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29 Commits
Author SHA1 Message Date
GudniRos 2fcdabf3d5 Fixed directive to save iteration dictionary. 2016-06-09 12:39:25 -07:00
GudniRos b965c96242 Updating examples by running python __init__.py 2016-06-07 13:48:29 -07:00
GudniRos f06ba238f8 Fixing Examples/__init__.py after merge conflict 2016-06-07 13:14:36 -07:00
GudniRos 11408a3788 Fixing an FDEM import to be more explicit 2016-06-07 11:52:29 -07:00
GudniRos 358e2f96af Pull request #328 on github.
Fixing MT namespace to NSEM.
2016-06-07 10:54:16 -07:00
GudniRos cf5181016f Made MT_1d_analytic_nLayer_Earth.run have default n layers of 3.
Trying to fix example testing.
2016-06-07 09:45:02 -07:00
GudniRos d1f7d0c37a Adding ipywidgets to the conda install list for travis 2016-06-01 21:54:19 -07:00
GudniRos 50c4a6caf8 Refactor and updated tests 2016-06-01 20:53:12 -07:00
GudniRos b3029b697b Adjust settings for the MT1D inversion example 2016-06-01 12:00:52 -07:00
GudniRos 8d4581e92f Cleaned MT_1D inverison example 2016-06-01 11:55:12 -07:00
Gudni Karl Rosenkjaer 0a44796d4c Merge pull request #329 from simpeg/em/dev
Em/dev into mt/dev
2016-06-01 11:17:19 -07:00
GudniRos 8117ee3b06 Fixing MT_1D example, runs but inversion results should be better. 2016-06-01 10:22:18 -07:00
GudniRos fb7f5a53d4 Working on examples 2016-06-01 01:05:21 -07:00
GudniRos f34314bba2 Fixed tests and Jvec 2016-05-31 22:33:57 -07:00
GudniRos 7087632701 Fixing name space, updating utils 2016-05-31 22:06:47 -07:00
GudniRos 6165e619ed Moving Problem1D/3D folders to NSEM file
Looking at making Jvec more general.
2016-05-10 16:07:45 -07:00
GudniRos 1ab67b5790 Updated MT-->NSEM for all the classes.
Changed Vertical1DMap --> SurjectVertical1D
2016-05-10 14:41:20 -07:00
Gudni Karl Rosenkjaer a96e9e08d7 Merge pull request #316 from simpeg/em/dev
Em/dev into mt/NSEMrefact
2016-05-10 14:09:13 -07:00
GudniRos b1569e5734 Changes to MT1D analytic example 2016-05-10 14:00:48 -07:00
GudniRos 22f0a742e7 Fixed UBC mesh read in function 2016-05-02 05:16:56 -07:00
GudniRos 18357a11da Fixing analytic function 2016-04-15 14:48:58 -07:00
GudniRos abc5d72725 Merge branch 'em/dev' into mt/dev 2016-04-15 13:29:39 -07:00
GudniRos 6482b94cf1 Merge branch 'master' into mt/dev 2016-04-05 10:26:03 -07:00
GudniRos 009806f2ba Merge remote-tracking branch 'origin/dev' into mt/dev 2016-03-29 16:52:01 -07:00
GudniRos 127c51974f Fixed errors in analytic solution 2016-03-10 08:10:21 -08:00
GudniRos e96945b991 Indexing 2016-03-09 14:30:39 -08:00
GudniRos fc444a345f Fixing dtypes in the MT1Danalytic 2016-03-09 14:24:15 -08:00
GudniRos 9a739d8380 Merge branch 'mt/dev' of https://github.com/simpeg/simpeg into mt/dev 2016-03-09 13:27:50 -08:00
GudniRos 664a7bb484 Updated plotting functions for MT 2016-03-09 13:26:50 -08:00
282 changed files with 3513 additions and 5140 deletions
+1 -1
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@@ -1,4 +1,4 @@
[bumpversion]
current_version = 0.1.12
current_version = 0.1.10
files = setup.py SimPEG/__init__.py docs/conf.py
-2
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@@ -39,5 +39,3 @@ nosetests.xml
*.sublime-workspace
docs/_build/
Makefile
docs/warnings.txt
.DS_Store
+5 -28
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@@ -1,7 +1,6 @@
language: python
python:
- 2.7
- 3.4
sudo: false
@@ -25,25 +24,18 @@ env:
- 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:
# 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
- if [ ${TRAVIS_PYTHON_VERSION:0:1} == "2" ]; then wget http://repo.continuum.io/miniconda/Miniconda-3.8.3-Linux-x86_64.sh -O miniconda.sh; else wget http://repo.continuum.io/miniconda/Miniconda3-3.8.3-Linux-x86_64.sh -O miniconda.sh; fi
- chmod +x miniconda.sh
- ./miniconda.sh -b
- export PATH=/home/travis/anaconda/bin:/home/travis/anaconda3/bin:/home/travis/miniconda/bin:/home/travis/miniconda3/bin:$PATH
- 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 sphinx
- conda install --yes pip python=$TRAVIS_PYTHON_VERSION numpy scipy matplotlib cython ipython ipywidgets nose vtk
- pip install nose-cov python-coveralls
- git clone https://github.com/rowanc1/pymatsolver.git
@@ -54,26 +46,11 @@ install:
# Run test
script:
# test docs
- nosetests $TEST_DIR --with-cov --cov SimPEG --cov-config .coveragerc -v -s
# Calculate coverage
after_success:
- bash <(curl -s https://codecov.io/bash)
- if [ "$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
- coveralls --config_file .coveragerc
notifications:
email:
+2 -6
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@@ -1,4 +1,4 @@
.. image:: https://raw.github.com/simpeg/simpeg/master/docs/images/simpeg-logo.png
.. image:: https://raw.github.com/simpeg/simpeg/master/docs/simpeg-logo.png
:alt: SimPEG Logo
======
@@ -28,11 +28,7 @@ SimPEG
.. image:: http://img.shields.io/badge/GITTER-JOIN_CHAT-brightgreen.svg?style=flat-square
:alt: gitter chat room at https://gitter.im/simpeg/simpeg
:target: https://gitter.im/simpeg/simpeg
.. image:: https://codecov.io/gh/simpeg/simpeg/branch/master/graph/badge.svg
  :target: https://codecov.io/gh/simpeg/simpeg
Simulation and Parameter Estimation in Geophysics - A python package for simulation and gradient based parameter estimation in the context of geophysical applications.
The vision is to create a package for finite volume simulation with applications to geophysical imaging and subsurface flow. To enable the understanding of the many different components, this package has the following features:
+3 -11
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@@ -1,11 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from builtins import super
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import *
class FieldsDC_CC(Problem.Fields):
@@ -69,7 +61,7 @@ class SrcDipole(Survey.BaseSrc):
pts = [self.loc[0], self.loc[1]]
inds = Utils.closestPoints(prob.mesh, pts)
q = np.zeros(prob.mesh.nC)
q[inds] = - self.current * (np.r_[1., -1.] / prob.mesh.vol[inds])
q[inds] = - self.current * ( np.r_[1., -1.] / prob.mesh.vol[inds] )
# self._rhsDict[mesh] = q
# return self._rhsDict[mesh]
return q
@@ -170,8 +162,8 @@ class ProblemDC_CC(Problem.BaseProblem):
"""
Makes the matrix A(m) for the DC resistivity problem.
:param numpy.ndarray m: model
:rtype: scipy.sparse.csc_matrix
:param numpy.array m: model
:rtype: scipy.csc_matrix
:return: A(m)
.. math::
+3 -10
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@@ -1,12 +1,5 @@
from __future__ import absolute_import
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import *
from .BaseDC import SurveyDC, FieldsDC_CC
from BaseDC import SurveyDC, FieldsDC_CC
class SurveyIP(SurveyDC):
"""
@@ -59,7 +52,7 @@ class ProblemIP(Problem.BaseProblem):
# sigma = self.curModel.transform
sigma = self.sigma
Av = self.mesh.aveF2CC
self._Msig = Utils.sdiag(1//(self.mesh.dim * Av.T * (1/sigma)))
self._Msig = Utils.sdiag(1/(self.mesh.dim * Av.T * (1/sigma)))
return self._Msig
@property
@@ -78,7 +71,7 @@ class ProblemIP(Problem.BaseProblem):
Makes the matrix A(m) for the DC resistivity problem.
:param numpy.array m: model
:rtype: scipy.sparse.csc_matrix
:rtype: scipy.csc_matrix
:return: A(m)
.. math::
+21 -31
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@@ -1,16 +1,6 @@
from __future__ import print_function
from __future__ import absolute_import
from __future__ import division
from __future__ import unicode_literals
from builtins import open
from builtins import int
from future import standard_library
standard_library.install_aliases()
from builtins import map
from builtins import range
from SimPEG import np, Utils
from . import BaseDC as DC
from . import BaseDC as IP
import BaseDC as DC
import BaseDC as IP
import warnings
def getActiveindfromTopo(mesh, topo):
@@ -77,7 +67,7 @@ def readUBC_DC3Dobstopo(filename,mesh,topo,probType="CC"):
if "!" in line.split(): continue
elif line == '\n': continue
elif line == ' \n': continue
temp = list(map(float, line.split()))
temp = map(float, line.split())
# Read a line for the current electrode
if len(temp) == 5: # SRC: Only X and Y are provided (assume no topography)
#TODO consider topography and assign the closest cell center in the earth
@@ -238,10 +228,10 @@ def plot_pseudoSection(DCsurvey, axs, surveyType='dipole-dipole', unitType='volt
elif surveyType == 'dipole-dipole':
leg = data * 2*np.pi / (1/MA - 1/MB - 1/NB + 1/NA)
leg = data * 2*np.pi / ( 1/MA - 1/MB - 1/NB + 1/NA )
else:
print("""unitType must be 'pole-dipole' | 'dipole-dipole' """)
print """unitType must be 'pole-dipole' | 'dipole-dipole' """
break
@@ -256,11 +246,11 @@ def plot_pseudoSection(DCsurvey, axs, surveyType='dipole-dipole', unitType='volt
rho = np.hstack([rho,leg])
else:
print("""unitType must be 'appResistivity' | 'appConductivity' | 'volt' """)
print """unitType must be 'appResistivity' | 'appConductivity' | 'volt' """
break
midx = np.hstack([midx, (Cmid + Pmid)/2])
midz = np.hstack([midz, -np.abs(Cmid-Pmid)/2 + (Tx[0][2] + Tx[1][2])/2])
midx = np.hstack([midx, ( Cmid + Pmid )/2 ])
midz = np.hstack([midz, -np.abs(Cmid-Pmid)/2 + (Tx[0][2] + Tx[1][2])/2 ])
# Grid points
grid_x, grid_z = np.mgrid[np.min(midx):np.max(midx), np.min(midz):np.max(midz)]
@@ -350,11 +340,11 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
dl_x = ( endl[1,0] - endl[0,0] ) / dl_len
dl_y = ( endl[1,1] - endl[0,1] ) / dl_len
nstn = np.floor(dl_len / AM_sep)
nstn = np.floor( dl_len / AM_sep )
# Compute discrete pole location along line
stn_x = endl[0,0] + np.array(list(range(int(nstn))))*dl_x*AM_sep
stn_y = endl[0,1] + np.array(list(range(int(nstn))))*dl_y*AM_sep
stn_x = endl[0,0] + np.array(range(int(nstn)))*dl_x*AM_sep
stn_y = endl[0,1] + np.array(range(int(nstn)))*dl_y*AM_sep
# Create line of P1 locations
M = np.c_[stn_x, stn_y, np.ones(nstn).T*mesh.vectorNz[-1]]
@@ -386,15 +376,15 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
AB = xy_2_r(tx[0,1],endl[1,0],tx[1,1],endl[1,1])
# Number of receivers to fit
nstn = np.min([(AB - MN_sep) // AM_sep, nrx])
nstn = np.min([np.floor( (AB - MN_sep) / AM_sep ) , nrx])
# Check if there is enough space, else break the loop
if nstn <= 0:
continue
# Compute discrete pole location along line
stn_x = N[ii,0] + dl_x*MN_sep + np.array(list(range(int(nstn))))*dl_x*AM_sep
stn_y = N[ii,1] + dl_y*MN_sep + np.array(list(range(int(nstn))))*dl_y*AM_sep
stn_x = N[ii,0] + dl_x*MN_sep + np.array(range(int(nstn)))*dl_x*AM_sep
stn_y = N[ii,1] + dl_y*MN_sep + np.array(range(int(nstn)))*dl_y*AM_sep
# Create receiver poles
# Create line of P1 locations
@@ -429,15 +419,15 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
box_l = np.sqrt( (min_x - max_x)**2 + (min_y - max_y)**2 )
box_w = box_l/2.
nstn = box_l // AM_sep
nstn = np.floor( box_l / AM_sep )
# Compute discrete pole location along line
stn_x = min_x + np.array(list(range(int(nstn))))*dl_x*AM_sep
stn_y = min_y + np.array(list(range(int(nstn))))*dl_y*AM_sep
stn_x = min_x + np.array(range(int(nstn)))*dl_x*AM_sep
stn_y = min_y + np.array(range(int(nstn)))*dl_y*AM_sep
# Define number of cross lines
nlin = int(box_w // AM_sep)
lind = list(range(-nlin,nlin+1))
nlin = int(np.floor( box_w / AM_sep ))
lind = range(-nlin,nlin+1)
ngrad = nstn * len(lind)
@@ -459,7 +449,7 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
srcClass = DC.SrcDipole([rxClass], M[0,:], N[-1,:])
SrcList.append(srcClass)
else:
print("""surveyType must be either 'pole-dipole', 'dipole-dipole' or 'gradient'. """)
print """surveyType must be either 'pole-dipole', 'dipole-dipole' or 'gradient'. """
survey = DC.SurveyDC(SrcList)
return survey, Tx, Rx
@@ -678,7 +668,7 @@ def readUBC_DC3Dobs(fileName, rtype = 'DC'):
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!')
else:
print("rtype must be 'DC'(default) | 'IP'")
print "rtype must be 'DC'(default) | 'IP'"
# Pre-allocate
srcLists = []
+1 -8
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@@ -1,10 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import range
import numpy as np
def WennerSrcList(nElecs, aSpacing, in2D=False, plotIt=False):
@@ -12,7 +5,7 @@ def WennerSrcList(nElecs, aSpacing, in2D=False, plotIt=False):
import SimPEG.DCIP as DC
elocs = np.arange(0,aSpacing*nElecs,aSpacing)
elocs -= (nElecs*aSpacing - aSpacing) / 2
elocs -= (nElecs*aSpacing - aSpacing)/2
space = 1
WENNER = np.zeros((0,),dtype=int)
for ii in range(nElecs):
+4 -10
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@@ -1,10 +1,4 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from .BaseDC import *
from .BaseIP import *
from .DCIPUtils import *
from . import Utils
from BaseDC import *
from BaseIP import *
from DCIPUtils import *
import Utils
+6 -13
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@@ -1,16 +1,7 @@
from __future__ import print_function
from __future__ import division
from __future__ import unicode_literals
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import object
from . import Utils, Survey, Problem
import numpy as np, scipy.sparse as sp, gc
from future.utils import with_metaclass
import Utils, Survey, Problem, numpy as np, scipy.sparse as sp, gc
class BaseDataMisfit(with_metaclass(Utils.SimPEGMetaClass, object)):
class BaseDataMisfit(object):
"""BaseDataMisfit
.. note::
@@ -18,6 +9,8 @@ class BaseDataMisfit(with_metaclass(Utils.SimPEGMetaClass, object)):
You should inherit from this class to create your own data misfit term.
"""
__metaclass__ = Utils.SimPEGMetaClass
debug = False #: Print debugging information
counter = None #: Set this to a SimPEG.Utils.Counter() if you want to count things
@@ -100,11 +93,11 @@ class l2_DataMisfit(BaseDataMisfit):
survey = self.survey
if getattr(survey,'std', None) is None:
print('SimPEG.DataMisfit.l2_DataMisfit assigning default std of 5%')
print 'SimPEG.DataMisfit.l2_DataMisfit assigning default std of 5%'
survey.std = 0.05
if getattr(survey, 'eps', None) is None:
print('SimPEG.DataMisfit.l2_DataMisfit assigning default eps of 1e-5 * ||dobs||')
print 'SimPEG.DataMisfit.l2_DataMisfit assigning default eps of 1e-5 * ||dobs||'
survey.eps = np.linalg.norm(Utils.mkvc(survey.dobs),2)*1e-5
self._Wd = Utils.sdiag(1/(abs(survey.dobs)*survey.std+survey.eps))
+49 -82
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@@ -1,15 +1,4 @@
from __future__ import print_function
from __future__ import division
from __future__ import unicode_literals
from __future__ import absolute_import
from builtins import open
from builtins import int
from future import standard_library
standard_library.install_aliases()
from builtins import str
from builtins import object
from . import Utils
import numpy as np
import Utils, numpy as np
class InversionDirective(object):
"""InversionDirective"""
@@ -26,7 +15,7 @@ class InversionDirective(object):
@inversion.setter
def inversion(self, i):
if getattr(self,'_inversion',None) is not None:
print('Warning: InversionDirective %s has switched to a new inversion.' % self.__name__)
print 'Warning: InversionDirective %s has switched to a new inversion.' % self.__name__
self._inversion = i
@property
@@ -79,7 +68,7 @@ class DirectiveList(object):
def inversion(self, i):
if self.inversion is i: return
if getattr(self,'_inversion',None) is not None:
print('Warning: %s has switched to a new inversion.' % self.__name__)
print 'Warning: %s has switched to a new inversion.' % self.__name__
for d in self.dList:
d.inversion = i
self._inversion = i
@@ -131,7 +120,7 @@ class BetaEstimate_ByEig(InversionDirective):
:return: beta0
"""
if self.debug: print('Calculating the beta0 parameter.')
if self.debug: print 'Calculating the beta0 parameter.'
m = self.invProb.curModel
f = self.invProb.getFields(m, store=True, deleteWarmstart=False)
@@ -152,7 +141,7 @@ class BetaSchedule(InversionDirective):
def endIter(self):
if self.opt.iter > 0 and self.opt.iter % self.coolingRate == 0:
if self.debug: print('BetaSchedule is cooling Beta. Iteration: %d' % self.opt.iter)
if self.debug: print 'BetaSchedule is cooling Beta. Iteration: %d' % self.opt.iter
self.invProb.beta /= self.coolingFactor
@@ -178,7 +167,7 @@ class TargetMisfit(InversionDirective):
class SaveEveryIteration(InversionDirective):
class _SaveEveryIteration(InversionDirective):
@property
def name(self):
if getattr(self, '_name', None) is None:
@@ -199,21 +188,21 @@ class SaveEveryIteration(InversionDirective):
self._fileName = value
class SaveModelEveryIteration(SaveEveryIteration):
class SaveModelEveryIteration(_SaveEveryIteration):
"""SaveModelEveryIteration"""
def initialize(self):
print("SimPEG.SaveModelEveryIteration will save your models as: '###-%s.npy'"%self.fileName)
print "SimPEG.SaveModelEveryIteration will save your models as: '###-%s.npy'"%self.fileName
def endIter(self):
np.save('%03d-%s' % (self.opt.iter, self.fileName), self.opt.xc)
class SaveOutputEveryIteration(SaveEveryIteration):
class SaveOutputEveryIteration(_SaveEveryIteration):
"""SaveModelEveryIteration"""
def initialize(self):
print("SimPEG.SaveOutputEveryIteration will save your inversion progress as: '###-%s.txt'"%self.fileName)
print "SimPEG.SaveOutputEveryIteration will save your inversion progress as: '###-%s.txt'"%self.fileName
f = open(self.fileName+'.txt', 'w')
f.write(" # beta phi_d phi_m f\n")
f.close()
@@ -223,48 +212,40 @@ 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):
"""SaveOutputDictEveryIteration"""
class SaveOutputDictEveryIteration(_SaveEveryIteration):
"""
Saves inversion parameters at every iteraion.
