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+1
-1
@@ -1,4 +1,4 @@
|
||||
[bumpversion]
|
||||
current_version = 0.1.10
|
||||
current_version = 0.1.12
|
||||
files = setup.py SimPEG/__init__.py docs/conf.py
|
||||
|
||||
|
||||
@@ -39,3 +39,5 @@ nosetests.xml
|
||||
*.sublime-workspace
|
||||
docs/_build/
|
||||
Makefile
|
||||
docs/warnings.txt
|
||||
.DS_Store
|
||||
|
||||
+28
-5
@@ -1,6 +1,7 @@
|
||||
language: python
|
||||
python:
|
||||
- 2.7
|
||||
- 3.4
|
||||
|
||||
sudo: false
|
||||
|
||||
@@ -24,18 +25,25 @@ 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:
|
||||
- if [ ${TRAVIS_PYTHON_VERSION:0:1} == "2" ]; then wget http://repo.continuum.io/miniconda/Miniconda-3.8.3-Linux-x86_64.sh -O miniconda.sh; else wget http://repo.continuum.io/miniconda/Miniconda3-3.8.3-Linux-x86_64.sh -O miniconda.sh; fi
|
||||
# Install packages
|
||||
- if [ ${TRAVIS_PYTHON_VERSION:0:1} == "2" ]; then wget http://repo.continuum.io/miniconda/Miniconda-3.8.3-Linux-x86_64.sh
|
||||
-O miniconda.sh; else wget http://repo.continuum.io/miniconda/Miniconda3-3.8.3-Linux-x86_64.sh
|
||||
-O miniconda.sh; fi
|
||||
- chmod +x miniconda.sh
|
||||
- ./miniconda.sh -b
|
||||
- export PATH=/home/travis/anaconda/bin:/home/travis/miniconda/bin:$PATH
|
||||
- export PATH=/home/travis/anaconda/bin:/home/travis/anaconda3/bin:/home/travis/miniconda/bin:/home/travis/miniconda3/bin:$PATH
|
||||
- conda update --yes conda
|
||||
|
||||
# Install packages
|
||||
install:
|
||||
- conda install --yes pip python=$TRAVIS_PYTHON_VERSION numpy scipy matplotlib cython ipython nose vtk
|
||||
- conda install --yes pip python=$TRAVIS_PYTHON_VERSION numpy scipy matplotlib cython ipython nose vtk sphinx
|
||||
- pip install nose-cov python-coveralls
|
||||
|
||||
- git clone https://github.com/rowanc1/pymatsolver.git
|
||||
@@ -46,11 +54,26 @@ install:
|
||||
|
||||
# Run test
|
||||
script:
|
||||
# test docs
|
||||
- nosetests $TEST_DIR --with-cov --cov SimPEG --cov-config .coveragerc -v -s
|
||||
|
||||
# Calculate coverage
|
||||
after_success:
|
||||
- coveralls --config_file .coveragerc
|
||||
- bash <(curl -s https://codecov.io/bash)
|
||||
- if [ "$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
|
||||
|
||||
|
||||
notifications:
|
||||
email:
|
||||
|
||||
+6
-2
@@ -1,4 +1,4 @@
|
||||
.. image:: https://raw.github.com/simpeg/simpeg/master/docs/simpeg-logo.png
|
||||
.. image:: https://raw.github.com/simpeg/simpeg/master/docs/images/simpeg-logo.png
|
||||
:alt: SimPEG Logo
|
||||
|
||||
======
|
||||
@@ -28,7 +28,11 @@ 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:
|
||||
|
||||
+11
-3
@@ -1,3 +1,11 @@
|
||||
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):
|
||||
@@ -61,7 +69,7 @@ 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
|
||||
@@ -162,8 +170,8 @@ class ProblemDC_CC(Problem.BaseProblem):
|
||||
"""
|
||||
Makes the matrix A(m) for the DC resistivity problem.
|
||||
|
||||
:param numpy.array m: model
|
||||
:rtype: scipy.csc_matrix
|
||||
:param numpy.ndarray m: model
|
||||
:rtype: scipy.sparse.csc_matrix
|
||||
:return: A(m)
|
||||
|
||||
.. math::
|
||||
|
||||
+10
-3
@@ -1,5 +1,12 @@
|
||||
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):
|
||||
"""
|
||||
@@ -52,7 +59,7 @@ 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
|
||||
@@ -71,7 +78,7 @@ class ProblemIP(Problem.BaseProblem):
|
||||
Makes the matrix A(m) for the DC resistivity problem.
|
||||
|
||||
:param numpy.array m: model
|
||||
:rtype: scipy.csc_matrix
|
||||
:rtype: scipy.sparse.csc_matrix
|
||||
:return: A(m)
|
||||
|
||||
.. math::
|
||||
|
||||
+31
-21
@@ -1,6 +1,16 @@
|
||||
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
|
||||
import BaseDC as DC
|
||||
import BaseDC as IP
|
||||
from . import BaseDC as DC
|
||||
from . import BaseDC as IP
|
||||
import warnings
|
||||
|
||||
def getActiveindfromTopo(mesh, topo):
|
||||
@@ -67,7 +77,7 @@ def readUBC_DC3Dobstopo(filename,mesh,topo,probType="CC"):
|
||||
if "!" in line.split(): continue
|
||||
elif line == '\n': continue
|
||||
elif line == ' \n': continue
|
||||
temp = map(float, line.split())
|
||||
temp = list(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
|
||||
@@ -228,10 +238,10 @@ 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
|
||||
|
||||
|
||||
@@ -246,11 +256,11 @@ 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)]
|
||||
@@ -340,11 +350,11 @@ 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(range(int(nstn)))*dl_x*AM_sep
|
||||
stn_y = endl[0,1] + np.array(range(int(nstn)))*dl_y*AM_sep
|
||||
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
|
||||
|
||||
# Create line of P1 locations
|
||||
M = np.c_[stn_x, stn_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
@@ -376,15 +386,15 @@ 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([np.floor( (AB - MN_sep) / AM_sep ) , nrx])
|
||||
nstn = np.min([(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(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
|
||||
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
|
||||
|
||||
# Create receiver poles
|
||||
# Create line of P1 locations
|
||||
@@ -419,15 +429,15 @@ 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 = np.floor( box_l / AM_sep )
|
||||
nstn = box_l // AM_sep
|
||||
|
||||
# Compute discrete pole location along line
|
||||
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
|
||||
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
|
||||
|
||||
# Define number of cross lines
|
||||
nlin = int(np.floor( box_w / AM_sep ))
|
||||
lind = range(-nlin,nlin+1)
|
||||
nlin = int(box_w // AM_sep)
|
||||
lind = list(range(-nlin,nlin+1))
|
||||
|
||||
ngrad = nstn * len(lind)
|
||||
|
||||
@@ -449,7 +459,7 @@ 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
|
||||
@@ -668,7 +678,7 @@ 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 = []
|
||||
|
||||
@@ -1,3 +1,10 @@
|
||||
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):
|
||||
@@ -5,7 +12,7 @@ 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):
|
||||
|
||||
+10
-4
@@ -1,4 +1,10 @@
|
||||
from BaseDC import *
|
||||
from BaseIP import *
|
||||
from DCIPUtils import *
|
||||
import Utils
|
||||
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
|
||||
|
||||
+13
-6
@@ -1,7 +1,16 @@
|
||||
import Utils, Survey, Problem, numpy as np, scipy.sparse as sp, gc
|
||||
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
|
||||
|
||||
|
||||
class BaseDataMisfit(object):
|
||||
class BaseDataMisfit(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
"""BaseDataMisfit
|
||||
|
||||
.. note::
|
||||
@@ -9,8 +18,6 @@ class BaseDataMisfit(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
|
||||
|
||||
@@ -93,11 +100,11 @@ 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))
|
||||
|
||||
+54
-30
@@ -1,4 +1,15 @@
|
||||
import Utils, numpy as np
|
||||
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
|
||||
|
||||
class InversionDirective(object):
|
||||
"""InversionDirective"""
|
||||
@@ -15,7 +26,7 @@ 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
|
||||
@@ -68,7 +79,7 @@ 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
|
||||
@@ -120,7 +131,7 @@ 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)
|
||||
@@ -141,7 +152,7 @@ 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
|
||||
|
||||
|
||||
@@ -167,7 +178,7 @@ class TargetMisfit(InversionDirective):
|
||||
|
||||
|
||||
|
||||
class _SaveEveryIteration(InversionDirective):
|
||||
class SaveEveryIteration(InversionDirective):
|
||||
@property
|
||||
def name(self):
|
||||
if getattr(self, '_name', None) is None:
|
||||
@@ -188,21 +199,21 @@ 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()
|
||||
@@ -212,11 +223,11 @@ class SaveOutputEveryIteration(_SaveEveryIteration):
|
||||
f.write(' %3d %1.4e %1.4e %1.4e %1.4e\n'%(self.opt.iter, self.invProb.beta, self.invProb.phi_d, self.invProb.phi_m, self.opt.f))
|
||||
f.close()
|
||||
|
||||
class SaveOutputDictEveryIteration(_SaveEveryIteration):
|
||||
class SaveOutputDictEveryIteration(SaveEveryIteration):
|
||||
"""SaveOutputDictEveryIteration"""
|
||||
|
||||
def initialize(self):
|
||||
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.
|
||||
@@ -253,8 +264,7 @@ class SaveOutputDictEveryIteration(_SaveEveryIteration):
|
||||
class Update_IRLS(InversionDirective):
|
||||
|
||||
eps_min = None
|
||||
eps_p = None
|
||||
eps_q = None
|
||||
eps = None
|
||||
norms = [2.,2.,2.,2.]
|
||||
factor = None
|
||||
gamma = None
|
||||
@@ -263,6 +273,7 @@ class Update_IRLS(InversionDirective):
|
||||
f_old = None
|
||||
f_min_change = 1e-2
|
||||
beta_tol = 5e-2
|
||||
prctile = 95
|
||||
|
||||
# Solving parameter for IRLS (mode:2)
|
||||
IRLSiter = 0
|
||||
@@ -294,12 +305,25 @@ 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
|
||||
print self.eps_p, self.eps_q, self.norms
|
||||
self.reg.eps_p = self.eps_p
|
||||
self.reg.eps_q = self.eps_q
|
||||
|
||||
# Either use the supplied epsilon, or fix base on distribution of
|
||||
# model values
|
||||
if getattr(self, '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))
|
||||
|
||||
self.reg.norms = self.norms
|
||||
self.coolingFactor = 1.
|
||||
self.coolingRate = 1
|
||||
@@ -315,7 +339,7 @@ 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
|
||||
|
||||
|
||||
@@ -327,30 +351,30 @@ 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
|
||||
|
||||
@@ -1,3 +1,10 @@
|
||||
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
|
||||
|
||||
@@ -1,4 +1,9 @@
|
||||
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
|
||||
|
||||
@@ -0,0 +1,307 @@
|
||||
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
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
@@ -1,3 +1,9 @@
|
||||
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
|
||||
@@ -34,7 +40,7 @@ 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.):
|
||||
|
||||
@@ -1,3 +1,9 @@
|
||||
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
|
||||
|
||||
@@ -1,4 +1,11 @@
|
||||
from TDEM import hzAnalyticDipoleT
|
||||
from FDEM import hzAnalyticDipoleF
|
||||
from FDEMcasing import *
|
||||
from DC import DCAnalyticHalf, DCAnalyticSphere
|
||||
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 *
|
||||
|
||||
+10
-3
@@ -1,3 +1,9 @@
|
||||
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
|
||||
|
||||
@@ -20,10 +26,10 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
Problem.BaseProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
|
||||
surveyPair = Survey.BaseSurvey
|
||||
dataPair = Survey.Data
|
||||
surveyPair = Survey.BaseSurvey #: The survey to pair with.
|
||||
dataPair = Survey.Data #: The data to pair with.
|
||||
|
||||
PropMap = EMPropMap
|
||||
PropMap = EMPropMap #: The property mapping
|
||||
|
||||
Solver = SimpegSolver
|
||||
solverOpts = {}
|
||||
@@ -217,6 +223,7 @@ class BaseEMSurvey(Survey.BaseSurvey):
|
||||
def eval(self, f):
|
||||
"""
|
||||
Project fields to receiver locations
|
||||
|
||||
:param Fields u: fields object
|
||||
:rtype: numpy.ndarray
|
||||
:return: data
|
||||
|
||||
@@ -1,3 +1,10 @@
|
||||
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
|
||||
@@ -6,11 +13,11 @@ from SimPEG.EM.Utils import omega
|
||||
from SimPEG.Utils import Zero, Identity, sdiag
|
||||
|
||||
|
||||
class Fields(SimPEG.Problem.Fields):
|
||||
class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
"""
|
||||
|
||||
Fancy Field Storage for a FDEM survey. Only one field type is stored for
|
||||
each problem, the rest are computed. The fields obejct acts like an array and is indexed by
|
||||
each problem, the rest are computed. The fields object acts like an array and is indexed by
|
||||
|
||||
.. code-block:: python
|
||||
|
||||
@@ -42,7 +49,7 @@ class Fields(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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting e from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
return self._ePrimary(solution,srcList) + self._eSecondary(solution,srcList)
|
||||
|
||||
@@ -56,24 +63,10 @@ class Fields(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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting b from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
return self._bPrimary(solution, srcList) + self._bSecondary(solution, srcList)
|
||||
|
||||
def _bSecondary(self, solution, srcList):
|
||||
"""
|
||||
Total magnetic flux density is sum of primary and secondary
|
||||
|
||||
:param numpy.ndarray solution: field we solved for
|
||||
:param list srcList: list of sources
|
||||
:rtype: numpy.ndarray
|
||||
:return: total magnetic flux density
|
||||
"""
|
||||
if getattr(self, '_bSecondary', None) is None:
|
||||
raise NotImplementedError ('Getting b from %s is not implemented' %self.knownFields.keys()[0])
|
||||
|
||||
return self._bSecondary(solution, srcList)
|
||||
|
||||
def _h(self, solution, srcList):
|
||||
"""
|
||||
Total magnetic field is sum of primary and secondary
|
||||
@@ -84,7 +77,7 @@ class Fields(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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting h from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
return self._hPrimary(solution, srcList) + self._hSecondary(solution, srcList)
|
||||
|
||||
@@ -98,7 +91,7 @@ class Fields(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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting j from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
return self._jPrimary(solution, srcList) + self._jSecondary(solution, srcList)
|
||||
|
||||
@@ -106,7 +99,7 @@ class Fields(SimPEG.Problem.Fields):
|
||||
"""
|
||||
Total derivative of e with respect to the inversion model. Returns :math:`d\mathbf{e}/d\mathbf{m}` for forward and (:math:`d\mathbf{e}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
|
||||
|
||||
:param Src src: sorce
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
|
||||
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
|
||||
:param numpy.ndarray v: vector to take sensitivity product with
|
||||
:param bool adjoint: adjoint?
|
||||
@@ -114,7 +107,7 @@ class Fields(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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._eDeriv_u(src, v, adjoint), self._eDeriv_m(src, v, adjoint)
|
||||
@@ -124,7 +117,7 @@ class Fields(SimPEG.Problem.Fields):
|
||||
"""
|
||||
Total derivative of b with respect to the inversion model. Returns :math:`d\mathbf{b}/d\mathbf{m}` for forward and (:math:`d\mathbf{b}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
|
||||
|
||||
:param Src src: sorce
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
|
||||
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
|
||||
:param numpy.ndarray v: vector to take sensitivity product with
|
||||
:param bool adjoint: adjoint?
|
||||
@@ -132,32 +125,17 @@ class Fields(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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting bDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._bDeriv_u(src, v, adjoint), self._bDeriv_m(src, v, adjoint)
|
||||
return np.array(self._bDeriv_u(src, du_dm_v, adjoint) + self._bDeriv_m(src, v, adjoint), dtype = complex)
|
||||
|
||||
def _bSecondaryDeriv(self, src, du_dm_v, v, adjoint = False):
|
||||
"""
|
||||
Total derivative of b with respect to the inversion model. Returns :math:`d\mathbf{b}/d\mathbf{m}` for forward and (:math:`d\mathbf{b}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
|
||||
|
||||
:param Src src: sorce
|
||||
:param 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?
|
||||
:rtype: numpy.ndarray
|
||||
:return: derivative times a vector (or tuple for adjoint)
|
||||
"""
|
||||
# TODO: modify when primary field is dependent on m
|
||||
|
||||
return self._bDeriv(src, du_dm_v, v, adjoint = adjoint)
|
||||
|
||||
def _hDeriv(self, src, du_dm_v, v, adjoint = False):
|
||||
"""
|
||||
Total derivative of h with respect to the inversion model. Returns :math:`d\mathbf{h}/d\mathbf{m}` for forward and (:math:`d\mathbf{h}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
|
||||
|
||||
:param Src src: sorce
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
|
||||
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
|
||||
:param numpy.ndarray v: vector to take sensitivity product with
|
||||
:param bool adjoint: adjoint?
|
||||
@@ -165,7 +143,7 @@ class Fields(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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting hDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._hDeriv_u(src, v, adjoint), self._hDeriv_m(src, v, adjoint)
|
||||
@@ -175,7 +153,7 @@ class Fields(SimPEG.Problem.Fields):
|
||||
"""
|
||||
Total derivative of j with respect to the inversion model. Returns :math:`d\mathbf{j}/d\mathbf{m}` for forward and (:math:`d\mathbf{j}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
|
||||
|
||||
:param Src src: sorce
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
|
||||
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
|
||||
:param numpy.ndarray v: vector to take sensitivity product with
|
||||
:param bool adjoint: adjoint?
|
||||
@@ -183,18 +161,18 @@ class Fields(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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %list(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(Fields):
|
||||
class Fields3D_e(FieldsFDEM):
|
||||
"""
|
||||
Fields object for Problem3D_e.
|
||||
|
||||
:param Mesh mesh: mesh
|
||||
:param Survey survey: survey
|
||||
:param BaseMesh mesh: mesh
|
||||
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
|
||||
"""
|
||||
|
||||
knownFields = {'eSolution':'E'}
|
||||
@@ -209,9 +187,6 @@ class Fields3D_e(Fields):
|
||||
'h' : ['eSolution','CCV','_h'],
|
||||
}
|
||||
|
||||
def __init__(self, mesh, survey, **kwargs):
|
||||
Fields.__init__(self, mesh, survey, **kwargs)
|
||||
|
||||
def startup(self):
|
||||
self.prob = self.survey.prob
|
||||
self._edgeCurl = self.survey.prob.mesh.edgeCurl
|
||||
@@ -317,7 +292,7 @@ class Fields3D_e(Fields):
|
||||
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
|
||||
@@ -377,7 +352,7 @@ class Fields3D_e(Fields):
|
||||
: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:
|
||||
@@ -414,8 +389,8 @@ class Fields3D_e(Fields):
|
||||
: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)))
|
||||
|
||||
@@ -429,7 +404,7 @@ class Fields3D_e(Fields):
|
||||
: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))
|
||||
@@ -446,7 +421,7 @@ class Fields3D_e(Fields):
|
||||
: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))
|
||||
@@ -455,12 +430,12 @@ class Fields3D_e(Fields):
|
||||
|
||||
|
||||
|
||||
class Fields3D_b(Fields):
|
||||
class Fields3D_b(FieldsFDEM):
|
||||
"""
|
||||
Fields object for Problem3D_b.
|
||||
|
||||
:param Mesh mesh: mesh
|
||||
:param Survey survey: survey
|
||||
:param BaseMesh mesh: mesh
|
||||
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
|
||||
"""
|
||||
|
||||
knownFields = {'bSolution':'F'}
|
||||
@@ -475,9 +450,6 @@ class Fields3D_b(Fields):
|
||||
'h' : ['bSolution','CCV','_h'],
|
||||
}
|
||||
|
||||
def __init__(self,mesh,survey,**kwargs):
|
||||
Fields.__init__(self,mesh,survey,**kwargs)
|
||||
|
||||
def startup(self):
|
||||
self.prob = self.survey.prob
|
||||
self._edgeCurl = self.survey.prob.mesh.edgeCurl
|
||||
@@ -500,8 +472,6 @@ class Fields3D_b(Fields):
|
||||
return 'E'
|
||||
elif fieldType == 'b':
|
||||
return 'F'
|
||||
elif fieldType == 'bSecondary':
|
||||
return 'F'
|
||||
elif (fieldType == 'h') or (fieldType == 'j'):
|
||||
return'CCV'
|
||||
else:
|
||||
@@ -644,7 +614,7 @@ class Fields3D_b(Fields):
|
||||
: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 ) ) )
|
||||
@@ -661,7 +631,7 @@ class Fields3D_b(Fields):
|
||||
: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) ) )
|
||||
@@ -689,7 +659,7 @@ class Fields3D_b(Fields):
|
||||
: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)))
|
||||
|
||||
@@ -704,7 +674,7 @@ class Fields3D_b(Fields):
|
||||
: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:
|
||||
@@ -724,12 +694,12 @@ class Fields3D_b(Fields):
|
||||
return Zero()
|
||||
|
||||
|
||||
class Fields3D_j(Fields):
|
||||
class Fields3D_j(FieldsFDEM):
|
||||
"""
|
||||
Fields object for Problem3D_j.
