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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 ipywidgets 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:
|
||||
|
||||
+5
-1
@@ -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
|
||||
|
||||
======
|
||||
@@ -29,6 +29,10 @@ SimPEG
|
||||
: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))
|
||||
|
||||
+82
-49
@@ -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()
|
||||
@@ -212,40 +223,48 @@ 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):
|
||||
"""
|
||||
Saves inversion parameters at every iteraion.
|
||||
|
||||
|
||||
"""
|
||||
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):
|
||||
|
||||
# Initialize the output dict
|
||||
outDict = {}
|
||||
# Save the data.
|
||||
outDict['iter'] = self.opt.iter
|
||||
outDict['beta'] = self.invProb.beta
|
||||
outDict['phi_d'] = self.invProb.phi_d
|
||||
outDict['phi_ms'] = self.reg._evalSmall(self.invProb.curModel)
|
||||
outDict['phi_mx'] = self.reg._evalSmoothx(self.invProb.curModel)
|
||||
outDict['phi_my'] = self.reg._evalSmoothy(self.invProb.curModel) if self.prob.mesh.dim >= 2 else 'NaN'
|
||||
outDict['phi_mz'] = self.reg._evalSmoothz(self.invProb.curModel) if self.prob.mesh.dim==3 else 'NaN'
|
||||
outDict['f'] = self.opt.f
|
||||
outDict['m'] = self.invProb.curModel
|
||||
outDict['dpred'] = self.invProb.dpred
|
||||
ms = self.reg.Ws * ( self.reg.mapping * (self.invProb.curModel - self.reg.mref) )
|
||||
phi_ms = 0.5*ms.dot(ms)
|
||||
if self.reg.mrefInSmooth == True:
|
||||
mref = self.reg.mref
|
||||
else:
|
||||
mref = 0
|
||||
mx = self.reg.Wx * ( self.reg.mapping * (self.invProb.curModel - mref) )
|
||||
phi_mx = 0.5 * mx.dot(mx)
|
||||
if self.prob.mesh.dim >= 2:
|
||||
my = self.reg.Wy * ( self.reg.mapping * (self.invProb.curModel - mref) )
|
||||
phi_my = 0.5 * my.dot(my)
|
||||
else:
|
||||
phi_my = 'NaN'
|
||||
if self.prob.mesh.dim==3:
|
||||
mz = self.reg.Wz * ( self.reg.mapping * (self.invProb.curModel - mref) )
|
||||
phi_mz = 0.5 * mz.dot(mz)
|
||||
else:
|
||||
phi_mz = 'NaN'
|
||||
|
||||
|
||||
# Save the file as a npz
|
||||
np.savez('{:03d}-{:s}'.format(self.opt.iter,self.fileName), outDict)
|
||||
np.savez('{:03d}-{:s}'.format(self.opt.iter,self.fileName), iter=self.opt.iter, beta=self.invProb.beta, phi_d=self.invProb.phi_d, phi_m=self.invProb.phi_m, phi_ms=phi_ms, phi_mx=phi_mx, phi_my=phi_my, phi_mz=phi_mz,f=self.opt.f, m=self.invProb.curModel,dpred=self.invProb.dpred)
|
||||
|
||||
# mref = getattr(self, 'm_prev', None)
|
||||
# if mref is None:
|
||||
# if self.debug: print 'UpdateReferenceModel is using mref0'
|
||||
# mref = self.mref0
|
||||
# self.m_prev = self.invProb.m_current
|
||||
# return mref
|
||||
|
||||
class Update_IRLS(InversionDirective):
|
||||
|
||||
eps_min = None
|
||||
eps_p = None
|
||||
eps_q = None
|
||||
eps = None
|
||||
norms = [2.,2.,2.,2.]
|
||||
factor = None
|
||||
gamma = None
|
||||
@@ -254,6 +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
|
||||
@@ -285,12 +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
|
||||
@@ -306,7 +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
|
||||
|
||||
|
||||
@@ -318,30 +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)
|
||||
|
||||
@@ -56,7 +63,7 @@ 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)
|
||||
|
||||
@@ -70,7 +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)
|
||||
|
||||
@@ -84,7 +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)
|
||||
|
||||
@@ -92,7 +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?
