diff --git a/.gitignore b/.gitignore index af72e5b1..de4e1b33 100644 --- a/.gitignore +++ b/.gitignore @@ -14,6 +14,8 @@ MISC/ # Examples/ +*(Copy)/ + __pycache__/ todo.md diff --git a/CMakeLists.txt b/CMakeLists.txt index 0ab796e8..957ffd85 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -3,8 +3,11 @@ # $ cmake --versionh cmake_minimum_required(VERSION 3.10) +include("Config.cmake") + # set the project name project(GraAda3D) +set (CMAKE_INSTALL_PREFIX ${CMAKE_SOURCE_DIR}) set(CMAKE_EXPORT_COMPILE_COMMANDS 1) @@ -13,8 +16,16 @@ find_package(OpenMP REQUIRED) message("${CMAKE_CXX_COMPILER_ID}") message("Compiler command: $ENV{CXX}") message("Openmp flag ${OpenMP_CXX_FLAGS}") -if (DEFINED ENV{USE_NETCDF}) - message("USE_NETCDF=$ENV{USE_NETCDF}; The netcdf library will be included.") +message("Installation location: ${CMAKE_INSTALL_PREFIX}/bin") +# if (DEFINED ENV{USE_NETCDF}) +# message("USE_NETCDF=$ENV{USE_NETCDF}; The netcdf library will be included.") +# endif() +if (${USE_NETCDF}) + message("USE_NETCDF=${USE_NETCDF}; The netcdf library will be included.") +endif() + +if (${USE_MKL}) + message("USE_MKL=${USE_MKL}; $ENV{MKLROOT}; MKL will be used.") endif() # specify the C++ standard @@ -49,7 +60,7 @@ target_include_directories(Forward_obj 3rd_party_lib/Linterp 3rd_party_lib/Timer #if netcdf library is used - $<$: + $<$: 3rd_party_lib/netcdf/netcdf-cxx4-4.3.1 3rd_party_lib/netcdf/netcdf-c-4.7.4 > @@ -58,7 +69,7 @@ target_include_directories(Forward_obj target_link_libraries(Forward_obj PUBLIC OpenMP::OpenMP_CXX - $<$:netcdf_c++4> + $<$:netcdf_c++4> gsl gslcblas ) @@ -71,7 +82,7 @@ target_compile_options(Forward_obj target_compile_definitions(Forward_obj PUBLIC $<$:USE_MKL> - $<$:USE_NETCDF> + $<$:USE_NETCDF> ) # inversion code add_library(Inversion_obj OBJECT @@ -101,7 +112,7 @@ target_include_directories(GraAda3D target_link_options(GraAda3D PRIVATE - $<$:-L$ENV{MKLROOT}/lib/intel64 -lmkl_intel_lp64 -lmkl_intel_thread -lmkl_core -liomp5 -lpthread -lm -ldl> + $<$:-L$ENV{MKLROOT}/lib/intel64 -lmkl_intel_lp64 -lmkl_intel_thread -lmkl_core -liomp5 -lpthread -lm -ldl> ) target_link_libraries(GraAda3D PRIVATE @@ -137,3 +148,6 @@ target_link_libraries(test_wavelet_forward2 Forward_obj Inversion_obj ) + +install(TARGETS GraAda3D Synthetic_data1 + ) diff --git a/Config.cmake b/Config.cmake new file mode 100644 index 00000000..33048422 --- /dev/null +++ b/Config.cmake @@ -0,0 +1,11 @@ +# Specify the c++ compiler. The default one is icpx (oneAPI). +#set(ENV{CXX} g++) +set(ENV{CXX} icpx) + +# Specify whether netcdf library will be used. The value should be TRUE or FALSE +set(USE_NETCDF TRUE) + +# Specify whether mkl library will be used. THe value should be TRUE or FALSE +set(USE_MKL TRUE) + +#set (CMAKE_INSTALL_PREFIX "prefix_path") diff --git a/Examples/Inv_with_ref/Inversion_Slices_interp.jpg b/Examples/Inv_with_ref/Inversion_Slices_interp.jpg index 3e295fb7..50490b24 100644 Binary files a/Examples/Inv_with_ref/Inversion_Slices_interp.jpg and b/Examples/Inv_with_ref/Inversion_Slices_interp.jpg differ diff --git a/Examples/Inv_with_ref/Inversion_Slices_ref.jpg b/Examples/Inv_with_ref/Inversion_Slices_ref.jpg index f1003a65..55c5a691 100644 Binary files a/Examples/Inv_with_ref/Inversion_Slices_ref.jpg and b/Examples/Inv_with_ref/Inversion_Slices_ref.jpg differ diff --git a/Examples/Inv_with_ref/Iteration_misfit_GN b/Examples/Inv_with_ref/Iteration_misfit_GN index d1a217f1..9ed7a6cd 100644 --- a/Examples/Inv_with_ref/Iteration_misfit_GN +++ b/Examples/Inv_with_ref/Iteration_misfit_GN @@ -1,5 +1,7 @@ Iteranation numbernumber of tried regulartion parameters misfit - 1 13 2.10951623091422e+02 - 2 14 1.38049713955007e+01 - 3 19 1.88364493695179e+00 - 4 22 9.96146687305019e-01 + 1 7 4.96770664856933e+01 + 2 25 2.57953806237836e+00 + 3 23 1.51965228386200e+00 + 4 25 1.08017199681304e+00 + 5 26 1.01538415689089e+00 + 6 24 9.78459168260070e-01 diff --git a/Examples/Inv_with_ref/config_inversion b/Examples/Inv_with_ref/config_inversion index 8bf9e64a..1c55dbe4 100644 --- a/Examples/Inv_with_ref/config_inversion +++ b/Examples/Inv_with_ref/config_inversion @@ -1,6 +1,14 @@ #configuration of inversion parameters. #Comments that start with a character # will not be read by the program +# How the sensitivity matrix is store, and how the conjugate gradient method is implemented +# 0: store a full sensitivity matrix, and use the lscg implementation of Eigen 3 library (not recommended) (lscg: least square conjugate gradient method) +# 1: store a full sensitivity matrix, and use my own implementation of the lscg method +# 2: use the wavelet transform to compress the sensitivity matrix, and use my own implementation of the lscg method +1 +# If the above option is 2 (using wavelet transform), the following relative threshold should be defined +# A larger threshold results in larger compression ratio, and larger approximation error as well +0.005 #Weights of different regularization terms, last term a_crg is the weight of cross-gradient constraint, which makes sense only #if the cross-gradient constraint is used @@ -11,13 +19,13 @@ #--"p": means Lp norm will be used #--"epsilon2" :a small value is used to avoid singularity #For L1-norm inversion (p=1), the inversion result is more focusing with smaller epsilon2, while larger value of epsilon2 produce smoother inversion results. -2 0 +2 2 2 2 2 1e-6 #Depth weighting exponent. Generally, it's 2 for g, 3 for ggt 2 #Maximal regularization parameter (lambda) used, number of lambda used for trial -1e4 30 0.5 +1e4 30 0.6 #Target misfit 1 @@ -27,7 +35,7 @@ 0.02 #Tolerance value and Maximal number of iterations for LSCG solver (least-square conjugate gradient) -1e-4 100 +1e-6 100 #Maximal number of iterations for gauss-newton 8 diff --git a/Examples/Inv_with_ref/dpredicted.vtk b/Examples/Inv_with_ref/dpredicted.vtk index 88a08c63..9901eeed 100644 --- a/Examples/Inv_with_ref/dpredicted.vtk +++ b/Examples/Inv_with_ref/dpredicted.vtk @@ -5055,3370 +5055,3370 @@ CELL_TYPES 1681 CELL_DATA 1681 SCALARS g_z double 1 LOOKUP_TABLE table0 -0.0229759 -0.0252227 -0.0274859 -0.0297809 -0.0323337 -0.0349235 -0.0373168 -0.0397034 -0.0420143 -0.0442093 -0.0461395 -0.0474584 -0.0479111 -0.0474979 -0.0462921 -0.0442273 -0.0411932 -0.0371701 -0.0322281 -0.0264834 -0.0201622 -0.0135047 -0.00676818 -0.000240434 --0.0058148 --0.011178 --0.0156869 --0.0192444 --0.0218157 --0.0235023 --0.0244552 --0.0247482 --0.0242805 --0.0232733 --0.0219513 --0.0202552 --0.018548 --0.0166869 --0.0145342 --0.0124903 --0.0106978 -0.0253736 -0.0280024 -0.0306867 -0.0334716 -0.036797 -0.0402448 -0.0433745 -0.0465567 -0.0496583 -0.0526428 -0.0553527 -0.0573221 -0.0582071 -0.0580105 -0.0568017 -0.0544227 -0.0507007 -0.0456486 -0.0393883 -0.0320389 -0.0238851 -0.015247 -0.00649029 --0.00196929 --0.00977168 --0.0166306 --0.0223332 --0.0267375 --0.0297613 --0.0315374 --0.0322841 --0.0321081 --0.0308305 --0.0289258 --0.0268554 --0.0244647 --0.0223604 --0.0201429 --0.0174231 --0.0148633 --0.0126536 -0.0278119 -0.0308418 -0.0339683 -0.0372689 -0.0412331 -0.0454509 -0.04948 -0.0537038 -0.0579476 -0.0620885 -0.0658915 -0.0688476 -0.0705598 -0.0709219 -0.0698642 -0.0671232 -0.0625098 -0.056111 -0.0481223 -0.0386767 -0.0280906 -0.0168023 -0.00536039 --0.00564045 --0.0157145 --0.0245032 --0.0317391 --0.0372179 --0.0408017 --0.042609 --0.0429052 --0.0419041 --0.0395713 --0.0365389 --0.0333831 --0.0299972 --0.02701 --0.024004 --0.0205814 --0.0174348 --0.0147628 -0.030341 -0.0338201 -0.0374381 -0.0413286 -0.0460508 -0.0512052 -0.0563506 -0.061905 -0.0676738 -0.0734203 -0.0787996 -0.083257 -0.0862995 -0.0876075 -0.0868602 -0.0836249 -0.0777105 -0.0694145 -0.0591118 -0.0469299 -0.0331729 -0.0184176 -0.00347374 --0.0108157 --0.0237921 --0.0350279 --0.0442059 --0.0510244 --0.055254 --0.0569742 --0.0565074 --0.0542537 --0.0504594 --0.0459196 --0.0412966 --0.0365768 --0.0323921 --0.0283422 --0.0240616 --0.0202363 --0.0170397 -0.033258 -0.0374623 -0.0416803 -0.0463091 -0.0522601 -0.0588672 -0.0654164 -0.0726515 -0.0805964 -0.088712 -0.0963234 -0.102963 -0.107999 -0.110742 -0.110474 -0.106559 -0.0987428 -0.0877308 -0.0740266 -0.0579659 -0.0399641 -0.0206258 -0.00118948 --0.0173082 --0.0338282 --0.0480094 --0.059622 --0.0680667 --0.0729982 --0.0744516 --0.0728384 --0.0688805 --0.0638543 --0.0580633 --0.0515706 --0.045113 --0.0391643 --0.0335698 --0.0282242 --0.0235829 --0.0196555 -0.0364297 -0.0414622 -0.0464138 -0.05195 -0.0593388 -0.0676547 -0.075923 -0.0852352 -0.0958612 -0.106981 -0.117578 -0.127206 -0.134982 -0.139714 -0.140189 -0.135533 -0.125462 -0.11103 -0.0928669 -0.0716907 -0.0481286 -0.0229117 --0.00225354 --0.0261762 --0.0473825 --0.0654696 --0.0801843 --0.0905594 --0.0961385 --0.0969923 --0.0937188 --0.0874295 --0.0804873 --0.0727742 --0.0638181 --0.0551309 --0.0470245 --0.0395796 --0.0329404 --0.0273162 --0.0225371 -0.0396558 -0.0454224 -0.0512477 -0.0578668 -0.0666299 -0.0766435 -0.0869773 -0.0988316 -0.112541 -0.12721 -0.141672 -0.155289 -0.166767 -0.174279 -0.175996 -0.170735 -0.158949 -0.141106 -0.117564 -0.0900284 -0.0584162 -0.0248901 --0.00762687 --0.0386409 --0.0663548 --0.0899449 --0.108739 --0.121409 --0.127401 --0.127053 --0.121371 --0.111829 --0.101211 --0.089817 --0.0775107 --0.0659781 --0.0554985 --0.0461171 --0.0379628 --0.0311864 --0.0255435 -0.0430102 -0.0495512 -0.0563885 -0.064295 -0.0746811 -0.0866972 -0.0994989 -0.114473 -0.132124 -0.15138 -0.17084 -0.189752 -0.20626 -0.217791 -0.22188 -0.216447 -0.202316 -0.17964 -0.148727 -0.112704 -0.071099 -0.0273634 --0.0146124 --0.0550286 --0.0916027 --0.122783 --0.147138 --0.162648 --0.168496 --0.165868 --0.156645 --0.142575 --0.126711 --0.110068 --0.0932489 --0.0780991 --0.0647748 --0.0531688 --0.0432942 --0.0352219 --0.0286364 -0.0459319 -0.0528857 -0.0608096 -0.0701816 -0.0826185 -0.0971125 -0.112741 -0.13143 -0.155215 -0.181496 -0.207299 -0.233014 -0.253889 -0.268873 -0.280582 -0.279378 -0.261422 -0.231375 -0.189575 -0.141379 -0.0877311 -0.0316599 --0.0233936 --0.0770449 --0.126215 --0.168356 --0.201076 --0.221028 --0.224504 --0.21671 --0.201553 --0.180451 --0.157047 --0.132906 --0.110212 --0.0905844 --0.0739773 --0.059939 --0.0481892 --0.0387446 --0.0313743 -0.0486342 -0.055996 -0.0650341 -0.0759345 -0.0905136 -0.107596 -0.126186 -0.148795 -0.179095 -0.213109 -0.246425 -0.280792 -0.308832 -0.329739 -0.349972 -0.353097 -0.331157 -0.293224 -0.239377 -0.177032 -0.10864 -0.0372229 --0.0337583 --0.103244 --0.167274 --0.222018 --0.263907 --0.288375 --0.289 --0.275183 --0.25298 --0.223551 --0.191115 --0.158042 --0.128377 --0.103484 --0.0831014 --0.066379 --0.0526542 --0.041816 --0.0336766 -0.051344 -0.0594627 -0.0695864 -0.0819441 -0.0983896 -0.117769 -0.139185 -0.165468 -0.200796 -0.241481 -0.283228 -0.328356 -0.376838 -0.416124 -0.438688 -0.439116 -0.412682 -0.36666 -0.299247 -0.220201 -0.134045 -0.043901 --0.0456146 --0.133025 --0.212447 --0.279462 --0.329837 --0.358229 --0.357893 --0.339688 --0.310294 --0.272125 --0.228408 --0.184355 --0.147133 --0.116494 --0.0919533 --0.0723603 --0.0566738 --0.0444994 --0.0354711 -0.0535662 -0.062398 -0.0734898 -0.0871414 -0.105228 -0.126632 -0.15056 -0.180137 -0.220264 -0.267931 -0.318946 -0.375271 -0.443438 -0.500161 -0.525371 -0.523976 -0.493173 -0.438884 -0.357983 -0.262442 -0.158926 -0.0503163 --0.0580067 --0.163832 --0.258396 --0.336632 --0.395209 --0.428147 --0.427242 --0.404212 --0.366162 --0.317899 --0.262765 --0.208208 --0.163772 --0.127559 --0.0990615 --0.0768676 --0.0594616 --0.046145 --0.0363522 -0.0556347 -0.0654245 -0.0773317 -0.0920359 -0.111236 -0.134075 -0.160066 -0.192514 -0.239417 -0.296422 -0.356501 -0.421971 -0.494113 -0.55334 -0.593297 -0.603802 -0.56391 -0.495655 -0.403372 -0.294883 -0.179278 -0.0579575 --0.0646465 --0.185437 --0.294603 --0.383264 --0.455172 --0.499279 --0.495126 --0.463382 --0.411128 --0.347607 --0.284044 --0.223147 --0.174122 --0.134507 --0.103464 --0.0798833 --0.0612664 --0.0471282 --0.0364825 -0.0572438 -0.0678387 -0.0803521 -0.0958327 -0.115799 -0.13965 -0.167175 -0.201728 -0.25418 -0.318925 -0.386306 -0.458823 -0.53234 -0.591611 -0.644511 -0.666462 -0.619291 -0.539467 -0.437273 -0.317441 -0.193223 -0.0641768 --0.0677812 --0.198828 --0.318417 --0.414111 --0.495827 --0.548823 --0.542632 --0.505072 --0.440814 --0.363484 --0.293477 --0.228968 --0.177858 --0.136775 --0.104464 --0.0803019 --0.0610708 --0.0465659 --0.0354108 -0.0581195 -0.0689819 -0.0818456 -0.0977907 -0.118341 -0.142937 -0.171386 -0.206901 -0.258651 -0.32372 -0.39574 -0.473768 -0.554747 -0.619613 -0.665401 -0.680267 -0.644389 -0.57433 -0.465106 -0.335194 -0.2061 -0.0749 --0.0605716 --0.195442 --0.318993 --0.417775 --0.490024 --0.532442 --0.535106 --0.507386 --0.444268 --0.365082 --0.293092 --0.229031 --0.177562 --0.135908 --0.102461 --0.0772211 --0.0579991 --0.0436904 --0.0327747 -0.0586958 -0.0696286 -0.082588 -0.0986092 -0.119183 -0.143861 -0.17253 -0.208096 -0.25741 -0.319471 -0.391153 -0.469747 -0.555053 -0.623588 -0.660074 -0.666578 -0.643514 -0.587602 -0.478715 -0.347145 -0.219573 -0.0916485 --0.0403652 --0.171572 --0.29187 --0.391841 --0.454562 --0.483509 --0.493546 --0.476529 --0.419438 --0.345244 --0.276766 --0.21706 --0.168383 --0.128733 --0.0960764 --0.0710665 --0.0527439 --0.039248 --0.0290107 -0.0587376 -0.069353 -0.0821448 -0.0978088 -0.117211 -0.140651 -0.168747 -0.203616 -0.250912 -0.308854 -0.374068 -0.445829 -0.522994 -0.585011 -0.6181 -0.622635 -0.598911 -0.546175 -0.454356 -0.341857 -0.226388 -0.109083 --0.0123662 --0.1325 --0.241713 --0.333002 --0.397604 --0.430082 --0.436881 --0.419293 --0.37018 --0.306903 --0.245726 --0.191715 --0.148124 --0.112608 --0.0839657 --0.0619932 --0.0456038 --0.0335349 --0.024314 -0.0583795 -0.0685304 -0.0809382 -0.095937 -0.113744 -0.135375 -0.162142 -0.195354 -0.239456 -0.291507 -0.347465 -0.408582 -0.473159 -0.525491 -0.55505 -0.55894 -0.535263 -0.487295 -0.416796 -0.329339 -0.232249 -0.131249 -0.0253964 --0.0788468 --0.17377 --0.251061 --0.314503 --0.35281 --0.357706 --0.340991 --0.302408 --0.253668 --0.2034 --0.157761 --0.121202 --0.0913935 --0.0681426 --0.0503343 --0.0366629 --0.0265501 --0.018701 -0.0577494 -0.067531 -0.0793974 -0.0935757 -0.110181 -0.130259 -0.155099 -0.185703 -0.225846 -0.271597 -0.318416 -0.368485 -0.422166 -0.466734 -0.492387 -0.497187 -0.479331 -0.441396 -0.386828 -0.318099 -0.238188 -0.153887 -0.068286 --0.0155985 --0.0943087 --0.159478 --0.213408 --0.247261 --0.254904 --0.24491 --0.219745 --0.187008 --0.150943 --0.117613 --0.0900785 --0.0675146 --0.0499862 --0.0365251 --0.0260664 --0.0183157 --0.0121989 -0.056563 -0.0658614 -0.0770506 -0.0902844 -0.105587 -0.123922 -0.146433 -0.173808 -0.209353 -0.248755 -0.287304 -0.327325 -0.370567 -0.407447 -0.429441 -0.436201 -0.426234 -0.400104 -0.361337 -0.310625 -0.248537 -0.182357 -0.117837 -0.0545583 --0.00771732 --0.0607548 --0.104938 --0.134578 --0.14676 --0.145423 --0.134273 --0.116991 --0.0948533 --0.0742294 --0.0562362 --0.0413683 --0.0299174 --0.0211298 --0.0142087 --0.0091119 --0.00498673 -0.0549514 -0.063736 -0.0741564 -0.0863582 -0.100154 -0.116525 -0.13657 -0.160531 -0.190673 -0.223483 -0.255162 -0.287335 -0.321511 -0.351407 -0.371093 -0.380711 -0.381388 -0.369596 -0.344033 -0.308865 -0.268567 -0.224472 -0.176892 -0.128843 -0.0805111 -0.037666 -0.00159371 --0.025204 --0.0426571 --0.0502111 --0.0508357 --0.046347 --0.0373623 --0.029161 --0.0207152 --0.0136614 --0.00835735 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1.950000000000000e+03 2.183390154168739e-02 +5.000000000000000e+01 1.950000000000000e+03 2.416759091045017e-02 +1.000000000000000e+02 1.950000000000000e+03 2.609068483029516e-02 +1.500000000000000e+02 1.950000000000000e+03 2.856751241719561e-02 +2.000000000000000e+02 1.950000000000000e+03 3.131983889845148e-02 +2.500000000000000e+02 1.950000000000000e+03 3.444126979673751e-02 +3.000000000000000e+02 1.950000000000000e+03 3.802923216498654e-02 +3.500000000000000e+02 1.950000000000000e+03 4.179357126707831e-02 +4.000000000000000e+02 1.950000000000000e+03 4.645438132060030e-02 +4.500000000000000e+02 1.950000000000000e+03 5.150113434906295e-02 +5.000000000000000e+02 1.950000000000000e+03 5.644623290762308e-02 +5.500000000000000e+02 1.950000000000000e+03 6.209632889217460e-02 +6.000000000000000e+02 1.950000000000000e+03 6.847218758530384e-02 +6.500000000000000e+02 1.950000000000000e+03 7.544949281226096e-02 +7.000000000000000e+02 1.950000000000000e+03 8.281710964576372e-02 +7.500000000000000e+02 1.950000000000000e+03 9.031787559289552e-02 +8.000000000000000e+02 1.950000000000000e+03 9.803909634844314e-02 +8.500000000000000e+02 1.950000000000000e+03 1.056165314596939e-01 +9.000000000000000e+02 1.950000000000000e+03 1.126547355983744e-01 +9.500000000000000e+02 1.950000000000000e+03 1.191569208453790e-01 +1.000000000000000e+03 1.950000000000000e+03 1.246485483533592e-01 +1.050000000000000e+03 1.950000000000000e+03 1.291069829050661e-01 +1.100000000000000e+03 1.950000000000000e+03 1.325104338154074e-01 +1.150000000000000e+03 1.950000000000000e+03 1.343289805907274e-01 +1.200000000000000e+03 1.950000000000000e+03 1.340001751561622e-01 +1.250000000000000e+03 1.950000000000000e+03 1.319285055045065e-01 +1.300000000000000e+03 1.950000000000000e+03 1.286621835852557e-01 +1.350000000000000e+03 1.950000000000000e+03 1.241176088560058e-01 +1.400000000000000e+03 1.950000000000000e+03 1.191540236378852e-01 +1.450000000000000e+03 1.950000000000000e+03 1.132536940005258e-01 +1.500000000000000e+03 1.950000000000000e+03 1.059022366598258e-01 +1.550000000000000e+03 1.950000000000000e+03 9.793186431659612e-02 +1.600000000000000e+03 1.950000000000000e+03 8.892196308807063e-02 +1.650000000000000e+03 1.950000000000000e+03 7.994147344267222e-02 +1.700000000000000e+03 1.950000000000000e+03 7.200098225784660e-02 +1.750000000000000e+03 1.950000000000000e+03 6.448725322542101e-02 +1.800000000000000e+03 1.950000000000000e+03 5.753880238626242e-02 +1.850000000000000e+03 1.950000000000000e+03 5.130111553902219e-02 +1.900000000000000e+03 1.950000000000000e+03 4.586982325608491e-02 +1.950000000000000e+03 1.950000000000000e+03 4.123181393573048e-02 +2.000000000000000e+03 1.950000000000000e+03 3.646878267066285e-02 +0.000000000000000e+00 2.000000000000000e+03 2.066782149277012e-02 +5.000000000000000e+01 2.000000000000000e+03 2.232070684311879e-02 +1.000000000000000e+02 2.000000000000000e+03 2.399398506687787e-02 +1.500000000000000e+02 2.000000000000000e+03 2.620327948491426e-02 +2.000000000000000e+02 2.000000000000000e+03 2.877028413085873e-02 +2.500000000000000e+02 2.000000000000000e+03 3.166107680040829e-02 +3.000000000000000e+02 2.000000000000000e+03 3.484492850767559e-02 +3.500000000000000e+02 2.000000000000000e+03 3.813859650414902e-02 +4.000000000000000e+02 2.000000000000000e+03 4.193407893152741e-02 +4.500000000000000e+02 2.000000000000000e+03 4.602361877737827e-02 +5.000000000000000e+02 2.000000000000000e+03 5.021533779238226e-02 +5.500000000000000e+02 2.000000000000000e+03 5.495840634508242e-02 +6.000000000000000e+02 2.000000000000000e+03 6.024434820731776e-02 +6.500000000000000e+02 2.000000000000000e+03 6.593513996114198e-02 +7.000000000000000e+02 2.000000000000000e+03 7.183090788581893e-02 +7.500000000000000e+02 2.000000000000000e+03 7.773064578260375e-02 +8.000000000000000e+02 2.000000000000000e+03 8.364636584001614e-02 +8.500000000000000e+02 2.000000000000000e+03 8.938069633867828e-02 +9.000000000000000e+02 2.000000000000000e+03 9.472123037646096e-02 +9.500000000000000e+02 2.000000000000000e+03 9.964312259381679e-02 +1.000000000000000e+03 2.000000000000000e+03 1.038538031267544e-01 +1.050000000000000e+03 2.000000000000000e+03 1.072789329193783e-01 +1.100000000000000e+03 2.000000000000000e+03 1.098395454259266e-01 +1.150000000000000e+03 2.000000000000000e+03 1.111972262737001e-01 +1.200000000000000e+03 2.000000000000000e+03 1.110198778743136e-01 +1.250000000000000e+03 2.000000000000000e+03 1.095121864636768e-01 +1.300000000000000e+03 2.000000000000000e+03 1.069834618447138e-01 +1.350000000000000e+03 2.000000000000000e+03 1.034381698978749e-01 +1.400000000000000e+03 2.000000000000000e+03 9.937648126957122e-02 +1.450000000000000e+03 2.000000000000000e+03 9.459348005261969e-02 +1.500000000000000e+03 2.000000000000000e+03 8.888612750725355e-02 +1.550000000000000e+03 2.000000000000000e+03 8.273800717019859e-02 +1.600000000000000e+03 2.000000000000000e+03 7.597773215714665e-02 +1.650000000000000e+03 2.000000000000000e+03 6.919127350905437e-02 +1.700000000000000e+03 2.000000000000000e+03 6.292932410557356e-02 +1.750000000000000e+03 2.000000000000000e+03 5.690799948702232e-02 +1.800000000000000e+03 2.000000000000000e+03 5.124999051025571e-02 +1.850000000000000e+03 2.000000000000000e+03 4.610362308745790e-02 +1.900000000000000e+03 2.000000000000000e+03 4.158179728440672e-02 +1.950000000000000e+03 2.000000000000000e+03 3.770075216141653e-02 +2.000000000000000e+03 2.000000000000000e+03 3.397585015178149e-02 diff --git a/Examples/Inv_with_ref/gz_result_with_ref.nc b/Examples/Inv_with_ref/gz_result_with_ref.nc index 8f9e2098..9fc78fdb 100644 Binary files a/Examples/Inv_with_ref/gz_result_with_ref.nc and b/Examples/Inv_with_ref/gz_result_with_ref.nc differ diff --git a/Examples/Inv_with_ref/gz_result_with_ref.txt b/Examples/Inv_with_ref/gz_result_with_ref.txt index 392487b0..392927cf 100644 --- a/Examples/Inv_with_ref/gz_result_with_ref.txt +++ b/Examples/Inv_with_ref/gz_result_with_ref.txt @@ -1,2504 +1,3939 @@ #The first 6 parameters give the dimensions of a cell. The 7-9 parameters are the cell center. The 10th parameter is the value within the cell. #x0(m) x1(m) #y0(m) y1(m) #z0(m) z1(m) xc(m) yc(m) zc(m) value -0.00000000000000e+00 2.00000000000000e+02 0.00000000000000e+00 2.00000000000000e+02 0.00000000000000e+00 2.00000000000000e+02 1.00000000000000e+02 1.00000000000000e+02 1.00000000000000e+02 -3.33709976966309e-02 -0.00000000000000e+00 2.00000000000000e+02 0.00000000000000e+00 2.00000000000000e+02 2.00000000000000e+02 4.00000000000000e+02 1.00000000000000e+02 1.00000000000000e+02 3.00000000000000e+02 9.03788305339124e+00 -0.00000000000000e+00 2.00000000000000e+02 0.00000000000000e+00 2.00000000000000e+02 4.00000000000000e+02 6.00000000000000e+02 1.00000000000000e+02 1.00000000000000e+02 5.00000000000000e+02 -5.62051085490595e+00 -0.00000000000000e+00 2.00000000000000e+02 0.00000000000000e+00 2.00000000000000e+02 6.00000000000000e+02 8.00000000000000e+02 1.00000000000000e+02 1.00000000000000e+02 7.00000000000000e+02 7.45143432250548e+00 -0.00000000000000e+00 2.00000000000000e+02 0.00000000000000e+00 2.00000000000000e+02 8.00000000000000e+02 1.00000000000000e+03 1.00000000000000e+02 1.00000000000000e+02 9.00000000000000e+02 4.12763954049107e+01 -0.00000000000000e+00 2.00000000000000e+02 2.00000000000000e+02 4.00000000000000e+02 0.00000000000000e+00 2.00000000000000e+02 1.00000000000000e+02 3.00000000000000e+02 1.00000000000000e+02 6.00350424960275e-01 -0.00000000000000e+00 2.00000000000000e+02 2.00000000000000e+02 4.00000000000000e+02 2.00000000000000e+02 4.00000000000000e+02 1.00000000000000e+02 3.00000000000000e+02 3.00000000000000e+02 9.33909351493782e-01 -0.00000000000000e+00 2.00000000000000e+02 2.00000000000000e+02 4.00000000000000e+02 4.00000000000000e+02 6.00000000000000e+02 1.00000000000000e+02 3.00000000000000e+02 5.00000000000000e+02 -3.24624573154673e+00 -0.00000000000000e+00 2.00000000000000e+02 2.00000000000000e+02 4.00000000000000e+02 6.00000000000000e+02 8.00000000000000e+02 1.00000000000000e+02 3.00000000000000e+02 7.00000000000000e+02 6.32383393226596e+00 -0.00000000000000e+00 2.00000000000000e+02 2.00000000000000e+02 4.00000000000000e+02 8.00000000000000e+02 1.00000000000000e+03 1.00000000000000e+02 3.00000000000000e+02 9.00000000000000e+02 2.54961121115613e+01 -0.00000000000000e+00 2.00000000000000e+02 4.00000000000000e+02 6.00000000000000e+02 0.00000000000000e+00 2.00000000000000e+02 1.00000000000000e+02 5.00000000000000e+02 1.00000000000000e+02 -6.61326401851369e-01 -0.00000000000000e+00 2.00000000000000e+02 4.00000000000000e+02 6.00000000000000e+02 2.00000000000000e+02 4.00000000000000e+02 1.00000000000000e+02 5.00000000000000e+02 3.00000000000000e+02 1.85692210136457e+01 -0.00000000000000e+00 2.00000000000000e+02 4.00000000000000e+02 6.00000000000000e+02 4.00000000000000e+02 6.00000000000000e+02 1.00000000000000e+02 5.00000000000000e+02 5.00000000000000e+02 8.15181233121554e+00 -0.00000000000000e+00 2.00000000000000e+02 4.00000000000000e+02 6.00000000000000e+02 6.00000000000000e+02 8.00000000000000e+02 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1.00000000000000e+03 1.90000000000000e+03 1.90000000000000e+03 9.00000000000000e+02 1.66180491049267e+01 diff --git a/Examples/Inv_with_ref/gz_result_with_ref.vtk b/Examples/Inv_with_ref/gz_result_with_ref.vtk index 4a467b6a..d96bd3bc 100644 --- a/Examples/Inv_with_ref/gz_result_with_ref.vtk +++ b/Examples/Inv_with_ref/gz_result_with_ref.vtk @@ -3,15 +3,20 @@ Gravity inversion using rectangular prisms ASCII DATASET UNSTRUCTURED_GRID -POINTS 3756 double +POINTS 5590 double 0 0 0 0 0 200 +0 0 300 0 0 400 0 0 600 0 0 800 0 0 1000 +0 100 200 +0 100 300 +0 100 400 0 200 0 0 200 200 +0 200 300 0 200 400 0 200 600 0 200 800 @@ -24,12 +29,17 @@ POINTS 3756 double 0 400 1000 0 600 0 0 600 200 +0 600 300 0 600 400 0 600 600 0 600 800 0 600 1000 +0 700 200 +0 700 300 +0 700 400 0 800 0 0 800 200 +0 800 300 0 800 400 0 800 600 0 800 800 @@ -48,42 +58,88 @@ POINTS 3756 double 0 1200 1000 0 1400 0 0 1400 200 +0 1400 300 0 1400 400 0 1400 600 0 1400 800 0 1400 1000 +0 1500 200 +0 1500 300 +0 1500 400 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400 450 -850 400 500 -850 450 200 -850 450 250 -850 450 300 -850 450 350 -850 450 400 -850 450 450 -850 450 500 -850 500 200 -850 500 250 -850 500 300 -850 500 350 -850 500 400 -850 500 450 -850 500 500 -850 550 300 -850 550 350 -850 550 400 -850 550 450 -850 550 500 -850 600 300 -850 600 350 -850 600 400 -850 600 450 -850 600 500 +850 100 300 +850 100 350 +850 100 400 +850 150 300 +850 150 350 +850 150 400 +850 200 200 +850 200 250 +850 200 300 +850 200 350 +850 200 400 +850 250 200 +850 250 250 +850 250 300 +850 300 200 +850 300 250 +850 300 300 +850 600 100 +850 600 150 +850 600 200 +850 650 100 +850 650 150 +850 650 200 850 700 100 850 700 150 850 700 200 -850 750 100 -850 750 150 -850 750 200 -850 800 100 -850 800 150 -850 800 200 -850 800 250 -850 800 300 -850 850 200 -850 850 250 -850 850 300 -850 900 200 -850 900 250 -850 900 300 +850 1100 200 +850 1100 250 +850 1100 300 +850 1100 350 +850 1100 400 +850 1150 200 +850 1150 250 +850 1150 300 +850 1150 350 +850 1150 400 +850 1200 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index 8b2bafef..c99c902b 100644 --- a/Examples/Inv_with_ref/gz_result_with_ref_points.vtk +++ b/Examples/Inv_with_ref/gz_result_with_ref_points.vtk @@ -3,9 +3,16 @@ Gravity inversion using rectangular prisms ASCII DATASET UNSTRUCTURED_GRID -POINTS 2502 double +POINTS 3937 double 100 100 100 -100 100 300 +50 50 250 +50 50 350 +50 150 250 +50 150 350 +150 50 250 +150 50 350 +150 150 250 +150 150 350 100 100 500 100 100 700 100 100 900 @@ -20,7 +27,14 @@ POINTS 2502 double 100 500 700 100 500 900 100 700 100 -100 700 300 +50 650 250 +50 650 350 +50 750 250 +50 750 350 +150 650 250 +150 650 350 +150 750 250 +150 750 350 100 700 500 100 700 700 100 700 900 @@ -40,7 +54,14 @@ POINTS 