) )04890005
C***** UXZ,UYZ,UZZ : Z-DERIVATIVE 04900005
C***** IRET : RETURN CODE ( =0....NORMAL, =1....SINGULAR ) 04910005
C 04920005
COMMON /C0/DUMMY(5),SD,CD,dumm(5) 04930005
DIMENSION XI(2),ET(2),KXI(2),KET(2) 04940005
DIMENSION U(12),DU(12),DUA(12),DUB(12),DUC(12) 04950005
DATA F0,EPS/ 0.D0, 1.D-06 / 04960005
C----- 04970005
IF(Z.GT.0.) WRITE(*,'('' ** POSITIVE Z WAS GIVEN IN SUB-DC3D'')') 04980005
DO 111 I=1,12 04990005
U (I)=F0 05000005
DUA(I)=F0 05010005
DUB(I)=F0 05020005
DUC(I)=F0 05030005
111 CONTINUE 05040005
AALPHA=ALPHA 05050005
DDIP=DIP 05060005
CALL DCCON0(AALPHA,DDIP) 05070005
C----- 05080005
ZZ=Z 05090005
DD1=DISL1 05100005
DD2=DISL2 05110005
DD3=DISL3 05120005
XI(1)=X-AL1 05130005
XI(2)=X-AL2 05140005
IF(DABS(XI(1)).LT.EPS) XI(1)=F0 05150005
IF(DABS(XI(2)).LT.EPS) XI(2)=F0 05160005
C====================================== 05170005
C===== REAL-SOURCE CONTRIBUTION ===== 05180005
C====================================== 05190005
D=DEPTH+Z 05200005
P=Y*CD+D*SD 05210005
Q=Y*SD-D*CD 05220005
ET(1)=P-AW1 05230005
ET(2)=P-AW2 05240005
IF(DABS(Q).LT.EPS) Q=F0 05250005
IF(DABS(ET(1)).LT.EPS) ET(1)=F0 05260005
IF(DABS(ET(2)).LT.EPS) ET(2)=F0 05270005
C-------------------------------- 05280005
C----- REJECT SINGULAR CASE ----- 05290005
C-------------------------------- 05300005
C----- ON FAULT EDGE 05310014
IF(Q.EQ.F0 05320014
* .AND.( (XI(1)*XI(2).LE.F0 .AND. ET(1)*ET(2).EQ.F0) 05330014
* .OR.(ET(1)*ET(2).LE.F0 .AND. XI(1)*XI(2).EQ.F0) )) 05340014
* GO TO 99 05350005
C----- ON NEGATIVE EXTENSION OF FAULT EDGE 05360014
KXI(1)=0 05370005
KXI(2)=0 05380005
KET(1)=0 05390005
KET(2)=0 05400005
R12=DSQRT(XI(1)*XI(1)+ET(2)*ET(2)+Q*Q) 05410005
R21=DSQRT(XI(2)*XI(2)+ET(1)*ET(1)+Q*Q) 05420005
R22=DSQRT(XI(2)*XI(2)+ET(2)*ET(2)+Q*Q) 05430005
IF(XI(1).LT.F0 .AND. R21+XI(2).LT.EPS) KXI(1)=1 05440011
IF(XI(1).LT.F0 .AND. R22+XI(2).LT.EPS) KXI(2)=1 05450011
IF(ET(1).LT.F0 .AND. R12+ET(2).LT.EPS) KET(1)=1 05460011
IF(ET(1).LT.F0 .AND. R22+ET(2).LT.EPS) KET(2)=1 05470011
C===== 05480015
DO 223 K=1,2 05490005
DO 222 J=1,2 05500005
CALL DCCON2(XI(J),ET(K),Q,SD,CD,KXI(K),KET(J)) 05510014
CALL UA(XI(J),ET(K),Q,DD1,DD2,DD3,DUA) 05520005
C----- 05530005
DO 220 I=1,10,3 05540005
DU(I) =-DUA(I) 05550005
DU(I+1)=-DUA(I+1)*CD+DUA(I+2)*SD 05560005
DU(I+2)=-DUA(I+1)*SD-DUA(I+2)*CD 05570005
IF(I.LT.10) GO TO 220 05580005
DU(I) =-DU(I) 05590005
DU(I+1)=-DU(I+1) 05600005
DU(I+2)=-DU(I+2) 05610005
220 CONTINUE 05620005
DO 221 I=1,12 05630005
IF(J+K.NE.3) U(I)=U(I)+DU(I) 05640005
IF(J+K.EQ.3) U(I)=U(I)-DU(I) 05650005
221 CONTINUE 05660005
C----- 05670005
222 CONTINUE 05680005
223 CONTINUE 05690005
C======================================= 05700005
C===== IMAGE-SOURCE CONTRIBUTION ===== 05710005