|
||||
@@ -100,7 +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)
|
||||
@@ -110,7 +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?
|
||||
@@ -118,7 +125,7 @@ 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)
|
||||
@@ -128,7 +135,7 @@ class Fields(SimPEG.Problem.Fields):
|
||||
"""
|
||||
Total derivative of h with respect to the inversion model. Returns :math:`d\mathbf{h}/d\mathbf{m}` for forward and (:math:`d\mathbf{h}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
|
||||
|
||||
:param Src src: sorce
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
|
||||
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
|
||||
:param numpy.ndarray v: vector to take sensitivity product with
|
||||
:param bool adjoint: adjoint?
|
||||
@@ -136,7 +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)
|
||||
@@ -146,7 +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?
|
||||
@@ -154,18 +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'}
|
||||
@@ -180,9 +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
|
||||
@@ -288,7 +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
|
||||
@@ -348,7 +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:
|
||||
@@ -385,8 +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)))
|
||||
|
||||
@@ -400,7 +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))
|
||||
@@ -417,7 +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))
|
||||
@@ -426,12 +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'}
|
||||
@@ -446,9 +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
|
||||
@@ -613,7 +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 ) ) )
|
||||
@@ -630,7 +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) ) )
|
||||
@@ -658,7 +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)))
|
||||
|
||||
@@ -673,7 +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:
|
||||
@@ -693,12 +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'}
|
||||
@@ -713,9 +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
|
||||
@@ -899,7 +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)))
|
||||
|
||||
@@ -913,7 +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 ) )
|
||||
@@ -930,7 +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 ) )
|
||||
@@ -945,7 +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)) )
|
||||
@@ -960,7 +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:
|
||||
@@ -978,7 +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)
|
||||
|
||||
@@ -988,12 +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'}
|
||||
@@ -1008,9 +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
|
||||
@@ -1163,7 +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)))
|
||||
|
||||
@@ -1177,7 +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 ) ) )
|
||||
@@ -1194,7 +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) ) )
|
||||
@@ -1210,7 +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))
|
||||
@@ -1225,7 +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
|
||||
|
||||
@@ -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
|
||||
|
||||
+34
-28
@@ -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
|
||||
"""
|
||||
@@ -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
|
||||
|
||||
+24
-17
@@ -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)
|
||||
|
||||
|
||||
@@ -1,7 +1,13 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import Utils, Survey, np
|
||||
from SimPEG.Survey import BaseSurvey
|
||||
from SimPEG.EM.Utils import *
|
||||
from BaseTDEM import FieldsTDEM
|
||||
from .BaseTDEM import FieldsTDEM
|
||||
|
||||
|
||||
