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  1. 146
      .gitignore
  2. 1
      Makefile.am
  3. 32
      README.md
  4. 8
      configure.ac
  5. 235
      examples/ids2020-illapel.inp
  6. 236
      examples/ids2020-iquique.inp
  7. 236
      examples/ids2020-pisagua.inp
  8. 9
      src/Makefile.am
  9. 44
      src/banddpasss.f
  10. 127
      src/bscbilin.f
  11. 313
      src/bscmono.f
  12. 46
      src/butterworth.f
  13. 38
      src/d2dfit.f
  14. 665
      src/dc3d.f
  15. 59
      src/deepphase.f
  16. 59
      src/depthp.f
  17. 136
      src/depthphase.f
  18. 73
      src/disazi.f
  19. 77
      src/four1w.f
  20. 235
      src/idsalloc.f
  21. 175
      src/idsdifgrn.f
  22. 318
      src/idsforward.f
  23. 153
      src/idsgetinp.f
  24. 45
      src/idsgnsdat.f
  25. 241
      src/idsgnsgrn.f
  26. 75
      src/idsinverse.f
  27. 880
      src/idskernel.f
  28. 122
      src/idsmain.f
  29. 509
      src/idsmodel.f
  30. 246
      src/idsosmgrn.f
  31. 464
      src/idsoutput.f
  32. 91
      src/idspstt.f
  33. 47
      src/idssardat.f
  34. 248
      src/idssargrn.f
  35. 202
      src/idsscale.f
  36. 661
      src/idssmdat.f
  37. 368
      src/idssmgrn.f
  38. 94
      src/idssmwei.f
  39. 41
      src/moments.f
  40. 61
      src/rampfit.f
  41. 20
      src/skipdoc.f
  42. 36
      src/stepfit.f
  43. 31
      src/swavelet.f
  44. 496
      src/tpssub.f

146
.gitignore
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# ---> Python
# Byte-compiled / optimized / DLL files
__pycache__/
*.py[cod]
*$py.class
# C extensions
*.so
# Distribution / packaging
.Python
build/
develop-eggs/
dist/
downloads/
eggs/
.eggs/
lib/
lib64/
parts/
sdist/
var/
wheels/
pip-wheel-metadata/
share/python-wheels/
*.egg-info/
.installed.cfg
*.egg
MANIFEST
# PyInstaller
# Usually these files are written by a python script from a template
# before PyInstaller builds the exe, so as to inject date/other infos into it.
*.manifest
*.spec
# Installer logs
pip-log.txt
pip-delete-this-directory.txt
# Unit test / coverage reports
htmlcov/
.tox/
.nox/
.coverage
.coverage.*
.cache
nosetests.xml
coverage.xml
*.cover
*.py,cover
.hypothesis/
.pytest_cache/
# Translations
*.mo
*.pot
# Django stuff:
*.log
local_settings.py
db.sqlite3
db.sqlite3-journal
# Flask stuff:
instance/
.webassets-cache
# Scrapy stuff:
.scrapy
# Sphinx documentation
docs/_build/
# PyBuilder
target/
# Jupyter Notebook
.ipynb_checkpoints
# IPython
profile_default/
ipython_config.py
# pyenv
.python-version
# pipenv
# According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control.
# However, in case of collaboration, if having platform-specific dependencies or dependencies
# having no cross-platform support, pipenv may install dependencies that don't work, or not
# install all needed dependencies.
#Pipfile.lock
# PEP 582; used by e.g. github.com/David-OConnor/pyflow
__pypackages__/
# Celery stuff
celerybeat-schedule
celerybeat.pid
# SageMath parsed files
*.sage.py
# Environments
.env
.venv
env/
venv/
ENV/
env.bak/
venv.bak/
# Spyder project settings
.spyderproject
.spyproject
# Rope project settings
.ropeproject
# mkdocs documentation
/site
# mypy
.mypy_cache/
.dmypy.json
dmypy.json
# Pyre type checker
.pyre/
/aclocal.m4
/autom4te.cache
/configure
/install-sh
/missing
/py-compile
/Makefile.in
/src/Makefile.in
/Makefile
/src/Makefile
/config.log
/config.status
*.o
*.mod
/src/ids2020

1
Makefile.am
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SUBDIRS = src

32
README.md
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@ -1,7 +1,33 @@
# ids
# IDS2020 (packaged as pyrocko backend)
Code to do kinematic earthquake source imaging based on the Iterative Deconvolution and Stacking (IDS) method using seismic waveform and static displacement jointly.
IDS has been written by Rongjiang Wang.
Packaging has been done by Malte Metz.
Packaging has been done by Malte Metz.
## References
- Zhang, Y., Wang, R., Chen, Y., Xu, L., Du, F., Jin, M., Tu, H. and Dahm, T. (2014), Kinematic
Rupture Model and Hypocenter Relocation of the 2013 Mw 6.6 Lushan Earthquake Constrained by
Strong‐Motion and Teleseismic Data, Seismological Research Letters, 85 (1), 15–22,
doi: https://doi.org/10.1785/0220130126.
- Zhang, Y., Wang, R., and Chen, Y.‐T. (2015), Stability of rapid finite‐fault inversion for the
2014 Mw6.1 South Napa earthquake, Geophys. Res. Lett., 42, 10, 263–10, 272,
doi: https://doi.org/10.1002/2015GL066244.
- Diao, F. , Wang, R. , Aochi, H. , Walter, T.R., Zhang, Y. , Zheng, Y. and Xiong, X. (2016),
Rapid kinematic finite-fault inversion for an Mw 7+ scenario earthquake in the Marmara Sea: an
uncertainty study, Geophysical Journal International, 204, 2, 813–824,
https://doi.org/10.1093/gji/ggv459
## Compile and install
```
autoreconf -i # only if 'configure' script is missing
./configure
make
sudo make install
```

8
configure.ac
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AC_INIT([ids], [2020])
AM_INIT_AUTOMAKE([-Wall -Werror foreign])
AC_PROG_F77
AC_CONFIG_FILES([
Makefile
src/Makefile
])
AC_OUTPUT

235
examples/ids2020-illapel.inp
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# Example for the input file of FORTRAN77 program "ids2020" for kinematic earthquake
