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229 Commits
Author SHA1 Message Date
D Fournier 71098a01b5 Allow to forward G data without storing the kernel. Add figure-axes options to plot data function 2016-07-12 06:36:25 -07:00
D Fournier b13b36dcb8 Small updates to the function call 2016-07-01 13:51:47 -07:00
D Fournier 66ee0f0422 Merge branch 'dev' into pf/dev
Conflicts:
	.gitignore
	SimPEG/Examples/__init__.py
2016-06-30 13:55:57 -07:00
SEOGI KANG 4796b0f91f Merge pull request #357 from simpeg/analytics
Analytics
2016-06-30 00:25:28 -07:00
seogi_macbook 52b25e2dc5 Merge branch 'dev' of https://github.com/simpeg/simpeg into analytics 2016-06-30 00:23:12 -07:00
seogi_macbook a289b656cd Fixes for kwargs variables in FDEMDipolarfields.py 2016-06-29 13:09:11 -07:00
Lindsey Heagy 334cd8e454 Bump version: 0.1.11 → 0.1.12 2016-06-29 09:49:29 -07:00
Lindsey Heagy ecbdd90f63 Merge pull request #354 from simpeg/dev
Two new examples.
2016-06-29 09:46:33 -07:00
dfournier 394dc9106a Merge pull request #332 from simpeg/ref/regularization
Automate the epsilon picking based on percentile of model values for …
2016-06-29 08:39:29 -07:00
seogi_macbook eda2394411 fix bug for omega. 2016-06-27 13:04:30 -07:00
Rowan Cockett 3deca9ed77 Merge pull request #351 from simpeg/example/mesh2mesh
Mesh2Mesh and Combo Map examples.
2016-06-26 21:22:28 -06:00
Rowan Cockett ba173674ec Mesh2Mesh and Combo Map examples.
Also fixed plotting codes to show the plots by default.
2016-06-26 17:07:07 -06:00
Rowan Cockett 303da372aa Merged branch master into dev 2016-06-26 16:31:24 -06:00
Rowan Cockett 6d6e7fc8bd Merge pull request #350 from simpeg/fix/docs-images
Update index.rst
2016-06-26 16:30:29 -06:00
Rowan Cockett 8ed3ec18fa Update README.rst 2016-06-26 16:29:20 -06:00
Rowan Cockett 8e944078c8 Merged branch dev into pf/dev 2016-06-26 16:25:13 -06:00
Rowan Cockett 3960cfc313 Update index.rst 2016-06-26 16:17:30 -06:00
Rowan Cockett 2eba0b841f Merge pull request #338 from simpeg/dev
Dev
2016-06-26 14:01:03 -06:00
sgkang c79bb998cb Merge pull request #348 from simpeg/analytics
fix minor bugs in analytics (just for binder deploy)
2016-06-23 14:14:29 -07:00
seogi_macbook 0763925743 fix minor bugs in analytics 2016-06-23 14:12:49 -07:00
sgkang 1a0b81a206 Merge pull request #341 from simpeg/analytics
Analytics
2016-06-23 11:33:33 -07:00
seogi_macbook 8b44f8d96b change FDEM_fields.py to FDEMDipolarfield.py 2016-06-23 10:14:13 -07:00
seogi_macbook 2bfd01ed7c Merge branch 'dev' of https://github.com/simpeg/simpeg into analytics 2016-06-23 10:09:56 -07:00
seogi_macbook e1ba80883d Incorporate Lindsey's suggestoins 2016-06-23 09:10:50 -07:00
Rowan Cockett 64108eb36d Updates to the asset folder location. 2016-06-22 12:38:19 -06:00
Rowan Cockett a79fc7456d Change headers in docs. 2016-06-22 12:27:05 -06:00
Rowan Cockett 4074c67bcf Initial merge and minor refactor of simpegPF. 2016-06-22 12:25:08 -06:00
Rowan Cockett a54713f546 Change to NotImplementedError. 2016-06-22 11:32:54 -06:00
Rowan Cockett 0d8fa20257 Minor path cleanup. 2016-06-22 11:30:46 -06:00
Rowan Cockett 8d3a710d92 Updates to testing the boundary conditions. 2016-06-22 11:29:04 -06:00
Rowan Cockett bf2035425c Add ploting code. 2016-06-22 11:26:17 -06:00
Rowan Cockett 31e7bcb3f0 Analytic test 2016-06-22 11:24:46 -06:00
Rowan Cockett f216b6a748 Name change for problem. 2016-06-22 11:19:11 -06:00
Rowan Cockett 9336b821da Delete MagSurveyIE.py 2016-06-22 11:16:51 -06:00
Rowan Cockett d7dad2fe60 Delete Ex_sir_Wathen.py 2016-06-22 11:15:54 -06:00
D Fournier 7dd0b1b2df Latest updates in preparation for merge with SimPEG 2016-06-22 09:59:50 -07:00
Lindsey Heagy ef382aed85 Merge branch 'master' into dev 2016-06-21 18:43:28 -06:00
seogi_macbook 1b33804e5a Merge branch 'dev' of https://github.com/simpeg/simpeg into analytics 2016-06-21 11:15:23 -07:00
seogi_macbook c161c5eab2 Merge branch 'master' of https://github.com/simpeg/simpeg into analytics 2016-06-21 11:14:56 -07:00
micmitch f0944362c8 Silly mistake... needed zero arrays instead of scalars. 2016-06-14 15:22:36 -07:00
micmitch e815ddaec7 Removed d typos from the end of function names. 2016-06-14 15:15:53 -07:00
Lindsey 64b0b4561f Merge pull request #337 from simpeg/feat/docs-gae-travis-deploy
Feat/docs gae travis deploy
2016-06-13 19:16:22 -06:00
micmitch b9d30af4a8 Changed \sigma to \hat{\sigma} = \sigma + i \omega \epsilon in the E field calculations. 2016-06-13 17:47:46 -07:00
micmitch 093f441331 Added functions to split electric field into "galvanic" and "inductive" portions. 2016-06-13 17:35:52 -07:00
seogi_macbook 5e3c1da8e2 add place holder for galvanic and inductive electric fields... 2016-06-13 16:41:59 -07:00
seogi_macbook a3a5c86008 Fix couple bugs in FDEM analytics 2016-06-11 21:58:03 +02:00
Lindsey Heagy 7a82f57367 - doc the simple regularization, sparse regularization and regularization mesh
- typo fix in MT_3D_Forward example - Solver
- use EM.Static.DC for DC example
2016-06-11 08:16:22 -07:00
Lindsey Heagy 845c3c10ab version on travis commit 2016-06-11 07:48:24 -07:00
Lindsey Heagy c4d86b4a29 Merge branch 'dev' into feat/docs-gae-travis-deploy 2016-06-11 07:14:00 -07:00
Lindsey Heagy 3fc855f3c9 only push on master 2016-06-10 20:50:41 -07:00
Lindsey Heagy fea508a507 fix path to app.yaml 2016-06-10 19:39:02 -07:00
Lindsey Heagy 5ca52cf49f linting travis deploy of docs 2016-06-10 19:14:24 -07:00
Lindsey Heagy 7a06453c42 editing travis deploy 2016-06-10 18:54:31 -07:00
Lindsey Heagy 291da78b97 try deploying only from docs branch 2016-06-10 15:16:56 -07:00
D Fournier 375a18c53a Add Active cell input file. Allow for Inactive, Active-Static and Active-Dynamic cells [0, 1, -1]
Fix MAG and GRAV test scripts.
2016-06-06 12:29:23 -07:00
D Fournier ef12a3674a Automate the epsilon picking based on percentile of model values for DEFAULT mode. Fix example.
Fix bug with Maps using array of values
2016-06-06 12:28:01 -07:00
Lindsey Heagy 504592c8de travis typo fixes 2016-06-01 08:12:21 -07:00
Lindsey Heagy 75647f8fc3 first pass at gae deploy 2016-06-01 00:00:27 -07:00
Lindsey Heagy e3462666bd working on travis decrypt 2016-05-31 23:27:32 -07:00
Lindsey Heagy fb37bf0fe2 move unpacking of credentials to after success, point credentials to docs folder 2016-05-31 23:15:50 -07:00
Lindsey Heagy b023adbb33 add encrypted credentials for gae site and decrypt on travis 2016-05-31 23:03:55 -07:00
Lindsey Heagy 279bd49b4c Bump version: 0.1.10 → 0.1.11 2016-05-31 15:38:05 -07:00
Lindsey Heagy 3398d5ab4d use templates in conf.py, add google analytics to docs 2016-05-31 15:33:19 -07:00
Lindsey 3e26bb7de9 Merge pull request #277 from simpeg/dev
Dev
2016-05-31 15:11:29 -07:00
Lindsey Heagy 01e19e4227 start of gae site 2016-05-30 22:01:15 -07:00
Lindsey Heagy 9fbdaaf0a5 fix typo in examples path 2016-05-30 21:12:31 -07:00
Lindsey Heagy 2a159e20b9 update docs for examples to point to the correct path 2016-05-30 20:34:10 -07:00
D Fournier 7f7ce5e25b Add driver for gravity. Adapt example for new Regularization formulation 2016-05-30 17:35:47 -07:00
Lindsey Heagy 5e8d3fbc78 organizing the docs - put the content in a content folder. put the SimPEG core api docs in core_api 2016-05-30 17:06:29 -07:00
Lindsey Heagy 414418a996 Merge branch 'dev' into feat/docs-deploy
# Conflicts:
#	SimPEG/Mesh/View.py
2016-05-30 15:56:24 -07:00
Rowan Cockett 40f0874dfb Doc testing, I think that is most of them! 2016-05-29 22:18:22 -07:00
Rowan Cockett 231e6dbc93 Suppress image warning. 2016-05-29 19:22:15 -07:00
Rowan Cockett 18f98b2ecd Merge branch 'docs' of https://github.com/simpeg/simpeg into feat/docs-deploy
# Conflicts:
#	SimPEG/Utils/meshutils.py
#	docs/api_Utils.rst
#	docs/conf.py
#	docs/flow/index.rst
2016-05-29 19:18:36 -07:00
Rowan Cockett bc073e49b5 Updates to docs errors. 2016-05-29 18:57:38 -07:00
Rowan Cockett a131383dae Correct solver location. 2016-05-29 18:35:41 -07:00
Rowan Cockett ad4a0240d1 Remove Vertical1DMap from tests. 2016-05-29 18:34:17 -07:00
Rowan Cockett 74f5395573 Surject1D updates. 2016-05-29 18:25:42 -07:00
Rowan Cockett 6f7a0b1279 Rename Vertical1DMap to SurjectVertical1D due to depreciation. 2016-05-29 18:14:42 -07:00
Rowan Cockett e2bb9c8d8e rename flow example. 2016-05-29 18:12:52 -07:00
Rowan Cockett de693adaa7 Minor updates to get it 'working'
There still seems to be a problem with this example:

	- The line search breaks.
	- The plots are not informative.
	- There are a lot of errors in the structured array codes.
2016-05-29 18:04:09 -07:00
Rowan Cockett fc07993006 Spacings in functions. 2016-05-29 18:03:03 -07:00
Rowan Cockett 12a12c7b5a updates to FDEM docs. 2016-05-29 17:51:41 -07:00
Rowan Cockett 0b4215f33e Add DC and IP docs. 2016-05-29 17:45:49 -07:00
Rowan Cockett 5e2a8232a3 Minor updates to titles in examples. 2016-05-29 17:21:37 -07:00
Rowan Cockett feba384911 Add solver parameter to the Casing example. 2016-05-29 17:08:11 -07:00
Rowan Cockett 4844b7230a TOC updates for docs index. 2016-05-29 17:05:42 -07:00
D Fournier f1eaac7cd0 Small changes to Example 2016-05-29 14:14:00 -07:00
D Fournier 90fb125521 Adapt MAG code for refactor IRLS iterations 2016-05-28 11:25:27 -07:00
micmitch 1960b52dfd First stab at analytic functions for the fields from a harmonic electric dipole source. Not sure about the exception that I try to throw if multiple frequencies and multiple evaluation locations are both specified. 2016-05-27 14:56:48 -07:00
seogi_macbook 28d67e3112 Start of ED !! 2016-05-27 11:26:47 -07:00
D Fournier e4998d0bb9 Update example for constrained and compact-constrained MAG inversion 2016-05-05 12:37:03 -07:00
D Fournier fd5e56202a New Example script to have inactive cells in the inversion 2016-05-04 16:02:28 -07:00
Rowan Cockett c32abd215c Merge pull request #7 from simpeg/ref/merge
Driver File
2016-04-29 17:16:53 -07:00
Rowan Cockett 64610d3a0a Merge branch 'Dom' of https://github.com/simpeg/simpegPF into ref/merge
# Conflicts:
#	simpegPF/Dev/MAG/Intgrl_MAG_Inv_Driver.py
2016-04-29 17:12:57 -07:00
Rowan Cockett b01b14efb9 Rename to mad driver 2016-04-29 16:58:09 -07:00
Rowan Cockett 8bbc70228d Rename to Problem3D_Integral 2016-04-29 16:06:08 -07:00
Rowan Cockett 47cf1151e3 updates to headers. 2016-04-29 16:03:14 -07:00
Rowan Cockett 7ad1b6f5aa put main script at end. 2016-04-29 15:53:08 -07:00
Rowan Cockett 73b6316962 Separate out the input files. 2016-04-29 15:49:49 -07:00
D Fournier 6a3d0e4ffe Updated drivers. Clean version 2016-04-29 15:08:12 -07:00
Rowan Cockett a45e1fb0fd Remove gocad and surfaces, use mesh_io utils in SimPEG 2016-04-29 14:22:00 -07:00
D Fournier 363236394b Update Directives in Tutotial MAG 2016-04-29 13:04:57 -07:00
D Fournier c40b9a9add Merge branch 'Dom'
Conflicts:
	simpegPF/Dev/model.png
	simpegPF/Dev/obspred.png
2016-04-29 11:05:45 -07:00
D Fournier 4c1a893109 Add Update_Beta directive. Minor changes to the example 2016-04-29 11:03:05 -07:00
D Fournier 5bd2805e45 Add gravity example. Add Mag_parametric script 2016-04-22 15:24:22 -07:00
D Fournier 3bb71f0fd4 Update grav code and example 2016-04-18 12:53:11 -07:00
D Fournier c61da61061 Change u for f (field) in Jvec and Jtvec.
Update the Notebook in preperation for example.
2016-04-07 10:23:40 -07:00
Lindsey Heagy 756b738ef2 Merge branch 'dev' into docs 2016-04-05 17:47:17 -07:00
D Fournier 0578e1ff6c Change to source parameters
Add color axis handles for data plot
2016-04-03 17:23:24 -07:00
Lindsey Heagy 021e7c794c Merge branch 'master' into docs
# Conflicts:
#	SimPEG/Mesh/TensorMesh.py
2016-03-29 22:53:16 -07:00
D Fournier 03dd9915b7 First commit for GRAV3D
Add example for mag
Add example for grav
2016-03-16 17:10:30 -07:00
D Fournier c70256d028 Minor change to lp norms 2016-03-16 11:54:56 -07:00
D Fournier b55897453e Create example for Craig and add Driver script 2016-03-16 11:53:27 -07:00
seogi_macbook 241dc83354 Merge branch 'master' of https://github.com/simpeg/simpegpf
Conflicts:
	simpegPF/notebooks/MagInversion.ipynb
	simpegPF/notebooks/tutorials/Tutorial_1_Mag forward modeling.ipynb
2016-03-15 00:13:52 -07:00
seogi_macbook 0cbda152ec temporary commit 2016-03-15 00:13:07 -07:00
D Fournier ceffc0b53f Major overhaul of Survey and Problem class.
Create SrcField and RxObs
retrotfit I/O to use survey
Forward matrix as property
Inversion running again but needs cleanup
2016-03-14 22:06:24 -07:00
Lindsey Heagy b5b70390cb Merge branch 'dev' into docs 2016-03-06 21:50:27 -08:00
D Fournier 000e227ea4 Minor change 2016-03-06 16:56:39 -08:00
D Fournier d2db56337a Updated notebook example 2016-03-06 16:53:46 -08:00
D Fournier c977a16b9e Adapt Mag Problem for topography 2016-02-25 08:57:55 -08:00
Lindsey Heagy 6acaa81faf fixed merge conflicts in FDEM docs that I missed 2016-02-09 09:03:20 -08:00
Lindsey Heagy 312b5d79c5 resolved merge conflicts in TensorMesh 2016-02-09 08:53:01 -08:00
Lindsey Heagy 999a37547e Merge branch 'dev' into docs
# Conflicts:
#	.travis.yml
#	SimPEG/EM/FDEM/FDEM.py
#	SimPEG/Mesh/TensorMesh.py
2016-02-09 08:32:41 -08:00
D Fournier 6ba2cb549c Clean up examples 2016-02-09 08:13:37 -08:00
Lindsey Heagy cbe8758465 corrected scipy.sparse.csr_matrix, move size descriptions to :return: instead of :type: 2016-02-01 08:22:00 -08:00
D Fournier 516522deda Save example for next time 2016-01-31 15:51:08 -08:00
D Fournier bb9624f4ff Implement sparse norm on mag problem.
Add Nutcracker example to folder.
2016-01-31 15:33:57 -08:00
Lindsey Heagy 6b359f49b5 docs clean-up (using autoclass is more stable than automodule) 2016-01-31 15:21:46 -08:00
Lindsey Heagy 2254eedbac indentations clean up in FDEM.py 2016-01-31 13:54:39 -08:00
Lindsey Heagy 012d2cadf1 use intersphinx mapping to get numpy, scipy, matplotlib, python inventories 2016-01-31 13:54:24 -08:00
Lindsey Heagy 841ba61006 clean up the html build 2016-01-31 13:22:36 -08:00
Lindsey Heagy 2874e204ee exclude _static from warnings 2016-01-31 12:52:42 -08:00
Lindsey Heagy adca273565 ignore nonlocal images in sphinx build 2016-01-31 12:46:24 -08:00
Lindsey Heagy d9d6f70958 better description of paths in test_docs 2016-01-31 12:45:51 -08:00
Lindsey Heagy f4ef767764 seperate out docs test so it runs independently (not on every test) 2016-01-31 12:08:29 -08:00
Lindsey Heagy e314bdb740 add sphinx to travis conda install 2016-01-31 11:06:47 -08:00
Lindsey Heagy e005ed8f5f use cd to get into docs directories for testing 2016-01-31 10:51:55 -08:00
Lindsey Heagy ac2e38e89d test docs first 2016-01-31 10:47:00 -08:00
Lindsey Heagy ade37fb493 add travis to docs. nit-picky testing on html, latex, link check 2016-01-31 09:51:57 -08:00
D Fournier 90838aa74b Implement sparse norm and test on nutcracker 2016-01-29 00:56:39 -08:00
D Fournier d718ffd3a3 Progress on 3D inversion using simple regularization. 2016-01-28 18:39:13 -08:00
D Fournier 45a5ab556e no message 2016-01-19 15:26:14 -08:00
D Fournier 6f508b0d27 Investigating problem with GNCG 2016-01-19 15:19:06 -08:00
D Fournier b2fc35ee75 Test script for multiple *.ts surfaces to block model (Lalor model) 2016-01-18 17:10:31 -08:00
D Fournier 6a7d72bf85 Work on Example and mesh refinement for MinSIM 2016-01-17 13:39:10 -08:00
D Fournier c3c96a5bd8 VTK example for surface to mesh model - Thanks Gudni! 2016-01-15 16:49:27 -08:00
D Fournier 44b7dd184f Fix merge conflicts and add read GOCAD triangulated surface file 2016-01-15 12:38:08 -08:00
D Fournier dc7b8607eb Fix merge conflicts 2016-01-15 10:56:30 -08:00
D Fournier e4e19ceac1 Merge branch 'Dom' of https://github.com/simpeg/simpegpf into Dom
Conflicts:
	simpegPF/Magnetics.py
2016-01-15 00:03:37 -08:00
D Fournier c0445e5db5 Modify Inv Integral function
Start example in a notebook
2016-01-15 00:01:24 -08:00
Rowan Cockett dbcd57bc4e Minor clean ups. 2016-01-11 18:35:19 -08:00
D Fournier 27900498c6 Add surface to mesh test
Fix forward function call
2016-01-11 16:40:28 -08:00
D Fournier 958c4d151a Test interpolation methods.
Attempt at using FFT to resample grid.
Need to can an FFT method for 2 grid ( pad, taper, resample, extract)
2016-01-04 12:29:28 -08:00
D Fournier 201fe6bf46 Implement active cell from topo and topocheck function 2015-12-29 16:11:16 -08:00
D Fournier 1a7656c34d Implement distance weighting for potential fields in BaseMag 2015-12-27 11:29:01 -08:00
D Fournier cbe3b3de42 Move sub functions to PF.Magnetics
Add Mag Integral forward operator
Begin Inversion script for magnetic integral
2015-12-21 13:11:46 -08:00
D Fournier d6a2490a7b Create function to generate linear forward operator (F)
Clean project
2015-12-21 08:42:50 -08:00
D Fournier e9f02e1d77 Finish test with analytical answer. O(h^2) error pass
Add function MagSphereFreeSpace in MagAnalytic. Same results as MagSphereAnaFunA but with z-observation flipped.
2015-11-27 16:08:21 -08:00
D Fournier 291cce9d52 Finish forward modeling in integral
Start test function.
2015-11-13 12:49:19 -08:00
D Fournier 6c71237328 Scripts added for the magnetic integral formulation 2015-11-10 14:23:29 -08:00
D Fournier 6174c6fece Start working on mag integral 2015-10-23 12:08:19 -07:00
D Fournier 7d516d2879 Change functions in the header and start a development branch. 2015-09-27 09:25:53 -07:00
Lindsey 80c839390c updated travis 2015-08-07 09:51:22 -07:00
Lindsey Heagy f416dfacf8 added myself to travis 2015-08-06 20:45:18 -07:00
Lindsey 3ae311c7b1 merge conflicts resolved 2015-08-06 16:42:38 -07:00
Lindsey 203640c803 for the sphere problem, the magnetic field values need to be calculated wrt the center of the sphere. analytics abbreviate to Ana 2015-08-06 16:40:19 -07:00
seogi_macbook 97d00effb6 Merge branch 'master' of https://github.com/simpeg/simpegpf 2015-05-15 16:04:20 -07:00
seogi_macbook e05221c6ea Modification for meshes 2015-05-15 16:03:41 -07:00
Lindsey Heagy 6afff26e04 abbreviate Analytic Ana 2015-05-10 17:04:34 -07:00
seogi 668e435cce Tutorial for Mag forward problem:
TOODs:

- Change code that we can implement SimPEG's solver class (Now use jacobi-bicgstab)
- Put linear forward problem
2015-01-28 10:58:07 -08:00
SEOGI KANG c769ac6d8d modify docs 2014-07-08 14:17:38 -07:00
SEOGI KANG ab1e639fbd Documentations 2014-07-04 22:29:28 -07:00
seogi d85ff18bd8 ss 2014-07-04 16:54:03 -07:00
seogi 0812f14acd modification for no congrous bc 2014-07-04 16:53:22 -07:00
seogi d1c34da5f0 archive 2014-07-04 16:50:00 -07:00
seogi d43caf092b Modifications for inversion 2014-07-04 14:34:39 -07:00
rowanc1 83a7a7bc12 name it correctly! 2014-07-03 13:45:19 -07:00
rowanc1 124108f84d add coverage in readme 2014-07-03 13:44:50 -07:00
rowanc1 64c9e8fce0 Coverage updates 2014-05-19 11:40:02 -07:00
Rowan Cockett 640457cf0b Merge pull request #5 from simpeg/MapChanges
Updates
2014-05-19 11:35:20 -07:00
rowanc1 e334d3efa9 Updates 2014-05-19 11:34:14 -07:00
Rowan Cockett 55f9f43c0e Merge pull request #4 from simpeg/MapChanges
Map changes
2014-04-15 16:03:18 -07:00
rowanc1 95f0cb9972 docs updates 2014-04-15 15:41:44 -07:00
rowanc1 1d5c3ced39 Fix derivatives. 2014-04-15 15:07:00 -07:00
rowanc1 cbefdd2e84 derivatives not yet working. 2014-04-15 14:59:25 -07:00
Lindsey Heagy e6e9616197 a couple typo fixes in the documentation 2014-04-05 11:20:14 -07:00
Lindsey Heagy a5f57d3a56 fixes a couple of minor typos 2014-04-05 10:32:50 -07:00
seogi 4b9304e476 Mag inversion 2014-03-13 12:33:18 -07:00
Rowan Cockett 4b7d5e1d32 Update api_PF.rst
Get rid of conflict
2014-03-12 23:08:58 -07:00
SEOGI KANG 0f63b0d6b6 Mag example 2014-03-12 22:34:20 -07:00
rowanc1 68021e0a42 Changed Data --> Survey 2014-03-07 14:07:47 -08:00
seogi 3f7a521833 Working codes 2014-03-03 10:50:26 -08:00
seogi 9c22a43759 commit test 2014-03-03 09:51:07 -08:00
seogi fbc69d4709 Commit test 2014-03-03 09:50:55 -08:00
seogi d3fc3d2058 test commit 2014-03-03 09:47:14 -08:00
SEOGI KANG 699c91f6d7 Initial work Mag inversion 2014-03-03 08:53:19 -08:00
seogi 18546d038b resolved conflicts 2014-02-28 16:44:12 -08:00
rowanc1 5816f75728 Hopefully fix problems with read the docs. 2014-02-27 15:26:10 -08:00
rowanc1 f83c84da81 Try fixing RTD 2014-02-27 09:33:48 -08:00
seogi ea0c4719fe added play notebook! 2014-02-27 09:15:41 -08:00
seogi 4c8741cd2e added git ignore 2014-02-27 09:15:41 -08:00
seogi 751d7098b6 Fix examples folder 2014-02-27 09:15:41 -08:00
SEOGI KANG 3cba7845ca Little work for jacobian 2014-02-27 08:10:37 -08:00
seogi bcfefde2da modified: simpegPF/notebooks/Jacobian.ipynb
modified:   simpegPF/Tests/test_forward_PFproblem.py
2014-02-26 17:28:48 -08:00
seogi 8232f94fcf Working for jacobian 2014-02-26 17:26:21 -08:00
seogi 004e225844 Documentation Mag 2014-02-26 16:56:11 -08:00
rowanc1 a253adcf4e slightly more complicated... lots of ToDos 2014-02-25 23:22:37 -08:00
rowanc1 c84a112ebc initial writing of the sensitivity (J) 2014-02-25 22:14:35 -08:00
rowanc1 fcb63d5078 make a positive definite 2014-02-25 20:57:48 -08:00
rowanc1 1fc9c0407c fixed plotting in documentation 2014-02-24 22:07:58 -08:00
rowanc1 a576c566d0 fixed imports 2014-02-24 22:00:56 -08:00
seogi e385b55674 First documentation 2014-02-24 16:59:00 -08:00
rowanc1 e662276cc1 mag work, forward problem running 2014-02-24 10:40:17 -08:00
rowanc1 5c8b6f4a21 updates to initial structure 2014-02-23 13:23:16 -08:00
rowanc1 3b97872601 Initial work on bringing mag into simpeg framework 2014-02-23 13:18:02 -08:00
SEOGI KANG 53146016ff Merge branch 'master' of https://github.com/simpeg/simpegpf 2014-02-23 12:03:54 -08:00
SEOGI KANG 0a9ed614a8 Some analytics and set up for forward problem 2014-02-23 12:00:14 -08:00
SEOGI KANG 2e6164c62e MagForwrad secondary and total 2014-02-23 11:57:51 -08:00
rowanc1 c9fa9aa23f update to develop branch 2014-02-21 21:55:27 -08:00
rowanc1 454a5f9f8c fixed travis. 2014-02-21 10:49:56 -08:00
rowanc1 6aebe56596 Merge branch 'master' of https://github.com/simpeg/simpegpf 2014-02-21 10:44:55 -08:00
rowanc1 544e69b928 update Travis 2014-02-21 10:44:49 -08:00
SEOGI KANG 35d132f52b Secondary field approach 2014-02-21 08:26:02 -08:00
seogi cc33d148b6 initial set up 2014-02-20 17:30:31 -08:00
seogi 3bc66134aa Total field approach 2014-02-20 17:29:39 -08:00
SEOGI KANG 37bca3b3e9 Some functions for neumann BC weak form 2014-02-17 11:19:44 -08:00
rowanc1 d896e99bb2 added email notifications to the build testing 2014-02-13 16:09:55 -08:00
seogi bf4e2a774f Testing inhomogenous neumann boundary conditions, but quite general
since we can put different boundary condtions on each side.