"""
def initialize(self):
print("SimPEG.SaveOutputDictEveryIteration will save your inversion progress as dictionary: '###-%s.npz'"%self.fileName)
print "SimPEG.SaveOutputDictEveryIteration will save your inversion progress as dictionary: '###-%s.npz'"%self.fileName
def endIter(self):
# Save the data.
ms = self.reg.Ws * ( self.reg.mapping * (self.invProb.curModel - self.reg.mref) )
phi_ms = 0.5*ms.dot(ms)
if self.reg.mrefInSmooth == True:
mref = self.reg.mref
else:
mref = 0
mx = self.reg.Wx * ( self.reg.mapping * (self.invProb.curModel - mref) )
phi_mx = 0.5 * mx.dot(mx)
if self.prob.mesh.dim >= 2:
my = self.reg.Wy * ( self.reg.mapping * (self.invProb.curModel - mref) )
phi_my = 0.5 * my.dot(my)
else:
phi_my = 'NaN'
if self.prob.mesh.dim==3:
mz = self.reg.Wz * ( self.reg.mapping * (self.invProb.curModel - mref) )
phi_mz = 0.5 * mz.dot(mz)
else:
phi_mz = 'NaN'
# Initialize the output dict
outDict = {}
# Save the data.
outDict['iter'] = self.opt.iter
outDict['beta'] = self.invProb.beta
outDict['phi_d'] = self.invProb.phi_d
outDict['phi_ms'] = self.reg._evalSmall(self.invProb.curModel)
outDict['phi_mx'] = self.reg._evalSmoothx(self.invProb.curModel)
outDict['phi_my'] = self.reg._evalSmoothy(self.invProb.curModel) if self.prob.mesh.dim >= 2 else 'NaN'
outDict['phi_mz'] = self.reg._evalSmoothz(self.invProb.curModel) if self.prob.mesh.dim==3 else 'NaN'
outDict['f'] = self.opt.f
outDict['m'] = self.invProb.curModel
outDict['dpred'] = self.invProb.dpred
# Save the file as a npz
np.savez('{:03d}-{:s}'.format(self.opt.iter,self.fileName), iter=self.opt.iter, beta=self.invProb.beta, phi_d=self.invProb.phi_d, phi_m=self.invProb.phi_m, phi_ms=phi_ms, phi_mx=phi_mx, phi_my=phi_my, phi_mz=phi_mz,f=self.opt.f, m=self.invProb.curModel,dpred=self.invProb.dpred)
# mref = getattr(self, 'm_prev', None)
# if mref is None:
# if self.debug: print 'UpdateReferenceModel is using mref0'
# mref = self.mref0
# self.m_prev = self.invProb.m_current
# return mref
np.savez('{:03d}-{:s}'.format(self.opt.iter,self.fileName), outDict)
class Update_IRLS(InversionDirective):
eps_min = None
eps = None
eps_p = None
eps_q = None
norms = [2.,2.,2.,2.]
factor = None
gamma = None
@@ -273,7 +254,6 @@ 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
@@ -305,25 +285,12 @@ class Update_IRLS(InversionDirective):
# After reaching target misfit with l2-norm, switch to IRLS (mode:2)
if self.invProb.phi_d < self.target and self.mode == 1:
print("Convergence with smooth l2-norm regularization: Start IRLS steps...")
print "Convergence with smooth l2-norm regularization: Start IRLS steps..."
self.mode = 2
# Either use the supplied epsilon, or fix base on distribution of
# model values
if getattr(self, 'reg.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, 'reg.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]
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))
print self.eps_p, self.eps_q, self.norms
self.reg.eps_p = self.eps_p
self.reg.eps_q = self.eps_q
self.reg.norms = self.norms
self.coolingFactor = 1.
self.coolingRate = 1
@@ -339,7 +306,7 @@ class Update_IRLS(InversionDirective):
# Beta Schedule
if self.opt.iter > 0 and self.opt.iter % self.coolingRate == 0:
if self.debug: print('BetaSchedule is cooling Beta. Iteration: %d' % self.opt.iter)
if self.debug: print 'BetaSchedule is cooling Beta. Iteration: %d' % self.opt.iter
self.invProb.beta /= self.coolingFactor
@@ -351,30 +318,30 @@ class Update_IRLS(InversionDirective):
phim_new = self.reg.eval(self.invProb.curModel)
self.f_change = np.abs(self.f_old - phim_new) / self.f_old
print("Regularization decrease: %6.3e" % (self.f_change))
print "Regularization decrease: %6.3e" % (self.f_change)
# Check for maximum number of IRLS cycles
if self.IRLSiter == self.maxIRLSiter:
print("Reach maximum number of IRLS cycles: %i" % self.maxIRLSiter)
print "Reach maximum number of IRLS cycles: %i" % self.maxIRLSiter
self.opt.stopNextIteration = True
return
# Check if the function has changed enough
if self.f_change < self.f_min_change and self.IRLSiter > 1:
print("Minimum decrease in regularization. End of IRLS")
print "Minimum decrease in regularization. End of IRLS"
self.opt.stopNextIteration = True
return
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
-7
View File
@@ -1,10 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import range
import numpy as np
from scipy.constants import mu_0, pi
from scipy import special
-5
View File
@@ -1,9 +1,4 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
import numpy as np
from scipy.constants import mu_0, pi
from scipy.special import erf
-307
View File
@@ -1,307 +0,0 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
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 -7
View File
@@ -1,9 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import Utils, np
from scipy.constants import mu_0, epsilon_0
from SimPEG.EM.Utils.EMUtils import k
@@ -40,7 +34,7 @@ def _getCasingHertzMagDipoleDeriv_r(srcloc,obsloc,freq,sigma,a,b,mu=mu_0*np.ones
sqrtr2z2 = np.sqrt(r2 + dxyz[:,2]**2)
k2 = k(freq,sigma[2],mu[2],eps)
return -HertzZ * np.sqrt(r2) / sqrtr2z2 * (1j*k2 + 1. / sqrtr2z2)
return -HertzZ * np.sqrt(r2) / sqrtr2z2 * (1j*k2 + 1./ sqrtr2z2)
def _getCasingHertzMagDipoleDeriv_z(srcloc,obsloc,freq,sigma,a,b,mu=mu_0*np.ones(3),eps=epsilon_0,moment=1.):
-6
View File
@@ -1,9 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
import numpy as np
from scipy.constants import mu_0, pi
from scipy.special import erf
+4 -11
View File
@@ -1,11 +1,4 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from .TDEM import hzAnalyticDipoleT
from .FDEM import hzAnalyticDipoleF
from .FDEMcasing import *
from .DC import DCAnalyticHalf, DCAnalyticSphere
from .FDEMDipolarfields import *
from TDEM import hzAnalyticDipoleT
from FDEM import hzAnalyticDipoleF
from FDEMcasing import *
from DC import DCAnalyticHalf, DCAnalyticSphere
+3 -10
View File
@@ -1,9 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import Survey, Problem, Utils, Models, Maps, PropMaps, np, sp, Solver as SimpegSolver
from scipy.constants import mu_0
@@ -26,10 +20,10 @@ class BaseEMProblem(Problem.BaseProblem):
Problem.BaseProblem.__init__(self, mesh, **kwargs)
surveyPair = Survey.BaseSurvey #: The survey to pair with.
dataPair = Survey.Data #: The data to pair with.
surveyPair = Survey.BaseSurvey
dataPair = Survey.Data
PropMap = EMPropMap #: The property mapping
PropMap = EMPropMap
Solver = SimpegSolver
solverOpts = {}
@@ -223,7 +217,6 @@ class BaseEMSurvey(Survey.BaseSurvey):
def eval(self, f):
"""
Project fields to receiver locations
:param Fields u: fields object
:rtype: numpy.ndarray
:return: data
+59 -54
View File
@@ -1,10 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from builtins import int
from future import standard_library
standard_library.install_aliases()
import numpy as np
import scipy.sparse as sp
import SimPEG
@@ -13,11 +6,11 @@ from SimPEG.EM.Utils import omega
from SimPEG.Utils import Zero, Identity, sdiag
class FieldsFDEM(SimPEG.Problem.Fields):
class Fields(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 object acts like an array and is indexed by
each problem, the rest are computed. The fields obejct acts like an array and is indexed by
.. code-block:: python
@@ -49,7 +42,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
:return: total electric field
"""
if getattr(self, '_ePrimary', None) is None or getattr(self, '_eSecondary', None) is None:
raise NotImplementedError ('Getting e from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting e from %s is not implemented' %self.knownFields.keys()[0])
return self._ePrimary(solution,srcList) + self._eSecondary(solution,srcList)
@@ -63,7 +56,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
:return: total magnetic flux density
"""
if getattr(self, '_bPrimary', None) is None or getattr(self, '_bSecondary', None) is None:
raise NotImplementedError ('Getting b from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting b from %s is not implemented' %self.knownFields.keys()[0])
return self._bPrimary(solution, srcList) + self._bSecondary(solution, srcList)
@@ -77,7 +70,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
:return: total magnetic field
"""
if getattr(self, '_hPrimary', None) is None or getattr(self, '_hSecondary', None) is None:
raise NotImplementedError ('Getting h from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting h from %s is not implemented' %self.knownFields.keys()[0])
return self._hPrimary(solution, srcList) + self._hSecondary(solution, srcList)
@@ -91,7 +84,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
:return: total current density
"""
if getattr(self, '_jPrimary', None) is None or getattr(self, '_jSecondary', None) is None:
raise NotImplementedError ('Getting j from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting j from %s is not implemented' %self.knownFields.keys()[0])
return self._jPrimary(solution, srcList) + self._jSecondary(solution, srcList)
@@ -99,7 +92,7 @@ class FieldsFDEM(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 SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
:param Src src: sorce
: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?
@@ -107,7 +100,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
:return: derivative times a vector (or tuple for adjoint)
"""
if getattr(self, '_eDeriv_u', None) is None or getattr(self, '_eDeriv_m', None) is None:
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %self.knownFields.keys()[0])
if adjoint:
return self._eDeriv_u(src, v, adjoint), self._eDeriv_m(src, v, adjoint)
@@ -117,7 +110,7 @@ class FieldsFDEM(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 SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
:param Src src: sorce
: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?
@@ -125,7 +118,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
:return: derivative times a vector (or tuple for adjoint)
"""
if getattr(self, '_bDeriv_u', None) is None or getattr(self, '_bDeriv_m', None) is None:
raise NotImplementedError ('Getting bDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting bDerivs from %s is not implemented' %self.knownFields.keys()[0])
if adjoint:
return self._bDeriv_u(src, v, adjoint), self._bDeriv_m(src, v, adjoint)
@@ -135,7 +128,7 @@ class FieldsFDEM(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 SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
:param Src src: sorce
: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?
@@ -143,7 +136,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
:return: derivative times a vector (or tuple for adjoint)
"""
if getattr(self, '_hDeriv_u', None) is None or getattr(self, '_hDeriv_m', None) is None:
raise NotImplementedError ('Getting hDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting hDerivs from %s is not implemented' %self.knownFields.keys()[0])
if adjoint:
return self._hDeriv_u(src, v, adjoint), self._hDeriv_m(src, v, adjoint)
@@ -153,7 +146,7 @@ class FieldsFDEM(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 SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
:param Src src: sorce
: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?
@@ -161,18 +154,18 @@ class FieldsFDEM(SimPEG.Problem.Fields):
:return: derivative times a vector (or tuple for adjoint)
"""
if getattr(self, '_jDeriv_u', None) is None or getattr(self, '_jDeriv_m', None) is None:
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %self.knownFields.keys()[0])
if adjoint:
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(FieldsFDEM):
class Fields3D_e(Fields):
"""
Fields object for Problem3D_e.
:param BaseMesh mesh: mesh
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
:param Mesh mesh: mesh
:param Survey survey: survey
"""
knownFields = {'eSolution':'E'}
@@ -187,6 +180,9 @@ class Fields3D_e(FieldsFDEM):
'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
@@ -292,7 +288,7 @@ class Fields3D_e(FieldsFDEM):
C = self._edgeCurl
b = (C * eSolution)
for i, src in enumerate(srcList):
b[:,i] *= -1./(1j*omega(src.freq))
b[:,i] *= - 1./(1j*omega(src.freq))
s_m, _ = src.eval(self.prob)
b[:,i] = b[:,i]+ 1./(1j*omega(src.freq)) * s_m
return b
@@ -352,7 +348,7 @@ class Fields3D_e(FieldsFDEM):
:rtype: numpy.ndarray
:return: product of the derivative of the current density with respect to the field we solved for with a vector
"""
n = int(self._aveE2CCV.shape[0] // self._nC) # number of components (instead of checking if cyl or not)
n = int(self._aveE2CCV.shape[0] / self._nC) # number of components (instead of checking if cyl or not)
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
if adjoint:
@@ -389,8 +385,8 @@ class Fields3D_e(FieldsFDEM):
:rtype: numpy.ndarray
:return: magnetic field
"""
n = int(self._aveF2CCV.shape[0] // self._nC) # Number of Components
VI = sdiag(np.kron(np.ones(n), 1. // self.prob.mesh.vol))
n = int(self._aveF2CCV.shape[0] / self._nC) # Number of Components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
return VI * (self._aveF2CCV * (self._MfMui * self._b(eSolution, srcList)))
@@ -404,7 +400,7 @@ class Fields3D_e(FieldsFDEM):
:rtype: numpy.ndarray
:return: product of the derivative of the magnetic field with respect to the field we solved for with a vector
"""
n = int(self._aveF2CCV.shape[0] // self._nC) # Number of Components
n = int(self._aveF2CCV.shape[0] / self._nC) # Number of Components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
if adjoint:
v = self._MfMui.T * (self._aveF2CCV.T * (VI.T * du_dm_v))
@@ -421,7 +417,7 @@ class Fields3D_e(FieldsFDEM):
:rtype: numpy.ndarray
:return: product of the magnetic field derivative with respect to the inversion model with a vector
"""
n = int(self._aveF2CCV.shape[0] // self._nC) # Number of Components
n = int(self._aveF2CCV.shape[0] / self._nC) # Number of Components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
if adjoint:
v = self._MfMui.T * (self._aveF2CCV.T * (VI.T * v))
@@ -430,12 +426,12 @@ class Fields3D_e(FieldsFDEM):
class Fields3D_b(FieldsFDEM):
class Fields3D_b(Fields):
"""
Fields object for Problem3D_b.
:param BaseMesh mesh: mesh
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
:param Mesh mesh: mesh
:param Survey survey: survey
"""
knownFields = {'bSolution':'F'}
@@ -450,6 +446,9 @@ class Fields3D_b(FieldsFDEM):
'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
@@ -614,7 +613,7 @@ class Fields3D_b(FieldsFDEM):
:return: primary current density
"""
n = int(self._aveE2CCV.shape[0] // self._nC) # number of components
n = int(self._aveE2CCV.shape[0] / self._nC) # number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
return VI * (self._aveE2CCV * ( self._MeSigma * self._e(bSolution,srcList ) ) )
@@ -631,7 +630,7 @@ class Fields3D_b(FieldsFDEM):
:rtype: numpy.ndarray
:return: product of the derivative of the current density with respect to the field we solved for with a vector
"""
n = int(self._aveE2CCV.shape[0] // self._nC) # number of components
n = int(self._aveE2CCV.shape[0] / self._nC) # number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
if adjoint:
return self._MfMui.T * ( self._edgeCurl * ( self._aveE2CCV.T * (VI.T * du_dm_v) ) )
@@ -659,7 +658,7 @@ class Fields3D_b(FieldsFDEM):
:rtype: numpy.ndarray
:return: magnetic field
"""
n = int(self._aveF2CCV.shape[0] // self._nC) #number of components
n = int(self._aveF2CCV.shape[0] / self._nC) #number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
return VI * (self._aveF2CCV * (self._MfMui * self._b(bSolution, srcList)))
@@ -674,7 +673,7 @@ class Fields3D_b(FieldsFDEM):
:rtype: numpy.ndarray
:return: product of the derivative of the magnetic field with respect to the field we solved for with a vector
"""
n = int(self._aveF2CCV.shape[0] // self._nC) #number of components
n = int(self._aveF2CCV.shape[0] / self._nC) #number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
if adjoint:
@@ -694,12 +693,12 @@ class Fields3D_b(FieldsFDEM):
return Zero()
class Fields3D_j(FieldsFDEM):
class Fields3D_j(Fields):
"""
Fields object for Problem3D_j.
:param BaseMesh mesh: mesh
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
:param Mesh mesh: mesh
:param Survey survey: survey
"""
knownFields = {'jSolution':'F'}
@@ -714,6 +713,9 @@ class Fields3D_j(FieldsFDEM):
'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
@@ -897,7 +899,7 @@ class Fields3D_j(FieldsFDEM):
:rtype: numpy.ndarray
:return: electric field
"""
n = int(self._aveF2CCV.shape[0] // self._nC) # number of components
n = int(self._aveF2CCV.shape[0] / self._nC) # number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
return VI * (self._aveF2CCV * (self._MfRho * self._j(jSolution, srcList)))
@@ -911,7 +913,7 @@ class Fields3D_j(FieldsFDEM):
:rtype: numpy.ndarray
:return: product of the derivative of the electric field with respect to the field we solved for with a vector
"""
n = int(self._aveF2CCV.shape[0] // self._nC) # number of components
n = int(self._aveF2CCV.shape[0] / self._nC) # number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
if adjoint:
return self._MfRho.T * ( self._aveF2CCV.T * ( VI.T * du_dm_v ) )
@@ -928,7 +930,7 @@ class Fields3D_j(FieldsFDEM):
:return: product of the derivative of the electric field with respect to the model with a vector
"""
jSolution = Utils.mkvc(self[src,'jSolution'])
n = int(self._aveF2CCV.shape[0] // self._nC) # number of components
n = int(self._aveF2CCV.shape[0] / self._nC) # number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
if adjoint:
return self._MfRhoDeriv(jSolution).T * ( self._aveF2CCV.T * ( VI.T * v ) )
@@ -943,7 +945,7 @@ class Fields3D_j(FieldsFDEM):
:rtype: numpy.ndarray
:return: secondary magnetic flux density
"""
n = int(self._aveE2CCV.shape[0] // self._nC) # number of components
n = int(self._aveE2CCV.shape[0] / self._nC) # number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
return VI * (self._aveE2CCV * ( self._MeMu * self._h(jSolution,srcList)) )
@@ -958,7 +960,7 @@ class Fields3D_j(FieldsFDEM):
:rtype: numpy.ndarray
:return: product of the derivative of the magnetic flux density with respect to the field we solved for with a vector
"""
n = int(self._aveF2CCV.shape[0] // self._nC) # number of components
n = int(self._aveF2CCV.shape[0] / self._nC) # number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
if adjoint:
@@ -976,7 +978,7 @@ class Fields3D_j(FieldsFDEM):
:return: product of the derivative of the magnetic flux density with respect to the model with a vector
"""
jSolution = self[src,'jSolution']
n = int(self._aveE2CCV.shape[0] // self._nC) # number of components
n = int(self._aveE2CCV.shape[0] / self._nC) # number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
s_mDeriv,_ = src.evalDeriv(self.prob, adjoint = adjoint)
@@ -986,12 +988,12 @@ class Fields3D_j(FieldsFDEM):
return 1./(1j * omega(src.freq)) * VI * (self._aveE2CCV * ( s_mDeriv(v) - self._edgeCurl.T * ( self._MfRhoDeriv(jSolution) * v ) ) )
class Fields3D_h(FieldsFDEM):
class Fields3D_h(Fields):
"""
Fields object for Problem3D_h.
:param BaseMesh mesh: mesh
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
:param Mesh mesh: mesh
:param Survey survey: survey
"""
knownFields = {'hSolution':'E'}
@@ -1006,6 +1008,9 @@ class Fields3D_h(FieldsFDEM):
'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
@@ -1158,7 +1163,7 @@ class Fields3D_h(FieldsFDEM):
:rtype: numpy.ndarray
:return: electric field
"""
n = int(self._aveF2CCV.shape[0] // self._nC) #number of components
n = int(self._aveF2CCV.shape[0] / self._nC) #number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
return VI * (self._aveF2CCV * (self._MfRho * self._j(hSolution, srcList)))
@@ -1172,7 +1177,7 @@ class Fields3D_h(FieldsFDEM):
:rtype: numpy.ndarray
:return: product of the derivative of the electric field with respect to the field we solved for with a vector
"""
n = int(self._aveF2CCV.shape[0] // self._nC) #number of components
n = int(self._aveF2CCV.shape[0] / self._nC) #number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
if adjoint:
return self._edgeCurl.T * ( self._MfRho.T * ( self._aveF2CCV.T * ( VI.T * du_dm_v ) ) )
@@ -1189,7 +1194,7 @@ class Fields3D_h(FieldsFDEM):
:return: product of the electric field derivative with respect to the inversion model with a vector
"""
hSolution = Utils.mkvc(self[src,'hSolution'])
n = int(self._aveF2CCV.shape[0] // self._nC) #number of components
n = int(self._aveF2CCV.shape[0] / self._nC) #number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
if adjoint:
return ( self._MfRhoDeriv(self._edgeCurl * hSolution).T * ( self._aveF2CCV.T * (VI.T * v) ) )
@@ -1205,7 +1210,7 @@ class Fields3D_h(FieldsFDEM):
:return: magnetic flux density
"""
h = self._h(hSolution, srcList)
n = int(self._aveE2CCV.shape[0] // self._nC) #number of components
n = int(self._aveE2CCV.shape[0] / self._nC) #number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
return VI * (self._aveE2CCV * (self._MeMu * h))
@@ -1220,7 +1225,7 @@ class Fields3D_h(FieldsFDEM):
:rtype: numpy.ndarray
:return: product of the derivative of the magnetic flux density with respect to the field we solved for with a vector
"""
n = int(self._aveE2CCV.shape[0] // self._nC) #number of components
n = int(self._aveE2CCV.shape[0] / self._nC) #number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
if adjoint:
return self._MeMu.T * (self._aveE2CCV.T * ( VI.T * du_dm_v ))
+17 -28
View File
@@ -1,13 +1,7 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
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 FieldsFDEM, Fields3D_e, Fields3D_b, Fields3D_h, Fields3D_j
from SurveyFDEM import Survey as SurveyFDEM
from FieldsFDEM import Fields, Fields3D_e, Fields3D_b, Fields3D_h, Fields3D_j
from SimPEG.EM.Base import BaseEMProblem
from SimPEG.EM.Utils import omega
@@ -37,11 +31,10 @@ 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 = FieldsFDEM
fieldsPair = Fields
def fields(self, m):
"""
@@ -71,7 +64,7 @@ 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.FieldsFDEM.FieldsFDEM u: fields object
:param SimPEG.EM.FDEM.Fields u: fields object
:rtype numpy.array:
:return: Jv (ndata,)
"""
@@ -106,7 +99,7 @@ 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.FieldsFDEM.FieldsFDEM u: fields object
:param SimPEG.EM.FDEM.Fields u: fields object
:rtype numpy.array:
:return: Jv (ndata,)
"""
@@ -160,8 +153,8 @@ class BaseFDEMProblem(BaseEMProblem):
Evaluates the sources for a given frequency and puts them in matrix form
:param float freq: Frequency
:rtype: tuple
:return: (s_m, s_e) (nE or nF, nSrc)
:rtype: (numpy.ndarray, numpy.ndarray)
:return: s_m, s_e (nE or nF, nSrc)
"""
Srcs = self.survey.getSrcByFreq(freq)
if self._formulation is 'EB':
@@ -201,7 +194,7 @@ class Problem3D_e(BaseFDEMProblem):
which we solve for :math:`\mathbf{e}`.
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
:param SimPEG.Mesh mesh: mesh
"""
_solutionType = 'eSolution'
@@ -276,7 +269,7 @@ class Problem3D_e(BaseFDEMProblem):
Derivative of the right hand side with respect to the model
:param float freq: frequency
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param SimPEG.EM.FDEM.Src src: FDEM source
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
@@ -312,7 +305,7 @@ class Problem3D_b(BaseFDEMProblem):
.. note ::
The inverse problem will not work with full anisotropy
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
:param SimPEG.Mesh mesh: mesh
"""
_solutionType = 'bSolution'
@@ -407,7 +400,7 @@ class Problem3D_b(BaseFDEMProblem):
Derivative of the right hand side with respect to the model
:param float freq: frequency
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param SimPEG.EM.FDEM.Src src: FDEM source
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
@@ -451,7 +444,6 @@ 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 ::
@@ -461,7 +453,7 @@ class Problem3D_j(BaseFDEMProblem):
.. note::
This implementation does not yet work with full anisotropy!!