class RxTDEM(Survey.BaseTimeRx):
|
||||
@@ -87,7 +93,7 @@ class SrcTDEM_VMD_MVP(SrcTDEM):
|
||||
def getInitialFields(self, mesh):
|
||||
"""Vertical magnetic dipole, magnetic vector potential"""
|
||||
if self.waveformType == "STEPOFF":
|
||||
print ">> Step waveform: Non-zero initial condition"
|
||||
print(">> Step waveform: Non-zero initial condition")
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, 'Ey')
|
||||
@@ -99,7 +105,7 @@ class SrcTDEM_VMD_MVP(SrcTDEM):
|
||||
raise Exception('Unknown mesh for VMD')
|
||||
return {"b": mesh.edgeCurl*MVP}
|
||||
elif self.waveformType == "GENERAL":
|
||||
print ">> General waveform: Zero initial condition"
|
||||
print(">> General waveform: Zero initial condition")
|
||||
return {"b": np.zeros(mesh.nF)}
|
||||
else:
|
||||
raise NotImplementedError("Only use STEPOFF or GENERAL")
|
||||
@@ -127,7 +133,7 @@ class SrcTDEM_CircularLoop_MVP(SrcTDEM):
|
||||
def getInitialFields(self, mesh):
|
||||
"""Circular Loop, magnetic vector potential"""
|
||||
if self.waveformType == "STEPOFF":
|
||||
print ">> Step waveform: Non-zero initial condition"
|
||||
print(">> Step waveform: Non-zero initial condition")
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, 'Ey', self.radius)
|
||||
@@ -139,7 +145,7 @@ class SrcTDEM_CircularLoop_MVP(SrcTDEM):
|
||||
raise Exception('Unknown mesh for CircularLoop')
|
||||
return {"b": mesh.edgeCurl*MVP}
|
||||
elif self.waveformType == "GENERAL":
|
||||
print ">> General waveform: Zero initial condition"
|
||||
print(">> General waveform: Zero initial condition")
|
||||
return {"b": np.zeros(mesh.nF)}
|
||||
else:
|
||||
raise NotImplementedError("Only use STEPOFF or GENERAL")
|
||||
|
||||
+22
-15
@@ -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 SurveyTDEM import * #SurveyTDEM, RxTDEM, SrcTDEM
|
||||
from BaseTDEM import BaseTDEMProblem, FieldsTDEM
|
||||
from TDEM_b import ProblemTDEM_b
|
||||
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
|
||||
|
||||
@@ -1,3 +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
|
||||
|
||||
@@ -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 *
|
||||
|
||||
|
||||
|
||||
@@ -1,15 +1,19 @@
|
||||
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
|
||||
from SimPEG import NSEM
|
||||
import SimPEG.MT as MT
|
||||
from scipy.constants import mu_0
|
||||
import matplotlib.pyplot as plt
|
||||
|
||||
np.random.seed(1983)
|
||||
|
||||
def run(plotIt=True):
|
||||
"""
|
||||
MT: 1D: Inversion
|
||||
=======================
|
||||
=================
|
||||
|
||||
Forward model 1D MT data.
|
||||
Setup and run a MT 1D inversion.
|
||||
@@ -19,13 +23,13 @@ def run(plotIt=True):
|
||||
## Setup the forward modeling
|
||||
# Setting up 1D mesh and conductivity models to forward model data.
|
||||
# Frequency
|
||||
nFreq = 26
|
||||
freqs = np.logspace(2,-3,nFreq)
|
||||
nFreq = 31
|
||||
freqs = np.logspace(3,-3,nFreq)
|
||||
# Set mesh parameters
|
||||
ct = 10
|
||||
air = simpeg.Utils.meshTensor([(ct,25,1.4)])
|
||||
ct = 20
|
||||
air = simpeg.Utils.meshTensor([(ct,16,1.4)])
|
||||
core = np.concatenate( ( np.kron(simpeg.Utils.meshTensor([(ct,10,-1.3)]),np.ones((5,))) , simpeg.Utils.meshTensor([(ct,5)]) ) )
|
||||
bot = simpeg.Utils.meshTensor([(core[0],25,-1.4)])
|
||||
bot = simpeg.Utils.meshTensor([(core[0],10,-1.4)])
|
||||
x0 = -np.array([np.sum(np.concatenate((core,bot)))])
|
||||
# Make the model
|
||||
m1d = simpeg.Mesh.TensorMesh([np.concatenate((bot,core,air))], x0=x0)
|
||||
@@ -35,7 +39,7 @@ def run(plotIt=True):
|
||||
layer1 = (m1d.vectorCCx<-500.) & (m1d.vectorCCx>=-800.)
|
||||
layer2 = (m1d.vectorCCx<-3500.) & (m1d.vectorCCx>=-5000.)