# source imaging based on the Iterative Deconvolution and Stacking (IDS) Method using
# seismic waveform and static displacement data jointly.
#
# written by Rongjiang Wang
# Helmholtz Centre Potsdam
# GFZ German Research Centre for Geosciences
# e-mail: wang@gfz-potsdam.de
# Phone +49 331 2881209
# Fax +49 331 2881204
#
# Last modified: Potsdam, April, 2020
#
# Reference:
# Zhang and Wang et al. (2014). Automatic imaging of earthquake rupture processes
# by iterative deconvolution and stacking of high-rate GNSS and strong motion
# seismograms, JGR Solid Earth, 199(7), 5633-5650.
#
#################################################################
## ##
## If not specified otherwise, SI Unit System is used overall! ##
## ##
## ##
## Each comment line should start with "#" ##
## and no blank line is allowed! ##
## ##
#################################################################
#
#================================================================================
# EARTHQUAKE LOCATION PARAMETERS
# ------------------------------
# 1. origin time [s] (year, month, day, hour, minute [positive integer number]
# and second [positive or negative real number]), which will be also used as
# the reference time of the output data
# 2. hypocentre (lat[deg], lon[deg], depth[km])
# 3. preliminary estimate of moment magnitude
# Note: the hypocentre location and origin time (at least to minute) should be
# consistent with those given in the "StationInfo.dat" file of the
# waveform data (s. below)
#--------------------------------------------------------------------------------
2015 9 16 22 54 32.0
-31.573 -72.674 22.40
8.3
#================================================================================
# WAVEFORM DATA (HIGH-RATE-GNSS/STRONG-MOTION SEISMOGRAMS)
# --------------------------------------------------------------------
# 1. folder name of the data
# Note: this folder should include a file 'StationInfo.dat' giving all
# necessary information about the local monitoring network.
# 2. lower and upper thresholds of the epicentral distances [km] (stations
# outside the threshold distances will not be used)
# 3. weight of the static offset data (obtained automatically from the velocity
# waveforms after an empirical baseline correction) relative to the waveform
# data (suggested value 0.0-1.0)
#--------------------------------------------------------------------------------
'./WaveformData/'
0.0 8000.0
0.0
#================================================================================
# GREEN'S FUNCTION DATABASE
# -------------------------
# 1. Green's function database (folder name)
# 2. Parameters of Butterworth bandpass filter applied to the synthetics:
# order, lower and upper cutoff frequencies [Hz]
# computation [Hz]
#--------------------------------------------------------------------------------
'../GreenChileSM/GreenFunctions/'
3 0.000 0.50
#================================================================================
# GNSS STATIC OFFSETS
# -------------------
# 1. number of GNSS sites, file name of the data
# Note: if the number of GNSS sites <= 0, then no GNSS data are available.
# the GNSS data file includes one header line and 8 culomns,
# Lat(deg) Lon(deg) East(m) North(m) Up(m) wf_E wf_N wf_Z
# where wf_E/N/Z are within-dataset relative weighting factor proportional to
# inverse error variance
# 2. weight of the whole GNSS dataset relative to the waveform dataset (suggested
# value 0.0-1.0)
#--------------------------------------------------------------------------------
0 './GPSData/GPS_Pisagua.dat'
0.0
#================================================================================
# InSAR LOS DISPLACEMENTS
# -----------------------
# 1. number of InSAR grids, file name of the data
# Note: if the number of InSAR grids <= 0, then no InSAR data are used.
# the InSAR data file includes one header line and 8 culomns,
# Lat(deg) Lon(deg) LOS(m) wf_los incidence(deg) azimuth(deg)
# where wf_los is the within-dataset relative weighting factor
# proportional to inverse error variance
# 2. weight of the whole InSAR dataset in the misfit variance relative to the
# waveform dataset (suggested value 0.0-1.0)
#--------------------------------------------------------------------------------
0 './InSAR/NoInSAR.dat'
0.00
#================================================================================
# Geodetic GREEN'S FUNCTION DATABASE
# ----------------------------------
# 1. geodetic Green's function database (folder name)
# 2. 3 file names of the geodetic Green's functions
#--------------------------------------------------------------------------------
'../GreenChileGD/DGreen/'
'uz' 'ur' 'ut'
#================================================================================
# FAULT PARAMETERS
# ----------------
# 1. ipatch: switch (0/1) for subfaults input form,
# 0 = read discrete patches from files,
# 1 = automatic discretization of a single rectangular fault
#--------------------------------------------------------------------------------
# idisc
#--------------------------------------------------------------------------------
1
#--------------------------------------------------------------------------------
# IF(idisc = 0)THEN
#
# subfault paramters
# ==================
# file_name: data file for discrete patches
# number of sub-faults
# iref selection of the patch reference location
#
# Note: the file includes one header line followed by 8 columns of data:
#
# latitude[deg], longitude[deg], depth[km], length[km], width[km],
# strike[deg], dip[deg], rake[deg]
#
# where (lat, lon, dep) is the reference location of the patch depending
# on iref: 1 = upper-left corner, 2 = upper-right corner,
# 3 = lower-left corner, 4 = lower-right corner,
# 5 = central point (s. Fig.)
#
# definitions for a rectangular fault patch
# =========================================
#
# north(x)
# /
# / | strike
# 1-----------------------2
# |\ p . \ W
# :-\ i . \ i
# | \ l . 5 \ d
# :90 \ S . \ t
# |-dip\ . \ h
# : \. ) rake \
# downward(z) 3-----------------------4
# L e n g t h
#--------------------------------------------------------------------------------
# file_name nsf iref
#--------------------------------------------------------------------------------
# './fault_patches.dat' 288 5
#--------------------------------------------------------------------------------
# ELSE IF(idisc = 1)THEN
#
# 2. focal mechanism: strike, dip and rake angles [deg]
#--------------------------------------------------------------------------------
7.0 19.0 109.0
#================================================================================