|
||||
|
||||
:param Mesh mesh: mesh
|
||||
:param Survey survey: survey
|
||||
:param BaseMesh mesh: mesh
|
||||
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
|
||||
"""
|
||||
|
||||
knownFields = {'jSolution':'F'}
|
||||
@@ -744,9 +714,6 @@ class Fields3D_j(Fields):
|
||||
'b' : ['jSolution','CCV','_b'],
|
||||
}
|
||||
|
||||
def __init__(self,mesh,survey,**kwargs):
|
||||
Fields.__init__(self,mesh,survey,**kwargs)
|
||||
|
||||
def startup(self):
|
||||
self.prob = self.survey.prob
|
||||
self._edgeCurl = self.survey.prob.mesh.edgeCurl
|
||||
@@ -930,7 +897,7 @@ class Fields3D_j(Fields):
|
||||
: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)))
|
||||
|
||||
@@ -944,7 +911,7 @@ class Fields3D_j(Fields):
|
||||
: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 ) )
|
||||
@@ -961,7 +928,7 @@ class Fields3D_j(Fields):
|
||||
: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 ) )
|
||||
@@ -976,7 +943,7 @@ class Fields3D_j(Fields):
|
||||
: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)) )
|
||||
@@ -991,7 +958,7 @@ class Fields3D_j(Fields):
|
||||
: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:
|
||||
@@ -1009,7 +976,7 @@ class Fields3D_j(Fields):
|
||||
: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)
|
||||
|
||||
@@ -1019,12 +986,12 @@ class Fields3D_j(Fields):
|
||||
return 1./(1j * omega(src.freq)) * VI * (self._aveE2CCV * ( s_mDeriv(v) - self._edgeCurl.T * ( self._MfRhoDeriv(jSolution) * v ) ) )
|
||||
|
||||
|
||||
class Fields3D_h(Fields):
|
||||
class Fields3D_h(FieldsFDEM):
|
||||
"""
|
||||
Fields object for Problem3D_h.
|
||||
|
||||
:param Mesh mesh: mesh
|
||||
:param Survey survey: survey
|
||||
:param BaseMesh mesh: mesh
|
||||
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
|
||||
"""
|
||||
|
||||
knownFields = {'hSolution':'E'}
|
||||
@@ -1039,9 +1006,6 @@ class Fields3D_h(Fields):
|
||||
'b' : ['hSolution','CCV','_b'],
|
||||
}
|
||||
|
||||
def __init__(self,mesh,survey,**kwargs):
|
||||
Fields.__init__(self,mesh,survey,**kwargs)
|
||||
|
||||
def startup(self):
|
||||
self.prob = self.survey.prob
|
||||
self._edgeCurl = self.survey.prob.mesh.edgeCurl
|
||||
@@ -1194,7 +1158,7 @@ class Fields3D_h(Fields):
|
||||
: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)))
|
||||
|
||||
@@ -1208,7 +1172,7 @@ class Fields3D_h(Fields):
|
||||
: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 ) ) )
|
||||
@@ -1225,7 +1189,7 @@ class Fields3D_h(Fields):
|
||||
: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) ) )
|
||||
@@ -1241,7 +1205,7 @@ class Fields3D_h(Fields):
|
||||
: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))
|
||||
@@ -1256,7 +1220,7 @@ class Fields3D_h(Fields):
|
||||
: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 ))
|
||||
|
||||
@@ -1,7 +1,13 @@
|
||||
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 Fields, Fields3D_e, Fields3D_b, Fields3D_h, Fields3D_j
|
||||
from .SurveyFDEM import Survey as SurveyFDEM
|
||||
from .FieldsFDEM import FieldsFDEM, Fields3D_e, Fields3D_b, Fields3D_h, Fields3D_j
|
||||
from SimPEG.EM.Base import BaseEMProblem
|
||||
from SimPEG.EM.Utils import omega
|
||||
|
||||
@@ -31,10 +37,11 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
if using the H-J formulation (:code:`Problem3D_j` or :code:`Problem3D_h`). Note that here, :math:`\mathbf{s_m}` is an integrated quantity.
|
||||
|
||||
The problem performs the elimination so that we are solving the system for \\\(\\\mathbf{e},\\\mathbf{b},\\\mathbf{j} \\\) or \\\(\\\mathbf{h}\\\)
|
||||
|
||||
"""
|
||||
|
||||
surveyPair = SurveyFDEM
|
||||
fieldsPair = Fields
|
||||
fieldsPair = FieldsFDEM
|
||||
|
||||
def fields(self, m):
|
||||
"""
|
||||
@@ -64,7 +71,7 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
|
||||
:param numpy.array m: inversion model (nP,)
|
||||
:param numpy.array v: vector which we take sensitivity product with (nP,)
|
||||
:param SimPEG.EM.FDEM.Fields u: fields object
|
||||
:param SimPEG.EM.FDEM.FieldsFDEM.FieldsFDEM u: fields object
|
||||
:rtype numpy.array:
|
||||
:return: Jv (ndata,)
|
||||
"""
|
||||
@@ -99,7 +106,7 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
|
||||
:param numpy.array m: inversion model (nP,)
|
||||
:param numpy.array v: vector which we take adjoint product with (nP,)
|
||||
:param SimPEG.EM.FDEM.Fields u: fields object
|
||||
:param SimPEG.EM.FDEM.FieldsFDEM.FieldsFDEM u: fields object
|
||||
:rtype numpy.array:
|
||||
:return: Jv (ndata,)
|
||||
"""
|
||||
@@ -153,8 +160,8 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
Evaluates the sources for a given frequency and puts them in matrix form
|
||||
|
||||
:param float freq: Frequency
|
||||
:rtype: (numpy.ndarray, numpy.ndarray)
|
||||
:return: s_m, s_e (nE or nF, nSrc)
|
||||
:rtype: tuple
|
||||
:return: (s_m, s_e) (nE or nF, nSrc)
|
||||
"""
|
||||
Srcs = self.survey.getSrcByFreq(freq)
|
||||
if self._formulation is 'EB':
|
||||
@@ -194,7 +201,7 @@ class Problem3D_e(BaseFDEMProblem):
|
||||
|
||||
which we solve for :math:`\mathbf{e}`.
|
||||
|
||||
:param SimPEG.Mesh mesh: mesh
|
||||
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
|
||||
"""
|
||||
|
||||
_solutionType = 'eSolution'
|
||||
@@ -269,7 +276,7 @@ class Problem3D_e(BaseFDEMProblem):
|
||||
Derivative of the right hand side with respect to the model
|
||||
|
||||
:param float freq: frequency
|
||||
:param SimPEG.EM.FDEM.Src src: FDEM source
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: numpy.ndarray
|
||||
@@ -305,7 +312,7 @@ class Problem3D_b(BaseFDEMProblem):
|
||||
.. note ::
|
||||
The inverse problem will not work with full anisotropy
|
||||
|
||||
:param SimPEG.Mesh mesh: mesh
|
||||
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
|
||||
"""
|
||||
|
||||
_solutionType = 'bSolution'
|
||||
@@ -400,7 +407,7 @@ class Problem3D_b(BaseFDEMProblem):
|
||||
Derivative of the right hand side with respect to the model
|
||||
|
||||
:param float freq: frequency
|
||||
:param SimPEG.EM.FDEM.Src src: FDEM source
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: numpy.ndarray
|
||||
@@ -444,6 +451,7 @@ class Problem3D_j(BaseFDEMProblem):
|
||||
|
||||
\mathbf{h} = \\frac{1}{i \omega} \mathbf{M_{\mu}^e}^{-1} \\left(-\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{j} + \mathbf{M^e} \mathbf{s_m} \\right)
|
||||
|
||||
|
||||
and solve for \\\(\\\mathbf{j}\\\) using
|
||||
|
||||
.. math ::
|
||||
@@ -453,7 +461,7 @@ class Problem3D_j(BaseFDEMProblem):
|
||||
.. note::
|
||||
This implementation does not yet work with full anisotropy!!
|
||||
|
||||
:param SimPEG.Mesh mesh: mesh
|
||||
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
|
||||
"""
|
||||
|
||||
_solutionType = 'jSolution'
|
||||
@@ -529,8 +537,8 @@ class Problem3D_j(BaseFDEMProblem):
|
||||
\mathbf{RHS} = \mathbf{C} \mathbf{M_{\mu}^e}^{-1}\mathbf{s_m} -i\omega \mathbf{s_e}
|
||||
|
||||
:param float freq: Frequency
|
||||
:rtype: numpy.ndarray (nE, nSrc)
|
||||
:return: RHS
|
||||
:rtype: numpy.ndarray
|
||||
:return: RHS (nE, nSrc)
|
||||
"""
|
||||
|
||||
s_m, s_e = self.getSourceTerm(freq)
|
||||
@@ -549,7 +557,7 @@ class Problem3D_j(BaseFDEMProblem):
|
||||
Derivative of the right hand side with respect to the model
|
||||
|
||||
:param float freq: frequency
|
||||
:param SimPEG.EM.FDEM.Src src: FDEM source
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: numpy.ndarray
|
||||
@@ -591,7 +599,7 @@ class Problem3D_h(BaseFDEMProblem):
|
||||
|
||||
\\left(\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{C} + i \omega \mathbf{M_{\mu}^e}\\right) \mathbf{h} = \mathbf{M^e} \mathbf{s_m} + \mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{s_e}
|
||||
|
||||
:param SimPEG.Mesh mesh: mesh
|
||||
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
|
||||
"""
|
||||
|
||||
_solutionType = 'hSolution'
|
||||
@@ -608,9 +616,11 @@ class Problem3D_h(BaseFDEMProblem):
|
||||
.. math::
|
||||
\mathbf{A} = \mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{C} + i \omega \mathbf{M_{\mu}^e}
|
||||
|
||||
|
||||
:param float freq: Frequency
|
||||
:rtype: scipy.sparse.csr_matrix
|
||||
:return: A
|
||||
|
||||
"""
|
||||
|
||||
MeMu = self.MeMu
|
||||
@@ -653,6 +663,7 @@ class Problem3D_h(BaseFDEMProblem):
|
||||
:param float freq: Frequency
|
||||
:rtype: numpy.ndarray
|
||||
:return: RHS (nE, nSrc)
|
||||
|
||||
"""
|
||||
|
||||
s_m, s_e = self.getSourceTerm(freq)
|
||||
@@ -666,7 +677,7 @@ class Problem3D_h(BaseFDEMProblem):
|
||||
Derivative of the right hand side with respect to the model
|
||||
|
||||
:param float freq: frequency
|
||||
:param SimPEG.EM.FDEM.Src src: FDEM source
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: numpy.ndarray
|
||||
|
||||
+12
-18
@@ -1,3 +1,10 @@
|
||||
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
|
||||
|
||||
@@ -25,10 +32,10 @@ class BaseRx(SimPEG.Survey.BaseRx):
|
||||
|
||||
def eval(self, src, mesh, f):
|
||||
"""
|
||||
Project fields to recievers to get data.
|
||||
Project fields to receivers to get data.
|
||||
|
||||
:param Source src: FDEM source
|
||||
:param Mesh mesh: mesh used
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
|
||||
:param BaseMesh mesh: mesh used
|
||||
:param Fields f: fields object
|
||||
:rtype: numpy.ndarray
|
||||
:return: fields projected to recievers
|
||||
@@ -44,8 +51,8 @@ class BaseRx(SimPEG.Survey.BaseRx):
|
||||
"""
|
||||
Derivative of projected fields with respect to the inversion model times a vector.
|
||||
|
||||
:param Source src: FDEM source
|
||||
:param Mesh mesh: mesh used
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
|
||||
:param BaseMesh mesh: mesh used
|
||||
:param Fields f: fields object
|
||||
:param numpy.ndarray v: vector to multiply
|
||||
:rtype: numpy.ndarray
|
||||
@@ -97,19 +104,6 @@ class Point_b(BaseRx):
|
||||
self.projField = 'b'
|
||||
super(Point_b, self).__init__(locs, orientation, component)
|
||||
|
||||
class Point_bSecondary(BaseRx):
|
||||
"""
|
||||
Magnetic flux FDEM receiver
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string orientation: receiver orientation 'x', 'y' or 'z'
|
||||
:param string component: real or imaginary component 'real' or 'imag'
|
||||
"""
|
||||
|
||||
def __init__(self, locs, orientation=None, component=None):
|
||||
self.projField = 'bSecondary'
|
||||
super(Point_bSecondary, self).__init__(locs, orientation, component)
|
||||
|
||||
|
||||
class Point_h(BaseRx):
|
||||
"""
|
||||
|
||||
+35
-29
@@ -1,3 +1,9 @@
|
||||
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 *
|
||||
@@ -23,8 +29,8 @@ class BaseSrc(Survey.BaseSrc):
|
||||
- :math:`s_m` : magnetic source term
|
||||
- :math:`s_e` : electric source term
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:rtype: (numpy.ndarray, numpy.ndarray)
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:rtype: tuple
|
||||
:return: tuple with magnetic source term and electric source term
|
||||
"""
|
||||
s_m = self.s_m(prob)
|
||||
@@ -37,10 +43,10 @@ class BaseSrc(Survey.BaseSrc):
|
||||
- :code:`s_mDeriv` : derivative of the magnetic source term
|
||||
- :code:`s_eDeriv` : derivative of the electric source term
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: (numpy.ndarray, numpy.ndarray)
|
||||
:rtype: tuple
|
||||
:return: tuple with magnetic source term and electric source term derivatives times a vector
|
||||
"""
|
||||
if v is not None:
|
||||
@@ -52,7 +58,7 @@ class BaseSrc(Survey.BaseSrc):
|
||||
"""
|
||||
Primary magnetic flux density
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic flux density
|
||||
"""
|
||||
@@ -64,7 +70,7 @@ class BaseSrc(Survey.BaseSrc):
|
||||
"""
|
||||
Primary magnetic field
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -76,7 +82,7 @@ class BaseSrc(Survey.BaseSrc):
|
||||
"""
|
||||
Primary electric field
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary electric field
|
||||
"""
|
||||
@@ -88,7 +94,7 @@ class BaseSrc(Survey.BaseSrc):
|
||||
"""
|
||||
Primary current density
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary current density
|
||||
"""
|
||||
@@ -100,7 +106,7 @@ class BaseSrc(Survey.BaseSrc):
|
||||
"""
|
||||
Magnetic source term
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: magnetic source term on mesh
|
||||
"""
|
||||
@@ -110,7 +116,7 @@ class BaseSrc(Survey.BaseSrc):
|
||||
"""
|
||||
Electric source term
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: electric source term on mesh
|
||||
"""
|
||||
@@ -120,7 +126,7 @@ class BaseSrc(Survey.BaseSrc):
|
||||
"""
|
||||
Derivative of magnetic source term with respect to the inversion model
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: numpy.ndarray
|
||||
@@ -133,7 +139,7 @@ class BaseSrc(Survey.BaseSrc):
|
||||
"""
|
||||
Derivative of electric source term with respect to the inversion model
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: numpy.ndarray
|
||||
@@ -162,7 +168,7 @@ class RawVec_e(BaseSrc):
|
||||
"""
|
||||
Electric source term
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: electric source term on mesh
|
||||
"""
|
||||
@@ -191,7 +197,7 @@ class RawVec_m(BaseSrc):
|
||||
"""
|
||||
Magnetic source term
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: magnetic source term on mesh
|
||||
"""
|
||||
@@ -220,7 +226,7 @@ class RawVec(BaseSrc):
|
||||
"""
|
||||
Magnetic source term
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: magnetic source term on mesh
|
||||
"""
|
||||
@@ -232,7 +238,7 @@ class RawVec(BaseSrc):
|
||||
"""
|
||||
Electric source term
|
||||
|
||||
:param Problem prob: FDEM Problem
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: electric source term on mesh
|
||||
"""
|
||||
@@ -301,7 +307,7 @@ class MagDipole(BaseSrc):
|
||||
"""
|
||||
The primary magnetic flux density from a magnetic vector potential
|
||||
|
||||
:param Problem prob: FDEM problem
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -339,7 +345,7 @@ class MagDipole(BaseSrc):
|
||||
"""
|
||||
The primary magnetic field from a magnetic vector potential
|
||||
|
||||
:param Problem prob: FDEM problem
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -350,7 +356,7 @@ class MagDipole(BaseSrc):
|
||||
"""
|
||||
The magnetic source term
|
||||
|
||||
:param Problem prob: FDEM problem
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -364,7 +370,7 @@ class MagDipole(BaseSrc):
|
||||
"""
|
||||
The electric source term
|
||||
|
||||
:param Problem prob: FDEM problem
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -416,7 +422,7 @@ class MagDipole_Bfield(BaseSrc):
|
||||
"""
|
||||
The primary magnetic flux density from the analytic solution for magnetic fields from a dipole
|
||||
|
||||
:param Problem prob: FDEM problem
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -455,7 +461,7 @@ class MagDipole_Bfield(BaseSrc):
|
||||
"""
|
||||
The primary magnetic field from a magnetic vector potential
|
||||
|
||||
:param Problem prob: FDEM problem
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -466,7 +472,7 @@ class MagDipole_Bfield(BaseSrc):
|
||||
"""
|
||||
The magnetic source term
|
||||
|
||||
:param Problem prob: FDEM problem
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -479,7 +485,7 @@ class MagDipole_Bfield(BaseSrc):
|
||||
"""
|
||||
The electric source term
|
||||
|
||||
:param Problem prob: FDEM problem
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -530,7 +536,7 @@ class CircularLoop(BaseSrc):
|
||||
"""
|
||||
The primary magnetic flux density from a magnetic vector potential
|
||||
|
||||
:param Problem prob: FDEM problem
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -555,7 +561,7 @@ class CircularLoop(BaseSrc):
|
||||
a = MagneticLoopVectorPotential(self.loc, gridY, 'y', moment=self.radius, mu=self.mu)
|
||||
|
||||
else:
|
||||
srcfct = MagneticLoopVectorPotential
|
||||
srcfct = MagneticDipoleVectorPotential
|
||||
ax = srcfct(self.loc, gridX, 'x', self.radius, mu=self.mu)
|
||||
ay = srcfct(self.loc, gridY, 'y', self.radius, mu=self.mu)
|
||||
az = srcfct(self.loc, gridZ, 'z', self.radius, mu=self.mu)
|
||||
@@ -567,7 +573,7 @@ class CircularLoop(BaseSrc):
|
||||
"""
|
||||
The primary magnetic field from a magnetic vector potential
|
||||
|
||||
:param Problem prob: FDEM problem
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -578,7 +584,7 @@ class CircularLoop(BaseSrc):
|
||||
"""
|
||||
The magnetic source term
|
||||
|
||||
:param Problem prob: FDEM problem
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -591,7 +597,7 @@ class CircularLoop(BaseSrc):
|
||||
"""
|
||||
The electric source term
|
||||
|
||||
:param Problem prob: FDEM problem
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
|
||||
@@ -1,10 +1,16 @@
|
||||
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
|
||||
import SrcFDEM as Src
|
||||
import RxFDEM as Rx
|
||||
from . import SrcFDEM as Src
|
||||
from . import RxFDEM as Rx
|
||||
from SimPEG import sp
|
||||
|
||||
class Survey(BaseEMSurvey):
|
||||
|
||||
@@ -1,5 +1,11 @@
|
||||
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
|
||||
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
|
||||
|
||||
@@ -1,3 +1,9 @@
|
||||
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):
|
||||
|
||||
@@ -1,3 +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()
|
||||
import SimPEG
|
||||
from SimPEG.Utils import Identity, Zero
|
||||
import numpy as np
|
||||
@@ -9,7 +15,7 @@ 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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting phiDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._phiDeriv_u(src, v, adjoint=adjoint), self._phiDeriv_m(src, v, adjoint=adjoint)
|
||||
@@ -18,7 +24,7 @@ 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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._eDeriv_u(src, v, adjoint), self._eDeriv_m(src, v, adjoint)
|
||||
@@ -26,7 +32,7 @@ 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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._jDeriv_u(src, v, adjoint), self._jDeriv_m(src, v, adjoint)
|
||||
|
||||
@@ -1,3 +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()
|
||||
import SimPEG
|
||||
from SimPEG.Utils import Identity, Zero
|