C======================================= 05720005
D=DEPTH-Z 05730005
P=Y*CD+D*SD 05740005
Q=Y*SD-D*CD 05750005
ET(1)=P-AW1 05760005
ET(2)=P-AW2 05770005
IF(DABS(Q).LT.EPS) Q=F0 05780005
IF(DABS(ET(1)).LT.EPS) ET(1)=F0 05790005
IF(DABS(ET(2)).LT.EPS) ET(2)=F0 05800005
C-------------------------------- 05810005
C----- REJECT SINGULAR CASE ----- 05820005
C-------------------------------- 05830005
C----- ON FAULT EDGE 05840015
IF(Q.EQ.F0 05850015
* .AND.( (XI(1)*XI(2).LE.F0 .AND. ET(1)*ET(2).EQ.F0) 05860015
* .OR.(ET(1)*ET(2).LE.F0 .AND. XI(1)*XI(2).EQ.F0) )) 05870015
* GO TO 99 05880015
C----- ON NEGATIVE EXTENSION OF FAULT EDGE 05890015
KXI(1)=0 05900005
KXI(2)=0 05910005
KET(1)=0 05920005
KET(2)=0 05930005
R12=DSQRT(XI(1)*XI(1)+ET(2)*ET(2)+Q*Q) 05940005
R21=DSQRT(XI(2)*XI(2)+ET(1)*ET(1)+Q*Q) 05950005
R22=DSQRT(XI(2)*XI(2)+ET(2)*ET(2)+Q*Q) 05960005
IF(XI(1).LT.F0 .AND. R21+XI(2).LT.EPS) KXI(1)=1 05970011
IF(XI(1).LT.F0 .AND. R22+XI(2).LT.EPS) KXI(2)=1 05980011
IF(ET(1).LT.F0 .AND. R12+ET(2).LT.EPS) KET(1)=1 05990011
IF(ET(1).LT.F0 .AND. R22+ET(2).LT.EPS) KET(2)=1 06000011
C===== 06010015
DO 334 K=1,2 06020005
DO 333 J=1,2 06030005
CALL DCCON2(XI(J),ET(K),Q,SD,CD,KXI(K),KET(J)) 06040014
CALL UA(XI(J),ET(K),Q,DD1,DD2,DD3,DUA) 06050005
CALL UB(XI(J),ET(K),Q,DD1,DD2,DD3,DUB) 06060005
CALL UC(XI(J),ET(K),Q,ZZ,DD1,DD2,DD3,DUC) 06070005
C----- 06080005
DO 330 I=1,10,3 06090005
DU(I)=DUA(I)+DUB(I)+Z*DUC(I) 06100005
DU(I+1)=(DUA(I+1)+DUB(I+1)+Z*DUC(I+1))*CD 06110005
* -(DUA(I+2)+DUB(I+2)+Z*DUC(I+2))*SD 06120005
DU(I+2)=(DUA(I+1)+DUB(I+1)-Z*DUC(I+1))*SD 06130005
* +(DUA(I+2)+DUB(I+2)-Z*DUC(I+2))*CD 06140005
IF(I.LT.10) GO TO 330 06150005
DU(10)=DU(10)+DUC(1) 06160005
DU(11)=DU(11)+DUC(2)*CD-DUC(3)*SD 06170005
DU(12)=DU(12)-DUC(2)*SD-DUC(3)*CD 06180005
330 CONTINUE 06190005
DO 331 I=1,12 06200005
IF(J+K.NE.3) U(I)=U(I)+DU(I) 06210005
IF(J+K.EQ.3) U(I)=U(I)-DU(I) 06220005
331 CONTINUE 06230005
C----- 06240005
333 CONTINUE 06250005
334 CONTINUE 06260005
C===== 06270005
UX=U(1) 06280005
UY=U(2) 06290005
UZ=U(3) 06300005
UXX=U(4) 06310005
UYX=U(5) 06320005
UZX=U(6) 06330005
UXY=U(7) 06340005
UYY=U(8) 06350005
UZY=U(9) 06360005
UXZ=U(10) 06370005
UYZ=U(11) 06380005
UZZ=U(12) 06390005
IRET=0 06400005
RETURN 06410005
C=========================================== 06420005
C===== IN CASE OF SINGULAR (ON EDGE) ===== 06430005
C=========================================== 06440005
99 UX=F0 06450005
UY=F0 06460005
UZ=F0 06470005
UXX=F0 06480005
UYX=F0 06490005
UZX=F0 06500005
UXY=F0 06510005
UYY=F0 06520005
UZY=F0 06530005
UXZ=F0 06540005
UYZ=F0 06550005
UZZ=F0 06560005
IRET=1 06570005
RETURN 06580005
END 06590005
SUBROUTINE UA(XI,ET,Q,DISL1,DISL2,DISL3,U) 06600005