# IDS PARAMETERS
# --------------
# 1. maximum numbers of iterations.
# Note: if max. iteration = 0, forward modelling for any dummy data set is
# made using the given rupture model and the filter parameters
# if max. iteration < 0, same as iteration = 0, but without filtering.
#--------------------------------------------------------------------------------
100
#================================================================================
# OUTPUT
# ------
# 1. folder name for the output files (should exist already)
# 2. sub-folder name for comparisons of observed and modelled waveform data
# (should exist already)
# 3. sub-folder name for results from empirical baseline correction of
# waveform data (this folder should exist already)
# 4. file name of major earthquake parameters
# 5. file name of earthquake source-time-function (moment rate history)
# 6. file name of sub-fault source-time-function (moment rate history)
# 7. file name of rupture propagation
# 8. file name of final slip model
# Note: if forward modelling is selected (s. above), the above two files
# should provide data for the given kinematic rupture model and will
# be overwritten after the IDS inversion
# 9. file name of normalized residual waveform variance
#10. file name of predicted static offsets at seismic waveform data sites
#11. file name of comparison between observed and modelled GNSS data
#12. file name of comparison between observed and modelled InSAR data
#13. number of snapshots of the rupture process
#14. file name of the 1. snapshot for the slip released within the given
# time window (t1[s], t2[s])
#--------------------------------------------------------------------------------
'./Output'
'O2S'
'EBC'
'EQ_MP.dat'
'EQ_STF.dat'
'PT_STF.dat'
'Rup_Front.dat'
'SlipModel_Tp_Mean.dat'
'WFMisfitvar.dat'
'SMStaticOffset.dat'
'GNSSDatafit.dat'
'InSARDatafit.dat'
30
'Snapshot_010s.dat' 0.0 10.0
'Snapshot_015s.dat' 0.0 15.0
'Snapshot_020s.dat' 0.0 20.0
'Snapshot_025s.dat' 0.0 25.0
'Snapshot_030s.dat' 0.0 30.0
'Snapshot_035s.dat' 0.0 35.0
'Snapshot_040s.dat' 0.0 40.0
'Snapshot_045s.dat' 0.0 45.0
'Snapshot_050s.dat' 0.0 50.0
'Snapshot_055s.dat' 0.0 55.0
'Snapshot_060s.dat' 0.0 60.0
'Snapshot_065s.dat' 0.0 65.0
'Snapshot_070s.dat' 0.0 70.0
'Snapshot_075s.dat' 0.0 75.0
'Snapshot_080s.dat' 0.0 80.0
'SnapshotR_010s.dat' 5.0 10.0
'SnapshotR_015s.dat' 10.0 15.0
'SnapshotR_020s.dat' 15.0 20.0
'SnapshotR_025s.dat' 20.0 25.0
'SnapshotR_030s.dat' 25.0 30.0
'SnapshotR_035s.dat' 30.0 35.0
'SnapshotR_040s.dat' 35.0 40.0
'SnapshotR_045s.dat' 40.0 45.0
'SnapshotR_050s.dat' 45.0 50.0
'SnapshotR_055s.dat' 50.0 55.0
'SnapshotR_060s.dat' 55.0 60.0
'SnapshotR_065s.dat' 60.0 65.0
'SnapshotR_070s.dat' 65.0 70.0
'SnapshotR_075s.dat' 70.0 75.0
'SnapshotR_080s.dat' 75.0 80.0
#================================end of input====================================

236
examples/ids2020-iquique.inp
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@ -0,0 +1,236 @@
# Example for the input file of FORTRAN77 program "ids2020" for kinematic earthquake
# source imaging based on the Iterative Deconvolution and Stacking (IDS) Method using
# seismic waveform and static displacement data jointly.
#
# written by Rongjiang Wang
# Helmholtz Centre Potsdam
# GFZ German Research Centre for Geosciences
# e-mail: wang@gfz-potsdam.de
# Phone +49 331 2881209
# Fax +49 331 2881204
#
# Last modified: Potsdam, April, 2020
#
# Reference:
# Zhang and Wang et al. (2014). Automatic imaging of earthquake rupture processes
# by iterative deconvolution and stacking of high-rate GNSS and strong motion
# seismograms, JGR Solid Earth, 199(7), 5633-5650.
#
#################################################################
## ##
## If not specified otherwise, SI Unit System is used overall! ##
## ##
## ##
## Each comment line should start with "#" ##
## and no blank line is allowed! ##
## ##
#################################################################
#
#================================================================================
# EARTHQUAKE LOCATION PARAMETERS
# ------------------------------
# 1. origin time [s] (year, month, day, hour, minute [positive integer number]
# and second [positive or negative real number]), which will be also used as
# the reference time of the output data
# 2. hypocentre (lat[deg], lon[deg], depth[km])
# 3. preliminary estimate of moment magnitude
# Note: the hypocentre location and origin time (at least to minute) should be
# consistent with those given in the "StationInfo.dat" file of the
# waveform data (s. below)
#--------------------------------------------------------------------------------
2014 4 3 2 42 72.66
-20.5984 -70.6320 27.33
7.70
#================================================================================
# WAVEFORM DATA (HIGH-RATE-GNSS/STRONG-MOTION/TELE-SEISMIC SEISMOGRAMS)
# --------------------------------------------------------------------
# 1. folder name of the data
# Note: this folder should include a file 'StationInfo.dat' giving all
# necessary information about the local monitoring network.
# 2. lower and upper thresholds of the epicentral distances [km] (stations
# outside the threshold distances will not be used)
# 3. weight of the static offset data (obtained automatically from the velocity
# waveforms after an empirical baseline correction) relative to the waveform
# data (suggested value 0.0-1.0)
#--------------------------------------------------------------------------------
'./WaveformData/'
0.0 500.0
0.1
#================================================================================
# GREEN'S FUNCTION DATABASE
# -------------------------
# 1. Green's function database (folder name)
# 2. Parameters of Butterworth bandpass filter applied to the synthetics:
# order, lower and upper cutoff frequencies [Hz]
# computation [Hz]
#--------------------------------------------------------------------------------
'../GreenChileSM/GreenFunctions/'
3 0.00 0.50
#================================================================================
# GNSS STATIC OFFSETS
# -------------------
# 1. number of GNSS sites, file name of the data
# Note: if the number of GNSS sites <= 0, then no GNSS data are available.
# the GNSS data file includes one header line and 8 culomns,
# Lat(deg) Lon(deg) East(m) North(m) Up(m) wf_E wf_N wf_Z
# where wf_E/N/Z are within-dataset relative weighting factor proportional to
# inverse error variance
# 2. weight of the whole GNSS dataset relative to the waveform dataset (suggested
# value 0.0-1.0)
#--------------------------------------------------------------------------------
21 './GPSData/GPS_Iquique.dat'
1.0
#================================================================================