||||
import numpy as np
|
||||
@@ -32,7 +38,7 @@ 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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting phiDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._phiDeriv_u(kyInd, src, v, adjoint=adjoint), self._phiDeriv_m(kyInd, src, v, adjoint=adjoint)
|
||||
@@ -41,7 +47,7 @@ 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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._eDeriv_u(kyInd, src, v, adjoint), self._eDeriv_m(kyInd, src, v, adjoint)
|
||||
@@ -49,7 +55,7 @@ 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' %self.knownFields.keys()[0])
|
||||
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._jDeriv_u(kyInd, src, v, adjoint), self._jDeriv_m(kyInd, src, v, adjoint)
|
||||
|
||||
@@ -1,11 +1,17 @@
|
||||
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):
|
||||
|
||||
|
||||
@@ -1,11 +1,18 @@
|
||||
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):
|
||||
|
||||
|
||||
@@ -1,3 +1,10 @@
|
||||
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
|
||||
|
||||
@@ -1,3 +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()
|
||||
import SimPEG
|
||||
# from SimPEG.EM.Base import BaseEMSurvey
|
||||
from SimPEG.Utils import Zero, closestPoints, mkvc
|
||||
|
||||
@@ -1,9 +1,15 @@
|
||||
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
|
||||
|
||||
@@ -1,3 +1,10 @@
|
||||
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):
|
||||
|
||||
@@ -1,8 +1,14 @@
|
||||
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
|
||||
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
|
||||
|
||||
@@ -1,3 +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()
|
||||
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
|
||||
@@ -5,7 +11,7 @@ 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):
|
||||
"""
|
||||
|
||||
@@ -1,3 +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()
|
||||
import SimPEG
|
||||
from SimPEG.EM.Base import BaseEMSurvey
|
||||
from SimPEG import sp, Survey
|
||||
|
||||
@@ -1,2 +1,8 @@
|
||||
from ProblemIP import Problem3D_CC, Problem3D_N
|
||||
from SurveyIP import Survey
|
||||
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
|
||||
|
||||
@@ -1,3 +1,11 @@
|
||||
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
|
||||
@@ -5,7 +13,7 @@ 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):
|
||||
"""
|
||||
@@ -105,7 +113,7 @@ class BaseSIPProblem(BaseEMProblem):
|
||||
JvAll = []
|
||||
#Assume only eta and tau (eta first then tau)
|
||||
# v = [2*Mx1]
|
||||
v = v.reshape((int(v.size/2), 2), order='F')
|
||||
v = v.reshape((v.size//2), 2), order='F')
|
||||
|
||||
for tind in range(len(self.survey.times)):
|
||||
t = self.survey.times[tind]
|
||||
|
||||
@@ -1,3 +1,10 @@
|
||||
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
|
||||
|
||||
|
||||
@@ -1,3 +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()
|
||||
import SimPEG
|
||||
import numpy as np
|
||||
from SimPEG.Utils import Zero, closestPoints
|
||||
|
||||
@@ -1,3 +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()
|
||||
import SimPEG
|
||||
# from SimPEG.EM.Base import BaseEMSurvey
|
||||
from SimPEG.Utils import Zero, closestPoints, mkvc
|
||||
|
||||
@@ -1,3 +1,10 @@
|
||||
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
|
||||
|
||||
@@ -1,5 +1,11 @@
|
||||
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
|
||||
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
|
||||
|
||||
@@ -1,3 +1,11 @@
|
||||
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
|
||||
|
||||
@@ -85,10 +93,10 @@ 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
|
||||
|
||||
|
||||
@@ -103,7 +111,7 @@ 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
|
||||
|
||||
|
||||
@@ -184,14 +192,14 @@ 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(range(int(nstn)))*dl_x*a
|
||||
stn_y = endl[0,1] + np.array(range(int(nstn)))*dl_y*a
|
||||
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
|
||||
|
||||
if mesh.dim==2:
|
||||
ztop = mesh.vectorNy[-1]
|
||||
@@ -230,15 +238,15 @@ 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([np.floor( (AB - b) / a ) , n])
|
||||
nstn = np.min([(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(range(int(nstn)))*dl_x*a
|
||||
stn_y = N[ii,1] + dl_y*b + np.array(range(int(nstn)))*dl_y*a
|
||||
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
|
||||
|
||||
# Create receiver poles
|
||||
|
||||
@@ -275,17 +283,17 @@ 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(range(int(nstn)))*dl_x*a
|
||||
stn_y = min_y + np.array(range(int(nstn)))*dl_y*a
|
||||
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
|
||||
|
||||
# Define number of cross lines
|
||||
nlin = int(np.floor( box_w / a ))
|
||||
lind = range(-nlin,nlin+1)
|
||||
nlin = int(box_w // a)
|
||||
lind = list(range(-nlin,nlin+1))
|
||||
|
||||
ngrad = nstn * len(lind)
|
||||
|
||||
@@ -310,7 +318,7 @@ 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 +1,7 @@
|
||||
from StaticUtils import *
|
||||
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 *
|
||||
|
||||
@@ -1,3 +1,9 @@
|
||||
import DC
|
||||
import IP
|
||||
import SIP
|
||||
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
|
||||
|
||||
@@ -1,3 +1,10 @@
|
||||
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 *
|
||||
@@ -47,7 +54,7 @@ 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)
|
||||
@@ -55,7 +62,7 @@ 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):
|
||||
@@ -70,13 +77,13 @@ 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
|
||||
@@ -95,13 +102,13 @@ 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
|
||||
@@ -112,7 +119,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param numpy.ndarray v: vector (model object)
|
||||
:param simpegEM.TDEM.FieldsTDEM f: Fields resulting from m
|
||||
:param FieldsTDEM f: Fields resulting from m
|
||||
:rtype: numpy.ndarray
|
||||
:return: w (data object)
|
||||
|
||||
@@ -123,21 +130,21 @@ 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,SimPEG.Survey.Data v: vector (data object)
|
||||
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m
|
||||
:param numpy.ndarray v: vector (or a :class:`SimPEG.Survey.Data` object)
|
||||
:param FieldsTDEM u: Fields resulting from m
|
||||
:rtype: numpy.ndarray
|
||||
:return: w (model object)
|
||||
|
||||
@@ -148,7 +155,7 @@ 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)
|
||||
@@ -159,6 +166,6 @@ 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)
|
||||
|
||||
@@ -1,142 +0,0 @@
|
||||
import numpy as np
|
||||
import scipy.sparse as sp
|
||||
import SimPEG
|
||||
from SimPEG import Utils
|
||||
from SimPEG.EM.Utils import omega
|
||||
from SimPEG.Utils import Zero, Identity
|
||||
|
||||
class Fields(SimPEG.Problem.TimeFields):
|
||||
"""
|
||||
|
||||
Fancy Field Storage for a TDEM survey. Only one field type is stored for
|
||||
each problem, the rest are computed. The fields obejct acts like an array and is indexed by
|
||||
|
||||
.. code-block:: python
|
||||
|
||||
f = problem.fields(m)
|
||||
e = f[srcList,'e']
|
||||
b = f[srcList,'b']
|
||||
|
||||
If accessing all sources for a given field, use the :code:`:`
|
||||
|
||||
.. code-block:: python
|
||||
|
||||
f = problem.fields(m)
|
||||
e = f[:,'e']
|
||||
b = f[:,'b']
|
||||
|
||||
The array returned will be size (nE or nF, nSrcs :math:`\\times` nFrequencies)
|
||||
"""
|
||||
|
||||
knownFields = {}
|
||||
dtype = float
|
||||
|
||||
def _eDeriv(self, tInd, src, dun_dm_v, v, adjoint=False):
|
||||
if adjoint is True:
|
||||
return self._eDeriv_u(tInd, src, v, adjoint), self._eDeriv_m(tInd, src, v, adjoint)
|
||||
return self._eDeriv_u(tInd, src, dun_dm_v) + self._eDeriv_m(tInd, src, v)
|
||||
|
||||
def _bDeriv(self, tInd, src, dun_dm_v, v, adjoint=False):
|
||||
if adjoint is True:
|
||||
return self._bDeriv_u(tInd, src, v, adjoint), self._bDeriv_m(tInd, src, v, adjoint)
|
||||
return self._bDeriv_u(tInd, src, dun_dm_v) + self._bDeriv_m(tInd, src, v)
|
||||
|
||||
class Fields_Derivs(Fields):
|
||||
knownFields = {
|
||||
'bDeriv': 'F',
|
||||
'eDeriv': 'E',
|
||||
'hDeriv': 'E',
|
||||
'jDeriv': 'F'
|
||||
}
|
||||
|
||||
|
||||
class Fields_b(Fields):
|
||||
"""Fancy Field Storage for a TDEM survey."""
|
||||
knownFields = {'bSolution': 'F'}
|
||||
aliasFields = {
|
||||
'b': ['bSolution', 'F', '_b'],
|
||||
'e': ['bSolution', 'E', '_e'],
|
||||
}
|
||||
|
||||
def startup(self):
|
||||
self.MeSigmaI = self.survey.prob.MeSigmaI
|
||||
self.MeSigmaIDeriv = self.survey.prob.MeSigmaIDeriv
|
||||
self.edgeCurl = self.survey.prob.mesh.edgeCurl
|
||||
self.MfMui = self.survey.prob.MfMui
|
||||
|
||||
def _b(self, bSolution, srcList, tInd):
|
||||
return bSolution
|
||||
|
||||
def _bDeriv_u(self, tInd, src, dun_dm_v, adjoint=False):
|
||||
return Identity()*dun_dm_v
|
||||
|
||||
def _bDeriv_m(self, tInd, src, v, adjoint=False):
|
||||
return Zero()
|
||||
|
||||
# def _bDeriv(self, tInd, src, dun_dm_v, v, adjoint=False):
|
||||
# if adjoint is True:
|
||||
# return self._bDeriv_u(tInd, src, v, adjoint), self._bDeriv_m(tInd, src, v, adjoint)
|
||||
# return self._bDeriv_u(tInd, src, dun_dm_v) + self._bDeriv_m(tInd, src, v)
|
||||
|
||||
def _e(self, bSolution, srcList, tInd):
|
||||
e = self.MeSigmaI * ( self.edgeCurl.T * ( self.MfMui * bSolution ) )
|
||||
for i, src in enumerate(srcList):
|
||||
_, S_e = src.eval(self.survey.prob, self.survey.prob.times[tInd])
|
||||
e[:,i] = e[:,i] - self.MeSigmaI * S_e
|
||||
return e
|
||||
|
||||
def _eDeriv_u(self, tInd, src, dun_dm_v, adjoint = False):
|
||||
if adjoint is True:
|
||||
return self.MfMui.T * ( self.edgeCurl * ( self.MeSigmaI.T * dun_dm_v ) )
|
||||
return self.MeSigmaI * ( self.edgeCurl.T * ( self.MfMui * dun_dm_v ) )
|
||||
|
||||
def _eDeriv_m(self, tInd, src, v, adjoint = False):
|
||||
_, S_e = src.eval(self.survey.prob, self.survey.prob.times[tInd])
|
||||
bSolution = self[[src],'bSolution',tInd]
|
||||
|
||||
_, S_eDeriv = src.evalDeriv(self.survey.prob.times[tInd], self, adjoint=adjoint)
|
||||
|
||||
if adjoint is True:
|
||||
return self.MeSigmaIDeriv(-S_e + self.edgeCurl.T * ( self.MfMui * bSolution ) ).T * v - S_eDeriv(self.MeSigmaI.T * v)
|
||||
|
||||
return self.MeSigmaIDeriv(-S_e + self.edgeCurl.T * ( self.MfMui * bSolution)) * v - self.MeSigmaI * S_eDeriv(v)
|
||||
|
||||
|
||||
|
||||
class Fields_e(Fields):
|
||||
"""Fancy Field Storage for a TDEM survey."""
|
||||
knownFields = {'eSolution': 'E'}
|
||||
aliasFields = {
|
||||
'e': ['eSolution', 'E', '_e'],
|
||||
'b': ['eSolution', 'F', '_b'],
|
||||
}
|
||||
|
||||
def startup(self):
|
||||
self.MeSigmaI = self.survey.prob.MeSigmaI
|
||||
self.MeSigmaIDeriv = self.survey.prob.MeSigmaIDeriv
|
||||
self.edgeCurl = self.survey.prob.mesh.edgeCurl
|
||||
self.MfMui = self.survey.prob.MfMui
|
||||
|
||||
|
||||
def _e(self, eSolution, srcList, tInd):
|
||||
return eSolution
|
||||
|
||||
def _eDeriv_u(self, tInd, src, dun_dm_v, adjoint = False):
|
||||
return dun_dm_v
|
||||
|
||||
def _eDeriv_m(self, tInd, src, v, adjoint = False):
|
||||
return Zero()
|
||||
|
||||
def _b(self, eSolution, srcList, tInd):
|
||||
raise NotImplementedError
|
||||
|
||||
def _bDeriv_u(self, tInd, src, dun_dm_v, adjoint=False):
|
||||
raise NotImplementedError
|
||||
|
||||
def _bDeriv_m(self, tInd, src, v, adjoint=False):
|
||||
raise NotImplementedError
|
||||
|
||||
# def _bDeriv(self, tInd, src, dun_dm_v, v, adjoint=False):
|
||||
# if adjoint is True:
|
||||
# return self._bDeriv_u(tInd, src, v, adjoint), self._bDeriv_m(tInd, src, v, adjoint)
|
||||
# return self._bDeriv_u(tInd, src, dun_dm_v) + self._bDeriv_m(tInd, src, v)
|
||||
@@ -1,246 +0,0 @@
|
||||
import SimPEG
|
||||
from SimPEG import np, Utils
|
||||
from SimPEG.Utils import Zero, Identity
|
||||
from scipy.constants import mu_0
|
||||
from SimPEG.EM.Utils import *
|
||||
|
||||
####################################################
|
||||
# Sources
|
||||
####################################################
|
||||
|
||||
class BaseWaveform(object):
|
||||
|
||||
def __init__(self, offTime=0., hasInitialFields=False):
|
||||
self.offTime = offTime
|
||||
self.hasInitialFields = hasInitialFields
|
||||
|
||||
def _assertMatchesPair(self, pair):
|
||||
assert (isinstance(self, pair)
|
||||
), "Waveform object must be an instance of a %s BaseWaveform class."%(pair.__name__)
|
||||
|
||||
def eval(self, time):
|
||||
raise NotImplementedError
|
||||
|
||||
def evalDeriv(self, time):
|
||||
raise NotImplementedError # needed for E-formulation
|
||||
|
||||
|
||||
class StepOffWaveform(BaseWaveform):
|
||||
|
||||
def __init__(self, offTime=0.):
|
||||
BaseWaveform.__init__(self, offTime, hasInitialFields=True)
|
||||
|
||||
def eval(self, time):
|
||||
return 0.
|
||||
|
||||
|
||||
class RawWaveform(BaseWaveform):
|
||||
|
||||
def __init__(self, offTime=0.):
|
||||
BaseWaveform.__init__(self, offTime, hasInitialFields=True)
|
||||
|
||||
def eval(self, time):
|
||||
raise NotImplementedError('RawWaveform has not been implemented, you should write it!')
|
||||
|
||||
|
||||
class TriangularWaveform(BaseWaveform):
|
||||
|
||||
def __init__(self, offTime=0.):
|
||||
BaseWaveform.__init__(self, offTime, hasInitialFields=True)
|
||||
|
||||
def eval(self, time):
|
||||
raise NotImplementedError('TriangularWaveform has not been implemented, you should write it!')
|
||||
|
||||
|
||||
|
||||
class BaseSrc(SimPEG.Survey.BaseSrc):
|
||||
|
||||
# rxPair = Rx
|
||||
integrate = True
|
||||
waveformPair = BaseWaveform
|
||||
|
||||
@property
|
||||
def waveform(self):
|
||||
"A waveform instance is not None"
|
||||
return getattr(self, '_waveform', None)
|
||||
@waveform.setter
|
||||
def waveform(self, val):
|
||||
if self.waveform is None:
|
||||
val._assertMatchesPair(self.waveformPair)
|
||||
self._mapping = val
|
||||
else:
|
||||
self._mapping = self.PropMap(val)
|
||||
|
||||
|
||||
def __init__(self, rxList, waveform = StepOffWaveform(), **kwargs):
|
||||
self.waveform = waveform
|
||||
SimPEG.Survey.BaseSrc.__init__(self, rxList, **kwargs)
|
||||
|
||||
|
||||
def bInitial(self, prob):
|
||||
return Zero()
|
||||
|
||||
def bInitialDeriv(self, prob, v=None, adjoint=False):
|
||||
return Zero()
|
||||
|
||||
def eInitial(self, prob):
|
||||
return Zero()
|
||||
|
||||
def eInitialDeriv(self, prob, v=None, adjoint=False):
|
||||
return Zero()
|
||||
|
||||
def eval(self, prob, time):
|
||||
S_m = self.S_m(prob, time)
|
||||
S_e = self.S_e(prob, time)
|
||||
return S_m, S_e
|
||||
|
||||
def evalDeriv(self, prob, time, v=None, adjoint=False):
|
||||
if v is not None:
|
||||
return self.S_mDeriv(prob, time, v, adjoint), self.S_eDeriv(prob, time, v, adjoint)
|
||||
else:
|
||||
return lambda v: self.S_mDeriv(prob, time, v, adjoint), lambda v: self.S_eDeriv(prob, time, v, adjoint)
|
||||
|
||||
def S_m(self, prob, time):
|
||||
return Zero()
|
||||
|
||||
def S_e(self, prob, time):
|
||||
return Zero()
|
||||
|
||||
def S_mDeriv(self, prob, time, v=None, adjoint=False):
|
||||
return Zero()
|
||||
|
||||
def S_eDeriv(self, prob, time, v=None, adjoint=False):
|
||||
return Zero()
|
||||
|
||||
|
||||
class MagDipole(BaseSrc):
|
||||
|
||||
waveform = None
|
||||
loc = None
|
||||
orientation = 'Z'
|
||||
moment = 1.
|
||||
mu = mu_0
|
||||
|
||||
def __init__(self, rxList, **kwargs):
|
||||
assert self.orientation in ['X','Y','Z'], "Orientation (right now) doesn't actually do anything! The methods in SrcUtils should take care of this..."
|
||||
self.integrate = False
|
||||
BaseSrc.__init__(self, rxList, **kwargs)
|
||||
|
||||
def _bfromVectorPotential(self, prob):
|
||||
if prob._eqLocs is 'FE':
|
||||
gridX = prob.mesh.gridEx
|
||||
gridY = prob.mesh.gridEy
|
||||
gridZ = prob.mesh.gridEz
|
||||
C = prob.mesh.edgeCurl
|
||||
|
||||
elif prob._eqLocs is 'EF':
|
||||
gridX = prob.mesh.gridFx
|
||||
gridY = prob.mesh.gridFy
|
||||
gridZ = prob.mesh.gridFz
|
||||
C = prob.mesh.edgeCurl.T
|
||||
|
||||
|
||||
if prob.mesh._meshType is 'CYL':
|
||||
if not prob.mesh.isSymmetric:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
a = MagneticDipoleVectorPotential(self.loc, gridY, 'y', mu=self.mu, moment=self.moment)
|
||||
|
||||
else:
|
||||
srcfct = MagneticDipoleVectorPotential
|
||||
ax = srcfct(self.loc, gridX, 'x', mu=self.mu, moment=self.moment)
|
||||
ay = srcfct(self.loc, gridY, 'y', mu=self.mu, moment=self.moment)
|
||||
az = srcfct(self.loc, gridZ, 'z', mu=self.mu, moment=self.moment)
|
||||
a = np.concatenate((ax, ay, az))
|
||||
|
||||
return C*a
|
||||
|
||||
|
||||
def bInitial(self, prob):
|
||||
|
||||
if self.waveform.hasInitialFields is False:
|
||||
return Zero()
|
||||
|
||||
return self._bfromVectorPotential(prob)
|
||||
|
||||
def eInitial(self, prob):
|
||||
|
||||
if self.waveform.hasInitialFields is False:
|
||||
return Zero()
|
||||
|
||||
b = self.bInitial(prob)
|
||||
MeSigmaI = prob.MeSigmaI
|
||||
MfMui = prob.MfMui
|
||||
C = prob.mesh.edgeCurl
|
||||
|
||||
return MeSigmaI * (C.T * (MfMui * b))
|
||||
|
||||
def eInitialDeriv(self, prob, v=None, adjoint=False):
|
||||
|
||||
if self.waveform.hasInitialFields is False:
|
||||
return Zero()
|
||||
|
||||
b = self.bInitial(prob)
|
||||
MeSigmaIDeriv = prob.MeSigmaIDeriv
|
||||
MfMui = prob.MfMui
|
||||
C = prob.mesh.edgeCurl
|
||||
S_e = self.S_e(prob, prob.t0)
|
||||
|
||||
# S_e doesn't depend on the model
|
||||
|
||||
if adjoint:
|
||||
return MeSigmaIDeriv( -S_e + C.T * ( MfMui * b ) ).T * v
|
||||
|
||||
return MeSigmaIDeriv( -S_e + C.T * ( MfMui * b ) ) * v
|
||||
|
||||
|
||||
def S_m(self, prob, time):
|
||||
if self.waveform.hasInitialFields is False:
|
||||
raise NotImplementedError
|
||||
return Zero()
|
||||
|
||||
def S_e(self, prob, time):
|
||||
if self.waveform.hasInitialFields is False:
|
||||
raise NotImplementedError
|
||||
return Zero()
|
||||
|
||||
class CircularLoop(MagDipole):
|
||||
|
||||
waveform = None
|
||||
loc = None
|
||||
orientation = 'Z'
|
||||
radius = None
|
||||
mu = mu_0
|
||||
|
||||
def __init__(self, rxList, **kwargs):
|
||||
assert self.orientation in ['X','Y','Z'], "Orientation (right now) doesn't actually do anything! The methods in SrcUtils should take care of this..."