2502 double 100 1300 700 100 1300 900 100 1500 100 -100 1500 300 +50 1450 250 +50 1450 350 +50 1550 250 +50 1550 350 +150 1450 250 +150 1450 350 +150 1550 250 +150 1550 350 100 1500 500 100 1500 700 100 1500 900 @@ -50,20 +71,27 @@ POINTS 2502 double 100 1700 700 100 1700 900 100 1900 100 -100 1900 300 +50 1850 250 +50 1850 350 +50 1950 250 +50 1950 350 +150 1850 250 +150 1850 350 +150 1950 250 +150 1950 350 100 1900 500 100 1900 700 100 1900 900 300 100 100 -300 100 300 -250 50 450 -250 50 550 -250 150 450 -250 150 550 -350 50 450 -350 50 550 -350 150 450 -350 150 550 +250 50 250 +250 50 350 +250 150 250 +250 150 350 +350 50 250 +350 50 350 +350 150 250 +350 150 350 +300 100 500 300 100 700 300 100 900 300 300 100 @@ -77,7 +105,14 @@ POINTS 2502 double 300 500 700 300 500 900 300 700 100 -300 700 300 +250 650 250 +250 650 350 +250 750 250 +250 750 350 +350 650 250 +350 650 350 +350 750 250 +350 750 350 300 700 500 300 700 700 300 700 900 @@ -124,11 +159,25 @@ POINTS 2502 double 500 100 700 500 100 900 500 300 100 -500 300 300 +450 250 250 +450 250 350 +450 350 250 +450 350 350 +550 250 250 +550 250 350 +550 350 250 +550 350 350 500 300 500 500 300 700 500 300 900 -500 500 100 +450 450 50 +450 450 150 +450 550 50 +450 550 150 +550 450 50 +550 450 150 +550 550 50 +550 550 150 450 450 250 450 450 350 450 550 250 @@ -137,14 +186,7 @@ POINTS 2502 double 550 450 350 550 550 250 550 550 350 -450 450 450 -450 450 550 -450 550 450 -450 550 550 -550 450 450 -550 450 550 -550 550 450 -550 550 550 +500 500 500 500 500 700 500 500 900 450 650 50 @@ -152,42 +194,42 @@ POINTS 2502 double 450 750 50 450 750 150 550 650 50 -550 650 150 +525 625 125 +525 625 175 +525 675 125 +525 675 175 +575 625 125 +575 625 175 +575 675 125 +575 675 175 550 750 50 -550 750 150 +525 725 125 +525 725 175 +525 775 125 +525 775 175 +575 725 125 +575 725 175 +575 775 125 +575 775 175 450 650 250 450 650 350 450 750 250 450 750 350 -525 625 225 -525 625 275 -525 675 225 -525 675 275 -575 625 225 -575 625 275 -575 675 225 -575 675 275 +550 650 250 550 650 350 -525 725 225 -525 725 275 -525 775 225 -525 775 275 -575 725 225 -575 725 275 -575 775 225 -575 775 275 +550 750 250 550 750 350 -450 650 450 -450 650 550 -450 750 450 -450 750 550 -550 650 450 -550 650 550 -550 750 450 -550 750 550 +500 700 500 500 700 700 500 700 900 -500 900 100 +450 850 50 +450 850 150 +450 950 50 +450 950 150 +550 850 50 +550 850 150 +550 950 50 +550 950 150 450 850 250 450 850 350 450 950 250 @@ -196,26 +238,12 @@ POINTS 2502 double 550 850 350 550 950 250 550 950 350 -450 850 450 -450 850 550 -450 950 450 -450 950 550 -550 850 450 -550 850 550 -550 950 450 -550 950 550 +500 900 500 500 900 700 500 900 900 500 1100 100 500 1100 300 -450 1050 450 -450 1050 550 -450 1150 450 -450 1150 550 -550 1050 450 -550 1050 550 -550 1150 450 -550 1150 550 +500 1100 500 500 1100 700 500 1100 900 500 1300 100 @@ -224,14 +252,7 @@ POINTS 2502 double 500 1300 700 500 1300 900 500 1500 100 -450 1450 250 -450 1450 350 -450 1550 250 -450 1550 350 -550 1450 250 -550 1450 350 -550 1550 250 -550 1550 350 +500 1500 300 500 1500 500 500 1500 700 500 1500 900 @@ -246,11 +267,25 @@ POINTS 2502 double 500 1900 700 500 1900 900 700 100 100 -700 100 300 +650 50 250 +650 50 350 +650 150 250 +650 150 350 +750 50 250 +750 50 350 +750 150 250 +750 150 350 700 100 500 700 100 700 700 100 900 -700 300 100 +650 250 50 +650 250 150 +650 350 50 +650 350 150 +750 250 50 +750 250 150 +750 350 50 +750 350 150 650 250 250 650 250 350 650 350 250 @@ -265,7 +300,14 @@ POINTS 2502 double 650 450 50 650 450 150 650 550 50 -650 550 150 +625 525 125 +625 525 175 +625 575 125 +625 575 175 +675 525 125 +675 525 175 +675 575 125 +675 575 175 750 450 50 750 450 150 750 550 50 @@ -278,116 +320,81 @@ POINTS 2502 double 750 450 350 750 550 250 750 550 350 -650 450 450 -650 450 550 -650 550 450 -650 550 550 -750 450 450 -750 450 550 -750 550 450 -750 550 550 +700 500 500 700 500 700 700 500 900 650 650 50 -650 650 150 +625 625 125 +625 625 175 +625 675 125 +625 675 175 +675 625 125 +675 625 175 +675 675 125 +675 675 175 650 750 50 -650 750 150 +625 725 125 +625 725 175 +625 775 125 +625 775 175 +675 725 125 +675 725 175 +675 775 125 +675 775 175 750 650 50 -750 650 150 +725 625 125 +725 625 175 +725 675 125 +725 675 175 +775 625 125 +775 625 175 +775 675 125 +775 675 175 750 750 50 -750 750 150 -625 625 225 -625 625 275 -625 675 225 -625 675 275 -675 625 225 -675 625 275 -675 675 225 -675 675 275 +725 725 125 +725 725 175 +725 775 125 +725 775 175 +775 725 125 +775 725 175 +775 775 125 +775 775 175 +650 650 250 650 650 350 -625 725 225 -625 725 275 -625 775 225 -625 775 275 -675 725 225 -675 725 275 -675 775 225 -675 775 275 +650 750 250 650 750 350 750 650 250 750 650 350 -725 725 225 -725 725 275 -725 775 225 -725 775 275 -775 725 225 -775 725 275 -775 775 225 -775 775 275 +750 750 250 750 750 350 -650 650 450 -650 650 550 -650 750 450 -650 750 550 -750 650 450 -750 650 550 -750 750 450 -750 750 550 -650 650 650 -650 650 750 -650 750 650 -650 750 750 -750 650 650 -750 650 750 -750 750 650 -750 750 750 +700 700 500 +700 700 700 700 700 900 650 850 50 -650 850 150 +625 825 125 +625 825 175 +625 875 125 +625 875 175 +675 825 125 +675 825 175 +675 875 125 +675 875 175 650 950 50 650 950 150 750 850 50 750 850 150 750 950 50 750 950 150 -625 825 225 -625 825 275 -625 875 225 -625 875 275 -675 825 225 -675 825 275 -675 875 225 -675 875 275 +650 850 250 650 850 350 650 950 250 650 950 350 -725 825 225 -725 825 275 -725 875 225 -725 875 275 -775 825 225 -775 825 275 -775 875 225 -775 875 275 +750 850 250 750 850 350 750 950 250 750 950 350 -650 850 450 -650 850 550 -650 950 450 -650 950 550 -750 850 450 -750 850 550 -750 950 450 -750 950 550 -650 850 650 -650 850 750 -650 950 650 -650 950 750 -750 850 650 -750 850 750 -750 950 650 -750 950 750 +700 900 500 +700 900 700 700 900 900 700 1100 100 650 1050 250 @@ -398,25 +405,53 @@ POINTS 2502 double 750 1050 350 750 1150 250 750 1150 350 -650 1050 450 -650 1050 550 -650 1150 450 -650 1150 550 -750 1050 450 -750 1050 550 -750 1150 450 -750 1150 550 +700 1100 500 700 1100 700 700 1100 900 -700 1300 100 +650 1250 50 +650 1250 150 +650 1350 50 +650 1350 150 +750 1250 50 +750 1250 150 +750 1350 50 +750 1350 150 650 1250 250 650 1250 350 650 1350 250 650 1350 350 -750 1250 250 -750 1250 350 -750 1350 250 -750 1350 350 +725 1225 225 +725 1225 275 +725 1275 225 +725 1275 275 +775 1225 225 +775 1225 275 +775 1275 225 +775 1275 275 +725 1225 325 +725 1225 375 +725 1275 325 +725 1275 375 +775 1225 325 +775 1225 375 +775 1275 325 +775 1275 375 +725 1325 225 +725 1325 275 +725 1375 225 +725 1375 275 +775 1325 225 +775 1325 275 +775 1375 225 +775 1375 275 +725 1325 325 +725 1325 375 +725 1375 325 +725 1375 375 +775 1325 325 +775 1325 375 +775 1375 325 +775 1375 375 650 1250 450 650 1250 550 650 1350 450 @@ -427,15 +462,50 @@ POINTS 2502 double 750 1350 550 700 1300 700 700 1300 900 -700 1500 100 +650 1450 50 +650 1450 150 +650 1550 50 +650 1550 150 +750 1450 50 +750 1450 150 +750 1550 50 +750 1550 150 650 1450 250 650 1450 350 650 1550 250 650 1550 350 -750 1450 250 -750 1450 350 -750 1550 250 -750 1550 350 +725 1425 225 +725 1425 275 +725 1475 225 +725 1475 275 +775 1425 225 +775 1425 275 +775 1475 225 +775 1475 275 +725 1425 325 +725 1425 375 +725 1475 325 +725 1475 375 +775 1425 325 +775 1425 375 +775 1475 325 +775 1475 375 +725 1525 225 +725 1525 275 +725 1575 225 +725 1575 275 +775 1525 225 +775 1525 275 +775 1575 225 +775 1575 275 +725 1525 325 +725 1525 375 +725 1575 325 +725 1575 375 +775 1525 325 +775 1525 375 +775 1575 325 +775 1575 375 650 1450 450 650 1450 550 650 1550 450 @@ -447,7 +517,14 @@ POINTS 2502 double 700 1500 700 700 1500 900 700 1700 100 -700 1700 300 +650 1650 250 +650 1650 350 +650 1750 250 +650 1750 350 +750 1650 250 +750 1650 350 +750 1750 250 +750 1750 350 700 1700 500 700 1700 700 700 1700 900 @@ -456,16 +533,44 @@ POINTS 2502 double 700 1900 500 700 1900 700 700 1900 900 -900 100 100 +850 50 50 +850 50 150 +850 150 50 +850 150 150 +950 50 50 +950 50 150 +950 150 50 +950 150 150 850 50 250 850 50 350 850 150 250 -850 150 350 +825 125 325 +825 125 375 +825 175 325 +825 175 375 +875 125 325 +875 125 375 +875 175 325 +875 175 375 950 50 250 950 50 350 950 150 250 -950 150 350 -900 100 500 +925 125 325 +925 125 375 +925 175 325 +925 175 375 +975 125 325 +975 125 375 +975 175 325 +975 175 375 +850 50 450 +850 50 550 +850 150 450 +850 150 550 +950 50 450 +950 50 550 +950 150 450 +950 150 550 900 100 700 900 100 900 850 250 50 @@ -476,7 +581,14 @@ POINTS 2502 double 950 250 150 950 350 50 950 350 150 -850 250 250 +825 225 225 +825 225 275 +825 275 225 +825 275 275 +875 225 225 +875 225 275 +875 275 225 +875 275 275 850 250 350 850 350 250 850 350 350 @@ -488,16 +600,16 @@ POINTS 2502 double 975 225 275 975 275 225 975 275 275 -950 250 350 +925 225 325 +925 225 375 +925 275 325 +925 275 375 +975 225 325 +975 225 375 +975 275 325 +975 275 375 950 350 250 -925 325 325 -925 325 375 -925 375 325 -925 375 375 -975 325 325 -975 325 375 -975 375 325 -975 375 375 +950 350 350 850 250 450 850 250 550 850 350 450 @@ -516,31 +628,10 @@ POINTS 2502 double 950 450 150 950 550 50 950 550 150 -825 425 225 -825 425 275 -825 475 225 -825 475 275 -875 425 225 -875 425 275 -875 475 225 -875 475 275 -825 425 325 -825 425 375 -825 475 325 -825 475 375 -875 425 325 -875 425 375 -875 475 325 -875 475 375 +850 450 250 +850 450 350 850 550 250 -825 525 325 -825 525 375 -825 575 325 -825 575 375 -875 525 325 -875 525 375 -875 575 325 -875 575 375 +850 550 350 925 425 225 925 425 275 925 475 225 @@ -573,57 +664,36 @@ POINTS 2502 double 975 525 375 975 575 325 975 575 375 -825 425 425 -825 425 475 -825 475 425 -825 475 475 -875 425 425 -875 425 475 -875 475 425 -875 475 475 +850 450 450 850 450 550 -825 525 425 -825 525 475 -825 575 425 -825 575 475 -875 525 425 -875 525 475 -875 575 425 -875 575 475 +850 550 450 850 550 550 -925 425 425 -925 425 475 -925 475 425 -925 475 475 -975 425 425 -975 425 475 -975 475 425 -975 475 475 +950 450 450 950 450 550 -925 525 425 -925 525 475 -925 575 425 -925 575 475 -975 525 425 -975 525 475 -975 575 425 -975 575 475 +950 550 450 950 550 550 900 500 700 900 500 900 850 650 50 -850 650 150 +825 625 125 +825 625 175 +825 675 125 +825 675 175 +875 625 125 +875 625 175 +875 675 125 +875 675 175 850 750 50 -825 725 125 -825 725 175 -825 775 125 -825 775 175 -875 725 125 -875 725 175 -875 775 125 -875 775 175 +850 750 150 950 650 50 -950 650 150 +925 625 125 +925 625 175 +925 675 125 +925 675 175 +975 625 125 +975 625 175 +975 675 125 +975 675 175 950 750 50 925 725 125 925 725 175 @@ -637,7 +707,14 @@ POINTS 2502 double 850 650 350 850 750 250 850 750 350 -950 650 250 +925 625 225 +925 625 275 +925 675 225 +925 675 275 +975 625 225 +975 625 275 +975 675 225 +975 675 275 925 625 325 925 625 375 925 675 325 @@ -670,52 +747,45 @@ POINTS 2502 double 950 650 550 950 750 450 950 750 550 -850 650 650 -850 650 750 -850 750 650 -850 750 750 -950 650 650 -950 650 750 -950 750 650 -950 750 750 +900 700 700 900 700 900 850 850 50 850 850 150 850 950 50 850 950 150 950 850 50 -950 850 150 +925 825 125 +925 825 175 +925 875 125 +925 875 175 +975 825 125 +975 825 175 +975 875 125 +975 875 175 950 950 50 -950 950 150 -825 825 225 -825 825 275 -825 875 225 -825 875 275 -875 825 225 -875 825 275 -875 875 225 -875 875 275 +925 925 125 +925 925 175 +925 975 125 +925 975 175 +975 925 125 +975 925 175 +975 975 125 +975 975 175 +850 850 250 850 850 350 850 950 250 850 950 350 -925 825 225 -925 825 275 -925 875 225 -925 875 275 -975 825 225 -975 825 275 -975 875 225 -975 875 275 -925 825 325 -925 825 375 -925 875 325 -925 875 375 -975 825 325 -975 825 375 -975 875 325 -975 875 375 +950 850 250 +950 850 350 950 950 250 -950 950 350 +925 925 325 +925 925 375 +925 975 325 +925 975 375 +975 925 325 +975 925 375 +975 975 325 +975 975 375 850 850 450 850 850 550 850 950 450 @@ -724,24 +794,52 @@ POINTS 2502 double 950 850 550 950 950 450 950 950 550 -850 850 650 -850 850 750 -850 950 650 -850 950 750 -950 850 650 -950 850 750 -950 950 650 -950 950 750 +900 900 700 900 900 900 -900 1100 100 +850 1050 50 +850 1050 150 +850 1150 50 +850 1150 150 +950 1050 50 +950 1050 150 +950 1150 50 +950 1150 150 850 1050 250 850 1050 350 -850 1150 250 -850 1150 350 +825 1125 225 +825 1125 275 +825 1175 225 +825 1175 275 +875 1125 225 +875 1125 275 +875 1175 225 +875 1175 275 +825 1125 325 +825 1125 375 +825 1175 325 +825 1175 375 +875 1125 325 +875 1125 375 +875 1175 325 +875 1175 375 950 1050 250 950 1050 350 -950 1150 250 -950 1150 350 +925 1125 225 +925 1125 275 +925 1175 225 +925 1175 275 +975 1125 225 +975 1125 275 +975 1175 225 +975 1175 275 +925 1125 325 +925 1125 375 +925 1175 325 +925 1175 375 +975 1125 325 +975 1125 375 +975 1175 325 +975 1175 375 850 1050 450 850 1050 550 850 1150 450 @@ -750,29 +848,92 @@ POINTS 2502 double 950 1050 550 950 1150 450 950 1150 550 -850 1050 650 -850 1050 750 -850 1150 650 -850 1150 750 -950 1050 650 -950 1050 750 -950 1150 650 -950 1150 750 +900 1100 700 900 1100 900 850 1250 50 -850 1250 150 +825 1225 125 +825 1225 175 +825 1275 125 +825 1275 175 +875 1225 125 +875 1225 175 +875 1275 125 +875 1275 175 850 1350 50 -850 1350 150 +825 1325 125 +825 1325 175 +825 1375 125 +825 1375 175 +875 1325 125 +875 1325 175 +875 1375 125 +875 1375 175 950 1250 50 -950 1250 150 +925 1225 125 +925 1225 175 +925 1275 125 +925 1275 175 +975 1225 125 +975 1225 175 +975 1275 125 +975 1275 175 950 1350 50 -950 1350 150 -850 1250 250 -850 1250 350 -850 1350 250 -850 1350 350 -950 1250 250 -950 1250 350 +925 1325 125 +925 1325 175 +925 1375 125 +925 1375 175 +975 1325 125 +975 1325 175 +975 