Testing has been done for homogenous case with some fictitious source test.
See: Boundary_conditions.ipynb

two functions are written.

- ddxFaceDivBC
- faceDivBC

Need to be more tested and after that they can be merged in to main
2014-02-13 13:48:57 -08:00
rowanc1 575c340130 (boiler plate) 2014-02-12 23:13:10 -08:00
142 changed files with 116028 additions and 563 deletions
+1 -1
View File
@@ -1,4 +1,4 @@
[bumpversion]
current_version = 0.1.10
current_version = 0.1.12
files = setup.py SimPEG/__init__.py docs/conf.py
+2
View File
@@ -39,3 +39,5 @@ nosetests.xml
*.sublime-workspace
docs/_build/
Makefile
docs/warnings.txt
.DS_Store
+27 -3
View File
@@ -18,24 +18,32 @@ env:
- TEST_DIR="tests/mesh tests/base tests/utils"
- TEST_DIR=tests/em/fdem/inverse/derivs
- TEST_DIR=tests/em/tdem
- TEST_DIR=tests/pf
- TEST_DIR=tests/dcip
- TEST_DIR=tests/flow
- TEST_DIR=tests/mt
- TEST_DIR=tests/examples
- TEST_DIR=tests/em/fdem/inverse/adjoint
- TEST_DIR=tests/em/fdem/forward
- TEST_DIR=tests/docs;
GAE_PYTHONPATH=${HOME}/.cache/google_appengine;
PATH=$PATH:${HOME}/google-cloud-sdk/bin;
PYTHONPATH=${PYTHONPATH}:${GAE_PYTHONPATH};
CLOUDSDK_CORE_DISABLE_PROMPTS=1
# Setup anaconda
before_install:
- if [ ${TRAVIS_PYTHON_VERSION:0:1} == "2" ]; then wget http://repo.continuum.io/miniconda/Miniconda-3.8.3-Linux-x86_64.sh -O miniconda.sh; else wget http://repo.continuum.io/miniconda/Miniconda3-3.8.3-Linux-x86_64.sh -O miniconda.sh; fi
# Install packages
- if [ ${TRAVIS_PYTHON_VERSION:0:1} == "2" ]; then wget http://repo.continuum.io/miniconda/Miniconda-3.8.3-Linux-x86_64.sh
-O miniconda.sh; else wget http://repo.continuum.io/miniconda/Miniconda3-3.8.3-Linux-x86_64.sh
-O miniconda.sh; fi
- chmod +x miniconda.sh
- ./miniconda.sh -b
- export PATH=/home/travis/anaconda/bin:/home/travis/miniconda/bin:$PATH
- conda update --yes conda
# Install packages
install:
- conda install --yes pip python=$TRAVIS_PYTHON_VERSION numpy scipy matplotlib cython ipython nose vtk
- conda install --yes pip python=$TRAVIS_PYTHON_VERSION numpy scipy matplotlib cython ipython nose vtk sphinx
- pip install nose-cov python-coveralls
- git clone https://github.com/rowanc1/pymatsolver.git
@@ -46,12 +54,28 @@ install:
# Run test
script:
# test docs
- nosetests $TEST_DIR --with-cov --cov SimPEG --cov-config .coveragerc -v -s
# Calculate coverage
after_success:
- coveralls --config_file .coveragerc
- if [ "$TRAVIS_BRANCH" = "master" -a "$TRAVIS_PULL_REQUEST" = "false" ]; then
if [ ${TEST_DIR} == "tests/docs" ]; then
python scripts/fetch_gae_sdk.py $(dirname "${GAE_PYTHONPATH}");
openssl aes-256-cbc -K $encrypted_93066031461c_key -iv $encrypted_93066031461c_iv
-in docs/credentials.tar.gz.enc -out credentials.tar.gz -d ;
if [ ! -d ${HOME}/google-cloud-sdk ]; then curl https://sdk.cloud.google.com | bash; fi ;
tar -xzf credentials.tar.gz ;
gcloud auth activate-service-account --key-file client-secret.json ;
gcloud config set project simpegdocs;
gcloud -q components update gae-python;
gcloud -q preview app deploy ./docs/app.yaml --version ${TRAVIS_COMMIT} --promote;
fi;
fi
notifications:
email:
- rowanc1@gmail.com
+1 -1
View File
@@ -1,4 +1,4 @@
.. image:: https://raw.github.com/simpeg/simpeg/master/docs/simpeg-logo.png
.. image:: https://raw.github.com/simpeg/simpeg/master/docs/images/simpeg-logo.png
:alt: SimPEG Logo
======
+2 -2
View File
@@ -162,8 +162,8 @@ class ProblemDC_CC(Problem.BaseProblem):
"""
Makes the matrix A(m) for the DC resistivity problem.
:param numpy.array m: model
:rtype: scipy.csc_matrix
:param numpy.ndarray m: model
:rtype: scipy.sparse.csc_matrix
:return: A(m)
.. math::
+1 -1
View File
@@ -71,7 +71,7 @@ class ProblemIP(Problem.BaseProblem):
Makes the matrix A(m) for the DC resistivity problem.
:param numpy.array m: model
:rtype: scipy.csc_matrix
:rtype: scipy.sparse.csc_matrix
:return: A(m)
.. math::
+30 -17
View File
@@ -167,7 +167,7 @@ class TargetMisfit(InversionDirective):
class _SaveEveryIteration(InversionDirective):
class SaveEveryIteration(InversionDirective):
@property
def name(self):
if getattr(self, '_name', None) is None:
@@ -188,7 +188,7 @@ class _SaveEveryIteration(InversionDirective):
self._fileName = value
class SaveModelEveryIteration(_SaveEveryIteration):
class SaveModelEveryIteration(SaveEveryIteration):
"""SaveModelEveryIteration"""
def initialize(self):
@@ -198,7 +198,7 @@ class SaveModelEveryIteration(_SaveEveryIteration):
np.save('%03d-%s' % (self.opt.iter, self.fileName), self.opt.xc)
class SaveOutputEveryIteration(_SaveEveryIteration):
class SaveOutputEveryIteration(SaveEveryIteration):
"""SaveModelEveryIteration"""
def initialize(self):
@@ -212,7 +212,7 @@ class SaveOutputEveryIteration(_SaveEveryIteration):
f.write(' %3d %1.4e %1.4e %1.4e %1.4e\n'%(self.opt.iter, self.invProb.beta, self.invProb.phi_d, self.invProb.phi_m, self.opt.f))
f.close()
class SaveOutputDictEveryIteration(_SaveEveryIteration):
class SaveOutputDictEveryIteration(SaveEveryIteration):
"""SaveOutputDictEveryIteration"""
def initialize(self):
@@ -253,8 +253,7 @@ class SaveOutputDictEveryIteration(_SaveEveryIteration):
class Update_IRLS(InversionDirective):
eps_min = None
eps_p = None
eps_q = None
eps = None
norms = [2.,2.,2.,2.]
factor = None
gamma = None
@@ -263,6 +262,7 @@ class Update_IRLS(InversionDirective):
f_old = None
f_min_change = 1e-2
beta_tol = 5e-2
prctile = 95
# Solving parameter for IRLS (mode:2)
IRLSiter = 0
@@ -297,9 +297,19 @@ class Update_IRLS(InversionDirective):
print "Convergence with smooth l2-norm regularization: Start IRLS steps..."
self.mode = 2
print self.eps_p, self.eps_q, self.norms
self.reg.eps_p = self.eps_p
self.reg.eps_q = self.eps_q
# Either use the supplied epsilon, or fix base on distribution of
# model values
if getattr(self, 'eps', None) is None:
self.reg.eps_p = np.percentile(np.abs(self.invProb.curModel),self.prctile)
else:
self.reg.eps_p = self.eps[0]
if getattr(self, 'eps', None) is None:
self.reg.eps_q = np.percentile(np.abs(self.reg.regmesh.cellDiffxStencil*(self.reg.mapping * self.invProb.curModel)),self.prctile)
else:
self.reg.eps_q = self.eps[1]
self.reg.norms = self.norms
self.coolingFactor = 1.
self.coolingRate = 1
@@ -310,6 +320,9 @@ class Update_IRLS(InversionDirective):
self.reg.l2model = self.invProb.curModel
self.reg.curModel = self.invProb.curModel
print "L[p qx qy qz]-norm : " + str(self.reg.norms)
print "eps_p: " + str(self.reg.eps_p) + " eps_q: " + str(self.reg.eps_q)
if getattr(self, 'f_old', None) is None:
self.f_old = self.reg.eval(self.invProb.curModel)#self.invProb.evalFunction(self.invProb.curModel, return_g=False, return_H=False)
@@ -343,14 +356,14 @@ class Update_IRLS(InversionDirective):
else:
self.f_old = phim_new
# Cool the threshold parameter if required
if getattr(self, 'factor', None) is not None:
eps = self.reg.eps / self.factor
if getattr(self, 'eps_min', None) is not None:
self.reg.eps = np.max([self.eps_min,eps])
else:
self.reg.eps = eps
# # Cool the threshold parameter if required
# if getattr(self, 'factor', None) is not None:
# eps = self.reg.eps / self.factor
#
# if getattr(self, 'eps_min', None) is not None:
# self.reg.eps = np.max([self.eps_min,eps])
# else:
# self.reg.eps = eps
# Get phi_m at the end of current iteration
self.phi_m_last = self.invProb.phi_m_last
+302
View File
@@ -0,0 +1,302 @@
from __future__ import division
import numpy as np
from scipy.constants import mu_0, pi, epsilon_0
from scipy.special import erf
from SimPEG import Utils
omega = lambda f: 2.*np.pi*f
# TODO:
# r = lambda dx, dy, dz: np.sqrt( dx**2. + dy**2. + dz**2.)
# k = lambda f, mu, epsilon, sig: np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
def E_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=0., epsr=1.):
"""
Computing Analytic Electric fields from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
mu = mu_0*(1+kappa)
epsilon = epsilon_0*epsr
sig_hat = sig + 1j*omega(f)*epsilon
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
# Check
if XYZ.shape[0] > 1 & f.shape[0] > 1:
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
dx = XYZ[:,0]-srcLoc[0]
dy = XYZ[:,1]-srcLoc[1]
dz = XYZ[:,2]-srcLoc[2]
r = np.sqrt( dx**2. + dy**2. + dz**2.)
# k = np.sqrt( -1j*2.*np.pi*f*mu*sig )
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
front = current * length / (4.*np.pi*sig_hat* r**3) * np.exp(-1j*k*r)
mid = -k**2 * r**2 + 3*1j*k*r + 3
if orientation.upper() == 'X':
Ex = front*((dx**2 / r**2)*mid + (k**2 * r**2 -1j*k*r-1.))
Ey = front*(dx*dy / r**2)*mid
Ez = front*(dx*dz / r**2)*mid
return Ex, Ey, Ez
elif orientation.upper() == 'Y':
# x--> y, y--> z, z-->x
Ey = front*((dy**2 / r**2)*mid + (k**2 * r**2 -1j*k*r-1.))
Ez = front*(dy*dz / r**2)*mid
Ex = front*(dy*dx / r**2)*mid
return Ex, Ey, Ez
elif orientation.upper() == 'Z':
# x --> z, y --> x, z --> y
Ez = front*((dz**2 / r**2)*mid + (k**2 * r**2 -1j*k*r-1.))
Ex = front*(dz*dx / r**2)*mid
Ey = front*(dz*dy / r**2)*mid
return Ex, Ey, Ez
def E_galvanic_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Galvanic portion of Electric fields from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
mu = mu_0*(1+kappa)
epsilon = epsilon_0*epsr
sig_hat = sig + 1j*omega(f)*epsilon
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
# Check
if XYZ.shape[0] > 1 & f.shape[0] > 1:
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
dx = XYZ[:,0]-srcLoc[0]
dy = XYZ[:,1]-srcLoc[1]
dz = XYZ[:,2]-srcLoc[2]
r = np.sqrt( dx**2. + dy**2. + dz**2.)
# k = np.sqrt( -1j*2.*np.pi*f*mu*sig )
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
front = current * length / (4.*np.pi*sig_hat* r**3) * np.exp(-1j*k*r)
mid = -k**2 * r**2 + 3*1j*k*r + 3
if orientation.upper() == 'X':
Ex_galvanic = front*((dx**2 / r**2)*mid + (-1j*k*r-1.))
Ey_galvanic = front*(dx*dy / r**2)*mid
Ez_galvanic = front*(dx*dz / r**2)*mid
return Ex_galvanic, Ey_galvanic, Ez_galvanic
elif orientation.upper() == 'Y':
# x--> y, y--> z, z-->x
Ey_galvanic = front*((dy**2 / r**2)*mid + (-1j*k*r-1.))
Ez_galvanic = front*(dy*dz / r**2)*mid
Ex_galvanic = front*(dy*dx / r**2)*mid
return Ex_galvanic, Ey_galvanic, Ez_galvanic
elif orientation.upper() == 'Z':
# x --> z, y --> x, z --> y
Ez_galvanic = front*((dz**2 / r**2)*mid + (-1j*k*r-1.))
Ex_galvanic = front*(dz*dx / r**2)*mid
Ey_galvanic = front*(dz*dy / r**2)*mid
return Ex_galvanic, Ey_galvanic, Ez_galvanic
def E_inductive_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Inductive portion of Electric fields from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
mu = mu_0*(1+kappa)
epsilon = epsilon_0*epsr
sig_hat = sig + 1j*omega(f)*epsilon
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
# Check
if XYZ.shape[0] > 1 & f.shape[0] > 1:
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
dx = XYZ[:,0]-srcLoc[0]
dy = XYZ[:,1]-srcLoc[1]
dz = XYZ[:,2]-srcLoc[2]
r = np.sqrt( dx**2. + dy**2. + dz**2.)
# k = np.sqrt( -1j*2.*np.pi*f*mu*sig )
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
front = current * length / (4.*np.pi*sig_hat* r**3) * np.exp(-1j*k*r)
if orientation.upper() == 'X':
Ex_inductive = front*(k**2 * r**2)
Ey_inductive = np.zeros_like(Ex_inductive)
Ez_inductive = np.zeros_like(Ex_inductive)
return Ex_inductive, Ey_inductive, Ez_inductive
elif orientation.upper() == 'Y':
# x--> y, y--> z, z-->x
Ey_inductive = front*(k**2 * r**2)
Ez_inductive = np.zeros_like(Ey_inductive)
Ex_inductive = np.zeros_like(Ey_inductive)
return Ex_inductive, Ey_inductive, Ez_inductive
elif orientation.upper() == 'Z':
# x --> z, y --> x, z --> y
Ez_inductive = front*(k**2 * r**2)
Ex_inductive = np.zeros_like(Ez_inductive)
Ey_inductive = np.zeros_like(Ez_inductive)
return Ex_inductive, Ey_inductive, Ez_inductive
def J_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Current densities from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
Ex, Ey, Ez = E_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=current, length=length, orientation=orientation, kappa=kappa, epsr=epsr)
Jx = sig*Ex
Jy = sig*Ey
Jz = sig*Ez
return Jx, Jy, Jz
def J_galvanic_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Galvanic portion of Current densities from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
Ex_galvanic, Ey_galvanic, Ez_galvanic = E_galvanic_from_ElectricDipoleWholeSpaced(XYZ, srcLoc, sig, f, current=current, length=length, orientation=orientation, kappa=kappa, epsr=epsr)
Jx_galvanic = sig*Ex_galvanic
Jy_galvanic = sig*Ey_galvanic
Jz_galvanic = sig*Ez_galvanic
return Jx_galvanic, Jy_galvanic, Jz_galvanic
def J_inductive_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Inductive portion of Current densities from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
Ex_inductive, Ey_inductive, Ez_inductive = E_inductive_from_ElectricDipoleWholeSpaced(XYZ, srcLoc, sig, f, current=current, length=length, orientation=orientation, kappa=kappa, epsr=epsr)
Jx_inductive = sig*Ex_inductive
Jy_inductive = sig*Ey_inductive
Jz_inductive = sig*Ez_inductive
return Jx_inductive, Jy_inductive, Jz_inductive
def H_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Magnetic fields from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
mu = mu_0*(1+kappa)
epsilon = epsilon_0*epsr
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
# Check
if XYZ.shape[0] > 1 & f.shape[0] > 1:
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
dx = XYZ[:,0]-srcLoc[0]
dy = XYZ[:,1]-srcLoc[1]
dz = XYZ[:,2]-srcLoc[2]
r = np.sqrt( dx**2. + dy**2. + dz**2.)
# k = np.sqrt( -1j*2.*np.pi*f*mu*sig )
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
front = current * length / (4.*np.pi* r**2) * (-1j*k*r + 1) * np.exp(-1j*k*r)
if orientation.upper() == 'X':
Hy = front*(-dz / r)
Hz = front*(dy / r)
Hx = np.zeros_like(Hy)
return Hx, Hy, Hz
elif orientation.upper() == 'Y':
Hx = front*(dz / r)
Hz = front*(-dx / r)
Hy = np.zeros_like(Hx)
return Hx, Hy, Hz
elif orientation.upper() == 'Z':
Hx = front*(-dy / r)
Hy = front*(dx / r)
Hz = np.zeros_like(Hx)
return Hx, Hy, Hz
def B_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Magnetic flux densites from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
Hx, Hy, Hz = H_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=current, length=length, orientation=orientation, kappa=kappa, epsr=epsr)
Bx = mu*Hx
By = mu*Hy
Bz = mu*Hz
return Bx, By, Bz
def A_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Electric vector potentials from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
mu = mu_0*(1+kappa)
epsilon = epsilon_0*epsr
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
# Check
if XYZ.shape[0] > 1 & f.shape[0] > 1:
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
dx = XYZ[:,0]-srcLoc[0]
dy = XYZ[:,1]-srcLoc[1]
dz = XYZ[:,2]-srcLoc[2]
r = np.sqrt( dx**2. + dy**2. + dz**2.)
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
front = current * length / (4.*np.pi*r)
if orientation.upper() == 'X':
Ax = front*np.exp(-1j*k*r)
Ay = np.zeros_like(Ax)
Az = np.zeros_like(Ax)
return Ax, Ay, Az
elif orientation.upper() == 'Y':
Ay = front*np.exp(-1j*k*r)
Ax = np.zeros_like(Ay)
Az = np.zeros_like(Ay)
return Ax, Ay, Az
elif orientation.upper() == 'Z':
Az = front*np.exp(-1j*k*r)
Ax = np.zeros_like(Ay)
Ay = np.zeros_like(Ay)
return Ax, Ay, Az
+1
View File
@@ -2,3 +2,4 @@ from TDEM import hzAnalyticDipoleT
from FDEM import hzAnalyticDipoleF
from FDEMcasing import *
from DC import DCAnalyticHalf, DCAnalyticSphere
from FDEMDipolarfields import *
+4 -3
View File
@@ -20,10 +20,10 @@ class BaseEMProblem(Problem.BaseProblem):
Problem.BaseProblem.__init__(self, mesh, **kwargs)
surveyPair = Survey.BaseSurvey
dataPair = Survey.Data
surveyPair = Survey.BaseSurvey #: The survey to pair with.
dataPair = Survey.Data #: The data to pair with.
PropMap = EMPropMap
PropMap = EMPropMap #: The property mapping
Solver = SimpegSolver
solverOpts = {}
@@ -217,6 +217,7 @@ class BaseEMSurvey(Survey.BaseSurvey):
def eval(self, f):
"""
Project fields to receiver locations
:param Fields u: fields object
:rtype: numpy.ndarray
:return: data
+18 -30
View File
@@ -6,11 +6,11 @@ from SimPEG.EM.Utils import omega
from SimPEG.Utils import Zero, Identity, sdiag
class Fields(SimPEG.Problem.Fields):
class FieldsFDEM(SimPEG.Problem.Fields):
"""
Fancy Field Storage for a FDEM survey. Only one field type is stored for
each problem, the rest are computed. The fields obejct acts like an array and is indexed by
each problem, the rest are computed. The fields object acts like an array and is indexed by
.. code-block:: python
@@ -92,7 +92,7 @@ class Fields(SimPEG.Problem.Fields):
"""
Total derivative of e with respect to the inversion model. Returns :math:`d\mathbf{e}/d\mathbf{m}` for forward and (:math:`d\mathbf{e}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
:param Src src: sorce
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
:param numpy.ndarray v: vector to take sensitivity product with
:param bool adjoint: adjoint?
@@ -110,7 +110,7 @@ class Fields(SimPEG.Problem.Fields):
"""
Total derivative of b with respect to the inversion model. Returns :math:`d\mathbf{b}/d\mathbf{m}` for forward and (:math:`d\mathbf{b}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
:param Src src: sorce
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
:param numpy.ndarray v: vector to take sensitivity product with
:param bool adjoint: adjoint?
@@ -128,7 +128,7 @@ class Fields(SimPEG.Problem.Fields):
"""
Total derivative of h with respect to the inversion model. Returns :math:`d\mathbf{h}/d\mathbf{m}` for forward and (:math:`d\mathbf{h}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
:param Src src: sorce
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
:param numpy.ndarray v: vector to take sensitivity product with
:param bool adjoint: adjoint?
@@ -146,7 +146,7 @@ class Fields(SimPEG.Problem.Fields):
"""
Total derivative of j with respect to the inversion model. Returns :math:`d\mathbf{j}/d\mathbf{m}` for forward and (:math:`d\mathbf{j}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
:param Src src: sorce
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
:param numpy.ndarray v: vector to take sensitivity product with
:param bool adjoint: adjoint?
@@ -160,12 +160,12 @@ class Fields(SimPEG.Problem.Fields):
return self._jDeriv_u(src, v, adjoint), self._jDeriv_m(src, v, adjoint)
return np.array(self._jDeriv_u(src, du_dm_v, adjoint) + self._jDeriv_m(src, v, adjoint), dtype = complex)
class Fields3D_e(Fields):
class Fields3D_e(FieldsFDEM):
"""
Fields object for Problem3D_e.
:param Mesh mesh: mesh
:param Survey survey: survey
:param BaseMesh mesh: mesh
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
"""
knownFields = {'eSolution':'E'}
@@ -180,9 +180,6 @@ class Fields3D_e(Fields):
'h' : ['eSolution','CCV','_h'],
}
def __init__(self, mesh, survey, **kwargs):
Fields.__init__(self, mesh, survey, **kwargs)
def startup(self):
self.prob = self.survey.prob
self._edgeCurl = self.survey.prob.mesh.edgeCurl
@@ -426,12 +423,12 @@ class Fields3D_e(Fields):
class Fields3D_b(Fields):
class Fields3D_b(FieldsFDEM):
"""
Fields object for Problem3D_b.
:param Mesh mesh: mesh
:param Survey survey: survey
:param BaseMesh mesh: mesh
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
"""
knownFields = {'bSolution':'F'}
@@ -446,9 +443,6 @@ class Fields3D_b(Fields):
'h' : ['bSolution','CCV','_h'],
}
def __init__(self,mesh,survey,**kwargs):
Fields.__init__(self,mesh,survey,**kwargs)
def startup(self):
self.prob = self.survey.prob
self._edgeCurl = self.survey.prob.mesh.edgeCurl
@@ -693,12 +687,12 @@ class Fields3D_b(Fields):
return Zero()
class Fields3D_j(Fields):
class Fields3D_j(FieldsFDEM):
"""
Fields object for Problem3D_j.
:param Mesh mesh: mesh
:param Survey survey: survey
:param BaseMesh mesh: mesh
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
"""
knownFields = {'jSolution':'F'}
@@ -713,9 +707,6 @@ class Fields3D_j(Fields):
'b' : ['jSolution','CCV','_b'],
}
def __init__(self,mesh,survey,**kwargs):
Fields.__init__(self,mesh,survey,**kwargs)
def startup(self):
self.prob = self.survey.prob
self._edgeCurl = self.survey.prob.mesh.edgeCurl
@@ -988,12 +979,12 @@ class Fields3D_j(Fields):
return 1./(1j * omega(src.freq)) * VI * (self._aveE2CCV * ( s_mDeriv(v) - self._edgeCurl.T * ( self._MfRhoDeriv(jSolution) * v ) ) )
class Fields3D_h(Fields):
class Fields3D_h(FieldsFDEM):
"""
Fields object for Problem3D_h.
:param Mesh mesh: mesh
:param Survey survey: survey
:param BaseMesh mesh: mesh
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
"""
knownFields = {'hSolution':'E'}
@@ -1008,9 +999,6 @@ class Fields3D_h(Fields):
'b' : ['hSolution','CCV','_b'],
}
def __init__(self,mesh,survey,**kwargs):
Fields.__init__(self,mesh,survey,**kwargs)
def startup(self):
self.prob = self.survey.prob
self._edgeCurl = self.survey.prob.mesh.edgeCurl
+21 -16
View File
@@ -1,7 +1,7 @@
from SimPEG import Problem, Utils, np, sp, Solver as SimpegSolver
from scipy.constants import mu_0
from SurveyFDEM import Survey as SurveyFDEM
from FieldsFDEM import Fields, Fields3D_e, Fields3D_b, Fields3D_h, Fields3D_j
from FieldsFDEM import FieldsFDEM, Fields3D_e, Fields3D_b, Fields3D_h, Fields3D_j
from SimPEG.EM.Base import BaseEMProblem
from SimPEG.EM.Utils import omega
@@ -31,10 +31,11 @@ class BaseFDEMProblem(BaseEMProblem):
if using the H-J formulation (:code:`Problem3D_j` or :code:`Problem3D_h`). Note that here, :math:`\mathbf{s_m}` is an integrated quantity.