|
||||
# Set the conductivity values
|
||||
sig_half = 1e-2
|
||||
sig_half = 2e-3
|
||||
sig_air = 1e-8
|
||||
sig_layer1 = .2
|
||||
sig_layer2 = .2
|
||||
@@ -59,31 +63,31 @@ def run(plotIt=True):
|
||||
# Receivers
|
||||
rxList = []
|
||||
for rxType in ['z1dr','z1di']:
|
||||
rxList.append(NSEM.Rx(simpeg.mkvc(np.array([-0.5]),2).T,rxType))
|
||||
rxList.append(MT.Rx(simpeg.mkvc(np.array([0.0]),2).T,rxType))
|
||||
# Source list
|
||||
srcList =[]
|
||||
for freq in freqs:
|
||||
srcList.append(NSEM.SrcNSEM.polxy_1Dprimary(rxList,freq))
|
||||
srcList.append(MT.SrcMT.polxy_1Dprimary(rxList,freq))
|
||||
# Make the survey
|
||||
survey = NSEM.Survey(srcList)
|
||||
survey = MT.Survey(srcList)
|
||||
survey.mtrue = m_true
|
||||
|
||||
## Set the problem
|
||||
problem = NSEM.Problem1D_ePrimSec(m1d,sigmaPrimary=sigma_0,mapping=mappingExpAct)
|
||||
problem = MT.Problem1D.eForm_psField(m1d,sigmaPrimary=sigma_0,mapping=mappingExpAct)
|
||||
problem.pair(survey)
|
||||
|
||||
## Forward model data
|
||||
# Project the data
|
||||
survey.dtrue = survey.dpred(m_true)
|
||||
survey.dobs = survey.dtrue + 0.01*abs(survey.dtrue)*np.random.randn(*survey.dtrue.shape)
|
||||
survey.dobs = survey.dtrue + 0.025*abs(survey.dtrue)*np.random.randn(*survey.dtrue.shape)
|
||||
|
||||
if plotIt:
|
||||
fig = NSEM.Utils.dataUtils.plotMT1DModelData(problem,[])
|
||||
fig = MT.Utils.dataUtils.plotMT1DModelData(problem, [m_0])
|
||||
fig.suptitle('Target - smooth true')
|
||||
|
||||
|
||||
# Assign uncertainties
|
||||
std = 0.025 # 5% std
|
||||
std = 0.05 # 5% std
|
||||
survey.std = np.abs(survey.dobs*std)
|
||||
# Assign the data weight
|
||||
Wd = 1./survey.std
|
||||
@@ -92,33 +96,30 @@ def run(plotIt=True):
|
||||
# Define a counter
|
||||
C = simpeg.Utils.Counter()
|
||||
# Set the optimization
|
||||
opt = simpeg.Optimization.ProjectedGNCG(maxIter = 25)
|
||||
opt = simpeg.Optimization.InexactGaussNewton(maxIter = 30)
|
||||
opt.counter = C
|
||||
opt.lower = np.log(1e-4)
|
||||
opt.upper = np.log(5)
|
||||
opt.LSshorten = 0.1
|
||||
opt.LSshorten = 0.5
|
||||
opt.remember('xc')
|
||||
# Data misfit
|
||||
dmis = simpeg.DataMisfit.l2_DataMisfit(survey)
|
||||
dmis.Wd = Wd
|
||||
# Regularization - with a regularization mesh
|
||||
regMesh = simpeg.Mesh.TensorMesh([m1d.hx[active]],m1d.x0)
|
||||
regMesh = simpeg.Mesh.TensorMesh([m1d.hx[problem.mapping.sigmaMap.maps[-1].indActive]],m1d.x0)
|
||||
reg = simpeg.Regularization.Tikhonov(regMesh)
|
||||
reg.mrefInSmooth = True
|
||||
reg.alpha_s = 1e-1
|
||||
reg.alpha_s = 1e-7
|
||||
reg.alpha_x = 1.
|
||||
|
||||
# Inversion problem
|
||||
invProb = simpeg.InvProblem.BaseInvProblem(dmis, reg, opt)
|
||||
invProb.counter = C
|
||||
# Beta cooling
|
||||
beta = simpeg.Directives.BetaSchedule()
|
||||
beta.coolingRate = 4.
|
||||
beta.coolingFactor = 4.
|
||||
betaest = simpeg.Directives.BetaEstimate_ByEig(beta0_ratio=1.)
|
||||
betaest.beta0 = 1.