# InSAR LOS DISPLACEMENTS
# -----------------------
# 1. number of InSAR grids, file name of the data
# Note: if the number of InSAR grids <= 0, then no InSAR data are used.
# the InSAR data file includes one header line and 8 culomns,
# Lat(deg) Lon(deg) LOS(m) wf_los incidence(deg) azimuth(deg)
# where wf_los is the within-dataset relative weighting factor
# proportional to inverse error variance
# 2. weight of the whole InSAR dataset in the misfit variance relative to the
# waveform dataset (suggested value 0.0-1.0)
#--------------------------------------------------------------------------------
0 './InSAR/NoInSAR.dat'
0.00
#================================================================================
# Geodetic GREEN'S FUNCTION DATABASE
# ----------------------------------
# 1. geodetic Green's function database (folder name)
# 2. 3 file names of the geodetic Green's functions
#--------------------------------------------------------------------------------
'../GreenChileGD/DGreen/'
'uz' 'ur' 'ut'
#================================================================================
# FAULT PARAMETERS
# ----------------
# 1. ipatch: switch (0/1) for subfaults input form,
# 0 = read discrete patches from files,
# 1 = automatic discretization of a single rectangular fault
#--------------------------------------------------------------------------------
# idisc
#--------------------------------------------------------------------------------
1
#--------------------------------------------------------------------------------
# IF(idisc = 0)THEN
#
# subfault paramters
# ==================
# file_name: data file for discrete patches
# number of sub-faults
# iref selection of the patch reference location
#
# Note: the file includes one header line followed by 8 columns of data:
#
# latitude[deg], longitude[deg], depth[km], length[km], width[km],
# strike[deg], dip[deg], rake[deg]
#
# where (lat, lon, dep) is the reference location of the patch depending
# on iref: 1 = upper-left corner, 2 = upper-right corner,
# 3 = lower-left corner, 4 = lower-right corner,
# 5 = central point (s. Fig.)
#
# definitions for a rectangular fault patch
# =========================================
#
# north(x)
# /
# / | strike
# 1-----------------------2
# |\ p . \ W
# :-\ i . \ i
# | \ l . 5 \ d
# :90 \ S . \ t
# |-dip\ . \ h
# : \. ) rake \
# downward(z) 3-----------------------4
# L e n g t h
#--------------------------------------------------------------------------------
# file_name nsf iref
#--------------------------------------------------------------------------------
# './fault_patches.dat' 288 5
#--------------------------------------------------------------------------------
#
# ELSE IF(idisc = 1)THEN
#
# 2. focal mechanism: strike, dip and rake angles [deg]
#--------------------------------------------------------------------------------
347.0 25.00 87.00
#================================================================================
# IDS PARAMETERS
# --------------
# 1. maximum numbers of iterations.
# Note: if max. iteration = 0, forward modelling for any dummy data set is
# made using the given rupture model and the filter parameters
# if max. iteration < 0, same as iteration = 0, but without filtering.
#--------------------------------------------------------------------------------
100
#================================================================================
# OUTPUT
# ------
# 1. folder name for the output files (should exist already)
# 2. sub-folder name for comparisons of observed and modelled waveform data
# (should exist already)
# 3. sub-folder name for results from empirical baseline correction of
# waveform data (this folder should exist already)
# 4. file name of major earthquake parameters
# 5. file name of earthquake source-time-function (moment rate history)
# 6. file name of sub-fault source-time-function (moment rate history)
# 7. file name of rupture propagation
# 8. file name of final slip model
# Note: if forward modelling is selected (s. above), the above two files
# should provide data for the given kinematic rupture model and will
# be overwritten after the IDS inversion
# 9. file name of normalized residual waveform variance
#10. file name of predicted static offsets at seismic waveform data sites
#11. file name of comparison between observed and modelled GNSS data
#12. file name of comparison between observed and modelled InSAR data
#13. number of snapshots of the rupture process
#14. file name of the 1. snapshot for the slip released within the given
# time window (t1[s], t2[s])
#--------------------------------------------------------------------------------
'./Output'
'O2S'
'EBC'
'EQ_MP.dat'
'EQ_STF.dat'
'PT_STF.dat'
'Rup_Front.dat'
'SlipModel.dat'
'WFMisfitvar.dat'
'SMStaticOffset.dat'
'GNSSDatafit.dat'
'InSARDatafit.dat'
30
'Snapshot_010s.dat' 0.0 10.0
'Snapshot_015s.dat' 0.0 15.0
'Snapshot_020s.dat' 0.0 20.0
'Snapshot_025s.dat' 0.0 25.0
'Snapshot_030s.dat' 0.0 30.0
'Snapshot_035s.dat' 0.0 35.0
'Snapshot_040s.dat' 0.0 40.0
'Snapshot_045s.dat' 0.0 45.0
'Snapshot_050s.dat' 0.0 50.0
'Snapshot_055s.dat' 0.0 55.0
'Snapshot_060s.dat' 0.0 60.0
'Snapshot_065s.dat' 0.0 65.0
'Snapshot_070s.dat' 0.0 70.0
'Snapshot_075s.dat' 0.0 75.0
'Snapshot_080s.dat' 0.0 80.0
'SnapshotR_010s.dat' 5.0 10.0
'SnapshotR_015s.dat' 10.0 15.0
'SnapshotR_020s.dat' 15.0 20.0
'SnapshotR_025s.dat' 20.0 25.0
'SnapshotR_030s.dat' 25.0 30.0
'SnapshotR_035s.dat' 30.0 35.0
'SnapshotR_040s.dat' 35.0 40.0
'SnapshotR_045s.dat' 40.0 45.0
'SnapshotR_050s.dat' 45.0 50.0
'SnapshotR_055s.dat' 50.0 55.0
'SnapshotR_060s.dat' 55.0 60.0
'SnapshotR_065s.dat' 60.0 65.0
'SnapshotR_070s.dat' 65.0 70.0
'SnapshotR_075s.dat' 70.0 75.0
'SnapshotR_080s.dat' 75.0 80.0
#================================end of input====================================

236
examples/ids2020-pisagua.inp
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@ -0,0 +1,236 @@
# Example for the input file of FORTRAN77 program "ids2020" for kinematic earthquake
# source imaging based on the Iterative Deconvolution and Stacking (IDS) Method using
# seismic waveform and static displacement data jointly.
#
# written by Rongjiang Wang
# Helmholtz Centre Potsdam
# GFZ German Research Centre for Geosciences
# e-mail: wang@gfz-potsdam.de
# Phone +49 331 2881209
# Fax +49 331 2881204
#
# Last modified: Potsdam, April, 2020
#
# Reference:
# Zhang and Wang et al. (2014). Automatic imaging of earthquake rupture processes
# by iterative deconvolution and stacking of high-rate GNSS and strong motion
# seismograms, JGR Solid Earth, 199(7), 5633-5650.
#
#################################################################
## ##
## If not specified otherwise, SI Unit System is used overall! ##
## ##
## ##
## Each comment line should start with "#" ##
## and no blank line is allowed! ##
## ##
#################################################################
#
#================================================================================
# EARTHQUAKE LOCATION PARAMETERS
# ------------------------------
# 1. origin time [s] (year, month, day, hour, minute [positive integer number]
# and second [positive or negative real number]), which will be also used as
# the reference time of the output data
# 2. hypocentre (lat[deg], lon[deg], depth[km])
# 3. preliminary estimate of moment magnitude
# Note: the hypocentre location and origin time (at least to minute) should be
# consistent with those given in the "StationInfo.dat" file of the
# waveform data (s. below)
#--------------------------------------------------------------------------------
2014 4 1 23 45 105.55
-19.5764 -70.9037 28.54
8.10
#================================================================================