|
||||
self.integrate = False
|
||||
BaseSrc.__init__(self, rxList, **kwargs)
|
||||
|
||||
def _bfromVectorPotential(self, prob):
|
||||
if prob._eqLocs is 'FE':
|
||||
gridX = prob.mesh.gridEx
|
||||
gridY = prob.mesh.gridEy
|
||||
gridZ = prob.mesh.gridEz
|
||||
C = prob.mesh.edgeCurl
|
||||
|
||||
elif prob._eqLocs is 'EF':
|
||||
gridX = prob.mesh.gridFx
|
||||
gridY = prob.mesh.gridFy
|
||||
gridZ = prob.mesh.gridFz
|
||||
C = prob.mesh.edgeCurl.T
|
||||
|
||||
|
||||
if prob.mesh._meshType is 'CYL':
|
||||
if not prob.mesh.isSymmetric:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
a = MagneticLoopVectorPotential(self.loc, gridY, 'y', radius=self.radius, mu=self.mu)
|
||||
|
||||
else:
|
||||
srcfct = MagneticLoopVectorPotential
|
||||
ax = srcfct(self.loc, gridX, 'x', mu=self.mu, radius=self.radius)
|
||||
ay = srcfct(self.loc, gridY, 'y', mu=self.mu, radius=self.radius)
|
||||
az = srcfct(self.loc, gridZ, 'z', mu=self.mu, radius=self.radius)
|
||||
a = np.concatenate((ax, ay, az))
|
||||
|
||||
return C*a
|
||||
|
||||
+129
-45
@@ -1,16 +1,16 @@
|
||||
import SimPEG
|
||||
from SimPEG import np, Utils
|
||||
from SimPEG.Utils import Zero, Identity
|
||||
from scipy.constants import mu_0
|
||||
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 *
|
||||
import SrcTDEM as Src
|
||||
from .BaseTDEM import FieldsTDEM
|
||||
|
||||
|
||||
####################################################
|
||||
# Receivers
|
||||
####################################################
|
||||
|
||||
class Rx(SimPEG.Survey.BaseTimeRx):
|
||||
class RxTDEM(Survey.BaseTimeRx):
|
||||
|
||||
knownRxTypes = {
|
||||
'ex':['e', 'Ex', 'N'],
|
||||
@@ -27,7 +27,7 @@ class Rx(SimPEG.Survey.BaseTimeRx):
|
||||
}
|
||||
|
||||
def __init__(self, locs, times, rxType):
|
||||
SimPEG.Survey.BaseTimeRx.__init__(self, locs, times, rxType)
|
||||
Survey.BaseTimeRx.__init__(self, locs, times, rxType)
|
||||
|
||||
@property
|
||||
def projField(self):
|
||||
@@ -62,60 +62,144 @@ class Rx(SimPEG.Survey.BaseTimeRx):
|
||||
u_part = Utils.mkvc(u[src, self.projField, :])
|
||||
return P*u_part
|
||||
|
||||
def evalDeriv(self, src, mesh, timeMesh, v, adjoint=False):
|
||||
def evalDeriv(self, src, mesh, timeMesh, u, v, adjoint=False):
|
||||
P = self.getP(mesh, timeMesh)
|
||||
|
||||
if not adjoint:
|
||||
return P * v #Utils.mkvc(v[src, self.projField+'Deriv', :])
|
||||
return P * Utils.mkvc(v[src, self.projField, :])
|
||||
elif adjoint:
|
||||
# dP_dF_T = P.T * v #[src, self]
|
||||
# newshape = (len(dP_dF_T)/timeMesh.nN, timeMesh.nN )
|
||||
return P.T * v #np.reshape(dP_dF_T, newshape, order='F')
|
||||
return P.T * v[src, self]
|
||||
|
||||
|
||||
####################################################
|
||||
# Survey
|
||||
####################################################
|
||||
class SrcTDEM(Survey.BaseSrc):
|
||||
rxPair = RxTDEM
|
||||
radius = None
|
||||
|
||||
class Survey(SimPEG.Survey.BaseSurvey):
|
||||
def getInitialFields(self, mesh):
|
||||
F0 = getattr(self, '_getInitialFields_' + self.srcType)(mesh)
|
||||
return F0
|
||||
|
||||
def getJs(self, mesh, time):
|
||||
return None
|
||||
|
||||
|
||||
class SrcTDEM_VMD_MVP(SrcTDEM):
|
||||
|
||||
def __init__(self,rxList,loc,waveformType="STEPOFF"):
|
||||
self.loc = loc
|
||||
self.waveformType = waveformType
|
||||
SrcTDEM.__init__(self,rxList)
|
||||
|
||||
def getInitialFields(self, mesh):
|
||||
"""Vertical magnetic dipole, magnetic vector potential"""
|
||||
if self.waveformType == "STEPOFF":
|
||||
print(">> Step waveform: Non-zero initial condition")
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, 'Ey')
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'])
|
||||
else:
|
||||
raise Exception('Unknown mesh for VMD')
|
||||
return {"b": mesh.edgeCurl*MVP}
|
||||
elif self.waveformType == "GENERAL":
|
||||
print(">> General waveform: Zero initial condition")
|
||||
return {"b": np.zeros(mesh.nF)}
|
||||
else:
|
||||
raise NotImplementedError("Only use STEPOFF or GENERAL")
|
||||
|
||||
def getMeS(self, mesh, MfMui):
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, 'Ey')
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'])
|
||||
else:
|
||||
raise Exception('Unknown mesh for VMD')
|
||||
return mesh.edgeCurl.T*MfMui*mesh.edgeCurl*MVP
|
||||
|
||||
|
||||
class SrcTDEM_CircularLoop_MVP(SrcTDEM):
|
||||
def __init__(self,rxList,loc,radius,waveformType="STEPOFF"):
|
||||
self.loc = loc
|
||||
self.radius = radius
|
||||
self.waveformType = waveformType
|
||||
SrcTDEM.__init__(self,rxList)
|
||||
|
||||
def getInitialFields(self, mesh):
|
||||
"""Circular Loop, magnetic vector potential"""
|
||||
if self.waveformType == "STEPOFF":
|
||||
print(">> Step waveform: Non-zero initial condition")
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, 'Ey', self.radius)
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'], self.radius)
|
||||
else:
|
||||
raise Exception('Unknown mesh for CircularLoop')
|
||||
return {"b": mesh.edgeCurl*MVP}
|
||||
elif self.waveformType == "GENERAL":
|
||||
print(">> General waveform: Zero initial condition")
|
||||
return {"b": np.zeros(mesh.nF)}
|
||||
else:
|
||||
raise NotImplementedError("Only use STEPOFF or GENERAL")
|
||||
|
||||
def getMeS(self, mesh, MfMui):
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, 'Ey', self.radius)
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'], self.radius)
|
||||
else:
|
||||
raise Exception('Unknown mesh for CircularLoop')
|
||||
return mesh.edgeCurl.T*MfMui*mesh.edgeCurl*MVP
|
||||
|
||||
|
||||
class SurveyTDEM(Survey.BaseSurvey):
|
||||
"""
|
||||
Time domain electromagnetic survey
|
||||
docstring for SurveyTDEM
|
||||
"""
|
||||
|
||||
srcPair = Src.BaseSrc
|
||||
rxPair = Rx
|
||||
srcPair = SrcTDEM
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
# Sort these by frequency
|
||||
self.srcList = srcList
|
||||
SimPEG.Survey.BaseSurvey.__init__(self, **kwargs)
|
||||
Survey.BaseSurvey.__init__(self, **kwargs)
|
||||
|
||||
def eval(self, u):
|
||||
data = SimPEG.Survey.Data(self)
|
||||
data = Survey.Data(self)
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
data[src, rx] = rx.eval(src, self.mesh, self.prob.timeMesh, u)
|
||||
return data
|
||||
|
||||
def evalDeriv(self, u, v=None, adjoint=False):
|
||||
raise Exception('Use Receivers to project fields deriv.')
|
||||
# assert v is not None, 'v to multiply must be provided.'
|
||||
assert v is not None, 'v to multiply must be provided.'
|
||||
|
||||
# if not adjoint:
|
||||
# data = SimPEG.Survey.Data(self)
|
||||
# for src in self.srcList:
|
||||
# for rx in src.rxList:
|
||||
# data[src, rx] = rx.evalDeriv(src, self.mesh, self.prob.timeMesh, u, v)
|
||||
# return data
|
||||
# else:
|
||||
# f = FieldsTDEM(self.mesh, self)
|
||||
# for src in self.srcList:
|
||||
# for rx in src.rxList:
|
||||
# Ptv = rx.evalDeriv(src, self.mesh, self.prob.timeMesh, u, v, adjoint=True)
|
||||
# Ptv = Ptv.reshape((-1, self.prob.timeMesh.nN), order='F')
|
||||
# if rx.projField not in f: # first time we are projecting
|
||||
# f[src, rx.projField, :] = Ptv
|
||||
# else: # there are already fields, so let's add to them!
|
||||
# f[src, rx.projField, :] += Ptv
|
||||
# return f
|
||||
if not adjoint:
|
||||
data = Survey.Data(self)
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
data[src, rx] = rx.evalDeriv(src, self.mesh, self.prob.timeMesh, u, v)
|
||||
return data
|
||||
else:
|
||||
f = FieldsTDEM(self.mesh, self)
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
Ptv = rx.evalDeriv(src, self.mesh, self.prob.timeMesh, u, v, adjoint=True)
|
||||
Ptv = Ptv.reshape((-1, self.prob.timeMesh.nN), order='F')
|
||||
if rx.projField not in f: # first time we are projecting
|
||||
f[src, rx.projField, :] = Ptv
|
||||
else: # there are already fields, so let's add to them!
|
||||
f[src, rx.projField, :] += Ptv
|
||||
return f
|
||||
|
||||
|
||||
|
||||
@@ -1,553 +0,0 @@
|
||||
from SimPEG import Problem, Utils, np, sp, Solver as SimpegSolver
|
||||
from SimPEG.EM.Base import BaseEMProblem
|
||||
from SimPEG.EM.TDEM.SurveyTDEM import Survey as SurveyTDEM
|
||||
from SimPEG.EM.TDEM.FieldsTDEM import *
|
||||
from scipy.constants import mu_0
|
||||
import time
|
||||
|
||||
class BaseTDEMProblem(Problem.BaseTimeProblem, BaseEMProblem):
|
||||
"""
|
||||
We start with the first order form of Maxwell's equations
|
||||
"""
|
||||
surveyPair = SurveyTDEM
|
||||
fieldsPair = Fields
|
||||
|
||||
def __init__(self, mesh, mapping=None, **kwargs):
|
||||
Problem.BaseTimeProblem.__init__(self, mesh, mapping=mapping, **kwargs)
|
||||
|
||||
def fields(self, m):
|
||||
"""
|
||||
Solve the forward problem for the fields.
|
||||
|
||||
:param numpy.array m: inversion model (nP,)
|
||||
:rtype numpy.array:
|
||||
:return F: fields
|
||||
"""
|
||||
|
||||
tic = time.time()
|
||||
self.curModel = m
|
||||
|
||||
F = self.fieldsPair(self.mesh, self.survey)
|
||||
|
||||
# set initial fields
|
||||
F[:,self._fieldType+'Solution',0] = self.getInitialFields()
|
||||
|
||||
# timestep to solve forward
|
||||
if self.verbose: print '%s\nCalculating fields(m)\n%s'%('*'*50,'*'*50)
|
||||
Ainv = None
|
||||
for tInd, dt in enumerate(self.timeSteps):
|
||||
if Ainv is not None and (tInd > 0 and dt != self.timeSteps[tInd - 1]):# keep factors if dt is the same as previous step b/c A will be the same
|
||||
Ainv.clean()
|
||||
Ainv = None
|
||||
|
||||
if Ainv is None:
|
||||
A = self.getAdiag(tInd)
|
||||
if self.verbose: print 'Factoring... (dt = %e)'%dt
|
||||
Ainv = self.Solver(A, **self.solverOpts)
|
||||
if self.verbose: print 'Done'
|
||||
|
||||
rhs = self.getRHS(tInd+1) # this is on the nodes of the time mesh
|
||||
Asubdiag = self.getAsubdiag(tInd)
|
||||
|
||||
if self.verbose: print (' Solving... (tInd = %i)')% (tInd+1)
|
||||
sol = Ainv * (rhs - Asubdiag * F[:,self._fieldType+'Solution',tInd]) # taking a step
|
||||
|
||||
if self.verbose: print ' Done...'
|
||||
|
||||
if sol.ndim == 1:
|
||||
sol.shape = (sol.size,1)
|
||||
F[:,self._fieldType+'Solution',tInd+1] = sol
|
||||
if self.verbose: print '%s\nDone calculating fields(m)\n%s'%('*'*50,'*'*50)
|
||||
Ainv.clean()
|
||||
return F
|
||||
|
||||
|
||||
def Jvec(self, m, v, f=None):
|
||||
"""
|
||||
Jvec computes the sensitivity times a vector
|
||||
|
||||
.. math::
|
||||
\mathbf{J} \mathbf{v} = \\frac{d\mathbf{P}}{d\mathbf{F}} \left( \\frac{d\mathbf{F}}{d\mathbf{u}} \\frac{d\mathbf{u}}{d\mathbf{m}} + \\frac{\partial\mathbf{F}}{\partial\mathbf{m}} \\right) \mathbf{v}
|
||||
|
||||
where
|
||||
|
||||
.. math::
|
||||
\mathbf{A} \\frac{d\mathbf{u}}{d\mathbf{m}} + \\frac{d\mathbf{A}(\mathbf{u})}{d\mathbf{m}} = \\frac{d \mathbf{RHS}}{d \mathbf{m}}
|
||||
"""
|
||||
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
ftype = self._fieldType + 'Solution' # the thing we solved for
|
||||
self.curModel = m
|
||||
|
||||
# mat to store previous time-step's solution deriv times a vector for each source
|
||||
# size: nu x nSrc
|
||||
|
||||
# this is a bit silly
|
||||
|
||||
# if self._fieldType is 'b' or self._fieldType is 'j':
|
||||
# ifields = np.zeros((self.mesh.nF, len(Srcs)))
|
||||
# elif self._fieldType is 'e' or self._fieldType is 'h':
|
||||
# ifields = np.zeros((self.mesh.nE, len(Srcs)))
|
||||
|
||||
# for i, src in enumerate(self.survey.srcList):
|
||||
dun_dm_v = np.hstack([Utils.mkvc(self.getInitialFieldsDeriv(src,v),2) for src in self.survey.srcList]) # can over-write this at each timestep
|
||||
#
|
||||
df_dm_v = Fields_Derivs(self.mesh, self.survey) # store the field derivs we need to project to calc full deriv
|
||||
|
||||
Adiaginv = None
|
||||
|
||||
for tInd, dt in zip(range(self.nT), self.timeSteps):
|
||||
if Adiaginv is not None and (tInd > 0 and dt != self.timeSteps[tInd - 1]):# keep factors if dt is the same as previous step b/c A will be the same
|
||||
Adiaginv.clean()
|
||||
Adiaginv = None
|
||||
|
||||
if Adiaginv is None:
|
||||
A = self.getAdiag(tInd)
|
||||
Adiaginv = self.Solver(A, **self.solverOpts)
|
||||
|
||||
Asubdiag = self.getAsubdiag(tInd)
|
||||
|
||||
for i, src in enumerate(self.survey.srcList):
|
||||
|
||||
# here, we are lagging by a timestep, so filling in as we go
|
||||
for projField in set([rx.projField for rx in src.rxList]):
|
||||
# Seogi: df_duFun?
|
||||
df_dmFun = getattr(f, '_%sDeriv'%projField, None)
|
||||
# df_dm_v is dense, but we only need the times at (rx.P.T * ones > 0)
|
||||
# This should be called rx.footprint
|
||||
df_dm_v[src, '%sDeriv'%projField , tInd] = df_dmFun(tInd, src, dun_dm_v[:,i], v)
|
||||
|
||||
un_src = f[src,ftype,tInd+1]
|
||||
|
||||
dA_dm_v = self.getAdiagDeriv(tInd, un_src, v) # cell centered on time mesh
|
||||
dRHS_dm_v = self.getRHSDeriv(tInd+1, src, v) # on nodes of time mesh
|
||||
|
||||
dAsubdiag_dm_v = self.getAsubdiagDeriv(tInd, f[src,ftype,tInd], v)
|
||||
|
||||
JRHS = dRHS_dm_v - dAsubdiag_dm_v - dA_dm_v
|
||||
|
||||
# step in time and overwrite
|
||||
if tInd != len(self.timeSteps+1):
|
||||
dun_dm_v[:,i] = Adiaginv * (JRHS - Asubdiag * dun_dm_v[:,i])
|
||||
|
||||
# Seogi: suspcious spot
|
||||
# Jv = self.dataPair(self.survey)
|
||||
Jv = []
|
||||
for src in self.survey.srcList:
|
||||
for rx in src.rxList:
|
||||
# Looping over data class append memory as well!!
|
||||
# Jv[src,rx] = rx.evalDeriv(src, self.mesh, self.timeMesh, Utils.mkvc(df_dm_v[src,'%sDeriv'%rx.projField,:]))
|
||||
Jv.append(rx.evalDeriv(src, self.mesh, self.timeMesh, Utils.mkvc(df_dm_v[src,'%sDeriv'%rx.projField,:])))
|
||||
Adiaginv.clean()
|
||||
# del df_dm_v, dun_dm_v, Asubdiag
|
||||
# return Utils.mkvc(Jv)
|
||||
return np.hstack(Jv)
|
||||
|
||||
def Jtvec(self, m, v, f=None):
|
||||
|
||||
"""
|
||||
Jvec computes the adjoint of the sensitivity times a vector
|
||||
|
||||
.. math::
|
||||
\mathbf{J}^\\top \mathbf{v} = \left( \\frac{d\mathbf{u}}{d\mathbf{m}} ^ \\top \\frac{d\mathbf{F}}{d\mathbf{u}} ^ \\top + \\frac{\partial\mathbf{F}}{\partial\mathbf{m}} ^ \\top \\right) \\frac{d\mathbf{P}}{d\mathbf{F}} ^ \\top \mathbf{v}
|
||||
|
||||
where
|
||||
|
||||
.. math::
|
||||
\\frac{d\mathbf{u}}{d\mathbf{m}} ^\\top \mathbf{A}^\\top + \\frac{d\mathbf{A}(\mathbf{u})}{d\mathbf{m}} ^ \\top = \\frac{d \mathbf{RHS}}{d \mathbf{m}} ^ \\top
|
||||
"""
|
||||
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
self.curModel = m
|
||||
ftype = self._fieldType + 'Solution' # the thing we solved for
|
||||
|
||||
# Ensure v is a data object.
|
||||
if not isinstance(v, self.dataPair):
|
||||
v = self.dataPair(self.survey, v)
|
||||
|
||||
df_duT_v = Fields_Derivs(self.mesh, self.survey)
|
||||
ATinv_df_duT_v = np.zeros((len(self.survey.srcList), len(f[self.survey.srcList[0],ftype,0])), dtype=float) # same size as fields at a single timestep
|
||||
|
||||
JTv = np.zeros(m.shape, dtype=float)
|
||||
|
||||
# Loop over sources and receivers to create a fields object: PT_v, df_duT_v, df_dmT_v
|
||||
PT_v = Fields_Derivs(self.mesh, self.survey) # initialize storage for PT_v (don't need to preserve over sources)
|
||||
for src in self.survey.srcList:
|
||||
# Looping over initializing field class is appending memory!
|
||||
# PT_v = Fields_Derivs(self.mesh, self.survey) # initialize storage for PT_v (don't need to preserve over sources)
|
||||
# initialize size
|
||||
df_duT_v[src, '%sDeriv'%self._fieldType, :] = np.zeros_like(f[src, self._fieldType, :])
|
||||
|
||||
for rx in src.rxList:
|
||||
print ('_%sDeriv')%(rx.projField)
|
||||
PT_v[src,'%sDeriv'%rx.projField,:] = rx.evalDeriv(src, self.mesh, self.timeMesh, Utils.mkvc(v[src,rx]), adjoint=True) # this is +=
|
||||
|
||||
# PT_v = np.reshape(curPT_v,(len(curPT_v)/self.timeMesh.nN, self.timeMesh.nN), order='F')
|
||||
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
|
||||
for tInd in range(self.nT+1):
|
||||
cur = df_duTFun(tInd, src, None, Utils.mkvc(PT_v[src,'%sDeriv'%rx.projField,tInd]), adjoint=True)
|
||||
df_duT_v[src, '%sDeriv'%self._fieldType, tInd] = df_duT_v[src, '%sDeriv'%self._fieldType, tInd] + Utils.mkvc(cur[0],2)
|
||||
JTv = cur[1] + JTv
|
||||
|
||||
del PT_v # no longer need this
|
||||
|
||||
AdiagTinv = None
|
||||
|
||||
# Do the back-solve through time
|
||||
for tIndP in reversed(range(self.nT + 1)):
|
||||
tInd = tIndP - 1
|
||||
if AdiagTinv is not None and (tInd <= self.nT and self.timeSteps[tInd] != self.timeSteps[tInd+1]): # if the previous timestep is the same --> no need to refactor the matrix
|
||||
AdiagTinv.clean()
|
||||
AdiagTinv = None
|
||||
|
||||
# refactor if we need to
|
||||
if AdiagTinv is None and tInd > -1:
|
||||
Adiag = self.getAdiag(tInd)
|
||||
AdiagTinv = self.Solver(Adiag.T, **self.solverOpts)
|
||||
|
||||
dAsubdiag_dm_v = Zero()
|
||||
|
||||
if tInd < self.nT - 1:
|
||||
Asubdiag = self.getAsubdiag(tInd+1)
|
||||
|
||||
|
||||
for isrc, src in enumerate(self.survey.srcList):
|
||||
# solve against df_duT_v
|
||||
if tInd >= self.nT-1:
|
||||
# last timestep (first to be solved)
|
||||
ATinv_df_duT_v[isrc,:] = AdiagTinv * df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1]
|
||||
elif tInd > -1:
|
||||
# else:
|
||||
ATinv_df_duT_v[isrc,:] = AdiagTinv * (Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1]) - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:]))
|
||||
else:
|
||||
# AdiagTinv = I
|
||||
ATinv_df_duT_v[isrc,:] = Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1]) - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:])
|
||||
# - Utils.mkvc(Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:]))
|
||||
# (Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1]) - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:]))
|
||||
|
||||
if tInd < self.nT - 1:
|
||||
dAsubdiagT_dm_v = self.getAsubdiagDeriv(tInd+1, f[src,ftype,tInd+1], ATinv_df_duT_v[isrc,:], adjoint = True)
|
||||
|
||||
if tInd > -1:
|
||||
un_src = f[src,ftype,tInd+1]
|
||||
dAT_dm_v = self.getAdiagDeriv(tInd, un_src, ATinv_df_duT_v[isrc,:], adjoint=True) # cell centered on time mesh
|
||||
dRHST_dm_v = self.getRHSDeriv(tInd+1, src, ATinv_df_duT_v[isrc,:], adjoint=True) # on nodes of time mesh
|
||||
|
||||
JTv = JTv + Utils.mkvc(- dAT_dm_v - dAsubdiag_dm_v + dRHST_dm_v)
|
||||
else:
|
||||
# dA_dm_v = self.getInitialFieldsDeriv(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1], adjoint=True)
|
||||
# print np.linalg.norm(self.getInitialFieldsDeriv(src, df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1], adjoint=True))
|
||||
# print np.linalg.norm(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1])
|
||||
# vec = - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:]) + Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1])
|
||||
# dAsubdiagT_dm_v = self.getAsubdiagDeriv(tInd+1, f[src,ftype,tInd+1], Utils.mkvc(ATinv_df_duT_v[isrc,:]), adjoint = True)
|
||||
dRHST_dm_v = Utils.mkvc(self.getInitialFieldsDeriv(src, Utils.mkvc(ATinv_df_duT_v[isrc,:]) , adjoint=True))
|
||||
|
||||
JTv = JTv + Utils.mkvc( -dAsubdiagT_dm_v + dRHST_dm_v) #
|
||||
|
||||
|
||||
|
||||
# # dAT_dm_v = self.getAdiagDeriv(tInd, un_src, ATinv_df_duT_v[isrc,:], adjoint=True) # cell centered on time mesh
|
||||
# dRHST_dm_v0 = self.getRHSDeriv(tInd+1, src, ATinv_df_duT_v[isrc,:], adjoint=True) # on nodes of time mesh
|
||||
# dRHST_dm_v1 = self.getInitialFieldsDeriv( Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1]), adjoint=True)
|
||||
# JTv = JTv + Utils.mkvc(dRHST_dm_v0 + dRHST_dm_v1)
|
||||
|
||||
# print 'here'
|
||||
# inFields = self.getInitialFieldsDeriv(f[src,ftype,tInd+1], Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1]), adjoint=True)
|
||||
# # - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:]), adjoint=True)
|
||||
# print inFields.shape
|
||||
# JTv = JTv + inFields
|
||||
# dAsubdiag_dm_v = 0
|
||||
|
||||
|
||||
|
||||
# Missing the 0 step
|
||||
|
||||
# adding du_dm^T * dF_du^T * P^T vfor time 0 (no dRHS_dm_v at time 0)
|
||||
# Asubdiag = self.getAsubdiag(0)
|
||||
# for src in self.survey.srcList:
|
||||
# for projField in set(rx.projField):
|
||||
# v = AdiagTinv * (Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,0]) - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:]))
|
||||
# JTv = JTv - Utils.mkvc(self.getAdiagDeriv(0, f[src, ftype, tInd], v, adjoint = True))
|
||||
# # JTv = JTv + self.getInitialFieldsDeriv(Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,0] - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:])), adjoint=True)
|
||||
|
||||
# del df_duT_v, ATinv_df_duT_v, A, Asubdiag
|
||||
if AdiagTinv is not None:
|
||||
AdiagTinv.clean()
|
||||
|
||||
return Utils.mkvc(JTv).astype(float)
|
||||
|
||||
|
||||
|
||||
def getSourceTerm(self, tInd):
|
||||
|
||||
Srcs = self.survey.srcList
|
||||
|
||||
if self._eqLocs is 'FE':
|
||||
S_m = np.zeros((self.mesh.nF,len(Srcs)))
|
||||
S_e = np.zeros((self.mesh.nE,len(Srcs)))
|
||||
elif self._eqLocs is 'EF':
|
||||
S_m = np.zeros((self.mesh.nE,len(Srcs)))
|
||||
S_e = np.zeros((self.mesh.nF,len(Srcs)))
|
||||
|
||||
for i, src in enumerate(Srcs):
|
||||
smi, sei = src.eval(self, self.times[tInd])
|
||||
S_m[:,i] = S_m[:,i] + smi
|
||||
S_e[:,i] = S_e[:,i] + sei
|
||||
|
||||
return S_m, S_e
|
||||
|
||||
def getInitialFields(self):
|
||||
|
||||
Srcs = self.survey.srcList
|
||||
|
||||
if self._fieldType is 'b' or self._fieldType is 'j':
|
||||
ifields = np.zeros((self.mesh.nF, len(Srcs)))
|
||||
elif self._fieldType is 'e' or self._fieldType is 'h':
|
||||
ifields = np.zeros((self.mesh.nE, len(Srcs)))
|
||||
|
||||
for i,src in enumerate(Srcs):
|
||||
ifields[:,i] = ifields[:,i] + getattr(src, '%sInitial'%self._fieldType, None)(self)
|
||||
|
||||
return ifields
|
||||
|
||||
def getInitialFieldsDeriv(self, src, v, adjoint=False):
|
||||
|
||||
if adjoint is False:
|
||||
if self._fieldType is 'b' or self._fieldType is 'j':
|
||||
ifieldsDeriv = np.zeros(self.mesh.nF)
|
||||
elif self._fieldType is 'e' or self._fieldType is 'h':
|
||||
ifieldsDeriv = np.zeros(self.mesh.nE)
|
||||
|
||||
elif adjoint is True:
|
||||
ifieldsDeriv = np.zeros(self.mapping.nP)
|
||||
|
||||
ifieldsDeriv = Utils.mkvc(getattr(src, '%sInitialDeriv'%self._fieldType, None)(self,v,adjoint)) + ifieldsDeriv
|
||||
|
||||
# ifieldsDeriv = Utils.mkvc(getattr(src, '%sInitialDeriv'%self._fieldType, None)(self,v,adjoint)) + ifieldsDeriv
|
||||
# ifieldsDeriv = self.getAdiagDeriv(None, u, v, adjoint)
|
||||
# ifieldsDeriv = ifieldsDeriv.sum()
|
||||
|
||||
return ifieldsDeriv
|
||||
|
||||
|
||||
##########################################################################################
|
||||
################################ E-B Formulation #########################################
|
||||
##########################################################################################
|
||||
|
||||
# ------------------------------- Problem_b -------------------------------------------- #
|
||||
|
||||
class Problem_b(BaseTDEMProblem):
|
||||
"""
|
||||
Starting from the quasi-static E-B formulation of Maxwell's equations (semi-discretized)
|
||||
|
||||
.. math::
|
||||
|
||||
\mathbf{C} \mathbf{e} + \\frac{\partial \mathbf{b}}{\partial t} = \mathbf{s_m} \\\\
|
||||
\mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} - \mathbf{M_{\sigma}^e} \mathbf{e} = \mathbf{s_e}
|
||||
|
||||
where :math:`\mathbf{s_e}` is an integrated quantity, we eliminate :math:`\mathbf{e}` using
|
||||
|
||||
.. math::
|
||||
\mathbf{e} = \mathbf{M_{\sigma}^e}^{-1} \mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} - \mathbf{M_{\sigma}^e}^{-1} \mathbf{s_e}
|
||||
|
||||
to obtain a second order semi-discretized system in :math:`\mathbf{b}`
|
||||
|
||||
.. math::
|
||||
\mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} + \\frac{\partial \mathbf{b}}{\partial t} = \mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{s_e} + \mathbf{s_m}
|
||||
|
||||
and moving everything except the time derivative to the rhs gives
|
||||
|
||||
.. math::
|
||||
\\frac{\partial \mathbf{b}}{\partial t} = -\mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} + \mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{s_e} + \mathbf{s_m}
|
||||
|
||||
For the time discretization, we use backward euler. To solve for the :math:`n+1`th time step, we have
|
||||
|
||||
.. math::
|
||||
\\frac{\mathbf{b}^{n+1} - \mathbf{b}^{n}}{\mathbf{dt}} = -\mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b}^{n+1} + \mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{s_e}^{n+1} + \mathbf{s_m}^{n+1}
|
||||
|
||||
re-arranging to put :math:`\mathbf{b}^{n+1}` on the left hand side gives
|
||||
|
||||
.. math::
|
||||
(\mathbf{I} + \mathbf{dt} \mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f}) \mathbf{b}^{n+1} = \mathbf{b}^{n} + \mathbf{dt}(\mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{s_e}^{n+1} + \mathbf{s_m}^{n+1})
|
||||
|
||||
:param Mesh mesh: mesh
|
||||
:param Mapping mapping: mapping
|
||||
"""
|
||||
|
||||
_fieldType = 'b'
|
||||
_eqLocs = 'FE'
|
||||
fieldsPair = Fields_b
|
||||
surveyPair = SurveyTDEM
|
||||
|
||||
def __init__(self, mesh, mapping=None, **kwargs):
|
||||
BaseTDEMProblem.__init__(self, mesh, mapping=mapping, **kwargs)
|
||||
|
||||
def getAdiag(self, tInd):
|
||||
"""
|
||||
System matrix at a given time index
|
||||
|
||||
.. math::
|
||||
(\mathbf{I} + \mathbf{dt} \mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f})
|
||||
|
||||
"""
|
||||
assert tInd >= 0 and tInd < self.nT
|
||||
|
||||
dt = self.timeSteps[tInd]
|
||||
C = self.mesh.edgeCurl
|
||||
MeSigmaI = self.MeSigmaI
|
||||
MfMui = self.MfMui
|
||||
I = Utils.speye(self.mesh.nF)
|
||||
|
||||
A = 1./dt * I + ( C * ( MeSigmaI * (C.T * MfMui ) ) )
|
||||
|
||||
if self._makeASymmetric is True:
|
||||
return MfMui.T * A
|
||||
return A
|
||||
|
||||
def getAdiagDeriv(self, tInd, u, v, adjoint=False):
|
||||
C = self.mesh.edgeCurl
|
||||
MeSigmaIDeriv = lambda x: self.MeSigmaIDeriv(x)
|
||||
MfMui = self.MfMui
|
||||
|
||||
if adjoint:
|
||||
if self._makeASymmetric is True:
|
||||
v = MfMui * v
|
||||
return MeSigmaIDeriv(C.T * ( MfMui * u )).T * ( C.T * v )
|
||||
|
||||
ADeriv = ( C * ( MeSigmaIDeriv(C.T * ( MfMui * u )) * v ) )
|
||||
if self._makeASymmetric is True:
|
||||
return MfMui.T * ADeriv
|
||||
return ADeriv
|
||||
|
||||
|
||||
def getAsubdiag(self, tInd):
|
||||
|
||||
dt = self.timeSteps[tInd]
|
||||
MfMui = self.MfMui
|
||||
Asubdiag = - 1./dt * sp.eye(self.mesh.nF)
|
||||
|
||||
if self._makeASymmetric is True:
|
||||
return MfMui.T * Asubdiag
|
||||
|
||||
return Asubdiag
|
||||
|
||||
def getAsubdiagDeriv(self, tInd, u, v, adjoint=False):
|
||||
return Zero() * v
|
||||
|
||||
|
||||
|
||||
def getRHS(self, tInd):
|
||||
C = self.mesh.edgeCurl
|
||||
MeSigmaI = self.MeSigmaI
|
||||
MfMui = self.MfMui
|
||||
|
||||
S_m, S_e = self.getSourceTerm(tInd)
|
||||
|
||||
rhs = (C * (MeSigmaI * S_e) + S_m)
|
||||
if self._makeASymmetric is True:
|
||||
return MfMui.T * rhs
|
||||
return rhs
|
||||
|
||||
def getRHSDeriv(self, tInd, src, v, adjoint=False):
|
||||
|
||||
C = self.mesh.edgeCurl
|
||||
MeSigmaI = self.MeSigmaI
|
||||
MeSigmaIDeriv = lambda u: self.MeSigmaIDeriv(u)
|
||||
MfMui = self.MfMui
|
||||
|
||||
_, S_e = src.eval(tInd, self)
|
||||
S_mDeriv, S_eDeriv = src.evalDeriv(self.times[tInd], self, adjoint=adjoint)
|
||||
|
||||
if adjoint:
|
||||
if self._makeASymmetric is True:
|
||||
v = self.MfMui * v
|
||||
if isinstance(S_e, Utils.Zero):
|
||||
MeSigmaIDerivT_v = Utils.Zero()
|
||||
else:
|
||||
MeSigmaIDerivT_v = MeSigmaIDeriv(S_e).T * v
|
||||
RHSDeriv = MeSigmaIDerivT_v + S_eDeriv( MeSigmaI.T * ( C.T * v ) ) + S_mDeriv(v)
|
||||
return RHSDeriv
|
||||
|
||||
if isinstance(S_e, Utils.Zero):
|
||||
MeSigmaIDeriv_v = Utils.Zero()
|
||||
else:
|
||||
MeSigmaIDeriv_v = MeSigmaIDeriv(S_e) * v
|
||||
|
||||
RHSDeriv = (C * (MeSigmaIDeriv_v + MeSigmaI * S_eDeriv(v) + S_mDeriv(v)))
|
||||
|
||||
if self._makeASymmetric is True:
|
||||
return self.MfMui.T * RHSDeriv
|
||||
return RHSDeriv
|
||||
|
||||
|
||||
# ------------------------------- Problem_e -------------------------------------------- #
|
||||
|
||||
class Problem_e(BaseTDEMProblem):
|
||||
|
||||
_fieldType = 'e'
|
||||
_eqLocs = 'FE'
|
||||
fieldsPair = Fields_e
|
||||
surveyPair = SurveyTDEM
|
||||
|
||||
def __init__(self, mesh, mapping=None, **kwargs):
|
||||
BaseTDEMProblem.__init__(self, mesh, mapping=mapping, **kwargs)
|
||||
|
||||
def getAdiag(self, tInd):
|
||||
"""
|
||||
System matrix at a given time index
|
||||
|
||||
"""
|
||||
assert tInd >= 0 and tInd < self.nT
|
||||
|
||||
dt = self.timeSteps[tInd]
|
||||
C = self.mesh.edgeCurl
|
||||
MfMui = self.MfMui
|
||||
MeSigma = self.MeSigma
|
||||
|
||||
return C.T * ( MfMui * C ) + 1./dt * MeSigma
|
||||
|
||||
|
||||
def getAdiagDeriv(self, tInd, u, v, adjoint=False):
|
||||
assert tInd >= 0 and tInd < self.nT
|
||||
|
||||
dt = self.timeSteps[tInd]
|
||||
C = self.mesh.edgeCurl
|
||||
MfMui = self.MfMui
|
||||
MeSigmaDeriv = self.MeSigmaDeriv(u)
|
||||
|
||||
if adjoint:
|
||||
return 1./dt * MeSigmaDeriv.T * v
|
||||
|
||||
return 1./dt * MeSigmaDeriv * v
|
||||
|
||||
|
||||
def getAsubdiag(self, tInd):
|
||||
assert tInd >= 0 and tInd < self.nT
|
||||
|
||||
dt = self.timeSteps[tInd]
|
||||
|
||||
return - 1./dt * self.MeSigma
|
||||
|
||||
def getAsubdiagDeriv(self, tInd, u, v, adjoint=False):
|
||||
dt = self.timeSteps[tInd]
|
||||
|
||||
if adjoint:
|
||||
return - 1./dt * self.MeSigmaDeriv(u).T * v
|
||||
|
||||
return - 1./dt * self.MeSigmaDeriv(u) * v
|
||||
|
||||
def getRHS(self, tInd):
|
||||
return Zero()
|
||||
|
||||
def getRHSDeriv(self, tInd, src, v, adjoint=False):
|
||||
return Zero()
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
@@ -1,7 +1,14 @@
|
||||
from BaseTDEM import BaseTDEMProblem, FieldsTDEM
|
||||
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 SimPEG.Utils import mkvc, sdiag
|
||||
import numpy as np
|
||||
from SurveyTDEM import SurveyTDEM
|
||||
from .SurveyTDEM import SurveyTDEM
|
||||
|
||||
|
||||
class FieldsTDEM_e_from_b(FieldsTDEM):
|
||||
@@ -87,8 +94,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param numpy.array vec: vector (like a model)
|
||||
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m
|
||||
:rtype: simpegEM.TDEM.FieldsTDEM
|
||||
:param FieldsTDEM u: Fields resulting from m
|
||||
:rtype: FieldsTDEM
|
||||
:return: f
|
||||
|
||||
Multiply G by a vector
|
||||
@@ -125,9 +132,9 @@ class ProblemTDEM_b(BaseTDEMProblem):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param numpy.array vec: vector (like a fields)
|
||||
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m
|
||||
:rtype: np.ndarray (like a model)
|
||||
:return: p
|
||||
:param FieldsTDEM u: Fields resulting from m
|
||||
:rtype: numpy.ndarray
|
||||
:return: p (like a model)
|
||||
|
||||
Multiply G.T by a vector
|
||||
"""
|
||||
@@ -153,8 +160,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
|
||||
def solveAh(self, m, p):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param simpegEM.TDEM.FieldsTDEM p: Fields object
|
||||
:rtype: simpegEM.TDEM.FieldsTDEM
|
||||
:param FieldsTDEM p: Fields object
|
||||
:rtype: FieldsTDEM
|
||||
:return: y
|
||||
|
||||
Solve the block-matrix system \\\(\\\hat{A} \\\hat{y} = \\\hat{p}\\\):
|
||||
@@ -200,8 +207,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
|
||||
def solveAht(self, m, p):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param simpegEM.TDEM.FieldsTDEM p: Fields object
|
||||
:rtype: simpegEM.TDEM.FieldsTDEM
|
||||
:param FieldsTDEM p: Fields object
|
||||
:rtype: FieldsTDEM
|
||||
:return: y
|
||||
|
||||
Solve the block-matrix system \\\(\\\hat{A}^\\\\top \\\hat{y} = \\\hat{p}\\\):
|
||||
@@ -270,8 +277,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
|
||||
def _AhVec(self, m, vec):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param simpegEM.TDEM.FieldsTDEM vec: Fields object
|
||||
:rtype: simpegEM.TDEM.FieldsTDEM
|
||||
:param FieldsTDEM vec: Fields object
|
||||
:rtype: FieldsTDEM
|
||||
:return: f
|
||||
|
||||
Multiply the matrix \\\(\\\hat{A}\\\) by a fields vector where
|
||||
@@ -315,8 +322,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
|
||||
def _AhtVec(self, m, vec):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param simpegEM.TDEM.FieldsTDEM vec: Fields object
|
||||
:rtype: simpegEM.TDEM.FieldsTDEM
|
||||
:param FieldsTDEM vec: Fields object
|
||||
:rtype: FieldsTDEM
|
||||
:return: f
|
||||
|
||||
Multiply the matrix \\\(\\\hat{A}\\\) by a fields vector where
|
||||
@@ -1,3 +1,9 @@
|
||||
from TDEM import BaseTDEMProblem, Problem_b, Problem_e
|
||||
from FieldsTDEM import Fields, Fields_b
|
||||
from SurveyTDEM import Survey, Src, Rx
|
||||
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
|
||||
|
||||
@@ -1,199 +0,0 @@
|
||||
from SimPEG import Utils, Survey, np
|
||||
from SimPEG.Survey import BaseSurvey
|
||||
from SimPEG.EM.Utils import *
|
||||
from BaseTDEM import FieldsTDEM
|
||||
import SrcTDEM as Src
|
||||
|
||||
class RxTDEM(Survey.BaseTimeRx):
|
||||
|
||||
knownRxTypes = {
|
||||
'ex':['e', 'Ex', 'N'],
|
||||
'ey':['e', 'Ey', 'N'],
|
||||
'ez':['e', 'Ez', 'N'],
|
||||
|
||||
'bx':['b', 'Fx', 'N'],
|
||||
'by':['b', 'Fy', 'N'],
|
||||
'bz':['b', 'Fz', 'N'],
|
||||
|
||||
'dbxdt':['b', 'Fx', 'CC'],
|
||||
'dbydt':['b', 'Fy', 'CC'],
|
||||
'dbzdt':['b', 'Fz', 'CC'],
|
||||
}
|
||||
|
||||
def __init__(self, locs, times, rxType):
|
||||
Survey.BaseTimeRx.__init__(self, locs, times, rxType)
|
||||
|
||||
@property
|
||||
def projField(self):
|
||||
"""Field Type projection (e.g. e b ...)"""
|
||||
return self.knownRxTypes[self.rxType][0]
|
||||
|
||||
@property
|
||||
def projGLoc(self):
|
||||
"""Grid Location projection (e.g. Ex Fy ...)"""
|
||||
return self.knownRxTypes[self.rxType][1]
|
||||
|
||||
@property
|
||||
def projTLoc(self):
|
||||
"""Time Location projection (e.g. CC N)"""
|
||||
return self.knownRxTypes[self.rxType][2]
|
||||
|
||||
def getTimeP(self, timeMesh):
|
||||
"""
|
||||
Returns the time projection matrix.
|
||||
|
||||
.. note::
|
||||
|
||||
This is not stored in memory, but is created on demand.