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
:param SimPEG.Mesh mesh: mesh
"""
_solutionType = 'jSolution'
@@ -537,8 +529,8 @@ 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
:return: RHS (nE, nSrc)
:rtype: numpy.ndarray (nE, nSrc)
:return: RHS
"""
s_m, s_e = self.getSourceTerm(freq)
@@ -557,7 +549,7 @@ class Problem3D_j(BaseFDEMProblem):
Derivative of the right hand side with respect to the model
:param float freq: frequency
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param SimPEG.EM.FDEM.Src src: FDEM source
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
@@ -599,7 +591,7 @@ 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.BaseMesh.BaseMesh mesh: mesh
:param SimPEG.Mesh mesh: mesh
"""
_solutionType = 'hSolution'
@@ -616,11 +608,9 @@ 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
@@ -663,7 +653,6 @@ class Problem3D_h(BaseFDEMProblem):
:param float freq: Frequency
:rtype: numpy.ndarray
:return: RHS (nE, nSrc)
"""
s_m, s_e = self.getSourceTerm(freq)
@@ -677,7 +666,7 @@ class Problem3D_h(BaseFDEMProblem):
Derivative of the right hand side with respect to the model
:param float freq: frequency
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param SimPEG.EM.FDEM.Src src: FDEM source
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
+5 -12
View File
@@ -1,10 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from builtins import super
from future import standard_library
standard_library.install_aliases()
import SimPEG
from SimPEG import sp
@@ -32,10 +25,10 @@ class BaseRx(SimPEG.Survey.BaseRx):
def eval(self, src, mesh, f):
"""
Project fields to receivers to get data.
Project fields to recievers to get data.
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param BaseMesh mesh: mesh used
:param Source src: FDEM source
:param Mesh mesh: mesh used
:param Fields f: fields object
:rtype: numpy.ndarray
:return: fields projected to recievers
@@ -51,8 +44,8 @@ class BaseRx(SimPEG.Survey.BaseRx):
"""
Derivative of projected fields with respect to the inversion model times a vector.
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param BaseMesh mesh: mesh used
:param Source src: FDEM source
:param Mesh mesh: mesh used
:param Fields f: fields object
:param numpy.ndarray v: vector to multiply
:rtype: numpy.ndarray
+28 -34
View File
@@ -1,9 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import Survey, Problem, Utils, np, sp
from scipy.constants import mu_0
from SimPEG.EM.Utils import *
@@ -29,8 +23,8 @@ class BaseSrc(Survey.BaseSrc):
- :math:`s_m` : magnetic source term
- :math:`s_e` : electric source term
:param BaseFDEMProblem prob: FDEM Problem
:rtype: tuple
:param Problem prob: FDEM Problem
:rtype: (numpy.ndarray, numpy.ndarray)
:return: tuple with magnetic source term and electric source term
"""
s_m = self.s_m(prob)
@@ -43,10 +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 BaseFDEMProblem prob: FDEM Problem
:param Problem prob: FDEM Problem
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: tuple
:rtype: (numpy.ndarray, numpy.ndarray)
:return: tuple with magnetic source term and electric source term derivatives times a vector
"""
if v is not None:
@@ -58,7 +52,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Primary magnetic flux density
:param BaseFDEMProblem prob: FDEM Problem
:param Problem prob: FDEM Problem
:rtype: numpy.ndarray
:return: primary magnetic flux density
"""
@@ -70,7 +64,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Primary magnetic field
:param BaseFDEMProblem prob: FDEM Problem
:param Problem prob: FDEM Problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -82,7 +76,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Primary electric field
:param BaseFDEMProblem prob: FDEM Problem
:param Problem prob: FDEM Problem
:rtype: numpy.ndarray
:return: primary electric field
"""
@@ -94,7 +88,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Primary current density
:param BaseFDEMProblem prob: FDEM Problem
:param Problem prob: FDEM Problem
:rtype: numpy.ndarray
:return: primary current density
"""
@@ -106,7 +100,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Magnetic source term
:param BaseFDEMProblem prob: FDEM Problem
:param Problem prob: FDEM Problem
:rtype: numpy.ndarray
:return: magnetic source term on mesh
"""
@@ -116,7 +110,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Electric source term
:param BaseFDEMProblem prob: FDEM Problem
:param Problem prob: FDEM Problem
:rtype: numpy.ndarray
:return: electric source term on mesh
"""
@@ -126,7 +120,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Derivative of magnetic source term with respect to the inversion model
:param BaseFDEMProblem prob: FDEM Problem
:param Problem prob: FDEM Problem
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
@@ -139,7 +133,7 @@ class BaseSrc(Survey.BaseSrc):
"""
Derivative of electric source term with respect to the inversion model
:param BaseFDEMProblem prob: FDEM Problem
:param Problem prob: FDEM Problem
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
@@ -168,7 +162,7 @@ class RawVec_e(BaseSrc):
"""
Electric source term
:param BaseFDEMProblem prob: FDEM Problem
:param Problem prob: FDEM Problem
:rtype: numpy.ndarray
:return: electric source term on mesh
"""
@@ -197,7 +191,7 @@ class RawVec_m(BaseSrc):
"""
Magnetic source term
:param BaseFDEMProblem prob: FDEM Problem
:param Problem prob: FDEM Problem
:rtype: numpy.ndarray
:return: magnetic source term on mesh
"""
@@ -226,7 +220,7 @@ class RawVec(BaseSrc):
"""
Magnetic source term
:param BaseFDEMProblem prob: FDEM Problem
:param Problem prob: FDEM Problem
:rtype: numpy.ndarray
:return: magnetic source term on mesh
"""
@@ -238,7 +232,7 @@ class RawVec(BaseSrc):
"""
Electric source term
:param BaseFDEMProblem prob: FDEM Problem
:param Problem prob: FDEM Problem
:rtype: numpy.ndarray
:return: electric source term on mesh
"""
@@ -307,7 +301,7 @@ class MagDipole(BaseSrc):
"""
The primary magnetic flux density from a magnetic vector potential
:param BaseFDEMProblem prob: FDEM problem
:param Problem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -345,7 +339,7 @@ class MagDipole(BaseSrc):
"""
The primary magnetic field from a magnetic vector potential
:param BaseFDEMProblem prob: FDEM problem
:param Problem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -356,7 +350,7 @@ class MagDipole(BaseSrc):
"""
The magnetic source term
:param BaseFDEMProblem prob: FDEM problem
:param Problem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -370,7 +364,7 @@ class MagDipole(BaseSrc):
"""
The electric source term
:param BaseFDEMProblem prob: FDEM problem
:param Problem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -422,7 +416,7 @@ class MagDipole_Bfield(BaseSrc):
"""
The primary magnetic flux density from the analytic solution for magnetic fields from a dipole
:param BaseFDEMProblem prob: FDEM problem
:param Problem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -461,7 +455,7 @@ class MagDipole_Bfield(BaseSrc):
"""
The primary magnetic field from a magnetic vector potential
:param BaseFDEMProblem prob: FDEM problem
:param Problem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -472,7 +466,7 @@ class MagDipole_Bfield(BaseSrc):
"""
The magnetic source term
:param BaseFDEMProblem prob: FDEM problem
:param Problem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -485,7 +479,7 @@ class MagDipole_Bfield(BaseSrc):
"""
The electric source term
:param BaseFDEMProblem prob: FDEM problem
:param Problem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -536,7 +530,7 @@ class CircularLoop(BaseSrc):
"""
The primary magnetic flux density from a magnetic vector potential
:param BaseFDEMProblem prob: FDEM problem
:param Problem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -573,7 +567,7 @@ class CircularLoop(BaseSrc):
"""
The primary magnetic field from a magnetic vector potential
:param BaseFDEMProblem prob: FDEM problem
:param Problem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -584,7 +578,7 @@ class CircularLoop(BaseSrc):
"""
The magnetic source term
:param BaseFDEMProblem prob: FDEM problem
:param Problem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
@@ -597,7 +591,7 @@ class CircularLoop(BaseSrc):
"""
The electric source term
:param BaseFDEMProblem prob: FDEM problem
:param Problem prob: FDEM problem
:rtype: numpy.ndarray
:return: primary magnetic field
"""
+2 -8
View File
@@ -1,16 +1,10 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
import SimPEG
from SimPEG.EM.Utils import *
from SimPEG.EM.Base import BaseEMSurvey
from scipy.constants import mu_0
from SimPEG.Utils import Zero, Identity
from . import SrcFDEM as Src
from . import RxFDEM as Rx
import SrcFDEM as Src
import RxFDEM as Rx
from SimPEG import sp
class Survey(BaseEMSurvey):
+5 -11
View File
@@ -1,11 +1,5 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from .SurveyFDEM import Survey
from . import SrcFDEM as Src
from . import RxFDEM as Rx
from .ProblemFDEM import Problem3D_e, Problem3D_b, Problem3D_j, Problem3D_h
from .FieldsFDEM import Fields3D_e, Fields3D_b, Fields3D_j, Fields3D_h
from SurveyFDEM import Survey
import SrcFDEM as Src
import RxFDEM as Rx
from ProblemFDEM import Problem3D_e, Problem3D_b, Problem3D_j, Problem3D_h
from FieldsFDEM import Fields3D_e, Fields3D_b, Fields3D_j, Fields3D_h
-6
View File
@@ -1,9 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
import numpy as np
def getxBCyBC_CC(mesh, alpha, beta, gamma):
+3 -9
View File
@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
import SimPEG
from SimPEG.Utils import Identity, Zero
import numpy as np
@@ -15,7 +9,7 @@ class Fields(SimPEG.Problem.Fields):
def _phiDeriv(self, src, du_dm_v, v, adjoint=False):
if getattr(self, '_phiDeriv_u', None) is None or getattr(self, '_phiDeriv_m', None) is None:
raise NotImplementedError ('Getting phiDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting phiDerivs from %s is not implemented' %self.knownFields.keys()[0])
if adjoint:
return self._phiDeriv_u(src, v, adjoint=adjoint), self._phiDeriv_m(src, v, adjoint=adjoint)
@@ -24,7 +18,7 @@ class Fields(SimPEG.Problem.Fields):
def _eDeriv(self, src, du_dm_v, v, adjoint=False):
if getattr(self, '_eDeriv_u', None) is None or getattr(self, '_eDeriv_m', None) is None:
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %self.knownFields.keys()[0])
if adjoint:
return self._eDeriv_u(src, v, adjoint), self._eDeriv_m(src, v, adjoint)
@@ -32,7 +26,7 @@ class Fields(SimPEG.Problem.Fields):
def _jDeriv(self, src, du_dm_v, v, adjoint=False):
if getattr(self, '_jDeriv_u', None) is None or getattr(self, '_jDeriv_m', None) is None:
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %self.knownFields.keys()[0])
if adjoint:
return self._jDeriv_u(src, v, adjoint), self._jDeriv_m(src, v, adjoint)
+3 -9
View File
@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
import SimPEG
from SimPEG.Utils import Identity, Zero
import numpy as np
@@ -38,7 +32,7 @@ class Fields_ky(SimPEG.Problem.TimeFields):
def _phiDeriv(self,kyInd, src, du_dm_v, v, adjoint=False):
if getattr(self, '_phiDeriv_u', None) is None or getattr(self, '_phiDeriv_m', None) is None:
raise NotImplementedError ('Getting phiDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting phiDerivs from %s is not implemented' %self.knownFields.keys()[0])
if adjoint:
return self._phiDeriv_u(kyInd, src, v, adjoint=adjoint), self._phiDeriv_m(kyInd, src, v, adjoint=adjoint)
@@ -47,7 +41,7 @@ class Fields_ky(SimPEG.Problem.TimeFields):
def _eDeriv(self,kyInd, src, du_dm_v, v, adjoint=False):
if getattr(self, '_eDeriv_u', None) is None or getattr(self, '_eDeriv_m', None) is None:
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %self.knownFields.keys()[0])
if adjoint:
return self._eDeriv_u(kyInd, src, v, adjoint), self._eDeriv_m(kyInd, src, v, adjoint)
@@ -55,7 +49,7 @@ class Fields_ky(SimPEG.Problem.TimeFields):
def _jDeriv(self,kyInd, src, du_dm_v, v, adjoint=False):
if getattr(self, '_jDeriv_u', None) is None or getattr(self, '_jDeriv_m', None) is None:
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %self.knownFields.keys()[0])
if adjoint:
return self._jDeriv_u(kyInd, src, v, adjoint), self._jDeriv_m(kyInd, src, v, adjoint)
+3 -9
View File
@@ -1,17 +1,11 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from SimPEG import Problem, Utils
from SimPEG.EM.Base import BaseEMProblem
from .SurveyDC import Survey
from .FieldsDC import Fields, Fields_CC, Fields_N
from SurveyDC import Survey
from FieldsDC import Fields, Fields_CC, Fields_N
from SimPEG.Utils import sdiag
import numpy as np
from SimPEG.Utils import Zero
from .BoundaryUtils import getxBCyBC_CC
from BoundaryUtils import getxBCyBC_CC
class BaseDCProblem(BaseEMProblem):
+3 -10
View File
@@ -1,18 +1,11 @@
from __future__ import absolute_import
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import Problem, Utils
from SimPEG.EM.Base import BaseEMProblem
from .SurveyDC import Survey, Survey_ky
from .FieldsDC_2D import Fields_ky, Fields_ky_CC, Fields_ky_N
from SurveyDC import Survey, Survey_ky
from FieldsDC_2D import Fields_ky, Fields_ky_CC, Fields_ky_N
from SimPEG.Utils import sdiag
import numpy as np
from SimPEG.Utils import Zero
from .BoundaryUtils import getxBCyBC_CC
from BoundaryUtils import getxBCyBC_CC
class BaseDCProblem_2D(BaseEMProblem):
-7
View File
@@ -1,10 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import range
import SimPEG
import numpy as np
from SimPEG.Utils import Zero, closestPoints
-6
View File
@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
import SimPEG
# from SimPEG.EM.Base import BaseEMSurvey
from SimPEG.Utils import Zero, closestPoints, mkvc
+2 -8
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@@ -1,15 +1,9 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
import SimPEG
from SimPEG.EM.Base import BaseEMSurvey
from SimPEG import sp, Survey
from SimPEG.Utils import Zero, Identity
from .RxDC import BaseRx
from .SrcDC import BaseSrc
from RxDC import BaseRx
from SrcDC import BaseSrc
class Survey(BaseEMSurvey):
rxPair = BaseRx
-7
View File
@@ -1,10 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import range
import numpy as np
def WennerSrcList(nElecs, aSpacing, in2D=False, plotIt=False):
+8 -14
View File
@@ -1,14 +1,8 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from .ProblemDC import Problem3D_CC, Problem3D_N
from .ProblemDC_2D import Problem2D_CC, Problem2D_N
from .SurveyDC import Survey, Survey_ky
from . import SrcDC as Src #Pole
from . import RxDC as Rx
from .FieldsDC import Fields_CC
from .BoundaryUtils import getxBCyBC_CC
from . import Utils
from ProblemDC import Problem3D_CC, Problem3D_N
from ProblemDC_2D import Problem2D_CC, Problem2D_N
from SurveyDC import Survey, Survey_ky
import SrcDC as Src #Pole
import RxDC as Rx
from FieldsDC import Fields_CC
from BoundaryUtils import getxBCyBC_CC
import Utils
+1 -7
View File
@@ -1,9 +1,3 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from SimPEG import Problem, Utils, Maps, Mesh
from SimPEG.EM.Base import BaseEMProblem
from SimPEG.EM.Static.DC.FieldsDC import Fields, Fields_CC, Fields_N
@@ -11,7 +5,7 @@ from SimPEG.Utils import sdiag
import numpy as np
from SimPEG.Utils import Zero
from SimPEG.EM.Static.DC import getxBCyBC_CC
from .SurveyIP import Survey
from SurveyIP import Survey
class IPPropMap(Maps.PropMap):
"""
-6
View File
@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
import SimPEG
from SimPEG.EM.Base import BaseEMSurvey
from SimPEG import sp, Survey
+2 -8
View File
@@ -1,8 +1,2 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from .ProblemIP import Problem3D_CC, Problem3D_N
from .SurveyIP import Survey
from ProblemIP import Problem3D_CC, Problem3D_N
from SurveyIP import Survey
+2 -10
View File
@@ -1,11 +1,3 @@
from __future__ import absolute_import
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from builtins import int
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import Problem, Utils, Maps, Mesh
from SimPEG.EM.Base import BaseEMProblem
from SimPEG.EM.Static.DC.FieldsDC import Fields, Fields_CC, Fields_N
@@ -13,7 +5,7 @@ from SimPEG.Utils import sdiag
import numpy as np
from SimPEG.Utils import Zero
from SimPEG.EM.Static.DC import getxBCyBC_CC
from .SurveySIP import Survey, Data
from SurveySIP import Survey, Data
class ColeColePropMap(Maps.PropMap):
"""
@@ -113,7 +105,7 @@ class BaseSIPProblem(BaseEMProblem):
JvAll = []
#Assume only eta and tau (eta first then tau)
# v = [2*Mx1]
v = v.reshape((v.size//2), 2), order='F')
v = v.reshape((int(v.size/2), 2), order='F')
for tind in range(len(self.survey.times)):
t = self.survey.times[tind]
-7
View File
@@ -1,10 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import Utils, Maps, Mesh, sp, np
from SimPEG.Regularization import BaseRegularization, Simple
-6
View File
@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
import SimPEG
import numpy as np
from SimPEG.Utils import Zero, closestPoints
-6
View File
@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
import SimPEG
# from SimPEG.EM.Base import BaseEMSurvey
from SimPEG.Utils import Zero, closestPoints, mkvc
-7
View File
@@ -1,10 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import str
import SimPEG
from SimPEG.EM.Base import BaseEMSurvey
from SimPEG import np, sp, Survey, Utils
+5 -11
View File
@@ -1,11 +1,5 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from .ProblemSIP import Problem3D_CC, Problem3D_N
from .SurveySIP import Survey, Data
from . import SrcSIP as Src #Pole
from . import RxSIP as Rx
from .Regularization import MultiRegularization
from ProblemSIP import Problem3D_CC, Problem3D_N
from SurveySIP import Survey, Data
import SrcSIP as Src #Pole
import RxSIP as Rx
from Regularization import MultiRegularization
+19 -27
View File
@@ -1,11 +1,3 @@
from __future__ import print_function
from __future__ import division
from __future__ import unicode_literals
from __future__ import absolute_import
from builtins import int
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import np
from SimPEG.EM.Static import DC, IP
@@ -93,10 +85,10 @@ def plot_pseudoSection(DCsurvey, axs, stype='dpdp', dtype="appc", clim=None):
elif stype == 'dpdp':
leg = data * 2*np.pi / (1/MA - 1/MB + 1/NB - 1/NA)
LEG.append(1./(2*np.pi) * (1/MA - 1/MB + 1/NB - 1/NA))
leg = data * 2*np.pi / ( 1/MA - 1/MB + 1/NB - 1/NA )
LEG.append(1./(2*np.pi) *( 1/MA - 1/MB + 1/NB - 1/NA ))
else:
print("""dtype must be 'pdp'(pole-dipole) | 'dpdp' (dipole-dipole) """)
print """dtype must be 'pdp'(pole-dipole) | 'dpdp' (dipole-dipole) """
break
@@ -111,7 +103,7 @@ def plot_pseudoSection(DCsurvey, axs, stype='dpdp', dtype="appc", clim=None):
rho = np.hstack([rho,leg])
else:
print("""dtype must be 'appr' | 'appc' | 'volt' """)
print """dtype must be 'appr' | 'appc' | 'volt' """
break
@@ -192,14 +184,14 @@ def gen_DCIPsurvey(endl, mesh, stype, a, b, n):
# Mesure survey length and direction
dl_len = xy_2_r(endl[0,0],endl[1,0],endl[0,1],endl[1,1])
dl_x = (endl[1,0] - endl[0,0]) / dl_len
dl_y = (endl[1,1] - endl[0,1]) / dl_len
dl_x = ( endl[1,0] - endl[0,0] ) / dl_len
dl_y = ( endl[1,1] - endl[0,1] ) / dl_len
nstn = np.floor(dl_len / a)
nstn = np.floor( dl_len / a )
# Compute discrete pole location along line
stn_x = endl[0,0] + np.array(list(range(int(nstn))))*dl_x*a
stn_y = endl[0,1] + np.array(list(range(int(nstn))))*dl_y*a
stn_x = endl[0,0] + np.array(range(int(nstn)))*dl_x*a
stn_y = endl[0,1] + np.array(range(int(nstn)))*dl_y*a
if mesh.dim==2:
ztop = mesh.vectorNy[-1]
@@ -238,15 +230,15 @@ def gen_DCIPsurvey(endl, mesh, stype, a, b, n):
AB = xy_2_r(tx[0,1],endl[1,0],tx[1,1],endl[1,1])
# Number of receivers to fit
nstn = np.min([(AB - b) // a, n])
nstn = np.min([np.floor( (AB - b) / a ) , n])
# Check if there is enough space, else break the loop
if nstn <= 0:
continue
# Compute discrete pole location along line
stn_x = N[ii,0] + dl_x*b + np.array(list(range(int(nstn))))*dl_x*a
stn_y = N[ii,1] + dl_y*b + np.array(list(range(int(nstn))))*dl_y*a
stn_x = N[ii,0] + dl_x*b + np.array(range(int(nstn)))*dl_x*a
stn_y = N[ii,1] + dl_y*b + np.array(range(int(nstn)))*dl_y*a
# Create receiver poles
@@ -283,17 +275,17 @@ def gen_DCIPsurvey(endl, mesh, stype, a, b, n):
max_y = endl[1,1] - dl_y * b
box_l = np.sqrt( (min_x - max_x)**2 + (min_y - max_y)**2 )
box_w = box_l / 2.