The problem performs the elimination so that we are solving the system for \\\(\\\mathbf{e},\\\mathbf{b},\\\mathbf{j} \\\) or \\\(\\\mathbf{h}\\\)
"""
surveyPair = SurveyFDEM
fieldsPair = Fields
fieldsPair = FieldsFDEM
def fields(self, m):
"""
@@ -64,7 +65,7 @@ class BaseFDEMProblem(BaseEMProblem):
:param numpy.array m: inversion model (nP,)
:param numpy.array v: vector which we take sensitivity product with (nP,)
:param SimPEG.EM.FDEM.Fields u: fields object
:param SimPEG.EM.FDEM.FieldsFDEM.FieldsFDEM u: fields object
:rtype numpy.array:
:return: Jv (ndata,)
"""
@@ -99,7 +100,7 @@ class BaseFDEMProblem(BaseEMProblem):
:param numpy.array m: inversion model (nP,)
:param numpy.array v: vector which we take adjoint product with (nP,)
:param SimPEG.EM.FDEM.Fields u: fields object
:param SimPEG.EM.FDEM.FieldsFDEM.FieldsFDEM u: fields object
:rtype numpy.array:
:return: Jv (ndata,)
"""
@@ -153,8 +154,8 @@ class BaseFDEMProblem(BaseEMProblem):
Evaluates the sources for a given frequency and puts them in matrix form
:param float freq: Frequency
:rtype: (numpy.ndarray, numpy.ndarray)
:return: s_m, s_e (nE or nF, nSrc)
:rtype: tuple
:return: (s_m, s_e) (nE or nF, nSrc)
"""
Srcs = self.survey.getSrcByFreq(freq)
if self._formulation is 'EB':
@@ -194,7 +195,7 @@ class Problem3D_e(BaseFDEMProblem):
which we solve for :math:`\mathbf{e}`.
:param SimPEG.Mesh mesh: mesh
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
"""
_solutionType = 'eSolution'
@@ -269,7 +270,7 @@ class Problem3D_e(BaseFDEMProblem):
Derivative of the right hand side with respect to the model
:param float freq: frequency
:param SimPEG.EM.FDEM.Src src: FDEM source
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
@@ -305,7 +306,7 @@ class Problem3D_b(BaseFDEMProblem):
.. note ::
The inverse problem will not work with full anisotropy
:param SimPEG.Mesh mesh: mesh
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
"""
_solutionType = 'bSolution'
@@ -400,7 +401,7 @@ class Problem3D_b(BaseFDEMProblem):
Derivative of the right hand side with respect to the model
:param float freq: frequency
:param SimPEG.EM.FDEM.Src src: FDEM source
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
@@ -444,6 +445,7 @@ class Problem3D_j(BaseFDEMProblem):
\mathbf{h} = \\frac{1}{i \omega} \mathbf{M_{\mu}^e}^{-1} \\left(-\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{j} + \mathbf{M^e} \mathbf{s_m} \\right)
and solve for \\\(\\\mathbf{j}\\\) using
.. math ::
@@ -453,7 +455,7 @@ class Problem3D_j(BaseFDEMProblem):
.. note::
This implementation does not yet work with full anisotropy!!
:param SimPEG.Mesh mesh: mesh
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
"""
_solutionType = 'jSolution'
@@ -529,8 +531,8 @@ class Problem3D_j(BaseFDEMProblem):
\mathbf{RHS} = \mathbf{C} \mathbf{M_{\mu}^e}^{-1}\mathbf{s_m} -i\omega \mathbf{s_e}
:param float freq: Frequency
:rtype: numpy.ndarray (nE, nSrc)
:return: RHS
:rtype: numpy.ndarray
:return: RHS (nE, nSrc)
"""
s_m, s_e = self.getSourceTerm(freq)
@@ -549,7 +551,7 @@ class Problem3D_j(BaseFDEMProblem):
Derivative of the right hand side with respect to the model
:param float freq: frequency
:param SimPEG.EM.FDEM.Src src: FDEM source
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
@@ -591,7 +593,7 @@ class Problem3D_h(BaseFDEMProblem):
\\left(\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{C} + i \omega \mathbf{M_{\mu}^e}\\right) \mathbf{h} = \mathbf{M^e} \mathbf{s_m} + \mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{s_e}
:param SimPEG.Mesh mesh: mesh
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
"""
_solutionType = 'hSolution'
@@ -608,9 +610,11 @@ class Problem3D_h(BaseFDEMProblem):
.. math::
\mathbf{A} = \mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{C} + i \omega \mathbf{M_{\mu}^e}
:param float freq: Frequency
:rtype: scipy.sparse.csr_matrix
:return: A
"""
MeMu = self.MeMu
@@ -653,6 +657,7 @@ class Problem3D_h(BaseFDEMProblem):
:param float freq: Frequency
:rtype: numpy.ndarray
:return: RHS (nE, nSrc)
"""
s_m, s_e = self.getSourceTerm(freq)
@@ -666,7 +671,7 @@ class Problem3D_h(BaseFDEMProblem):
Derivative of the right hand side with respect to the model
:param float freq: frequency
:param SimPEG.EM.FDEM.Src src: FDEM source
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
+5 -5
View File
@@ -25,10 +25,10 @@ class BaseRx(SimPEG.Survey.BaseRx):
def eval(self, src, mesh, f):
"""
Project fields to recievers to get data.
Project fields to receivers to get data.
:param Source src: FDEM source
:param Mesh mesh: mesh used
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param BaseMesh mesh: mesh used
:param Fields f: fields object
:rtype: numpy.ndarray
:return: fields projected to recievers
@@ -44,8 +44,8 @@ class BaseRx(SimPEG.Survey.BaseRx):
"""
Derivative of projected fields with respect to the inversion model times a vector.
:param Source src: FDEM source
:param Mesh mesh: mesh used
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param BaseMesh mesh: mesh used
:param Fields f: fields object
:param numpy.ndarray v: vector to multiply
:rtype: numpy.ndarray
+28 -28
View File
@@ -23,8 +23,8 @@ class BaseSrc(Survey.BaseSrc):
- :math:`s_m` : magnetic source term
- :math:`s_e` : electric source term
:param Problem prob: FDEM Problem
:rtype: (numpy.ndarray, numpy.ndarray)
:param BaseFDEMProblem prob: FDEM Problem
:rtype: tuple
:return: tuple with magnetic source term and electric source term
"""
s_m = self.s_m(prob)
@@ -37,10 +37,10 @@ class BaseSrc(Survey.BaseSrc):
- :code:`s_mDeriv` : derivative of the magnetic source term
- :code:`s_eDeriv` : derivative of the electric source term
:param Problem prob: FDEM Problem
:param BaseFDEMProblem prob: FDEM Problem
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: (numpy.ndarray, numpy.ndarray)
:rtype: tuple
:return: tuple with magnetic source term and electric source term derivatives times a vector
"""
if v is not None:
@@ -52,7 +52,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Primary magnetic flux density
:param Problem prob: FDEM Problem
:param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray
:return: primary magnetic flux density
"""
@@ -64,7 +64,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Primary magnetic field
:param Problem prob: FDEM Problem
:param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -76,7 +76,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Primary electric field
:param Problem prob: FDEM Problem
:param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray
:return: primary electric field
"""
@@ -88,7 +88,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Primary current density
:param Problem prob: FDEM Problem
:param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray
:return: primary current density
"""
@@ -100,7 +100,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Magnetic source term
:param Problem prob: FDEM Problem
:param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray
:return: magnetic source term on mesh
"""
@@ -110,7 +110,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Electric source term
:param Problem prob: FDEM Problem
:param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray
:return: electric source term on mesh
"""
@@ -120,7 +120,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Derivative of magnetic source term with respect to the inversion model
:param Problem prob: FDEM Problem
:param BaseFDEMProblem prob: FDEM Problem
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
@@ -133,7 +133,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Derivative of electric source term with respect to the inversion model
:param Problem prob: FDEM Problem
:param BaseFDEMProblem prob: FDEM Problem
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
@@ -162,7 +162,7 @@ class RawVec_e(BaseSrc):
"""
Electric source term
:param Problem prob: FDEM Problem
:param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray
:return: electric source term on mesh
"""
@@ -191,7 +191,7 @@ class RawVec_m(BaseSrc):
"""
Magnetic source term
:param Problem prob: FDEM Problem
:param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray
:return: magnetic source term on mesh
"""
@@ -220,7 +220,7 @@ class RawVec(BaseSrc):
"""
Magnetic source term
:param Problem prob: FDEM Problem
:param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray
:return: magnetic source term on mesh
"""
@@ -232,7 +232,7 @@ class RawVec(BaseSrc):
"""
Electric source term
:param Problem prob: FDEM Problem
:param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray
:return: electric source term on mesh
"""
@@ -301,7 +301,7 @@ class MagDipole(BaseSrc):
"""
The primary magnetic flux density from a magnetic vector potential
:param Problem prob: FDEM problem
:param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -339,7 +339,7 @@ class MagDipole(BaseSrc):
"""
The primary magnetic field from a magnetic vector potential
:param Problem prob: FDEM problem
:param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -350,7 +350,7 @@ class MagDipole(BaseSrc):
"""
The magnetic source term
:param Problem prob: FDEM problem
:param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -364,7 +364,7 @@ class MagDipole(BaseSrc):
"""
The electric source term
:param Problem prob: FDEM problem
:param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -416,7 +416,7 @@ class MagDipole_Bfield(BaseSrc):
"""
The primary magnetic flux density from the analytic solution for magnetic fields from a dipole
:param Problem prob: FDEM problem
:param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -455,7 +455,7 @@ class MagDipole_Bfield(BaseSrc):
"""
The primary magnetic field from a magnetic vector potential
:param Problem prob: FDEM problem
:param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -466,7 +466,7 @@ class MagDipole_Bfield(BaseSrc):
"""
The magnetic source term
:param Problem prob: FDEM problem
:param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -479,7 +479,7 @@ class MagDipole_Bfield(BaseSrc):
"""
The electric source term
:param Problem prob: FDEM problem
:param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -530,7 +530,7 @@ class CircularLoop(BaseSrc):
"""
The primary magnetic flux density from a magnetic vector potential
:param Problem prob: FDEM problem
:param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -567,7 +567,7 @@ class CircularLoop(BaseSrc):
"""
The primary magnetic field from a magnetic vector potential
:param Problem prob: FDEM problem
:param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -578,7 +578,7 @@ class CircularLoop(BaseSrc):
"""
The magnetic source term
:param Problem prob: FDEM problem
:param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -591,7 +591,7 @@ class CircularLoop(BaseSrc):
"""
The electric source term
:param Problem prob: FDEM problem
:param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
+3 -3
View File
@@ -112,7 +112,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
"""
:param numpy.array m: Conductivity model
:param numpy.ndarray v: vector (model object)
:param simpegEM.TDEM.FieldsTDEM f: Fields resulting from m
:param FieldsTDEM f: Fields resulting from m
:rtype: numpy.ndarray
:return: w (data object)
@@ -136,8 +136,8 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
def Jtvec(self, m, v, f=None):
"""
:param numpy.array m: Conductivity model
:param numpy.ndarray,SimPEG.Survey.Data v: vector (data object)
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m
:param numpy.ndarray v: vector (or a :class:`SimPEG.Survey.Data` object)
:param FieldsTDEM u: Fields resulting from m
:rtype: numpy.ndarray
:return: w (model object)
+13 -13
View File
@@ -87,8 +87,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
"""
:param numpy.array m: Conductivity model
:param numpy.array vec: vector (like a model)
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m
:rtype: simpegEM.TDEM.FieldsTDEM
:param FieldsTDEM u: Fields resulting from m
:rtype: FieldsTDEM
:return: f
Multiply G by a vector
@@ -125,9 +125,9 @@ class ProblemTDEM_b(BaseTDEMProblem):
"""
:param numpy.array m: Conductivity model
:param numpy.array vec: vector (like a fields)
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m
:rtype: np.ndarray (like a model)
:return: p
:param FieldsTDEM u: Fields resulting from m
:rtype: numpy.ndarray
:return: p (like a model)
Multiply G.T by a vector
"""
@@ -153,8 +153,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
def solveAh(self, m, p):
"""
:param numpy.array m: Conductivity model
:param simpegEM.TDEM.FieldsTDEM p: Fields object
:rtype: simpegEM.TDEM.FieldsTDEM
:param FieldsTDEM p: Fields object
:rtype: FieldsTDEM
:return: y
Solve the block-matrix system \\\(\\\hat{A} \\\hat{y} = \\\hat{p}\\\):
@@ -200,8 +200,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
def solveAht(self, m, p):
"""
:param numpy.array m: Conductivity model
:param simpegEM.TDEM.FieldsTDEM p: Fields object
:rtype: simpegEM.TDEM.FieldsTDEM
:param FieldsTDEM p: Fields object
:rtype: FieldsTDEM
:return: y
Solve the block-matrix system \\\(\\\hat{A}^\\\\top \\\hat{y} = \\\hat{p}\\\):
@@ -270,8 +270,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
def _AhVec(self, m, vec):
"""
:param numpy.array m: Conductivity model
:param simpegEM.TDEM.FieldsTDEM vec: Fields object
:rtype: simpegEM.TDEM.FieldsTDEM
:param FieldsTDEM vec: Fields object
:rtype: FieldsTDEM
:return: f
Multiply the matrix \\\(\\\hat{A}\\\) by a fields vector where
@@ -315,8 +315,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
def _AhtVec(self, m, vec):
"""
:param numpy.array m: Conductivity model
:param simpegEM.TDEM.FieldsTDEM vec: Fields object
:rtype: simpegEM.TDEM.FieldsTDEM
:param FieldsTDEM vec: Fields object
:rtype: FieldsTDEM
:return: f
Multiply the matrix \\\(\\\hat{A}\\\) by a fields vector where
+7 -7
View File
@@ -1,7 +1,7 @@
from SimPEG import *
import SimPEG.DCIP as DC
import SimPEG.EM.Static.DC as DC
def run(plotIt=False):
def run(plotIt=True):
cs = 25.
hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
@@ -21,10 +21,10 @@ def run(plotIt=False):
# ax.plot(xyz_rxP[:,0],xyz_rxP[:,1], 'w.')
# ax.plot(xyz_rxN[:,0],xyz_rxN[:,1], 'r.', ms = 3)
rx = DC.RxDipole(xyz_rxP, xyz_rxN)
src = DC.SrcDipole([rx], [-200, 0, -12.5], [+200, 0, -12.5])
survey = DC.SurveyDC([src])
problem = DC.ProblemDC_CC(mesh)
rx = DC.Rx.Dipole(xyz_rxP, xyz_rxN)
src = DC.Src.Dipole([rx], np.r_[-200, 0, -12.5], np.r_[+200, 0, -12.5])
survey = DC.Survey([src])
problem = DC.Problem3D_CC(mesh)
problem.pair(survey)
try:
from pymatsolver import MumpsSolver
@@ -65,4 +65,4 @@ def run(plotIt=False):
if __name__ == '__main__':
print run(plotIt=True)
print run()
@@ -19,10 +19,13 @@ def run(plotIt=True):
Morrison Casing Model, and the results are used in a 2016 SEG abstract by
Yang et al.
- Schenkel, C.J., and H.F. Morrison, 1990, Effects of well casing on potential field measurements using downhole current sources: Geophysical prospecting, 38, 663-686.
.. code-block:: text
Schenkel, C.J., and H.F. Morrison, 1990, Effects of well casing on potential field measurements using downhole current sources: Geophysical prospecting, 38, 663-686.
The model consists of:
- Air: Conductivity 1e-8 S/m, above z = 0
- Background: conductivity 1e-2 S/m, below z = 0
- Casing: conductivity 1e6 S/m
@@ -215,7 +218,7 @@ def run(plotIt=True):
# ------------ Problem and Survey ---------------
survey = FDEM.Survey(sg_p + dg_p)
mapping = [('sigma', Maps.IdentityMap(mesh))]
problem = FDEM.Problem3D_h(mesh, mapping=mapping)
problem = FDEM.Problem3D_h(mesh, mapping=mapping, Solver=solver)
problem.pair(survey)
# ------------- Solve ---------------------------
+7 -29
View File
@@ -42,55 +42,33 @@ def run(N=100, plotIt=True):
survey = Survey.LinearSurvey()
survey.pair(prob)
survey.dobs = prob.fields(mtrue) + std_noise * np.random.randn(nk)
#survey.makeSyntheticData(mtrue, std=std_noise)
wd = np.ones(nk) * std_noise
#print survey.std[0]
#M = prob.mesh
# Distance weighting
wr = np.sum(prob.G**2.,axis=0)**0.5
wr = ( wr/np.max(wr) )
# reg = Regularization.Simple(mesh)
# reg.mref = mref
# reg.cell_weights = wr
#
dmis = DataMisfit.l2_DataMisfit(survey)
dmis.Wd = 1./wd
#
# opt = Optimization.ProjectedGNCG(maxIter=20,lower=-2.,upper=2., maxIterCG= 10, tolCG = 1e-4)
# invProb = InvProblem.BaseInvProblem(dmis, reg, opt)
# invProb.curModel = m0
#
# beta = Directives.BetaSchedule(coolingFactor=2, coolingRate=1)
# target = Directives.TargetMisfit()
#
betaest = Directives.BetaEstimate_ByEig()
# inv = Inversion.BaseInversion(invProb, directiveList=[beta, betaest, target])
#
#
# mrec = inv.run(m0)
# ml2 = mrec
# print "Final misfit:" + str(invProb.dmisfit.eval(mrec))
#
# # Switch regularization to sparse
# phim = invProb.phi_m_last
# phid = invProb.phi_d
reg = Regularization.Sparse(mesh)
reg.mref = mref
reg.cell_weights = wr
reg.mref = np.zeros(mesh.nC)
eps_p = 5e-2
eps_q = 5e-2
norms = [0., 0., 2., 2.]
opt = Optimization.ProjectedGNCG(maxIter=100 ,lower=-2.,upper=2., maxIterLS = 20, maxIterCG= 10, tolCG = 1e-3)
invProb = InvProblem.BaseInvProblem(dmis, reg, opt)
update_Jacobi = Directives.Update_lin_PreCond()
IRLS = Directives.Update_IRLS( norms=norms, eps_p=eps_p, eps_q=eps_q)
# Set the IRLS directive, penalize the lowest 25 percentile of model values
# Start with an l2-l2, then switch to lp-norms
norms = [0., 0., 2., 2.]
IRLS = Directives.Update_IRLS( norms=norms, prctile = 25, maxIRLSiter = 15, minGNiter=3)
inv = Inversion.BaseInversion(invProb, directiveList=[IRLS,betaest,update_Jacobi])
+3 -3
View File
@@ -7,7 +7,7 @@ import matplotlib.pyplot as plt
def run(plotIt=True):
"""
MT: 1D: Inversion
=======================
=================
Forward model 1D MT data.
Setup and run a MT 1D inversion.
@@ -50,7 +50,7 @@ def run(plotIt=True):
m_0 = np.log(sigma_0[active])
# Set the mapping
actMap = simpeg.Maps.ActiveCells(m1d, active, np.log(1e-8), nC=m1d.nCx)
actMap = simpeg.Maps.InjectActiveCells(m1d, active, np.log(1e-8), nC=m1d.nCx)
mappingExpAct = simpeg.Maps.ExpMap(m1d) * actMap
## Setup the layout of the survey, set the sources and the connected receivers
@@ -76,7 +76,7 @@ def run(plotIt=True):
survey.dobs = survey.dtrue + 0.025*abs(survey.dtrue)*np.random.randn(*survey.dtrue.shape)
if plotIt:
fig = MT.Utils.dataUtils.plotMT1DModelData(problem)
fig = MT.Utils.dataUtils.plotMT1DModelData(problem, [m_0])
fig.suptitle('Target - smooth true')
+3 -4
View File
@@ -12,7 +12,7 @@ except:
def run(plotIt=True, nFreq=1):
"""
MT: 3D: Forward
=======================
===============
Forward model 3D MT data.
@@ -46,16 +46,15 @@ def run(plotIt=True, nFreq=1):
survey = MT.Survey(srcList)
## Setup the problem object
problem = MT.Problem3D.eForm_ps(M, sigmaPrimary=sigBG)
problem = MT.Problem3D.eForm_ps(M, sigmaPrimary=sigBG, Solver=Solver)
problem.pair(survey)
problem.Solver = Solver
# Calculate the data
fields = problem.fields(sig)
dataVec = survey.eval(fields)
# Make the data
mtData = MT.Data(survey,dataVec)
mtData = MT.Data(survey, dataVec)
# Add plots
if plotIt:
pass
+62
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@@ -0,0 +1,62 @@
from SimPEG import Mesh, Maps, np
def run(plotIt=True):
"""
Maps: ComboMaps
===============
We will use an example where we want a 1D layered earth as
our model, but we want to map this to a 2D discretization to do our forward
modeling. We will also assume that we are working in log conductivity still,
so after the transformation we want to map to conductivity space.
To do this we will introduce the vertical 1D map (:class:`SimPEG.Maps.SurjectVertical1D`),
which does the first part of what we just described. The second part will be
done by the :class:`SimPEG.Maps.ExpMap` described above.
.. code-block:: python
:linenos:
M = Mesh.TensorMesh([7,5])
v1dMap = Maps.SurjectVertical1D(M)
expMap = Maps.ExpMap(M)
myMap = expMap * v1dMap
m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
sig = myMap * m
If you noticed, it was pretty easy to combine maps. What is even cooler is
that the derivatives also are made for you (if everything goes right).
Just to be sure that the derivative is correct, you should always run the test
on the mapping that you create.
"""
M = Mesh.TensorMesh([7,5])
v1dMap = Maps.SurjectVertical1D(M)
expMap = Maps.ExpMap(M)
myMap = expMap * v1dMap
m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
sig = myMap * m
if not plotIt: return
import matplotlib.pyplot as plt
figs, axs = plt.subplots(1,2)
axs[0].plot(m, M.vectorCCy, 'b-o')
axs[0].set_title('Model')
axs[0].set_ylabel('Depth, y')
axs[0].set_xlabel('Value, $m_i$')
axs[0].set_xlim(0,3)
axs[0].set_ylim(0,1)
clbar = plt.colorbar(M.plotImage(sig,ax=axs[1],grid=True,gridOpts=dict(color='grey'))[0])
axs[1].set_title('Physical Property')
axs[1].set_ylabel('Depth, y')
clbar.set_label('$\sigma = \exp(\mathbf{P}m)$')
plt.tight_layout()
plt.show()
if __name__ == '__main__':
run()
+41
View File
@@ -0,0 +1,41 @@
from SimPEG import Mesh, Maps, Utils
def run(plotIt=True):
"""
Maps: Mesh2Mesh
===============
This mapping allows you to go from one mesh to another.
"""
M = Mesh.TensorMesh([100,100])
h1 = Utils.meshTensor([(6,7,-1.5),(6,10),(6,7,1.5)])
h1 = h1/h1.sum()
M2 = Mesh.TensorMesh([h1,h1])
V = Utils.ModelBuilder.randomModel(M.vnC, seed=79, its=50)
v = Utils.mkvc(V)
modh = Maps.Mesh2Mesh([M,M2])
modH = Maps.Mesh2Mesh([M2,M])
H = modH * v
h = modh * H
if not plotIt: return
import matplotlib.pyplot as plt
ax = plt.subplot(131)
M.plotImage(v, ax=ax)
ax.set_title('Fine Mesh (Original)')
ax = plt.subplot(132)
M2.plotImage(H,clim=[0,1],ax=ax)
ax.set_title('Course Mesh')
ax = plt.subplot(133)
M.plotImage(h,clim=[0,1],ax=ax)
ax.set_title('Fine Mesh (Interpolated)')
plt.show()
if __name__ == '__main__':
run()
+5 -4
View File
@@ -1,4 +1,5 @@
from SimPEG import *
from SimPEG import Mesh, Utils, np
def run(plotIt=True):
"""
@@ -8,15 +9,15 @@ def run(plotIt=True):
Here we show SimPEG used to create three different types of meshes.
"""
sz = [16,16]
sz = [16, 16]
tM = Mesh.TensorMesh(sz)
qM = Mesh.TreeMesh(sz)
qM.refine(lambda cell: 4 if np.sqrt(((np.r_[cell.center]-0.5)**2).sum()) < 0.4 else 3)
rM = Mesh.CurvilinearMesh(Utils.meshutils.exampleLrmGrid(sz,'rotate'))
rM = Mesh.CurvilinearMesh(Utils.meshutils.exampleLrmGrid(sz, 'rotate'))
if plotIt:
import matplotlib.pyplot as plt
fig, axes = plt.subplots(1,3,figsize=(14,5))
fig, axes = plt.subplots(1, 3, figsize=(14, 5))
opts = {}
tM.plotGrid(ax=axes[0], **opts)
axes[0].set_title('TensorMesh')
+65
View File
@@ -0,0 +1,65 @@
from SimPEG import Mesh, np, PF
def run(plotIt=True):
"""
PF: Magnetics: Analytics
========================
Comparing the magnetics field in Vancouver to Seoul
"""
xr = np.linspace(-300, 300, 41)
yr = np.linspace(-300, 300, 41)
X, Y = np.meshgrid(xr, yr)
Z = np.ones((np.size(xr), np.size(yr)))*150
# Bz component in Korea
inckr = -8. + 3./60
deckr = 54. + 9./60
btotkr = 50898.6
Bokr = PF.MagAnalytics.IDTtoxyz(inckr, deckr, btotkr)
bx, by, bz = PF.MagAnalytics.MagSphereAnaFunA(
X, Y, Z, 100., 0., 0., 0., 0.01, Bokr, 'secondary'
)
Bzkr = np.reshape(bz, (np.size(xr), np.size(yr)), order='F')
# Bz component in Canada
incca = 16. + 49./60
decca = 70. + 19./60
btotca = 54692.1
Boca = PF.MagAnalytics.IDTtoxyz(incca, decca, btotca)
bx, by, bz = PF.MagAnalytics.MagSphereAnaFunA(
X, Y, Z, 100., 0., 0., 0., 0.01, Boca, 'secondary'
)
Bzca = np.reshape(bz, (np.size(xr), np.size(yr)), order='F')
if plotIt:
import matplotlib.pyplot as plt
from mpl_toolkits.axes_grid1 import make_axes_locatable
fig = plt.figure(figsize=(14, 5))
ax1 = plt.subplot(121)
dat1 = plt.imshow(Bzkr, extent=[min(xr), max(xr), min(yr), max(yr)])
divider = make_axes_locatable(ax1)
cax1 = divider.append_axes("right", size="5%", pad=0.05)
ax1.set_xlabel('East-West (m)')
ax1.set_ylabel('South-North (m)')
plt.colorbar(dat1, cax=cax1)
ax1.set_title('$B_z$ field at Seoul, South Korea')
ax2 = plt.subplot(122)
dat2 = plt.imshow(Bzca, extent=[min(xr), max(xr), min(yr), max(yr)])
divider = make_axes_locatable(ax2)
cax2 = divider.append_axes("right", size="5%", pad=0.05)
ax2.set_xlabel('East-West (m)')
ax2.set_ylabel('South-North (m)')
plt.colorbar(dat2, cax=cax2)
ax2.set_title('$B_z$ field at Vancouver, Canada')
plt.show()
if __name__ == '__main__':
run()
+9 -7
View File
@@ -2,8 +2,12 @@ from SimPEG import *
from SimPEG.Utils import surface2ind_topo
def run(plotIt=False, nx = 5, ny = 5):
def run(plotIt=True, nx=5, ny=5):
"""
Utils: surface2ind_topo
=======================
Here we show how to use :code:`Utils.surface2ind_topo` to identify cells below
a topographic surface.