# WAVEFORM DATA (HIGH-RATE-GNSS/STRONG-MOTION SEISMOGRAMS)
# --------------------------------------------------------------------
# 1. folder name of the data
# Note: this folder should include a file 'StationInfo.dat' giving all
# necessary information about the local monitoring network.
# 2. lower and upper thresholds of the epicentral distances [km] (stations
# outside the threshold distances will not be used)
# 3. weight of the static offset data (obtained automatically from the velocity
# waveforms after an empirical baseline correction) relative to the waveform
# data (suggested value 0.0-1.0)
#--------------------------------------------------------------------------------
'./WaveformData/'
0.0 800.0
1.0
#================================================================================
# GREEN'S FUNCTION DATABASE
# -------------------------
# 1. Green's function database (folder name)
# 2. Parameters of Butterworth bandpass filter applied to the synthetics:
# order, lower and upper cutoff frequencies [Hz]
# computation [Hz]
#--------------------------------------------------------------------------------
'../GreenChileSM/GreenFunctions/'
3 0.00 0.50
#================================================================================
# GNSS STATIC OFFSETS
# -------------------
# 1. number of GNSS sites, file name of the data
# Note: if the number of GNSS sites <= 0, then no GNSS data are available.
# the GNSS data file includes one header line and 8 culomns,
# Lat(deg) Lon(deg) East(m) North(m) Up(m) wf_E wf_N wf_Z
# where wf_E/N/Z are within-dataset relative weighting factor proportional to
# inverse error variance
# 2. weight of the whole GNSS dataset relative to the waveform dataset (suggested
# value 0.0-1.0)
#--------------------------------------------------------------------------------
21 './GPSData/GPS_Pisagua.dat'
1.0
#================================================================================
# InSAR LOS DISPLACEMENTS
# -----------------------
# 1. number of InSAR grids, file name of the data
# Note: if the number of InSAR grids <= 0, then no InSAR data are used.
# the InSAR data file includes one header line and 8 culomns,
# Lat(deg) Lon(deg) LOS(m) wf_los incidence(deg) azimuth(deg)
# where wf_los is the within-dataset relative weighting factor
# proportional to inverse error variance
# 2. weight of the whole InSAR dataset in the misfit variance relative to the
# waveform dataset (suggested value 0.0-1.0)
#--------------------------------------------------------------------------------
0 './InSAR/NoInSAR.dat'
0.00
#================================================================================
# Geodetic GREEN'S FUNCTION DATABASE
# ----------------------------------
# 1. geodetic Green's function database (folder name)
# 2. 3 file names of the geodetic Green's functions
#--------------------------------------------------------------------------------
'../GreenChileGD/DGreen/'
'uz' 'ur' 'ut'
#================================================================================
# FAULT PARAMETERS
# ----------------
# 1. ipatch: switch (0/1) for subfaults input form,
# 0 = read discrete patches from files,
# 1 = automatic discretization of a single rectangular fault
#--------------------------------------------------------------------------------
# idisc
#--------------------------------------------------------------------------------
1
#--------------------------------------------------------------------------------
# IF(idisc = 0)THEN
#
# subfault paramters
# ==================
# file_name: data file for discrete patches
# number of sub-faults
# iref selection of the patch reference location
#
# Note: the file includes one header line followed by 8 columns of data:
#
# latitude[deg], longitude[deg], depth[km], length[km], width[km],
# strike[deg], dip[deg], rake[deg]
#
# where (lat, lon, dep) is the reference location of the patch depending
# on iref: 1 = upper-left corner, 2 = upper-right corner,
# 3 = lower-left corner, 4 = lower-right corner,
# 5 = central point (s. Fig.)
#
# definitions for a rectangular fault patch
# =========================================
#
# north(x)
# /
# / | strike
# 1-----------------------2
# |\ p . \ W
# :-\ i . \ i
# | \ l . 5 \ d
# :90 \ S . \ t
# |-dip\ . \ h
# : \. ) rake \
# downward(z) 3-----------------------4
# L e n g t h
#--------------------------------------------------------------------------------
# file_name nsf iref
#--------------------------------------------------------------------------------
# './fault_patches.dat' 288 5
#--------------------------------------------------------------------------------
#
# ELSE IF(idisc = 1)THEN
#
# 2. focal mechanism: strike, dip and rake angles [deg]
#--------------------------------------------------------------------------------
346.0 13.00 84.00
#================================================================================