box_w = box_l/2.
nstn = np.floor(box_l / a)
nstn = np.floor( box_l / a )
# Compute discrete pole location along line
stn_x = min_x + np.array(list(range(int(nstn))))*dl_x*a
stn_y = min_y + np.array(list(range(int(nstn))))*dl_y*a
stn_x = min_x + np.array(range(int(nstn)))*dl_x*a
stn_y = min_y + np.array(range(int(nstn)))*dl_y*a
# Define number of cross lines
nlin = int(box_w // a)
lind = list(range(-nlin,nlin+1))
nlin = int(np.floor( box_w / a ))
lind = range(-nlin,nlin+1)
ngrad = nstn * len(lind)
@@ -318,7 +310,7 @@ def gen_DCIPsurvey(endl, mesh, stype, a, b, n):
srcClass = DC.Src.Dipole([rxClass], M[0,:], N[-1,:])
SrcList.append(srcClass)
else:
print("""stype must be either 'pdp', 'dpdp' or 'gradient'. """)
print """stype must be either 'pdp', 'dpdp' or 'gradient'. """
return SrcList
+1 -7
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@@ -1,7 +1 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from .StaticUtils import *
from StaticUtils import *
+3 -9
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@@ -1,9 +1,3 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from . import DC
from . import IP
from . import SIP
import DC
import IP
import SIP
+17 -24
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@@ -1,10 +1,3 @@
from __future__ import print_function
from __future__ import unicode_literals
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import Solver, Problem
from SimPEG.Problem import BaseTimeProblem
from SimPEG.EM.Utils import *
@@ -54,7 +47,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
self.waveformType = "GENERAL"
def fields(self, m):
if self.verbose: print('%s\nCalculating fields(m)\n%s'%('*'*50,'*'*50))
if self.verbose: print '%s\nCalculating fields(m)\n%s'%('*'*50,'*'*50)
self.curModel = m
# Create a fields storage object
F = self._FieldsForward_pair(self.mesh, self.survey)
@@ -62,7 +55,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
# Set the initial conditions
F[src,:,0] = src.getInitialFields(self.mesh)
F = self.forward(m, self.getRHS, F=F)
if self.verbose: print('%s\nDone calculating fields(m)\n%s'%('*'*50,'*'*50))
if self.verbose: print '%s\nDone calculating fields(m)\n%s'%('*'*50,'*'*50)
return F
def forward(self, m, RHS, F=None):
@@ -77,13 +70,13 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
if Ainv is not None:
Ainv.clean()
A = self.getA(tInd)
if self.verbose: print('Factoring... (dt = %e)'%dt)
if self.verbose: print 'Factoring... (dt = %e)'%dt
Ainv = self.Solver(A, **self.solverOpts)
if self.verbose: print('Done')
if self.verbose: print 'Done'
rhs = RHS(tInd, F)
if self.verbose: print(' Solving... (tInd = %d)'%tInd)
if self.verbose: print ' Solving... (tInd = %d)'%tInd
sol = Ainv * rhs
if self.verbose: print(' Done...')
if self.verbose: print ' Done...'
if sol.ndim == 1:
sol.shape = (sol.size,1)
F[:,self.solType,tInd+1] = sol
@@ -102,13 +95,13 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
if Ainv is not None:
Ainv.clean()
A = self.getA(tInd)
if self.verbose: print('Factoring (Adjoint)... (dt = %e)'%dt)
if self.verbose: print 'Factoring (Adjoint)... (dt = %e)'%dt
Ainv = self.Solver(A, **self.solverOpts)
if self.verbose: print('Done')
if self.verbose: print 'Done'
rhs = RHS(tInd, F)
if self.verbose: print(' Solving (Adjoint)... (tInd = %d)'%tInd)
if self.verbose: print ' Solving (Adjoint)... (tInd = %d)'%tInd
sol = Ainv * rhs
if self.verbose: print(' Done...')
if self.verbose: print ' Done...'
if sol.ndim == 1:
sol.shape = (sol.size,1)
F[:,self.solType,tInd+1] = sol
@@ -119,7 +112,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
"""
:param numpy.array m: Conductivity model
:param numpy.ndarray v: vector (model object)
:param FieldsTDEM f: Fields resulting from m
:param simpegEM.TDEM.FieldsTDEM f: Fields resulting from m
:rtype: numpy.ndarray
:return: w (data object)
@@ -130,21 +123,21 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
* Compute \\\(\\\\vec{w} = -\\\mathbf{Q} \\\\vec{y}\\\)
"""
if self.verbose: print('%s\nCalculating J(v)\n%s'%('*'*50,'*'*50))
if self.verbose: print '%s\nCalculating J(v)\n%s'%('*'*50,'*'*50)
self.curModel = m
if f is None:
f = self.fields(m)
p = self.Gvec(m, v, f)
y = self.solveAh(m, p)
Jv = self.survey.evalDeriv(f, v=y)
if self.verbose: print('%s\nDone calculating J(v)\n%s'%('*'*50,'*'*50))
if self.verbose: print '%s\nDone calculating J(v)\n%s'%('*'*50,'*'*50)
return - mkvc(Jv)
def Jtvec(self, m, v, f=None):
"""
:param numpy.array m: Conductivity model
:param numpy.ndarray v: vector (or a :class:`SimPEG.Survey.Data` object)
:param FieldsTDEM u: Fields resulting from m
:param numpy.ndarray,SimPEG.Survey.Data v: vector (data object)
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m
:rtype: numpy.ndarray
:return: w (model object)
@@ -155,7 +148,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
* Compute \\\(\\\\vec{w} = -\\\mathbf{G}^\\\\top y\\\)
"""
if self.verbose: print('%s\nCalculating J^T(v)\n%s'%('*'*50,'*'*50))
if self.verbose: print '%s\nCalculating J^T(v)\n%s'%('*'*50,'*'*50)
self.curModel = m
if f is None:
f = self.fields(m)
@@ -166,6 +159,6 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
p = self.survey.evalDeriv(f, v=v, adjoint=True)
y = self.solveAht(m, p)
w = self.Gtvec(m, y, f)
if self.verbose: print('%s\nDone calculating J^T(v)\n%s'%('*'*50,'*'*50))
if self.verbose: print '%s\nDone calculating J^T(v)\n%s'%('*'*50,'*'*50)
return - mkvc(w)
+5 -11
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@@ -1,13 +1,7 @@
from __future__ import print_function
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from SimPEG import Utils, Survey, np
from SimPEG.Survey import BaseSurvey
from SimPEG.EM.Utils import *
from .BaseTDEM import FieldsTDEM
from BaseTDEM import FieldsTDEM
class RxTDEM(Survey.BaseTimeRx):
@@ -93,7 +87,7 @@ class SrcTDEM_VMD_MVP(SrcTDEM):
def getInitialFields(self, mesh):
"""Vertical magnetic dipole, magnetic vector potential"""
if self.waveformType == "STEPOFF":
print(">> Step waveform: Non-zero initial condition")
print ">> Step waveform: Non-zero initial condition"
if mesh._meshType is 'CYL':
if mesh.isSymmetric:
MVP = MagneticDipoleVectorPotential(self.loc, mesh, 'Ey')
@@ -105,7 +99,7 @@ class SrcTDEM_VMD_MVP(SrcTDEM):
raise Exception('Unknown mesh for VMD')
return {"b": mesh.edgeCurl*MVP}
elif self.waveformType == "GENERAL":
print(">> General waveform: Zero initial condition")
print ">> General waveform: Zero initial condition"
return {"b": np.zeros(mesh.nF)}
else:
raise NotImplementedError("Only use STEPOFF or GENERAL")
@@ -133,7 +127,7 @@ class SrcTDEM_CircularLoop_MVP(SrcTDEM):
def getInitialFields(self, mesh):
"""Circular Loop, magnetic vector potential"""
if self.waveformType == "STEPOFF":
print(">> Step waveform: Non-zero initial condition")
print ">> Step waveform: Non-zero initial condition"
if mesh._meshType is 'CYL':
if mesh.isSymmetric:
MVP = MagneticLoopVectorPotential(self.loc, mesh, 'Ey', self.radius)
@@ -145,7 +139,7 @@ class SrcTDEM_CircularLoop_MVP(SrcTDEM):
raise Exception('Unknown mesh for CircularLoop')
return {"b": mesh.edgeCurl*MVP}
elif self.waveformType == "GENERAL":
print(">> General waveform: Zero initial condition")
print ">> General waveform: Zero initial condition"
return {"b": np.zeros(mesh.nF)}
else:
raise NotImplementedError("Only use STEPOFF or GENERAL")
+15 -22
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@@ -1,14 +1,7 @@
from __future__ import absolute_import
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from future import standard_library
standard_library.install_aliases()
from builtins import range
from .BaseTDEM import BaseTDEMProblem, FieldsTDEM
from BaseTDEM import BaseTDEMProblem, FieldsTDEM
from SimPEG.Utils import mkvc, sdiag
import numpy as np
from .SurveyTDEM import SurveyTDEM
from SurveyTDEM import SurveyTDEM
class FieldsTDEM_e_from_b(FieldsTDEM):
@@ -94,8 +87,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
"""
:param numpy.array m: Conductivity model
:param numpy.array vec: vector (like a model)
:param FieldsTDEM u: Fields resulting from m
:rtype: FieldsTDEM
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m
:rtype: simpegEM.TDEM.FieldsTDEM
:return: f
Multiply G by a vector
@@ -132,9 +125,9 @@ class ProblemTDEM_b(BaseTDEMProblem):
"""
:param numpy.array m: Conductivity model
:param numpy.array vec: vector (like a fields)
:param FieldsTDEM u: Fields resulting from m
:rtype: numpy.ndarray
:return: p (like a model)
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m
:rtype: np.ndarray (like a model)
:return: p
Multiply G.T by a vector
"""
@@ -160,8 +153,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
def solveAh(self, m, p):
"""
:param numpy.array m: Conductivity model
:param FieldsTDEM p: Fields object
:rtype: FieldsTDEM
:param simpegEM.TDEM.FieldsTDEM p: Fields object
:rtype: simpegEM.TDEM.FieldsTDEM
:return: y
Solve the block-matrix system \\\(\\\hat{A} \\\hat{y} = \\\hat{p}\\\):
@@ -207,8 +200,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
def solveAht(self, m, p):
"""
:param numpy.array m: Conductivity model
:param FieldsTDEM p: Fields object
:rtype: FieldsTDEM
:param simpegEM.TDEM.FieldsTDEM p: Fields object
:rtype: simpegEM.TDEM.FieldsTDEM
:return: y
Solve the block-matrix system \\\(\\\hat{A}^\\\\top \\\hat{y} = \\\hat{p}\\\):
@@ -277,8 +270,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
def _AhVec(self, m, vec):
"""
:param numpy.array m: Conductivity model
:param FieldsTDEM vec: Fields object
:rtype: FieldsTDEM
:param simpegEM.TDEM.FieldsTDEM vec: Fields object
:rtype: simpegEM.TDEM.FieldsTDEM
:return: f
Multiply the matrix \\\(\\\hat{A}\\\) by a fields vector where
@@ -322,8 +315,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
def _AhtVec(self, m, vec):
"""
:param numpy.array m: Conductivity model
:param FieldsTDEM vec: Fields object
:rtype: FieldsTDEM
:param simpegEM.TDEM.FieldsTDEM vec: Fields object
:rtype: simpegEM.TDEM.FieldsTDEM
:return: f
Multiply the matrix \\\(\\\hat{A}\\\) by a fields vector where
+3 -9
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@@ -1,9 +1,3 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from .SurveyTDEM import * #SurveyTDEM, RxTDEM, SrcTDEM
from .BaseTDEM import BaseTDEMProblem, FieldsTDEM
from .TDEM_b import ProblemTDEM_b
from SurveyTDEM import * #SurveyTDEM, RxTDEM, SrcTDEM
from BaseTDEM import BaseTDEMProblem, FieldsTDEM
from TDEM_b import ProblemTDEM_b
+5 -12
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@@ -1,10 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import *
from scipy.special import ellipk, ellipe
from scipy.constants import mu_0, pi
@@ -24,7 +17,7 @@ def MagneticDipoleVectorPotential(srcLoc, obsLoc, component, moment=1., dipoleMo
#TODO: break this out!
if type(component) in [list, tuple]:
out = list(range(len(component)))
out = range(len(component))
for i, comp in enumerate(component):
out[i] = MagneticDipoleVectorPotential(srcLoc, obsLoc, comp, dipoleMoment=dipoleMoment)
return np.concatenate(out)
@@ -125,7 +118,7 @@ def MagneticLoopVectorPotential(srcLoc, obsLoc, component, radius, mu=mu_0):
"""
if type(component) in [list, tuple]:
out = list(range(len(component)))
out = range(len(component))
for i, comp in enumerate(component):
out[i] = MagneticLoopVectorPotential(srcLoc, obsLoc, comp, radius, mu)
return np.concatenate(out)
@@ -165,11 +158,11 @@ def MagneticLoopVectorPotential(srcLoc, obsLoc, component, radius, mu=mu_0):
# % 1/r singular at r = 0 and K(m) singular at m = 1
Aphi = np.zeros(n)
# % Common factor is (mu * I) / pi with I = 1 and mu = 4e-7 * pi.
Aphi[ind] = 4e-7 / np.sqrt(m[ind]) * np.sqrt(radius/ r[ind]) *((1. - m[ind] / 2.) * K[ind] - E[ind])
Aphi[ind] = 4e-7 / np.sqrt(m[ind]) * np.sqrt(radius / r[ind]) *((1. - m[ind] / 2.) * K[ind] - E[ind])
if component == 'x':
A[ind, i] = Aphi[ind] * (-y[ind] / r[ind])
A[ind, i] = Aphi[ind] * (-y[ind] / r[ind] )
elif component == 'y':
A[ind, i] = Aphi[ind] * (x[ind] / r[ind])
A[ind, i] = Aphi[ind] * ( x[ind] / r[ind] )
else:
raise ValueError('Invalid component')
+2 -8
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@@ -1,9 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
import numpy as np
from scipy.constants import mu_0, epsilon_0
@@ -15,8 +9,8 @@ def omega(freq):
def k(freq, sigma, mu=mu_0, eps=epsilon_0):
""" Eq 1.47 - 1.49 in Ward and Hohmann """
w = omega(freq)
alp = w * np.sqrt( mu*eps/2 * ( np.sqrt(1. + (sigma / (eps*w)))**2 ) + 1)
beta = w * np.sqrt( mu*eps/2 * ( np.sqrt(1. + (sigma / (eps*w)))**2 ) - 1)
alp = w * np.sqrt( mu*eps/2 * ( np.sqrt(1. + (sigma / (eps*w))**2 ) + 1) )
beta = w * np.sqrt( mu*eps/2 * ( np.sqrt(1. + (sigma / (eps*w))**2 ) - 1) )
return alp - 1j*beta
+2 -8
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@@ -1,8 +1,2 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from .EMUtils import omega, k
from .AnalyticUtils import MagneticDipoleFields, MagneticDipoleVectorPotential, MagneticLoopVectorPotential
from EMUtils import omega, k
from AnalyticUtils import MagneticDipoleFields, MagneticDipoleVectorPotential, MagneticLoopVectorPotential
+6 -13
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@@ -1,10 +1,3 @@
from __future__ import print_function
from __future__ import division
from __future__ import unicode_literals
from __future__ import absolute_import
from builtins import int
from future import standard_library
standard_library.install_aliases()
import unittest
from SimPEG import *
from SimPEG import EM
@@ -65,7 +58,7 @@ def getFDEMProblem(fdemType, comp, SrcList, freq, useMu=False, verbose=False):
Src.append(EM.FDEM.Src.RawVec([rx0], freq, mesh.getEdgeInnerProduct()*S_m, S_e))
if verbose:
print(' Fetching %s problem' % (fdemType))
print ' Fetching %s problem' % (fdemType)
if fdemType == 'e':
survey = EM.FDEM.Survey(Src)
@@ -90,7 +83,7 @@ def getFDEMProblem(fdemType, comp, SrcList, freq, useMu=False, verbose=False):
try:
from pymatsolver import MumpsSolver
prb.Solver = MumpsSolver
except ImportError as e:
except ImportError, e:
prb.Solver = SolverLU
return prb
@@ -101,7 +94,7 @@ def crossCheckTest(SrcList, fdemType1, fdemType2, comp, addrandoms = False, useM
prb1 = getFDEMProblem(fdemType1, comp, SrcList, freq, useMu, verbose)
mesh = prb1.mesh
print('Cross Checking Forward: %s, %s formulations - %s' % (fdemType1, fdemType2, comp))
print 'Cross Checking Forward: %s, %s formulations - %s' % (fdemType1, fdemType2, comp)
logsig = np.log(np.ones(mesh.nC)*CONDUCTIVITY)
mu = np.ones(mesh.nC)*MU
@@ -119,7 +112,7 @@ def crossCheckTest(SrcList, fdemType1, fdemType2, comp, addrandoms = False, useM
d1 = survey1.dpred(m)
if verbose:
print(' Problem 1 solved')
print ' Problem 1 solved'
prb2 = getFDEMProblem(fdemType2, comp, SrcList, freq, useMu, verbose)
@@ -128,11 +121,11 @@ def crossCheckTest(SrcList, fdemType1, fdemType2, comp, addrandoms = False, useM
d2 = survey2.dpred(m)
if verbose:
print(' Problem 2 solved')
print ' Problem 2 solved'
r = d2-d1
l2r = l2norm(r)
tol = np.max([TOL*(10**int(np.log10(0.5* (l2norm(d1) + l2norm(d2)) ))),FLR])
print(l2norm(d1), l2norm(d2), l2r , tol, l2r < tol)
print l2norm(d1), l2norm(d2), l2r , tol, l2r < tol
return l2r < tol
+6 -12
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@@ -1,13 +1,7 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from . import TDEM
from . import FDEM
from . import Static
from . import Base
from . import Analytics
from . import Utils
import TDEM
import FDEM
import Static
import Base
import Analytics
import Utils
from scipy.constants import mu_0, epsilon_0
+9 -15
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@@ -1,13 +1,7 @@
from __future__ import print_function
from __future__ import division
from __future__ import unicode_literals
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import *
import SimPEG.EM.Static.DC as DC
import SimPEG.DCIP as DC
def run(plotIt=True):
def run(plotIt=False):
cs = 25.
hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
@@ -27,15 +21,15 @@ def run(plotIt=True):
# ax.plot(xyz_rxP[:,0],xyz_rxP[:,1], 'w.')
# ax.plot(xyz_rxN[:,0],xyz_rxN[:,1], 'r.', ms = 3)
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)
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)
problem.pair(survey)
try:
from pymatsolver import MumpsSolver
problem.Solver = MumpsSolver
except Exception as e:
except Exception, e:
pass
data = survey.dpred(sigma)
@@ -67,8 +61,8 @@ def run(plotIt=True):
ax[0].set_title('Computed')
plt.show()
return np.linalg.norm(data-data_ana) / np.linalg.norm(data_ana)
return np.linalg.norm(data-data_ana)/np.linalg.norm(data_ana)
if __name__ == '__main__':
print(run())
print run(plotIt=True)
+6 -14
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@@ -1,11 +1,3 @@
from __future__ import print_function
from __future__ import division
from __future__ import unicode_literals
from __future__ import absolute_import
from builtins import int
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import Mesh, Utils, np, sp
import SimPEG.DCIP as DC
import time
@@ -65,7 +57,7 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
model[ind] = sig[2]
# Get index of the center
indy = int(mesh.nCy // 2)
indy = int(mesh.nCy/2)
# Plot the model for reference
# Define core mesh extent
@@ -132,10 +124,10 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
tx = np.squeeze(Tx[ii][:,0:1])
tinf = tx + np.array([dl_x,dl_y,0])*dl_len*2
inds = Utils.closestPoints(mesh, np.c_[tx,tinf].T)
RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*([-1] / mesh.vol[inds])
RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*( [-1] / mesh.vol[inds] )
else:
inds = Utils.closestPoints(mesh, np.asarray(Tx[ii]).T )
RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*([-1,1] / mesh.vol[inds])
RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*( [-1,1] / mesh.vol[inds] )
# Iterative Solve
Ainvb = sp.linalg.bicgstab(P*A,P*RHS, tol=1e-5)
@@ -151,10 +143,10 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
dtemp = (P1*phi - P2*phi)*np.pi
data.append( dtemp )
print('\rTransmitter {0} of {1} -> Time:{2} sec'.format(ii,len(Tx),time.time()- start_time), end=' ')
print '\rTransmitter {0} of {1} -> Time:{2} sec'.format(ii,len(Tx),time.time()- start_time),
print('Transmitter {0} of {1}'.format(ii,len(Tx)))
print('Forward completed')
print 'Transmitter {0} of {1}'.format(ii,len(Tx))
print 'Forward completed'
# Let's just convert the 3D format into 2D (distance along line) and plot
survey2D = DC.convertObs_DC3D_to_2D(survey, np.ones(survey.nSrc) , 'Xloc')
+1 -7
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@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import *
import SimPEG.EM as EM
from SimPEG.EM import mu_0
@@ -62,7 +56,7 @@ def run(plotIt=True):
try:
from pymatsolver import MumpsSolver
prb.Solver = MumpsSolver
except ImportError as e:
except ImportError, e:
prb.Solver = SolverLU
prb.pair(survey)
@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import *
import SimPEG.EM as EM
+16 -26
View File
@@ -1,10 +1,3 @@
from __future__ import print_function
from __future__ import division
from __future__ import unicode_literals
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import *
from SimPEG.EM import FDEM, Analytics, mu_0
import time
@@ -26,13 +19,10 @@ def run(plotIt=True):
Morrison Casing Model, and the results are used in a 2016 SEG abstract by
Yang et al.
.. 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.
- 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
@@ -74,8 +64,8 @@ def run(plotIt=True):
casing_l = 300 # length of the casing
casing_r = 0.1
casing_a = casing_r - casing_t / 2. # inner radius
casing_b = casing_r + casing_t / 2. # outer radius
casing_a = casing_r - casing_t/2. # inner radius
casing_b = casing_r + casing_t/2. # outer radius
casing_z = np.r_[-casing_l,0.]