@@ -13,27 +17,25 @@ def run(plotIt=False, nx = 5, ny = 5):
xtopo = np.linspace(mesh.gridN[:,0].min(), mesh.gridN[:,0].max())
topo = 0.4*np.sin(xtopo*5) # define a topographic surface
Topo = np.hstack([Utils.mkvc(xtopo,2),Utils.mkvc(topo,2)]) #make it an array
Topo = np.hstack([Utils.mkvc(xtopo,2), Utils.mkvc(topo,2)]) #make it an array
indcc = surface2ind_topo(mesh, Topo,'CC')
indcc = surface2ind_topo(mesh, Topo, 'CC')
if plotIt:
from matplotlib.pylab import plt
from scipy.interpolate import interp1d
fig, ax = plt.subplots(1,1,figsize=(6,6))
fig, ax = plt.subplots(1,1, figsize=(6,6))
mesh.plotGrid(ax=ax, nodes=True, centers=True)
ax.plot(xtopo,topo,'k',linewidth=1)
# ax.plot(mesh.vectorNx, interp1d(xtopo,topo)(mesh.vectorNx),'--k',linewidth=3)
ax.plot(mesh.vectorCCx, interp1d(xtopo,topo)(mesh.vectorCCx),'--k',linewidth=3)
aveN2CC = Utils.sdiag(mesh.aveN2CC.T.sum(1))*mesh.aveN2CC.T
a = aveN2CC * indcc
a[a > 0] = 1.
a[a < 0.25] = np.nan
a = a.reshape(mesh.vnN, order='F')
masked_array = np.ma.array(a, mask=np.isnan(a))
ax.pcolor(mesh.vectorNx,mesh.vectorNy,masked_array.T, cmap = plt.cm.gray,alpha=0.2)
ax.pcolor(mesh.vectorNx,mesh.vectorNy,masked_array.T, cmap=plt.cm.gray, alpha=0.2)
plt.show()
+6 -4
View File
@@ -10,6 +10,8 @@ import EM_TDEM_1D_Inversion
import FLOW_Richards_1D_Celia1990
import Inversion_IRLS
import Inversion_Linear
import Maps_ComboMaps
import Maps_Mesh2Mesh
import Mesh_Basic_ForwardDC
import Mesh_Basic_PlotImage
import Mesh_Basic_Types
@@ -22,7 +24,7 @@ import MT_1D_ForwardAndInversion
import MT_3D_Foward
import Utils_surface2ind_topo
__examples__ = ["DC_Analytic_Dipole", "DC_Forward_PseudoSection", "EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_Schenkel_Morrison_Casing", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Inversion_IRLS", "Inversion_Linear", "Mesh_Basic_ForwardDC", "Mesh_Basic_PlotImage", "Mesh_Basic_Types", "Mesh_Operators_CahnHilliard", "Mesh_QuadTree_Creation", "Mesh_QuadTree_FaceDiv", "Mesh_QuadTree_HangingNodes", "Mesh_Tensor_Creation", "MT_1D_ForwardAndInversion", "MT_3D_Foward", "Utils_surface2ind_topo"]
__examples__ = ["DC_Analytic_Dipole", "DC_Forward_PseudoSection", "EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_Schenkel_Morrison_Casing", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Inversion_IRLS", "Inversion_Linear", "Maps_ComboMaps", "Maps_Mesh2Mesh", "Mesh_Basic_ForwardDC", "Mesh_Basic_PlotImage", "Mesh_Basic_Types", "Mesh_Operators_CahnHilliard", "Mesh_QuadTree_Creation", "Mesh_QuadTree_FaceDiv", "Mesh_QuadTree_HangingNodes", "Mesh_Tensor_Creation", "MT_1D_ForwardAndInversion", "MT_3D_Foward", "Utils_surface2ind_topo"]
##### AUTOIMPORTS #####
@@ -38,7 +40,7 @@ if __name__ == '__main__':
# Create the examples dir in the docs folder.
fName = os.path.realpath(__file__)
docExamplesDir = os.path.sep.join(fName.split(os.path.sep)[:-3] + ['docs', 'examples'])
docExamplesDir = os.path.sep.join(fName.split(os.path.sep)[:-3] + ['docs', 'content', 'examples'])
shutil.rmtree(docExamplesDir)
os.makedirs(docExamplesDir)
@@ -95,12 +97,12 @@ if __name__ == '__main__':
from SimPEG import Examples
Examples.%s.run()
.. literalinclude:: ../../SimPEG/Examples/%s.py
.. literalinclude:: ../../../SimPEG/Examples/%s.py
:language: python
:linenos:
"""%(name,doc,name,name)
rst = os.path.sep.join((filePath.split(os.path.sep)[:-3] + ['docs', 'examples', name + '.rst']))
rst = os.path.sep.join((filePath.split(os.path.sep)[:-3] + ['docs', 'content', 'examples', name + '.rst']))
print 'Creating: %s.rst'%name
f = open(rst, 'w')
+2 -2
View File
@@ -31,7 +31,7 @@ class NonLinearMap(object):
"""
:param numpy.array u: fields
:param numpy.array m: model
:rtype: scipy.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: derivative of transformed model
The *transform* changes the model into the physical property.
@@ -44,7 +44,7 @@ class NonLinearMap(object):
"""
:param numpy.array u: fields
:param numpy.array m: model
:rtype: scipy.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: derivative of transformed model
The *transform* changes the model into the physical property.
+2 -2
View File
@@ -86,7 +86,7 @@ class polxy_1Dprimary(BaseMTSrc):
Get the electrical field source
"""
e_p = self.ePrimary(problem)
Map_sigma_p = Maps.Vertical1DMap(problem.mesh)
Map_sigma_p = Maps.SurjectVertical1D(problem.mesh)
sigma_p = Map_sigma_p._transform(self.sigma1d)
# Make mass matrix
# Note: M(sig) - M(sig_p) = M(sig - sig_p)
@@ -163,7 +163,7 @@ class polxy_3Dprimary(BaseMTSrc):
Get the electrical field source
"""
e_p = self.ePrimary(problem)
Map_sigma_p = Maps.Vertical1DMap(problem.mesh)
Map_sigma_p = Maps.SurjectVertical1D(problem.mesh)
sigma_p = Map_sigma_p._transform(self.sigma1d)
# Make mass matrix
# Note: M(sig) - M(sig_p) = M(sig - sig_p)
+6 -6
View File
@@ -19,7 +19,7 @@ def getAppRes(MTdata):
zList.append(zc)
return [appResPhs(zList[i][0],np.sum(zList[i][1:3])) for i in np.arange(len(zList))]
def rotateData(MTdata,rotAngle):
def rotateData(MTdata, rotAngle):
'''
Function that rotates clockwist by rotAngle (- negative for a counter-clockwise rotation)
'''
@@ -44,19 +44,19 @@ def rotateData(MTdata,rotAngle):
return MT.Data.fromRecArray(outRec)
def appResPhs(freq,z):
def appResPhs(freq, z):
app_res = ((1./(8e-7*np.pi**2))/freq)*np.abs(z)**2
app_phs = np.arctan2(z.imag,z.real)*(180/np.pi)
return app_res, app_phs
def skindepth(rho,freq):
def skindepth(rho, freq):
''' Function to calculate the skindepth of EM waves'''
return np.sqrt( (rho*((1/(freq * mu_0 * np.pi )))))
def rec2ndarr(x,dt=float):
def rec2ndarr(x, dt=float):
return x.view((dt, len(x.dtype.names)))
def makeAnalyticSolution(mesh,model,elev,freqs):
def makeAnalyticSolution(mesh, model, elev, freqs):
from SimPEG import MT
data1D = []
for freq in freqs:
@@ -70,7 +70,7 @@ def makeAnalyticSolution(mesh,model,elev,freqs):
dataRec = np.array(data1D,dtype=[('freq',float),('x',float),('y',float),('z',float),('zyx',complex)])
return dataRec
def plotMT1DModelData(problem,models,symList=None):
def plotMT1DModelData(problem, models, symList=None):
from SimPEG import MT
# Setup the figure
fontSize = 15
+9 -7
View File
@@ -41,8 +41,8 @@ class IdentityMap(object):
If this is a meshless mapping (i.e. nP is defined independently)
the shape will be the the shape (nP,nP).
:rtype: (int,int)
:return: shape of the operator as a tuple
:rtype: tuple
:return: shape of the operator as a tuple (int,int)
"""
if self._nP is not None:
return (self.nP, self.nP)
@@ -86,7 +86,7 @@ class IdentityMap(object):
The derivative of the transformation.
:param numpy.array m: model
:rtype: scipy.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: derivative of transformed model
"""
@@ -216,7 +216,7 @@ class ExpMap(IdentityMap):
def deriv(self, m):
"""
:param numpy.array m: model
:rtype: scipy.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: derivative of transformed model
The *transform* changes the model into the physical property.
@@ -366,7 +366,7 @@ class SurjectVertical1D(IdentityMap):
def deriv(self, m):
"""
:param numpy.array m: model
:rtype: scipy.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: derivative of transformed model
"""
repNum = self.mesh.vnC[:self.mesh.dim-1].prod()
@@ -427,7 +427,7 @@ class Surject2Dto3D(IdentityMap):
def deriv(self, m):
"""
:param numpy.array m: model
:rtype: scipy.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: derivative of transformed model
"""
inds = self * np.arange(self.nP)
@@ -502,7 +502,9 @@ class InjectActiveCells(IdentityMap):
if Utils.isScalar(valInactive):
self.valInactive = np.ones(self.nC)*float(valInactive)
else:
self.valInactive = valInactive.copy()
self.valInactive = np.ones(self.nC)
self.valInactive[self.indInactive] = valInactive.copy()
self.valInactive[self.indActive] = 0
inds = np.nonzero(self.indActive)[0]
+26 -24
View File
@@ -7,8 +7,8 @@ class BaseMesh(object):
BaseMesh does all the counting you don't want to do.
BaseMesh should be inherited by meshes with a regular structure.
:param numpy.array,list n: number of cells in each direction (dim, )
:param numpy.array,list x0: Origin of the mesh (dim, )
:param numpy.array n: (or list) number of cells in each direction (dim, )
:param numpy.array x0: (or list) Origin of the mesh (dim, )
"""
@@ -34,8 +34,8 @@ class BaseMesh(object):
"""
Origin of the mesh
:rtype: numpy.array (dim, )
:return: x0
:rtype: numpy.array
:return: x0, (dim, )
"""
return self._x0
@@ -116,8 +116,8 @@ class BaseMesh(object):
"""
Total number of edges in each direction
:rtype: numpy.array (dim, )
:return: [nEx, nEy, nEz]
:rtype: numpy.array
:return: [nEx, nEy, nEz], (dim, )
.. plot::
:include-source:
@@ -173,8 +173,8 @@ class BaseMesh(object):
"""
Total number of faces in each direction
:rtype: numpy.array (dim, )
:return: [nFx, nFy, nFz]
:rtype: numpy.array
:return: [nFx, nFy, nFz], (dim, )
.. plot::
:include-source:
@@ -200,8 +200,8 @@ class BaseMesh(object):
"""
Face Normals
:rtype: numpy.array (sum(nF), dim)
:return: normals
:rtype: numpy.array
:return: normals, (sum(nF), dim)
"""
if self.dim == 2:
nX = np.c_[np.ones(self.nFx), np.zeros(self.nFx)]
@@ -218,8 +218,8 @@ class BaseMesh(object):
"""
Edge Tangents
:rtype: numpy.array (sum(nE), dim)
:return: normals
:rtype: numpy.array
:return: normals, (sum(nE), dim)
"""
if self.dim == 2:
tX = np.c_[np.ones(self.nEx), np.zeros(self.nEx)]
@@ -236,8 +236,9 @@ class BaseMesh(object):
Given a vector, fV, in cartesian coordinates, this will project it onto the mesh using the normals
:param numpy.array fV: face vector with shape (nF, dim)
:rtype: numpy.array with shape (nF, )
:return: projected face vector
:rtype: numpy.array
:return: projected face vector, (nF, )
"""
assert isinstance(fV, np.ndarray), 'fV must be an ndarray'
assert len(fV.shape) == 2 and fV.shape[0] == self.nF and fV.shape[1] == self.dim, 'fV must be an ndarray of shape (nF x dim)'
@@ -248,8 +249,9 @@ class BaseMesh(object):
Given a vector, eV, in cartesian coordinates, this will project it onto the mesh using the tangents
:param numpy.array eV: edge vector with shape (nE, dim)
:rtype: numpy.array with shape (nE, )
:return: projected edge vector
:rtype: numpy.array
:return: projected edge vector, (nE, )
"""
assert isinstance(eV, np.ndarray), 'eV must be an ndarray'
assert len(eV.shape) == 2 and eV.shape[0] == self.nE and eV.shape[1] == self.dim, 'eV must be an ndarray of shape (nE x dim)'
@@ -295,7 +297,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Total number of cells in each direction
:rtype: numpy.array (dim, )
:rtype: numpy.array
:return: [nCx, nCy, nCz]
"""
return np.array([x for x in [self.nCx, self.nCy, self.nCz] if not x is None])
@@ -335,7 +337,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Total number of nodes in each direction
:rtype: numpy.array (dim, )
:rtype: numpy.array
:return: [nNx, nNy, nNz]
"""
return np.array([x for x in [self.nNx, self.nNy, self.nNz] if not x is None])
@@ -345,7 +347,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Number of x-edges in each direction
:rtype: numpy.array (dim, )
:rtype: numpy.array
:return: vnEx
"""
return np.array([x for x in [self.nCx, self.nNy, self.nNz] if not x is None])
@@ -355,7 +357,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Number of y-edges in each direction
:rtype: numpy.array (dim, )
:rtype: numpy.array
:return: vnEy or None if dim < 2
"""
return None if self.dim < 2 else np.array([x for x in [self.nNx, self.nCy, self.nNz] if not x is None])
@@ -365,7 +367,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Number of z-edges in each direction
:rtype: numpy.array (dim, )
:rtype: numpy.array
:return: vnEz or None if dim < 3
"""
return None if self.dim < 3 else np.array([x for x in [self.nNx, self.nNy, self.nCz] if not x is None])
@@ -375,7 +377,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Number of x-faces in each direction
:rtype: numpy.array (dim, )
:rtype: numpy.array
:return: vnFx
"""
return np.array([x for x in [self.nNx, self.nCy, self.nCz] if not x is None])
@@ -385,7 +387,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Number of y-faces in each direction
:rtype: numpy.array (dim, )
:rtype: numpy.array
:return: vnFy or None if dim < 2
"""
return None if self.dim < 2 else np.array([x for x in [self.nCx, self.nNy, self.nCz] if not x is None])
@@ -395,7 +397,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Number of z-faces in each direction
:rtype: numpy.array (dim, )
:rtype: numpy.array
:return: vnFz or None if dim < 3
"""
return None if self.dim < 3 else np.array([x for x in [self.nCx, self.nCy, self.nNz] if not x is None])
+6 -6
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@@ -68,8 +68,8 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
"""
Number of x-faces in each direction
:rtype: numpy.array (dim, )
:return: vnFx
:rtype: numpy.array
:return: vnFx, (dim, )
"""
return self.vnC
@@ -78,8 +78,8 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
"""
Number of y-edges in each direction
:rtype: numpy.array (dim, )
:return: vnEy or None if dim < 2
:rtype: numpy.array
:return: vnEy or None if dim < 2, (dim, )
"""
nNx = self.nNx if self.isSymmetric else self.nNx - 1
return np.r_[nNx, self.nCy, self.nNz]
@@ -89,8 +89,8 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
"""
Number of z-edges in each direction
:rtype: numpy.array (dim, )
:return: vnEz or None if nCy > 1
:rtype: numpy.array
:return: vnEz or None if nCy > 1, (dim, )
"""
if self.isSymmetric:
return np.r_[self.nNx, self.nNy, self.nCz]
+8 -9
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@@ -16,7 +16,7 @@ class InnerProducts(object):
:param bool invProp: inverts the material property
:param bool invMat: inverts the matrix
:param bool doFast: do a faster implementation if available.
:rtype: scipy.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: M, the inner product matrix (nF, nF)
"""
return self._getInnerProduct('F', prop=prop, invProp=invProp, invMat=invMat, doFast=doFast)
@@ -27,7 +27,7 @@ class InnerProducts(object):
:param bool invProp: inverts the material property
:param bool invMat: inverts the matrix
:param bool doFast: do a faster implementation if available.
:rtype: scipy.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: M, the inner product matrix (nE, nE)
"""
return self._getInnerProduct('E', prop=prop, invProp=invProp, invMat=invMat, doFast=doFast)
@@ -39,7 +39,7 @@ class InnerProducts(object):
:param bool invProp: inverts the material property
:param bool invMat: inverts the matrix
:param bool doFast: do a faster implementation if available.
:rtype: scipy.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: M, the inner product matrix (nE, nE)
"""
assert projType in ['F', 'E'], "projType must be 'F' for faces or 'E' for edges"
@@ -115,13 +115,12 @@ class InnerProducts(object):
:param bool doFast: do a faster implementation if available.
:param bool invProp: inverts the material property
:param bool invMat: inverts the matrix
:rtype: function
:return: dMdmu(u), the derivative of the inner product matrix (u)
Given u, dMdmu returns (nF, nC*nA)
:param np.ndarray u: vector that multiplies dMdmu
:rtype: scipy.csr_matrix
:param numpy.ndarray u: vector that multiplies dMdmu
:rtype: scipy.sparse.csr_matrix
:return: dMdmu, the derivative of the inner product matrix for a certain u
"""
return self._getInnerProductDeriv(prop, 'F', doFast=doFast, invProp=invProp, invMat=invMat)
@@ -133,7 +132,7 @@ class InnerProducts(object):
:param bool doFast: do a faster implementation if available.
:param bool invProp: inverts the material property
:param bool invMat: inverts the matrix
:rtype: scipy.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: dMdm, the derivative of the inner product matrix (nE, nC*nA)
"""
return self._getInnerProductDeriv(prop, 'E', doFast=doFast, invProp=invProp, invMat=invMat)
@@ -145,7 +144,7 @@ class InnerProducts(object):
:param bool doFast: do a faster implementation if available.
:param bool invProp: inverts the material property
:param bool invMat: inverts the matrix
:rtype: scipy.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: dMdm, the derivative of the inner product matrix (nE, nC*nA)
"""
fast = None
@@ -169,7 +168,7 @@ class InnerProducts(object):
:param numpy.array v: vector to multiply (required in the general implementation)
:param list P: list of projection matrices
:param str projType: 'F' for faces 'E' for edges
:rtype: scipy.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: dMdm, the derivative of the inner product matrix (n, nC*nA)
"""
assert projType in ['F', 'E'], "projType must be 'F' for faces or 'E' for edges"
+22 -35
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@@ -6,13 +6,11 @@ class TensorMeshIO(object):
@classmethod
def readUBC(TensorMesh, fileName):
"""
Read UBC GIF 3DTensor mesh and generate 3D Tensor mesh in simpegTD
Read UBC GIF 3D tensor mesh and generate 3D TensorMesh in SimPEG.
Input:
:param fileName, path to the UBC GIF mesh file
Output:
:param SimPEG TensorMesh object
:param string fileName: path to the UBC GIF mesh file
:rtype: TensorMesh
:return: The tensor mesh for the fileName.
"""
# Interal function to read cell size lines for the UBC mesh files.
@@ -48,11 +46,9 @@ class TensorMeshIO(object):
Read VTK Rectilinear (vtr xml file) and return SimPEG Tensor mesh and model
Input:
:param vtrFileName, path to the vtr model file to write to
Output:
:return SimPEG TensorMesh object
:return SimPEG model dictionary
:param string fileName: path to the vtr model file to read
:rtype: tuple
:return: (TensorMesh, modelDictionary)
"""
# Import
@@ -102,9 +98,8 @@ class TensorMeshIO(object):
Makes and saves a VTK rectilinear file (vtr) for a simpeg Tensor mesh and model.
Input:
:param str, path to the output vtk file
:param mesh, SimPEG TensorMesh object - mesh to be transfer to VTK
:param models, dictionary of numpy.array - Name('s) and array('s). Match number of cells
:param string fileName: path to the output vtk file
:param dict models: dictionary of numpy.array - Name('s) and array('s). Match number of cells
"""
# Import
@@ -162,12 +157,9 @@ class TensorMeshIO(object):
"""
Read UBC 3DTensor mesh model and generate 3D Tensor mesh model in simpeg
Input:
:param fileName, path to the UBC GIF mesh file to read
:param mesh, TensorMesh object, mesh that coresponds to the model
Output:
:return numpy array, model with TensorMesh ordered
:param string fileName: path to the UBC GIF mesh file to read
:rtype: numpy.ndarray
:return: model with TensorMesh ordered
"""
f = open(fileName, 'r')
model = np.array(map(float, f.readlines()))
@@ -183,8 +175,7 @@ class TensorMeshIO(object):
Writes a model associated with a SimPEG TensorMesh
to a UBC-GIF format model file.
:param str fileName: File to write to
:param simpeg.Mesh.TensorMesh mesh: The mesh
:param string fileName: File to write to
:param numpy.ndarray model: The model
"""
@@ -201,8 +192,8 @@ class TensorMeshIO(object):
"""
Writes a SimPEG TensorMesh to a UBC-GIF format mesh file.
:param str fileName: File to write to
:param simpeg.Mesh.TensorMesh mesh: The mesh
:param string fileName: File to write to
:param dict models: A dictionary of the models
"""
assert mesh.dim == 3
@@ -231,9 +222,8 @@ class TreeMeshIO(object):
"""
Write UBC ocTree mesh and model files from a simpeg ocTree mesh and model.
:param str fileName: File to write to
:param simpeg.Mesh.TreeMesh mesh: The mesh
:param dictionary models: The models in a dictionary, where the keys is the name of the of the model file
:param string fileName: File to write to
:param dict models: The models in a dictionary, where the keys is the name of the of the model file
"""
# Calculate information to write in the file.
@@ -286,10 +276,9 @@ class TreeMeshIO(object):
Input:
:param str meshFile: path to the UBC GIF OcTree mesh file to read
:rtype: SimPEG.Mesh.TreeMesh
:return: The octree mesh
Output:
:return SimPEG.Mesh.TreeMesh mesh: The octree mesh
:return list of ndarray's: models as a list of numpy array's
"""
## Read the file lines
@@ -335,11 +324,9 @@ class TreeMeshIO(object):
"""
Read UBC OcTree model and get vector
Input:
:param fileName, path to the UBC GIF model file to read
Output:
:return numpy array, OcTree model
:param string fileName: path to the UBC GIF model file to read
:rtype: numpy.ndarray
:return: OcTree model
"""
if type(fileName) is list:
+4 -4
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@@ -198,8 +198,8 @@ class BaseTensorMesh(BaseMesh):
Determines if a set of points are inside a mesh.
:param numpy.ndarray pts: Location of points to test
:rtype numpy.ndarray
:return inside, numpy array of booleans
:rtype numpy.ndarray:
:return: inside, numpy array of booleans
"""
pts = Utils.asArray_N_x_Dim(pts, self.dim)
@@ -221,7 +221,7 @@ class BaseTensorMesh(BaseMesh):
:param numpy.ndarray loc: Location of points to interpolate to
:param str locType: What to interpolate (see below)
:rtype: scipy.sparse.csr.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: M, the interpolation matrix
locType can be::
@@ -289,7 +289,7 @@ class BaseTensorMesh(BaseMesh):
:param bool returnP: returns the projection matrices
:param bool invProp: inverts the material property
:param bool invMat: inverts the matrix
:rtype: scipy.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: M, the inner product matrix (nF, nF)
"""
assert projType in ['F', 'E'], "projType must be 'F' for faces or 'E' for edges"
+1 -1
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@@ -1875,7 +1875,7 @@ class TreeMesh(BaseTensorMesh, InnerProducts, TreeMeshIO):
:param numpy.ndarray locs: Location of points to interpolate to
:param str locType: What to interpolate (see below)
:rtype: scipy.sparse.csr.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: M, the interpolation matrix
locType can be::
+5 -5
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@@ -131,7 +131,7 @@ class Minimize(object):
Minimizes the function (evalFunction) starting at the location x0.
:param def evalFunction: function handle that evaluates: f, g, H = F(x)
:param callable evalFunction: function handle that evaluates: f, g, H = F(x)
:param numpy.ndarray x0: starting location
:rtype: numpy.ndarray
:return: x, the last iterate of the optimization algorithm
@@ -372,8 +372,8 @@ class Minimize(object):
Else, a modifySearchDirectionBreak call is preformed.
:param numpy.ndarray p: searchDirection
:rtype: numpy.ndarray,bool
:return: (xt, passLS)
:rtype: tuple
:return: (xt, passLS) numpy.ndarray, bool
"""
# Projected Armijo linesearch
self._LS_t = 1
@@ -408,8 +408,8 @@ class Minimize(object):
evalFunction returns a False indicating the break was not caught.
:param numpy.ndarray p: searchDirection
:rtype: numpy.ndarray,bool
:return: (xt, breakCaught)
:rtype: tuple
:return: (xt, breakCaught) numpy.ndarray, bool
"""
self.printDone(inLS=True)
print 'The linesearch got broken. Boo.'
+53
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@@ -0,0 +1,53 @@
from SimPEG import Maps, Survey, Utils, np, sp
from scipy.constants import mu_0
import re
class LinearSurvey(Survey.BaseSurvey):
"""Base Magnetics Survey"""
rxLoc = None #: receiver locations
rxType = None #: receiver type
def __init__(self, srcField, **kwargs):
self.srcField = srcField
Survey.BaseSurvey.__init__(self, **kwargs)
def eval(self, u):
return u
@property
def nD(self):
return self.prob.G.shape[0]
@property
def nRx(self):
return self.srcField.rxList[0].locs.shape[0]
# def setBackgroundField(self, SrcField):
# if getattr(self, 'B0', None) is None:
# self._B0 = SrcField.param[0] * dipazm_2_xyz(SrcField.param[1],SrcField.param[2])
# return self._B0
class SrcField(Survey.BaseSrc):
""" Define the inducing field """
param = None #: Inducing field param (Amp, Incl, Decl)
def __init__(self, rxList, **kwargs):
super(SrcField, self).__init__(rxList, **kwargs)
class RxObs(Survey.BaseRx):
"""A station location must have be located in 3-D"""
def __init__(self, locsXYZ, **kwargs):
locs = locsXYZ
assert locsXYZ.shape[1] == 3, 'locs must in 3-D (x,y,z).'
super(RxObs, self).__init__(locs, 'tmi', storeProjections=False, **kwargs)
@property
def nD(self):
"""Number of data in the receiver."""
return self.locs[0].shape[0]
+194
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@@ -0,0 +1,194 @@
from SimPEG import Maps, Survey, Utils, np, sp
from scipy.constants import mu_0
import re
class BaseMagSurvey(Survey.BaseSurvey):
"""Base Magnetics Survey"""
rxLoc = None #: receiver locations
rxType = None #: receiver type
def __init__(self, **kwargs):
Survey.BaseSurvey.__init__(self, **kwargs)
def setBackgroundField(self, Inc, Dec, Btot):
Bx = Btot*np.cos(Inc/180.*np.pi)*np.sin(Dec/180.*np.pi)
By = Btot*np.cos(Inc/180.*np.pi)*np.cos(Dec/180.*np.pi)
Bz = -Btot*np.sin(Inc/180.*np.pi)
self.B0 = np.r_[Bx, By, Bz]
@property
def Qfx(self):
if getattr(self, '_Qfx', None) is None:
self._Qfx = self.prob.mesh.getInterpolationMat(self.rxLoc, 'Fx')
return self._Qfx
@property
def Qfy(self):
if getattr(self, '_Qfy', None) is None:
self._Qfy = self.prob.mesh.getInterpolationMat(self.rxLoc, 'Fy')
return self._Qfy
@property
def Qfz(self):
if getattr(self, '_Qfz', None) is None:
self._Qfz = self.prob.mesh.getInterpolationMat(self.rxLoc, 'Fz')
return self._Qfz
def projectFields(self, u):
"""
This function projects the fields onto the data space.
Especially, here for we use total magnetic intensity (TMI) data,
which is common in practice.