|
||||
"""
|
||||
if self.rxType in ['dbxdt','dbydt','dbzdt']:
|
||||
return timeMesh.getInterpolationMat(self.times, self.projTLoc)*timeMesh.faceDiv
|
||||
else:
|
||||
return timeMesh.getInterpolationMat(self.times, self.projTLoc)
|
||||
|
||||
def eval(self, src, mesh, timeMesh, u):
|
||||
P = self.getP(mesh, timeMesh)
|
||||
u_part = Utils.mkvc(u[src, self.projField, :])
|
||||
return P*u_part
|
||||
|
||||
def evalDeriv(self, src, mesh, timeMesh, u, v, adjoint=False):
|
||||
P = self.getP(mesh, timeMesh)
|
||||
|
||||
if not adjoint:
|
||||
return P * Utils.mkvc(v[src, self.projField, :])
|
||||
elif adjoint:
|
||||
return P.T * v[src, self]
|
||||
|
||||
|
||||
class SrcTDEM(Survey.BaseSrc):
|
||||
rxPair = RxTDEM
|
||||
radius = None
|
||||
|
||||
def getInitialFields(self, mesh):
|
||||
F0 = getattr(self, '_getInitialFields_' + self.srcType)(mesh)
|
||||
return F0
|
||||
|
||||
def getJs(self, mesh, time):
|
||||
return None
|
||||
|
||||
|
||||
class SrcTDEM_VMD_MVP(SrcTDEM):
|
||||
|
||||
def __init__(self,rxList,loc,waveformType="STEPOFF"):
|
||||
self.loc = loc
|
||||
self.waveformType = waveformType
|
||||
SrcTDEM.__init__(self,rxList)
|
||||
|
||||
def getInitialFields(self, mesh):
|
||||
"""Vertical magnetic dipole, magnetic vector potential"""
|
||||
if self.waveformType == "STEPOFF":
|
||||
print ">> Step waveform: Non-zero initial condition"
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, 'Ey')
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'])
|
||||
else:
|
||||
raise Exception('Unknown mesh for VMD')
|
||||
return {"b": mesh.edgeCurl*MVP}
|
||||
elif self.waveformType == "GENERAL":
|
||||
print ">> General waveform: Zero initial condition"
|
||||
return {"b": np.zeros(mesh.nF)}
|
||||
else:
|
||||
raise NotImplementedError("Only use STEPOFF or GENERAL")
|
||||
|
||||
def getMeS(self, mesh, MfMui):
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, 'Ey')
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'])
|
||||
else:
|
||||
raise Exception('Unknown mesh for VMD')
|
||||
return mesh.edgeCurl.T*MfMui*mesh.edgeCurl*MVP
|
||||
|
||||
|
||||
class SrcTDEM_CircularLoop_MVP(SrcTDEM):
|
||||
def __init__(self,rxList,loc,radius,waveformType="STEPOFF"):
|
||||
self.loc = loc
|
||||
self.radius = radius
|
||||
self.waveformType = waveformType
|
||||
SrcTDEM.__init__(self,rxList)
|
||||
|
||||
def getInitialFields(self, mesh):
|
||||
"""Circular Loop, magnetic vector potential"""
|
||||
if self.waveformType == "STEPOFF":
|
||||
print ">> Step waveform: Non-zero initial condition"
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, 'Ey', self.radius)
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'], self.radius)
|
||||
else:
|
||||
raise Exception('Unknown mesh for CircularLoop')
|
||||
return {"b": mesh.edgeCurl*MVP}
|
||||
elif self.waveformType == "GENERAL":
|
||||
print ">> General waveform: Zero initial condition"
|
||||
return {"b": np.zeros(mesh.nF)}
|
||||
else:
|
||||
raise NotImplementedError("Only use STEPOFF or GENERAL")
|
||||
|
||||
def getMeS(self, mesh, MfMui):
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, 'Ey', self.radius)
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'], self.radius)
|
||||
else:
|
||||
raise Exception('Unknown mesh for CircularLoop')
|
||||
return mesh.edgeCurl.T*MfMui*mesh.edgeCurl*MVP
|
||||
|
||||
|
||||
class SurveyTDEM(Survey.BaseSurvey):
|
||||
"""
|
||||
docstring for SurveyTDEM
|
||||
"""
|
||||
srcPair = SrcTDEM
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
# Sort these by frequency
|
||||
self.srcList = srcList
|
||||
Survey.BaseSurvey.__init__(self, **kwargs)
|
||||
|
||||
def projectFields(self, u):
|
||||
data = Survey.Data(self)
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
data[src, rx] = rx.projectFields(src, self.mesh, self.prob.timeMesh, u)
|
||||
return data
|
||||
|
||||
def projectFieldsDeriv(self, u, v=None, adjoint=False):
|
||||
assert v is not None, 'v to multiply must be provided.'
|
||||
|
||||
if not adjoint:
|
||||
data = Survey.Data(self)
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
data[src, rx] = rx.projectFieldsDeriv(src, self.mesh, self.prob.timeMesh, u, v)
|
||||
return data
|
||||
else:
|
||||
f = FieldsTDEM(self.mesh, self)
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
Ptv = rx.projectFieldsDeriv(src, self.mesh, self.prob.timeMesh, u, v, adjoint=True)
|
||||
Ptv = Ptv.reshape((-1, self.prob.timeMesh.nN), order='F')
|
||||
if rx.projField not in f: # first time we are projecting
|
||||
f[src, rx.projField, :] = Ptv
|
||||
else: # there are already fields, so let's add to them!
|
||||
f[src, rx.projField, :] += Ptv
|
||||
return f
|
||||
|
||||
|
||||
@@ -1,3 +0,0 @@
|
||||
from SurveyTDEM import * #SurveyTDEM, RxTDEM, SrcTDEM
|
||||
from BaseTDEM import BaseTDEMProblem, FieldsTDEM
|
||||
from TDEM_b import ProblemTDEM_b
|
||||
@@ -1,3 +1,10 @@
|
||||
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
|
||||
@@ -17,7 +24,7 @@ def MagneticDipoleVectorPotential(srcLoc, obsLoc, component, moment=1., dipoleMo
|
||||
#TODO: break this out!
|
||||
|
||||
if type(component) in [list, tuple]:
|
||||
out = range(len(component))
|
||||
out = list(range(len(component)))
|
||||
for i, comp in enumerate(component):
|
||||
out[i] = MagneticDipoleVectorPotential(srcLoc, obsLoc, comp, dipoleMoment=dipoleMoment)
|
||||
return np.concatenate(out)
|
||||
@@ -118,7 +125,7 @@ def MagneticLoopVectorPotential(srcLoc, obsLoc, component, radius, mu=mu_0):
|
||||
"""
|
||||
|
||||
if type(component) in [list, tuple]:
|
||||
out = range(len(component))
|
||||
out = list(range(len(component)))
|
||||
for i, comp in enumerate(component):
|
||||
out[i] = MagneticLoopVectorPotential(srcLoc, obsLoc, comp, radius, mu)
|
||||
return np.concatenate(out)
|
||||
@@ -158,11 +165,11 @@ 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')
|
||||
|
||||
|
||||
@@ -1,3 +1,9 @@
|
||||
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
|
||||
|
||||
@@ -9,8 +15,8 @@ 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
|
||||
|
||||
|
||||
|
||||
@@ -1,2 +1,8 @@
|
||||
from EMUtils import omega, k
|
||||
from AnalyticUtils import MagneticDipoleFields, MagneticDipoleVectorPotential, MagneticLoopVectorPotential
|
||||
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
|
||||
@@ -1,3 +1,10 @@
|
||||
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
|
||||
@@ -58,7 +65,7 @@ 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)
|
||||
@@ -83,7 +90,7 @@ def getFDEMProblem(fdemType, comp, SrcList, freq, useMu=False, verbose=False):
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
prb.Solver = MumpsSolver
|
||||
except ImportError, e:
|
||||
except ImportError as e:
|
||||
prb.Solver = SolverLU
|
||||
|
||||
return prb
|
||||
@@ -94,7 +101,7 @@ 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
|
||||
@@ -112,7 +119,7 @@ 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)
|
||||
@@ -121,11 +128,11 @@ 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
|
||||
|
||||
+12
-6
@@ -1,7 +1,13 @@
|
||||
import TDEM
|
||||
import FDEM
|
||||
import Static
|
||||
import Base
|
||||
import Analytics
|
||||
import Utils
|
||||
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
|
||||
from scipy.constants import mu_0, epsilon_0
|
||||
|
||||
@@ -1,7 +1,13 @@
|
||||
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.DCIP as DC
|
||||
import SimPEG.EM.Static.DC as DC
|
||||
|
||||
def run(plotIt=False):
|
||||
def run(plotIt=True):
|
||||
cs = 25.
|
||||
hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
|
||||
hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
|
||||
@@ -21,15 +27,15 @@ def run(plotIt=False):
|
||||
# ax.plot(xyz_rxP[:,0],xyz_rxP[:,1], 'w.')
|
||||
# ax.plot(xyz_rxN[:,0],xyz_rxN[:,1], 'r.', ms = 3)
|
||||
|
||||
rx = DC.RxDipole(xyz_rxP, xyz_rxN)
|
||||
src = DC.SrcDipole([rx], [-200, 0, -12.5], [+200, 0, -12.5])
|
||||
survey = DC.SurveyDC([src])
|
||||
problem = DC.ProblemDC_CC(mesh)
|
||||
rx = DC.Rx.Dipole(xyz_rxP, xyz_rxN)
|
||||
src = DC.Src.Dipole([rx], np.r_[-200, 0, -12.5], np.r_[+200, 0, -12.5])
|
||||
survey = DC.Survey([src])
|
||||
problem = DC.Problem3D_CC(mesh)
|
||||
problem.pair(survey)
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
problem.Solver = MumpsSolver
|
||||
except Exception, e:
|
||||
except Exception as e:
|
||||
pass
|
||||
data = survey.dpred(sigma)
|
||||
|
||||
@@ -61,8 +67,8 @@ def run(plotIt=False):
|
||||
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(plotIt=True)
|
||||
print(run())
|
||||
|
||||
@@ -1,3 +1,11 @@
|
||||
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
|
||||
@@ -57,7 +65,7 @@ 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
|
||||
@@ -124,10 +132,10 @@ 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)
|
||||
@@ -143,10 +151,10 @@ 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),
|
||||
print('\rTransmitter {0} of {1} -> Time:{2} sec'.format(ii,len(Tx),time.time()- start_time), end=' ')
|
||||
|
||||
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')
|
||||
|
||||
@@ -1,3 +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 *
|
||||
import SimPEG.EM as EM
|
||||
from SimPEG.EM import mu_0
|
||||
@@ -56,7 +62,7 @@ def run(plotIt=True):
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
prb.Solver = MumpsSolver
|
||||
except ImportError, e:
|
||||
except ImportError as e:
|
||||
prb.Solver = SolverLU
|
||||
|
||||
prb.pair(survey)
|
||||
|
||||
@@ -1,3 +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 *
|
||||
import SimPEG.EM as EM
|
||||
|
||||
|
||||
@@ -1,3 +1,10 @@
|
||||
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
|
||||
@@ -19,10 +26,13 @@ def run(plotIt=True):
|
||||
Morrison Casing Model, and the results are used in a 2016 SEG abstract by
|
||||
Yang et al.
|
||||
|
||||
- Schenkel, C.J., and H.F. Morrison, 1990, Effects of well casing on potential field measurements using downhole current sources: Geophysical prospecting, 38, 663-686.
|
||||
.. code-block:: text
|
||||
|
||||
Schenkel, C.J., and H.F. Morrison, 1990, Effects of well casing on potential field measurements using downhole current sources: Geophysical prospecting, 38, 663-686.
|
||||
|
||||
|
||||
The model consists of:
|
||||
|
||||
- Air: Conductivity 1e-8 S/m, above z = 0
|
||||
- Background: conductivity 1e-2 S/m, below z = 0
|
||||
- Casing: conductivity 1e6 S/m
|
||||
@@ -64,8 +74,8 @@ 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.]
|
||||
|
||||
|
||||
@@ -75,25 +85,25 @@ 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.floor(np.log(csx2/csx1) / np.log(pfx1))
|
||||
npadx1 = np.log(csx2/csx1) // np.log(pfx1)
|
||||
hx1a,hx1b = Utils.meshTensor([(csx1,ncx1)]),Utils.meshTensor([(csx1,npadx1,pfx1)])
|
||||
dx1 = sum(hx1a)+sum(hx1b)
|
||||
dx1 = np.floor(dx1/csx2)
|
||||
hx1b *= (dx1*csx2 - sum(hx1a))/sum(hx1b)
|
||||
dx1 = 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])
|
||||
@@ -107,8 +117,8 @@ 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))
|
||||
@@ -215,13 +225,13 @@ 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)
|
||||
problem = FDEM.Problem3D_h(mesh, mapping=mapping, Solver=solver)
|
||||
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
|
||||
|
||||
@@ -248,9 +258,9 @@ 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
|
||||
|
||||
@@ -1,3 +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 *
|
||||
import SimPEG.EM as EM
|
||||
from SimPEG.EM import mu_0
|
||||
@@ -42,10 +48,10 @@ def run(plotIt=True):
|
||||
|
||||
|
||||
rxOffset=1e-3
|
||||
rx = EM.TDEM.Rx(np.array([[rxOffset, 0., 30]]), np.logspace(-5,-3, 31), 'bz')
|
||||
src = EM.TDEM.Src.MagDipole([rx], loc=np.array([0., 0., 80]))
|
||||
survey = EM.TDEM.Survey([src])
|
||||
prb = EM.TDEM.Problem_b(mesh, mapping=mapping)
|
||||
rx = EM.TDEM.RxTDEM(np.array([[rxOffset, 0., 30]]), np.logspace(-5,-3, 31), 'bz')
|
||||
src = EM.TDEM.SrcTDEM_VMD_MVP([rx], np.array([0., 0., 80]))
|
||||
survey = EM.TDEM.SurveyTDEM([src])
|
||||
prb = EM.TDEM.ProblemTDEM_b(mesh, mapping=mapping)
|
||||
|
||||
prb.Solver = SolverLU
|
||||
prb.timeSteps = [(1e-06, 20),(1e-05, 20), (0.0001, 20)]
|
||||
@@ -53,9 +59,9 @@ def run(plotIt=True):
|
||||
|
||||
# create observed data
|
||||
std = 0.05
|
||||
|
||||
|
||||
survey.dobs = survey.makeSyntheticData(mtrue,std)
|
||||
survey.std = std
|
||||
survey.std = std
|
||||
survey.eps = 1e-5*np.linalg.norm(survey.dobs)
|
||||
|
||||
if plotIt:
|
||||
|
||||
@@ -1,3 +1,9 @@
|
||||
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
|
||||
|
||||
|
||||
@@ -1,3 +1,11 @@
|
||||
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 *
|
||||
|
||||
|
||||
@@ -42,62 +50,40 @@ 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()
|
||||
IRLS = Directives.Update_IRLS( norms=norms, eps_p=eps_p, eps_q=eps_q)
|
||||
|
||||
# Set the IRLS directive, penalize the lowest 25 percentile of model values
|
||||
# Start with an l2-l2, then switch to lp-norms
|
||||
norms = [0., 0., 2., 2.]
|
||||
IRLS = Directives.Update_IRLS( norms=norms, prctile = 25, maxIRLSiter = 15, minGNiter=3)
|
||||
|
||||
inv = Inversion.BaseInversion(invProb, directiveList=[IRLS,betaest,update_Jacobi])
|
||||
|
||||
# Run inversion
|
||||
mrec = inv.run(m0)
|
||||
|
||||
print "Final misfit:" + str(invProb.dmisfit.eval(mrec))
|
||||
print("Final misfit:" + str(invProb.dmisfit.eval(mrec)))
|
||||
|
||||
|
||||
if plotIt:
|
||||
|
||||
@@ -1,3 +1,10 @@
|
||||
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 *
|
||||
|
||||
|
||||
|
||||
@@ -1,3 +1,9 @@
|
||||
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
|
||||
@@ -7,7 +13,7 @@ import matplotlib.pyplot as plt
|
||||
def run(plotIt=True):
|
||||
"""
|
||||
MT: 1D: Inversion
|
||||
=======================
|
||||
=================
|
||||
|
||||
Forward model 1D MT data.
|
||||
Setup and run a MT 1D inversion.
|
||||
@@ -50,7 +56,7 @@ def run(plotIt=True):
|
||||
m_0 = np.log(sigma_0[active])
|
||||
|
||||
# Set the mapping
|
||||
actMap = simpeg.Maps.ActiveCells(m1d, active, np.log(1e-8), nC=m1d.nCx)
|
||||
actMap = simpeg.Maps.InjectActiveCells(m1d, active, np.log(1e-8), nC=m1d.nCx)
|
||||
mappingExpAct = simpeg.Maps.ExpMap(m1d) * actMap
|
||||
|
||||
## Setup the layout of the survey, set the sources and the connected receivers
|
||||
@@ -76,7 +82,7 @@ def run(plotIt=True):
|
||||
survey.dobs = survey.dtrue + 0.025*abs(survey.dtrue)*np.random.randn(*survey.dtrue.shape)
|
||||
|
||||
if plotIt:
|
||||
fig = MT.Utils.dataUtils.plotMT1DModelData(problem)
|
||||
fig = MT.Utils.dataUtils.plotMT1DModelData(problem, [m_0])
|
||||
fig.suptitle('Target - smooth true')
|
||||
|
||||
|
||||
|
||||
@@ -1,3 +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()
|
||||
# Test script to use SimPEG.MT platform to forward model synthetic data.
|
||||
|
||||
# Import
|
||||
@@ -12,7 +18,7 @@ except:
|
||||
def run(plotIt=True, nFreq=1):
|
||||
"""
|
||||
MT: 3D: Forward
|
||||
=======================
|
||||
===============
|
||||
|
||||
Forward model 3D MT data.
|
||||
|
||||
@@ -46,16 +52,15 @@ def run(plotIt=True, nFreq=1):
|
||||
survey = MT.Survey(srcList)
|
||||
|
||||
## Setup the problem object
|
||||
problem = MT.Problem3D.eForm_ps(M, sigmaPrimary=sigBG)
|
||||
problem = MT.Problem3D.eForm_ps(M, sigmaPrimary=sigBG, Solver=Solver)
|
||||
problem.pair(survey)
|
||||
problem.Solver = Solver
|
||||
|
||||
# Calculate the data
|
||||
fields = problem.fields(sig)
|
||||
dataVec = survey.eval(fields)
|
||||
|
||||
# Make the data
|
||||
mtData = MT.Data(survey,dataVec)
|
||||
mtData = MT.Data(survey, dataVec)
|
||||
# Add plots
|
||||
if plotIt:
|
||||
pass
|
||||
|
||||
@@ -0,0 +1,69 @@
|
||||
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()
|
||||
|
||||
@@ -0,0 +1,47 @@
|
||||
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()
|
||||
|
||||
@@ -1,3 +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 Mesh, Utils, np, SolverLU
|
||||
|
||||
def run(plotIt=True):
|
||||
|
||||
@@ -1,3 +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 *
|
||||
|
||||
def run(plotIt=True):
|
||||
|
||||
@@ -1,3 +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 *
|
||||
|
||||
def run(plotIt=True):
|
||||
|
||||
@@ -1,3 +1,11 @@
|
||||
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):
|
||||
@@ -87,7 +95,7 @@ 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:
|
||||
|
||||
@@ -1,3 +1,10 @@
|
||||
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):
|
||||
|
||||
@@ -1,3 +1,11 @@
|
||||
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):
|
||||
@@ -28,15 +36,15 @@ def run(plotIt=True, n=60):
|
||||
axes[0].set_xlim([-1,17])
|
||||
axes[0].set_ylim([-1,17])
|
||||
|
||||
for ii, loc in zip(range(M.nC),M.gridCC):
|
||||
for ii, loc in zip(list(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(range(M.nFx),M.gridFx):
|
||||
for ii, loc in zip(list(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(range(M.nFy),M.gridFy):
|
||||
for ii, loc in zip(list(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)
|
||||
|
||||
@@ -1,3 +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 *
|
||||
|
||||
def run(plotIt=True):
|
||||
|
||||
@@ -1,3 +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 *
|
||||
|
||||
def run(plotIt=True):
|
||||
|
||||
@@ -1,9 +1,19 @@
|
||||
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=False, nx = 5, ny = 5):
|
||||
def run(plotIt=True, nx=5, ny=5):
|
||||
"""
|
||||
|
||||
Utils: surface2ind_topo
|
||||
=======================
|
||||
|
||||
Here we show how to use :code:`Utils.surface2ind_topo` to identify cells below
|
||||
a topographic surface.
|
||||
|
||||
@@ -13,27 +23,25 @@ def run(plotIt=False, nx = 5, ny = 5):
|
||||
xtopo = np.linspace(mesh.gridN[:,0].min(), mesh.gridN[:,0].max())
|
||||
topo = 0.4*np.sin(xtopo*5) # define a topographic surface
|
||||
|
||||
Topo = np.hstack([Utils.mkvc(xtopo,2),Utils.mkvc(topo,2)]) #make it an array
|
||||
Topo = np.hstack([Utils.mkvc(xtopo,2), Utils.mkvc(topo,2)]) #make it an array
|
||||
|
||||
indcc = surface2ind_topo(mesh, Topo,'CC')
|
||||
indcc = surface2ind_topo(mesh, Topo, 'CC')
|
||||
|
||||
if plotIt:
|
||||
from matplotlib.pylab import plt
|
||||
from scipy.interpolate import interp1d
|
||||
fig, ax = plt.subplots(1,1,figsize=(6,6))
|
||||
fig, ax = plt.subplots(1,1, figsize=(6,6))
|
||||
mesh.plotGrid(ax=ax, nodes=True, centers=True)
|
||||
ax.plot(xtopo,topo,'k',linewidth=1)
|
||||
# ax.plot(mesh.vectorNx, interp1d(xtopo,topo)(mesh.vectorNx),'--k',linewidth=3)
|
||||
ax.plot(mesh.vectorCCx, interp1d(xtopo,topo)(mesh.vectorCCx),'--k',linewidth=3)
|
||||
|
||||
|
||||
aveN2CC = Utils.sdiag(mesh.aveN2CC.T.sum(1))*mesh.aveN2CC.T
|
||||
a = aveN2CC * indcc
|
||||
a[a > 0] = 1.