|
||||
beta.coolingRate = 4
|
||||
betaest = simpeg.Directives.BetaEstimate_ByEig(beta0_ratio=0.75)
|
||||
targmis = simpeg.Directives.TargetMisfit()
|
||||
targmis.target = survey.nD
|
||||
saveModel = simpeg.Directives.SaveModelEveryIteration()
|
||||
saveModel.fileName = 'Inversion_TargMisEqnD_smoothTrue'
|
||||
# Create an inversion object
|
||||
inv = simpeg.Inversion.BaseInversion(invProb, directiveList=[beta,betaest,targmis])
|
||||
|
||||
@@ -126,9 +127,8 @@ def run(plotIt=True):
|
||||
mopt = inv.run(m_0)
|
||||
|
||||
if plotIt:
|
||||
fig = NSEM.Utils.dataUtils.plotMT1DModelData(problem,[mopt])
|
||||
fig = MT.Utils.dataUtils.plotMT1DModelData(problem,[mopt])
|
||||
fig.suptitle('Target - smooth true')
|
||||
fig.axes[0].set_ylim([-10000,500])
|
||||
plt.show()
|
||||
|
||||
if __name__ == '__main__':
|
||||
|
||||
@@ -1,428 +0,0 @@
|
||||
from scipy.constants import epsilon_0, mu_0
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
from ipywidgets import *
|
||||
from SimPEG.EM.Utils import k, omega
|
||||
|
||||
"""
|
||||
MT1D: n layered earth problem
|
||||
*****************************
|
||||
|
||||
Author: Thibaut Astic
|
||||
Contact: thast@eos.ubc.ca
|
||||
Date: January 2016
|
||||
|
||||
This code compute the analytic response of a n-layered Earth to a plane wave (Magneto-Tellurics).
|
||||
|
||||
We start by looking at Maxwell's equations in the electric
|
||||
field \\\(\\\mathbf{E}\\) and the magnetic flux
|
||||
\\\(\\\mathbf{H}\\) to write the wave equations
|
||||
\\(\\ \nabla ^2 \mathbf{E_x} + k^2 \mathbf{E_x} = 0 \\) &
|
||||
\\(\\ \nabla ^2 \mathbf{H_y} + k^2 \mathbf{H_y} = 0 \\)
|
||||
|
||||
Then solving the equations in each layer "j" between z_{j-1} and z_j in the form of
|
||||
\\(\\ E_{x,j} (z) = U_j e^{i k (z-z_{j-1})} + D_j e^{-i k (z-z_{j-1})} \\)
|
||||
\\(\\ H_{y,j} (z) = \frac{1}{Z_j} (D_j e^{-i k (z-z_{j-1})} - U_j e^{i k (z-z_{j-1})}) \\)
|
||||
|
||||
With U and D the Up and Down components of the E-field.
|
||||
|
||||
The iteration from one layer to another is ensure by:
|
||||
|
||||
\\(\\ \left(\begin{matrix} E_{x,j} \\ H_{y,j} \end{matrix} \right) =
|
||||
P_j T_j P^{-1}_J \left(\begin{matrix} E_{x,j+1} \\ H_{y,j+1} \end{matrix} \right) \\)
|
||||
|
||||
And the Boundary Condition is set for the E-field in the last layer, with no Up component (=0)
|
||||
and only a down component (=1 then normalized by the highest amplitude to ensure numeric stability)
|
||||
|
||||
The layer 0 is assumed to be the air layer.
|
||||
|
||||
"""
|
||||
|
||||
#Define a frquency range for a survey
|
||||
frange = lambda minfreq, maxfreq, step: np.logspace(minfreq,maxfreq,num = step, base = 10.)