IMPLICIT REAL*8 (A-H,O-Z) 06610005
DIMENSION U(12),DU(12) 06620005
C 06630005
C******************************************************************** 06640005
C***** DISPLACEMENT AND STRAIN AT DEPTH (PART-A) ***** 06650005
C***** DUE TO BURIED FINITE FAULT IN A SEMIINFINITE MEDIUM ***** 06660005
C******************************************************************** 06670005
C 06680005
C***** INPUT 06690005
C***** XI,ET,Q : STATION COORDINATES IN FAULT SYSTEM 06700005
C***** DISL1-DISL3 : STRIKE-, DIP-, TENSILE-DISLOCATIONS 06710005
C***** OUTPUT 06720005
C***** U(12) : DISPLACEMENT AND THEIR DERIVATIVES 06730005
C 06740005
COMMON /C0/ALP1,ALP2,ALP3,ALP4,ALP5,SD,CD,SDSD,CDCD,SDCD,S2D,C2D 06750005
COMMON /C2/XI2,ET2,Q2,R,R2,R3,R5,Y,D,TT,ALX,ALE,X11,Y11,X32,Y32, 06760005
* EY,EZ,FY,FZ,GY,GZ,HY,HZ 06770005
DATA F0,F2,PI2/0.D0,2.D0,6.283185307179586D0/ 06780005
C----- 06790005
DO 111 I=1,12 06800005
111 U(I)=F0 06810005
XY=XI*Y11 06820005
QX=Q *X11 06830005
QY=Q *Y11 06840005
C====================================== 06850005
C===== STRIKE-SLIP CONTRIBUTION ===== 06860005
C====================================== 06870005
IF(DISL1.NE.F0) THEN 06880005
DU( 1)= TT/F2 +ALP2*XI*QY 06890005
DU( 2)= ALP2*Q/R 06900005
DU( 3)= ALP1*ALE -ALP2*Q*QY 06910005
DU( 4)=-ALP1*QY -ALP2*XI2*Q*Y32 06920005
DU( 5)= -ALP2*XI*Q/R3 06930005
DU( 6)= ALP1*XY +ALP2*XI*Q2*Y32 06940005
DU( 7)= ALP1*XY*SD +ALP2*XI*FY+D/F2*X11 06950005
DU( 8)= ALP2*EY 06960005
DU( 9)= ALP1*(CD/R+QY*SD) -ALP2*Q*FY 06970005
DU(10)= ALP1*XY*CD +ALP2*XI*FZ+Y/F2*X11 06980005
DU(11)= ALP2*EZ 06990005
DU(12)=-ALP1*(SD/R-QY*CD) -ALP2*Q*FZ 07000005
DO 222 I=1,12 07010005
222 U(I)=U(I)+DISL1/PI2*DU(I) 07020005
ENDIF 07030005
C====================================== 07040005
C===== DIP-SLIP CONTRIBUTION ===== 07050005
C====================================== 07060005
IF(DISL2.NE.F0) THEN 07070005
DU( 1)= ALP2*Q/R 07080005
DU( 2)= TT/F2 +ALP2*ET*QX 07090005
DU( 3)= ALP1*ALX -ALP2*Q*QX 07100005
DU( 4)= -ALP2*XI*Q/R3 07110005
DU( 5)= -QY/F2 -ALP2*ET*Q/R3 07120005
DU( 6)= ALP1/R +ALP2*Q2/R3 07130005
DU( 7)= ALP2*EY 07140005
DU( 8)= ALP1*D*X11+XY/F2*SD +ALP2*ET*GY 07150005
DU( 9)= ALP1*Y*X11 -ALP2*Q*GY 07160005
DU(10)= ALP2*EZ 07170005
DU(11)= ALP1*Y*X11+XY/F2*CD +ALP2*ET*GZ 07180005
DU(12)=-ALP1*D*X11 -ALP2*Q*GZ 07190005
DO 333 I=1,12 07200005
333 U(I)=U(I)+DISL2/PI2*DU(I) 07210005
ENDIF 07220005
C======================================== 07230005
C===== TENSILE-FAULT CONTRIBUTION ===== 07240005
C======================================== 07250005
IF(DISL3.NE.F0) THEN 07260005
DU( 1)=-ALP1*ALE -ALP2*Q*QY 07270005
DU( 2)=-ALP1*ALX -ALP2*Q*QX 07280005
DU( 3)= TT/F2 -ALP2*(ET*QX+XI*QY) 07290005
DU( 4)=-ALP1*XY +ALP2*XI*Q2*Y32 07300005
DU( 5)=-AL