|
||||
a[a < 0.25] = np.nan
|
||||
a = a.reshape(mesh.vnN, order='F')
|
||||
masked_array = np.ma.array(a, mask=np.isnan(a))
|
||||
ax.pcolor(mesh.vectorNx,mesh.vectorNy,masked_array.T, cmap = plt.cm.gray,alpha=0.2)
|
||||
ax.pcolor(mesh.vectorNx,mesh.vectorNy,masked_array.T, cmap=plt.cm.gray, alpha=0.2)
|
||||
plt.show()
|
||||
|
||||
|
||||
|
||||
+34
-25
@@ -1,28 +1,37 @@
|
||||
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 #####
|
||||
import DC_Analytic_Dipole
|
||||
import DC_Forward_PseudoSection
|
||||
import EM_FDEM_1D_Inversion
|
||||
import EM_FDEM_Analytic_MagDipoleWholespace
|
||||
import EM_Schenkel_Morrison_Casing
|
||||
import EM_TDEM_1D_Inversion
|
||||
import FLOW_Richards_1D_Celia1990
|
||||
import Inversion_IRLS
|
||||
import Inversion_Linear
|
||||
import Mesh_Basic_ForwardDC
|
||||
import Mesh_Basic_PlotImage
|
||||
import Mesh_Basic_Types
|
||||
import Mesh_Operators_CahnHilliard
|
||||
import Mesh_QuadTree_Creation
|
||||
import Mesh_QuadTree_FaceDiv
|
||||
import Mesh_QuadTree_HangingNodes
|
||||
import Mesh_Tensor_Creation
|
||||
import MT_1D_ForwardAndInversion
|
||||
import MT_3D_Foward
|
||||
import Utils_surface2ind_topo
|
||||
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
|
||||
|
||||
__examples__ = ["DC_Analytic_Dipole", "DC_Forward_PseudoSection", "EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_Schenkel_Morrison_Casing", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Inversion_IRLS", "Inversion_Linear", "Mesh_Basic_ForwardDC", "Mesh_Basic_PlotImage", "Mesh_Basic_Types", "Mesh_Operators_CahnHilliard", "Mesh_QuadTree_Creation", "Mesh_QuadTree_FaceDiv", "Mesh_QuadTree_HangingNodes", "Mesh_Tensor_Creation", "MT_1D_ForwardAndInversion", "MT_3D_Foward", "Utils_surface2ind_topo"]
|
||||
__examples__ = ["DC_Analytic_Dipole", "DC_Forward_PseudoSection", "EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_Schenkel_Morrison_Casing", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Inversion_IRLS", "Inversion_Linear", "Maps_ComboMaps", "Maps_Mesh2Mesh", "Mesh_Basic_ForwardDC", "Mesh_Basic_PlotImage", "Mesh_Basic_Types", "Mesh_Operators_CahnHilliard", "Mesh_QuadTree_Creation", "Mesh_QuadTree_FaceDiv", "Mesh_QuadTree_HangingNodes", "Mesh_Tensor_Creation", "MT_1D_ForwardAndInversion", "MT_3D_Foward", "Utils_surface2ind_topo"]
|
||||
|
||||
##### AUTOIMPORTS #####
|
||||
|
||||
@@ -38,7 +47,7 @@ if __name__ == '__main__':
|
||||
|
||||
# Create the examples dir in the docs folder.
|
||||
fName = os.path.realpath(__file__)
|
||||
docExamplesDir = os.path.sep.join(fName.split(os.path.sep)[:-3] + ['docs', 'examples'])
|
||||
docExamplesDir = os.path.sep.join(fName.split(os.path.sep)[:-3] + ['docs', 'content', 'examples'])
|
||||
shutil.rmtree(docExamplesDir)
|
||||
os.makedirs(docExamplesDir)
|
||||
|
||||
@@ -95,14 +104,14 @@ 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', 'examples', name + '.rst']))
|
||||
rst = os.path.sep.join((filePath.split(os.path.sep)[:-3] + ['docs', 'content', 'examples', name + '.rst']))
|
||||
|
||||
print 'Creating: %s.rst'%name
|
||||
print('Creating: %s.rst'%name)
|
||||
f = open(rst, 'w')
|
||||
f.write(out)
|
||||
f.close()
|
||||
|
||||
@@ -1,157 +0,0 @@
|
||||
from SimPEG import np, Mesh, Maps, Utils, DataMisfit, Regularization, Optimization, Inversion, InvProblem, Directives
|
||||
from SimPEG import SolverLU
|
||||
from SimPEG.EM import FDEM, TDEM, mu_0
|
||||
import matplotlib.pyplot as plt
|
||||
import matplotlib
|
||||
matplotlib.rcParams['font.size'] = 14
|
||||
|
||||
def run(plotIt=True):
|
||||
# Set up cylindrically symmeric mesh
|
||||
cs, ncx, ncz, npad = 10., 15, 25, 13 # padded cyl mesh
|
||||
hx = [(cs,ncx), (cs,npad,1.3)]
|
||||
hz = [(cs,npad,-1.3), (cs,ncz), (cs,npad,1.3)]
|
||||
mesh = Mesh.CylMesh([hx,1,hz], '00C')
|
||||
|
||||
# Conductivity model
|
||||
layerz = np.r_[-200., -100.]
|
||||
layer = (mesh.vectorCCz>=layerz[0]) & (mesh.vectorCCz<=layerz[1])
|
||||
active = mesh.vectorCCz<0.
|
||||
sig_half = 1e-2 # Half-space conductivity
|
||||
sig_air = 1e-8 # Air conductivity
|
||||
sig_layer = 5e-2 # Layer conductivity
|
||||
sigma = np.ones(mesh.nCz)*sig_air
|
||||
sigma[active] = sig_half
|
||||
sigma[layer] = sig_layer
|
||||
|
||||
# Mapping
|
||||
actMap = Maps.InjectActiveCells(mesh, active, np.log(1e-8), nC=mesh.nCz)
|
||||
mapping = Maps.ExpMap(mesh) * Maps.SurjectVertical1D(mesh) * actMap
|
||||
mtrue = np.log(sigma[active])
|
||||
|
||||
# FDEM problem & survey
|
||||
rxlocs = Utils.ndgrid([np.r_[50.], np.r_[0], np.r_[0.]])
|
||||
bzi = FDEM.Rx.Point_bSecondary(rxlocs, 'z', 'real')
|
||||
bzr = FDEM.Rx.Point_bSecondary(rxlocs, 'z', 'imag')
|
||||
|
||||
freqs = np.logspace(2, 3, 5)
|
||||
srcLoc = np.array([0., 0., 0.])
|
||||
|
||||
print 'min skin depth = ', 500./np.sqrt(freqs.max() * sig_half), 'max skin depth = ', 500./np.sqrt(freqs.min() * sig_half)
|
||||
print 'max x ', mesh.vectorCCx.max(), 'min z ', mesh.vectorCCz.min(), 'max z ', mesh.vectorCCz.max()
|
||||
|
||||
srcList = []
|
||||
[srcList.append(FDEM.Src.MagDipole([bzr, bzi],freq, srcLoc,orientation='Z')) for freq in freqs]
|
||||
|
||||
surveyFD = FDEM.Survey(srcList)
|
||||
prbFD = FDEM.Problem3D_b(mesh, mapping=mapping)
|
||||
prbFD.pair(surveyFD)
|
||||
std = 0.03
|
||||
surveyFD.makeSyntheticData(mtrue, std)
|
||||
surveyFD.eps = np.linalg.norm(surveyFD.dtrue)*1e-5
|
||||
|
||||
# FDEM inversion
|
||||
np.random.seed(1)
|
||||
dmisfit = DataMisfit.l2_DataMisfit(surveyFD)
|
||||
regMesh = Mesh.TensorMesh([mesh.hz[mapping.maps[-1].indActive]])
|
||||
reg = Regularization.Simple(regMesh)
|
||||
opt = Optimization.InexactGaussNewton(maxIterCG=10, maxIter=4)
|
||||
invProb = InvProblem.BaseInvProblem(dmisfit, reg, opt)
|
||||
# Inversion Directives
|
||||
beta = Directives.BetaSchedule(coolingFactor=5, coolingRate=3)
|
||||
# betaest = Directives.BetaEstimate_ByEig(beta0_ratio=10.)
|
||||
invProb.beta = 1.
|
||||
target = Directives.TargetMisfit()
|
||||
|
||||
inv = Inversion.BaseInversion(invProb, directiveList=[beta,target])
|
||||
m0 = np.log(np.ones(mtrue.size)*sig_half)
|
||||
reg.alpha_s = 5e-1
|
||||
reg.alpha_x = 1.
|
||||
prbFD.counter = opt.counter = Utils.Counter()
|
||||
opt.LSshorten = 0.5
|
||||
opt.tolG = 1e-10
|
||||
opt.eps = 1e-10
|
||||
opt.remember('xc')
|
||||
moptFD = inv.run(m0)
|
||||
|
||||
# TDEM problem
|
||||
times = np.logspace(-4, np.log10(2e-3), 10)
|
||||
print 'min diffusion distance ', 1.28*np.sqrt(times.min()/(sig_half*mu_0)), 'max diffusion distance ', 1.28*np.sqrt(times.max()/(sig_half*mu_0))
|
||||
rx = TDEM.Rx(rxlocs, times, 'bz')
|
||||
src = TDEM.Src.MagDipole([rx], waveform=TDEM.Src.StepOffWaveform(), loc=srcLoc) # same src location as FDEM problem
|
||||
|
||||
surveyTD = TDEM.Survey([src])
|
||||
prbTD = TDEM.Problem_b(mesh, mapping=mapping)
|
||||
prbTD.timeSteps = [(5e-5, 10),(1e-4, 10),(5e-4, 10)]
|
||||
prbTD.pair(surveyTD)
|
||||
prbTD.Solver = SolverLU
|
||||
|
||||
std = 0.03
|
||||
surveyTD.makeSyntheticData(mtrue, std)
|
||||
surveyTD.std = std
|
||||
surveyTD.eps = np.linalg.norm(surveyTD.dtrue)*1e-5
|
||||
|
||||
# TDEM inversion
|
||||
dmisfit = DataMisfit.l2_DataMisfit(surveyTD)
|
||||
regMesh = Mesh.TensorMesh([mesh.hz[mapping.maps[-1].indActive]])
|
||||
reg = Regularization.Simple(regMesh)
|
||||
opt = Optimization.InexactGaussNewton(maxIterCG=10, maxIter=4)
|
||||
invProb = InvProblem.BaseInvProblem(dmisfit, reg, opt)
|
||||
|
||||
# Inversion Directives
|
||||
beta = Directives.BetaSchedule(coolingFactor=5, coolingRate=3)
|
||||
invProb.beta = 1.
|
||||
# betaest = Directives.BetaEstimate_ByEig(beta0_ratio=1.)
|
||||
target = Directives.TargetMisfit()
|
||||
|
||||
inv = Inversion.BaseInversion(invProb, directiveList=[beta, target])
|
||||
m0 = np.log(np.ones(mtrue.size)*sig_half)
|
||||
reg.alpha_s = 5e-1
|
||||
reg.alpha_x = 1.
|
||||
prbTD.counter = opt.counter = Utils.Counter()
|
||||
opt.LSshorten = 0.5
|
||||
opt.remember('xc')
|
||||
moptTD = inv.run(m0)
|
||||
|
||||
if plotIt:
|
||||
fig, ax = plt.subplots(1,1, figsize = (4, 6))
|
||||
plt.semilogx(sigma[active], mesh.vectorCCz[active], 'k-', lw=2)
|
||||
plt.semilogx(np.exp(moptFD), mesh.vectorCCz[active], 'ko', ms=3)
|
||||
plt.semilogx(np.exp(moptTD), mesh.vectorCCz[active], 'k*')
|
||||
ax.set_ylim(-1000, 0)
|
||||
ax.set_xlim(5e-3, 1e-1)
|
||||
|
||||
ax.set_xlabel('Conductivity (S/m)', fontsize = 14)
|
||||
ax.set_ylabel('Depth (m)', fontsize = 14)
|
||||
ax.grid(color='k', alpha=0.5, linestyle='dashed', linewidth=0.5)
|
||||
plt.legend(['True', 'Pred (FD)', 'Pred (TD)'], fontsize=13, loc=4)
|
||||
plt.show()
|
||||
|
||||
fig = plt.figure(figsize = (10*1.3, 5*1.3))
|
||||
ax2 = plt.subplot(122)
|
||||
ax2.plot(times, surveyTD.dobs, 'k-', lw=2)
|
||||
ax2.plot(times, surveyTD.dpred(moptTD), 'ko', ms=4)
|
||||
ax2.set_xscale('log')
|
||||
ax2.set_yscale('log')
|
||||
ax2.set_xlim(times.min(), times.max())
|
||||
ax1 = plt.subplot(121)
|
||||
ax1.plot(freqs, -surveyFD.dobs[::2], 'k-', lw=2)
|
||||
ax1.plot(freqs, -surveyFD.dobs[1::2], 'k--', lw=2)
|
||||
dpredFD = surveyFD.dpred(moptTD)
|
||||
ax1.plot(freqs, -dpredFD[::2], 'ko', ms=4)
|
||||
ax1.plot(freqs, -dpredFD[1::2], 'k+', markeredgewidth=2., ms=10)
|
||||
ax1.set_xscale('log')
|
||||
ax1.set_yscale('log')
|
||||
ax2.set_xlabel('Time (s)', fontsize = 14)
|
||||
ax1.set_xlabel('Frequency (Hz)', fontsize = 14)
|
||||
ax1.set_ylabel('Vertical magnetic field (T)', fontsize = 14)
|
||||
ax2.grid(True,which='minor')
|
||||
ax1.grid(True,which='minor')
|
||||
ax2.set_title("(b) TD observed vs. predicted", fontsize = 14)
|
||||
ax1.set_title("(a) FD observed vs. predicted", fontsize = 14)
|
||||
ax2.legend(("Obs", "Pred"), fontsize = 12)
|
||||
ax1.legend(("Obs", "Pred (real)", "Pred (imag)"), fontsize = 12, loc=3)
|
||||
ax1.set_xlim(freqs.max(), freqs.min())
|
||||
plt.show()
|
||||
|
||||
if __name__ == '__main__':
|
||||
run()
|
||||
@@ -1,14 +1,20 @@
|
||||
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(object):
|
||||
class NonLinearMap(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
"""
|
||||
SimPEG NonLinearMap
|
||||
|
||||
"""
|
||||
|
||||
__metaclass__ = Utils.SimPEGMetaClass
|
||||
|
||||
counter = None #: A SimPEG.Utils.Counter object
|
||||
mesh = None #: A SimPEG Mesh
|
||||
|
||||
@@ -31,7 +37,7 @@ class NonLinearMap(object):
|
||||
"""
|
||||
:param numpy.array u: fields
|
||||
:param numpy.array m: model
|
||||
:rtype: scipy.csr_matrix
|
||||
:rtype: scipy.sparse.csr_matrix
|
||||
:return: derivative of transformed model
|
||||
|
||||
The *transform* changes the model into the physical property.
|
||||
@@ -44,7 +50,7 @@ class NonLinearMap(object):
|
||||
"""
|
||||
:param numpy.array u: fields
|
||||
:param numpy.array m: model
|
||||
:rtype: scipy.csr_matrix
|
||||
:rtype: scipy.sparse.csr_matrix
|
||||
:return: derivative of transformed model
|
||||
|
||||
The *transform* changes the model into the physical property.
|
||||
@@ -186,7 +192,7 @@ 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
|
||||
@@ -273,7 +279,7 @@ 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
|
||||
@@ -343,7 +349,7 @@ 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
|
||||
|
||||
@@ -1,5 +1,12 @@
|
||||
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
|
||||
|
||||
|
||||
@@ -61,7 +68,7 @@ class RichardsSurvey(Survey.BaseSurvey):
|
||||
|
||||
@Utils.requires('prob')
|
||||
def eval(self, U, m):
|
||||
Ds = range(len(self.rxList))
|
||||
Ds = list(range(len(self.rxList)))
|
||||
for ii, rx in enumerate(self.rxList):
|
||||
Ds[ii] = rx.eval(U, m,
|
||||
self.prob.mapping,
|
||||
@@ -73,7 +80,7 @@ class RichardsSurvey(Survey.BaseSurvey):
|
||||
@Utils.requires('prob')
|
||||
def evalDeriv(self, U, m):
|
||||
"""The Derivative with respect to the fields."""
|
||||
Ds = range(len(self.rxList))
|
||||
Ds = list(range(len(self.rxList)))
|
||||
for ii, rx in enumerate(self.rxList):
|
||||
Ds[ii] = rx.evalDeriv(U, m,
|
||||
self.prob.mapping,
|
||||
@@ -135,12 +142,12 @@ class RichardsProblem(Problem.BaseTimeProblem):
|
||||
@Utils.timeIt
|
||||
def fields(self, m):
|
||||
tic = time.time()
|
||||
u = range(self.nT+1)
|
||||
u = list(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
|
||||
@@ -238,7 +245,7 @@ class RichardsProblem(Problem.BaseTimeProblem):
|
||||
f = self.fields(m)
|
||||
|
||||
nn = len(f)-1
|
||||
Asubs, Adiags, Bs = range(nn), range(nn), range(nn)
|
||||
Asubs, Adiags, Bs = list(range(nn)), list(range(nn)), list(range(nn))
|
||||
for ii in range(nn):
|
||||
dt = self.timeSteps[ii]
|
||||
bc = self.getBoundaryConditions(ii, f[ii])
|
||||
@@ -263,7 +270,7 @@ class RichardsProblem(Problem.BaseTimeProblem):
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
JvC = range(len(f)-1) # Cell to hold each row of the long vector.
|
||||
JvC = list(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])
|
||||
@@ -295,7 +302,7 @@ 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 = range((ii)*Adiag.shape[0], (ii+1)*Adiag.shape[0])
|
||||
vpart = list(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.
|
||||
|
||||
@@ -1,2 +1,8 @@
|
||||
import Empirical
|
||||
from RichardsProblem import *
|
||||
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 *
|
||||
|
||||
@@ -1 +1,7 @@
|
||||
import Richards
|
||||
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
|
||||
|
||||
+11
-2
@@ -1,4 +1,13 @@
|
||||
import Utils, numpy as np, scipy.sparse as sp
|
||||
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
|
||||
|
||||
class Fields(object):
|
||||
"""Fancy Field Storage
|
||||
@@ -244,7 +253,7 @@ class TimeFields(Fields):
|
||||
out = func(pointerFields, srcII, timeII)
|
||||
else: #loop over the time steps
|
||||
nT = pointerShape[2]
|
||||
out = range(nT)
|
||||
out = list(range(nT))
|
||||
for i, TIND_i in enumerate(timeII):
|
||||
fieldI = pointerFields[:,:,i]
|
||||
if fieldI.shape[0] == fieldI.size:
|
||||
|
||||
+19
-12
@@ -1,14 +1,21 @@
|
||||
import Utils, Survey, Problem, numpy as np, scipy.sparse as sp, gc
|
||||
from Utils.SolverUtils import *
|
||||
import DataMisfit
|
||||
import Regularization
|
||||
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
|
||||
|
||||
|
||||
class BaseInvProblem(object):
|
||||
class BaseInvProblem(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
"""BaseInvProblem(dmisfit, reg, opt)"""
|
||||
|
||||
__metaclass__ = Utils.SimPEGMetaClass
|
||||
|
||||
beta = 1.0 #: Trade-off parameter
|
||||
|
||||
debug = False #: Print debugging information
|
||||
@@ -54,10 +61,10 @@ class BaseInvProblem(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
|
||||
@@ -65,8 +72,8 @@ class BaseInvProblem(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
|
||||
@@ -87,7 +94,7 @@ class BaseInvProblem(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:
|
||||
|
||||
+11
-5
@@ -1,18 +1,24 @@
|
||||
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
|
||||
import Directives
|
||||
from .Optimization import Remember, IterationPrinters, StoppingCriteria
|
||||
from . import Directives
|
||||
from future.utils import with_metaclass
|
||||
|
||||
|
||||
class BaseInversion(object):
|
||||
class BaseInversion(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
"""
|
||||
|
||||
Inversion Class.