1375 125 +975 1375 175 +825 1225 225 +825 1225 275 +825 1275 225 +825 1275 275 +875 1225 225 +875 1225 275 +875 1275 225 +875 1275 275 +825 1225 325 +825 1225 375 +825 1275 325 +825 1275 375 +875 1225 325 +875 1225 375 +875 1275 325 +875 1275 375 +825 1325 225 +825 1325 275 +825 1375 225 +825 1375 275 +875 1325 225 +875 1325 275 +875 1375 225 +875 1375 275 +825 1325 325 +825 1325 375 +825 1375 325 +825 1375 375 +875 1325 325 +875 1325 375 +875 1375 325 +875 1375 375 +925 1225 225 +925 1225 275 +925 1275 225 +925 1275 275 +975 1225 225 +975 1225 275 +975 1275 225 +975 1275 275 +925 1225 325 +925 1225 375 +925 1275 325 +925 1275 375 +975 1225 325 +975 1225 375 +975 1275 325 +975 1275 375 925 1325 225 925 1325 275 925 1375 225 @@ -789,20 +950,48 @@ POINTS 2502 double 975 1325 375 975 1375 325 975 1375 375 -850 1250 450 -850 1250 550 +825 1225 425 +825 1225 475 +825 1275 425 +825 1275 475 +875 1225 425 +875 1225 475 +875 1275 425 +875 1275 475 +825 1225 525 +825 1225 575 +825 1275 525 +825 1275 575 +875 1225 525 +875 1225 575 +875 1275 525 +875 1275 575 850 1350 450 -850 1350 550 -950 1250 450 -950 1250 550 -925 1325 425 -925 1325 475 -925 1375 425 -925 1375 475 -975 1325 425 -975 1325 475 -975 1375 425 -975 1375 475 +825 1325 525 +825 1325 575 +825 1375 525 +825 1375 575 +875 1325 525 +875 1325 575 +875 1375 525 +875 1375 575 +925 1225 425 +925 1225 475 +925 1275 425 +925 1275 475 +975 1225 425 +975 1225 475 +975 1275 425 +975 1275 475 +925 1225 525 +925 1225 575 +925 1275 525 +925 1275 575 +975 1225 525 +975 1225 575 +975 1275 525 +975 1275 575 +950 1350 450 950 1350 550 850 1250 650 850 1250 750 @@ -814,17 +1003,66 @@ POINTS 2502 double 950 1350 750 900 1300 900 850 1450 50 -850 1450 150 +825 1425 125 +825 1425 175 +825 1475 125 +825 1475 175 +875 1425 125 +875 1425 175 +875 1475 125 +875 1475 175 850 1550 50 -850 1550 150 +825 1525 125 +825 1525 175 +825 1575 125 +825 1575 175 +875 1525 125 +875 1525 175 +875 1575 125 +875 1575 175 950 1450 50 950 1450 150 950 1550 50 -950 1550 150 -850 1450 250 -850 1450 350 -850 1550 250 -850 1550 350 +925 1525 125 +925 1525 175 +925 1575 125 +925 1575 175 +975 1525 125 +975 1525 175 +975 1575 125 +975 1575 175 +825 1425 225 +825 1425 275 +825 1475 225 +825 1475 275 +875 1425 225 +875 1425 275 +875 1475 225 +875 1475 275 +825 1425 325 +825 1425 375 +825 1475 325 +825 1475 375 +875 1425 325 +875 1425 375 +875 1475 325 +875 1475 375 +825 1525 225 +825 1525 275 +825 1575 225 +825 1575 275 +875 1525 225 +875 1525 275 +875 1575 225 +875 1575 275 +825 1525 325 +825 1525 375 +825 1575 325 +825 1575 375 +875 1525 325 +875 1525 375 +875 1575 325 +875 1575 375 925 1425 225 925 1425 275 925 1475 225 @@ -841,7 +1079,14 @@ POINTS 2502 double 975 1425 375 975 1475 325 975 1475 375 -950 1550 250 +925 1525 225 +925 1525 275 +925 1575 225 +925 1575 275 +975 1525 225 +975 1525 275 +975 1575 225 +975 1575 275 925 1525 325 925 1525 375 925 1575 325 @@ -858,32 +1103,109 @@ POINTS 2502 double 875 1425 475 875 1475 425 875 1475 475 -850 1450 550 -850 1550 450 -850 1550 550 -925 1425 425 -925 1425 475 -925 1475 425 -925 1475 475 -975 1425 425 -975 1425 475 -975 1475 425 -975 1475 475 +825 1425 525 +825 1425 575 +825 1475 525 +825 1475 575 +875 1425 525 +875 1425 575 +875 1475 525 +875 1475 575 +825 1525 425 +825 1525 475 +825 1575 425 +825 1575 475 +875 1525 425 +875 1525 475 +875 1575 425 +875 1575 475 +825 1525 525 +825 1525 575 +825 1575 525 +825 1575 575 +875 1525 525 +875 1525 575 +875 1575 525 +875 1575 575 +950 1450 450 950 1450 550 -950 1550 450 -950 1550 550 -900 1500 700 +925 1525 425 +925 1525 475 +925 1575 425 +925 1575 475 +975 1525 425 +975 1525 475 +975 1575 425 +975 1575 475 +925 1525 525 +925 1525 575 +925 1575 525 +925 1575 575 +975 1525 525 +975 1525 575 +975 1575 525 +975 1575 575 +850 1450 650 +850 1450 750 +850 1550 650 +850 1550 750 +950 1450 650 +950 1450 750 +950 1550 650 +950 1550 750 900 1500 900 -900 1700 100 -850 1650 250 -850 1650 350 +850 1650 50 +850 1650 150 +850 1750 50 +850 1750 150 +950 1650 50 +950 1650 150 +950 1750 50 +950 1750 150 +825 1625 225 +825 1625 275 +825 1675 225 +825 1675 275 +875 1625 225 +875 1625 275 +875 1675 225 +875 1675 275 +825 1625 325 +825 1625 375 +825 1675 325 +825 1675 375 +875 1625 325 +875 1625 375 +875 1675 325 +875 1675 375 850 1750 250 850 1750 350 -950 1650 250 -950 1650 350 +925 1625 225 +925 1625 275 +925 1675 225 +925 1675 275 +975 1625 225 +975 1625 275 +975 1675 225 +975 1675 275 +925 1625 325 +925 1625 375 +925 1675 325 +925 1675 375 +975 1625 325 +975 1625 375 +975 1675 325 +975 1675 375 950 1750 250 950 1750 350 -900 1700 500 +850 1650 450 +850 1650 550 +850 1750 450 +850 1750 550 +950 1650 450 +950 1650 550 +950 1750 450 +950 1750 550 900 1700 700 900 1700 900 900 1900 100 @@ -891,12 +1213,117 @@ POINTS 2502 double 900 1900 500 900 1900 700 900 1900 900 -1100 100 100 -1100 100 300 -1100 100 500 +1050 50 50 +1025 25 125 +1025 25 175 +1025 75 125 +1025 75 175 +1075 25 125 +1075 25 175 +1075 75 125 +1075 75 175 +1050 150 50 +1025 125 125 +1025 125 175 +1025 175 125 +1025 175 175 +1075 125 125 +1075 125 175 +1075 175 125 +1075 175 175 +1150 50 50 +1150 50 150 +1150 150 50 +1125 125 125 +1125 125 175 +1125 175 125 +1125 175 175 +1175 125 125 +1175 125 175 +1175 175 125 +1175 175 175 +1025 25 225 +1025 25 275 +1025 75 225 +1025 75 275 +1075 25 225 +1075 25 275 +1075 75 225 +1075 75 275 +1025 25 325 +1025 25 375 +1025 75 325 +1025 75 375 +1075 25 325 +1075 25 375 +1075 75 325 +1075 75 375 +1025 125 225 +1025 125 275 +1025 175 225 +1025 175 275 +1075 125 225 +1075 125 275 +1075 175 225 +1075 175 275 +1025 125 325 +1025 125 375 +1025 175 325 +1025 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475 -1150 1250 550 +1125 1225 525 +1125 1225 575 +1125 1275 525 +1125 1275 575 +1175 1225 525 +1175 1225 575 +1175 1275 525 +1175 1275 575 1125 1325 425 1125 1325 475 1125 1375 425 @@ -1232,19 +1799,61 @@ POINTS 2502 double 1175 1325 575 1175 1375 525 1175 1375 575 -1050 1250 650 +1025 1225 625 +1025 1225 675 +1025 1275 625 +1025 1275 675 +1075 1225 625 +1075 1225 675 +1075 1275 625 +1075 1275 675 1050 1250 750 -1050 1350 650 +1025 1325 625 +1025 1325 675 +1025 1375 625 +1025 1375 675 +1075 1325 625 +1075 1325 675 +1075 1375 625 +1075 1375 675 1050 1350 750 -1150 1250 650 +1125 1225 625 +1125 1225 675 +1125 1275 625 +1125 1275 675 +1175 1225 625 +1175 1225 675 +1175 1275 625 +1175 1275 675 1150 1250 750 -1150 1350 650 +1125 1325 625 +1125 1325 675 +1125 1375 625 +1125 1375 675 +1175 1325 625 +1175 1325 675 +1175 1375 625 +1175 1375 675 1150 1350 750 1100 1300 900 1050 1450 50 -1050 1450 150 +1025 1425 125 +1025 1425 175 +1025 1475 125 +1025 1475 175 +1075 1425 125 +1075 1425 175 +1075 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250 50 +1350 250 150 +1350 350 50 +1350 350 150 1250 250 250 1250 250 350 1250 350 250 @@ -1418,19 +2265,26 @@ POINTS 2502 double 1350 250 550 1350 350 450 1350 350 550 -1250 250 650 -1250 250 750 -1250 350 650 -1250 350 750 -1350 250 650 -1350 250 750 -1350 350 650 -1350 350 750 +1300 300 700 1300 300 900 1250 450 50 -1250 450 150 +1225 425 125 +1225 425 175 +1225 475 125 +1225 475 175 +1275 425 125 +1275 425 175 +1275 475 125 +1275 475 175 1250 550 50 -1250 550 150 +1225 525 125 +1225 525 175 +1225 575 125 +1225 575 175 +1275 525 125 +1275 525 175 +1275 575 125 +1275 575 175 1350 450 50 1350 450 150 1350 550 50 @@ -1462,14 +2316,7 @@ POINTS 2502 double 1275 625 175 1275 675 125 1275 675 175 -1225 725 25 -1225 725 75 -1225 775 25 -1225 775 75 -1275 725 25 -1275 725 75 -1275 775 25 -1275 775 75 +1250 750 50 1225 725 125 1225 725 175 1225 775 125 @@ -1489,14 +2336,7 @@ POINTS 2502 double 1375 725 175 1375 775 125 1375 775 175 -1225 625 225 -1225 625 275 -1225 675 225 -1225 675 275 -1275 625 225 -1275 625 275 -1275 675 225 -1275 675 275 +1250 650 250 1225 625 325 1225 625 375 1225 675 325 @@ -1505,12 +2345,40 @@ POINTS 2502 double 1275 625 375 1275 675 325 1275 675 375 -1250 750 250 -1250 750 350 +1225 725 225 +1225 725 275 +1225 775 225 +1225 775 275 +1275 725 225 +1275 725 275 +1275 775 225 +1275 775 275 +1225 725 325 +1225 725 375 +1225 775 325 +1225 775 375 +1275 725 325 +1275 725 375 +1275 775 325 +1275 775 375 1350 650 250 -1350 650 350 +1325 625 325 +1325 625 375 +1325 675 325 +1325 675 375 +1375 625 325 +1375 625 375 +1375 675 325 +1375 675 375 1350 750 250 -1350 750 350 +1325 725 325 +1325 725 375 +1325 775 325 +1325 775 375 +1375 725 325 +1375 725 375 +1375 775 325 +1375 775 375 1250 650 450 1250 650 550 1250 750 450 @@ -1545,25 +2413,11 @@ POINTS 2502 double 1350 950 150 1250 850 250 1250 850 350 -1225 925 225 -1225 925 275 -1225 975 225 -1225 975 275 -1275 925 225 -1275 925 275 -1275 975 225 -1275 975 275 +1250 950 250 1250 950 350 1350 850 250 1350 850 350 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LOOKUP_TABLE table1 50 50 50 +50 +50 +50 +50 +50 +50 +50 450 450 450 @@ -18788,6 +30290,55 @@ LOOKUP_TABLE table1 50 50 50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 450 450 450 @@ -18829,6 +30380,13 @@ LOOKUP_TABLE table1 450 450 450 +450 +450 +450 +450 +450 +450 +450 50 50 50 @@ -18870,6 +30428,13 @@ LOOKUP_TABLE table1 50 50 50 +50 +50 +50 +50 +50 +50 +50 450 450 450 @@ -19143,22 +30708,6 @@ LOOKUP_TABLE table1 50 50 50 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 50 50 50 @@ -19168,22 +30717,6 @@ LOOKUP_TABLE table1 50 50 50 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 50 50 50 @@ -19193,14 +30726,6 @@ LOOKUP_TABLE table1 50 50 50 -450 -450 -450 -450 -450 -450 -450 -450 50 50 50 @@ -19218,14 +30743,6 @@ LOOKUP_TABLE table1 50 50 50 -450 -450 -450 -450 -450 -450 -450 -450 50 50 50 @@ -19251,15 +30768,6 @@ LOOKUP_TABLE table1 50 50 50 -450 -450 -450 -450 -450 -450 -450 -450 -450 50 50 50 @@ -19276,22 +30784,6 @@ LOOKUP_TABLE table1 50 50 50 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 50 50 50 @@ -19308,14 +30800,6 @@ LOOKUP_TABLE table1 50 50 50 -450 -450 -450 -450 -450 -450 -450 -450 50 50 50 @@ -19333,14 +30817,6 @@ LOOKUP_TABLE table1 50 50 50 -450 -450 -450 -450 -450 -450 -450 -450 50 50 50 @@ -19400,6 +30876,37 @@ LOOKUP_TABLE table1 50 50 50 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 +50 50 50 50 @@ -19433,6 +30940,7 @@ LOOKUP_TABLE table1 50 50 50 +450 50 50 50 @@ -19483,6 +30991,22 @@ LOOKUP_TABLE table1 50 50 50 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 +450 50 50 50 @@ -19531,6 +31055,10 @@ LOOKUP_TABLE table1 50 50 50 +450 +50 +50 +50 50 50 50 @@ -19606,22 +31134,6 @@ LOOKUP_TABLE table1 50 50 50 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 50 50 50 @@ -19635,14 +31147,6 @@ LOOKUP_TABLE table1 50 50 50 -450 -450 -450 -450 -450 -450 -450 -450 50 50 50 @@ -19665,22 +31169,6 @@ LOOKUP_TABLE table1 50 50 50 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 -450 50 50 50 @@ -19722,14 +31210,6 @@ LOOKUP_TABLE table1 50 50 50 -450 -450 -450 -450 -450 -450 -450 -450 50 50 50 @@ -22542,4 +34022,1439 @@ LOOKUP_TABLE table2 0 0 0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 +0 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-11,5 +11,5 @@ Total number of elements in the initial mesh 500 Element number 1 3. Evaluation of the inversion -Final misfit 0.996147 -Running time 33.6575 seconds +Final misfit 0.978459 +Running time 63.6278 seconds diff --git a/Examples/Inv_with_ref/lambda_misfit_GN b/Examples/Inv_with_ref/lambda_misfit_GN index b5228be5..c7cb0f82 100644 --- a/Examples/Inv_with_ref/lambda_misfit_GN +++ b/Examples/Inv_with_ref/lambda_misfit_GN @@ -1,69 +1,131 @@ lambda misfit - 1.00000000000000e+04 4.97328048389278e+03 - 5.00000000000000e+03 2.99666960285213e+03 - 2.50000000000000e+03 1.78907651111598e+03 - 1.25000000000000e+03 1.05760654428024e+03 - 6.25000000000000e+02 6.39130961309244e+02 - 3.12500000000000e+02 4.16148274607423e+02 - 1.56250000000000e+02 2.80903325343817e+02 - 7.81250000000000e+01 2.27686295279804e+02 - 3.90625000000000e+01 2.15745750424807e+02 - 1.95312500000000e+01 2.15644344393927e+02 - 9.76562500000000e+00 2.10951623091422e+02 - 4.88281250000000e+00 2.37579467945220e+02 - 2.44140625000000e+00 2.50726446789050e+02 - 1.00000000000000e+04 5.03363643256971e+03 - 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3.65615844006297e-01 1.21615851868518e+00 + 2.19369506403778e-01 1.08716349927788e+00 + 1.31621703842267e-01 1.01143446641163e+00 + 7.89730223053602e-02 9.78459168260070e-01 diff --git a/Examples/Inv_with_ref/plotCrossSections.py b/Examples/Inv_with_ref/plotCrossSections.py index 835a4193..d157a127 100644 --- a/Examples/Inv_with_ref/plotCrossSections.py +++ b/Examples/Inv_with_ref/plotCrossSections.py @@ -53,8 +53,8 @@ def get_slice_index(xs_pixel,x0): #fig,(ax1,ax2)=plt.subplots(1,2,figsize=(12,6)) print(np.max(density)) print(np.min(density)) -min_value_shown=-500 -max_value_shown=500 +min_value_shown=-300 +max_value_shown=300 fts=12 clrmap='jet' ax1=fig.add_subplot(gs00[0]) diff --git a/Examples/Inv_with_ref/plotInterpData_with_ref.py b/Examples/Inv_with_ref/plotInterpData_with_ref.py index 6529527b..5969e989 100644 --- a/Examples/Inv_with_ref/plotInterpData_with_ref.py +++ b/Examples/Inv_with_ref/plotInterpData_with_ref.py @@ -17,8 +17,8 @@ gs00 = gridspec.GridSpecFromSubplotSpec(2, 1, subplot_spec=gs0[0],hspace=0.4) -min_value_shown=-500 -max_value_shown=500 +min_value_shown=-300 +max_value_shown=300 fts=12 clrmap='jet' diff --git a/Examples/Inv_with_ref/ref_model.nc b/Examples/Inv_with_ref/ref_model.nc index 172a0d02..0d0b3203 100644 Binary files a/Examples/Inv_with_ref/ref_model.nc and b/Examples/Inv_with_ref/ref_model.nc differ diff --git a/GraAda3D b/GraAda3D new file mode 100755 index 00000000..8ce8af00 Binary files /dev/null and b/GraAda3D differ diff --git a/Graplot.yml b/Graplot.yml index cead09b6..cbf314f3 100644 --- a/Graplot.yml +++ b/Graplot.yml @@ -3,10 +3,10 @@ channels: - conda-forge - defaults dependencies: - - python=3.9 - - numpy=1.21.4 - - scipy=1.7.2 - - matplotlib=3.4.3 - - plotly=5.4.0 + - python #=3.9 + - numpy #=1.21.4 + - scipy #=1.7.2 + - matplotlib #=3.4.3 + - plotly #=5.4.0 - netcdf4 -prefix: /home/yyzhong/anaconda3/envs/Graplot +#prefix: /home/yyzhong/anaconda3/envs/Graplot diff --git a/Padding_test b/Padding_test new file mode 100755 index 00000000..242978db Binary files /dev/null and b/Padding_test differ diff --git a/Synthetic_data1 b/Synthetic_data1 new file mode 100755 index 00000000..9c395016 Binary files /dev/null and b/Synthetic_data1 differ diff --git a/bin/GraAda3D b/bin/GraAda3D new file mode 100755 index 00000000..57470ce5 Binary files /dev/null and b/bin/GraAda3D differ diff --git a/bin/Synthetic_data1 b/bin/Synthetic_data1 new file mode 100755 index 00000000..6709b63c Binary files /dev/null and b/bin/Synthetic_data1 differ diff --git a/makefile b/makefile index f07bf278..e1076ec9 100644 --- a/makefile +++ b/makefile @@ -1,4 +1,4 @@ -CXX:= g++ +CXX:= icpx CXX:=$(strip $(CXX)) ifeq ($(CXX),g++) CXXFLAGS:=-std=c++11 -O3 -fopenmp -Wfatal-errors #-g @@ -7,7 +7,7 @@ ifeq ($(CXX),icpc) CXXFLAGS:=-std=c++11 -O3 -qopenmp -Wfatal-errors -mkl=parallel endif ifeq ($(CXX),icpx) -CXXFLAGS:=-std=c++11 -O3 -qopenmp -Wfatal-errors -I"${MKLROOT}/include" -mkl=parallel -D USE_MKL +CXXFLAGS:=-std=c++11 -O3 -qopenmp -Wfatal-errors -I"${MKLROOT}/include" -qmkl=parallel -D USE_MKL endif ifeq ($(CXX),dpcpp) CXXFLAGS:=-std=c++11 -O3 -qopenmp -Wfatal-errors -I"${MKLROOT}/include" -mkl=parallel -D USE_MKL @@ -30,6 +30,8 @@ ifeq ($(CXX),dpcpp) LINKFLAGS+= -L${MKLROOT}/lib/intel64 -lmkl_intel_lp64 -lmkl_intel_thread -lmkl_core -liomp5 -lpthread -lm -ldl endif +LINKFLAGS+= -lgsl -lgslcblas -lm + #libraries #DIR_EIGEN :=./3rd_party_lib/Eigen3.3.7 DIR_EIGEN :=./3rd_party_lib/eigen diff --git a/src/GraAda3D.cpp b/src/GraAda3D.cpp index 979b0874..63bba354 100755 --- a/src/GraAda3D.cpp +++ b/src/GraAda3D.cpp @@ -44,7 +44,7 @@ class GraAdaInv string data_file; string config_file; - double Lp_inversion_p; + double Lp_inversion_p_s, Lp_inversion_p_x, Lp_inversion_p_y, Lp_inversion_p_z, Lp_inversion_p_t; double Lp_inversion_eps; double min_size_dx, min_size_dy, min_size_dz; double x_model[2]; @@ -77,6 +77,9 @@ class GraAdaInv int max_refinement; int show_process_or_not; + double relative_threshold; + int method_id; + string crg_model_file; string ref_model_file; @@ -111,11 +114,11 @@ int main(int argc, char **argv) return 1; } - cout << R"( ____ _ _ _____ ____ )" << endl - << R"( / ___| _ __ __ _ / \ __| | __ _ |___ /| _ \ )" << endl - << R"(| | _ | '__| / _` | / _ \ / _` | / _` | |_ \| | | |)" << endl - << R"(| |_| | | | | (_| | / ___ \ | (_| | | (_| | ___) | |_| |)" << endl - << R"( \____| |_| \__,_| /_/ \_\ \__,_| \__,_| |____/|____/ )" << endl; + // cout << R"( ____ _ _ _____ ____ )" << endl + // << R"( / ___| _ __ __ _ / \ __| | __ _ |___ /| _ \ )" << endl + // << R"(| | _ | '__| / _` | / _ \ / _` | / _` | |_ \| | | |)" << endl + // << R"(| |_| | | | | (_| | / ___ \ | (_| | | (_| | ___) | |_| |)" << endl + // << R"( \____| |_| \__,_| /_/ \_\ \__,_| \__,_| |____/|____/ )" << endl; cout << "Using inversion parameters from configuration file: " << argv[1] << endl; @@ -476,13 +479,25 @@ void GraAdaInv::read_inversion_parameters(string inversion_para) string line; next_valid_line(input_stream, line); istringstream iss(line); + iss >> method_id; + + next_valid_line(input_stream, line); + iss.clear(); + iss.str(""); + iss.str(line); + iss >> relative_threshold; + + next_valid_line(input_stream, line); + iss.clear(); + iss.str(""); + iss.str(line); iss >> as >> az >> ax >> ay >> acrg; next_valid_line(input_stream, line); iss.clear(); iss.str(""); iss.str(line); - iss >> Lp_inversion_p >> Lp_inversion_eps; + iss >> Lp_inversion_p_s >> Lp_inversion_p_x >> Lp_inversion_p_y >> Lp_inversion_p_z >> Lp_inversion_p_t >> Lp_inversion_eps; next_valid_line(input_stream, line); iss.clear(); @@ -684,7 +699,7 @@ void GraAdaInv::start_inversion() inv->set_stagnation_tolerance(stagnate_tol); inv->set_target_misfit(target_misfit); - inv->set_Lp_inversion_parameter(Lp_inversion_p, Lp_inversion_eps); + inv->set_Lp_inversion_parameter(Lp_inversion_p_s, Lp_inversion_p_x, Lp_inversion_p_y, Lp_inversion_p_z, Lp_inversion_p_t, Lp_inversion_eps); if (use_crg) { @@ -701,7 +716,9 @@ void GraAdaInv::start_inversion() // if() - inv->compute_G(); + // inv->compute_G(); + inv->set_method_id(this->method_id); + inv->set_compression_threshold(relative_threshold); int Nm = inv_mesh.n_elems(); VectorXd m_min = VectorXd::Constant(Nm, min_value); diff --git a/src/Inversion/AdaptiveInversion.cpp b/src/Inversion/AdaptiveInversion.cpp index ec1fc712..7e5749ee 100644 --- a/src/Inversion/AdaptiveInversion.cpp +++ b/src/Inversion/AdaptiveInversion.cpp @@ -264,6 +264,7 @@ void AdaptiveInversion::refine_mesh(double a, int counter = 0; map split_cells; + int num_cells_to_be_refined = cells_marked.size(); for (int i = 0; i < cells_marked.size(); i++) { if (cells_marked[i]->isleaf) @@ -274,58 +275,113 @@ void AdaptiveInversion::refine_mesh(double a, } } - if (split_cells.size() > 0) + if (num_cells_to_be_refined > 0) { - expand_G(split_cells); - - map::const_iterator map_it = split_cells.begin(); - Cell *parent_cell; - for (int i = 0; i < split_cells.size(); i++) + std::cout << split_cells.size() << " elements are refined" << endl; + mesh.rearrange_id(); + this->Nm = mesh.n_elems(); + this->init_matrices(); + if (use_wavelet) { - int index = map_it->first; - parent_cell = map_it->second; - for (int j = 0; j < 8; j++) + compute_G_wavelet(); + map::const_iterator map_it = split_cells.begin(); + Cell *parent_cell; + for (int i = 0; i < split_cells.size(); i++) { - assert(parent_cell->child_cells[j]->isleaf); - double xc, yc, zc; - parent_cell->child_cells[j]->get_center(xc, yc, zc); - array args = {xc, yc, zc}; - - if (flag == "crg") - { - parent_cell->child_cells[j]->set_parameter( - interp.interp(args.begin()), 2); - } - else if (flag == "pet") - { - parent_cell->child_cells[j]->set_parameter( - interp.interp(args.begin()), 1); - } - else if (flag == "both") + int index = map_it->first; + parent_cell = map_it->second; + for (int j = 0; j < 8; j++) { - parent_cell->child_cells[j]->set_parameter( - interp.interp(args.begin()), 2); - parent_cell->child_cells[j]->set_parameter( - interp.interp(args.begin()), 1); + assert(parent_cell->child_cells[j]->isleaf); + double xc, yc, zc; + parent_cell->child_cells[j]->get_center(xc, yc, zc); + array args = {xc, yc, zc}; + + if (flag == "crg") + { + parent_cell->child_cells[j]->set_parameter( + interp.interp(args.begin()), 2); + } + else if (flag == "pet") + { + parent_cell->child_cells[j]->set_parameter( + interp.interp(args.begin()), 1); + } + else if (flag == "both") + { + parent_cell->child_cells[j]->set_parameter( + interp.interp(args.begin()), 2); + parent_cell->child_cells[j]->set_parameter( + interp.interp(args.begin()), 1); + } + else + { + cout << "flag must be \"crg\" or \"pet\" or\"both\"" + << endl; + abort(); + } } - else + map_it++; + } + mesh.get_model_parameter_from_mesh(m, 0); + mesh.get_model_parameter_from_mesh(m0, 1); + mesh.get_model_parameter_from_mesh(m0_s, 2); + mesh.get_model_parameter_from_mesh(m_min, 3); + mesh.get_model_parameter_from_mesh(m_max, 4); + } + else + { + expand_G(split_cells); + map::const_iterator map_it = split_cells.begin(); + Cell *parent_cell; + for (int i = 0; i < split_cells.size(); i++) + { + int index = map_it->first; + parent_cell = map_it->second; + for (int j = 0; j < 8; j++) { - cout << "flag must be \"crg\" or \"pet\" or\"both\"" - << endl; - abort(); + assert(parent_cell->child_cells[j]->isleaf); + double xc, yc, zc; + parent_cell->child_cells[j]->get_center(xc, yc, zc); + array args = {xc, yc, zc}; + + if (flag == "crg") + { + parent_cell->child_cells[j]->set_parameter( + interp.interp(args.begin()), 2); + } + else if (flag == "pet") + { + parent_cell->child_cells[j]->set_parameter( + interp.interp(args.begin()), 1); + } + else if (flag == "both") + { + parent_cell->child_cells[j]->set_parameter( + interp.interp(args.begin()), 2); + parent_cell->child_cells[j]->set_parameter( + interp.interp(args.begin()), 1); + } + else + { + cout << "flag must be \"crg\" or \"pet\" or\"both\"" + << endl; + abort(); + } } + map_it++; } - map_it++; + mesh.get_model_parameter_from_mesh(m, 0); + mesh.get_model_parameter_from_mesh(m0, 1); + mesh.get_model_parameter_from_mesh(m0_s, 2); + mesh.get_model_parameter_from_mesh(m_min, 3); + mesh.get_model_parameter_from_mesh(m_max, 4); } } // cout << G.rows() << ", " << G.cols() << endl; - mesh.get_model_parameter_from_mesh(m, 0); - mesh.get_model_parameter_from_mesh(m0, 1); - mesh.get_model_parameter_from_mesh(m0_s, 2); - mesh.get_model_parameter_from_mesh(m_min, 3); - mesh.get_model_parameter_from_mesh(m_max, 4); - mesh.rearrange_id(); - this->init_matrices(); + + // mesh.rearrange_id(); + // this->init_matrices(); // cout << G.rows() << ", " << G.cols() << endl; // this->compute_G(); } @@ -390,6 +446,7 @@ void AdaptiveInversion::refine_mesh( int counter = 0; map split_cells; + int num_cells_to_be_refined = cells_marked.size(); for (int i = 0; i < cells_marked.size(); i++) { if (cells_marked[i]->isleaf) @@ -400,40 +457,77 @@ void AdaptiveInversion::refine_mesh( } } - if (split_cells.size() > 0) + if (num_cells_to_be_refined > 0) { - expand_G(split_cells); + std::cout << split_cells.size() << " elements are refined" << endl; + mesh.rearrange_id(); + this->Nm = mesh.n_elems(); + this->init_matrices(); + if (use_wavelet) + { + compute_G_wavelet(); + map::const_iterator map_it = split_cells.begin(); + Cell *parent_cell; + for (int i = 0; i < split_cells.size(); i++) + { + int index = map_it->first; + parent_cell = map_it->second; + for (int j = 0; j < 8; j++) + { + assert(parent_cell->child_cells[j]->isleaf); + double xc, yc, zc; + parent_cell->child_cells[j]->get_center(xc, yc, zc); + + array args = {xc, yc, zc}; - map::const_iterator map_it = split_cells.begin(); - Cell *parent_cell; - for (int i = 0; i < split_cells.size(); i++) + parent_cell->child_cells[j]->set_parameter( + interp_ML_m0.interp(args.begin()), 1); + parent_cell->child_cells[j]->set_parameter( + interp_ML_crg.interp(args.begin()), 2); + } + map_it++; + } + mesh.get_model_parameter_from_mesh(m, 0); + mesh.get_model_parameter_from_mesh(m0, 1); + mesh.get_model_parameter_from_mesh(m0_s, 2); + mesh.get_model_parameter_from_mesh(m_min, 3); + mesh.get_model_parameter_from_mesh(m_max, 4); + } + else { - int index = map_it->first; - parent_cell = map_it->second; - for (int j = 0; j < 8; j++) + expand_G(split_cells); + map::const_iterator map_it = split_cells.begin(); + Cell *parent_cell; + for (int i = 0; i < split_cells.size(); i++) { - assert(parent_cell->child_cells[j]->isleaf); - double xc, yc, zc; - parent_cell->child_cells[j]->get_center(xc, yc, zc); + int index = map_it->first; + parent_cell = map_it->second; + for (int j = 0; j < 8; j++) + { + assert(parent_cell->child_cells[j]->isleaf); + double xc, yc, zc; + parent_cell->child_cells[j]->get_center(xc, yc, zc); - array args = {xc, yc, zc}; + array args = {xc, yc, zc}; - parent_cell->child_cells[j]->set_parameter( - interp_ML_m0.interp(args.begin()), 1); - parent_cell->child_cells[j]->set_parameter( - interp_ML_crg.interp(args.begin()), 2); + parent_cell->child_cells[j]->set_parameter( + interp_ML_m0.interp(args.begin()), 1); + parent_cell->child_cells[j]->set_parameter( + interp_ML_crg.interp(args.begin()), 2); + } + map_it++; } - map_it++; + mesh.get_model_parameter_from_mesh(m, 0); + mesh.get_model_parameter_from_mesh(m0, 1); + mesh.get_model_parameter_from_mesh(m0_s, 2); + mesh.get_model_parameter_from_mesh(m_min, 3); + mesh.get_model_parameter_from_mesh(m_max, 4); } } // cout << G.rows() << ", " << G.cols() << endl; - mesh.get_model_parameter_from_mesh(m, 0); - mesh.get_model_parameter_from_mesh(m0, 1); - mesh.get_model_parameter_from_mesh(m0_s, 2); - mesh.get_model_parameter_from_mesh(m_min, 3); - mesh.get_model_parameter_from_mesh(m_max, 4); - mesh.rearrange_id(); - this->init_matrices(); + + // mesh.rearrange_id(); + // this->init_matrices(); // cout << G.rows() << ", " << G.cols() << endl; // this->compute_G(); @@ -597,6 +691,7 @@ void AdaptiveInversion::refine_mesh(double a) int counter = 0; map split_cells; + int num_cells_to_be_refined = cells_marked.size(); for (int i = 0; i < cells_marked.size(); i++) { if (cells_marked[i]->isleaf) @@ -606,16 +701,36 @@ void AdaptiveInversion::refine_mesh(double a) split_cells.insert(split_cells0.begin(), split_cells0.end()); } } - if (split_cells.size() > 0) + if (num_cells_to_be_refined > 0) { - expand_G(split_cells); + std::cout << split_cells.size() << " elements are refined" << endl; + mesh.rearrange_id(); + this->Nm = mesh.n_elems(); + this->init_matrices(); // this function should be called after the + // rearrange_id() function + if (use_wavelet) + { + this->compute_G_wavelet(); // this function should be called after + // the rearrange_id() function + mesh.get_model_parameter_from_mesh(m, 0); + mesh.get_model_parameter_from_mesh(m0, 1); + mesh.get_model_parameter_from_mesh(m0_s, 2); + mesh.get_model_parameter_from_mesh(m_min, 3); + mesh.get_model_parameter_from_mesh(m_max, 4); + } + else + { + // this function does not use indexes of cells, so it doesn't matter + // whether rearrange_id function is invoked after it + expand_G(split_cells); + mesh.get_model_parameter_from_mesh(m, 0); + mesh.get_model_parameter_from_mesh(m0, 