# IDS PARAMETERS
# --------------
# 1. maximum numbers of iterations.
# Note: if max. iteration = 0, forward modelling for any dummy data set is
# made using the given rupture model and the filter parameters
# if max. iteration < 0, same as iteration = 0, but without filtering.
#--------------------------------------------------------------------------------
100
#================================================================================
# OUTPUT
# ------
# 1. folder name for the output files (should exist already)
# 2. sub-folder name for comparisons of observed and modelled waveform data
# (should exist already)
# 3. sub-folder name for results from empirical baseline correction of
# waveform data (this folder should exist already)
# 4. file name of major earthquake parameters
# 5. file name of earthquake source-time-function (moment rate history)
# 6. file name of sub-fault source-time-function (moment rate history)
# 7. file name of rupture propagation
# 8. file name of final slip model
# Note: if forward modelling is selected (s. above), the above two files
# should provide data for the given kinematic rupture model and will
# be overwritten after the IDS inversion
# 9. file name of normalized residual waveform variance
#10. file name of predicted static offsets at seismic waveform data sites
#11. file name of comparison between observed and modelled GNSS data
#12. file name of comparison between observed and modelled InSAR data
#13. number of snapshots of the rupture process
#14. file name of the 1. snapshot for the slip released within the given
# time window (t1[s], t2[s])
#--------------------------------------------------------------------------------
'./Output'
'O2S'
'EBC'
'EQ_MP.dat'
'EQ_STF.dat'
'PT_STF.dat'
'Rup_Front.dat'
'SlipModel.dat'
'WFMisfitvar.dat'
'SMStaticOffset.dat'
'GNSSDatafit.dat'
'InSARDatafit.dat'
30
'Snapshot_010s.dat' 0.0 10.0
'Snapshot_015s.dat' 0.0 15.0
'Snapshot_020s.dat' 0.0 20.0
'Snapshot_025s.dat' 0.0 25.0
'Snapshot_030s.dat' 0.0 30.0
'Snapshot_035s.dat' 0.0 35.0
'Snapshot_040s.dat' 0.0 40.0
'Snapshot_045s.dat' 0.0 45.0
'Snapshot_050s.dat' 0.0 50.0
'Snapshot_055s.dat' 0.0 55.0
'Snapshot_060s.dat' 0.0 60.0
'Snapshot_065s.dat' 0.0 65.0
'Snapshot_070s.dat' 0.0 70.0
'Snapshot_075s.dat' 0.0 75.0
'Snapshot_080s.dat' 0.0 80.0
'SnapshotR_010s.dat' 5.0 10.0
'SnapshotR_015s.dat' 10.0 15.0
'SnapshotR_020s.dat' 15.0 20.0
'SnapshotR_025s.dat' 20.0 25.0
'SnapshotR_030s.dat' 25.0 30.0
'SnapshotR_035s.dat' 30.0 35.0
'SnapshotR_040s.dat' 35.0 40.0
'SnapshotR_045s.dat' 40.0 45.0
'SnapshotR_050s.dat' 45.0 50.0
'SnapshotR_055s.dat' 50.0 55.0
'SnapshotR_060s.dat' 55.0 60.0
'SnapshotR_065s.dat' 60.0 65.0
'SnapshotR_070s.dat' 65.0 70.0
'SnapshotR_075s.dat' 70.0 75.0
'SnapshotR_080s.dat' 75.0 80.0
#================================end of input====================================

9
src/Makefile.am
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@ -0,0 +1,9 @@
bin_PROGRAMS = ids2020
ids2020_SOURCES = banddpasss.f bscbilin.f bscmono.f butterworth.f d2dfit.f dc3d.f deepphase.f \
depthp.f depthphase.f disazi.f four1w.f idsalloc.f idsdifgrn.f idsforward.f \
idsgetinp.f idsgnsdat.f idsgnsgrn.f idsinverse.f idskernel.f idsmain.f \
idsmodel.f idsosmgrn.f idsoutput.f idspstt.f idssardat.f idssargrn.f \
idsscale.f idssmdat.f idssmgrn.f idssmwei.f moments.f rampfit.f skipdoc.f \
stepfit.f swavelet.f tpssub.f
clean-local:
-rm -f *.mod

44
src/banddpasss.f
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@ -0,0 +1,44 @@
subroutine bandpass(n,f1,f2,df,nf,h)
implicit none
integer*4 n,nf
real*8 f1,f2,df
complex*16 h(nf)
c
integer*4 l,k
real*8 w,w1,w2,delt,arg
c
real*8 PI
data PI/3.14159265358979d0/
c
if(n.le.0.or.f1.ge.f2)then
do l=1,nf
h(l)=(1.d0,0.d0)
enddo
else if(f1.le.0.d0)then
w2=2.d0*PI*f2
do l=1,nf
w=2.d0*PI*dble(l-1)*df
delt=w2-w1
h(l)=(1.d0,0.d0)
do k=1,n
arg=PI*dble(2*k-1)/dble(2*n)
h(l)=h(l)*dcmplx(0.d0,-delt)
& /dcmplx(w-delt*dcos(arg),-delt*dsin(arg))
enddo
enddo
else
w1=2.d0*PI*f1
w2=2.d0*PI*f2
do l=1,nf
w=2.d0*PI*dble(l-1)*df
delt=w*(w2-w1)
h(l)=(1.d0,0.d0)
do k=1,n
arg=PI*dble(2*k-1)/dble(2*n)
h(l)=h(l)*dcmplx(0.d0,-delt)
& /dcmplx(w*w-w1*w2-delt*dcos(arg),-delt*dsin(arg))
enddo
enddo
endif
return
end

127
src/bscbilin.f
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@ -0,0 +1,127 @@
subroutine bscbilin(n,ip,vel,bserr,dt,offset,sigma)
implicit none
c
integer*4 n,ip
real*8 dt,offset,sigma
real*8 vel(n),bserr(n)
c
integer i,j,k,i0,i1,i2,iw,ia,ib,id,ierr
real*8 a,b,a0,a1,delta,gamma,smin
c
integer*4 ndeg
real*8 PI
data ndeg,PI/1,3.14159265358979d0/
c
real*8, allocatable:: poly(:,:),bat(:),swap(:)
c
allocate (swap(n),stat=ierr)
if(ierr.ne.0)stop ' Error in bscmono: swap not allocated!'
allocate (poly(n,0:ndeg),stat=ierr)
if(ierr.ne.0)stop ' Error in bscmono: poly not allocated!'
allocate (bat(0:ndeg),stat=ierr)
if(ierr.ne.0)stop ' Error in bscmono: bat not allocated!'
c
c remove pre-event trend
c
call d2dfit(ip,vel,poly,bat,1,bserr)
a0=bserr(1)
a1=(bserr(ip)-bserr(1))/dble(ip-1)
c
do i=1,n
vel(i)=vel(i)-(a0+a1*dble(i-1))
enddo
c
c estimate signal duration
c
swap(1)=0.d0
do i=2,n
swap(i)=swap(i-1)+dabs(vel(i)-vel(i-1))
enddo
iw=2
do i=2,n-1
if(swap(i).le.0.85d0*swap(n))iw=i
enddo
c
c empirical bi-linear baseline correction
c
call d2dfit(1+n-iw,vel(iw),poly,bat,1,bserr(iw))
c
a=bserr(iw)
b=(bserr(n)-bserr(iw))/dble(n-iw)
do i=1,iw-1
bserr(i)=a+b*dble(i-iw)
enddo
c
swap(1)=0.d0
do i=2,iw-1
swap(i)=swap(i-1)+vel(i)
enddo
do i=iw,n
swap(i)=swap(i-1)+vel(i)-bserr(i)
enddo
call stepfit(n,swap,ip,iw,i0,delta,smin)
ia=iw-1
ib=iw
c
id=max0(1,(iw-ip)/50)
c
do k=ip,iw-id,id
do j=max0(k+id,(ip+iw)/2),iw,id
do i=1,ip-1
swap(i)=0.d0
enddo
do i=ip,k
swap(i)=swap(i-1)+vel(i)
enddo
do i=k+1,j-1
swap(i)=swap(i-1)+vel(i)-bserr(j)*dble(i-k)/dble(j-k)
enddo
do i=j,n
swap(i)=swap(i-1)+vel(i)-bserr(i)
enddo
c
call stepfit(n,swap,ip,iw,i0,delta,gamma)
c
if(gamma.le.smin)then
ia=k
ib=j
smin=gamma
endif
enddo
enddo
c
do i=1,ia
bserr(i)=0.d0
enddo
a=bserr(ib)
do i=ia+1,ib-1
bserr(i)=a*dble(i-ia)/dble(ib-ia)
enddo
c
do i=1,n
vel(i)=vel(i)-bserr(i)
enddo
c
swap(1)=0.d0
do i=2,n
swap(i)=swap(i-1)+vel(i)*dt
enddo
call rampfit(n,swap,ip,iw,i1,i2,offset,sigma,poly)
sigma=0.d0
do i=i2,iw+1
sigma=sigma+dabs(swap(i)-offset)
enddo
sigma=sigma/dble(1+iw-i2)
delta=0.d0
do i=ip,i2
delta=delta+bserr(i)*dt
enddo
sigma=dmax1(sigma,dabs(delta))
c
do i=1,n
bserr(i)=bserr(i)+a0+a1*dble(i-1)
enddo
c
deallocate(swap,poly,bat)
return
end

313
src/bscmono.f
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@ -0,0 +1,313 @@
subroutine bscmono(nw,ipp,vel,bse,dt,offset,sigma)
implicit none
c
integer*4 nw,ipp
real*8 dt,offset,sigma
real*8 vel(nw),bse(nw)
c
integer*4 i,j,i0,i1,i2,i3,i4,i5,i6,iw,ierr
integer*4 k,k1,k2,k3,k4,k5,k6,ks,id,ip,npeak,ipga
real*8 a0,a1,delta,smin,gamma,pga,pgv
real*8 d1,d2,d3,d4,d5,d6,d1opt,d2opt,d3opt,d4opt,d5opt
c
integer*4 ndeg
parameter(ndeg=2)
c
real*8 pi,sdw
data pi,sdw/3.14159265358979d+00,0.75d+00/
c
real*8, allocatable:: poly(:,:),bat(:),swp(:)
allocate (poly(nw,0:ndeg),stat=ierr)
if(ierr.ne.0)stop ' Error in bscmono: poly not allocated!'
allocate (bat(0:ndeg),stat=ierr)
if(ierr.ne.0)stop ' Error in bscmono: bat not allocated!'
allocate (swp(nw),stat=ierr)
if(ierr.ne.0)stop ' Error in bscmono: swp not allocated!'
c
c remove pre-event trend
c
ip=ipp
call d2dfit(ip,vel,poly,bat,1,bse)
c
a0=bse(1)
a1=(bse(ip)-bse(1))/dble(ip-1)
c
do i=1,nw
vel(i)=vel(i)-(a0+a1*dble(i-1))
enddo
c
c uncorrected acceleration
c
do i=2,nw
swp(i)=(vel(i)-vel(i-1))/dt
enddo
swp(1)=swp(2)
c
c estimate pga time
c
ipga=ip
pga=dabs(swp(ip))
do i=ip+1,nw
if(pga.lt.dabs(swp(i)))then
ipga=i
pga=dabs(swp(i))
endif
enddo
c
swp(1)=0.d0
do i=2,nw
swp(i)=swp(i-1)+swp(i)**2
enddo
c
c estimate energy signal window
c
iw=ip
do i=ip+1,nw
if(swp(i).ge.sdw*swp(nw))then
iw=i
goto 100
endif
enddo
100 continue
c
iw=min0((2*nw+ip)/3,max0(iw,2*ipga-ip))
c
c estimate earliest start time of baseline shift
c
swp(1)=0.d0
do i=2,nw
swp(i)=swp(i-1)+vel(i)*dt
enddo
c
i0=ip
do i=1+(2*ip+ipga)/3,ip+1,-1
if(swp(i)*swp(i-1).le.0.d0)then
i0=i
goto 200
endif
enddo
200 continue
ip=i0
c
c main smoothing procedure
c
i0=1+(2*nw+iw)/3
call d2dfit(2+nw-i0,swp(i0-1),poly,bat,2,bse(i0-1))
do i=i0,nw
swp(i)=(bse(i)-bse(i-1))/dt
enddo
d1=(swp(nw)-swp(i0))/dble(nw-i0)
c
do i=1,ip
bse(i)=0.d0
enddo
do i=ip+1,i0
bse(i)=vel(i)
enddo
do i=i0+1,nw
bse(i)=vel(i)*dcos(0.5d0*pi*dble(i-i0)/dble(nw-i0))**2
& +swp(i)*dsin(0.5d0*pi*dble(i-i0)/dble(nw-i0))**2
enddo
c
k=0
400 k=k+1
do i=ip,nw
swp(i)=bse(i)
enddo
do i=ip+1,nw-1
bse(i)=(swp(i-1)+swp(i)+swp(i+1))/3.d0
enddo
c
npeak=0
do i=iw+1,nw-1
if(bse(i).lt.bse(i-1)+d1.and.
& bse(i).lt.bse(i+1)-d1.or.
& bse(i).gt.bse(i-1)+d1.and.
& bse(i).gt.bse(i+1)-d1)npeak=npeak+1
enddo
if(npeak.gt.1)goto 400
c
gamma=0.d0
do i=iw,nw
gamma=dmax1(gamma,dabs(vel(i)-bse(i)))
enddo
c
pgv=gamma
do i=1,iw-1
pgv=dmax1(pgv,dabs(vel(i)-bse(i)))
enddo
c
i0=iw
npeak=0
do i=iw-1,ip+1,-1
gamma=dmax1(gamma,dabs(vel(i)-bse(i)))
if(bse(i).lt.bse(i-1)+d1.and.
& bse(i).lt.bse(i+1)-d1.or.
& bse(i).gt.bse(i-1)+d1.and.
& bse(i).gt.bse(i+1)-d1)npeak=npeak+1
if(npeak.gt.0.or.