@@ -85,25 +75,25 @@ def run(plotIt=True):
src_loc = np.r_[0.,0.,dsz]
inf_loc = np.r_[0.,0.,1e4]
print('Skin Depth: ', [(500. / np.sqrt(sigmaback*_)) for _ in freqs])
print 'Skin Depth: ', [(500./np.sqrt(sigmaback*_)) for _ in freqs]
# ------------------ MESH ------------------
# fine cells near well bore
csx1, csx2 = 2e-3, 60.
pfx1, pfx2 = 1.3, 1.3
ncx1 = np.ceil(casing_b/csx1)+2
ncx1 = np.ceil(casing_b/csx1+2)
# pad nicely to second cell size
npadx1 = np.log(csx2/csx1) // np.log(pfx1)
npadx1 = np.floor(np.log(csx2/csx1) / np.log(pfx1))
hx1a,hx1b = Utils.meshTensor([(csx1,ncx1)]),Utils.meshTensor([(csx1,npadx1,pfx1)])
dx1 = sum(hx1a)+sum(hx1b)
dx1 = dx1 // csx2
hx1b *= (dx1*csx2 - sum(hx1a)) / sum(hx1b)
dx1 = np.floor(dx1/csx2)
hx1b *= (dx1*csx2 - sum(hx1a))/sum(hx1b)
# second chunk of mesh
dx2 = 300. # uniform mesh out to here
ncx2 = np.ceil((dx2 - dx1) / csx2)
ncx2 = np.ceil((dx2 - dx1)/csx2)
npadx2 = 45
hx2a, hx2b = Utils.meshTensor([(csx2,ncx2)]), Utils.meshTensor([(csx2,npadx2,pfx2)])
hx = np.hstack([hx1a,hx1b,hx2a,hx2b])
@@ -117,8 +107,8 @@ def run(plotIt=True):
# Mesh
mesh = Mesh.CylMesh([hx,1.,hz], [0.,0.,-np.sum(hz[:npadzu+ncz-nza])])
print('Mesh Extent xmax: %f,: zmin: %f, zmax: %f'%(mesh.vectorCCx.max(), mesh.vectorCCz.min(), mesh.vectorCCz.max()))
print('Number of cells', mesh.nC)
print 'Mesh Extent xmax: %f,: zmin: %f, zmax: %f'%(mesh.vectorCCx.max(), mesh.vectorCCz.min(), mesh.vectorCCz.max())
print 'Number of cells', mesh.nC
if plotIt is True:
fig, ax = plt.subplots(1, 1, figsize=(6, 4))
@@ -225,13 +215,13 @@ 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, Solver=solver)
problem = FDEM.Problem3D_h(mesh, mapping=mapping)
problem.pair(survey)
# ------------- Solve ---------------------------
t0 = time.time()
fieldsCasing = problem.fields(sigCasing)
print('Time to solve 2 sources', time.time() - t0)
print 'Time to solve 2 sources', time.time() - t0
# Plot current
@@ -258,9 +248,9 @@ def run(plotIt=True):
in1_in = in1[np.r_[inds]]
z_in = mesh.gridFz[inds_fz,2]
in0_in = in0_in.reshape([in0_in.shape[0]//3,3])
in1_in = in1_in.reshape([in1_in.shape[0]//3,3])
z_in = z_in.reshape([z_in.shape[0]//3,3])
in0_in = in0_in.reshape([in0_in.shape[0]/3,3])
in1_in = in1_in.reshape([in1_in.shape[0]/3,3])
z_in = z_in.reshape([z_in.shape[0]/3,3])
I0 = in0_in.sum(1).real
I1 = in1_in.sum(1).real
-6
View File
@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import *
import SimPEG.EM as EM
from SimPEG.EM import mu_0
@@ -1,9 +1,3 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import *
from SimPEG.FLOW import Richards
+31 -17
View File
@@ -1,11 +1,3 @@
from __future__ import print_function
from __future__ import division
from __future__ import unicode_literals
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import str
from builtins import range
from SimPEG import *
@@ -50,40 +42,62 @@ 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))
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()
# 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)
IRLS = Directives.Update_IRLS( norms=norms, eps_p=eps_p, eps_q=eps_q)
inv = Inversion.BaseInversion(invProb, directiveList=[IRLS,betaest,update_Jacobi])
# Run inversion
mrec = inv.run(m0)
print("Final misfit:" + str(invProb.dmisfit.eval(mrec)))
print "Final misfit:" + str(invProb.dmisfit.eval(mrec))
if plotIt:
-7
View File
@@ -1,10 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import *
+30 -30
View File
@@ -1,19 +1,15 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
import SimPEG as simpeg
import numpy as np
import SimPEG.MT as MT
from SimPEG import NSEM
from scipy.constants import mu_0
import matplotlib.pyplot as plt
np.random.seed(1983)
def run(plotIt=True):
"""
MT: 1D: Inversion
=================
=======================
Forward model 1D MT data.
Setup and run a MT 1D inversion.
@@ -23,13 +19,13 @@ def run(plotIt=True):
## Setup the forward modeling
# Setting up 1D mesh and conductivity models to forward model data.
# Frequency
nFreq = 31
freqs = np.logspace(3,-3,nFreq)
nFreq = 26
freqs = np.logspace(2,-3,nFreq)
# Set mesh parameters
ct = 20
air = simpeg.Utils.meshTensor([(ct,16,1.4)])
ct = 10
air = simpeg.Utils.meshTensor([(ct,25,1.4)])
core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,10,-1.3)]),np.ones((5,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )
bot = simpeg.Utils.meshTensor([(core[0],10,-1.4)])
bot = simpeg.Utils.meshTensor([(core[0],25,-1.4)])
x0 = -np.array([np.sum(np.concatenate((core,bot)))])
# Make the model
m1d = simpeg.Mesh.TensorMesh([np.concatenate((bot,core,air))], x0=x0)
@@ -39,7 +35,7 @@ def run(plotIt=True):
layer1 = (m1d.vectorCCx<-500.) & (m1d.vectorCCx>=-800.)
layer2 = (m1d.vectorCCx<-3500.) & (m1d.vectorCCx>=-5000.)
# Set the conductivity values
sig_half = 2e-3
sig_half = 1e-2
sig_air = 1e-8
sig_layer1 = .2
sig_layer2 = .2
@@ -63,31 +59,31 @@ def run(plotIt=True):
# Receivers
rxList = []
for rxType in ['z1dr','z1di']:
rxList.append(MT.Rx(simpeg.mkvc(np.array([0.0]),2).T,rxType))
rxList.append(NSEM.Rx(simpeg.mkvc(np.array([-0.5]),2).T,rxType))
# Source list
srcList =[]
for freq in freqs:
srcList.append(MT.SrcMT.polxy_1Dprimary(rxList,freq))
srcList.append(NSEM.SrcNSEM.polxy_1Dprimary(rxList,freq))
# Make the survey
survey = MT.Survey(srcList)
survey = NSEM.Survey(srcList)
survey.mtrue = m_true
## Set the problem
problem = MT.Problem1D.eForm_psField(m1d,sigmaPrimary=sigma_0,mapping=mappingExpAct)
problem = NSEM.Problem1D_ePrimSec(m1d,sigmaPrimary=sigma_0,mapping=mappingExpAct)
problem.pair(survey)
## Forward model data
# Project the data
survey.dtrue = survey.dpred(m_true)
survey.dobs = survey.dtrue + 0.025*abs(survey.dtrue)*np.random.randn(*survey.dtrue.shape)
survey.dobs = survey.dtrue + 0.01*abs(survey.dtrue)*np.random.randn(*survey.dtrue.shape)
if plotIt:
fig = MT.Utils.dataUtils.plotMT1DModelData(problem, [m_0])
fig = NSEM.Utils.dataUtils.plotMT1DModelData(problem,[])
fig.suptitle('Target - smooth true')
# Assign uncertainties
std = 0.05 # 5% std
std = 0.025 # 5% std
survey.std = np.abs(survey.dobs*std)
# Assign the data weight
Wd = 1./survey.std
@@ -96,30 +92,33 @@ def run(plotIt=True):
# Define a counter
C = simpeg.Utils.Counter()
# Set the optimization
opt = simpeg.Optimization.InexactGaussNewton(maxIter = 30)
opt = simpeg.Optimization.ProjectedGNCG(maxIter = 25)
opt.counter = C
opt.LSshorten = 0.5
opt.lower = np.log(1e-4)
opt.upper = np.log(5)
opt.LSshorten = 0.1
opt.remember('xc')
# Data misfit
dmis = simpeg.DataMisfit.l2_DataMisfit(survey)
dmis.Wd = Wd
# Regularization - with a regularization mesh
regMesh = simpeg.Mesh.TensorMesh([m1d.hx[problem.mapping.sigmaMap.maps[-1].indActive]],m1d.x0)
regMesh = simpeg.Mesh.TensorMesh([m1d.hx[active]],m1d.x0)
reg = simpeg.Regularization.Tikhonov(regMesh)
reg.mrefInSmooth = True
reg.alpha_s = 1e-7
reg.alpha_s = 1e-1
reg.alpha_x = 1.
# Inversion problem
invProb = simpeg.InvProblem.BaseInvProblem(dmis, reg, opt)
invProb.counter = C
# Beta cooling
beta = simpeg.Directives.BetaSchedule()
beta.coolingRate = 4
betaest = simpeg.Directives.BetaEstimate_ByEig(beta0_ratio=0.75)
beta.coolingRate = 4.
beta.coolingFactor = 4.
betaest = simpeg.Directives.BetaEstimate_ByEig(beta0_ratio=1.)
betaest.beta0 = 1.
targmis = simpeg.Directives.TargetMisfit()
targmis.target = survey.nD
saveModel = simpeg.Directives.SaveModelEveryIteration()
saveModel.fileName = 'Inversion_TargMisEqnD_smoothTrue'
# Create an inversion object
inv = simpeg.Inversion.BaseInversion(invProb, directiveList=[beta,betaest,targmis])
@@ -127,8 +126,9 @@ def run(plotIt=True):
mopt = inv.run(m_0)
if plotIt:
fig = MT.Utils.dataUtils.plotMT1DModelData(problem,[mopt])
fig = NSEM.Utils.dataUtils.plotMT1DModelData(problem,[mopt])
fig.suptitle('Target - smooth true')
fig.axes[0].set_ylim([-10000,500])
plt.show()
if __name__ == '__main__':
@@ -0,0 +1,428 @@
from scipy.constants import epsilon_0, mu_0
import matplotlib.pyplot as plt
import numpy as np
from ipywidgets import *
from SimPEG.EM.Utils import k, omega
"""
MT1D: n layered earth problem
*****************************
Author: Thibaut Astic
Contact: thast@eos.ubc.ca
Date: January 2016
This code compute the analytic response of a n-layered Earth to a plane wave (Magneto-Tellurics).
We start by looking at Maxwell's equations in the electric
field \\\(\\\mathbf{E}\\) and the magnetic flux
\\\(\\\mathbf{H}\\) to write the wave equations
\\(\\ \nabla ^2 \mathbf{E_x} + k^2 \mathbf{E_x} = 0 \\) &
\\(\\ \nabla ^2 \mathbf{H_y} + k^2 \mathbf{H_y} = 0 \\)
Then solving the equations in each layer "j" between z_{j-1} and z_j in the form of
\\(\\ E_{x,j} (z) = U_j e^{i k (z-z_{j-1})} + D_j e^{-i k (z-z_{j-1})} \\)
\\(\\ H_{y,j} (z) = \frac{1}{Z_j} (D_j e^{-i k (z-z_{j-1})} - U_j e^{i k (z-z_{j-1})}) \\)
With U and D the Up and Down components of the E-field.
The iteration from one layer to another is ensure by:
\\(\\ \left(\begin{matrix} E_{x,j} \\ H_{y,j} \end{matrix} \right) =
P_j T_j P^{-1}_J \left(\begin{matrix} E_{x,j+1} \\ H_{y,j+1} \end{matrix} \right) \\)
And the Boundary Condition is set for the E-field in the last layer, with no Up component (=0)
and only a down component (=1 then normalized by the highest amplitude to ensure numeric stability)
The layer 0 is assumed to be the air layer.
"""
#Define a frquency range for a survey
frange = lambda minfreq, maxfreq, step: np.logspace(minfreq,maxfreq,num = step, base = 10.)
#Functions to create random physical Perties for a n-layered earth
thick = lambda minthick, maxthick, nlayer: np.append(np.array([1.2*10.**5]),
np.ndarray.round(minthick + (maxthick-minthick)* np.random.rand(nlayer-1,1)
,decimals =1))
sig = lambda minsig, maxsig, nlayer: np.append(np.array([0.]),
np.ndarray.round(10.**minsig + (10.**maxsig-10.**minsig)* np.random.rand(nlayer,1)
,decimals=3))
mu = lambda minmu, maxmu, nlayer: np.append(np.array([1.]),
np.ndarray.round(minmu + (maxmu-minmu)* np.random.rand(nlayer,1)
,decimals=1))
eps = lambda mineps, maxeps, nlayer: np.append(np.array([1.]),
np.ndarray.round(mineps + (maxeps-mineps)* np.random.rand(nlayer,1)
,decimals=1))
#Evaluate Impedance Z of a layer
ImpZ = lambda f, mu, k: omega(f)*mu*mu_0/k
#Complex Cole-Cole Conductivity - EM utils
PCC= lambda siginf,m,t,c,f: siginf*(1.-(m/(1.+(1j*omega(f)*t)**c)))
#Converted thickness array into top of layer array
top = lambda thick: np.cumsum(thick)
#Propagation Matrix and theirs inverses
#matrix T for transition of Up and Down components accross a layer
T = lambda h,k: np.matrix([[np.exp(1j*k*h),0.],[0.,np.exp(-1j*k*h)]],dtype='complex_')
Tinv = lambda h,k: np.matrix([[np.exp(-1j*k*h),0.],[0.,np.exp(1j*k*h)]],dtype='complex_')
#transition of Up and Down components accross a layer
UD_Z = lambda UD,z,zj,k : T((z-zj),k)*UD
#matrix P relating Up and Down components with E and H fields
P = lambda z: np.matrix([[1.,1,],[-1./z,1./z]],dtype='complex_')
Pinv = lambda z: np.matrix([[1.,-z],[1.,z]],dtype='complex_')/2.
#Time Variation of E and H
E_ZT = lambda U,D,f,t : np.exp(1j*omega(f)*t)*(U+D)
H_ZT = lambda U,D,Z,f,t : (1./Z)*np.exp(1j*omega(f)*t)*(D-U)
#Plot the configuration of the problem
def PlotConfiguration(thick,sig,eps,mu,ax,widthg,z):
topn = top(thick)
widthn = np.arange(-widthg,widthg+widthg/10.,widthg/10.)
ax.set_ylim([z.min(),z.max()])
ax.set_xlim([-widthg,widthg])
ax.set_ylabel("Depth (m)", fontsize=16.)
ax.yaxis.tick_right()
ax.yaxis.set_label_position("right")
#define filling for the different layers
hatches=['/' , '+', 'x', '|' , '\\', '-' , 'o' , 'O' , '.' , '*' ]
#Write the physical properties of air
ax.annotate(("Air, $\sigma$ =%1.0f mS/m")%(sig[0]*10**(3)),
xy=(-widthg/2., -np.abs(z.max())/2.), xycoords='data',
xytext=(-widthg/2., -np.abs(z.max())/2.), textcoords='data',
fontsize=14.)
ax.annotate(("$\epsilon_r$= %1i")%(eps[0]),
xy=(-widthg/2., -np.abs(z.max())/3.), xycoords='data',
xytext=(-widthg/2., -np.abs(z.max())/3.), textcoords='data',
fontsize=14.)
ax.annotate(("$\mu_r$= %1i")%(mu[0]),
xy=(-widthg/2., -np.abs(z.max())/3.), xycoords='data',
xytext=(0, -np.abs(z.max())/3.), textcoords='data',
fontsize=14.)
#Write the physical properties of the differents layers up to the (n-1)-th and fill it with pattern
for i in range(1,len(topn)-1,1):
if topn[i] == topn[i+1]:
pass
else:
ax.annotate(("$\sigma$ =%3.3f mS/m")%(sig[i]*10**(3)),
xy=(0., (2.*topn[i]+topn[i+1])/3), xycoords='data',
xytext=(0., (2.*topn[i]+topn[i+1])/3), textcoords='data',
fontsize=14.)
ax.annotate(("$\epsilon_r$= %1i")%(eps[i]),
xy=(-widthg/1.1, (2.*topn[i]+topn[i+1])/3), xycoords='data',
xytext=(-widthg/1.1, (2.*topn[i]+topn[i+1])/3), textcoords='data',
fontsize=14.)
ax.annotate(("$\mu_r$= %1.2f")%(mu[i]),
xy=(-widthg/2., (2.*topn[i]+topn[i+1])/3), xycoords='data',
xytext=(-widthg/2., (2.*topn[i]+topn[i+1])/3), textcoords='data',
fontsize=14.)
ax.plot(widthn,topn[i]*np.ones_like(widthn),color='black')
ax.fill_between(widthn,topn[i],topn[i+1],alpha=0.3,color="none",edgecolor='black', hatch=hatches[(i-1)%10])
#Write the physical properties of the n-th layer and fill it with pattern
ax.plot(widthn,topn[-1]*np.ones_like(widthn),color='black')
ax.fill_between(widthn,topn[-1],z.max(),alpha=0.3,color="none",edgecolor='black', hatch=hatches[(len(topn)-2)%10])
ax.annotate(("$\sigma$ =%3.3f mS/m")%(sig[-1]*10**(3)),
xy=(0., (2.*topn[-1]+z.max())/3), xycoords='data',
xytext=(0., (2.*topn[-1]+z.max())/3), textcoords='data',
fontsize=14.)
ax.annotate(("$\epsilon_r$= %1i")%(eps[-1]),
xy=(-widthg/1.1, (2.*topn[-1]+z.max())/3), xycoords='data',
xytext=(-widthg/1.1, (2.*topn[-1]+z.max())/3), textcoords='data',
fontsize=14.)
ax.annotate(("$\mu_r$= %1.2f")%(mu[-1]),
xy=(-widthg/2., (2.*topn[-1]+z.max())/3), xycoords='data',
xytext=(-widthg/2., (2.*topn[-1]+z.max())/3), textcoords='data',
fontsize=14.)
#plot Trees!
ax.annotate("",
xy=(widthg/2., -1.*z.max()/5.), xycoords='data',
xytext=(widthg/2., 0.), textcoords='data',
arrowprops=dict(arrowstyle='->, head_width=1.2,head_length=1.2',color='green',linewidth=2.)
)
ax.annotate("",
xy=(widthg/2., -3./4.*z.max()/5.), xycoords='data',
xytext=(widthg/2., 0.), textcoords='data',
arrowprops=dict(arrowstyle='->, head_width=1.4,head_length=1.4',color='green',linewidth=2.)
)
ax.annotate("",
xy=(widthg/2., -1./2.*z.max()/5.), xycoords='data',
xytext=(widthg/2., 0.), textcoords='data',
arrowprops=dict(arrowstyle='->, head_width=1.6,head_length=1.6',color='green',linewidth=2.)
)
ax.annotate("",
xy=(1.2*widthg/2., -1.*z.max()/5.), xycoords='data',
xytext=(1.2*widthg/2., 0.), textcoords='data',
arrowprops=dict(arrowstyle='->, head_width=1.2,head_length=1.2',color='green',linewidth=2.)
)
ax.annotate("",
xy=(1.2*widthg/2., -3./4.*z.max()/5.), xycoords='data',
xytext=(1.2*widthg/2., 0.), textcoords='data',
arrowprops=dict(arrowstyle='->, head_width=1.4,head_length=1.4',color='green',linewidth=2.)
)
ax.annotate("",
xy=(1.2*widthg/2., -1./2.*z.max()/5.), xycoords='data',
xytext=(1.2*widthg/2., 0.), textcoords='data',
arrowprops=dict(arrowstyle='->, head_width=1.6,head_length=1.6',color='green',linewidth=2.)
)
ax.annotate("",
xy=(1.5*widthg/2., -1.*z.max()/5.), xycoords='data',
xytext=(1.5*widthg/2., 0.), textcoords='data',
arrowprops=dict(arrowstyle='->, head_width=1.2,head_length=1.2',color='green',linewidth=2.)
)
ax.annotate("",
xy=(1.5*widthg/2., -3./4.*z.max()/5.), xycoords='data',
xytext=(1.5*widthg/2., 0.), textcoords='data',
arrowprops=dict(arrowstyle='->, head_width=1.4,head_length=1.4',color='green',linewidth=2.)
)
ax.annotate("",
xy=(1.5*widthg/2., -1./2.*z.max()/5.), xycoords='data',
xytext=(1.5*widthg/2., 0.), textcoords='data',
arrowprops=dict(arrowstyle='->, head_width=1.6,head_length=1.6',color='green',linewidth=2.)