1); + mesh.get_model_parameter_from_mesh(m0_s, 2); + mesh.get_model_parameter_from_mesh(m_min, 3); + mesh.get_model_parameter_from_mesh(m_max, 4); + } } - mesh.get_model_parameter_from_mesh(m, 0); - mesh.get_model_parameter_from_mesh(m0, 1); - mesh.get_model_parameter_from_mesh(m0_s, 2); - mesh.get_model_parameter_from_mesh(m_min, 3); - mesh.get_model_parameter_from_mesh(m_max, 4); - mesh.rearrange_id(); - this->init_matrices(); + // mesh.rearrange_id(); + // this->init_matrices(); } diff --git a/src/Inversion/GaussNewtonInversion.cpp b/src/Inversion/GaussNewtonInversion.cpp index 01252053..53e7ea77 100644 --- a/src/Inversion/GaussNewtonInversion.cpp +++ b/src/Inversion/GaussNewtonInversion.cpp @@ -1,5 +1,34 @@ #include "GaussNewtonInversion.h" void GaussNewtonInversion::invert() +{ + // this->set_use_wavelet(false); + // this->compute_G(); + // this->invert_with_Eigen_CG(); + if (this->use_wavelet) + { + method_id = 2; + } + if (method_id == 0) + { + this->set_use_wavelet(false); + this->compute_G(); + this->invert_with_Eigen_CG(); // not recommended , because the code will get stuck when there are a large number of cells + } + else if (method_id == 1) + { + this->set_use_wavelet(false); + this->compute_G(); + this->invert_with_own_CG(); + } + else if (method_id == 2) + { + this->set_use_wavelet(true); + this->compute_G_wavelet(); + this->invert_with_own_CG(); + } +} + +void GaussNewtonInversion::invert_with_Eigen_CG() { // set reference model using interpolation if (use_petrophysical_constraint == true) @@ -20,7 +49,7 @@ void GaussNewtonInversion::invert() if (use_cross_gradient_constraint == true) { - cout << "Cross gradient constraint is used" << endl; + std::cout << "Cross gradient constraint is used" << endl; for (int i = 0; i < Nm; i++) { Cell *c = this->mesh.leaf_cells[i]; @@ -35,15 +64,20 @@ void GaussNewtonInversion::invert() this->set_Tmatrix(); // update_S_crg(); } - - SMatrix WL1_s(Nm, Nm); - SMatrix WL1_x(Nm, Nm); - SMatrix WL1_y(Nm, Nm); - SMatrix WL1_z(Nm, Nm); - WL1_s.setIdentity(); - WL1_x.setIdentity(); - WL1_y.setIdentity(); - WL1_z.setIdentity(); + SMatrix WL_s(Nm, Nm); + SMatrix WL_x(Nm, Nm); + SMatrix WL_y(Nm, Nm); + SMatrix WL_z(Nm, Nm); + SMatrix WL_tx(Nm, Nm); + SMatrix WL_ty(Nm, Nm); + SMatrix WL_tz(Nm, Nm); + WL_s.setIdentity(); + WL_x.setIdentity(); + WL_y.setIdentity(); + WL_z.setIdentity(); + WL_tx.setIdentity(); + WL_ty.setIdentity(); + WL_tz.setIdentity(); SMatrix Ws = a_s * S_s * V * D_s * Z; SMatrix Wx = a_x * S_x * V * D_x1 * Z; @@ -58,6 +92,9 @@ void GaussNewtonInversion::invert() VectorXd Wxm; VectorXd Wym; VectorXd Wzm; + VectorXd Txm; + VectorXd Tym; + VectorXd Tzm; VectorXd Ws_m0 = Ws * m0; @@ -71,7 +108,6 @@ void GaussNewtonInversion::invert() b.setZero(); // A.topRows(Nd) = (Wd * G).sparseView(); b.head(Nd) = Wd * dobs; - // cout<<"x"<max_lambda; - A.middleRows(Nd, Nm) = sqrt(lambda) * WL1_s * Ws; - A.middleRows(Nd + Nm, Nm) = sqrt(lambda) * WL1_z * Wz; - A.middleRows(Nd + 2 * Nm, Nm) = sqrt(lambda) * WL1_x * Wx; - A.middleRows(Nd + 3 * Nm, Nm) = sqrt(lambda) * WL1_y * Wy; + A.middleRows(Nd, Nm) = sqrt(lambda) * WL_s * Ws; + A.middleRows(Nd + Nm, Nm) = sqrt(lambda) * WL_z * Wz; + A.middleRows(Nd + 2 * Nm, Nm) = sqrt(lambda) * WL_x * Wx; + A.middleRows(Nd + 3 * Nm, Nm) = sqrt(lambda) * WL_y * Wy; // cout << S_crg.rows() << endl; // cout << S_crg.cols() << endl; if (use_cross_gradient_constraint == true) { - A.middleRows(Nd + 4 * Nm, Nm) = this->a_crg * S_crg * T_z; - A.middleRows(Nd + 5 * Nm, Nm) = this->a_crg * S_crg * T_x; - A.middleRows(Nd + 6 * Nm, Nm) = this->a_crg * S_crg * T_y; + A.middleRows(Nd + 4 * Nm, Nm) = this->a_crg * WL_tz * S_crg * T_z; + A.middleRows(Nd + 5 * Nm, Nm) = this->a_crg * WL_tx * S_crg * T_x; + A.middleRows(Nd + 6 * Nm, Nm) = this->a_crg * WL_ty * S_crg * T_y; } A.makeCompressed(); - b.segment(Nd, Nm) = sqrt(lambda) * WL1_s * Ws_m0; + b.segment(Nd, Nm) = sqrt(lambda) * WL_s * Ws_m0; // b.segment(Nd + Nm, Nm) = sqrt(lambda) * Wr_m0; // b.segment(Nd + 2 * Nm, Nm) = sqrt(lambda) * Wtheta_m0; // b.segment(Nd + 3 * Nm, Nm) = sqrt(lambda) * Wphi_m0; @@ -262,7 +299,7 @@ void GaussNewtonInversion::invert() misfit_last2 = misfit_last1; misfit_last1 = misfit; - misfit = (Wd * (G * m_trial - dobs)).squaredNorm() / Nd; + misfit = sqrt((Wd * (G * m_trial - dobs)).squaredNorm() / Nd); // cout << " Lambda=" << lambda << ", "; std::cout << " #" << j << " lambda=" << lambda << ", misfit=" << misfit << " (CG iterations: " << lscg.iterations() << "," @@ -284,13 +321,13 @@ void GaussNewtonInversion::invert() stag_tol) && j > 1) { - cout << " Misfit stagnates, go to next Gauss-Newton iteration." - << endl; + std::cout << " Misfit stagnates, go to next Gauss-Newton iteration." + << endl; break; } if (misfit > misfit_last1 && misfit_last1 > misfit_last2 && j > 1) { - cout + std::cout << " Misfit starts to increase, go to next Gauss-Newton iteration." << endl; break; @@ -306,28 +343,41 @@ void GaussNewtonInversion::invert() for (int i = 0; i < Nm; i++) { - WL1_s.coeffRef(i, i) = - pow(Wsm_m0(i) * Wsm_m0(i) + epsilon2, -(2 - Lp) / 4.0); - WL1_x.coeffRef(i, i) = - pow(Wxm(i) * Wxm(i) + epsilon2, -(2 - Lp) / 4.0); - WL1_y.coeffRef(i, i) = - pow(Wym(i) * Wym(i) + epsilon2, -(2 - Lp) / 4.0); - WL1_z.coeffRef(i, i) = - pow(Wzm(i) * Wzm(i) + epsilon2, -(2 - Lp) / 4.0); + + WL_s.coeffRef(i, i) = + pow(Wsm_m0(i) * Wsm_m0(i) + epsilon2, -(2 - Lp_s) / 4.0); + WL_x.coeffRef(i, i) = + pow(Wxm(i) * Wxm(i) + epsilon2, -(2 - Lp_x) / 4.0); + WL_y.coeffRef(i, i) = + pow(Wym(i) * Wym(i) + epsilon2, -(2 - Lp_y) / 4.0); + WL_z.coeffRef(i, i) = + pow(Wzm(i) * Wzm(i) + epsilon2, -(2 - Lp_z) / 4.0); + } + if ((Lp_t != 2) && (use_cross_gradient_constraint == true)) + { + Txm = T_x * m_opt; + Tym = T_y * m_opt; + Tzm = T_z * m_opt; + for (int i = 0; i < Nm; i++) + { + WL_tx.coeffRef(i, i) = pow(Txm(i) * Txm(i) + epsilon2, -(2 - Lp_t) / 4.0); + WL_ty.coeffRef(i, i) = pow(Tym(i) * Tym(i) + epsilon2, -(2 - Lp_t) / 4.0); + WL_tz.coeffRef(i, i) = pow(Tzm(i) * Tzm(i) + epsilon2, -(2 - Lp_t) / 4.0); + } } - A.middleRows(Nd, Nm) = sqrt(lambda) * WL1_s * Ws; - A.middleRows(Nd + Nm, Nm) = sqrt(lambda) * WL1_z * Wz; - A.middleRows(Nd + 2 * Nm, Nm) = sqrt(lambda) * WL1_x * Wx; - A.middleRows(Nd + 3 * Nm, Nm) = sqrt(lambda) * WL1_y * Wy; + A.middleRows(Nd, Nm) = sqrt(lambda) * WL_s * Ws; + A.middleRows(Nd + Nm, Nm) = sqrt(lambda) * WL_z * Wz; + A.middleRows(Nd + 2 * Nm, Nm) = sqrt(lambda) * WL_x * Wx; + A.middleRows(Nd + 3 * Nm, Nm) = sqrt(lambda) * WL_y * Wy; if (use_cross_gradient_constraint == true) { - A.middleRows(Nd + 4 * Nm, Nm) = this->a_crg * S_crg * T_z; - A.middleRows(Nd + 5 * Nm, Nm) = this->a_crg * S_crg * T_x; - A.middleRows(Nd + 6 * Nm, Nm) = this->a_crg * S_crg * T_y; + A.middleRows(Nd + 4 * Nm, Nm) = this->a_crg * S_crg * WL_tz * T_z; + A.middleRows(Nd + 5 * Nm, Nm) = this->a_crg * S_crg * WL_tx * T_x; + A.middleRows(Nd + 6 * Nm, Nm) = this->a_crg * S_crg * WL_ty * T_y; } - b.segment(Nd, Nm) = sqrt(lambda) * WL1_s * Ws_m0; + b.segment(Nd, Nm) = sqrt(lambda) * WL_s * Ws_m0; } if (misfit < target_misfit) { @@ -372,15 +422,15 @@ void GaussNewtonInversion::invert() { if (misfit < target_misfit) { - cout << "Stop iteration, because the target misift has been achieved" - << endl; + std::cout << "Stop iteration, because the target misift has been achieved" + << endl; } else if (i == GN_iter - 1) { - cout << "Stop iteration, because the maximum iteration has been reached" - << endl; + std::cout << "Stop iteration, because the maximum iteration has been reached" + << endl; } - cout << "Gauss-Newton iteration number:" << i + 1 << endl; + std::cout << "Gauss-Newton iteration number:" << i + 1 << endl; break; } @@ -389,109 +439,123 @@ void GaussNewtonInversion::invert() stag_tol; if (c_refinement >= max_refinement_number && flag1) { - cout << "Stop iteration, because the misfit stagnated" << endl; - cout << "Gauss-Newton iteration number:" << i + 1 << endl; + std::cout << "Stop iteration, because the misfit stagnated" << endl; + std::cout << "Gauss-Newton iteration number:" << i + 1 << endl; break; } if ((c_refinement < max_refinement_number) && (++i_between_refinement % interval_between_refinements == 0 || flag1)) { - cout << "\n"; + std::cout << "\n"; i_between_refinement = 0; ++c_refinement; if (flag1) { - cout << "Misfit stagnates, refine mesh ..." << endl; + std::cout << "Misfit stagnates, refine mesh ..." << endl; } else { - cout << interval_between_refinements - << ((i_between_refinement == 1) ? string(" iteration has") - : string(" iterations have")) - << " passed since last refinement, refine mesh ..." << endl; + std::cout << interval_between_refinements + << ((i_between_refinement == 1) ? string(" iteration has") + : string(" iterations have")) + << " passed since last refinement, refine mesh ..." << endl; } - cout << c_refinement - << (c_refinement == 1 - ? ("st") - : (c_refinement == 2 - ? ("nd") - : (c_refinement == 3 ? ("rd") : ("th")))) - << " refinement." << endl - << endl; + std::cout << c_refinement + << (c_refinement == 1 + ? ("st") + : (c_refinement == 2 + ? ("nd") + : (c_refinement == 3 ? ("rd") : ("th")))) + << " refinement." << endl + << endl; if (use_cross_gradient_constraint && use_petrophysical_constraint) { refine_mesh(refinement_percentage, *interpolator_m0s, *interpolator_m0); - // cout<<"stop here"<set_Tmatrix(); + if (Lp_t != 2) + { + Txm = T_x * m; + Tym = T_y * m; + Tzm = T_z * m; + for (int i = 0; i < Nm; i++) + { + WL_tx.coeffRef(i, i) = pow(Txm(i) * Txm(i) + epsilon2, -(2 - Lp_t) / 4.0); + WL_ty.coeffRef(i, i) = pow(Tym(i) * Tym(i) + epsilon2, -(2 - Lp_t) / 4.0); + WL_tz.coeffRef(i, i) = pow(Tzm(i) * Tzm(i) + epsilon2, -(2 - Lp_t) / 4.0); + } + } } nrow = (use_cross_gradient_constraint == true) ? (Nd + 7 * Nm) @@ -526,7 +602,7 @@ void GaussNewtonInversion::invert() : (Nd * Nm + Ws.nonZeros() + Wx.nonZeros() + Wy.nonZeros() + Wz.nonZeros()); A.reserve(nnz); - cout << "Set G to A" << endl; + std::cout << "Set G to A" << endl; for (size_t r_id = 0; r_id < Nd; r_id++) { for (size_t c_id = 0; c_id < Nm; c_id++) @@ -547,116 +623,1038 @@ void GaussNewtonInversion::invert() delta_x.resize(Nm, 1); m_trial.resize(Nm, 1); } - // cout << i << endl; + // std::cout << i << endl; } if (i == GN_iter) { - cout << "Gauss-Newton iteration number:" << GN_iter << endl; + std::cout << "Gauss-Newton iteration number:" << GN_iter << endl; } this->set_density_to_mesh(); final_lambda = lambda; final_misfit = misfit; - cout << "Lambda=" << lambda << ", "; - cout << "Misfit=" << misfit << endl; -} - -void GaussNewtonInversion::set_CG_parameter(double cg_tol_, - double cg_iteration_factor_) -{ - cg_tol = cg_tol_; - cg_iteration_factor_ = abs(cg_iteration_factor_); - this->cg_iteration_factor = cg_iteration_factor_; + std::cout << "Lambda=" << lambda << ", "; + std::cout << "Misfit=" << misfit << endl; } -void GaussNewtonInversion::display_inversion_parameters() const +void GaussNewtonInversion::invert_with_own_CG() { - display_info_fields(); - cout << endl; + // set reference model using interpolation + if (use_petrophysical_constraint == true) + { + for (int i = 0; i < Nm; i++) + { + Cell *c = this->mesh.leaf_cells[i]; + double xc, yc, zc; + c->get_center(xc, yc, zc); + array args = {xc, yc, zc}; + double val = (*interpolator_m0).interp(args.begin()); + c->set_parameter(val, 1); + } + // std::cout << "m0" << endl; + this->m0.resize(Nm); + mesh.get_model_parameter_from_mesh(m0, 1); + } + // cout << "1" << endl; - cout << "alpha_s=" << a_s << endl; - cout << "alpha_z=" << a_z << endl; - cout << "alpha_x=" << a_x << endl; - cout << "alpha_y=" << a_y << endl; + if (use_cross_gradient_constraint == true) + { + std::cout << "Cross gradient constraint is used" << endl; + for (int i = 0; i < Nm; i++) + { + Cell *c = this->mesh.leaf_cells[i]; + double xc, yc, zc; + c->get_center(xc, yc, zc); + array args = {xc, yc, zc}; + double val = (*interpolator_m0s).interp(args.begin()); + c->set_parameter(val, 2); + } + this->m0_s.resize(Nm); + mesh.get_model_parameter_from_mesh(m0_s, 2); + this->set_Tmatrix(); + // update_S_crg(); + } + // cout << "x" << endl; + + SMatrix WL_s(Nm, Nm); + SMatrix WL_x(Nm, Nm); + SMatrix WL_y(Nm, Nm); + SMatrix WL_z(Nm, Nm); + SMatrix WL_tx(Nm, Nm); + SMatrix WL_ty(Nm, Nm); + SMatrix WL_tz(Nm, Nm); + WL_s.setIdentity(); + WL_x.setIdentity(); + WL_y.setIdentity(); + WL_z.setIdentity(); + WL_tx.setIdentity(); + WL_ty.setIdentity(); + WL_tz.setIdentity(); - cout << "alpha_crg=" << a_crg << endl; + SMatrix Ws = a_s * S_s * V * D_s * Z; + SMatrix Wx = a_x * S_x * V * D_x1 * Z; + SMatrix Wy = a_y * S_y * V * D_y1 * Z; + SMatrix Wz = a_z * S_z * V * D_z1 * Z; + Ws.makeCompressed(); + Wx.makeCompressed(); + Wy.makeCompressed(); + Wz.makeCompressed(); - cout << endl; - cout << "Maximum regularizaton parameter is " << max_lambda << endl; - cout << "Maximum number of regularization parameters (lambda) used for " - "trials: " - << n_lambda << endl - << endl; + VectorXd Wsm_m0; + VectorXd Wxm; + VectorXd Wym; + VectorXd Wzm; + VectorXd Txm; + VectorXd Tym; + VectorXd Tzm; - cout << "Target misfit is " << target_misfit << endl; + VectorXd Ws_m0 = Ws * m0; - cout << "Stagnation factor is " << stag_tol - << " (the inversion stagnate when the relative difference of misfits " - "at " - "2 consecutive iterations is smaller than this factor)" - << endl; + // int nrow = + // (use_cross_gradient_constraint == true) ? (Nd + 7 * Nm) : (Nd + 4 * Nm); + // SMatrix A(nrow, Nm); + // A.reserve(Nd * Nm + Ws.nonZeros() + Wx.nonZeros() + Wy.nonZeros() + + // Wz.nonZeros() + 6 * Nm); + // VectorXd b(nrow); + // A.setZero(); + // b.setZero(); + // // A.topRows(Nd) = (Wd * G).sparseView(); + // b.head(Nd) = Wd * dobs; + // std::cout<<"x"<max_lambda; - cout << "Model density contrast limits: " - << "[" << m_min.minCoeff() << ", " << m_max.maxCoeff() << "]" - << "kg/m3" << endl; + VectorXd delta_x(Nm), m_trial(Nm); // m_trial_last(Nm), m_trial_last2(Nm); + double misfit, misfit_last1, misfit_last2, misfit_last_iteration; - if (max_refinement_number > 0) + if (use_petrophysical_constraint) { - cout << endl; - cout << "The inversion mesh will be adaptively refined at every " - << interval_between_refinements << " iteration." << endl; - cout << "The mesh may be refined for " << max_refinement_number - << " times AT MOST!" << endl; - cout << "For each time of refinement, " << refinement_percentage * 100 - << "% of cells are marked for refinement. BUT the exact number of " - "cells that are refined might be different from this number " - "because the " - "refinement conditions imposed in the algorithm (i.e. cells " - "smaller than the specified minimum " - "size cannot be refined; the maximum difference in the levels of " - "adjacent elements in " - "the tree must not exceed 1)." - << endl - << endl; - cout << "Cells smaller than (dx=" << min_dx << "m, dy=" << min_dy - << "m, dz=" << min_dz << "m) cannot be refined" << endl; + m = m0; + for (int i = 0; i < Nm; i++) + { + if (m(i) > m_max(i) || abs(m(i) - m_max(i)) < 1e-7) + { + m(i) = m_max(i) - 0.01; + } + if (m(i) < m_min(i) || abs(m(i) - m_min(i)) < 1e-7) + { + m(i) = m_min(i) + 0.01; + } + } } else { - cout << endl; - cout << "The inversion mesh will not be refined." << endl; + m = m_ini; + for (int i = 0; i < Nm; i++) + { + if (m(i) > m_max(i) || abs(m(i) - m_max(i)) < 1e-7) + { + m(i) = 0.5 * (m_max(i) + m_min(i)); + } + if (m(i) < m_min(i) || abs(m(i) - m_min(i)) < 1e-7) + { + m(i) = 0.5 * (m_max(i) + m_min(i)); + } + } } - cout << "Will the inversion model be recorded at each iteration?"; - if (record_process == 1) + VectorXd dpre(Nd); + this->G_vec_mul(m, dpre); + misfit = sqrt((Wd * (dpre - dobs)).squaredNorm() / Nd); + + misfit_last_iteration = 5 * misfit; + + for (int id = 0; id < Nm; id++) { - cout << " Yes" << endl; + P.coeffRef(id, id) = + (m_max(id) - m(id)) * (m(id) - m_min(id)) / (m_max(id) - m_min(id)); } - else + // LeastSquaresConjugateGradient lscg; + // lscg.setTolerance(cg_tol); + + ofstream out_lambda_misfit("lambda_misfit_GN"); + out_lambda_misfit << setw(25) << "lambda" << setw(25) << "misfit" << endl; + + ofstream out_iteration_misfit("Iteration_misfit_GN"); + out_iteration_misfit << setw(25) << "Iteranation number" << setw(25) + << "number of tried regulartion parameters" << setw(25) + << "misfit" << endl; + // cout << "B" << endl; + + int i, j; + double lambda_opt; + double misfit_opt; + VectorXd m_opt; + misfit_opt = misfit; + m_opt = m; + + int c_refinement = 0; + int i_between_refinement = 0; + + for (i = 0; i < GN_iter; i++) { - cout << " No" << endl; - } - cout << endl; - cout << "Use cross-gradient constraint model? " - << ((use_cross_gradient_constraint == true) ? ("Yes") : ("No")) << endl; - cout << "Use petrophysical constraint model? " - << ((use_petrophysical_constraint == true) ? ("Yes") : ("No")) << endl; - cout << endl; + std::cout << "The " << i + 1 << " th" + << " Gauss-Newton Iteration:" << endl; + std::cout << "Number of elements: " << Nm << endl; + + double min_cell_dx, min_cell_dy, min_cell_dz; + int max_lev; + + mesh.get_minimum_size(min_cell_dx, min_cell_dy, min_cell_dz, max_lev); + std::cout << "The smallest cell: (dx= " << min_cell_dx << " m, " + << "dy= " << min_cell_dy << " m, " + << "dz= " << min_cell_dz << " m)" << endl; + + m_trial = m; + misfit_last1 = 10 * misfit; // misfit for last lambda + misfit_last2 = 100 * misfit; // misfit for the lambda before last lambda + misfit_last_iteration = misfit; + lambda = this->max_lambda; + + int cg_maxit = 0; + if (cg_iteration_factor < 1) + { + cg_maxit = cg_iteration_factor * Nm; + } + else + { + cg_maxit = int(cg_iteration_factor); + } + for (int id = 0; id < Nm; id++) + { + int n = 1.0; + P.coeffRef(id, id) = n * (m_max(id) - m(id)) * (m(id) - m_min(id)) / + (m_max(id) - m_min(id)); + } + delta_x.setZero(); + for (j = 0; j < n_lambda; j++) + { + // lscg.compute(A * P); + // delta_x = lscg.solve(b - A * m); + double cg_error; + int cg_iterations; + delta_x = solve_cg(cg_tol, cg_maxit, cg_error, cg_iterations, + lambda, m, m0, Wd, dobs, P, Ws, Wx, Wy, Wz, + T_x, T_y, T_z, WL_s, WL_x, WL_y, WL_z, WL_tx, WL_ty, WL_tz); + + // m_trial_last2 = m_trial_last; + // m_trial_last = m_trial; + double temp, temp2, temp3; + // update + for (int id = 0; id < Nm; id++) + { + temp = exp(delta_x(id)); + temp2 = (m_min(id) * (m_max(id) - m(id)) + + m_max(id) * (m(id) - m_min(id)) * temp); + temp3 = ((m_max(id) - m(id)) + (m(id) - m_min(id)) * temp); + if (std::isinf(temp) || std::isinf(temp2)) + { + m_trial(id) = (m_max(id) - 1e-6 + m_trial(id)) / 2.0; + if (id == 0) + { + m_trial(id) = 0.5 * (m_trial(id) + m_trial(id + 1)); + } + else + { + m_trial(id) = 0.5 * (m_trial(id) + m_trial(id - 1)); + } + } + else if (fabs(temp3) < 1e-10) + { + m_trial(id) = (m_min(id) + 1e-6 + m_trial(id)) / 2.0; + if (id == 0) + { + m_trial(id) = 0.5 * (m_trial(id) + m_trial(id + 1)); + } + else + { + m_trial(id) = 0.5 * (m_trial(id) + m_trial(id - 1)); + } + } + else + { + m_trial(id) = temp2 / temp3; + } + } + + misfit_last2 = misfit_last1; + misfit_last1 = misfit; + this->G_vec_mul(m_trial, dpre); + misfit = sqrt((Wd * (dpre - dobs)).squaredNorm() / Nd); + // std::cout << " Lambda=" << lambda << ", "; + std::cout << " #" << j << " lambda=" << lambda << ", misfit=" << misfit + << " (CG iterations: " << cg_iterations << "," + << " error: " << cg_error << ")" << std::endl; + out_lambda_misfit << scientific << setw(25) << setprecision(14) << lambda + << scientific << setw(25) << setprecision(14) + << (misfit) << endl; + + if (j == 0 || misfit < misfit_opt) + { + misfit_opt = misfit; + m_opt = m_trial; + lambda_opt = lambda; + } + if ((std::abs(misfit - misfit_last1) / min(misfit, misfit_last1) < + stag_tol) && + (std::abs(misfit_last1 - misfit_last2) / + min(misfit_last1, misfit_last2) < + stag_tol) && + j > 1) + { + std::cout << " Misfit stagnates, go to next Gauss-Newton iteration." + << endl; + break; + } + if (misfit > misfit_last1 && misfit_last1 > misfit_last2 && j > 1) + { + std::cout + << " Misfit starts to increase, go to next Gauss-Newton iteration." + << endl; + break; + } + else + { + // cout << "Reduce lambda" << endl; + lambda = lambda * lambda_decreasing_rate; + + if (Lp_s != 2) + { + Wsm_m0 = Ws * (m_opt - m0); + for (int ir = 0; ir < Nm; ir++) + { + WL_s.coeffRef(ir, ir) = + pow(Wsm_m0(ir) * Wsm_m0(ir) + epsilon2, -(2 - Lp_s) / 4.0); + } + } + if (Lp_x != 2) + { + Wxm = Wx * m_opt; + for (int ir = 0; ir < Nm; ir++) + { + WL_x.coeffRef(ir, ir) = + pow(Wxm(ir) * Wxm(ir) + epsilon2, -(2 - Lp_x) / 4.0); + } + } + if (Lp_y != 2) + { + Wym = Wy * m_opt; + for (int ir = 0; ir < Nm; ir++) + { + WL_y.coeffRef(ir, ir) = + pow(Wym(ir) * Wym(ir) + epsilon2, -(2 - Lp_y) / 4.0); + } + } + if (Lp_z != 2) + { + Wzm = Wz * m_opt; + for (int ir = 0; ir < Nm; ir++) + { + WL_z.coeffRef(ir, ir) = + pow(Wzm(ir) * Wzm(ir) + epsilon2, -(2 - Lp_z) / 4.0); + } + } + // for (int i = 0; i < Nm; i++) + // { + // WL_s.coeffRef(i, i) = + // pow(Wsm_m0(i) * Wsm_m0(i) + epsilon2, -(2 - Lp_s) / 4.0); + // WL_x.coeffRef(i, i) = + // pow(Wxm(i) * Wxm(i) + epsilon2, -(2 - Lp_x) / 4.0); + // WL_y.coeffRef(i, i) = + // pow(Wym(i) * Wym(i) + epsilon2, -(2 - Lp_y) / 4.0); + // WL_z.coeffRef(i, i) = + // pow(Wzm(i) * Wzm(i) + epsilon2, -(2 - Lp_z) / 4.0); + // } + + if ((Lp_t != 2) && (use_cross_gradient_constraint == true)) + { + + Txm = T_x * m_opt; + Tym = T_y * m_opt; + Tzm = T_z * m_opt; + for (int i = 0; i < Nm; i++) + { + WL_tx.coeffRef(i, i) = pow(Txm(i) * Txm(i) + epsilon2, -(2 - Lp_t) / 4.0); + WL_ty.coeffRef(i, i) = pow(Tym(i) * Tym(i) + epsilon2, -(2 - Lp_t) / 4.0); + WL_tz.coeffRef(i, i) = pow(Tzm(i) * Tzm(i) + epsilon2, -(2 - Lp_t) / 4.0); + } + } + + // A.middleRows(Nd, Nm) = sqrt(lambda) * WL_s * Ws; + // A.middleRows(Nd + Nm, Nm) = sqrt(lambda) * WL_z * Wz; + // A.middleRows(Nd + 2 * Nm, Nm) = sqrt(lambda) * WL_x * Wx; + // A.middleRows(Nd + 3 * Nm, Nm) = sqrt(lambda) * WL_y * Wy; + // if (use_cross_gradient_constraint == true) + // { + // A.middleRows(Nd + 4 * Nm, Nm) = this->a_crg * S_crg * T_z; + // A.middleRows(Nd + 5 * Nm, Nm) = this->a_crg * S_crg * T_x; + // A.middleRows(Nd + 6 * Nm, Nm) = this->a_crg * S_crg * T_y; + // } + + // b.segment(Nd, Nm) = sqrt(lambda) * WL_s * Ws_m0; + } + if (misfit < target_misfit) + { + break; + } + } + // lambda=lambda_opt; + m = m_opt; + misfit = misfit_opt; + + out_iteration_misfit << fixed << setw(25) << i + 1 << fixed << setw(25) + << ((j == n_lambda) ? n_lambda : (j + 1)) << scientific + << setw(25) << setprecision(14) << misfit << endl; + + if (record_process) + { + this->set_density_to_mesh(); + this->set_reference_model_to_mesh(); + +#ifdef USE_NETCDF + if (use_cross_gradient_constraint == true) + { + this->mesh.out_model_netcdf( + string("Structural_constraint_at_") + to_string(i) + string(".nc"), + 2, "crg", ""); + } + if (use_petrophysical_constraint == true) + { + this->mesh.out_model_netcdf(string("Converted_density_model_at_") + + to_string(i) + string(".nc"), + 1, "ref", ""); + } + + this->mesh.out_model_netcdf(string("result_at_") + to_string(i) + + string(".nc")); +#endif + this->mesh.out_model_vtk(string("result_at_") + to_string(i) + + string(".vtk")); + } + + if (misfit < target_misfit || i == GN_iter - 1) + { + if (misfit < target_misfit) + { + std::cout << "Stop iteration, because the target misift has been achieved" + << endl; + } + else if (i == GN_iter - 1) + { + std::cout << "Stop iteration, because the maximum iteration has been reached" + << endl; + } + std::cout << "Gauss-Newton iteration number:" << i + 1 << endl; + break; + } + + bool flag1 = abs(misfit - misfit_last_iteration) / + min(misfit, misfit_last_iteration) < + stag_tol; + if (c_refinement >= max_refinement_number && flag1) + { + std::cout << "Stop iteration, because the misfit stagnated" << endl; + std::cout << "Gauss-Newton iteration number:" << i + 1 << endl; + break; + } + + if ((c_refinement < max_refinement_number) && + (++i_between_refinement % interval_between_refinements == 0 || flag1)) + { + std::cout << "\n"; + i_between_refinement = 0; + ++c_refinement; + if (flag1) + { + std::cout << "Misfit stagnates, refine mesh ..." << endl; + } + else + { + std::cout << interval_between_refinements + << ((i_between_refinement == 1) ? string(" iteration has") + : string(" iterations have")) + << " passed since last refinement, refine mesh ..." << endl; + } + std::cout << c_refinement + << (c_refinement == 1 + ? ("st") + : (c_refinement == 2 + ? ("nd") + : (c_refinement == 3 ? ("rd") : ("th")))) + << " refinement." << endl + << endl; + + if (use_cross_gradient_constraint && use_petrophysical_constraint) + { + refine_mesh(refinement_percentage, *interpolator_m0s, *interpolator_m0); + // std::cout<<"stop here"<set_Tmatrix(); + if (Lp_t != 2) + { + Txm = T_x * m; + Tym = T_y * m; + Tzm = T_z * m; + for (int i = 0; i < Nm; i++) + { + WL_tx.coeffRef(i, i) = pow(Txm(i) * Txm(i) + epsilon2, -(2 - Lp_t) / 4.0); + WL_ty.coeffRef(i, i) = pow(Tym(i) * Tym(i) + epsilon2, -(2 - Lp_t) / 4.0); + WL_tz.coeffRef(i, i) = pow(Tzm(i) * Tzm(i) + epsilon2, -(2 - Lp_t) / 4.0); + } + } + } + + // b.resize(nrow, 1); + // b.setZero(); + // b.head(Nd) = Wd * dobs; + + P.resize(Nm, Nm); + P.setZero(); + P.reserve(Nm); + P.data().squeeze(); + + delta_x.resize(Nm, 1); + m_trial.resize(Nm, 1); + } + // std::cout << i << endl; + } + if (i == GN_iter) + { + std::cout << "Gauss-Newton iteration number:" << GN_iter << endl; + } + + this->set_density_to_mesh(); + + final_lambda = lambda; + final_misfit = misfit; + std::cout << "Lambda=" << lambda << ", "; + std::cout << "Misfit=" << misfit << endl; +} + +void GaussNewtonInversion::set_CG_parameter(double cg_tol_, + double cg_iteration_factor_) +{ + cg_tol = cg_tol_; + cg_iteration_factor_ = abs(cg_iteration_factor_); + this->cg_iteration_factor = cg_iteration_factor_; +} + +void GaussNewtonInversion::display_inversion_parameters() const +{ + display_info_fields(); + std::cout << endl; + + std::cout << "alpha_s=" << a_s << endl; + std::cout << "alpha_z=" << a_z << endl; + std::cout << "alpha_x=" << a_x << endl; + std::cout << "alpha_y=" << a_y << endl; + + cout << "alpha_crg=" << a_crg << endl; + // cout << endl; + + if (use_wavelet) + { + cout << endl + << "Wavelet transform is used to accelerate the computation. The " + "relative threshold is " + << compression_threshold << endl; + } + + cout << endl; + cout << "Maximum regularizaton parameter is " << max_lambda << endl; + cout << "Maximum number of regularization parameters (lambda) used for " + "trials: " + << n_lambda << endl + << endl; + + cout << "Target misfit is " << target_misfit << endl; + + cout << "Stagnation factor is " << stag_tol + << " (the inversion stagnate when the relative difference of misfits " + "at " + "2 consecutive iterations is smaller than this factor)" + << endl; + + cout << endl; + if (cg_iteration_factor < 1) + { + cout << "Maximum number of iterations of the conjugate gradient method is " + << cg_iteration_factor * 100 << "% of the element number" << endl; + } + else + { + cout << "Maximum number of iterations of the conjugate gradient method is " + << cg_iteration_factor << endl; + } + cout << "Tolerance value for the conjugate gradient method is " << cg_tol + << endl; + cout << endl; + + cout << "Maximum number of Gauss-Newton iterations: " << GN_iter << endl; + + cout << "Model density contrast limits: " + << "[" << m_min.minCoeff() << ", " << m_max.maxCoeff() << "]" + << "kg/m3" << endl; + + if (max_refinement_number > 0) + { + cout << endl; + cout << "The inversion mesh will be adaptively refined at every " + << interval_between_refinements << " iteration." << endl; + cout << "The mesh may be refined for " << max_refinement_number + << " times AT MOST!" << endl; + cout << "For each time of refinement, " << refinement_percentage * 100 + << "% of cells are marked for refinement. BUT the exact number of " + "cells that are refined might be different from this number " + "because the " + "refinement conditions imposed in the algorithm (i.e. cells " + "smaller than the specified minimum " + "size cannot be refined; the maximum difference in the levels of " + "adjacent elements in " + "the tree must not exceed 1)." + << endl + << endl; + cout << "Cells smaller than (dx=" << min_dx << "m, dy=" << min_dy + << "m, dz=" << min_dz << "m) cannot be refined" << endl; + } + else + { + cout << endl; + cout << "The inversion mesh will not be refined." << endl; + } + cout << "Will the inversion model be recorded at each iteration?"; + if (record_process == 1) + { + cout << " Yes" << endl; + } + else + { + cout << " No" << endl; + } + cout << endl; + cout << "Use cross-gradient constraint model? " + << ((use_cross_gradient_constraint == true) ? ("Yes") : ("No")) << endl; + cout << "Use petrophysical constraint model? " + << ((use_petrophysical_constraint == true) ? ("Yes") : ("No")) << endl; + cout << endl; +} + +VectorXd GaussNewtonInversion::solve_cg(const double tol, + const int &maxit, + double &err, + int &iterations, + const double &lambda, + const VectorXd &mk, + const VectorXd &mref, + const SMatrix &Wd, + const VectorXd &dobs, + const SMatrix &P, + const SMatrix &Ws, + const SMatrix &Wx, + const SMatrix &Wy, + const SMatrix &Wz, + const SMatrix &Tx0, + const SMatrix &Ty0, + const SMatrix &Tz0, + const SMatrix &WL_s, + const SMatrix &WL_x, + const SMatrix &WL_y, + const SMatrix &WL_z, + const SMatrix &WL_tx, + const SMatrix &WL_ty, + const SMatrix &WL_tz) +{ + SMatrix Tz; + SMatrix Tx; + SMatrix Ty; + if (use_cross_gradient_constraint) + { + Tz = this->a_crg * S_crg * Tz0; + Tx = this->a_crg * S_crg * Tx0; + Ty = this->a_crg * S_crg * Ty0; + } + int nrow = + (use_cross_gradient_constraint == true) ? (Nd + 7 * Nm) : (Nd + 4 * Nm); + VectorXd s(nrow); + s.setZero(); + VectorXd dx(Nm); + dx.setZero(); + VectorXd b(nrow); + + VectorXd Gmk; + this->G_vec_mul(mk, Gmk); + b.segment(0, Nd) = Wd * (dobs - Gmk); + b.segment(Nd, Nm) = -sqrt(lambda) * WL_s * Ws * (mk - mref); + b.segment(Nd + Nm, Nm) = -sqrt(lambda) * WL_z * Wz * mk; + b.segment(Nd + 2 * Nm, Nm) = -sqrt(lambda) * WL_x * Wx * mk; + b.segment(Nd + 3 * Nm, Nm) = -sqrt(lambda) * WL_y * Wy * mk; + if (use_cross_gradient_constraint == true) + { + b.segment(Nd + 4 * Nm, Nm) = -WL_tz * Tz * mk; + b.segment(Nd + 5 * Nm, Nm) = -WL_tx * Tx * mk; + b.segment(Nd + 6 * Nm, Nm) = -WL_ty * Ty * mk; + } + s = -b; + VectorXd r(Nm); + VectorXd vec1(Nm); + VectorXd vec2(Nm); + VectorXd vec3(Nm); + VectorXd vec4(Nm); + VectorXd vec5(Nm); + VectorXd vec6(Nm); + VectorXd vec7(Nm); + VectorXd vec8(Nm); + r.setZero(); + + VectorXd Wds = Wd * s.segment(0, Nd); + VectorXd GTwds; + this->GT_vec_mul(Wds, GTwds); +#pragma omp parallel sections + { +#pragma omp section + { + vec1 = P * GTwds; + vec2 = sqrt(lambda) * P * Ws.transpose() * WL_s.transpose() * s.segment(Nd, Nm); + } +#pragma omp section + { + vec3 = sqrt(lambda) * P * Wz.transpose() * WL_z.transpose() * s.segment(Nd + Nm, Nm); + vec4 = sqrt(lambda) * P * Wx.transpose() * WL_x.transpose() * + s.segment(Nd + 2 * Nm, Nm); + } +#pragma omp section + { + vec5 = sqrt(lambda) * P * Wy.transpose() * WL_y.transpose() * + s.segment(Nd + 3 * Nm, Nm); + if (use_cross_gradient_constraint == true) + { + vec6 = P * Tz.transpose() * WL_tz.transpose() * s.segment(Nd + 4 * Nm, Nm); + vec7 = P * Tx.transpose() * WL_tx.transpose() * s.segment(Nd + 5 * Nm, Nm); + vec8 = P * Ty.transpose() * WL_y.transpose() * s.segment(Nd + 6 * Nm, Nm); + } + } + } +#pragma omp parallel for + for (int k = 0; k < Nm; k++) + { + r(k) = vec1(k) + vec2(k) + vec3(k) + vec4(k) + vec5(k); + if (use_cross_gradient_constraint == true) + { + r(k) = r(k) + vec6(k) + vec7(k) + vec8(k); + } + } + double beta = 0.0; + VectorXd p(Nm); + p.setZero(); + VectorXd t(nrow); + t.setZero(); + double alpha = 0.0; + VectorXd r_last(Nm); + VectorXd ATb(Nm); + ATb.setZero(); + // VectorXd Wdb = Wd * s.segment(0, Nd); + VectorXd Wdb = Wd * b.segment(0, Nd); + VectorXd GTwdb; + this->GT_vec_mul(Wdb, GTwdb); + ATb += P * GTwdb; + ATb += sqrt(lambda) * P * Ws.transpose() * WL_s.transpose() * b.segment(Nd, Nm); + ATb += sqrt(lambda) * P * Wz.transpose() * WL_z.transpose() * b.segment(Nd + Nm, Nm); + ATb += sqrt(lambda) * P * Wx.transpose() * WL_x.transpose() * b.segment(Nd + 2 * Nm, Nm); + ATb += sqrt(lambda) * P * Wy.transpose() * WL_y.transpose() * b.segment(Nd + 3 * Nm, Nm); + if (use_cross_gradient_constraint == true) + { + ATb += P * Tz.transpose() * WL_tz.transpose() * b.segment(Nd + 4 * Nm, Nm); + ATb += P * Tx.transpose() * WL_tx.transpose() * b.segment(Nd + 5 * Nm, Nm); + ATb += P * Ty.transpose() * WL_ty.transpose() * b.segment(Nd + 6 * Nm, Nm); + } + int i; + double r2, t2, rlast2, ATb2; + VectorXd Pp; + VectorXd GPp; + + ATb2 = 0; +#pragma omp parallel for reduction(+ : ATb2) + for (int k = 0; k < Nm; ++k) + { + ATb2 += ATb(k) * ATb(k); + } + for (i = 0; i < maxit; i++) + { + p = -r + beta * p; + // t=A*p + Pp = P * p; + +#pragma omp parallel sections + { +#pragma omp section + { + this->G_vec_mul(Pp, GPp); + // t.segment(0, Nd) = Wd * G * P * p; + t.segment(0, Nd) = Wd * GPp; + // t.segment(Nd, Nm) = sqrt(lambda) * Ws * P * p; + } +#pragma omp section + { + t.segment(Nd, Nm) = sqrt(lambda) * Ws * Pp; + t.segment(Nd + Nm, Nm) = sqrt(lambda) * WL_z * Wz * Pp; + } +#pragma omp section + { + t.segment(Nd + 2 * Nm, Nm) = sqrt(lambda) * WL_x * Wx * Pp; + t.segment(Nd + 3 * Nm, Nm) = sqrt(lambda) * WL_y * Wy * Pp; + if (use_cross_gradient_constraint == true) + { + t.segment(Nd + 4 * Nm, Nm) = WL_z * Tz * Pp; + t.segment(Nd + 5 * Nm, Nm) = WL_x * Tx * Pp; + t.segment(Nd + 6 * Nm, Nm) = WL_y * Ty * Pp; + } + } + } + r2 = 0; +#pragma omp parallel for reduction(+ : r2) + for (int k = 0; k < Nm; ++k) + { + r2 += r(k) * r(k); + } + + t2 = 0; +#pragma omp parallel for reduction(+ : t2) + for (int k = 0; k < nrow; ++k) + { + t2 += t(k) * t(k); + } + // alpha = r.transpose() * r; + // alpha /= t.transpose() * t; + alpha = r2 / t2; +#pragma omp parallel for + for (int k = 0; k < Nd; k++) + { + s(k) += alpha * t(k); + } +#pragma omp parallel for + for (int k = 0; k < Nm; k++) + { + dx(k) += alpha * p(k); + // s(k) += alpha * t(k); + s(k + Nd) += alpha * t(k + Nd); + s(k + Nd + Nm) += alpha * t(k + Nd + Nm); + s(k + Nd + 2 * Nm) += alpha * t(k + Nd + 2 * Nm); + s(k + Nd + 3 * Nm) += alpha * t(k + Nd + 3 * Nm); + // s(k + Nd + 4 * Nm) += alpha * t(k + Nd + 4 * Nm); + } + if (use_cross_gradient_constraint == true) + { +#pragma omp parallel for + for (int k = 0; k < Nm; k++) + { + s(k + Nd + 4 * Nm) += alpha * t(k + Nd + 4 * Nm); + s(k + Nd + 5 * Nm) += alpha * t(k + Nd + 5 * Nm); + s(k + Nd + 6 * Nm) += alpha * t(k + Nd + 6 * Nm); + } + } + + // dx += alpha * p; + // s += alpha * t; + + r_last = r; + r.setZero(); + Wds = Wd * s.segment(0, Nd); + this->GT_vec_mul(Wds, GTwds); + // r += P * G.transpose() * Wd * s.segment(0, Nd); +#pragma omp parallel sections + { +#pragma omp section + { + vec1 = P * GTwds; + vec2 = sqrt(lambda) * P * Ws.transpose() * WL_s.transpose() * s.segment(Nd, Nm); + } +#pragma omp section + { + vec3 = + sqrt(lambda) * P * Wz.transpose() * WL_z.transpose() * s.segment(Nd + Nm, Nm); + vec4 = sqrt(lambda) * P * Wx.transpose() * WL_x.transpose() * + s.segment(Nd + 2 * Nm, Nm); + } +#pragma omp section + { + vec5 = sqrt(lambda) * P * Wy.transpose() * WL_y.transpose() * + s.segment(Nd + 3 * Nm, Nm); + if (use_cross_gradient_constraint == true) + { + vec6 = P * Tz.transpose() * WL_tz.transpose() * s.segment(Nd + 4 * Nm, Nm); + vec7 = P * Tx.transpose() * WL_tx.transpose() * s.segment(Nd + 5 * Nm, Nm); + vec8 = P * Ty.transpose() * WL_ty.transpose() * s.segment(Nd + 6 * Nm, Nm); + } + } + } +#pragma omp parallel for + for (int k = 0; k < Nm; k++) + { + r(k) = vec1(k) + vec2(k) + vec3(k) + vec4(k) + vec5(k); + if (use_cross_gradient_constraint == true) + { + r(k) = r(k) + vec6(k) + vec7(k) + vec8(k); + } + } + rlast2 = r2; + r2 = 0.0; +#pragma omp parallel for reduction(+ : r2) + for (int k = 0; k < Nm; ++k) + { + r2 += r(k) * r(k); + } + // beta = r.transpose() * r; + // beta /= r_last.transpose() * r_last; + // err = r.dot(r) / ATb.dot(ATb); + beta = r2 / rlast2; + err = r2 / ATb2; + + if (err < tol) + { + iterations = i + 1; + break; + } + } + if (i == maxit) + { + iterations = maxit; + } + return dx; } \ No newline at end of file diff --git a/src/Inversion/GaussNewtonInversion.h b/src/Inversion/GaussNewtonInversion.h index e60c7432..4c988e41 100644 --- a/src/Inversion/GaussNewtonInversion.h +++ b/src/Inversion/GaussNewtonInversion.h @@ -10,8 +10,13 @@ class GaussNewtonInversion : public AdaptiveInversion cg_tol(1e-6), stag_tol(0.025), GN_iter(10), - Lp(2), - epsilon2(1e-9) {} + Lp_s(2), + Lp_x(2), + Lp_y(2), + Lp_z(2), + Lp_t(2), + epsilon2(1e-9), + method_id(1) {} GaussNewtonInversion(const Mesh &mesh_, const Observation &ob_, unsigned long long field_flag_) @@ -20,12 +25,20 @@ class GaussNewtonInversion : public AdaptiveInversion cg_tol(1e-6), stag_tol(0.025), GN_iter(10), - Lp(2), - epsilon2(1e-9) {} + Lp_s(2), + Lp_x(2), + Lp_y(2), + Lp_z(2), + Lp_t(2), + epsilon2(1e-9), + method_id(1) {} void invert() override; + void invert_with_Eigen_CG(); + void invert_with_own_CG(); void record_every_iteration() { this->record_process = true; } + void set_method_id(int method_id0) { this->method_id = method_id0; } // when cg_iteration_factor is greater than 1, it's the iteration // number of conjugate gradient method; when it's lower than 1, CG @@ -35,22 +48,67 @@ class GaussNewtonInversion : public AdaptiveInversion void set_max_GN_iterations(int x) { GN_iter = x; } void set_Lp_inversion_parameter(int Lp_, double epsilon2_) { - this->Lp = Lp_; + + this->Lp_s = Lp_; + this->Lp_x = Lp_; + this->Lp_y = Lp_; + this->Lp_z = Lp_; + this->Lp_t = Lp_; + this->epsilon2 = epsilon2_; + cout << "Lp_s: " << Lp_s << ", Lp_x: " << Lp_x << ", Lp_y: " << Lp_y << ", Lp_z: " << Lp_z << ", Lp_t: " << Lp_t << ", epsilon**2: " << epsilon2 << endl; + } + void set_Lp_inversion_parameter(int Lp_s_, int Lp_x_, int Lp_y_, int Lp_z_, int Lp_t_, double epsilon2_) + { + this->Lp_s = Lp_s_; + this->Lp_x = Lp_x_; + this->Lp_y = Lp_y_; + this->Lp_z = Lp_z_; + this->Lp_t = Lp_t_; this->epsilon2 = epsilon2_; + cout << "Lp_s: " << Lp_s << ", Lp_x: " << Lp_x << ", Lp_y: " << Lp_y << ", Lp_z: " << Lp_z << ", Lp_t" << Lp_t << ", epsilon**2: " << epsilon2 << endl; } + VectorXd solve_cg(const double tol, + const int &maxit, + double &err, + int &iterations, + const double &lambda, + const VectorXd &mk, + const VectorXd &mref, + const SMatrix &Wd, + const VectorXd &dobs, + const SMatrix &P, + const SMatrix &Ws, + const SMatrix &Wx, + const SMatrix &Wy, + const SMatrix &Wz, + const SMatrix &Tx0, + const SMatrix &Ty0, + const SMatrix &Tz0, + const SMatrix &WL_s, + const SMatrix &WL_x, + const SMatrix &WL_y, + const SMatrix &WL_z, + const SMatrix &WL_tx, + const SMatrix &WL_ty, + const SMatrix &WL_tz); void display_inversion_parameters() const; // void invert_Gauss_Newton_ada(int maxit1, int maxit2, int maxit3, VectorXd m_ini, // double tol1, double tol2, double stagnate_tol, double lambda0, int ada_level = 5, double percentage = 0.1, double damp = 0.7, double n = 1); protected: - int Lp; + int Lp_s; // Lp norm for distance from reference model + int Lp_x; // Lp norm for smoothness constraint + int Lp_y; // Lp norm for smoothness constraint + int Lp_z; // Lp norm for smoothness constraint + int Lp_t; // Lp norm for cross-gradient constraint double epsilon2; bool record_process; double cg_tol; // tolerance for conjugate gradient double cg_iteration_factor; // CG iteration number double stag_tol; // stagnation int GN_iter; // Gauss-Newton iteration number + int method_id; }; #endif \ No newline at end of file diff --git a/src/Inversion/InversionBase.cpp b/src/Inversion/InversionBase.cpp index bd3e36f6..41d8ee9f 100644 --- a/src/Inversion/InversionBase.cpp +++ b/src/Inversion/InversionBase.cpp @@ -695,7 +695,15 @@ void InversionBase::set_petrophysics_constraint( VectorXd InversionBase::get_predicted_field() { - VectorXd d_pre = (this->G) * (this->m); + VectorXd d_pre; + if (use_wavelet) + { + this->G_vec_mul(this->m, d_pre); + } + else + { + d_pre = (this->G) * (this->m); + } return d_pre; } @@ -728,6 +736,7 @@ void InversionBase::output_predicted_data(string out_name) void InversionBase::output_obs_data(string out_name) { // cout<dobs.rows()<dobs.size() << endl; this->out_data(this->dobs, out_name); } @@ -743,6 +752,7 @@ void InversionBase::out_data(const VectorXd &d, string out_name) field_label.push_back(i); } } + // cout << "1" << endl; int n_com = field_flag.count(); // number of used components int n_ob = ob.get_n_obs(); @@ -753,11 +763,13 @@ void InversionBase::out_data(const VectorXd &d, string out_name) assert(nd % n_ob == 0); assert(nd / n_ob == n_com); + // cout << "2" << endl; for (int j = 0; j < n_com; j++) { string file_name = out_name + "_" + strs[field_label[j]]; ofstream out_s(file_name); + // cout << "3" << endl; for (int i = 0; i < n_ob; i++) { const Point &p = ob(i);