& gamma.ge.0.25d0*pgv.and.dabs(bse(i)).le.0.5d0*pgv)then
goto 500
else
i0=i
endif
enddo
500 continue
if(npeak.gt.0)then
iw=(2*i0+iw)/3
else
iw=i0
endif
c
call d2dfit(1+nw-iw,bse(iw),poly,bat,1,swp(iw))
c
d1=swp(iw+1)-swp(iw)
d2=swp(iw)/dble(iw-ip)
if(d2*d1.ge.0.d0.and.dabs(d2).lt.dabs(d1))then
ip=(ip+iw-idint(swp(iw)/d1))/2
endif
c
do i=1,iw
bse(i)=0.d0
enddo
c
c estimate best-fit monotonic trend within signal window by grid search
c assuming that baseline shift increases faster than ~sqrt(t)
c
id=1+(iw-ip)/6
if(ip+6*id.ge.nw)id=id-1
i1=ip+id
i2=i1+id
i3=i2+id
i4=i3+id
i5=i4+id
i6=i5+id
smin=0.d0
c
k6=18
d6=bse(i6)
delta=d6/18.d0
c
do k5=0,16
d5=dble(k5)*delta
do k4=0,min0(15,k5)
d4=dble(k4)*delta
do k3=0,min0(13,k4)
d3=dble(k3)*delta
do k2=0,min0(10,k3)
d2=dble(k2)*delta
do k1=0,min0(7,k2)
d1=dble(k1)*delta
sigma=0.d0
do i=ip+1,i1
sigma=sigma+(vel(i)
& -d1*(dble(i-ip)/dble(id))**2)**2
enddo
do i=i1+1,i2
sigma=sigma+(vel(i)
& -(d1+(d2-d1)*dble(i-i1)/dble(id)))**2
enddo
do i=i2+1,i3
sigma=sigma+(vel(i)
& -(d2+(d3-d2)*dble(i-i2)/dble(id)))**2
enddo
do i=i3+1,i4
sigma=sigma+(vel(i)
& -(d3+(d4-d3)*dble(i-i3)/dble(id)))**2
enddo
do i=i4+1,i5
sigma=sigma+(vel(i)
& -(d4+(d5-d4)*dble(i-i4)/dble(id)))**2
enddo
do i=i5+1,i6
sigma=sigma+(vel(i)
& -(d5+(d6-d5)*dble(i-i5)/dble(id)))**2
enddo
if(smin.le.0.d0.or.sigma.le.smin)then
smin=sigma
d1opt=d1
d2opt=d2
d3opt=d3
d4opt=d4
d5opt=d5
endif
enddo
enddo
enddo
enddo
enddo
c
do i=1,ip
bse(i)=0.d0
enddo
do i=ip+1,i1
bse(i)=d1opt*(dble(i-ip)/dble(id))**2
enddo
do i=i1+1,i2
bse(i)=d1opt+(d2opt-d1opt)*dble(i-i1)/dble(id)
enddo
do i=i2+1,i3
bse(i)=d2opt+(d3opt-d2opt)*dble(i-i2)/dble(id)
enddo
do i=i3+1,i4
bse(i)=d3opt+(d4opt-d3opt)*dble(i-i3)/dble(id)
enddo
do i=i4+1,i5
bse(i)=d4opt+(d5opt-d4opt)*dble(i-i4)/dble(id)
enddo
do i=i5+1,i6-1
bse(i)=d5opt+(d6-d5opt)*dble(i-i5)/dble(id)
enddo
c
600 continue
c
c re-smoothing
c
d1=bse(i6)/dble(i6-ip)
ks=1+(i6-ip)/2
c
k=0
800 k=k+1
do i=ipp,min0(nw,i6+k)
swp(i)=bse(i)
enddo
do i=ipp+1,min0(nw,i6+k)-1
bse(i)=(swp(i-1)+swp(i)+swp(i+1))/3.d0
enddo
c
npeak=0
do i=ipp+1,i6-1
if(bse(i).lt.bse(i-1)+d1.and.
& bse(i).lt.bse(i+1)-d1.or.
& bse(i).gt.bse(i-1)+d1.and.
& bse(i).gt.bse(i+1)-d1)npeak=npeak+1
enddo
if(k.lt.ks.or.npeak.gt.1)goto 800
c
do i=1,nw
vel(i)=vel(i)-bse(i)
enddo
c
swp(1)=0.d0
do i=2,nw
swp(i)=swp(i-1)+vel(i)*dt
enddo
call rampfit(nw,swp,ipp,iw,i1,i2,offset,sigma,poly)
sigma=0.d0
do i=i2,iw+1
sigma=sigma+dabs(swp(i)-offset)
enddo
sigma=sigma/dble(1+iw-i2)
delta=0.d0
do i=ip,iw
delta=delta+bse(i)*dt
enddo
sigma=dmax1(sigma,dabs(delta))
c
do i=1,nw
bse(i)=bse(i)+a0+a1*dble(i-1)
enddo
c
deallocate(poly,bat,swp)
return
end

46
src/butterworth.f
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@ -0,0 +1,46 @@
subroutine butterworth(n,fc,df,nf,lpf)
c
c butterworth lowpass filter
c
c n: order
c fc: cutoff frequency
c df: frequency sampling interval
c nf: number of freqquency samples
c lpf: complex lowpass filter (return values)
c
implicit none
integer*4 n,nf
real*8 fc,df
complex*16 lpf(nf)
c
integer*4 l,k
complex*16 s,cs
c
real*8 PI
data PI/3.14159265358979d0/
c
if(n.le.0.or.fc.le.0.d0)then
do l=1,nf
lpf(l)=(1.d0,0.d0)
enddo
else if(n.eq.2*(n/2))then
do l=1,nf
s=dcmplx(0.d0,df*dble(l-1)/fc)
lpf(l)=(1.d0,0.d0)
do k=1,n/2
cs=dcmplx(2.d0*dcos(PI*dble(2*k+n-1)/dble(2*n)),0.d0)
lpf(l)=lpf(l)/(s*s-s*cs+(1.d0,0.d0))
enddo
enddo
else
do l=1,nf
s=dcmplx(0.d0,df*dble(l-1)/fc)
lpf(l)=(1.d0,0.d0)/(s+(1.d0,0.d0))
do k=1,(n-1)/2
cs=dcmplx(2.d0*dcos(PI*dble(2*k+n-1)/dble(2*n)),0.d0)
lpf(l)=lpf(l)/(s*s-s*cs+(1.d0,0.d0))
enddo
enddo
endif
return
end

38
src/d2dfit.f
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subroutine d2dfit(n,dis,p,b,ndeg,disfit)
implicit none
integer*4 n,ndeg
real*8 dis(n),disfit(n),p(n,0:ndeg),b(0:ndeg)
c
integer*4 i,ideg
real*8 x,dx
c
dx=2.d0/dble(n-1)
do i=1,n
x=-1.d0+dble(i-1)*dx
p(i,0)=1.d0
if(ndeg.gt.0)then
p(i,1)=x
do ideg=2,ndeg
p(i,ideg)=(dble(2*ideg-1)*x*p(i,ideg-1)
& -dble(ideg-1)*p(i,ideg-2))/dble(ideg)
enddo
endif
enddo
c
do ideg=0,ndeg
b(ideg)=0.5d0*(dis(1)*p(1,ideg)+dis(n)*p(n,ideg))
do i=2,n-1
b(ideg)=b(ideg)+dis(i)*p(i,ideg)
enddo
b(ideg)=b(ideg)*dx*0.5d0*dble(2*ideg+1)
enddo
c
do i=1,n
x=-1.+dble(i-1)*dx
disfit(i)=0.d0
do ideg=0,ndeg
disfit(i)=disfit(i)+b(ideg)*p(i,ideg)
enddo
enddo
return
end

665
src/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