)
ax.invert_yaxis()
return ax
#Propagate Up and Down component for a certain frequency & evaluate E and H field
def Propagate(f,H,sig,chg,taux,c,mu,eps,n):
sigcm = np.zeros_like(sig,dtype='complex_')
for j in range(1,len(sig)):
sigcm[j]=PCC(sig[j],chg[j],taux[j],c[j],f)
K = k(f, sigcm, mu, eps)
Z = ImpZ(f,mu,K)
EH = np.matrix(np.zeros((2,n+1),dtype = 'complex_'),dtype = 'complex_')
UD = np.matrix(np.zeros((2,n+1),dtype = 'complex_'),dtype = 'complex_')
UD[1,-1] = 1.
for i in range(-2,-(n+2),-1):
UD[:,i] = Tinv(H[i+1],K[i])*Pinv(Z[i])*P(Z[i+1])*UD[:,i+1]
UD = UD/((np.abs(UD[0,:]+UD[1,:])).max())
for j in range(0,n+1):
EH[:,j] = np.matrix([[1.,1,],[-1./Z[j],1./Z[j]]])*UD[:,j]
return UD, EH, Z ,K
#Evaluate the apparent resistivity and phase for a frequency range
def appres(F,H,sig,chg,taux,c,mu,eps,n):
Res = np.zeros_like(F)
Phase = np.zeros_like(F)
App_ImpZ= np.zeros_like(F,dtype='complex_')
for i in range(0,len(F)):
UD,EH,Z ,K = Propagate(F[i],H,sig,chg,taux,c,mu,eps,n)
App_ImpZ[i] = EH[0,1]/EH[1,1]
Res[i] = np.abs(App_ImpZ[i])**2./(mu_0*omega(F[i]))
Phase[i] = np.angle(App_ImpZ[i], deg = True)
return Res,Phase
#Evaluate Up, Down components, E and H field, for a frequency range,
#a discretized depth range and a time range (use to calculate envelope)
def calculateEHzt(F,H,sig,chg,taux,c,mu,eps,n,zsample,tsample):
topc = top(H)
layer = np.zeros(len(zsample),dtype=np.int)-1
Exzt = np.matrix(np.zeros((len(zsample),len(tsample)),dtype = 'complex_'),dtype = 'complex_')
Hyzt = np.matrix(np.zeros((len(zsample),len(tsample)),dtype = 'complex_'),dtype = 'complex_')
Uz = np.matrix(np.zeros((len(zsample),len(tsample)),dtype = 'complex_'),dtype = 'complex_')
Dz = np.matrix(np.zeros((len(zsample),len(tsample)),dtype = 'complex_'),dtype = 'complex_')
UDaux = np.matrix(np.zeros((2,len(zsample)),dtype = 'complex_'),dtype = 'complex_')
for i in range(0,n+1,1):
layer = layer+(zsample>=topc[i])*1
for j in range(0,len(F)):
UD,EH,Z ,K = Propagate(F[j],H,sig,chg,taux,c,mu,eps,n)
for p in range(0,len(zsample)):
UDaux[:,p] = UD_Z(UD[:,layer[p]],zsample[p],topc[layer[p]],K[layer[p]])
for q in range(0,len(tsample)):
Exzt[p,q] = Exzt[p,q] + E_ZT(UDaux[0,p],UDaux[1,p],F[j],tsample[q])/len(F)
Hyzt[p,q] = Hyzt[p,q] + H_ZT(UDaux[0,p],UDaux[1,p],Z[layer[p]],F[j],tsample[q])/len(F)
Uz[p,q] = Uz[p,q] + UDaux[0,p]*np.exp(1j*omega(F[j])*tsample[q])/len(F)
Dz[p,q] = Dz[p,q] + UDaux[1,p]*np.exp(1j*omega(F[j])*tsample[q])/len(F)
return Exzt,Hyzt,Uz,Dz,UDaux,layer
#Function to Plot Apparent Resistivity and Phase
def PlotAppRes(F,H,sig,chg,taux,c,mu,eps,n,fenvelope,PlotEnvelope):
Res, Phase = appres(F,H,sig,chg,taux,c,mu,eps,n)
fig,ax = plt.subplots(1,2,figsize=(16,10))
ax[0].scatter(Res,F,color='black')
ax[0].set_xscale('Log')
ax[0].set_yscale('Log')
ax[0].set_xlim([10.**(np.log10(Res.min())-1.),10.**(np.log10(Res.max())+1.)])
ax[0].set_ylim([F.min(),F.max()])
ax[0].set_xlabel('Apparent Resistivity (Ohm*m)',fontsize=16.,color="black")
ax[0].set_ylabel('Frequency (Hz)',fontsize=16.)
ax[0].grid(which='major')
ax0 = ax[0].twiny()
ax0.set_xlim([0.,90.])
ax0.set_ylim([F.min(),F.max()])
ax0.scatter(Phase,F,color='purple')
ax0.set_xlabel('Phase (Degrees)',fontsize=16.,color="purple")
zc=np.arange(-(H[1:].max()+10)*n,(H[1:].max()+10)*n,10.)
ax[0].tick_params(labelsize=16)
ax[1].tick_params(labelsize=16)
ax0.tick_params(labelsize=16)
if PlotEnvelope:
widthn=np.logspace(np.log10(Res.min())-1., np.log10(Res.max())+1., num=100, endpoint=True, base=10.0)
fenvelope1n=np.ones(100)*fenvelope
ax[0].plot(widthn,fenvelope1n,linestyle='dashed',color='black')
tc=np.arange(0.,1./fenvelope,0.01/(fenvelope))
Exzt,Hyzt,Uz,Dz,UDaux,layer = calculateEHzt(np.array([fenvelope]),H,sig,chg,taux,c,mu,eps,n,zc,tc)
ax1=ax[1].twiny()
ax[1].tick_params(labelsize=16)
ax1.tick_params(labelsize=16)
ax[1].set_xlabel('Amplitude Electric Field E (V/m)',color='blue',fontsize=16)
ax1.set_xlabel('Amplitude Magnetic Field H (A/m)',color='red',fontsize=16)
ax[1].fill_betweenx(zc,np.squeeze(np.asarray(np.real(Exzt.min(axis=1)))),
np.squeeze(np.asarray(np.real(Exzt.max(axis=1)))),
color='blue', alpha=0.1)
ax1.fill_betweenx(zc,np.squeeze(np.asarray(np.real(Hyzt.min(axis=1)))),
np.squeeze(np.asarray(np.real(Hyzt.max(axis=1)))),
color='red', alpha=0.1)
ax[1] = PlotConfiguration(H,sig,eps,mu,ax[1],(1.5*np.abs(Exzt).max()),zc)
ax1.set_xlim([-1.5*np.abs(Hyzt).max(),1.5*np.abs(Hyzt).max()])
ax1.set_xlim([-1.5*np.abs(Hyzt).max(),1.5*np.abs(Hyzt).max()])
else:
print 'No envelop (if True, might be slow)'
ax[1] = PlotConfiguration(H,sig,eps,mu,ax[1],1.,zc)
ax[1].get_xaxis().set_ticks([])
plt.show()
#Interactive MT for Notebook
def PlotAppRes3LayersInteract(h1,h2,sigl1,sigl2,sigl3,mul1,mul2,mul3,epsl1,epsl2,epsl3,PlotEnvelope,F_Envelope):
frangn=frange(-5,5,100.)
sig3= np.array([0.,0.001,0.1, 0.001])
thick3 = np.array([120000.,50.,50.])
eps3=np.array([1.,1.,1.,1])
mu3=np.array([1.,1.,1.,1])
chg3=np.array([0.,0.1,0.,0.2])
chg3_0=np.array([0.,0.1,0.,0.])
taux3=np.array([0.,0.1,0.,0.1])
c3=np.array([1.,1.,1.,1.])
sig3[1]=sigl1
sig3[1]=10.**sig3[1]
sig3[2]=sigl2
sig3[2]=10.**sig3[2]
sig3[3]=sigl3
sig3[3]=10.**sig3[3]
mu3[1]=mul1
mu3[2]=mul2
mu3[3]=mul3
eps3[1]=epsl1
eps3[2]=epsl2
eps3[3]=epsl3
thick3[1]=h1
thick3[2]=h2
PlotAppRes(frangn,thick3,sig3,chg3_0,taux3,c3,mu3,eps3,3,F_Envelope,PlotEnvelope)
def run(n=3,plotIt=True):
# something to make a plot
F = frange(-5.,5.,20)
H = thick(50.,100.,n)
sign = sig(-5.,0.,n)
mun = mu(1.,2.,n)
epsn = eps(1.,9.,n)
chg = np.zeros_like(sign)
taux = np.zeros_like(sign)
c = np.zeros_like(sign)
Res, Phase = appres(F,H,sign,chg,taux,c,mun,epsn,n)
if plotIt:
PlotAppRes(F, H, sign, chg, taux, c, mun, epsn, n, fenvelope=1000., PlotEnvelope=True)
return Res, Phase
if __name__ == '__main__':
run()
+8 -13
View File
@@ -1,14 +1,8 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
# Test script to use SimPEG.MT platform to forward model synthetic data.
# Import
import SimPEG as simpeg
from SimPEG import MT
from SimPEG import NSEM
import numpy as np
try:
from pymatsolver import MumpsSolver as Solver
@@ -18,7 +12,7 @@ except:
def run(plotIt=True, nFreq=1):
"""
MT: 3D: Forward
===============
=======================
Forward model 3D MT data.
@@ -43,24 +37,25 @@ def run(plotIt=True, nFreq=1):
for loc in rx_loc:
# NOTE: loc has to be a (1,3) np.ndarray otherwise errors accure
for rxType in ['zxxr','zxxi','zxyr','zxyi','zyxr','zyxi','zyyr','zyyi','tzxr','tzxi','tzyr','tzyi']:
rxList.append(MT.Rx(simpeg.mkvc(loc,2).T,rxType))
rxList.append(NSEM.Rx(simpeg.mkvc(loc,2).T,rxType))
# Source list
srcList =[]
for freq in np.logspace(3,-3,nFreq):
srcList.append(MT.SrcMT.polxy_1Dprimary(rxList,freq))
srcList.append(NSEM.SrcNSEM.polxy_1Dprimary(rxList,freq))
# Survey MT
survey = MT.Survey(srcList)
survey = NSEM.Survey(srcList)
## Setup the problem object
problem = MT.Problem3D.eForm_ps(M, sigmaPrimary=sigBG, Solver=Solver)
problem = NSEM.Problem3D_ePrimSec(M, sigmaPrimary=sigBG)
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 = NSEM.Data(survey,dataVec)
# Add plots
if plotIt:
pass
-69
View File
@@ -1,69 +0,0 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from builtins import dict
from future import standard_library
standard_library.install_aliases()
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()
-47
View File
@@ -1,47 +0,0 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
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()
-6
View File
@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import Mesh, Utils, np, SolverLU
def run(plotIt=True):
-6
View File
@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import *
def run(plotIt=True):
-6
View File
@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import *
def run(plotIt=True):
@@ -1,11 +1,3 @@
from __future__ import print_function
from __future__ import unicode_literals
from __future__ import division
from __future__ import absolute_import
from builtins import int
from future import standard_library
standard_library.install_aliases()
from builtins import zip
from SimPEG import *
def run(plotIt=True, n=60):
@@ -95,7 +87,7 @@ def run(plotIt=True, n=60):
if elapsed > capture[jj]:
PHIS += [(elapsed, phi.copy())]
jj += 1
if ii % 10 == 0: print(ii, elapsed)
if ii % 10 == 0: print ii, elapsed
ii += 1
if plotIt:
@@ -1,10 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import *
def run(plotIt=True):
+3 -11
View File
@@ -1,11 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import zip
from builtins import range
from SimPEG import *
def run(plotIt=True, n=60):
@@ -36,15 +28,15 @@ def run(plotIt=True, n=60):
axes[0].set_xlim([-1,17])
axes[0].set_ylim([-1,17])
for ii, loc in zip(list(range(M.nC)),M.gridCC):
for ii, loc in zip(range(M.nC),M.gridCC):
axes[0].text(loc[0]+0.2,loc[1],'%d'%ii, color='r')
axes[0].plot(M.gridFx[:,0],M.gridFx[:,1], 'g>')
for ii, loc in zip(list(range(M.nFx)),M.gridFx):
for ii, loc in zip(range(M.nFx),M.gridFx):
axes[0].text(loc[0]+0.2,loc[1],'%d'%ii, color='g')
axes[0].plot(M.gridFy[:,0],M.gridFy[:,1], 'm^')
for ii, loc in zip(list(range(M.nFy)),M.gridFy):
for ii, loc in zip(range(M.nFy),M.gridFy):
axes[0].text(loc[0]+0.2,loc[1]+0.2,'%d'%(ii+M.nFx), color='m')
axes[1].spy(M.faceDiv)
@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import *
def run(plotIt=True):
-6
View File
@@ -1,9 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import *
def run(plotIt=True):
+7 -15
View File
@@ -1,19 +1,9 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import *
from SimPEG.Utils import surface2ind_topo
def run(plotIt=True, nx=5, ny=5):
def run(plotIt=False, nx = 5, ny = 5):
"""
Utils: surface2ind_topo
=======================
Here we show how to use :code:`Utils.surface2ind_topo` to identify cells below
a topographic surface.
@@ -23,25 +13,27 @@ def run(plotIt=True, 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()
+26 -34
View File
@@ -1,37 +1,29 @@
from __future__ import print_function
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import division
from builtins import open
from future import standard_library
standard_library.install_aliases()
# Run this file to add imports.
##### AUTOIMPORTS #####
from . import DC_Analytic_Dipole
from . import DC_Forward_PseudoSection
from . import EM_FDEM_1D_Inversion
from . import EM_FDEM_Analytic_MagDipoleWholespace
from . import EM_Schenkel_Morrison_Casing
from . import EM_TDEM_1D_Inversion
from . import FLOW_Richards_1D_Celia1990
from . import Inversion_IRLS
from . import Inversion_Linear
from . import Maps_ComboMaps
from . import Maps_Mesh2Mesh
from . import Mesh_Basic_ForwardDC
from . import Mesh_Basic_PlotImage
from . import Mesh_Basic_Types
from . import Mesh_Operators_CahnHilliard
from . import Mesh_QuadTree_Creation
from . import Mesh_QuadTree_FaceDiv
from . import Mesh_QuadTree_HangingNodes
from . import Mesh_Tensor_Creation
from . import MT_1D_ForwardAndInversion
from . import MT_3D_Foward
from . import Utils_surface2ind_topo
import EM_FDEM_1D_Inversion
import Mesh_QuadTree_Creation
import EM_TDEM_1D_Inversion
import Mesh_QuadTree_FaceDiv
import Mesh_Tensor_Creation
import FLOW_Richards_1D_Celia1990
import DC_Forward_PseudoSection
import Mesh_Operators_CahnHilliard
import Mesh_Basic_Types
import Inversion_IRLS
import Inversion_Linear
import EM_Schenkel_Morrison_Casing
import MT_3D_Foward
import Mesh_Basic_ForwardDC
import MT_1D_ForwardAndInversion
import Utils_surface2ind_topo
import MT_1D_analytic_nlayer_Earth
import EM_FDEM_Analytic_MagDipoleWholespace
import Mesh_Basic_PlotImage
import DC_Analytic_Dipole
import Mesh_QuadTree_HangingNodes
__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"]
__examples__ = ["EM_FDEM_1D_Inversion", "Mesh_QuadTree_Creation", "EM_TDEM_1D_Inversion", "Mesh_QuadTree_FaceDiv", "Mesh_Tensor_Creation", "FLOW_Richards_1D_Celia1990", "DC_Forward_PseudoSection", "Mesh_Operators_CahnHilliard", "Mesh_Basic_Types", "Inversion_IRLS", "Inversion_Linear", "EM_Schenkel_Morrison_Casing", "MT_3D_Foward", "Mesh_Basic_ForwardDC", "MT_1D_ForwardAndInversion", "Utils_surface2ind_topo", "MT_1D_analytic_nlayer_Earth", "EM_FDEM_Analytic_MagDipoleWholespace", "Mesh_Basic_PlotImage", "DC_Analytic_Dipole", "Mesh_QuadTree_HangingNodes"]
##### AUTOIMPORTS #####
@@ -47,7 +39,7 @@ 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', 'content', 'examples'])
docExamplesDir = os.path.sep.join(fName.split(os.path.sep)[:-3] + ['docs', 'examples'])
shutil.rmtree(docExamplesDir)
os.makedirs(docExamplesDir)
@@ -104,14 +96,14 @@ 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', 'content', 'examples', name + '.rst']))
rst = os.path.sep.join((filePath.split(os.path.sep)[:-3] + ['docs', 'examples', name + '.rst']))
print('Creating: %s.rst'%name)
print 'Creating: %s.rst'%name
f = open(rst, 'w')
f.write(out)
f.close()
+8 -14
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@@ -1,20 +1,14 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import object
from SimPEG import Mesh, Maps, Utils, np
from future.utils import with_metaclass
class NonLinearMap(with_metaclass(Utils.SimPEGMetaClass, object)):
class NonLinearMap(object):
"""
SimPEG NonLinearMap
"""
__metaclass__ = Utils.SimPEGMetaClass
counter = None #: A SimPEG.Utils.Counter object
mesh = None #: A SimPEG Mesh
@@ -37,7 +31,7 @@ class NonLinearMap(with_metaclass(Utils.SimPEGMetaClass, object)):
"""
:param numpy.array u: fields
:param numpy.array m: model
:rtype: scipy.sparse.csr_matrix
:rtype: scipy.csr_matrix
:return: derivative of transformed model
The *transform* changes the model into the physical property.
@@ -50,7 +44,7 @@ class NonLinearMap(with_metaclass(Utils.SimPEGMetaClass, object)):
"""
:param numpy.array u: fields
:param numpy.array m: model
:rtype: scipy.sparse.csr_matrix
:rtype: scipy.csr_matrix
:return: derivative of transformed model
The *transform* changes the model into the physical property.
@@ -192,7 +186,7 @@ class _haverkamp_theta(NonLinearMap):
def transformDerivU(self, u, m):
self.setModel(m)
g = (self.alpha*((self.theta_s - self.theta_r) /
g = (self.alpha*((self.theta_s - self.theta_r)/
(self.alpha + abs(u)**self.beta)**2)
*(-self.beta*abs(u)**(self.beta-1)*np.sign(u)))
g[u >= 0] = 0
@@ -279,7 +273,7 @@ class _vangenuchten_theta(NonLinearMap):
def transform(self, u, m):
self.setModel(m)
m = 1 - 1.0/self.n
f = (( self.theta_s - self.theta_r ) /
f = (( self.theta_s - self.theta_r )/
((1+abs(self.alpha*u)**self.n)**m) + self.theta_r)
if Utils.isScalar(self.theta_s):
f[u >= 0] = self.theta_s
@@ -349,7 +343,7 @@ class _vangenuchten_k(NonLinearMap):
Ks = self.Ks
m = 1.0 - 1.0/n
g = I*alpha*n*np.exp(Ks)*abs(alpha*u)**(n - 1.0)*np.sign(alpha*u)*(1.0/n - 1.0)*((abs(alpha*u)**n + 1)**(1.0/n - 1))**(I - 1)*((1 - 1.0/((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1)))**(1 - 1.0/n) - 1)**2*(abs(alpha*u)**n + 1)**(1.0/n - 2) - (2*alpha*n*np.exp(Ks)*abs(alpha*u)**(n - 1)*np.sign(alpha*u)*(1.0/n - 1)*((abs(alpha*u)**n + 1)**(1.0/n - 1))**I*((1 - 1.0/((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1)))**(1 - 1.0/n) - 1)*(abs(alpha*u)**n + 1)**(1.0/n - 2))/(((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1))+ 1)*(1 - 1.0/((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1)))**(1.0/n)
g = I*alpha*n*np.exp(Ks)*abs(alpha*u)**(n - 1.0)*np.sign(alpha*u)*(1.0/n - 1.0)*((abs(alpha*u)**n + 1)**(1.0/n - 1))**(I - 1)*((1 - 1.0/((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1)))**(1 - 1.0/n) - 1)**2*(abs(alpha*u)**n + 1)**(1.0/n - 2) - (2*alpha*n*np.exp(Ks)*abs(alpha*u)**(n - 1)*np.sign(alpha*u)*(1.0/n - 1)*((abs(alpha*u)**n + 1)**(1.0/n - 1))**I*((1 - 1.0/((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1)))**(1 - 1.0/n) - 1)*(abs(alpha*u)**n + 1)**(1.0/n - 2))/(((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1) + 1)*(1 - 1.0/((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1)))**(1.0/n))
g[u >= 0] = 0
g = Utils.sdiag(g)
return g
+8 -15
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@@ -1,12 +1,5 @@
from __future__ import print_function
from __future__ import absolute_import
from __future__ import division
from __future__ import unicode_literals
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import *
from .Empirical import RichardsMap
from Empirical import RichardsMap
import time
@@ -68,7 +61,7 @@ class RichardsSurvey(Survey.BaseSurvey):
@Utils.requires('prob')
def eval(self, U, m):
Ds = list(range(len(self.rxList)))
Ds = range(len(self.rxList))
for ii, rx in enumerate(self.rxList):
Ds[ii] = rx.eval(U, m,
self.prob.mapping,
@@ -80,7 +73,7 @@ class RichardsSurvey(Survey.BaseSurvey):
@Utils.requires('prob')
def evalDeriv(self, U, m):
"""The Derivative with respect to the fields."""
Ds = list(range(len(self.rxList)))
Ds = range(len(self.rxList))
for ii, rx in enumerate(self.rxList):
Ds[ii] = rx.evalDeriv(U, m,
self.prob.mapping,
@@ -142,12 +135,12 @@ class RichardsProblem(Problem.BaseTimeProblem):
@Utils.timeIt
def fields(self, m):
tic = time.time()
u = list(range(self.nT+1))
u = range(self.nT+1)
u[0] = self.initialConditions
for ii, dt in enumerate(self.timeSteps):
bc = self.getBoundaryConditions(ii, u[ii])
u[ii+1] = self.rootFinder.root(lambda hn1m, return_g=True: self.getResidual(m, u[ii], hn1m, dt, bc, return_g=return_g), u[ii])
if self.debug: print("Solving Fields (%4d/%d - %3.1f%% Done) %d Iterations, %4.2f seconds"%(ii+1, self.nT, 100.0*(ii+1)/self.nT, self.rootFinder.iter, time.time() - tic))
if self.debug: print "Solving Fields (%4d/%d - %3.1f%% Done) %d Iterations, %4.2f seconds"%(ii+1, self.nT, 100.0*(ii+1)/self.nT, self.rootFinder.iter, time.time() - tic)
return u
@Utils.timeIt
@@ -245,7 +238,7 @@ class RichardsProblem(Problem.BaseTimeProblem):
f = self.fields(m)
nn = len(f)-1
Asubs, Adiags, Bs = list(range(nn)), list(range(nn)), list(range(nn))
Asubs, Adiags, Bs = range(nn), range(nn), range(nn)
for ii in range(nn):
dt = self.timeSteps[ii]
bc = self.getBoundaryConditions(ii, f[ii])
@@ -270,7 +263,7 @@ class RichardsProblem(Problem.BaseTimeProblem):
if f is None:
f = self.fields(m)
JvC = list(range(len(f)-1)) # Cell to hold each row of the long vector.