First we project our B on to data location
.. math::
\mathbf{B}_{rec} = \mathbf{P} \mathbf{B}
then we take the dot product between B and b_0
.. math ::
\\text{TMI} = \\vec{B}_s \cdot \hat{B}_0
"""
# TODO: There can be some different tyes of data like |B| or B
bfx = self.Qfx*u['B']
bfy = self.Qfy*u['B']
bfz = self.Qfz*u['B']
# Generate unit vector
B0 = self.prob.survey.B0
Bot = np.sqrt(B0[0]**2+B0[1]**2+B0[2]**2)
box = B0[0]/Bot
boy = B0[1]/Bot
boz = B0[2]/Bot
# return bfx*box + bfx*boy + bfx*boz
return bfx*box + bfy*boy + bfz*boz
@Utils.count
def projectFieldsDeriv(self, B):
"""
This function projects the fields onto the data space.
.. math::
\\frac{\partial d_\\text{pred}}{\partial \mathbf{B}} = \mathbf{P}
Especially, this function is for TMI data type
"""
# Generate unit vector
B0 = self.prob.survey.B0
Bot = np.sqrt(B0[0]**2+B0[1]**2+B0[2]**2)
box = B0[0]/Bot
boy = B0[1]/Bot
boz = B0[2]/Bot
return self.Qfx*box+self.Qfy*boy+self.Qfz*boz
def projectFieldsAsVector(self, B):
bfx = self.Qfx*B
bfy = self.Qfy*B
bfz = self.Qfz*B
return np.r_[bfx, bfy, bfz]
class LinearSurvey(Survey.BaseSurvey):
"""Base Magnetics Survey"""
rxLoc = None #: receiver locations
rxType = None #: receiver type
def __init__(self, srcField, **kwargs):
self.srcField = srcField
Survey.BaseSurvey.__init__(self, **kwargs)
def eval(self, u):
return u
@property
def nD(self):
return self.prob.G.shape[0]
@property
def nRx(self):
return self.srcField.rxList[0].locs.shape[0]
# def setBackgroundField(self, SrcField):
# if getattr(self, 'B0', None) is None:
# self._B0 = SrcField.param[0] * dipazm_2_xyz(SrcField.param[1],SrcField.param[2])
# return self._B0
class SrcField(Survey.BaseSrc):
""" Define the inducing field """
param = None #: Inducing field param (Amp, Incl, Decl)
def __init__(self, rxList, **kwargs):
super(SrcField, self).__init__(rxList, **kwargs)
class RxObs(Survey.BaseRx):
"""A station location must have be located in 3-D"""
def __init__(self, locsXYZ, **kwargs):
locs = locsXYZ
assert locsXYZ.shape[1] == 3, 'locs must in 3-D (x,y,z).'
super(RxObs, self).__init__(locs, 'tmi', storeProjections=False, **kwargs)
@property
def nD(self):
"""Number of data in the receiver."""
return self.locs[0].shape[0]
class MagSurveyBx(object):
"""docstring for MagSurveyBx"""
def __init__(self, **kwargs):
Survey.BaseData.__init__(self, **kwargs)
def projectFields(self, B):
bfx = self.Qfx*B
return bfx
class BaseMagMap(Maps.IdentityMap):
"""BaseMagMap"""
def __init__(self, mesh, **kwargs):
Maps.IdentityMap.__init__(self, mesh)
def _transform(self, m):
return mu_0*(1 + m)
def deriv(self, m):
return mu_0*sp.identity(self.nP)
class WeightMap(Maps.IdentityMap):
"""Weighted Map for distributed parameters"""
def __init__(self, nP, weight, **kwargs):
Maps.IdentityMap.__init__(self, nP)
self.mesh = None
self.weight = weight
def _transform(self, m):
return m*self.weight
def deriv(self, m):
return Utils.sdiag(self.weight)
+576
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@@ -0,0 +1,576 @@
from SimPEG import *
import BaseGrav as GRAV
import re
class GravityIntegral(Problem.BaseProblem):
# surveyPair = Survey.LinearSurvey
forwardOnly = False #: Determine if the forward matrix is stored (defaut:yes)
actInd = None #: Active cell indices provided
rtype = 'z'
def __init__(self, mesh, mapping=None, **kwargs):
Problem.BaseProblem.__init__(self, mesh, mapping=mapping, **kwargs)
def fwr_op(self):
# Add forward function
# kappa = self.curModel.kappa TODO
rho = self.mapping*self.curModel
if self.forwardOnly:
if getattr(self, 'actInd', None) is not None:
if self.actInd.dtype=='bool':
inds = np.asarray([inds for inds, elem in enumerate(self.actInd, 1) if elem], dtype = int) - 1
else:
inds = self.actInd
else:
inds = np.asarray(range(self.mesh.nC))
nC = len(inds)
# Create active cell projector
P = sp.csr_matrix(
(np.ones(nC), (inds, range(nC))),
shape=(self.mesh.nC, nC)
)
# Create vectors of nodal location (lower and upper corners for each cell)
xn = self.mesh.vectorNx
yn = self.mesh.vectorNy
zn = self.mesh.vectorNz
yn2, xn2, zn2 = np.meshgrid(yn[1:], xn[1:], zn[1:])
yn1, xn1, zn1 = np.meshgrid(yn[0:-1], xn[0:-1], zn[0:-1])
Yn = P.T*np.c_[mkvc(yn1), mkvc(yn2)]
Xn = P.T*np.c_[mkvc(xn1), mkvc(xn2)]
Zn = P.T*np.c_[mkvc(zn1), mkvc(zn2)]
rxLoc = self.survey.srcField.rxList[0].locs
ndata = rxLoc.shape[0]
# Pre-allocate space and create magnetization matrix if required
# Pre-allocate space
if self.rtype == 'z':
fwr_d = np.zeros(self.survey.nRx)
elif self.rtype == 'xyz':
fwr_d = np.zeros(3*self.survey.nRx)
else:
print """Flag must be either 'z' | 'xyz', please revised"""
return
# Add counter to dsiplay progress. Good for large problems
count = -1;
for ii in range(ndata):
tx, ty, tz = get_T_mat(Xn, Yn, Zn, rxLoc[ii, :])
if self.rtype =='z':
fwr_d[ii] =tz.dot(rho)
elif self.rtype =='xyz':
fwr_d[ii] = tx.dot(rho)
fwr_d[ii+ndata] = ty.dot(rho)
fwr_d[ii+2*ndata] = tz.dot(rho)
# Display progress
count = progress(ii,count,ndata)
print "Done 100% ...forward operator completed!!\n"
return fwr_d
else:
return self.G.dot(rho)
def fields(self, m):
self.curModel = m
fields = self.fwr_op()
return fields
# return self.G.dot(self.mapping*(m))
def Jvec(self, m, v, f=None):
dmudm = self.mapping.deriv(m)
return self.G.dot(dmudm*v)
def Jtvec(self, m, v, f=None):
dmudm = self.mapping.deriv(m)
return dmudm.T * (self.G.T.dot(v))
@property
def G(self):
if not self.ispaired:
raise Exception('Need to pair!')
if getattr(self, '_G', None) is None:
self._G = self.Intrgl_Fwr_Op( 'z' )
return self._G
def Intrgl_Fwr_Op(self, flag):
"""
Gravity forward operator in integral form
flag = 'z' | 'xyz'
Return
_G = Linear forward modeling operation
Created on March, 15th 2016
@author: dominiquef
"""
# Find non-zero cells
# inds = np.nonzero(actv)[0]
if getattr(self, 'actInd', None) is not None:
if self.actInd.dtype=='bool':
inds = np.asarray([inds for inds, elem in enumerate(self.actInd, 1) if elem], dtype = int) - 1
else:
inds = self.actInd
else:
inds = np.asarray(range(self.mesh.nC))
nC = len(inds)
# Create active cell projector
P = sp.csr_matrix(
(np.ones(nC), (inds, range(nC))),
shape=(self.mesh.nC, nC)
)
# Create vectors of nodal location (lower and upper corners for each cell)
xn = self.mesh.vectorNx
yn = self.mesh.vectorNy
zn = self.mesh.vectorNz
yn2, xn2, zn2 = np.meshgrid(yn[1:], xn[1:], zn[1:])
yn1, xn1, zn1 = np.meshgrid(yn[0:-1], xn[0:-1], zn[0:-1])
Yn = P.T*np.c_[mkvc(yn1), mkvc(yn2)]
Xn = P.T*np.c_[mkvc(xn1), mkvc(xn2)]
Zn = P.T*np.c_[mkvc(zn1), mkvc(zn2)]
rxLoc = self.survey.srcField.rxList[0].locs
ndata = rxLoc.shape[0]
# Pre-allocate space and create magnetization matrix if required
# Pre-allocate space
if flag == 'z':
G = np.zeros((ndata, nC))
elif flag == 'xyz':
G = np.zeros((int(3*ndata), nC))
else:
print """Flag must be either 'z' | 'xyz', please revised"""
return
# Loop through all observations and create forward operator (ndata-by-nC)
print "Begin calculation of forward operator: " + flag
# Add counter to dsiplay progress. Good for large problems
count = -1;
for ii in range(ndata):
if flag=='z':
tt = get_T_mat(Xn, Yn, Zn, rxLoc[ii, :])
G[ii, :] = tt
elif flag == 'xyz':
print "Sorry 3-component not implemented yet"
# Display progress
count = progress(ii, count, ndata)
print "Done 100% ...forward operator completed!!\n"
return G
def get_T_mat(Xn, Yn, Zn, rxLoc):
"""
Load in the active nodes of a tensor mesh and computes the gravity tensor
for a given observation location rxLoc[obsx, obsy, obsz]
INPUT:
Xn, Yn, Zn: Node location matrix for the lower and upper most corners of
all cells in the mesh shape[nC,2]
M
OUTPUT:
Tx = [Txx Txy Txz]
Ty = [Tyx Tyy Tyz]
Tz = [Tzx Tzy Tzz]
where each elements have dimension 1-by-nC.
Only the upper half 5 elements have to be computed since symetric.
Currently done as for-loops but will eventually be changed to vector
indexing, once the topography has been figured out.
"""
NewtG=6.6738e-3
eps = 1e-10 # add a small value to the locations to avoid /0
nC = Xn.shape[0]
# Pre-allocate space for 1D array
tx = np.zeros((1,nC))
ty = np.zeros((1,nC))
tz = np.zeros((1,nC))
dz = rxLoc[2] - Zn + eps
dy = Yn - rxLoc[1] + eps
dx = Xn - rxLoc[0] + eps
# Compute contribution from each corners
for aa in range(2):
for bb in range(2):
for cc in range(2):
r = (
dx[:, aa] ** 2 +
dy[:, bb] ** 2 +
dz[:, cc] ** 2
) ** (0.50)
tx = tx - NewtG * (-1) ** aa * (-1) ** bb * (-1) ** cc * (
dy[:, bb] * np.log(dz[:, cc] + r) +
dz[:, cc] * np.log(dy[:, bb] + r) -
dx[:, aa] * np.arctan(dy[:, bb] * dz[:, cc] / (dx[:, aa] * r)))
ty = ty - NewtG * (-1) ** aa * (-1) ** bb * (-1) ** cc * (
dx[:, aa] * np.log(dz[:, cc] + r) +
dz[:, cc] * np.log(dx[:, aa] + r) -
dy[:, bb] * np.arctan(dx[:, aa] * dz[:, cc] / (dy[:, bb] * r)))
tz = tz - NewtG * (-1) ** aa * (-1) ** bb * (-1) ** cc * (
dx[:, aa] * np.log(dy[:, bb] + r) +
dy[:, bb] * np.log(dx[:, aa] + r) -
dz[:, cc] * np.arctan(dx[:, aa] * dy[:, bb] / (dz[:, cc] * r)))
return tx,ty,tz
def progress(iter, prog, final):
"""
progress(iter,prog,final)
Function measuring the progress of a process and print to screen the %.
Useful to estimate the remaining runtime of a large problem.
Created on Dec, 20th 2015
@author: dominiquef
"""
arg = np.floor(float(iter)/float(final)*10.)
if arg > prog:
strg = "Done " + str(arg*10) + " %"
print strg
prog = arg
return prog
def writeUBCobs(filename, survey, d):
"""
writeUBCobs(filename,survey,d)
Function writing an observation file in UBC-GRAV3D format.
INPUT
filename : Name of out file including directory
survey
flag : dobs | dpred
OUTPUT
Obsfile
"""
rxLoc = survey.srcField.rxList[0].locs
wd = survey.std
data = np.c_[rxLoc, d, wd]
with file(filename, 'w') as fid:
fid.write('%i\n' % len(d))
np.savetxt(fid, data, fmt='%e', delimiter=' ', newline='\n')
print "Observation file saved to: " + filename
def getActiveTopo(mesh, topo, flag):
"""
getActiveTopo(mesh,topo)
Function creates an active cell model from topography
INPUT
mesh : Mesh in SimPEG format
topo : Scatter points defining topography [x,y,z]
OUTPUT
actv : Active cell model
"""
import scipy.interpolate as interpolation
if flag == 'N':
Zn = np.zeros((mesh.nNx, mesh.nNy))
# wght = np.zeros((mesh.nNx,mesh.nNy))
cx = mesh.vectorNx
cy = mesh.vectorNy
F = interpolation.NearestNDInterpolator(topo[:, 0:2], topo[:, 2])
[Y, X] = np.meshgrid(cy, cx)
Zn = F(X, Y)
actv = np.zeros((mesh.nCx, mesh.nCy, mesh.nCz))
if flag == 'N':
Nz = mesh.vectorNz[1:]
for jj in range(mesh.nCy):
for ii in range(mesh.nCx):
temp = [kk for kk in range(len(Nz)) if np.all(Zn[ii:(ii+2), jj:(jj+2)] > Nz[kk]) ]
actv[ii, jj, temp] = 1
actv = mkvc(actv == 1)
inds = np.asarray([inds for inds, elem in enumerate(actv, 1) if elem], dtype = int) - 1
return inds
def plot_obs_2D(survey,varstr, fig = None):
""" Function plot_obs(rxLoc,d,wd)
Generate a 2d interpolated plot from scatter points of data
INPUT
rxLoc : Observation locations [x,y,z]
d : Data vector
wd : Uncertainty vector
OUTPUT
figure()
Created on Dec, 27th 2015
@author: dominiquef
"""
from scipy.interpolate import griddata
import pylab as plt
rxLoc = survey.srcField.rxList[0].locs
d = survey.dobs
wd = survey.std
# Create grid of points
x = np.linspace(rxLoc[:,0].min(), rxLoc[:,0].max(), 100)
y = np.linspace(rxLoc[:,1].min(), rxLoc[:,1].max(), 100)
X, Y = np.meshgrid(x,y)
# Interpolate
d_grid = griddata(rxLoc[:,0:2],d,(X,Y), method ='linear')
# Plot result
if fig is None:
fig = plt.figure()
ax = plt.subplot()
plt.imshow(d_grid, extent=[x.min(), x.max(), y.min(), y.max()],origin = 'lower', cmap='plasma')
plt.colorbar(fraction=0.02)
plt.contour(X,Y, d_grid,10)
plt.scatter(rxLoc[:,0],rxLoc[:,1], c=d, s=20)
plt.title(varstr)
plt.gca().set_aspect('equal', adjustable='box')
def readUBCgravObs(obs_file):
"""
Read UBC grav file format
INPUT:
:param fileName, path to the UBC obs grav file
OUTPUT:
:param survey
"""
fid = open(obs_file,'r')
# First line has the number of rows
line = fid.readline()
ndat = np.array(line.split(),dtype=int)
# Pre-allocate space for obsx, obsy, obsz, data, uncert
line = fid.readline()
temp = np.array(line.split(),dtype=float)
d = np.zeros(ndat, dtype=float)
wd = np.zeros(ndat, dtype=float)
locXYZ = np.zeros( (ndat,3), dtype=float)
for ii in range(ndat):
temp = np.array(line.split(),dtype=float)
locXYZ[ii,:] = temp[:3]
d[ii] = temp[3]
wd[ii] = temp[4]
line = fid.readline()
rxLoc = GRAV.RxObs(locXYZ)
srcField = GRAV.SrcField([rxLoc])
survey = GRAV.LinearSurvey(srcField)
survey.dobs = d
survey.std = wd
return survey
def read_GRAVinv_inp(input_file):
"""Read input files for forward modeling MAG data with integral form
INPUT:
input_file: File name containing the forward parameter
OUTPUT:
mshfile
obsfile
topofile
start model
ref model
weightfile
chi_target
as, ax ,ay, az
upper, lower bounds
lp, lqx, lqy, lqz
# All files should be in the working directory, otherwise the path must
# be specified.
Created on Dec 21th, 2015
@author: dominiquef
"""
fid = open(input_file,'r')
# Line 1
line = fid.readline()
l_input = line.split('!')
mshfile = l_input[0].rstrip()
# Line 2
line = fid.readline()
l_input = line.split('!')
obsfile = l_input[0].rstrip()
# Line 3
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input=='null':
topofile = []
else:
topofile = l_input[0].rstrip()
# Line 4
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
mstart = float(l_input[1])
else:
mstart = l_input[0].rstrip()
# Line 5
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
mref = float(l_input[1])
else:
mref = l_input[0].rstrip()
# Line 7
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='DEFAULT':
wgtfile = None
else:
wgtfile = l_input[0].rstrip()
# Line 8
line = fid.readline()
l_input = re.split('[!\s]',line)
chi = float(l_input[0])
# Line 9
line = fid.readline()
l_input = re.split('[!\s]',line)
val = np.array(l_input[0:4])
alphas = val.astype(np.float)
# Line 10
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
val = np.array(l_input[1:3])
bounds = val.astype(np.float)
else:
bounds = l_input[0].rstrip()
# Line 11
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
val = np.array(l_input[1:6])
lpnorms = val.astype(np.float)
else:
lpnorms = l_input[0].rstrip()
return mshfile, obsfile, topofile, mstart, mref, wgtfile, chi, alphas, bounds, lpnorms
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import re, os
from SimPEG import Mesh, np, Utils
import BaseGrav, Gravity
class GravityDriver_Inv(object):
"""docstring for GravityDriver_Inv"""
def __init__(self, input_file=None):
if input_file is not None:
self.basePath = os.path.sep.join(input_file.split(os.path.sep)[:-1])
if len(self.basePath) > 0:
self.basePath += os.path.sep
self.readDriverFile(input_file.split(os.path.sep)[-1])
def readDriverFile(self, input_file):
"""
Read input files for forward modeling GRAV data with integral form
INPUT:
input_file: File name containing the forward parameter
OUTPUT:
mshfile
obsfile
topofile
start model
ref model
active cells model
weightfile
chi_target
as, ax ,ay, az
upper, lower bounds
lp, lqx, lqy, lqz
eps_p, eps_q
# All files should be in the working directory, otherwise the path must
# be specified.
"""
fid = open(self.basePath + input_file, 'r')
# Line 1
line = fid.readline()
l_input = line.split('!')
mshfile = l_input[0].rstrip()
# Line 2
line = fid.readline()
l_input = line.split('!')
obsfile = l_input[0].rstrip()
# Line 3
line = fid.readline()
l_input = re.split('[!\s]', line)
if l_input=='null':
topofile = []
else:
topofile = l_input[0].rstrip()
# Line 4
line = fid.readline()
l_input = re.split('[!\s]', line)
if l_input[0]=='VALUE':
mstart = float(l_input[1])
else:
mstart = l_input[0].rstrip()
# Line 5
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
mref = float(l_input[1])
else:
mref = l_input[0].rstrip()
# Line 6
line = fid.readline()
l_input = re.split('[!\s]', line)
if l_input[0]=='VALUE':
staticInput = float(l_input[1])
elif l_input[0]=='DEFAULT':
staticInput = None
else:
staticInput = l_input[0].rstrip()
# Line 7
line = fid.readline()
l_input = re.split('[!\s]', line)
if l_input=='DEFAULT':
wgtfile = []
else:
wgtfile = l_input[0].rstrip()
# Line 8
line = fid.readline()
l_input = re.split('[!\s]', line)
chi = float(l_input[0])
# Line 9
line = fid.readline()
l_input = re.split('[!\s]', line)
val = np.array(l_input[0:4])
alphas = val.astype(np.float)
# Line 10
line = fid.readline()
l_input = re.split('[!\s]', line)
if l_input[0]=='VALUE':
val = np.array(l_input[1:3])
bounds = val.astype(np.float)
else:
bounds = l_input[0].rstrip()
# Line 11
line = fid.readline()
l_input = re.split('[!\s]', line)
if l_input[0]=='VALUE':
val = np.array(l_input[1:6])
lpnorms = val.astype(np.float)
else:
lpnorms = l_input[0].rstrip()
# Line 12
line = fid.readline()
l_input = re.split('[!\s]', line)
if l_input[0]=='VALUE':
val = np.array(l_input[1:3])
eps = val.astype(np.float)
else:
eps = [None, None]
self.mshfile = mshfile
self.obsfile = obsfile
self.topofile = topofile
self.mstart = mstart
self._mrefInput = mref
self._staticInput = staticInput
self.wgtfile = wgtfile
self.chi = chi
self.alphas = alphas
self.bounds = bounds
self.lpnorms = lpnorms
self.eps = eps
@property
def mesh(self):
if getattr(self, '_mesh', None) is None:
self._mesh = Mesh.TensorMesh.readUBC(self.basePath + self.mshfile)
return self._mesh
@property
def survey(self):
if getattr(self, '_survey', None) is None:
self._survey = self.readGravityObservations(self.basePath + self.obsfile)
return self._survey
@property
def activeCells(self):
if getattr(self, '_activeCells', None) is None:
if self.topofile == 'null':
self._activeCells = np.arange(mesh.nC)
else:
topo = np.genfromtxt(self.basePath + self.topofile, skip_header=1)
# Find the active cells
active = Utils.surface2ind_topo(self.mesh,topo,'N')
inds = np.asarray([inds for inds, elem in enumerate(active, 1) if elem], dtype = int) - 1
self._activeCells = inds
return self._activeCells
@property
def staticCells(self):
if getattr(self, '_staticCells', None) is None:
if getattr(self, '_staticInput', None) is None:
# All cells are dynamic: 1's
self._dynamicCells = np.arange(len(self.m0))
self._staticCells = []
# Cells with specific value are static: 0's
else:
if isinstance(self._staticInput, float):
staticCells = self.m0 == self._staticInput
else:
# Read from file active cells with 0:air, 1:dynamic, -1 static
staticCells = Mesh.TensorMesh.readModelUBC(self.mesh, self.basePath + self._staticInput)
staticCells = staticCells[self.activeCells] == -1
inds = np.asarray([inds for inds, elem in enumerate(staticCells, 1) if elem], dtype = int) - 1
self._staticCells = inds
return self._staticCells
@property
def dynamicCells(self):
if getattr(self, '_dynamicCells', None) is None:
if getattr(self, '_staticInput', None) is None:
# All cells are dynamic: 1's
self._dynamicCells = np.arange(len(self.m0))
# Cells with specific value are static: 0's
else:
if isinstance(self._staticInput, float):
dynamicCells = self.m0 != self._staticInput
else:
# Read from file active cells with 0:air, 1:dynamic, -1 static
dynamicCells = Mesh.TensorMesh.readModelUBC(self.mesh, self.basePath + self._staticInput)
dynamicCells = dynamicCells[self.activeCells] == 1
inds = np.asarray([inds for inds, elem in enumerate(dynamicCells, 1) if elem], dtype = int) - 1
self._dynamicCells = inds
return self._dynamicCells
@property
def nC(self):
if getattr(self, '_nC', None) is None:
self._nC = len(self.activeCells)
return self._nC
@property
def m0(self):
if getattr(self, '_m0', None) is None:
if isinstance(self.mstart, float):
self._m0 = np.ones(self.nC) * self.mstart
else:
self._m0 = Mesh.TensorMesh.readModelUBC(self.mesh, self.basePath + self.mstart)
self._m0 = self._m0[self.activeCells]
return self._m0
@property
def mref(self):
if getattr(self, '_mref', None) is None:
if isinstance(self._mrefInput, float):
self._mref = np.ones(self.nC) * self._mrefInput
else:
self._mref = Mesh.TensorMesh.readModelUBC(self.mesh, self.basePath + self._mrefInput)
self._mref = self._mref[self.activeCells]
return self._mref
def readGravityObservations(self, obs_file):
"""
Read UBC grav file format
INPUT:
:param fileName, path to the UBC obs grav file
OUTPUT:
:param survey
"""
fid = open(obs_file,'r')
# First line has the number of rows
line = fid.readline()
ndat = np.array(line.split(),dtype=int)
# Pre-allocate space for obsx, obsy, obsz, data, uncert
line = fid.readline()
temp = np.array(line.split(),dtype=float)
d = np.zeros(ndat, dtype=float)
wd = np.zeros(ndat, dtype=float)
locXYZ = np.zeros( (ndat,3), dtype=float)
for ii in range(ndat):
temp = np.array(line.split(),dtype=float)
locXYZ[ii,:] = temp[:3]
d[ii] = temp[3]
wd[ii] = temp[4]
line = fid.readline()
rxLoc = BaseGrav.RxObs(locXYZ)
srcField = BaseGrav.SrcField([rxLoc])
survey = BaseGrav.LinearSurvey(srcField)
survey.dobs = d
survey.std = wd
return survey
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from scipy.constants import mu_0
from SimPEG import *
from SimPEG.Utils import kron3, speye, sdiag
import matplotlib.pyplot as plt
def spheremodel(mesh, x0, y0, z0, r):
"""
Generate model indicies for sphere
- (x0, y0, z0 ): is the center location of sphere
- r: is the radius of the sphere
- it returns logical indicies of cell-center model
"""
ind = np.sqrt( (mesh.gridCC[:,0]-x0)**2+(mesh.gridCC[:,1]-y0)**2+(mesh.gridCC[:,2]-z0)**2 ) < r
return ind
def MagSphereAnaFun(x, y, z, R, x0, y0, z0, mu1, mu2, H0, flag='total'):
"""
test
Analytic function for Magnetics problem. The set up here is
magnetic sphere in whole-space assuming that the inducing field is oriented in the x-direction.
* (x0,y0,z0)
* (x0, y0, z0 ): is the center location of sphere
* r: is the radius of the sphere
.. math::
\mathbf{H}_0 = H_0\hat{x}
"""
if (~np.size(x)==np.size(y)==np.size(z)):
print "Specify same size of x, y, z"
return
dim = x.shape
x = Utils.mkvc(x)
y = Utils.mkvc(y)
z = Utils.mkvc(z)
ind = np.sqrt((x-x0)**2+(y-y0)**2+(z-z0)**2 ) < R
r = Utils.mkvc(np.sqrt((x-x0)**2+(y-y0)**2+(z-z0)**2 ))
Bx = np.zeros(x.size)
By = np.zeros(x.size)
Bz = np.zeros(x.size)
# Inside of the sphere
rf2 = 3*mu1/(mu2+2*mu1)
if flag is 'total' and any(ind):
Bx[ind] = mu2*H0*(rf2)
elif (flag == 'secondary'):
Bx[ind] = mu2*H0*(rf2)-mu1*H0
By[ind] = 0.
Bz[ind] = 0.