|
||||
|
||||
#Functions to create random physical Perties for a n-layered earth
|
||||
thick = lambda minthick, maxthick, nlayer: np.append(np.array([1.2*10.**5]),
|
||||
np.ndarray.round(minthick + (maxthick-minthick)* np.random.rand(nlayer-1,1)
|
||||
,decimals =1))
|
||||
|
||||
sig = lambda minsig, maxsig, nlayer: np.append(np.array([0.]),
|
||||
np.ndarray.round(10.**minsig + (10.**maxsig-10.**minsig)* np.random.rand(nlayer,1)
|
||||
,decimals=3))
|
||||
|
||||
mu = lambda minmu, maxmu, nlayer: np.append(np.array([1.]),
|
||||
np.ndarray.round(minmu + (maxmu-minmu)* np.random.rand(nlayer,1)
|
||||
,decimals=1))
|
||||
|
||||
eps = lambda mineps, maxeps, nlayer: np.append(np.array([1.]),
|
||||
np.ndarray.round(mineps + (maxeps-mineps)* np.random.rand(nlayer,1)
|
||||
,decimals=1))
|
||||
|
||||
#Evaluate Impedance Z of a layer
|
||||
ImpZ = lambda f, mu, k: omega(f)*mu*mu_0/k
|
||||
|
||||
#Complex Cole-Cole Conductivity - EM utils
|
||||
PCC= lambda siginf,m,t,c,f: siginf*(1.-(m/(1.+(1j*omega(f)*t)**c)))
|
||||
|
||||
#Converted thickness array into top of layer array
|
||||
top = lambda thick: np.cumsum(thick)
|
||||
|
||||
#Propagation Matrix and theirs inverses
|
||||
|
||||
#matrix T for transition of Up and Down components accross a layer
|
||||
T = lambda h,k: np.matrix([[np.exp(1j*k*h),0.],[0.,np.exp(-1j*k*h)]],dtype='complex_')
|
||||
|
||||
Tinv = lambda h,k: np.matrix([[np.exp(-1j*k*h),0.],[0.,np.exp(1j*k*h)]],dtype='complex_')
|
||||
|
||||
#transition of Up and Down components accross a layer
|
||||
UD_Z = lambda UD,z,zj,k : T((z-zj),k)*UD
|
||||
|
||||
|
||||
#matrix P relating Up and Down components with E and H fields
|
||||
P = lambda z: np.matrix([[1.,1,],[-1./z,1./z]],dtype='complex_')
|
||||
|
||||
Pinv = lambda z: np.matrix([[1.,-z],[1.,z]],dtype='complex_')/2.
|
||||
|
||||
|
||||
#Time Variation of E and H
|
||||
E_ZT = lambda U,D,f,t : np.exp(1j*omega(f)*t)*(U+D)
|
||||
H_ZT = lambda U,D,Z,f,t : (1./Z)*np.exp(1j*omega(f)*t)*(D-U)
|
||||
|
||||
#Plot the configuration of the problem
|
||||
def PlotConfiguration(thick,sig,eps,mu,ax,widthg,z):
|
||||
|
||||
topn = top(thick)
|
||||
widthn = np.arange(-widthg,widthg+widthg/10.,widthg/10.)
|
||||
|
||||
ax.set_ylim([z.min(),z.max()])
|
||||
ax.set_xlim([-widthg,widthg])
|
||||
|
||||
ax.set_ylabel("Depth (m)", fontsize=16.)
|
||||
ax.yaxis.tick_right()
|
||||
ax.yaxis.set_label_position("right")
|
||||
|
||||
#define filling for the different layers
|
||||
hatches=['/' , '+', 'x', '|' , '\\', '-' , 'o' , 'O' , '.' , '*' ]
|
||||
|
||||
#Write the physical properties of air
|
||||
ax.annotate(("Air, $\sigma$ =%1.0f mS/m")%(sig[0]*10**(3)),
|
||||
xy=(-widthg/2., -np.abs(z.max())/2.), xycoords='data',
|
||||
xytext=(-widthg/2., -np.abs(z.max())/2.), textcoords='data',
|
||||
fontsize=14.)
|
||||
|
||||
ax.annotate(("$\epsilon_r$= %1i")%(eps[0]),
|
||||
xy=(-widthg/2., -np.abs(z.max())/3.), xycoords='data',
|
||||
xytext=(-widthg/2., -np.abs(z.max())/3.), textcoords='data',
|
||||
fontsize=14.)