JvC = range(len(f)-1) # Cell to hold each row of the long vector.
# This is done via forward substitution.
bc = self.getBoundaryConditions(0, f[0])
@@ -302,7 +295,7 @@ class RichardsProblem(Problem.BaseTimeProblem):
bc = self.getBoundaryConditions(ii-1, f[ii-1])
Asub, Adiag, B = self.diagsJacobian(m, f[ii-1], f[ii], self.timeSteps[ii-1], bc)
#select the correct part of v
vpart = list(range((ii)*Adiag.shape[0], (ii+1)*Adiag.shape[0]))
vpart = range((ii)*Adiag.shape[0], (ii+1)*Adiag.shape[0])
AdiaginvT = self.Solver(Adiag.T, **self.solverOpts)
JTvC = AdiaginvT * (PTv[vpart] - minus)
minus = Asub.T*JTvC # this is now the super diagonal.
+2 -8
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@@ -1,8 +1,2 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from . import Empirical
from .RichardsProblem import *
import Empirical
from RichardsProblem import *
+1 -7
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@@ -1,7 +1 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from . import Richards
import Richards
+2 -11
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@@ -1,13 +1,4 @@
from __future__ import division
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import range
from builtins import object
from . import Utils
import numpy as np, scipy.sparse as sp
import Utils, numpy as np, scipy.sparse as sp
class Fields(object):
"""Fancy Field Storage
@@ -253,7 +244,7 @@ class TimeFields(Fields):
out = func(pointerFields, srcII, timeII)
else: #loop over the time steps
nT = pointerShape[2]
out = list(range(nT))
out = range(nT)
for i, TIND_i in enumerate(timeII):
fieldI = pointerFields[:,:,i]
if fieldI.shape[0] == fieldI.size:
+12 -19
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@@ -1,21 +1,14 @@
from __future__ import print_function
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from builtins import object
from . import Utils, Survey, Problem
import numpy as np, scipy.sparse as sp, gc
from .Utils.SolverUtils import *
from . import DataMisfit
from . import Regularization
from future.utils import with_metaclass
import Utils, Survey, Problem, numpy as np, scipy.sparse as sp, gc
from Utils.SolverUtils import *
import DataMisfit
import Regularization
class BaseInvProblem(with_metaclass(Utils.SimPEGMetaClass, object)):
class BaseInvProblem(object):
"""BaseInvProblem(dmisfit, reg, opt)"""
__metaclass__ = Utils.SimPEGMetaClass
beta = 1.0 #: Trade-off parameter
debug = False #: Print debugging information
@@ -61,10 +54,10 @@ class BaseInvProblem(with_metaclass(Utils.SimPEGMetaClass, object)):
Called when inversion is first starting.
"""
if self.debug: print('Calling InvProblem.startup')
if self.debug: print 'Calling InvProblem.startup'
if self.reg.mref is None:
print('SimPEG.InvProblem will set Regularization.mref to m0.')
print 'SimPEG.InvProblem will set Regularization.mref to m0.'
self.reg.mref = m0
self.phi_d = np.nan
@@ -72,8 +65,8 @@ class BaseInvProblem(with_metaclass(Utils.SimPEGMetaClass, object)):
self.curModel = m0
print("""SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.
***Done using same Solver and solverOpts as the problem***""")
print """SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.
***Done using same Solver and solverOpts as the problem***"""
self.opt.bfgsH0 = self.prob.Solver(self.reg.eval2Deriv(self.curModel), **self.prob.solverOpts)
@property
@@ -94,7 +87,7 @@ class BaseInvProblem(with_metaclass(Utils.SimPEGMetaClass, object)):
for mtest, u_ofmtest in self.warmstart:
if m is mtest:
f = u_ofmtest
if self.debug: print('InvProb is Warm Starting!')
if self.debug: print 'InvProb is Warm Starting!'
break
if f is None:
+5 -11
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@@ -1,24 +1,18 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from builtins import object
import SimPEG
from SimPEG import Utils, sp, np
from .Optimization import Remember, IterationPrinters, StoppingCriteria
from . import Directives
from future.utils import with_metaclass
from Optimization import Remember, IterationPrinters, StoppingCriteria
import Directives
class BaseInversion(with_metaclass(Utils.SimPEGMetaClass, object)):
class BaseInversion(object):
"""
Inversion Class.
"""
__metaclass__ = Utils.SimPEGMetaClass
name = 'BaseInversion'
debug = False #: Print debugging information
-138
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@@ -1,138 +0,0 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from SimPEG import SolverLU as SimpegSolver, PropMaps, Utils, mkvc, sp, np
from SimPEG.EM.FDEM.ProblemFDEM import BaseFDEMProblem
from .SurveyMT import Survey, Data
from .FieldsMT import BaseMTFields
class BaseMTProblem(BaseFDEMProblem):
"""
Base class for all Natural source problems.
"""
def __init__(self, mesh, **kwargs):
BaseFDEMProblem.__init__(self, mesh, **kwargs)
Utils.setKwargs(self, **kwargs)
# Set the default pairs of the problem
surveyPair = Survey
dataPair = Data
fieldsPair = BaseMTFields
# Set the solver
Solver = SimpegSolver
solverOpts = {}
verbose = False
# Notes:
# Use the forward and devs from BaseFDEMProblem
# Might need to add more stuff here.
## NEED to clean up the Jvec and Jtvec to use Zero and Identities for None components.
def Jvec(self, m, v, f=None):
"""
Function to calculate the data sensitivities dD/dm times a vector.
:param numpy.ndarray m (nC, 1) - conductive model
:param numpy.ndarray v (nC, 1) - random vector
:param MTfields object (optional) - MT fields object, if not given it is calculated
:rtype: MTdata object
:return: Data sensitivities wrt m
"""
# Calculate the fields
if f is None:
f= self.fields(m)
# Set current model
self.curModel = m
# Initiate the Jv object
Jv = self.dataPair(self.survey)
# Loop all the frequenies
for freq in self.survey.freqs:
dA_du = self.getA(freq) #
dA_duI = self.Solver(dA_du, **self.solverOpts)
for src in self.survey.getSrcByFreq(freq):
# We need fDeriv_m = df/du*du/dm + df/dm
# Construct du/dm, it requires a solve
# NOTE: need to account for the 2 polarizations in the derivatives.
f_src = f[src,:]
# dA_dm and dRHS_dm should be of size nE,2, so that we can multiply by dA_duI. The 2 columns are each of the polarizations.
dA_dm = self.getADeriv_m(freq, f_src, v) # Size: nE,2 (u_px,u_py) in the columns.
dRHS_dm = self.getRHSDeriv_m(freq, v) # Size: nE,2 (u_px,u_py) in the columns.
if dRHS_dm is None:
du_dm = dA_duI * ( -dA_dm )
else:
du_dm = dA_duI * ( -dA_dm + dRHS_dm )
# Calculate the projection derivatives
for rx in src.rxList:
# Get the projection derivative
# v should be of size 2*nE (for 2 polarizations)
PDeriv_u = lambda t: rx.evalDeriv(src, self.mesh, f, t) # wrt u, we don't have have PDeriv wrt m
Jv[src, rx] = PDeriv_u(mkvc(du_dm))
dA_duI.clean()
# Return the vectorized sensitivities
return mkvc(Jv)
def Jtvec(self, m, v, f=None):
"""
Function to calculate the transpose of the data sensitivities (dD/dm)^T times a vector.
:param numpy.ndarray m (nC, 1) - conductive model
:param numpy.ndarray v (nD, 1) - vector
:param MTfields object u (optional) - MT fields object, if not given it is calculated
:rtype: MTdata object
:return: Data sensitivities wrt m
"""
if f is None:
f = self.fields(m)
self.curModel = m
# Ensure v is a data object.
if not isinstance(v, self.dataPair):
v = self.dataPair(self.survey, v)
Jtv = np.zeros(m.size)
for freq in self.survey.freqs:
AT = self.getA(freq).T
ATinv = self.Solver(AT, **self.solverOpts)
for src in self.survey.getSrcByFreq(freq):
ftype = self._fieldType + 'Solution'
f_src = f[src, :]
for rx in src.rxList:
# Get the adjoint evalDeriv
# PTv needs to be nE,
PTv = rx.evalDeriv(src, self.mesh, f, mkvc(v[src, rx],2), adjoint=True) # wrt u, need possibility wrt m
# Get the
dA_duIT = ATinv * PTv
dA_dmT = self.getADeriv_m(freq, f_src, mkvc(dA_duIT), adjoint=True)
dRHS_dmT = self.getRHSDeriv_m(freq, mkvc(dA_duIT), adjoint=True)
# Make du_dmT
if dRHS_dmT is None:
du_dmT = -dA_dmT
else:
du_dmT = -dA_dmT + dRHS_dmT
# Select the correct component
# du_dmT needs to be of size nC,
real_or_imag = rx.projComp
if real_or_imag == 'real':
Jtv += du_dmT.real
elif real_or_imag == 'imag':
Jtv += -du_dmT.real
else:
raise Exception('Must be real or imag')
# Clean the factorization, clear memory.
ATinv.clean()
return Jtv
-297
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@@ -1,297 +0,0 @@
from __future__ import print_function
from __future__ import division
from __future__ import unicode_literals
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG.EM.Utils import omega
from SimPEG import mkvc
from scipy.constants import mu_0
from SimPEG.MT.BaseMT import BaseMTProblem
from SimPEG.MT.SurveyMT import Survey, Data
from SimPEG.MT.FieldsMT import Fields1D_e
from SimPEG.MT.Utils.MT1Danalytic import getEHfields
import numpy as np
import multiprocessing, sys, time
class eForm_psField(BaseMTProblem):
"""
A MT problem soving a e formulation and primary/secondary fields decomposion.
By eliminating the magnetic flux density using
.. math ::
\mathbf{b} = \\frac{1}{i \omega}\\left(-\mathbf{C} \mathbf{e} \\right)
we can write Maxwell's equations as a second order system in \\\(\\\mathbf{e}\\\) only:
.. math ::
\\left(\mathbf{C}^T \mathbf{M^e_{\mu^{-1}}} \mathbf{C} + i \omega \mathbf{M^f_\sigma}] \mathbf{e}_{s} =& i \omega \mathbf{M^f_{\delta \sigma}} \mathbf{e}_{p}
which we solve for \\\(\\\mathbf{e_s}\\\). The total field \\\mathbf{e}\\ = \\\mathbf{e_p}\\ + \\\mathbf{e_s}\\.
The primary field is estimated from a background model (commonly half space ).
"""
# From FDEMproblem: Used to project the fields. Currently not used for MTproblem.
_fieldType = 'e_1d'
_eqLocs = 'EF'
_sigmaPrimary = None
def __init__(self, mesh, **kwargs):
BaseMTProblem.__init__(self, mesh, **kwargs)
self.fieldsPair = Fields1D_e
# self._sigmaPrimary = sigmaPrimary
@property
def MeMui(self):
"""
Edge inner product matrix
"""
if getattr(self, '_MeMui', None) is None:
self._MeMui = self.mesh.getEdgeInnerProduct(old_div(1.0,mu_0))
return self._MeMui
@property
def MfSigma(self):
"""
Edge inner product matrix
"""
if getattr(self, '_MfSigma', None) is None:
self._MfSigma = self.mesh.getFaceInnerProduct(self.curModel.sigma)
return self._MfSigma
@property
def sigmaPrimary(self):
"""
A background model, use for the calculation of the primary fields.
"""
return self._sigmaPrimary
@sigmaPrimary.setter
def sigmaPrimary(self, val):
# Note: TODO add logic for val, make sure it is the correct size.
self._sigmaPrimary = val
def getA(self, freq):
"""
Function to get the A matrix.
:param float freq: Frequency
:rtype: scipy.sparse.csr_matrix
:return: A
"""
# Note: need to use the code above since in the 1D problem I want
# e to live on Faces(nodes) and h on edges(cells). Might need to rethink this
# Possible that _fieldType and _eqLocs can fix this
MeMui = self.MeMui
MfSigma = self.MfSigma
C = self.mesh.nodalGrad
# Make A
A = C.T*MeMui*C + 1j*omega(freq)*MfSigma
# Either return full or only the inner part of A
return A
def getADeriv_m(self, freq, u, v, adjoint=False):
"""
The derivative of A wrt sigma
"""
dsig_dm = self.curModel.sigmaDeriv
MeMui = self.MeMui
#
u_src = u['e_1dSolution']
dMfSigma_dm = self.mesh.getFaceInnerProductDeriv(self.curModel.sigma)(u_src) * self.curModel.sigmaDeriv
if adjoint:
return 1j * omega(freq) * ( dMfSigma_dm.T * v )
# Note: output has to be nN/nF, not nC/nE.
# v should be nC
return 1j * omega(freq) * ( dMfSigma_dm * v )
def getRHS(self, freq):
"""
Function to return the right hand side for the system.
:param float freq: Frequency
:rtype: numpy.ndarray (nF, 1), numpy.ndarray (nF, 1)
:return: RHS for 1 polarizations, primary fields
"""
# Get sources for the frequncy(polarizations)
Src = self.survey.getSrcByFreq(freq)[0]
S_e = Src.S_e(self)
return -1j * omega(freq) * S_e
def getRHSDeriv_m(self, freq, v, adjoint=False):
"""
The derivative of the RHS wrt sigma
"""
Src = self.survey.getSrcByFreq(freq)[0]
S_eDeriv = Src.S_eDeriv_m(self, v, adjoint)
return -1j * omega(freq) * S_eDeriv
def fields(self, m):
'''
Function to calculate all the fields for the model m.
:param np.ndarray (nC,) m: Conductivity model
'''
# Set the current model
self.curModel = m
F = Fields1D_e(self.mesh, self.survey)
for freq in self.survey.freqs:
if self.verbose:
startTime = time.time()
print('Starting work for {:.3e}'.format(freq))
sys.stdout.flush()
A = self.getA(freq)
rhs = self.getRHS(freq)
Ainv = self.Solver(A, **self.solverOpts)
e_s = Ainv * rhs
# Store the fields
Src = self.survey.getSrcByFreq(freq)[0]
# NOTE: only store the e_solution(secondary), all other components calculated in the fields object
F[Src, 'e_1dSolution'] = e_s[:,-1] # Only storing the yx polarization as 1d
# Note curl e = -iwb so b = -curl e /iw
# b = -( self.mesh.nodalGrad * e )/( 1j*omega(freq) )
# F[Src, 'b_1d'] = b[:,1]
if self.verbose:
print('Ran for {:f} seconds'.format(time.time()-startTime))
sys.stdout.flush()
return F
# Note this is not fully functional.
# Missing:
# Fields class corresponding to the fields
# Update Jvec and Jtvec to include all the derivatives components
# Other things ...
class eForm_TotalField(BaseMTProblem):
"""
A MT problem solving a e formulation and a Total bondary domain decompostion.
Solves the equation:
Math:
"""
# From FDEMproblem: Used to project the fields. Currently not used for MTproblem.
_fieldType = 'e'
_eqLocs = 'EF'
def __init__(self, mesh, **kwargs):
BaseMTProblem.__init__(self, mesh, **kwargs)
@property
def MeMui(self):
"""
Edge inner product matrix
"""
if getattr(self, '_MeMui', None) is None:
self._MeMui = self.mesh.getEdgeInnerProduct(old_div(1.0,mu_0))
return self._MeMui
@property
def MfSigma(self):
"""
Edge inner product matrix
"""
if getattr(self, '_MfSigma', None) is None:
self._MfSigma = self.mesh.getFaceInnerProduct(self.curModel.sigma)
return self._MfSigma
def getA(self, freq, full=False):
"""
Function to get the A matrix.
:param float freq: Frequency
:param logic full: Return full A or the inner part
:rtype: scipy.sparse.csr_matrix
:return: A
"""
MeMui = self.MeMui
MfSigma = self.MfSigma
# Note: need to use the code above since in the 1D problem I want
# e to live on Faces(nodes) and h on edges(cells). Might need to rethink this
# Possible that _fieldType and _eqLocs can fix this
# MeMui = self.MfMui
# MfSigma = self.MfSigma
C = self.mesh.nodalGrad
# Make A
A = C.T*MeMui*C + 1j*omega(freq)*MfSigma
# Either return full or only the inner part of A
if full:
return A
else:
return A[1:-1,1:-1]
def getADeriv_m(self, freq, u, v, adjoint=False):
raise NotImplementedError('getADeriv is not implemented')
def getRHS(self, freq):
"""
Function to return the right hand side for the system.
:param float freq: Frequency
:rtype: numpy.ndarray (nE, 2), numpy.ndarray (nE, 2)
:return: RHS for both polarizations, primary fields
"""
# Get sources for the frequency
# NOTE: Need to use the source information, doesn't really apply in 1D
src = self.survey.getSrcByFreq(freq)
# Get the full A
A = self.getA(freq,full=True)
# Define the outer part of the solution matrix
Aio = A[1:-1,[0,-1]]
Ed, Eu, Hd, Hu = getEHfields(self.mesh,self.curModel.sigma,freq,self.mesh.vectorNx)
Etot = (Ed + Eu)
sourceAmp = 1.0
Etot = ((old_div(Etot,Etot[-1]))*sourceAmp) # Scale the fields to be equal to sourceAmp at the top
## Note: The analytic solution is derived with e^iwt
eBC = np.r_[Etot[0],Etot[-1]]
# The right hand side
return -Aio*eBC, eBC
def getRHSderiv_m(self, freq, backSigma, u, v, adjoint=False):
raise NotImplementedError('getRHSDeriv not implemented yet')
return None
def fields(self, m):
'''
Function to calculate all the fields for the model m.
:param np.ndarray (nC,) m: Conductivity model
:param np.ndarray (nC,) m_back: Background conductivity model
'''
self.curModel = m
# RHS, CalcFields = self.getRHS(freq,m_back), self.calcFields
F = Fields1D_e(self.mesh, self.survey)
for freq in self.survey.freqs:
if self.verbose:
startTime = time.time()
print('Starting work for {:.3e}'.format(freq))
sys.stdout.flush()
A = self.getA(freq)
rhs, e_o = self.getRHS(freq)
Ainv = self.Solver(A, **self.solverOpts)
e_i = Ainv * rhs
e = mkvc(np.r_[e_o[0], e_i, e_o[1]],2)
# Store the fields
Src = self.survey.getSrcByFreq(freq)
# NOTE: only store e fields
F[Src, 'e_1dSolution'] = e[:,0]
if self.verbose:
print('Ran for {:f} seconds'.format(time.time()-startTime))
sys.stdout.flush()
return F
-7
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@@ -1,7 +0,0 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from .Probs import eForm_TotalField, eForm_psField
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-7
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@@ -1,7 +0,0 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
pass
-144
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@@ -1,144 +0,0 @@
from __future__ import print_function
from __future__ import unicode_literals
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from SimPEG import Survey, Problem, Utils, Models, np, sp, mkvc, SolverLU as SimpegSolver
from SimPEG.EM.Utils import omega
from scipy.constants import mu_0
from SimPEG.MT.BaseMT import BaseMTProblem
from SimPEG.MT.SurveyMT import Survey, Data
from SimPEG.MT.FieldsMT import Fields3D_e
import multiprocessing, sys, time
class eForm_ps(BaseMTProblem):
"""
A MT problem solving a e formulation and a primary/secondary fields decompostion.
By eliminating the magnetic flux density using
.. math ::
\mathbf{b} = \\frac{1}{i \omega}\\left(-\mathbf{C} \mathbf{e} \\right)
we can write Maxwell's equations as a second order system in \\\(\\\mathbf{e}\\\) only:
.. math ::
\\left(\mathbf{C}^T \mathbf{M^f_{\mu^{-1}}} \mathbf{C} + i \omega \mathbf{M^e_\sigma}] \mathbf{e}_{s} =& i \omega \mathbf{M^e_{\delta \sigma}} \mathbf{e}_{p}
which we solve for \\\(\\\mathbf{e_s}\\\). The total field \\\mathbf{e}\\ = \\\mathbf{e_p}\\ + \\\mathbf{e_s}\\.
The primary field is estimated from a background model (commonly as a 1D model).
"""
# From FDEMproblem: Used to project the fields. Currently not used for MTproblem.
_fieldType = 'e'
_eqLocs = 'FE'
fieldsPair = Fields3D_e
_sigmaPrimary = None
def __init__(self, mesh, **kwargs):
BaseMTProblem.__init__(self, mesh, **kwargs)
@property
def sigmaPrimary(self):
"""
A background model, use for the calculation of the primary fields.
"""
return self._sigmaPrimary
@sigmaPrimary.setter
def sigmaPrimary(self, val):
# Note: TODO add logic for val, make sure it is the correct size.
self._sigmaPrimary = val
def getA(self, freq):
"""
Function to get the A system.
:param float freq: Frequency
:rtype: scipy.sparse.csr_matrix
:return: A
"""
Mmui = self.MfMui
Msig = self.MeSigma
C = self.mesh.edgeCurl
return C.T*Mmui*C + 1j*omega(freq)*Msig
def getADeriv_m(self, freq, u, v, adjoint=False):
"""
Calculate the derivative of A wrt m.
"""
# This considers both polarizations and returns a nE,2 matrix for each polarization
if adjoint:
dMe_dsigV = sp.hstack(( self.MeSigmaDeriv( u['e_pxSolution'] ).T, self.MeSigmaDeriv(u['e_pySolution'] ).T ))*v
else:
# Need a nE,2 matrix to be returned
dMe_dsigV = np.hstack(( mkvc(self.MeSigmaDeriv( u['e_pxSolution'] )*v,2), mkvc( self.MeSigmaDeriv(u['e_pySolution'] )*v,2) ))
return 1j * omega(freq) * dMe_dsigV
def getRHS(self, freq):
"""
Function to return the right hand side for the system.