# Outside of the sphere
rf1 = (mu2-mu1)/(mu2+2*mu1)
if (flag == 'total'):
Bx[~ind] = mu1*(H0+H0/r[~ind]**5*(R**3)*rf1*(2*(x[~ind]-x0)**2-(y[~ind]-y0)**2-(z[~ind]-z0)**2))
elif (flag == 'secondary'):
Bx[~ind] = mu1*(H0/r[~ind]**5*(R**3)*rf1*(2*(x[~ind]-x0)**2-(y[~ind]-y0)**2-(z[~ind]-z0)**2))
By[~ind] = mu1*(H0/r[~ind]**5*(R**3)*rf1*(3*(x[~ind]-x0)*(y[~ind]-y0)))
Bz[~ind] = mu1*(H0/r[~ind]**5*(R**3)*rf1*(3*(x[~ind]-x0)*(z[~ind]-z0)))
return np.reshape(Bx, x.shape, order='F'), np.reshape(By, x.shape, order='F'), np.reshape(Bz, x.shape, order='F')
def CongruousMagBC(mesh, Bo, chi):
"""
Computing boundary condition using Congrous sphere method.
This is designed for secondary field formulation.
>> Input
* mesh: Mesh class
* Bo: np.array([Box, Boy, Boz]): Primary magnetic flux
* chi: susceptibility at cell volume
.. math::
\\vec{B}(r) = \\frac{\mu_0}{4\pi} \\frac{m}{ \| \\vec{r} - \\vec{r}_0\|^3}[3\hat{m}\cdot\hat{r}-\hat{m}]
"""
ind = chi > 0.
V = mesh.vol[ind].sum()
gamma = 1/V*(chi*mesh.vol).sum() # like a mass!
Bot = np.sqrt(sum(Bo**2))
mx = Bo[0]/Bot
my = Bo[1]/Bot
mz = Bo[2]/Bot
mom = 1/mu_0*Bot*gamma*V/(1+gamma/3)
xc = sum(chi[ind]*mesh.gridCC[:,0][ind])/sum(chi[ind])
yc = sum(chi[ind]*mesh.gridCC[:,1][ind])/sum(chi[ind])
zc = sum(chi[ind]*mesh.gridCC[:,2][ind])/sum(chi[ind])
indxd, indxu, indyd, indyu, indzd, indzu = mesh.faceBoundaryInd
const = mu_0/(4*np.pi)*mom
rfun = lambda x: np.sqrt((x[:,0]-xc)**2 + (x[:,1]-yc)**2 + (x[:,2]-zc)**2)
mdotrx = (mx*(mesh.gridFx[(indxd|indxu),0]-xc)/rfun(mesh.gridFx[(indxd|indxu),:]) +
my*(mesh.gridFx[(indxd|indxu),1]-yc)/rfun(mesh.gridFx[(indxd|indxu),:]) +
mz*(mesh.gridFx[(indxd|indxu),2]-zc)/rfun(mesh.gridFx[(indxd|indxu),:]))
Bbcx = const/(rfun(mesh.gridFx[(indxd|indxu),:])**3)*(3*mdotrx*(mesh.gridFx[(indxd|indxu),0]-xc)/rfun(mesh.gridFx[(indxd|indxu),:])-mx)
mdotry = (mx*(mesh.gridFy[(indyd|indyu),0]-xc)/rfun(mesh.gridFy[(indyd|indyu),:]) +
my*(mesh.gridFy[(indyd|indyu),1]-yc)/rfun(mesh.gridFy[(indyd|indyu),:]) +
mz*(mesh.gridFy[(indyd|indyu),2]-zc)/rfun(mesh.gridFy[(indyd|indyu),:]))
Bbcy = const/(rfun(mesh.gridFy[(indyd|indyu),:])**3)*(3*mdotry*(mesh.gridFy[(indyd|indyu),1]-yc)/rfun(mesh.gridFy[(indyd|indyu),:])-my)
mdotrz = (mx*(mesh.gridFz[(indzd|indzu),0]-xc)/rfun(mesh.gridFz[(indzd|indzu),:]) +
my*(mesh.gridFz[(indzd|indzu),1]-yc)/rfun(mesh.gridFz[(indzd|indzu),:]) +
mz*(mesh.gridFz[(indzd|indzu),2]-zc)/rfun(mesh.gridFz[(indzd|indzu),:]))
Bbcz = const/(rfun(mesh.gridFz[(indzd|indzu),:])**3)*(3*mdotrz*(mesh.gridFz[(indzd|indzu),2]-zc)/rfun(mesh.gridFz[(indzd|indzu),:])-mz)
return np.r_[Bbcx, Bbcy, Bbcz], (1/gamma-1/(3+gamma))*1/V
def MagSphereAnaFunA(x, y, z, R, xc, yc, zc, chi, Bo, flag):
"""
Computing boundary condition using Congrous sphere method.
This is designed for secondary field formulation.
>> Input
mesh: Mesh class
Bo: np.array([Box, Boy, Boz]): Primary magnetic flux
Chi: susceptibility at cell volume
.. math::
\\vec{B}(r) = \\frac{\mu_0}{4\pi}\\frac{m}{\| \\vec{r}-\\vec{r}_0\|^3}[3\hat{m}\cdot\hat{r}-\hat{m}]
"""
if (~np.size(x)==np.size(y)==np.size(z)):
print "Specify same size of x, y, z"
return
dim = x.shape
x = Utils.mkvc(x)
y = Utils.mkvc(y)
z = Utils.mkvc(z)
Bot = np.sqrt(sum(Bo**2))
mx = Bo[0]/Bot
my = Bo[1]/Bot
mz = Bo[2]/Bot
ind = np.sqrt((x-xc)**2+(y-yc)**2+(z-zc)**2 ) < R
Bx = np.zeros(x.size)
By = np.zeros(x.size)
Bz = np.zeros(x.size)
# Inside of the sphere
rf2 = 3/(chi+3)*(1+chi)
if (flag == 'total'):
Bx[ind] = Bo[0]*(rf2)
By[ind] = Bo[1]*(rf2)
Bz[ind] = Bo[2]*(rf2)
elif (flag == 'secondary'):
Bx[ind] = Bo[0]*(rf2)-Bo[0]
By[ind] = Bo[1]*(rf2)-Bo[1]
Bz[ind] = Bo[2]*(rf2)-Bo[2]
r = Utils.mkvc(np.sqrt((x-xc)**2+(y-yc)**2+(z-zc)**2 ))
V = 4*np.pi*R**3/3
mom = Bot/mu_0*chi/(1+chi/3)*V
const = mu_0/(4*np.pi)*mom
mdotr = (mx*(x[~ind]-xc)/r[~ind] + my*(y[~ind]-yc)/r[~ind] + mz*(z[~ind]-zc)/r[~ind])
Bx[~ind] = const/(r[~ind]**3)*(3*mdotr*(x[~ind]-xc)/r[~ind]-mx)
By[~ind] = const/(r[~ind]**3)*(3*mdotr*(y[~ind]-yc)/r[~ind]-my)
Bz[~ind] = const/(r[~ind]**3)*(3*mdotr*(z[~ind]-zc)/r[~ind]-mz)
return Bx, By, Bz
def IDTtoxyz(Inc, Dec, Btot):
"""
Convert from Inclination, Declination, Total intensity of earth field to x, y, z
"""
Bx = Btot*np.cos(Inc/180.*np.pi)*np.sin(Dec/180.*np.pi)
By = Btot*np.cos(Inc/180.*np.pi)*np.cos(Dec/180.*np.pi)
Bz = -Btot*np.sin(Inc/180.*np.pi)
return np.r_[Bx, By, Bz]
def MagSphereFreeSpace(x, y, z, R, xc, yc, zc, chi, Bo):
"""
Computing boundary condition using Congrous sphere method.
This is designed for secondary field formulation.
>> Input
mesh: Mesh class
Bo: np.array([Box, Boy, Boz]): Primary magnetic flux
Chi: susceptibility at cell volume
.. math::
\\vec{B}(r) = \\frac{\mu_0}{4\pi}\\frac{m}{\| \\vec{r}-\\vec{r}_0\|^3}[3\hat{m}\cdot\hat{r}-\hat{m}]
"""
if (~np.size(x)==np.size(y)==np.size(z)):
print "Specify same size of x, y, z"
return
x = Utils.mkvc(x)
y = Utils.mkvc(y)
z = Utils.mkvc(z)
nobs = len(x)
Bot = np.sqrt(sum(Bo**2))
mx = np.ones([nobs]) * Bo[0,0] * R**3 / 3. * chi
my = np.ones([nobs]) * Bo[0,1] * R**3 / 3. * chi
mz = np.ones([nobs]) * Bo[0,2] * R**3 / 3. * chi
M = np.c_[mx, my, mz]
rx = (x - xc)
ry = (y - yc)
rz = (zc - z)
rvec = np.c_[rx, ry, rz]
r = np.sqrt((rx)**2+(ry)**2+(rz)**2 )
B = -Utils.sdiag(1./r**3)*M + Utils.sdiag((3 * np.sum(M*rvec,axis=1))/r**5)*rvec
Bx = B[:,0]
By = B[:,1]
Bz = B[:,2]
return Bx, By, Bz
if __name__ == '__main__':
hxind = [(0,25,1.3),(21, 12.5),(0,25,1.3)]
hyind = [(0,25,1.3),(21, 12.5),(0,25,1.3)]
hzind = [(0,25,1.3),(20, 12.5),(0,25,1.3)]
# hx, hy, hz = Utils.meshTensors(hxind, hyind, hzind)
M3 = Mesh.TensorMesh([hxind, hyind, hzind], "CCC")
indxd, indxu, indyd, indyu, indzd, indzu = M3.faceBoundaryInd
mu0 = 4*np.pi*1e-7
chibkg = 0.
chiblk = 0.01
chi = np.ones(M3.nC)*chibkg
sph_ind = spheremodel(M3, 0, 0, 0, 100)
chi[sph_ind] = chiblk
mu = (1.+chi)*mu0
Bbc, const = CongruousMagBC(M3, np.array([1., 0., 0.]), chi)
flag = 'secondary'
Box = 1.
H0 = Box/mu_0
Bbcxx, Bbcxy, Bbcxz = MagSphereAnaFun(M3.gridFx[(indxd|indxu),0], M3.gridFx[(indxd|indxu),1], M3.gridFx[(indxd|indxu),2], 100, 0., 0., 0., mu_0, mu_0*(1+chiblk), H0, flag)
Bbcyx, Bbcyy, Bbcyz = MagSphereAnaFun(M3.gridFy[(indyd|indyu),0], M3.gridFy[(indyd|indyu),1], M3.gridFy[(indyd|indyu),2], 100, 0., 0., 0., mu_0, mu_0*(1+chiblk), H0, flag)
Bbczx, Bbczy, Bbczz = MagSphereAnaFun(M3.gridFz[(indzd|indzu),0], M3.gridFz[(indzd|indzu),1], M3.gridFz[(indzd|indzu),2], 100, 0., 0., 0., mu_0, mu_0*(1+chiblk), H0, flag)
Bbc_ana = np.r_[Bbcxx, Bbcyy, Bbczz]
# fig, ax = plt.subplots(1,1, figsize = (10, 10))
# ax.plot(Bbc_ana)
# ax.plot(Bbc)
# plt.show()
err = np.linalg.norm(Bbc-Bbc_ana)/np.linalg.norm(Bbc_ana)
if err < 0.1:
print 'Mag Boundary computation is valid, err = ', err
else:
print 'Mag Boundary computation is wrong!!, err = ', err
pass
File diff suppressed because it is too large Load Diff
+334
View File
@@ -0,0 +1,334 @@
import re, os
from SimPEG import Mesh, np, Utils
import BaseMag, Magnetics
class MagneticsDriver_Inv(object):
"""docstring for MagneticsDriver_Inv"""
def __init__(self, input_file=None):
if input_file is not None:
self.basePath = os.path.sep.join(input_file.split(os.path.sep)[:-1])
if len(self.basePath) > 0:
self.basePath += os.path.sep
self.readDriverFile(input_file.split(os.path.sep)[-1])
def readDriverFile(self, input_file):
"""
Read input files for forward modeling MAG data with integral form
INPUT:
input_file: File name containing the forward parameter
OUTPUT:
mshfile
obsfile
topofile
start model
ref model
mag model
weightfile
chi_target
as, ax ,ay, az
upper, lower bounds
lp, lqx, lqy, lqz
# All files should be in the working directory, otherwise the path must
# be specified.
"""
fid = open(self.basePath + input_file,'r')
# Line 1
line = fid.readline()
l_input = line.split('!')
mshfile = l_input[0].rstrip()
# Line 2
line = fid.readline()
l_input = line.split('!')
obsfile = l_input[0].rstrip()
# Line 3
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input=='null':
topofile = []
else:
topofile = l_input[0].rstrip()
# Line 4
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
mstart = float(l_input[1])
else:
mstart = l_input[0].rstrip()
# Line 5
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
mref = float(l_input[1])
else:
mref = l_input[0].rstrip()
# Line 6
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
staticInput = float(l_input[1])
elif l_input[0]=='DEFAULT':
staticInput = None
else:
staticInput = l_input[0].rstrip()
# Line 7
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input=='DEFAULT':
magfile = []
else:
magfile = l_input[0].rstrip()
# Line 8
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input=='DEFAULT':
wgtfile = []
else:
wgtfile = l_input[0].rstrip()
# Line 9
line = fid.readline()
l_input = re.split('[!\s]',line)
chi = float(l_input[0])
# Line 10
line = fid.readline()
l_input = re.split('[!\s]',line)
val = np.array(l_input[0:4])
alphas = val.astype(np.float)
# Line 11
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
val = np.array(l_input[1:3])
bounds = val.astype(np.float)
else:
bounds = l_input[0].rstrip()
# Line 12
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
val = np.array(l_input[1:6])
lpnorms = val.astype(np.float)
else:
lpnorms = l_input[0].rstrip()
# Line 13
line = fid.readline()
l_input = re.split('[!\s]',line)
if l_input[0]=='VALUE':
val = np.array(l_input[1:3])
eps = val.astype(np.float)
else:
eps = [None,None]
self.mshfile = mshfile
self.obsfile = obsfile
self.topofile = topofile
self.mstart = mstart
self._mrefInput = mref
self._staticInput = staticInput
self.magfile = magfile
self.wgtfile = wgtfile
self.chi = chi
self.alphas = alphas
self.bounds = bounds
self.lpnorms = lpnorms
self.eps = eps
@property
def mesh(self):
if getattr(self, '_mesh', None) is None:
self._mesh = Mesh.TensorMesh.readUBC(self.basePath + self.mshfile)
return self._mesh
@property
def survey(self):
if getattr(self, '_survey', None) is None:
self._survey = self.readMagneticsObservations(self.obsfile)
return self._survey
@property
def activeCells(self):
if getattr(self, '_activeCells', None) is None:
if self.topofile == 'null':
self._activeCells = np.arange(self.mesh.nC)
else:
topo = np.genfromtxt(self.basePath + self.topofile, skip_header=1)
# Find the active cells
active = Utils.surface2ind_topo(self.mesh,topo,'N')
inds = np.asarray([inds for inds, elem in enumerate(active, 1) if elem], dtype = int) - 1
self._activeCells = inds
return self._activeCells
@property
def staticCells(self):
if getattr(self, '_staticCells', None) is None:
if getattr(self, '_staticInput', None) is None:
# All cells are dynamic: 1's
self._dynamicCells = np.arange(len(self.m0))
self._staticCells = []
# Cells with specific value are static: 0's
else:
if isinstance(self._staticInput, float):
staticCells = self.m0 == self._staticInput
else:
# Read from file active cells with 0:air, 1:dynamic, -1 static
staticCells = Mesh.TensorMesh.readModelUBC(self.mesh, self.basePath + self._staticInput)
staticCells = staticCells[self.activeCells] == -1
inds = np.asarray([inds for inds, elem in enumerate(staticCells, 1) if elem], dtype = int) - 1
self._staticCells = inds
return self._staticCells
@property
def dynamicCells(self):
if getattr(self, '_dynamicCells', None) is None:
if getattr(self, '_staticInput', None) is None:
# All cells are dynamic: 1's
self._dynamicCells = np.arange(len(self.m0))
# Cells with specific value are static: 0's
else:
if isinstance(self._staticInput, float):
dynamicCells = self.m0 != self._staticInput
else:
# Read from file active cells with 0:air, 1:dynamic, -1 static
dynamicCells = Mesh.TensorMesh.readModelUBC(self.mesh, self.basePath + self._staticInput)
dynamicCells = dynamicCells[self.activeCells] == 1
inds = np.asarray([inds for inds, elem in enumerate(dynamicCells, 1) if elem], dtype = int) - 1
self._dynamicCells = inds
return self._dynamicCells
@property
def nC(self):
if getattr(self, '_nC', None) is None:
self._nC = len(self.activeCells)
return self._nC
@property
def m0(self):
if getattr(self, '_m0', None) is None:
if isinstance(self.mstart, float):
self._m0 = np.ones(self.nC) * self.mstart
else:
self._m0 = Mesh.TensorMesh.readModelUBC(self.mesh,self.basePath + self.mstart)
self._m0 = self._m0[self.activeCells]
return self._m0
@property
def mref(self):
if getattr(self, '_mref', None) is None:
if isinstance(self._mrefInput, float):
self._mref = np.ones(self.nC) * self._mrefInput
else:
self._mref = Mesh.TensorMesh.readModelUBC(self.mesh,self.basePath + self._mrefInput)
self._mref = self._mref[self.activeCells]
return self._mref
@property
def magnetizationModel(self):
"""
magnetization vector
"""
if self.magfile == 'DEFAULT':
return Magnetics.dipazm_2_xyz(np.ones(self.nC) * self.survey.srcField.param[1], np.ones(self.nC) * self.survey.srcField.param[2])
else:
raise NotImplementedError("this will require you to read in a three column vector model")
self._mref = Utils.meshutils.readUBCTensorModel(self.basePath + self._mrefInput, self.mesh)
return np.genfromtxt(self.magfile,delimiter=' \n',dtype=np.str,comments='!')
def readMagneticsObservations(self, obs_file):
"""
Read and write UBC mag file format
INPUT:
:param fileName, path to the UBC obs mag file
OUTPUT:
:param survey
:param M, magnetization orentiaton (MI, MD)
"""
fid = open(self.basePath + obs_file,'r')
# First line has the inclination,declination and amplitude of B0
line = fid.readline()
B = np.array(line.split(),dtype=float)
# Second line has the magnetization orientation and a flag
line = fid.readline()
M = np.array(line.split(),dtype=float)
# Third line has the number of rows
line = fid.readline()
ndat = np.array(line.split(),dtype=int)
# Pre-allocate space for obsx, obsy, obsz, data, uncert
line = fid.readline()
temp = np.array(line.split(),dtype=float)
d = np.zeros(ndat, dtype=float)
wd = np.zeros(ndat, dtype=float)
locXYZ = np.zeros( (ndat,3), dtype=float)
for ii in range(ndat):
temp = np.array(line.split(),dtype=float)
locXYZ[ii,:] = temp[:3]
if len(temp) > 3:
d[ii] = temp[3]
if len(temp)==5:
wd[ii] = temp[4]
line = fid.readline()
rxLoc = BaseMag.RxObs(locXYZ)
srcField = BaseMag.SrcField([rxLoc],param=(B[2],B[0],B[1]))
survey = BaseMag.LinearSurvey(srcField)
survey.dobs = d
survey.std = wd
return survey
+7
View File
@@ -0,0 +1,7 @@
import MagAnalytics
import BaseMag
import Magnetics
import BaseGrav
import Gravity
import MagneticsDriver
import GravityDriver
+1 -1
View File
@@ -187,7 +187,7 @@ class _PropMapMetaClass(type):
attrs[attr + 'Model'] = prop._getModelProperty()
attrs[attr + 'Deriv'] = prop._getModelDerivProperty()
return type(name.replace('PropMap', 'PropModel'), (PropModel, ), attrs)
return type('PropModel', (PropModel, ), attrs)
class PropMap(object):
+6 -6
View File
@@ -10,7 +10,7 @@ class RegularizationMesh(object):
are not necessarily true differential operators, but are constructed from
a SimPEG Mesh.
:param Mesh mesh: problem mesh
:param BaseMesh mesh: problem mesh
:param numpy.array indActive: bool array, size nC, that is True where we have active cells. Used to reduce the operators so we regularize only on active cells
"""
@@ -383,8 +383,8 @@ class BaseRegularization(object):
:param numpy.array m: geophysical model
:param numpy.array v: vector to multiply
:rtype: scipy.sparse.csr_matrix or numpy.ndarray
:return: WtW or WtW*v
:rtype: scipy.sparse.csr_matrix
:return: WtW, or if v is supplied WtW*v (numpy.ndarray)
The regularization is:
@@ -650,8 +650,8 @@ class Tikhonov(Simple):
Note if the key word argument `mrefInSmooth` is False, then mref is not
included in the smoothness contribution.
:param Mesh mesh: SimPEG mesh
:param Maps mapping: regularization mapping, takes the model from model space to the thing you want to regularize
:param BaseMesh mesh: SimPEG mesh
:param IdentityMap mapping: regularization mapping, takes the model from model space to the thing you want to regularize
:param numpy.ndarray indActive: active cell indices for reducing the size of differential operators in the definition of a regularization mesh
:param bool mrefInSmooth: (default = False) put mref in the smoothness component?
:param float alpha_s: (default 1e-6) smallness weight
@@ -671,7 +671,7 @@ class Tikhonov(Simple):
alpha_yy = Utils.dependentProperty('_alpha_yy', 0.0, ['_W', '_Wyy'], "Weight for the second derivative in the y direction")
alpha_zz = Utils.dependentProperty('_alpha_zz', 0.0, ['_W', '_Wzz'], "Weight for the second derivative in the z direction")
def __init__(self, mesh, mapping=None, indActive = None, **kwargs):
def __init__(self, mesh, mapping=None, indActive=None, **kwargs):
BaseRegularization.__init__(self, mesh, mapping=mapping, indActive=indActive, **kwargs)
@property
+2 -3
View File
@@ -311,7 +311,6 @@ class BaseSurvey(object):
if f is None: f = self.prob.fields(m)
return Utils.mkvc(self.eval(f))
@Utils.count
def eval(self, f):
"""eval(f)
@@ -322,7 +321,7 @@ class BaseSurvey(object):
d_\\text{pred} = \mathbf{P} f(m)
"""
raise NotImplemented('eval is not yet implemented.')
raise NotImplementedError('eval is not yet implemented.')
@Utils.count
def evalDeriv(self, f):
@@ -334,7 +333,7 @@ class BaseSurvey(object):
\\frac{\partial d_\\text{pred}}{\partial u} = \mathbf{P}
"""
raise NotImplemented('eval is not yet implemented.')
raise NotImplementedError('eval is not yet implemented.')
@Utils.count
def residual(self, m, f=None):
+1 -1
View File
@@ -237,7 +237,7 @@ def checkDerivative(fctn, x0, num=7, plotIt=True, dx=None, expectedOrder=2, tole
Compares error decay of 0th and 1st order Taylor approximation at point
x0 for a randomized search direction.
:param lambda fctn: function handle
:param callable fctn: function handle
:param numpy.array x0: point at which to check derivative
:param int num: number of times to reduce step length, h
:param bool plotIt: if you would like to plot
+13 -13
View File
@@ -7,11 +7,11 @@ def addBlock(gridCC, modelCC, p0, p1, blockProp):
"""
Add a block to an exsisting cell centered model, modelCC
:param numpy.array, gridCC: mesh.gridCC is the cell centered grid
:param numpy.array, modelCC: cell centered model
:param numpy.array, p0: bottom, southwest corner of block
:param numpy.array, p1: top, northeast corner of block
:blockProp float, blockProp: property to assign to the model
:param numpy.array gridCC: mesh.gridCC is the cell centered grid
:param numpy.array modelCC: cell centered model
:param numpy.array p0: bottom, southwest corner of block
:param numpy.array p1: top, northeast corner of block
:blockProp float blockProp: property to assign to the model
:return numpy.array, modelBlock: model with block
"""
@@ -147,7 +147,7 @@ def getIndicesSphere(center,radius,ccMesh):
if dimMesh == 1:
# Define the reference points
ind = np.abs(center[0] - ccMesh[:,0]) < radius
elif dimMesh == 2:
@@ -222,14 +222,14 @@ def layeredModel(ccMesh, layerTops, layerValues):
:param numpy.array ccMesh: cell-centered mesh
:param numpy.array layerTops: z-locations of the tops of each layer
:param numpy.array layerValue: values of the property to assign for each layer (starting at the top)
:param numpy.array layerValue: values of the property to assign for each layer (starting at the top)
:rtype: numpy.array
:return: M, layered model on the mesh
:return: M, layered model on the mesh
"""
descending = np.linalg.norm(sorted(layerTops, reverse=True) - layerTops) < 1e-20
# TODO: put an error check to make sure that there is an ordering... needs to work with inf elts
# TODO: put an error check to make sure that there is an ordering... needs to work with inf elts
# assert ascending or descending, "Layers must be listed in either ascending or descending order"
# start from bottom up
@@ -253,10 +253,10 @@ def layeredModel(ccMesh, layerTops, layerValues):
model = np.zeros(ccMesh.shape[0])
for i, top in enumerate(layerTops):
zind = z <= top
zind = z <= top
model[zind] = layerValues[i]
return model
return model
@@ -265,9 +265,9 @@ def randomModel(shape, seed=None, anisotropy=None, its=100, bounds=None):
Create a random model by convolving a kernel with a
uniformly distributed model.
:param int,tuple shape: shape of the model.
:param tuple shape: shape of the model.
:param int seed: pick which model to produce, prints the seed if you don't choose.
:param numpy.ndarray,list anisotropy: this is the (3 x n) blurring kernel that is used.
:param numpy.ndarray anisotropy: this is the (3 x n) blurring kernel that is used.
:param int its: number of smoothing iterations
:param list bounds: bounds on the model, len(list) == 2
:rtype: numpy.ndarray
+7 -7
View File
@@ -13,7 +13,7 @@ def _checkAccuracy(A, b, X, accuracyTol):
warnings.warn(msg, RuntimeWarning)
def SolverWrapD(fun, factorize=True, checkAccuracy=True, accuracyTol=1e-6):
def SolverWrapD(fun, factorize=True, checkAccuracy=True, accuracyTol=1e-6, name=None):
"""
Wraps a direct Solver.
@@ -72,11 +72,11 @@ def SolverWrapD(fun, factorize=True, checkAccuracy=True, accuracyTol=1e-6):
if factorize and hasattr(self.solver, 'clean'):
return self.solver.clean()
return type(fun.__name__+'_Wrapped', (object,), {"__init__": __init__, "clean": clean, "__mul__": __mul__})
return type(name if name is not None else fun.__name__, (object,), {"__init__": __init__, "clean": clean, "__mul__": __mul__})
def SolverWrapI(fun, checkAccuracy=True, accuracyTol=1e-5):
def SolverWrapI(fun, checkAccuracy=True, accuracyTol=1e-5, name=None):
"""
Wraps an iterative Solver.
@@ -128,13 +128,13 @@ def SolverWrapI(fun, checkAccuracy=True, accuracyTol=1e-5):
def clean(self):
pass
return type(fun.__name__+'_Wrapped', (object,), {"__init__": __init__, "clean": clean, "__mul__": __mul__})
return type(name if name is not None else fun.__name__, (object,), {"__init__": __init__, "clean": clean, "__mul__": __mul__})
from scipy.sparse import linalg
Solver = SolverWrapD(linalg.spsolve, factorize=False)
SolverLU = SolverWrapD(linalg.splu, factorize=True)
SolverCG = SolverWrapI(linalg.cg)
Solver = SolverWrapD(linalg.spsolve, factorize=False, name="Solver")
SolverLU = SolverWrapD(linalg.splu, factorize=True, name="SolverLU")
SolverCG = SolverWrapI(linalg.cg, name="SolverCG")
class SolverDiag(object):
+1 -1
View File
@@ -25,7 +25,7 @@ def interpmat(locs, x, y=None, z=None):
:param numpy.ndarray x: Tensor vector of 1st dimension of grid.