|
||||
|
||||
"""
|
||||
|
||||
__metaclass__ = Utils.SimPEGMetaClass
|
||||
|
||||
name = 'BaseInversion'
|
||||
|
||||
debug = False #: Print debugging information
|
||||
|
||||
+8
-2
@@ -1,7 +1,13 @@
|
||||
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
|
||||
from .SurveyMT import Survey, Data
|
||||
from .FieldsMT import BaseMTFields
|
||||
|
||||
|
||||
class BaseMTProblem(BaseFDEMProblem):
|
||||
|
||||
+12
-6
@@ -1,3 +1,9 @@
|
||||
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, Utils, Problem, np, sp, mkvc
|
||||
from scipy.constants import mu_0
|
||||
import sys
|
||||
@@ -63,7 +69,7 @@ class Fields1D_e(BaseMTFields):
|
||||
C = self.mesh.nodalGrad
|
||||
b = (C * eSolution)
|
||||
for i, src in enumerate(srcList):
|
||||
b[:,i] *= - 1./(1j*omega(src.freq))
|
||||
b[:,i] *= -1./(1j*omega(src.freq))
|
||||
# There is no magnetic source in the MT problem
|
||||
# S_m, _ = src.eval(self.survey.prob)
|
||||
# if S_m is not None:
|
||||
@@ -188,7 +194,7 @@ class Fields3D_e(BaseMTFields):
|
||||
# adjoint: returns a 2*nE long vector with zero's for py
|
||||
return np.vstack((v,np.zeros_like(v)))
|
||||
# Not adjoint: return only the px part of the vector
|
||||
return v[:len(v)/2]
|
||||
return v[:len(v)//2]
|
||||
|
||||
def _e_pyDeriv_u(self, src, v, adjoint = False):
|
||||
'''
|
||||
@@ -198,7 +204,7 @@ class Fields3D_e(BaseMTFields):
|
||||
# adjoint: returns a 2*nE long vector with zero's for px
|
||||
return np.vstack((np.zeros_like(v),v))
|
||||
# Not adjoint: return only the px part of the vector
|
||||
return v[len(v)/2::]
|
||||
return v[len(v)//2::]
|
||||
|
||||
def _e_pxDeriv_m(self, src, v, adjoint = False):
|
||||
# assuming primary does not depend on the model
|
||||
@@ -227,7 +233,7 @@ class Fields3D_e(BaseMTFields):
|
||||
C = self.mesh.edgeCurl
|
||||
b = (C * e_pxSolution)
|
||||
for i, src in enumerate(srcList):
|
||||
b[:,i] *= - 1./(1j*omega(src.freq))
|
||||
b[:,i] *= -1./(1j*omega(src.freq))
|
||||
# There is no magnetic source in the MT problem
|
||||
# S_m, _ = src.eval(self.survey.prob)
|
||||
# if S_m is not None:
|
||||
@@ -238,7 +244,7 @@ class Fields3D_e(BaseMTFields):
|
||||
C = self.mesh.edgeCurl
|
||||
b = (C * e_pySolution)
|
||||
for i, src in enumerate(srcList):
|
||||
b[:,i] *= - 1./(1j*omega(src.freq))
|
||||
b[:,i] *= -1./(1j*omega(src.freq))
|
||||
# There is no magnetic source in the MT problem
|
||||
# S_m, _ = src.eval(self.survey.prob)
|
||||
# if S_m is not None:
|
||||
@@ -348,4 +354,4 @@ class Fields3D_e(BaseMTFields):
|
||||
This function stacks the fields derivatives appropriately
|
||||
"""
|
||||
# The fields have no dependance to the model.
|
||||
return None
|
||||
return None
|
||||
|
||||
@@ -1,3 +1,9 @@
|
||||
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
|
||||
@@ -46,7 +52,7 @@ class eForm_psField(BaseMTProblem):
|
||||
Edge inner product matrix
|
||||
"""
|
||||
if getattr(self, '_MeMui', None) is None:
|
||||
self._MeMui = self.mesh.getEdgeInnerProduct(1.0/mu_0)
|
||||
self._MeMui = self.mesh.getEdgeInnerProduct(old_div(1.0,mu_0))
|
||||
return self._MeMui
|
||||
|
||||
@property
|
||||
@@ -142,7 +148,7 @@ class eForm_psField(BaseMTProblem):
|
||||
for freq in self.survey.freqs:
|
||||
if self.verbose:
|
||||
startTime = time.time()
|
||||
print 'Starting work for {:.3e}'.format(freq)
|
||||
print('Starting work for {:.3e}'.format(freq))
|
||||
sys.stdout.flush()
|
||||
A = self.getA(freq)
|
||||
rhs = self.getRHS(freq)
|
||||
@@ -158,7 +164,7 @@ class eForm_psField(BaseMTProblem):
|
||||
# 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)
|
||||
print('Ran for {:f} seconds'.format(time.time()-startTime))
|
||||
sys.stdout.flush()
|
||||
return F
|
||||
|
||||
@@ -191,7 +197,7 @@ class eForm_TotalField(BaseMTProblem):
|
||||
Edge inner product matrix
|
||||
"""
|
||||
if getattr(self, '_MeMui', None) is None:
|
||||
self._MeMui = self.mesh.getEdgeInnerProduct(1.0/mu_0)
|
||||
self._MeMui = self.mesh.getEdgeInnerProduct(old_div(1.0,mu_0))
|
||||
return self._MeMui
|
||||
|
||||
@property
|
||||
@@ -249,7 +255,7 @@ class eForm_TotalField(BaseMTProblem):
|
||||
Ed, Eu, Hd, Hu = getEHfields(self.mesh,self.curModel.sigma,freq,self.mesh.vectorNx)
|
||||
Etot = (Ed + Eu)
|
||||
sourceAmp = 1.0
|
||||
Etot = ((Etot/Etot[-1])*sourceAmp) # Scale the fields to be equal to sourceAmp at the top
|
||||
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
|
||||
@@ -274,7 +280,7 @@ class eForm_TotalField(BaseMTProblem):
|
||||
for freq in self.survey.freqs:
|
||||
if self.verbose:
|
||||
startTime = time.time()
|
||||
print 'Starting work for {:.3e}'.format(freq)
|
||||
print('Starting work for {:.3e}'.format(freq))
|
||||
sys.stdout.flush()
|
||||
A = self.getA(freq)
|
||||
rhs, e_o = self.getRHS(freq)
|
||||
@@ -286,6 +292,6 @@ class eForm_TotalField(BaseMTProblem):
|
||||
# NOTE: only store e fields
|
||||
F[Src, 'e_1dSolution'] = e[:,0]
|
||||
if self.verbose:
|
||||
print 'Ran for {:f} seconds'.format(time.time()-startTime)
|
||||
print('Ran for {:f} seconds'.format(time.time()-startTime))
|
||||
sys.stdout.flush()
|
||||
return F
|
||||
|
||||
@@ -1 +1,7 @@
|
||||
from Probs import eForm_TotalField, eForm_psField
|
||||
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
|
||||
@@ -1 +1,7 @@
|
||||
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
|
||||
@@ -1,3 +1,9 @@
|
||||
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
|
||||
@@ -115,7 +121,7 @@ class eForm_ps(BaseMTProblem):
|
||||
for freq in self.survey.freqs:
|
||||
if self.verbose:
|
||||
startTime = time.time()
|
||||
print 'Starting work for {:.3e}'.format(freq)
|
||||
print('Starting work for {:.3e}'.format(freq))
|
||||
sys.stdout.flush()
|
||||
A = self.getA(freq)
|
||||
rhs = self.getRHS(freq)
|
||||
@@ -131,7 +137,7 @@ class eForm_ps(BaseMTProblem):
|
||||
# Note curl e = -iwb so b = -curl/iw
|
||||
|
||||
if self.verbose:
|
||||
print 'Ran for {:f} seconds'.format(time.time()-startTime)
|
||||
print('Ran for {:f} seconds'.format(time.time()-startTime))
|
||||
sys.stdout.flush()
|
||||
Ainv.clean()
|
||||
return F
|
||||
|
||||
@@ -1 +1,7 @@
|
||||
from Probs import eForm_ps
|
||||
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
|
||||
+12
-6
@@ -1,10 +1,16 @@
|
||||
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 SimPEG import Utils, Problem, Maps, np, sp, mkvc
|
||||
from SimPEG.EM.FDEM.SrcFDEM import BaseSrc as FDEMBaseSrc
|
||||
from SimPEG.EM.Utils import omega
|
||||
from scipy.constants import mu_0
|
||||
from numpy.lib import recfunctions as recFunc
|
||||
from Utils.sourceUtils import homo1DModelSource
|
||||
from Utils import rec2ndarr
|
||||
from .Utils.sourceUtils import homo1DModelSource
|
||||
from .Utils import rec2ndarr
|
||||
import sys
|
||||
|
||||
#################
|
||||
@@ -78,7 +84,7 @@ class polxy_1Dprimary(BaseMTSrc):
|
||||
C = problem.mesh.nodalGrad
|
||||
elif problem.mesh.dim == 3:
|
||||
C = problem.mesh.edgeCurl
|
||||
bBG_bp = (- C * self.ePrimary(problem) )*(1/( 1j*omega(self.freq) ))
|
||||
bBG_bp = (- C * self.ePrimary(problem) )*(1/(1j*omega(self.freq)))
|
||||
return bBG_bp
|
||||
|
||||
def S_e(self,problem):
|
||||
@@ -86,7 +92,7 @@ class polxy_1Dprimary(BaseMTSrc):
|
||||
Get the electrical field source
|
||||
"""
|
||||
e_p = self.ePrimary(problem)
|
||||
Map_sigma_p = Maps.Vertical1DMap(problem.mesh)
|
||||
Map_sigma_p = Maps.SurjectVertical1D(problem.mesh)
|
||||
sigma_p = Map_sigma_p._transform(self.sigma1d)
|
||||
# Make mass matrix
|
||||
# Note: M(sig) - M(sig_p) = M(sig - sig_p)
|
||||
@@ -155,7 +161,7 @@ class polxy_3Dprimary(BaseMTSrc):
|
||||
C = problem.mesh.nodalGrad
|
||||
elif problem.mesh.dim == 3:
|
||||
C = problem.mesh.edgeCurl
|
||||
bBG_bp = (- C * self.ePrimary(problem) )*(1/( 1j*omega(self.freq) ))
|
||||
bBG_bp = (- C * self.ePrimary(problem) )*(1/(1j*omega(self.freq)))
|
||||
return bBG_bp
|
||||
|
||||
def S_e(self,problem):
|
||||
@@ -163,7 +169,7 @@ class polxy_3Dprimary(BaseMTSrc):
|
||||
Get the electrical field source
|
||||
"""
|
||||
e_p = self.ePrimary(problem)
|
||||
Map_sigma_p = Maps.Vertical1DMap(problem.mesh)
|
||||
Map_sigma_p = Maps.SurjectVertical1D(problem.mesh)
|
||||
sigma_p = Map_sigma_p._transform(self.sigma1d)
|
||||
# Make mass matrix
|
||||
# Note: M(sig) - M(sig_p) = M(sig - sig_p)
|
||||
|
||||
+27
-21
@@ -1,10 +1,16 @@
|
||||
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 SimPEG import Survey as SimPEGsurvey, Utils, Problem, Maps, np, sp, mkvc
|
||||
from SimPEG.EM.FDEM.SrcFDEM import BaseSrc as FDEMBaseSrc
|
||||
from SimPEG.EM.Utils import omega
|
||||
from scipy.constants import mu_0
|
||||
from numpy.lib import recfunctions as recFunc
|
||||
from Utils import rec2ndarr
|
||||
import SrcMT
|
||||
from .Utils import rec2ndarr
|
||||
from . import SrcMT
|
||||
import sys
|
||||
|
||||
#################
|
||||
@@ -76,7 +82,7 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
bx = Pbx*mkvc(f[src,'b_1d'],2)/mu_0
|
||||
# Note: Has a minus sign in front, to comply with quadrant calculations.
|
||||
# Can be derived from zyx case for the 3D case.
|
||||
f_part_complex = -ex/bx
|
||||
f_part_complex = old_div(-ex,bx)
|
||||
# elif self.projType is 'Z2D':
|
||||
elif self.projType is 'Z3D':
|
||||
## NOTE: Assumes that e is on edges and b on the faces. Need to generalize that or use a prop of fields to determine that.
|
||||
@@ -103,13 +109,13 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
hy_py = Pby*f[src,'b_py']/mu_0
|
||||
# Make the complex data
|
||||
if 'zxx' in self.rxType:
|
||||
f_part_complex = ( ex_px*hy_py - ex_py*hy_px)/(hx_px*hy_py - hx_py*hy_px)
|
||||
f_part_complex = old_div(( ex_px*hy_py - ex_py*hy_px),(hx_px*hy_py - hx_py*hy_px))
|
||||
elif 'zxy' in self.rxType:
|
||||
f_part_complex = (-ex_px*hx_py + ex_py*hx_px)/(hx_px*hy_py - hx_py*hy_px)
|
||||
f_part_complex = old_div((-ex_px*hx_py + ex_py*hx_px),(hx_px*hy_py - hx_py*hy_px))
|
||||
elif 'zyx' in self.rxType:
|
||||
f_part_complex = ( ey_px*hy_py - ey_py*hy_px)/(hx_px*hy_py - hx_py*hy_px)
|
||||
f_part_complex = old_div(( ey_px*hy_py - ey_py*hy_px),(hx_px*hy_py - hx_py*hy_px))
|
||||
elif 'zyy' in self.rxType:
|
||||
f_part_complex = (-ey_px*hx_py + ey_py*hx_px)/(hx_px*hy_py - hx_py*hy_px)
|
||||
f_part_complex = old_div((-ey_px*hx_py + ey_py*hx_px),(hx_px*hy_py - hx_py*hy_px))
|
||||
elif self.projType is 'T3D':
|
||||
if self.locs.ndim == 3:
|
||||
horLoc = self.locs[:,:,0]
|
||||
@@ -127,9 +133,9 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
by_py = Pby*f[src,'b_py']
|
||||
bz_py = Pbz*f[src,'b_py']
|
||||
if 'tzx' in self.rxType:
|
||||
f_part_complex = (- by_px*bz_py + by_py*bz_px)/(bx_px*by_py - bx_py*by_px)
|
||||
f_part_complex = old_div((- by_px*bz_py + by_py*bz_px),(bx_px*by_py - bx_py*by_px))
|
||||
if 'tzy' in self.rxType:
|
||||
f_part_complex = ( bx_px*bz_py - bx_py*bz_px)/(bx_px*by_py - bx_py*by_px)
|
||||
f_part_complex = old_div(( bx_px*bz_py - bx_py*bz_px),(bx_px*by_py - bx_py*by_px))
|
||||
|
||||
else:
|
||||
NotImplementedError('Projection of {:s} receiver type is not implemented.'.format(self.rxType))
|
||||
@@ -157,8 +163,8 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
Pbx = mesh.getInterpolationMat(self.locs[:,-1],'Ex')
|
||||
# ex = Pex*mkvc(f[src,'e_1d'],2)
|
||||
# bx = Pbx*mkvc(f[src,'b_1d'],2)/mu_0
|
||||
dP_de = -mkvc(Utils.sdiag(1./(Pbx*mkvc(f[src,'b_1d'],2)/mu_0))*(Pex*v),2)
|
||||
dP_db = mkvc( Utils.sdiag(Pex*mkvc(f[src,'e_1d'],2))*(Utils.sdiag(1./(Pbx*mkvc(f[src,'b_1d'],2)/mu_0)).T*Utils.sdiag(1./(Pbx*mkvc(f[src,'b_1d'],2)/mu_0)))*(Pbx*f._bDeriv_u(src,v)/mu_0),2)
|
||||
dP_de = -mkvc(Utils.sdiag(old_div(1.,(Pbx*mkvc(f[src,'b_1d'],2)/mu_0)))*(Pex*v),2)
|
||||
dP_db = mkvc( Utils.sdiag(Pex*mkvc(f[src,'e_1d'],2))*(Utils.sdiag(old_div(1.,(Pbx*mkvc(f[src,'b_1d'],2)/mu_0))).T*Utils.sdiag(old_div(1.,(Pbx*mkvc(f[src,'b_1d'],2)/mu_0))))*(Pbx*f._bDeriv_u(src,v)/mu_0),2)
|
||||
PDeriv_complex = np.sum(np.hstack((dP_de,dP_db)),1)
|
||||
elif self.projType is 'Z2D':
|
||||
raise NotImplementedError('Has not been implement for 2D impedance tensor')
|
||||
@@ -198,7 +204,7 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
# Update the input vector
|
||||
sDiag = lambda t: Utils.sdiag(mkvc(t,2))
|
||||
# Define the components of the derivative
|
||||
Hd = sDiag(1./(sDiag(hx_px)*hy_py - sDiag(hx_py)*hy_px))
|
||||
Hd = sDiag(old_div(1.,(sDiag(hx_px)*hy_py - sDiag(hx_py)*hy_px)))
|
||||
Hd_uV = sDiag(hy_py)*hx_px_u(v) + sDiag(hx_px)*hy_py_u(v) - sDiag(hx_py)*hy_px_u(v) - sDiag(hy_px)*hx_py_u(v)
|
||||
# Calculate components
|
||||
if 'zxx' in self.rxType:
|
||||
@@ -247,7 +253,7 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
# Update the input vector
|
||||
sDiag = lambda t: Utils.sdiag(mkvc(t,2))
|
||||
# Define the components of the derivative
|
||||
Hd = sDiag(1./(sDiag(bx_px)*by_py - sDiag(bx_py)*by_px))
|
||||
Hd = sDiag(old_div(1.,(sDiag(bx_px)*by_py - sDiag(bx_py)*by_px)))
|
||||
Hd_uV = sDiag(by_py)*bx_px_u(v) + sDiag(bx_px)*by_py_u(v) - sDiag(bx_py)*by_px_u(v) - sDiag(by_px)*bx_py_u(v)
|
||||
if 'tzx' in self.rxType:
|
||||
Tij = sDiag(Hd*( - sDiag(by_px)*bz_py + sDiag(by_py)*bz_px ))
|
||||
@@ -267,8 +273,8 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
Pbx = mesh.getInterpolationMat(self.locs[:,-1],'Ex')
|
||||
# ex = Pex*mkvc(f[src,'e_1d'],2)
|
||||
# bx = Pbx*mkvc(f[src,'b_1d'],2)/mu_0
|
||||
dP_deTv = -mkvc(Pex.T*Utils.sdiag(1./(Pbx*mkvc(f[src,'b_1d'],2)/mu_0)).T*v,2)
|
||||
db_duv = Pbx.T/mu_0*Utils.sdiag(1./(Pbx*mkvc(f[src,'b_1d'],2)/mu_0))*(Utils.sdiag(1./(Pbx*mkvc(f[src,'b_1d'],2)/mu_0))).T*Utils.sdiag(Pex*mkvc(f[src,'e_1d'],2)).T*v
|
||||
dP_deTv = -mkvc(Pex.T*Utils.sdiag(old_div(1.,(Pbx*mkvc(f[src,'b_1d'],2)/mu_0))).T*v,2)
|
||||
db_duv = Pbx.T/mu_0*Utils.sdiag(old_div(1.,(Pbx*mkvc(f[src,'b_1d'],2)/mu_0)))*(Utils.sdiag(old_div(1.,(Pbx*mkvc(f[src,'b_1d'],2)/mu_0)))).T*Utils.sdiag(Pex*mkvc(f[src,'e_1d'],2)).T*v
|
||||
dP_dbTv = mkvc(f._bDeriv_u(src,db_duv,adjoint=True),2)
|
||||
PDeriv_real = np.sum(np.hstack((dP_deTv,dP_dbTv)),1)
|
||||
elif self.projType is 'Z2D':
|
||||
@@ -300,17 +306,17 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
aey_px_u = lambda vec: f._e_pxDeriv_u(src,Pey.T*vec,adjoint=True)
|
||||
aex_py_u = lambda vec: f._e_pyDeriv_u(src,Pex.T*vec,adjoint=True)
|
||||
aey_py_u = lambda vec: f._e_pyDeriv_u(src,Pey.T*vec,adjoint=True)
|
||||
ahx_px_u = lambda vec: f._b_pxDeriv_u(src,Pbx.T*vec,adjoint=True)/mu_0
|
||||
ahy_px_u = lambda vec: f._b_pxDeriv_u(src,Pby.T*vec,adjoint=True)/mu_0
|
||||
ahx_py_u = lambda vec: f._b_pyDeriv_u(src,Pbx.T*vec,adjoint=True)/mu_0
|
||||
ahy_py_u = lambda vec: f._b_pyDeriv_u(src,Pby.T*vec,adjoint=True)/mu_0
|
||||
ahx_px_u = lambda vec: old_div(f._b_pxDeriv_u(src,Pbx.T*vec,adjoint=True),mu_0)
|
||||
ahy_px_u = lambda vec: old_div(f._b_pxDeriv_u(src,Pby.T*vec,adjoint=True),mu_0)
|
||||
ahx_py_u = lambda vec: old_div(f._b_pyDeriv_u(src,Pbx.T*vec,adjoint=True),mu_0)
|
||||
ahy_py_u = lambda vec: old_div(f._b_pyDeriv_u(src,Pby.T*vec,adjoint=True),mu_0)
|
||||
|
||||
# Update the input vector
|
||||
# Define shortcuts
|
||||
sDiag = lambda t: Utils.sdiag(mkvc(t,2))
|
||||
sVec = lambda t: Utils.sp.csr_matrix(mkvc(t,2))
|
||||
# Define the components of the derivative
|
||||
aHd = sDiag(1./(sDiag(ahx_px)*ahy_py - sDiag(ahx_py)*ahy_px))
|
||||
aHd = sDiag(old_div(1.,(sDiag(ahx_px)*ahy_py - sDiag(ahx_py)*ahy_px)))
|
||||
aHd_uV = lambda x: ahx_px_u(sDiag(ahy_py)*x) + ahx_px_u(sDiag(ahy_py)*x) - ahy_px_u(sDiag(ahx_py)*x) - ahx_py_u(sDiag(ahy_px)*x)
|
||||
# Need to fix this to reflect the adjoint
|
||||
if 'zxx' in self.rxType:
|
||||
@@ -362,7 +368,7 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
sDiag = lambda t: Utils.sdiag(mkvc(t,2))
|
||||
sVec = lambda t: Utils.sp.csr_matrix(mkvc(t,2))
|
||||
# Define the components of the derivative
|
||||
aHd = sDiag(1./(sDiag(abx_px)*aby_py - sDiag(abx_py)*aby_px))
|
||||
aHd = sDiag(old_div(1.,(sDiag(abx_px)*aby_py - sDiag(abx_py)*aby_px)))
|
||||
aHd_uV = lambda x: abx_px_u(sDiag(aby_py)*x) + abx_px_u(sDiag(aby_py)*x) - aby_px_u(sDiag(abx_py)*x) - abx_py_u(sDiag(aby_px)*x)
|
||||
# Need to fix this to reflect the adjoint
|
||||
if 'tzx' in self.rxType:
|
||||
|
||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user