:param float freq: Frequency
:rtype: numpy.ndarray (nE, 2), numpy.ndarray (nE, 2)
:return: RHS for both polarizations, primary fields
"""
# Get sources for the frequncy(polarizations)
Src = self.survey.getSrcByFreq(freq)[0]
S_e = Src.S_e(self)
return -1j * omega(freq) * S_e
def getRHSDeriv_m(self, freq, v, adjoint=False):
"""
The derivative of the RHS with respect to sigma
"""
Src = self.survey.getSrcByFreq(freq)[0]
S_eDeriv = Src.S_eDeriv_m(self, v, adjoint)
return -1j * omega(freq) * S_eDeriv
def fields(self, m):
'''
Function to calculate all the fields for the model m.
:param np.ndarray (nC,) m: Conductivity model
'''
# Set the current model
self.curModel = m
F = Fields3D_e(self.mesh, self.survey)
for freq in self.survey.freqs:
if self.verbose:
startTime = time.time()
print('Starting work for {:.3e}'.format(freq))
sys.stdout.flush()
A = self.getA(freq)
rhs = self.getRHS(freq)
# Solve the system
Ainv = self.Solver(A, **self.solverOpts)
e_s = Ainv * rhs
# Store the fields
Src = self.survey.getSrcByFreq(freq)[0]
# Store the fieldss
F[Src, 'e_pxSolution'] = e_s[:,0]
F[Src, 'e_pySolution'] = e_s[:,1]
# Note curl e = -iwb so b = -curl/iw
if self.verbose:
print('Ran for {:f} seconds'.format(time.time()-startTime))
sys.stdout.flush()
Ainv.clean()
return F
-7
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@@ -1,7 +0,0 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from .Probs import eForm_ps
-10
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@@ -1,10 +0,0 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from .MT1Dsolutions import * # Add the names of the functions
from .MT1Danalytic import *
from .dataUtils import *
from .ediFilesUtils import *
-52
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@@ -1,52 +0,0 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
import SimPEG as simpeg, numpy as np
def homo1DModelSource(mesh,freq,m_back):
'''
Function that calculates and return background fields for a 3D mesh and model.
The calculuations use 1D field solution for a vertical slice throught model (south-western most column),
which is assigned at the fields everywhere for the respective polarizations.2
:param Simpeg mesh object mesh: Holds information on the discretization
:param float freq: The frequency to solve at
:param np.array m_back: Background model of conductivity to base the calculations on.
:rtype: numpy.ndarray (mesh.nE,2)
:return: eBG_bp, E fields for the background model at both polarizations.
'''
# import
from SimPEG.MT.Utils import get1DEfields
# Get a 1d solution for a halfspace background
mesh1d = simpeg.Mesh.TensorMesh([mesh.hz],np.array([mesh.x0[2]]))
# Note: Everything is using e^iwt
e0_1d = get1DEfields(mesh1d,mesh.r(m_back,'CC','CC','M')[0,0,:],freq)
# Setup x (east) polarization (_x)
ex_px = np.zeros(mesh.vnEx,dtype=complex)
ey_px = np.zeros((mesh.nEy,1),dtype=complex)
ez_px = np.zeros((mesh.nEz,1),dtype=complex)
# Assign the source to ex_x
for i in np.arange(mesh.vnEx[0]):
for j in np.arange(mesh.vnEx[1]):
ex_px[i,j,:] = -e0_1d
eBG_px = np.vstack((simpeg.Utils.mkvc(ex_px,2),ey_px,ez_px))
# Setup y (north) polarization (_py)
ex_py = np.zeros((mesh.nEx,1), dtype='complex128')
ey_py = np.zeros(mesh.vnEy, dtype='complex128')
ez_py = np.zeros((mesh.nEz,1), dtype='complex128')
# Assign the source to ey_py
for i in np.arange(mesh.vnEy[0]):
for j in np.arange(mesh.vnEy[1]):
ey_py[i,j,:] = e0_1d
# ey_py[1:-1,1:-1,1:-1] = 0
eBG_py = np.vstack((ex_py,simpeg.Utils.mkvc(ey_py,2),ez_py))
# Return the electric fields
eBG_bp = np.hstack((eBG_px,eBG_py))
return eBG_bp
-11
View File
@@ -1,11 +0,0 @@
from __future__ import absolute_import
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from future import standard_library
standard_library.install_aliases()
from . import Utils
from .SurveyMT import Rx, Survey, Data
from .FieldsMT import Fields1D_e, Fields3D_e
from . import Problem1D, Problem2D, Problem3D
from . import SrcMT
+40 -45
View File
@@ -1,32 +1,23 @@
from __future__ import print_function
from __future__ import absolute_import
from __future__ import division
from __future__ import unicode_literals
from future import standard_library
standard_library.install_aliases()
from builtins import str
from builtins import range
from builtins import object
from . import Utils
import numpy as np, scipy.sparse as sp
import Utils, numpy as np, scipy.sparse as sp
from scipy.sparse.linalg import LinearOperator
from .Tests import checkDerivative
from Tests import checkDerivative
from PropMaps import PropMap, Property
from numpy.polynomial import polynomial
from scipy.interpolate import UnivariateSpline
import warnings
from future.utils import with_metaclass
class IdentityMap(with_metaclass(Utils.SimPEGMetaClass, object)):
class IdentityMap(object):
"""
SimPEG Map
"""
__metaclass__ = Utils.SimPEGMetaClass
def __init__(self, mesh=None, nP=None, **kwargs):
Utils.setKwargs(self, **kwargs)
if nP is not None:
assert type(nP) in [int, int], ' Number of parameters must be an integer.'
assert type(nP) in [int, long], ' Number of parameters must be an integer.'
self.mesh = mesh
self._nP = nP
@@ -50,8 +41,8 @@ class IdentityMap(with_metaclass(Utils.SimPEGMetaClass, object)):
If this is a meshless mapping (i.e. nP is defined independently)
the shape will be the the shape (nP,nP).
:rtype: tuple
:return: shape of the operator as a tuple (int,int)
:rtype: (int,int)
:return: shape of the operator as a tuple
"""
if self._nP is not None:
return (self.nP, self.nP)
@@ -95,7 +86,7 @@ class IdentityMap(with_metaclass(Utils.SimPEGMetaClass, object)):
The derivative of the transformation.
:param numpy.array m: model
:rtype: scipy.sparse.csr_matrix
:rtype: scipy.csr_matrix
:return: derivative of transformed model
"""
@@ -110,7 +101,7 @@ class IdentityMap(with_metaclass(Utils.SimPEGMetaClass, object)):
:return: passed the test?
"""
print('Testing %s' % str(self))
print 'Testing %s' % str(self)
if m is None:
m = abs(np.random.rand(self.nP))
if 'plotIt' not in kwargs:
@@ -225,7 +216,7 @@ class ExpMap(IdentityMap):
def deriv(self, m):
"""
:param numpy.array m: model
:rtype: scipy.sparse.csr_matrix
:rtype: scipy.csr_matrix
:return: derivative of transformed model
The *transform* changes the model into the physical property.
@@ -300,7 +291,7 @@ class LogMap(IdentityMap):
deriv = np.zeros(mod.shape)
tol = 1e-16 # zero
ind = np.greater_equal(np.abs(mod),tol)
deriv[ind] = 1.0 / mod[ind]
deriv[ind] = 1.0/mod[ind]
return Utils.sdiag(deriv)
def inverse(self, m):
@@ -375,13 +366,13 @@ class SurjectVertical1D(IdentityMap):
def deriv(self, m):
"""
:param numpy.array m: model
:rtype: scipy.sparse.csr_matrix
:rtype: scipy.csr_matrix
:return: derivative of transformed model
"""
repNum = self.mesh.vnC[:self.mesh.dim-1].prod()
repVec = sp.csr_matrix(
(np.ones(repNum),
(list(range(repNum)), np.zeros(repNum))
(range(repNum), np.zeros(repNum))
), shape=(repNum, 1))
return sp.kron(sp.identity(self.nP), repVec)
@@ -436,14 +427,14 @@ class Surject2Dto3D(IdentityMap):
def deriv(self, m):
"""
:param numpy.array m: model
:rtype: scipy.sparse.csr_matrix
:rtype: scipy.csr_matrix
:return: derivative of transformed model
"""
inds = self * np.arange(self.nP)
nC, nP = self.mesh.nC, self.nP
P = sp.csr_matrix(
(np.ones(nC),
(list(range(nC)), inds)
(range(nC), inds)
), shape=(nC, nP))
return P
@@ -511,13 +502,11 @@ class InjectActiveCells(IdentityMap):
if Utils.isScalar(valInactive):
self.valInactive = np.ones(self.nC)*float(valInactive)
else:
self.valInactive = np.ones(self.nC)
self.valInactive[self.indInactive] = valInactive.copy()
self.valInactive = valInactive.copy()
self.valInactive[self.indActive] = 0
inds = np.nonzero(self.indActive)[0]
self.P = sp.csr_matrix((np.ones(inds.size),(inds, list(range(inds.size)))), shape=(self.nC, self.nP))
self.P = sp.csr_matrix((np.ones(inds.size),(inds, range(inds.size))), shape=(self.nC, self.nP))
@property
def shape(self):
@@ -604,14 +593,14 @@ class ComplexMap(IdentityMap):
@property
def shape(self):
return (self.nP // 2,self.nP)
return (self.nP/2,self.nP)
def _transform(self, m):
nC = self.mesh.nC
return m[:nC] + m[nC:]*1j
def deriv(self, m):
nC = self.nP//2
nC = self.nP/2
shp = (nC, nC*2)
def fwd(v):
return v[:nC] + v[nC:]*1j
@@ -704,7 +693,7 @@ class PolyMap(IdentityMap):
self.actInd = actInd
if getattr(self, 'actInd', None) is None:
self.actInd = list(range(self.mesh.nC))
self.actInd = range(self.mesh.nC)
self.nC = self.mesh.nC
else:
@@ -740,7 +729,7 @@ class PolyMap(IdentityMap):
elif self.normal =='Y':
f = polynomial.polyval(X, c) - Y
else:
raise Exception
raise(Exception("Input for normal = X or Y or Z"))
#3D
elif self.mesh.dim == 3:
X = self.mesh.gridCC[self.actInd,0]
@@ -753,10 +742,10 @@ class PolyMap(IdentityMap):
elif self.normal =='Z':
f = polynomial.polyval2d(X, Y, c.reshape((self.order[0]+1,self.order[1]+1))) - Z
else:
raise Exception
raise(Exception("Input for normal = X or Y or Z"))
else:
raise Exception
raise(Exception("Only supports 2D"))
return sig1+(sig2-sig1)*(np.arctan(alpha*f)/np.pi+0.5)
@@ -778,7 +767,7 @@ class PolyMap(IdentityMap):
f = polynomial.polyval(X, c) - Y
V = polynomial.polyvander(X, len(c)-1)
else:
raise Exception
raise(Exception("Input for normal = X or Y or Z"))
#3D
elif self.mesh.dim == 3:
X = self.mesh.gridCC[self.actInd,0]
@@ -795,7 +784,7 @@ class PolyMap(IdentityMap):
f = polynomial.polyval2d(X, Y, c.reshape((self.order[0]+1,self.order[1]+1))) - Z
V = polynomial.polyvander2d(X, Y, self.order)
else:
raise Exception
raise(Exception("Input for normal = X or Y or Z"))
if self.logSigma:
g1 = -(np.arctan(alpha*f)/np.pi + 0.5)*sig1 + sig1
@@ -843,7 +832,7 @@ class SplineMap(IdentityMap):
elif self.mesh.dim == 3:
return np.size(self.pts)*2+2
else:
raise Exception
raise(Exception("Only supports 2D and 3D"))
def _transform(self, m):
# Set model parameters
@@ -862,7 +851,7 @@ class SplineMap(IdentityMap):
elif self.normal =='Y':
f = self.spl(X) - Y
else:
raise Exception
raise(Exception("Input for normal = X or Y or Z"))
# 3D:
# Comments:
@@ -877,7 +866,7 @@ class SplineMap(IdentityMap):
npts = np.size(self.pts)
if np.mod(c.size, 2):
raise Exception
raise(Exception("Put even points!"))
self.spl = {"splb":UnivariateSpline(self.pts, c[:npts], k=self.order, s=0),
"splt":UnivariateSpline(self.pts, c[npts:], k=self.order, s=0)}
@@ -890,9 +879,9 @@ class SplineMap(IdentityMap):
# elif self.normal =='Y':
# elif self.normal =='Z':
else:
raise Exception
raise(Exception("Input for normal = X or Y or Z"))
else:
raise Exception
raise(Exception("Only supports 2D and 3D"))
return sig1+(sig2-sig1)*(np.arctan(alpha*f)/np.pi+0.5)
@@ -912,7 +901,7 @@ class SplineMap(IdentityMap):
elif self.normal =='Y':
f = self.spl(X) - Y
else:
raise Exception
raise(Exception("Input for normal = X or Y or Z"))
#3D
elif self.mesh.dim == 3:
X = self.mesh.gridCC[:,0]
@@ -926,7 +915,7 @@ class SplineMap(IdentityMap):
# elif self.normal =='Y':
# elif self.normal =='Z':
else:
raise Exception
raise(Exception("Not Implemented for Y and Z, your turn :)"))
if self.logSigma:
g1 = -(np.arctan(alpha*f)/np.pi + 0.5)*sig1 + sig1
@@ -982,5 +971,11 @@ class SplineMap(IdentityMap):
fderiv = (flinesa-flinesb)/(2*dy)
g3[:,i] = Utils.sdiag(alpha*(sig2-sig1)/(1.+(alpha*f)**2)/np.pi)*fderiv
else :
raise Exception
raise(Exception("Not Implemented for Y and Z, your turn :)"))
return sp.csr_matrix(np.c_[g1,g2,g3])
+24 -34
View File
@@ -1,11 +1,3 @@
from __future__ import unicode_literals
from __future__ import print_function
from __future__ import division
from __future__ import absolute_import
from future import standard_library
standard_library.install_aliases()
from builtins import range
from builtins import object
import numpy as np
from SimPEG import Utils
@@ -15,8 +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 n: (or list) number of cells in each direction (dim, )
:param numpy.array x0: (or list) Origin of the mesh (dim, )
:param numpy.array,list n: number of cells in each direction (dim, )
:param numpy.array,list x0: Origin of the mesh (dim, )
"""
@@ -42,8 +34,8 @@ class BaseMesh(object):
"""
Origin of the mesh
:rtype: numpy.array
:return: x0, (dim, )
:rtype: numpy.array (dim, )
:return: x0
"""
return self._x0
@@ -124,8 +116,8 @@ class BaseMesh(object):
"""
Total number of edges in each direction
:rtype: numpy.array
:return: [nEx, nEy, nEz], (dim, )
:rtype: numpy.array (dim, )
:return: [nEx, nEy, nEz]
.. plot::
:include-source:
@@ -181,8 +173,8 @@ class BaseMesh(object):
"""
Total number of faces in each direction
:rtype: numpy.array
:return: [nFx, nFy, nFz], (dim, )
:rtype: numpy.array (dim, )
:return: [nFx, nFy, nFz]
.. plot::
:include-source:
@@ -208,8 +200,8 @@ class BaseMesh(object):
"""
Face Normals
:rtype: numpy.array
:return: normals, (sum(nF), dim)
:rtype: numpy.array (sum(nF), dim)
:return: normals
"""
if self.dim == 2:
nX = np.c_[np.ones(self.nFx), np.zeros(self.nFx)]
@@ -226,8 +218,8 @@ class BaseMesh(object):
"""
Edge Tangents
:rtype: numpy.array
:return: normals, (sum(nE), dim)
:rtype: numpy.array (sum(nE), dim)
:return: normals
"""
if self.dim == 2:
tX = np.c_[np.ones(self.nEx), np.zeros(self.nEx)]
@@ -244,9 +236,8 @@ 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
:return: projected face vector, (nF, )
:rtype: numpy.array with shape (nF, )
:return: projected face vector
"""
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)'
@@ -257,9 +248,8 @@ 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
:return: projected edge vector, (nE, )
:rtype: numpy.array with shape (nE, )
:return: projected edge vector
"""
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)'
@@ -305,7 +295,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Total number of cells in each direction
:rtype: numpy.array
:rtype: numpy.array (dim, )
:return: [nCx, nCy, nCz]
"""
return np.array([x for x in [self.nCx, self.nCy, self.nCz] if not x is None])
@@ -345,7 +335,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Total number of nodes in each direction
:rtype: numpy.array
:rtype: numpy.array (dim, )
:return: [nNx, nNy, nNz]
"""
return np.array([x for x in [self.nNx, self.nNy, self.nNz] if not x is None])
@@ -355,7 +345,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Number of x-edges in each direction
:rtype: numpy.array
:rtype: numpy.array (dim, )
:return: vnEx
"""
return np.array([x for x in [self.nCx, self.nNy, self.nNz] if not x is None])
@@ -365,7 +355,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Number of y-edges in each direction
:rtype: numpy.array
:rtype: numpy.array (dim, )
: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])
@@ -375,7 +365,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Number of z-edges in each direction
:rtype: numpy.array
:rtype: numpy.array (dim, )
: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])
@@ -385,7 +375,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Number of x-faces in each direction
:rtype: numpy.array
:rtype: numpy.array (dim, )
:return: vnFx
"""
return np.array([x for x in [self.nNx, self.nCy, self.nCz] if not x is None])
@@ -395,7 +385,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Number of y-faces in each direction
:rtype: numpy.array
:rtype: numpy.array (dim, )
: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])
@@ -405,7 +395,7 @@ class BaseRectangularMesh(BaseMesh):
"""
Number of z-faces in each direction
:rtype: numpy.array
:rtype: numpy.array (dim, )
: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])
+9 -15
View File
@@ -1,16 +1,8 @@
from __future__ import print_function
from __future__ import absolute_import
from __future__ import division
from __future__ import unicode_literals
from future import standard_library
standard_library.install_aliases()
from builtins import range
from SimPEG import Utils, np
from .BaseMesh import BaseRectangularMesh
from .DiffOperators import DiffOperators
from .InnerProducts import InnerProducts
from .View import CurvView
from future.utils import with_metaclass
from BaseMesh import BaseRectangularMesh
from DiffOperators import DiffOperators
from InnerProducts import InnerProducts
from View import CurvView
# Some helper functions.
length2D = lambda x: (x[:, 0]**2 + x[:, 1]**2)**0.5
@@ -19,7 +11,7 @@ normalize2D = lambda x: x/np.kron(np.ones((1, 2)), Utils.mkvc(length2D(x), 2))
normalize3D = lambda x: x/np.kron(np.ones((1, 3)), Utils.mkvc(length3D(x), 2))
class CurvilinearMesh(with_metaclass(Utils.SimPEGMetaClass, type('NewBase', (BaseRectangularMesh, DiffOperators, InnerProducts, CurvView), {}))):
class CurvilinearMesh(BaseRectangularMesh, DiffOperators, InnerProducts, CurvView):
"""
CurvilinearMesh is a mesh class that deals with curvilinear meshes.
@@ -34,6 +26,8 @@ class CurvilinearMesh(with_metaclass(Utils.SimPEGMetaClass, type('NewBase', (Bas
M.plotGrid(showIt=True)
"""
__metaclass__ = Utils.SimPEGMetaClass
_meshType = 'Curv'
def __init__(self, nodes):
@@ -297,7 +291,7 @@ class CurvilinearMesh(with_metaclass(Utils.SimPEGMetaClass, type('NewBase', (Bas
normals = property(**normals())
def edge():
doc = "Edge lengths."
doc = "Edge legnths."
def fget(self):
if(self._edge is None or self._tangents is None):
@@ -351,4 +345,4 @@ if __name__ == '__main__':
X, Y = Utils.ndgrid(h1, h2, vector=False)
M = CurvilinearMesh([X, Y])
print(M.r(M.normals, 'F', 'Fx', 'V'))
print M.r(M.normals, 'F', 'Fx', 'V')
+10 -16
View File
@@ -1,16 +1,10 @@
from __future__ import print_function
from __future__ import absolute_import
from __future__ import division
from __future__ import unicode_literals
from future import standard_library
standard_library.install_aliases()
import numpy as np
import scipy.sparse as sp
from scipy.constants import pi
from SimPEG.Utils import mkvc, ndgrid, sdiag, kron3, speye, spzeros, ddx, av, avExtrap
from .TensorMesh import BaseTensorMesh, BaseRectangularMesh
from .InnerProducts import InnerProducts
from .View import CylView
from TensorMesh import BaseTensorMesh, BaseRectangularMesh
from InnerProducts import InnerProducts
from View import CylView
class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
@@ -37,7 +31,7 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
BaseTensorMesh.__init__(self, h, x0)
assert self.hy.sum() == 2*np.pi, "The 2nd dimension must sum to 2*pi"
if self.dim == 2:
print('Warning, a disk mesh has not been tested thoroughly.')
print 'Warning, a disk mesh has not been tested thoroughly.'
cartesianOrigin = np.zeros(self.dim) if cartesianOrigin is None else cartesianOrigin
assert len(cartesianOrigin) == self.dim, "cartesianOrigin must be the same length as the dimension of the mesh."
self.cartesianOrigin = np.array(cartesianOrigin, dtype=float)
@@ -74,8 +68,8 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
"""
Number of x-faces in each direction
:rtype: numpy.array
:return: vnFx, (dim, )
:rtype: numpy.array (dim, )
:return: vnFx
"""
return self.vnC
@@ -84,8 +78,8 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
"""
Number of y-edges in each direction
:rtype: numpy.array
:return: vnEy or None if dim < 2, (dim, )
:rtype: numpy.array (dim, )
:return: vnEy or None if dim < 2
"""
nNx = self.nNx if self.isSymmetric else self.nNx - 1
return np.r_[nNx, self.nCy, self.nNz]
@@ -95,8 +89,8 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
"""
Number of z-edges in each direction
:rtype: numpy.array
:return: vnEz or None if nCy > 1, (dim, )
:rtype: numpy.array (dim, )
:return: vnEz or None if nCy > 1
"""
if self.isSymmetric:
return np.r_[self.nNx, self.nNy, self.nCz]

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