:param numpy.ndarray y: Tensor vector of 2nd dimension of grid. None by default.
:param numpy.ndarray z: Tensor vector of 3rd dimension of grid. None by default.
:rtype: scipy.sparse.csr.csr_matrix
:rtype: scipy.sparse.csr_matrix
:return: Interpolation matrix
.. plot::
+6 -6
View File
@@ -27,7 +27,7 @@ def mkvc(x, numDims=1):
if isinstance(x, Zero):
return x
assert isinstance(x, np.ndarray), "Vector must be a numpy array"
if numDims == 1:
@@ -355,9 +355,9 @@ def diagEst(matFun, n, k=None, approach='Probing'):
2. Ones : random +/- 1 entries
3. Random : random vectors
:param lambda (numpy.array) matFun: matrix to estimate the diagonal of
:param int64 n: size of the vector that should be used to compute matFun(v)
:param int64 k: number of vectors to be used to estimate the diagonal
:param callable matFun: takes a (numpy.array) and multiplies it by a matrix to estimate the diagonal
:param int n: size of the vector that should be used to compute matFun(v)
:param int k: number of vectors to be used to estimate the diagonal
:param str approach: approach to be used for getting vectors
:rtype: numpy.array
:return: est_diag(A)
@@ -422,9 +422,9 @@ class Zero(object):
def __ge__(self, v):return 0 >= v
def __gt__(self, v):return 0 > v
@property
@property
def transpose(self): return Zero()
@property
def T(self): return Zero()
+18 -14
View File
@@ -83,7 +83,7 @@ def closestPoints(mesh, pts, gridLoc='CC'):
"""
Move a list of points to the closest points on a grid.
:param simpeg.Mesh.BaseMesh mesh: The mesh
:param BaseMesh mesh: The mesh
:param numpy.ndarray pts: Points to move
:param string gridLoc: ['CC', 'N', 'Fx', 'Fy', 'Fz', 'Ex', 'Ex', 'Ey', 'Ez']
:rtype: numpy.ndarray
@@ -104,16 +104,20 @@ def closestPoints(mesh, pts, gridLoc='CC'):
def ExtractCoreMesh(xyzlim, mesh, meshType='tensor'):
"""
Extracts Core Mesh from Global mesh
xyzlim: 2D array [ndim x 2]
mesh: SimPEG mesh
This function ouputs:
- actind: corresponding boolean index from global to core
- meshcore: core SimPEG mesh
Warning: 1D and 2D has not been tested
Extracts Core Mesh from Global mesh
:param numpy.ndarray xyzlim: 2D array [ndim x 2]
:param BaseMesh mesh: The mesh
This function ouputs::
- actind: corresponding boolean index from global to core
- meshcore: core SimPEG mesh
Warning: 1D and 2D has not been tested
"""
from SimPEG import Mesh
if mesh.dim ==1:
if mesh.dim == 1:
xyzlim = xyzlim.flatten()
xmin, xmax = xyzlim[0], xyzlim[1]
@@ -125,11 +129,11 @@ def ExtractCoreMesh(xyzlim, mesh, meshType='tensor'):
x0 = [xc[0]-hx[0]*0.5, yc[0]-hy[0]*0.5]
meshCore = Mesh.TensorMesh([hx, hy] ,x0=x0)
meshCore = Mesh.TensorMesh([hx, hy], x0=x0)
actind = (mesh.gridCC[:,0]>xmin) & (mesh.gridCC[:,0]<xmax)
elif mesh.dim ==2:
elif mesh.dim == 2:
xmin, xmax = xyzlim[0,0], xyzlim[0,1]
ymin, ymax = xyzlim[1,0], xyzlim[1,1]
@@ -144,12 +148,12 @@ def ExtractCoreMesh(xyzlim, mesh, meshType='tensor'):
x0 = [xc[0]-hx[0]*0.5, yc[0]-hy[0]*0.5]
meshCore = Mesh.TensorMesh([hx, hy] ,x0=x0)
meshCore = Mesh.TensorMesh([hx, hy], x0=x0)
actind = (mesh.gridCC[:,0]>xmin) & (mesh.gridCC[:,0]<xmax) \
& (mesh.gridCC[:,1]>ymin) & (mesh.gridCC[:,1]<ymax) \
elif mesh.dim==3:
elif mesh.dim == 3:
xmin, xmax = xyzlim[0,0], xyzlim[0,1]
ymin, ymax = xyzlim[1,0], xyzlim[1,1]
zmin, zmax = xyzlim[2,0], xyzlim[2,1]
@@ -168,7 +172,7 @@ def ExtractCoreMesh(xyzlim, mesh, meshType='tensor'):
x0 = [xc[0]-hx[0]*0.5, yc[0]-hy[0]*0.5, zc[0]-hz[0]*0.5]
meshCore = Mesh.TensorMesh([hx, hy, hz] ,x0=x0)
meshCore = Mesh.TensorMesh([hx, hy, hz], x0=x0)
actind = (mesh.gridCC[:,0]>xmin) & (mesh.gridCC[:,0]<xmax) \
& (mesh.gridCC[:,1]>ymin) & (mesh.gridCC[:,1]<ymax) \
+1 -1
View File
@@ -15,7 +15,7 @@ import Directives
import Inversion
import Tests
__version__ = '0.1.10'
__version__ = '0.1.12'
__author__ = 'Rowan Cockett'
__license__ = 'MIT'
__copyright__ = 'Copyright 2014 Rowan Cockett'
+1 -1
View File
@@ -2,7 +2,7 @@
#
# You can set these variables from the command line.
SPHINXOPTS =
SPHINXOPTS = -n -w warnings.txt
SPHINXBUILD = sphinx-build
PAPER =
BUILDDIR = _build
+22
View File
@@ -0,0 +1,22 @@
{# Import the theme's layout. #}
{% extends "!layout.html" %}
{% block extrahead %}
{{ super() }}
<meta name="description" content="Simulation and Parameter Estimation in Geophysics">
<meta name="author" content="SimPEG Developers">
<meta name="keywords" content="python, geophysics, inversion, electromagnetics, magnetotellurics, magnetics, gravity, DC, flow inverse problems, open source, finite volume">
<script>
(function(i,s,o,g,r,a,m){i['GoogleAnalyticsObject']=r;i[r]=i[r]||function(){
(i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o),
m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m)
})(window,document,'script','https://www.google-analytics.com/analytics.js','ga');
ga('create', 'UA-45185336-1', 'auto');
ga('send', 'pageview');
</script>
{% endblock %}
-19
View File
@@ -1,19 +0,0 @@
.. _api_FiniteVolume:
Finite Volume
*************
Any numerical implementation requires the discretization of continuous functions into discrete approximations. These approximations are typically organized in a mesh, which defines boundaries, locations, and connectivity. Of specific interest to geophysical simulations, we require that averaging, interpolation and differential operators be defined for any mesh. In SimPEG, we have implemented a staggered mimetic finite volume approach (`Hyman and Shashkov, 1999 <http://math.lanl.gov/~mac/papers/numerics/HS99B.pdf>`_). This approach requires the definitions of variables at either cell-centers, nodes, faces, or edges as seen in the figure below.
.. image:: images/finitevolrealestate.png
:width: 400 px
:alt: FiniteVolume
:align: center
.. toctree::
:maxdepth: 2
api_Mesh
api_DiffOps
api_InnerProducts
-36
View File
@@ -1,36 +0,0 @@
.. _api_MeshCode:
Tensor Mesh
===========
.. automodule:: SimPEG.Mesh.TensorMesh
:show-inheritance:
:members:
:undoc-members:
Cylindrical Mesh
================
.. automodule:: SimPEG.Mesh.CylMesh
:show-inheritance:
:members:
:undoc-members:
Tree Mesh
=========
.. autoclass:: SimPEG.Mesh.TreeMesh.TreeMesh
:show-inheritance:
:members:
:undoc-members:
Curvilinear Mesh
================
.. automodule:: SimPEG.Mesh.CurvilinearMesh
:show-inheritance:
:members:
:undoc-members:
+95
View File
@@ -0,0 +1,95 @@
# application: simpegdocs
# version: 1
runtime: python27
api_version: 1
threadsafe: yes
handlers:
# favicon
- url: /images/logo-block\.ico
static_files: /images/logo-block.ico
upload: /images/logo-block\.ico
# all css
- url: /(.*\.css)
mime_type: text/css
static_files: _build/html/\1
upload: _build/html/(.*\.css)
# webfonts
- url: /(.*\.(eot|svg|ttf|woff|woff2|otf))
static_files: _build/html/\1
upload: _build/html/(.*\.(eot|svg|ttf|woff|woff2|otf))
# javascript
- url: /(.*\.js)
mime_type: text/javascript
static_files: _build/html/\1
upload: _build/html/(.*\.js)
# plain text source
- url: /(.*\.txt)
mime_type: text/plain
static_files: _build/html/\1
upload: _build/html/(.*\.txt)
# images
- url: /_images/(.*\.(gif|png|jpg|ico))
static_files: _build/html/_images/\1
upload: _build/html/_images/(.*\.(gif|png|jpg|ico))
# redirect en/latest traffic
- url: /en/latest/(.*\.html)
script: simpegdocs.app
# raw html
- url: /(.*\.html)
mime_type: text/html
static_files: _build/html/\1
upload: _build/html/(.*\.html)
# serve index files
- url: /(.+)/
static_files: _build/html/\1/index.html
upload: _build/html/(.+)/index.html
- url: /(.+)
static_files: _build/html/\1/index.html
upload: _build/html/(.+)/index.html
- url: /
static_files: _build/html/index.html
upload: _build/html/index.html
- url: .*
script: simpegdocs.app
# Recommended file skipping declaration from the GAE tutorials
skip_files:
- ^(.*/)?app\.yaml
- ^(.*/)?app\.yml
- ^(.*/)?#.*#
- ^(.*/)?.*~
- ^(.*/)?.*\.py[co]
- ^(.*/)?.*/RCS/.*
- ^(.*/)?\..*
- ^(.*/)?tests$
- ^(.*/)?test$
- ^test/(.*/)?
- ^COPYING.LESSER
- ^README\..*
- \.gitignore
- ^\.git/.*
- \.*\.lint$
- ^(.*/)?.*\.doctree$
libraries:
- name: webapp2
version: "2.5.2"
- name: PIL
version: "1.1.7"
- name: numpy
version: "latest"
- name: jinja2
version: "latest"
+47 -6
View File
@@ -28,7 +28,7 @@ sys.path.append('../')
# Add any Sphinx extension module names here, as strings. They can be extensions
# coming with Sphinx (named 'sphinx.ext.*') or your custom ones.
extensions = ['sphinx.ext.todo', 'sphinx.ext.mathjax', 'sphinx.ext.viewcode', 'sphinx.ext.autodoc', 'matplotlib.sphinxext.plot_directive']
extensions = ['sphinx.ext.todo', 'sphinx.ext.mathjax', 'sphinx.ext.viewcode', 'sphinx.ext.autodoc', 'sphinx.ext.intersphinx', 'matplotlib.sphinxext.plot_directive']
# Add any paths that contain templates here, relative to this directory.
templates_path = ['_templates']
@@ -44,16 +44,16 @@ master_doc = 'index'
# General information about the project.
project = u'SimPEG'
copyright = u'2013, SimPEG Developers'
copyright = u'2013 - 2016, SimPEG Developers'
# The version info for the project you're documenting, acts as replacement for
# |version| and |release|, also used in various other places throughout the
# built documents.
#
# The short X.Y version.
version = '0.1.10'
version = '0.1.12'
# The full version, including alpha/beta/rc tags.
release = '0.1.10'
release = '0.1.12'
# The language for content autogenerated by Sphinx. Refer to documentation
# for a list of supported languages.
@@ -124,12 +124,12 @@ except Exception, e:
# The name of an image file (within the static path) to use as favicon of the
# docs. This file should be a Windows icon file (.ico) being 16x16 or 32x32
# pixels large.
#html_favicon = None
html_favicon = './images/logo-block.ico'
# Add any paths that contain custom static files (such as style sheets) here,
# relative to this directory. They are copied after the builtin static files,
# so a file named "default.css" will overwrite the builtin "default.css".
html_static_path = ['_static']
html_static_path = []
# If not '', a 'Last updated on:' timestamp is inserted at every page bottom,
# using the given strftime format.
@@ -229,6 +229,12 @@ man_pages = [
# If true, show URL addresses after external links.
#man_show_urls = False
# Intersphinx
intersphinx_mapping = {'python': ('http://docs.python.org/2', None),
'numpy': ('http://docs.scipy.org/doc/numpy/', None),
'scipy': ('http://docs.scipy.org/doc/scipy/reference/', None),
'matplotlib': ('http://matplotlib.sourceforge.net/', None)}
# -- Options for Texinfo output ------------------------------------------------
@@ -251,3 +257,38 @@ texinfo_documents = [
#texinfo_show_urls = 'footnote'
autodoc_member_order = 'bysource'
def supress_nonlocal_image_warn():
import sphinx.environment
sphinx.environment.BuildEnvironment.warn_node = _supress_nonlocal_image_warn
def _supress_nonlocal_image_warn(self, msg, node):
from docutils.utils import get_source_line
if not msg.startswith('nonlocal image URI found:'):
self._warnfunc(msg, '%s:%s' % get_source_line(node))
supress_nonlocal_image_warn()
nitpick_ignore = [
('py:class', 'IdentityMap'),
('py:class', 'BaseSurvey'),
('py:class', 'BaseSrc'),
('py:class', 'BaseRx'),
('py:class', 'Survey'),
('py:class', 'FieldsFDEM'),
('py:class', 'Fields3D_e'),
('py:class', 'Fields3D_b'),
('py:class', 'Fields3D_j'),
('py:class', 'Fields3D_h'),
('py:class', 'SurveyTDEM'),
('py:class', 'SrcTDEM'),
('py:class', 'EMPropMap'),
('py:class', 'Data'),
('py:class', 'SurveyDC'),
('py:class', 'BaseMTFields'),
('py:class', 'SolverLU'),
('py:class', 'BaseMagSurvey'),
('py:class', 'BaseMagMap'),
]
@@ -7,7 +7,7 @@ Examples
:maxdepth: 1
:glob:
examples/*
../examples/*
External Notebooks
@@ -0,0 +1,27 @@
.. _api_FiniteVolume:
Finite Volume
*************
Any numerical implementation requires the discretization of continuous
functions into discrete approximations. These approximations are typically
organized in a mesh, which defines boundaries, locations, and connectivity. Of
specific interest to geophysical simulations, we require that averaging,
interpolation and differential operators be defined for any mesh. In SimPEG,
we have implemented a staggered mimetic finite volume approach (`Hyman and
Shashkov, 1999 <http://math.lanl.gov/~mac/papers/numerics/HS99B.pdf>`_). This
approach requires the definitions of variables at either cell-centers, nodes,
faces, or edges as seen in the figure below.
.. image:: ../../images/finitevolrealestate.png
:width: 400 px
:alt: FiniteVolume
:align: center
.. toctree::
:maxdepth: 2
api_Mesh
api_DiffOps
api_InnerProducts
@@ -52,13 +52,15 @@ We can take the derivative of the PDE:
\nabla_m c(m, u) \partial m + \nabla_u c(m, u) \partial u = 0
If the forward problem is invertible, then we can rearrange for \\(\\frac{\\partial u}{\\partial m}\\):
If the forward problem is invertible, then we can rearrange for
\\(\\frac{\\partial u}{\\partial m}\\):
.. math::
J = - P \left( \nabla_u c(m, u) \right)^{-1} \nabla_m c(m, u)
This can often be computed given a vector (i.e. \\(J(v)\\)) rather than stored, as \\(J\\) is a large dense matrix.
This can often be computed given a vector (i.e. \\(J(v)\\)) rather than
stored, as \\(J\\) is a large dense matrix.
@@ -67,13 +69,45 @@ The API
Problem
-------
.. automodule:: SimPEG.Problem
.. autoclass:: SimPEG.Problem.BaseProblem
:members:
:undoc-members:
.. autoclass:: SimPEG.Problem.BaseTimeProblem
:members:
:undoc-members:
Fields
------
.. autoclass:: SimPEG.Fields.Fields
:members:
:undoc-members:
.. autoclass:: SimPEG.Fields.TimeFields
:members:
:undoc-members:
Survey
------
.. automodule:: SimPEG.Survey
.. autoclass:: SimPEG.Survey.BaseSurvey
:members:
:undoc-members:
.. autoclass:: SimPEG.Survey.BaseSrc
:members:
:undoc-members:
.. autoclass:: SimPEG.Survey.BaseRx
:members:
:undoc-members:
.. autoclass:: SimPEG.Survey.BaseTimeRx
:members:
:undoc-members:
.. autoclass:: SimPEG.Survey.Data
:members:
:undoc-members:
@@ -4,7 +4,10 @@
Inner Products
**************
By using the weak formulation of many of the PDEs in geophysical applications, we can rapidly develop discretizations. Much of this work, however, needs a good understanding of how to approximate inner products on our discretized meshes. We will define the inner product as:
By using the weak formulation of many of the PDEs in geophysical applications,
we can rapidly develop discretizations. Much of this work, however, needs a
good understanding of how to approximate inner products on our discretized
meshes. We will define the inner product as:
.. math::
@@ -14,12 +17,15 @@ where a and b are either scalars or vectors.
.. note::
The InnerProducts class is a base class providing inner product matrices for meshes and cannot run on its own.
The InnerProducts class is a base class providing inner product matrices
for meshes and cannot run on its own.
Example problem for DC resistivity
----------------------------------
We will start with the formulation of the Direct Current (DC) resistivity problem in geophysics.
We will start with the formulation of the Direct Current (DC) resistivity
problem in geophysics.
.. math::
@@ -28,12 +34,13 @@ We will start with the formulation of the Direct Current (DC) resistivity proble
\nabla\cdot \vec{j} = q
In the following discretization, \\\( \\sigma \\\) and \\\( \\phi \\\)
will be discretized on the cell-centers and the flux, \\\(\\vec{j}\\\),
In the following discretization, :math:`\sigma` and :math:`\phi`
will be discretized on the cell-centers and the flux, :math:`\vec{j}`,
will be on the faces. We will use the weak formulation to discretize
the DC resistivity equation.
We can define in weak form by integrating with a general face function \\\(\\vec{f}\\\):
We can define in weak form by integrating with a general face function
:math:`\vec{f}`:
.. math::
@@ -61,9 +68,16 @@ We can then discretize for every cell:
.. note::
We have discretized the dot product above, but remember that we do not really have a single vector \\\(\\mathbf{J}\\\), but approximations of \\\(\\vec{j}\\\) on each face of our cell. In 2D that means 2 approximations of \\\(\\mathbf{J}_x\\\) and 2 approximations of \\\(\\mathbf{J}_y\\\). In 3D we also have 2 approximations of \\\(\\mathbf{J}_z\\\).
We have discretized the dot product above, but remember that we do not
really have a single vector :math:`\mathbf{J}`, but approximations of
:math:`\vec{j}` on each face of our cell. In 2D that means 2
approximations of :math:`\mathbf{J}_x` and 2 approximations of
:math:`\mathbf{J}_y`. In 3D we also have 2 approximations of
:math:`\mathbf{J}_z`.
Regardless of how we choose to approximate this dot product, we can represent this in vector form (again this is for every cell), and will generalize for the case of anisotropic (tensor) sigma.
Regardless of how we choose to approximate this dot product, we can represent
this in vector form (again this is for every cell), and will generalize for
the case of anisotropic (tensor) sigma.
.. math::
@@ -71,14 +85,17 @@ Regardless of how we choose to approximate this dot product, we can represent th
-\phi^{\top} v_{\text{cell}} \mathbf{D}_{\text{cell}} \mathbf{F})
+ \text{BC}
We multiply by square-root of volume on each side of the tensor conductivity to keep symmetry in the system. Here \\\(\\mathbf{J}_c\\\) is the Cartesian \\\(\\mathbf{J}\\\) (on the faces that we choose to use in our approximation) and must be calculated differently depending on the mesh:
We multiply by square-root of volume on each side of the tensor conductivity
to keep symmetry in the system. Here :math:`\mathbf{J}_c` is the Cartesian
:math:`\mathbf{J}` (on the faces that we choose to use in our approximation)
and must be calculated differently depending on the mesh:
.. math::
\mathbf{J}_c = \mathbf{Q}_{(i)}\mathbf{J}_\text{TENSOR} \\
\mathbf{J}_c = \mathbf{N}_{(i)}^{-1}\mathbf{Q}_{(i)}\mathbf{J}_\text{Curv}
Here the \\\(i\\\) index refers to where we choose to approximate this integral, as discussed in the note above.
We will approximate this integral by taking the fluxes clustered around every node of the cell, there are 8 combinations in 3D, and 4 in 2D. We will use a projection matrix \\\( \\mathbf{Q}_{(i)} \\\) to pick the appropriate fluxes. So, now that we have 8 approximations of this integral, we will just take the average. For the TensorMesh, this looks like:
Here the :math:`i` index refers to where we choose to approximate this integral, as discussed in the note above.
We will approximate this integral by taking the fluxes clustered around every node of the cell, there are 8 combinations in 3D, and 4 in 2D. We will use a projection matrix :math:`\mathbf{Q}_{(i)}` to pick the appropriate fluxes. So, now that we have 8 approximations of this integral, we will just take the average. For the TensorMesh, this looks like:
.. math::
@@ -107,10 +124,12 @@ By defining the faceInnerProduct (8 combinations of fluxes in 3D, 4 in 2D, 2 in
\sum_{i=1}^{2^d}
\mathbf{P}_{(i)}^{\top} \Sigma^{-1} \mathbf{P}_{(i)}
Where \\\(d\\\) is the dimension of the mesh.
The \\\( \\mathbf{M}^f \\\) is returned when given the input of \\\( \\Sigma^{-1} \\\).
Where :math:`d` is the dimension of the mesh.
The :math:`\mathbf{M}^f` is returned when given the input of :math:`\Sigma^{-1}`.
Here each \\( \\mathbf{P} \\in \\mathbb{R}^{(d*nC, nF)} \\\) is a combination of the projection, volume, and any normalization to Cartesian coordinates (where the dot product is well defined):
Here each :math:`\mathbf{P} ~ \in ~ \mathbb{R}^{(d*nC, nF)}` is a combination
of the projection, volume, and any normalization to Cartesian coordinates
(where the dot product is well defined):
.. math::
@@ -129,7 +148,10 @@ If ``returnP=True`` is requested in any of these methods the projection matrices
# In 1D
P = [P0, P1]
The derivation for ``edgeInnerProducts`` is exactly the same, however, when we approximate the integral using the fields around each node, the projection matrices look a bit different because we have 12 edges in 3D instead of just 6 faces. The interface to the code is exactly the same.
The derivation for ``edgeInnerProducts`` is exactly the same, however, when we
approximate the integral using the fields around each node, the projection
matrices look a bit different because we have 12 edges in 3D instead of just 6
faces. The interface to the code is exactly the same.
Defining Tensor Properties
@@ -137,7 +159,8 @@ Defining Tensor Properties
**For 3D:**
Depending on the number of columns (either 1, 3, or 6) of mu, the material property is interpreted as follows:
Depending on the number of columns (either 1, 3, or 6) of mu, the material
property is interpreted as follows:
.. math::
@@ -188,13 +211,16 @@ Which is nice and easy to invert if necessary, however, in the fully anisotropic
Taking Derivatives
------------------
We will take the derivative of the fully anisotropic tensor for a 3D mesh, the other cases are easier and will not be discussed here. Let us start with one part of the sum which makes up \\\(\\mathbf{M}^f_\\Sigma\\\) and take the derivative when this is multiplied by some vector \\\(\\mathbf{v}\\\):
We will take the derivative of the fully anisotropic tensor for a 3D mesh, the
other cases are easier and will not be discussed here. Let us start with one
part of the sum which makes up :math:`\mathbf{M}^f_\Sigma` and take the
derivative when this is multiplied by some vector :math:`\mathbf{v}`:
.. math::
\mathbf{P}^\top \boldsymbol{\Sigma} \mathbf{Pv}
Here we will let \\\( \\mathbf{Pv} = \\mathbf{y} \\\) and \\\(\\mathbf{y}\\\) will have the form:
Here we will let :math:`\mathbf{Pv} = \mathbf{y}` and :math:`\mathbf{y}` will have the form:
.. math::
@@ -233,7 +259,9 @@ Here we will let \\\( \\mathbf{Pv} = \\mathbf{y} \\\) and \\\(\\mathbf{y}\\\) wi
\end{matrix}
\right]
Now it is easy to take the derivative with respect to any one of the parameters, for example, \\\(\\frac{\\partial}{\\partial\\boldsymbol{\\sigma}_1}\\\)
Now it is easy to take the derivative with respect to any one of the
parameters, for example,
:math:`\frac{\partial}{\partial\boldsymbol{\sigma}_1}`
.. math::
\frac{\partial}{\partial \boldsymbol{\sigma}_1}\left(\mathbf{P}^\top\Sigma\mathbf{y}\right)
@@ -247,7 +275,8 @@ Now it is easy to take the derivative with respect to any one of the parameters,
\end{matrix}
\right]
Whereas \\\(\\frac{\\partial}{\\partial\\boldsymbol{\\sigma}_4}\\\), for example, is:
Whereas :math:`\frac{\partial}{\partial\boldsymbol{\sigma}_4}`, for
example, is:
.. math::
\frac{\partial}{\partial \boldsymbol{\sigma}_4}\left(\mathbf{P}^\top\Sigma\mathbf{y}\right)
@@ -261,11 +290,12 @@ Whereas \\\(\\frac{\\partial}{\\partial\\boldsymbol{\\sigma}_4}\\\), for example
\end{matrix}
\right]
These are computed for each of the 8 projections, horizontally concatenated, and returned.
These are computed for each of the 8 projections, horizontally concatenated,
and returned.
The API
-------
.. automodule:: SimPEG.Mesh.InnerProducts
.. autoclass:: SimPEG.Mesh.InnerProducts.InnerProducts
:members:
:undoc-members:
@@ -3,7 +3,7 @@
InvProblem
**********
.. automodule:: SimPEG.InvProblem
.. autoclass:: SimPEG.InvProblem.BaseInvProblem
:show-inheritance:
:members:
:undoc-members:
@@ -12,7 +12,7 @@ InvProblem
Inversion
*********
.. automodule:: SimPEG.Inversion
.. autoclass:: SimPEG.Inversion.BaseInversion
:show-inheritance:
:members:
:undoc-members:
@@ -27,7 +27,8 @@ back to conductivity. This is a relatively trivial example (we are just taking
the exponential!) but by defining maps we can start to combine and manipulate
exactly what we think about as our model, \\\(m\\\). In code, this looks like
::
.. code-block:: python
:linenos:
M = Mesh.TensorMesh([100]) # Create a mesh
expMap = Maps.ExpMap(M) # Create a mapping
@@ -46,14 +47,15 @@ We will use an example where we want a 1D layered earth as
our model, but we want to map this to a 2D discretization to do our forward
modeling. We will also assume that we are working in log conductivity still,
so after the transformation we want to map to conductivity space.
To do this we will introduce the vertical 1D map (:class:`SimPEG.Maps.Vertical1DMap`),
To do this we will introduce the vertical 1D map (:class:`SimPEG.Maps.SurjectVertical1D`),
which does the first part of what we just described. The second part will be
done by the :class:`SimPEG.Maps.ExpMap` described above.
::
.. code-block:: python
:linenos:
M = Mesh.TensorMesh([7,5])
v1dMap = Maps.Vertical1DMap(M)
v1dMap = Maps.SurjectVertical1D(M)
expMap = Maps.ExpMap(M)
myMap = expMap * v1dMap
m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
@@ -61,26 +63,8 @@ done by the :class:`SimPEG.Maps.ExpMap` described above.
.. plot::
from SimPEG import *
import matplotlib.pyplot as plt
M = Mesh.TensorMesh([7,5])
v1dMap = Maps.Vertical1DMap(M)
expMap = Maps.ExpMap(M)
myMap = expMap * v1dMap
m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
sig = myMap * m
figs, axs = plt.subplots(1,2)
axs[0].plot(m, M.vectorCCy, 'b-o')
axs[0].set_title('Model')
axs[0].set_ylabel('Depth, y')
axs[0].set_xlabel('Value, $m_i$')
axs[0].set_xlim(0,3)
axs[0].set_ylim(0,1)
clbar = plt.colorbar(M.plotImage(sig,ax=axs[1],grid=True,gridOpts=dict(color='grey'))[0])
axs[1].set_title('Physical Property')
axs[1].set_ylabel('Depth, y')
clbar.set_label('$\sigma = \exp(\mathbf{P}m)$')
plt.tight_layout()
from SimPEG import Examples
Examples.Maps_ComboMaps.run()
If you noticed, it was pretty easy to combine maps. What is even cooler is
that the derivatives also are made for you (if everything goes right).
@@ -122,6 +106,8 @@ When these are used in the inverse problem, this is extremely important!!
The API
=======
The :code:`IdentityMap` is the base class for all mappings, and it does absolutely nothing.
.. autoclass:: SimPEG.Maps.IdentityMap
:members:
:undoc-members:
@@ -130,7 +116,6 @@ The API
Common Maps
===========
Exponential Map
---------------
@@ -148,7 +133,7 @@ lives (i.e. it varies logarithmically).
Vertical 1D Map
---------------
.. autoclass:: SimPEG.Maps.Vertical1DMap
.. autoclass:: SimPEG.Maps.SurjectVertical1D
:members:
:undoc-members:
@@ -164,31 +149,10 @@ Map 2D Cross-Section to 3D Model
Mesh to Mesh Map
----------------
.. plot::
from SimPEG import *
import matplotlib.pyplot as plt
M = Mesh.TensorMesh([100,100])
h1 = Utils.meshTensor([(6,7,-1.5),(6,10),(6,7,1.5)])
h1 = h1/h1.sum()
M2 = Mesh.TensorMesh([h1,h1])
V = Utils.ModelBuilder.randomModel(M.vnC, seed=79, its=50)
v = Utils.mkvc(V)
modh = Maps.Mesh2Mesh([M,M2])
modH = Maps.Mesh2Mesh([M2,M])
H = modH * v
h = modh * H
ax = plt.subplot(131)
M.plotImage(v, ax=ax)
ax.set_title('Fine Mesh (Original)')
ax = plt.subplot(132)
M2.plotImage(H,clim=[0,1],ax=ax)
ax.set_title('Course Mesh')
ax = plt.subplot(133)
M.plotImage(h,clim=[0,1],ax=ax)
ax.set_title('Fine Mesh (Interpolated)')
plt.show()
from SimPEG import Examples
Examples.Maps_Mesh2Mesh.run()
.. autoclass:: SimPEG.Maps.Mesh2Mesh
@@ -196,8 +160,8 @@ Mesh to Mesh Map
:undoc-members:
Some Extras
===========
Under the Hood
==============
Combo Map
---------
@@ -188,6 +188,6 @@ other types of meshes in this SimPEG framework.
The API
=======
.. automodule:: SimPEG.Mesh.BaseMesh
.. autoclass:: SimPEG.Mesh.BaseMesh.BaseMesh
:members:
:undoc-members:
+68
View File
@@ -0,0 +1,68 @@
.. _api_MeshCode:
Tensor Mesh
===========
.. autoclass:: SimPEG.Mesh.TensorMesh
:members:
:undoc-members:
:show-inheritance:
Cylindrical Mesh
================
.. autoclass:: SimPEG.Mesh.CylMesh
:members:
:undoc-members:
:show-inheritance:
Tree Mesh
=========
.. autoclass:: SimPEG.Mesh.TreeMesh
:members:
:undoc-members:
:show-inheritance:
Curvilinear Mesh
================
.. autoclass:: SimPEG.Mesh.CurvilinearMesh
:members:
:undoc-members:
:show-inheritance:
Base Rectangular Mesh
=====================
.. autoclass:: SimPEG.Mesh.BaseMesh.BaseRectangularMesh
:members:
:undoc-members:
:show-inheritance:
Base Tensor Mesh
================
.. autoclass:: SimPEG.Mesh.TensorMesh.BaseTensorMesh
:members:
:undoc-members:
:show-inheritance:
Mesh IO
=======
.. automodule:: SimPEG.Mesh.MeshIO
:members:
:undoc-members:
:show-inheritance:
Mesh Viewing
============
.. automodule:: SimPEG.Mesh.View
:members:
:undoc-members:
:show-inheritance:
+29
View File
@@ -0,0 +1,29 @@
SimPEG PropMaps
***************
The API
=======
Property
--------
.. autoclass:: SimPEG.PropMaps.Property
:members:
:undoc-members:
PropMap
-------
.. autoclass:: SimPEG.PropMaps.PropMap
:members:
:undoc-members:
PropModel
---------
.. autoclass:: SimPEG.PropMaps.PropModel
:members:
:undoc-members:
@@ -91,10 +91,21 @@ The API
:members:
:undoc-members:
.. autoclass:: SimPEG.Regularization.Simple
:show-inheritance:
:members:
.. autoclass:: SimPEG.Regularization.Tikhonov
:show-inheritance:
:members:
.. autoclass:: SimPEG.Regularization.Sparse
:show-inheritance:
:members:
.. autoclass:: SimPEG.Regularization.RegularizationMesh
:show-inheritance:
:members:
@@ -46,6 +46,8 @@ The API
=======
.. autofunction:: SimPEG.Utils.SolverUtils.SolverWrapD
:noindex:
.. autofunction:: SimPEG.Utils.SolverUtils.SolverWrapI
:noindex:
@@ -6,5 +6,6 @@ Utilities
api_Solver
api_Maps
api_PropMaps
api_Utils
api_Tests
@@ -21,7 +21,7 @@ Solver Utilities
:undoc-members:
Curv Utilities
=============
==============
.. automodule:: SimPEG.Utils.curvutils
:members:
@@ -51,7 +51,9 @@ Interpolation Utilities
Counter Utilities
=================
::
.. code-block:: python
:linenos:
class MyClass(object):
def __init__(self, url):
self.counter = Counter()
@@ -69,7 +71,9 @@ Counter Utilities
for i in range(300): c.MySecondMethod()
c.counter.summary()
::
.. code-block:: text
:linenos:
Counters:
MyClass.MyMethod : 100
@@ -77,6 +81,8 @@ Counter Utilities
Times: mean sum
MyClass.MySecondMethod : 1.70e-06, 5.10e-04, 300x
The API
-------
@@ -35,7 +35,7 @@ The Big Picture
Defining a well-posed inverse problem and solving it is a complex task that requires many components that must interact. It is helpful
to view this task as a workflow in which various elements are explicitly identified and integrated. The figure below outlines the inversion components that consists of inputs, implementation, and evaluation. The inputs are composed of the geophysical data, the equations which are a mathematical description of the governing physics, and prior knowledge or assumptions about the setting. The implementation consists of two broad categories: the forward simulation and the inversion. The **forward simulation** is the means by which we solve the governing equations given a model and the **inversion components** evaluate and update this model. We are considering a gradient based approach, which updates the model through an optimization routine. The output of this implementation is a model, which, prior to interpretation, must be evaluated. This requires considering, and often re-assessing, the choices and assumptions made in both the input and implementation stages.
.. image:: InversionWorkflow-PreSimPEG.png
.. image:: ../../images/InversionWorkflow-PreSimPEG.png
:width: 400 px
:alt: Components
:align: center
@@ -46,24 +46,24 @@ A Comprehensive Framework
There are an overwhelming amount of choices to be made as one works through the forward modeling and inversion process (see figure above). As a result, software implementations of this workflow often become complex and highly interdependent, making it difficult to interact with and to ask other scientists to pick up and change. Our approach to handling this complexity is to propose a framework, (see below), that compartmentalizes the implementation of inversions into various units. We present it in this specific modular style, as each unit contains a targeted subset of choices crucial to the inversion process.
.. image:: InversionWorkflow.png
.. image:: ../../images/InversionWorkflow.png
:width: 400 px
:alt: Framework
:align: center
The process of obtaining an acceptable model from an inversion generally requires the geophysicist to perform several iterations of the inversion workflow, rethinking and redesigning each piece of the framework to ensure it is appropriate in the current context. Inversions are experimental and empirical by nature and our software package is designed to facilitate this iterative process. To accomplish this, we have divided the inversion methodology into eight major components (See figure above). The (:class:`SimPEG.Mesh.BaseMesh`) class handles the discretization of the earth and also provides numerical operators. The forward simulation is split into two classes, the (:class:`SimPEG.Survey.BaseSurvey`) and the (:class:`SimPEG.Problem.BaseProblem`). The (:class:`SimPEG.Survey.BaseSurvey`) class handles the geometry of a geophysical problem as well as sources. The (:class:`SimPEG.Problem.BaseProblem`) class handles the simulation of the physics for the geophysical problem of interest. Although created independently, these two classes must be paired to form all of the components necessary for a geophysical forward simulation and calculation of the sensitivity. The (:class:`SimPEG.Problem.BaseProblem`) creates geophysical fields given a source from the (:class:`SimPEG.Survey.BaseSurvey`). The (:class:`SimPEG.Survey.BaseSurvey`) interpolates these fields to the receiver locations and converts them to the appropriate data type, for example, by selecting only the measured components of the field. Each of these operations may have associated derivatives with respect to the model and the computed field; these are included in the calculation of the sensitivity. For the inversion, a (:class:`SimPEG.DataMisfit.BaseDataMisfit`) is chosen to capture the goodness of fit of the predicted data and a (:class:`SimPEG.Regularization.BaseRegularization`) is chosen to handle the non-uniqueness. These inversion elements and an Optimization routine are combined into an inverse problem class (:class:`SimPEG.InvProblem.BaseInvProblem`). (:class:`SimPEG.InvProblem.BaseInvProblem`) is the mathematical statement that will be numerically solved by running an Inversion. The (:class:`SimPEG.Inversion.BaseInversion`) class handles organization and dispatch of directives between all of the various pieces of the framework.
The process of obtaining an acceptable model from an inversion generally requires the geophysicist to perform several iterations of the inversion workflow, rethinking and redesigning each piece of the framework to ensure it is appropriate in the current context. Inversions are experimental and empirical by nature and our software package is designed to facilitate this iterative process. To accomplish this, we have divided the inversion methodology into eight major components (See figure above). The :class:`SimPEG.Mesh.BaseMesh.BaseMesh` class handles the discretization of the earth and also provides numerical operators. The forward simulation is split into two classes, the :class:`SimPEG.Survey.BaseSurvey` and the :class:`SimPEG.Problem.BaseProblem`. The :class:`SimPEG.Survey.BaseSurvey` class handles the geometry of a geophysical problem as well as sources. The :class:`SimPEG.Problem.BaseProblem` class handles the simulation of the physics for the geophysical problem of interest. Although created independently, these two classes must be paired to form all of the components necessary for a geophysical forward simulation and calculation of the sensitivity. The :class:`SimPEG.Problem.BaseProblem` creates geophysical fields given a source from the :class:`SimPEG.Survey.BaseSurvey`. The :class:`SimPEG.Survey.BaseSurvey` interpolates these fields to the receiver locations and converts them to the appropriate data type, for example, by selecting only the measured components of the field. Each of these operations may have associated derivatives with respect to the model and the computed field; these are included in the calculation of the sensitivity. For the inversion, a :class:`SimPEG.DataMisfit.BaseDataMisfit` is chosen to capture the goodness of fit of the predicted data and a :class:`SimPEG.Regularization.BaseRegularization` is chosen to handle the non-uniqueness. These inversion elements and an Optimization routine are combined into an inverse problem class :class:`SimPEG.InvProblem.BaseInvProblem`. :class:`SimPEG.InvProblem.BaseInvProblem` is the mathematical statement that will be numerically solved by running an Inversion. The :class:`SimPEG.Inversion.BaseInversion` class handles organization and dispatch of directives between all of the various pieces of the framework.
The arrows in the figure above indicate what each class takes as a primary argument. For example, both the (:class:`SimPEG.Problem.BaseProblem`) and (:class:`SimPEG.Regularization.BaseRegularization`) classes take a (:class:`SimPEG.Mesh.BaseMesh`) class as an argument. The diagram does not show class inheritance, as each of the base classes outlined have many subtypes that can be interchanged. The (:class:`SimPEG.Mesh.BaseMesh`) class, for example, could be a regular Cartesian mesh (:class:`SimPEG.Mesh.TensorMesh`) or a cylindrical coordinate mesh (:class:`SimPEG.Mesh.CylMesh`), which have many properties in common. These common features, such as both meshes being created from tensor products, can be exploited through inheritance of base classes, and differences can be expressed through subtype polymorphism. Please look at the documentation here for more in-depth information.
The arrows in the figure above indicate what each class takes as a primary argument. For example, both the :class:`SimPEG.Problem.BaseProblem` and :class:`SimPEG.Regularization.BaseRegularization` classes take a :class:`SimPEG.Mesh.BaseMesh.BaseMesh` class as an argument. The diagram does not show class inheritance, as each of the base classes outlined have many subtypes that can be interchanged. The :class:`SimPEG.Mesh.BaseMesh.BaseMesh` class, for example, could be a regular Cartesian mesh :class:`SimPEG.Mesh.TensorMesh` or a cylindrical coordinate mesh :class:`SimPEG.Mesh.CylMesh`, which have many properties in common. These common features, such as both meshes being created from tensor products, can be exploited through inheritance of base classes, and differences can be expressed through subtype polymorphism. Please look at the documentation here for more in-depth information.
.. include:: ../CITATION.rst
.. include:: ../../../CITATION.rst
Authors
-------
.. include:: ../AUTHORS.rst
.. include:: ../../../AUTHORS.rst
License
-------
.. include:: ../LICENSE
.. include:: ../../../LICENSE
+16 -9
View File
@@ -1,5 +1,3 @@
.. _api_DC:
.. math::
\renewcommand{\div}{\nabla\cdot\,}
@@ -38,8 +36,16 @@
\renewcommand {\u} { {\vec u} }
\newcommand{\I}{\vec{I}}
Direct Current Resistivity
**************************
`SimPEG.DCIP` uses SimPEG as the framework for the forward and inverse
direct current (DC) resistivity and induced polarization (IP) geophysical problems.
DC resistivity survey
*********************
=====================
Electrical resistivity of subsurface materials is measured by causing an electrical current to flow in the earth between one pair of electrodes while the voltage across a second pair of electrodes is measured. The result is an "apparent" resistivity which is a value representing the weighted average resistivity over a volume of the earth. Variations in this measurement are caused by variations in the soil, rock, and pore fluid electrical resistivity. Surveys require contact with the ground, so they can be labour intensive. Results are sometimes interpreted directly, but more commonly, 1D, 2D or 3D models are estimated using inversion procedures (`GPG <http://www.eos.ubc.ca/courses/eosc350/content/>`_).
@@ -55,7 +61,7 @@ As direct current (DC) implies, in DC resistivity survey, we assume steady-state
\curl \e = 0
Then by taking \\(\\curl\\) for the first equation, we have
Then by taking \\(\\div\\) of the first equation, we have
.. math::
@@ -137,13 +143,14 @@ Comparing to the analytic function:
.. plot::
import simpegDC as DC
DC.Examples.Verification.run(plotIt=True)
from SimPEG import Examples
Examples.DC_Analytic_Dipole.run(plotIt=True)
API
===
.. automodule:: simpegDC.BaseDC
API for DC codes
================
.. automodule:: SimPEG.DCIP.BaseDC
:show-inheritance:
:members:
:undoc-members:
@@ -9,17 +9,28 @@
Frequency Domain Electromagnetics
*********************************
Electromagnetic (EM) geophysical methods are used in a variety of applications from resource exploration, including for hydrocarbons and minerals, to environmental applications, such as groundwater monitoring. The primary physical property of interest in EM is electrical conductivity, which describes the ease with which electric current flows through a material.
Electromagnetic (EM) geophysical methods are used in a variety of applications
from resource exploration, including for hydrocarbons and minerals, to
environmental applications, such as groundwater monitoring. The primary
physical property of interest in EM is electrical conductivity, which
describes the ease with which electric current flows through a material.
Background
==========
Electromagnetic phenomena are governed by Maxwell's equations. They describe the behavior of EM fields and fluxes. Electromagnetic theory for geophysical applications by Ward and Hohmann (1988) is a highly recommended resource on this topic.
Electromagnetic phenomena are governed by Maxwell's equations. They describe
the behavior of EM fields and fluxes. Electromagnetic theory for geophysical
applications by Ward and Hohmann (1988) is a highly recommended resource on
this topic.
Fourier Transform Convention
----------------------------
In order to examine Maxwell's equations in the frequency domain, we must first define our choice of harmonic time-dependence by choosing a Fourier transform convention. We use the :math:`e^{i \omega t}` convention, so we define our Fourier Transform pair as
In order to examine Maxwell's equations in the frequency domain, we must first
define our choice of harmonic time-dependence by choosing a Fourier transform
convention. We use the :math:`e^{i \omega t}` convention, so we define our
Fourier Transform pair as
.. math ::
F(\omega) = \int_{-\infty}^{\infty} f(t) e^{- i \omega t} dt \\
@@ -31,6 +42,7 @@ where :math:`\omega` is angular frequency, :math:`t` is time, :math:`F(\omega)`
Maxwell's Equations
===================
In the frequency domain, Maxwell's equations are given by
.. math ::
@@ -104,19 +116,20 @@ The H-J formulation is in terms of the current density and the magnetic field:
Discretizing
------------
For both formulations, we use a finite volume discretization
and discretize fields on cell edges, fluxes on cell faces and
physical properties in cell centers. This is particularly
important when using symmetry to reduce the dimensionality of a problem
(for instance on a 2D CylMesh, there are :math:`r`, :math:`z` faces and :math:`\theta` edges)
.. figure:: ../images/finitevolrealestate.png
.. figure:: ../../images/finitevolrealestate.png
:align: center
:scale: 60 %
For the two formulations, the discretization of the physical properties, fields and fluxes are summarized below.
.. figure:: ../images/ebjhdiscretizations.png
.. figure:: ../../images/ebjhdiscretizations.png
:align: center
:scale: 60 %
@@ -150,7 +163,7 @@ API
FDEM Problem
------------
.. automodule:: SimPEG.EM.FDEM.FDEM
.. automodule:: SimPEG.EM.FDEM.ProblemFDEM
:show-inheritance:
:members:
:undoc-members:
@@ -169,6 +182,11 @@ FDEM Survey
:members:
:undoc-members:
.. automodule:: SimPEG.EM.FDEM.RxFDEM
:show-inheritance:
:members:
:undoc-members:
FDEM Fields
-----------
@@ -359,7 +359,7 @@ TDEM - B formulation
Field Storage
=============
.. autoclass:: SimPEG.EM.TDEM.SurveyTDEM.FieldsTDEM
.. autoclass:: SimPEG.EM.TDEM.BaseTDEM.FieldsTDEM
:show-inheritance:
:members:
:undoc-members:
+33
View File
@@ -0,0 +1,33 @@
Overview of Electromagnetics in SimPEG
**************************************
The API
=======
Physical Properties
-------------------
.. autoclass:: SimPEG.EM.Base.EMPropMap
:show-inheritance:
:members:
:undoc-members:
Problem
-------
.. autoclass:: SimPEG.EM.Base.BaseEMProblem
:show-inheritance:
:members:
:undoc-members:
Survey
------
.. autoclass:: SimPEG.EM.Base.BaseEMSurvey
:show-inheritance:
:members:
:undoc-members:
@@ -3,22 +3,23 @@ Electromagnetics
================
`SimPEG.EM` uses SimPEG as the framework for the forward and inverse
electromagnetics geophysical problems.
electromagnetics geophysical problems.
To solve for predicted data, we follow the framework shown below. The model is
what we invert for. This is mapped to a physical property on the simulation
mesh. A source which is used to excite the system is specified. Having a model
and a source, we can solve Maxwell's equations for fields. We sample these
fields with recievers to give us predicted data.
fields with recievers to give us predicted data.
.. image:: ../images/simpegEM_noMath.png
.. image:: ../../images/simpegEM_noMath.png
:scale: 50%
.. toctree::
:maxdepth: 2
api_basic
api_FDEM
api_TDEM
api_Utils
@@ -16,6 +16,6 @@ DC Analytic Dipole
from SimPEG import Examples
Examples.DC_Analytic_Dipole.run()
.. literalinclude:: ../../SimPEG/Examples/DC_Analytic_Dipole.py
.. literalinclude:: ../../../SimPEG/Examples/DC_Analytic_Dipole.py
:language: python
:linenos:
@@ -31,6 +31,6 @@ Created by @fourndo
from SimPEG import Examples
Examples.DC_Forward_PseudoSection.run()
.. literalinclude:: ../../SimPEG/Examples/DC_Forward_PseudoSection.py
.. literalinclude:: ../../../SimPEG/Examples/DC_Forward_PseudoSection.py
:language: python
:linenos:
@@ -21,6 +21,6 @@ Here we will create and run a FDEM 1D inversion.
from SimPEG import Examples
Examples.EM_FDEM_1D_Inversion.run()
.. literalinclude:: ../../SimPEG/Examples/EM_FDEM_1D_Inversion.py
.. literalinclude:: ../../../SimPEG/Examples/EM_FDEM_1D_Inversion.py
:language: python
:linenos:
@@ -21,6 +21,6 @@ Here we plot the magnetic flux density from a harmonic dipole in a wholespace.
from SimPEG import Examples
Examples.EM_FDEM_Analytic_MagDipoleWholespace.run()
.. literalinclude:: ../../SimPEG/Examples/EM_FDEM_Analytic_MagDipoleWholespace.py
.. literalinclude:: ../../../SimPEG/Examples/EM_FDEM_Analytic_MagDipoleWholespace.py
:language: python
:linenos:
@@ -17,10 +17,13 @@ current inside a steel-cased. The model is based on the Schenkel and
Morrison Casing Model, and the results are used in a 2016 SEG abstract by
Yang et al.
- Schenkel, C.J., and H.F. Morrison, 1990, Effects of well casing on potential field measurements using downhole current sources: Geophysical prospecting, 38, 663-686.
.. code-block:: text
Schenkel, C.J., and H.F. Morrison, 1990, Effects of well casing on potential field measurements using downhole current sources: Geophysical prospecting, 38, 663-686.
The model consists of:
- Air: Conductivity 1e-8 S/m, above z = 0
- Background: conductivity 1e-2 S/m, below z = 0
- Casing: conductivity 1e6 S/m
@@ -53,6 +56,6 @@ citation would be much appreciated!
from SimPEG import Examples
Examples.EM_Schenkel_Morrison_Casing.run()
.. literalinclude:: ../../SimPEG/Examples/EM_Schenkel_Morrison_Casing.py
.. literalinclude:: ../../../SimPEG/Examples/EM_Schenkel_Morrison_Casing.py
:language: python
:linenos:
@@ -21,6 +21,6 @@ Here we will create and run a TDEM 1D inversion.
from SimPEG import Examples
Examples.EM_TDEM_1D_Inversion.run()
.. literalinclude:: ../../SimPEG/Examples/EM_TDEM_1D_Inversion.py
.. literalinclude:: ../../../SimPEG/Examples/EM_TDEM_1D_Inversion.py
:language: python
:linenos:
@@ -47,6 +47,6 @@ Here we reproduce the results from Celia1990_ demonstrating the head-based formu
from SimPEG import Examples
Examples.FLOW_Richards_1D_Celia1990.run()
.. literalinclude:: ../../SimPEG/Examples/FLOW_Richards_1D_Celia1990.py
.. literalinclude:: ../../../SimPEG/Examples/FLOW_Richards_1D_Celia1990.py
:language: python
:linenos:
@@ -21,6 +21,6 @@ Here we go over the basics of creating a linear problem and inversion.
from SimPEG import Examples
Examples.Inversion_IRLS.run()
.. literalinclude:: ../../SimPEG/Examples/Inversion_IRLS.py
.. literalinclude:: ../../../SimPEG/Examples/Inversion_IRLS.py
:language: python
:linenos:
@@ -21,6 +21,6 @@ Here we go over the basics of creating a linear problem and inversion.
from SimPEG import Examples
Examples.Inversion_Linear.run()
.. literalinclude:: ../../SimPEG/Examples/Inversion_Linear.py
.. literalinclude:: ../../../SimPEG/Examples/Inversion_Linear.py
:language: python
:linenos:
@@ -10,7 +10,7 @@
MT: 1D: Inversion
=======================
=================
Forward model 1D MT data.
Setup and run a MT 1D inversion.
@@ -22,6 +22,6 @@ Setup and run a MT 1D inversion.
from SimPEG import Examples
Examples.MT_1D_ForwardAndInversion.run()
.. literalinclude:: ../../SimPEG/Examples/MT_1D_ForwardAndInversion.py
.. literalinclude:: ../../../SimPEG/Examples/MT_1D_ForwardAndInversion.py
:language: python
:linenos:
@@ -10,7 +10,7 @@
MT: 3D: Forward
=======================
===============
Forward model 3D MT data.
@@ -21,6 +21,6 @@ Forward model 3D MT data.
from SimPEG import Examples
Examples.MT_3D_Foward.run()
.. literalinclude:: ../../SimPEG/Examples/MT_3D_Foward.py
.. literalinclude:: ../../../SimPEG/Examples/MT_3D_Foward.py
:language: python
:linenos:
+48
View File
@@ -0,0 +1,48 @@
.. _examples_Maps_ComboMaps:
.. --------------------------------- ..
.. ..
.. THIS FILE IS AUTO GENEREATED ..
.. ..
.. SimPEG/Examples/__init__.py ..
.. ..
.. --------------------------------- ..
Maps: ComboMaps
===============
We will use an example where we want a 1D layered earth as
our model, but we want to map this to a 2D discretization to do our forward
modeling. We will also assume that we are working in log conductivity still,
so after the transformation we want to map to conductivity space.
To do this we will introduce the vertical 1D map (:class:`SimPEG.Maps.SurjectVertical1D`),
which does the first part of what we just described. The second part will be
done by the :class:`SimPEG.Maps.ExpMap` described above.
.. code-block:: python
:linenos:
M = Mesh.TensorMesh([7,5])
v1dMap = Maps.SurjectVertical1D(M)
expMap = Maps.ExpMap(M)
myMap = expMap * v1dMap
m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
sig = myMap * m
If you noticed, it was pretty easy to combine maps. What is even cooler is
that the derivatives also are made for you (if everything goes right).
Just to be sure that the derivative is correct, you should always run the test
on the mapping that you create.
.. plot::
from SimPEG import Examples
Examples.Maps_ComboMaps.run()
.. literalinclude:: ../../../SimPEG/Examples/Maps_ComboMaps.py
:language: python
:linenos:

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