|
||||
|
||||
ax.annotate(("$\mu_r$= %1i")%(mu[0]),
|
||||
xy=(-widthg/2., -np.abs(z.max())/3.), xycoords='data',
|
||||
xytext=(0, -np.abs(z.max())/3.), textcoords='data',
|
||||
fontsize=14.)
|
||||
|
||||
#Write the physical properties of the differents layers up to the (n-1)-th and fill it with pattern
|
||||
for i in range(1,len(topn)-1,1):
|
||||
if topn[i] == topn[i+1]:
|
||||
pass
|
||||
else:
|
||||
ax.annotate(("$\sigma$ =%3.3f mS/m")%(sig[i]*10**(3)),
|
||||
xy=(0., (2.*topn[i]+topn[i+1])/3), xycoords='data',
|
||||
xytext=(0., (2.*topn[i]+topn[i+1])/3), textcoords='data',
|
||||
fontsize=14.)
|
||||
|
||||
ax.annotate(("$\epsilon_r$= %1i")%(eps[i]),
|
||||
xy=(-widthg/1.1, (2.*topn[i]+topn[i+1])/3), xycoords='data',
|
||||
xytext=(-widthg/1.1, (2.*topn[i]+topn[i+1])/3), textcoords='data',
|
||||
fontsize=14.)
|
||||
|
||||
ax.annotate(("$\mu_r$= %1.2f")%(mu[i]),
|
||||
xy=(-widthg/2., (2.*topn[i]+topn[i+1])/3), xycoords='data',
|
||||
xytext=(-widthg/2., (2.*topn[i]+topn[i+1])/3), textcoords='data',
|
||||
fontsize=14.)
|
||||
|
||||
ax.plot(widthn,topn[i]*np.ones_like(widthn),color='black')
|
||||
ax.fill_between(widthn,topn[i],topn[i+1],alpha=0.3,color="none",edgecolor='black', hatch=hatches[(i-1)%10])
|
||||
|
||||
#Write the physical properties of the n-th layer and fill it with pattern
|
||||
ax.plot(widthn,topn[-1]*np.ones_like(widthn),color='black')
|
||||
ax.fill_between(widthn,topn[-1],z.max(),alpha=0.3,color="none",edgecolor='black', hatch=hatches[(len(topn)-2)%10])
|
||||
|
||||
ax.annotate(("$\sigma$ =%3.3f mS/m")%(sig[-1]*10**(3)),
|
||||
xy=(0., (2.*topn[-1]+z.max())/3), xycoords='data',
|
||||
xytext=(0., (2.*topn[-1]+z.max())/3), textcoords='data',
|
||||
fontsize=14.)
|
||||
|
||||
ax.annotate(("$\epsilon_r$= %1i")%(eps[-1]),
|
||||
xy=(-widthg/1.1, (2.*topn[-1]+z.max())/3), xycoords='data',
|
||||
xytext=(-widthg/1.1, (2.*topn[-1]+z.max())/3), textcoords='data',
|
||||
fontsize=14.)
|
||||
|
||||
ax.annotate(("$\mu_r$= %1.2f")%(mu[-1]),
|
||||
xy=(-widthg/2., (2.*topn[-1]+z.max())/3), xycoords='data',
|
||||
xytext=(-widthg/2., (2.*topn[-1]+z.max())/3), textcoords='data',
|
||||
fontsize=14.)
|
||||
|
||||
#plot Trees!
|
||||
ax.annotate("",
|
||||
xy=(widthg/2., -1.*z.max()/5.), xycoords='data',
|
||||
xytext=(widthg/2., 0.), textcoords='data',
|
||||
arrowprops=dict(arrowstyle='->, head_width=1.2,head_length=1.2',color='green',linewidth=2.)
|
||||
)
|
||||
|
||||
ax.annotate("",
|
||||
xy=(widthg/2., -3./4.*z.max()/5.), xycoords='data',
|
||||
xytext=(widthg/2., 0.), textcoords='data',
|
||||
arrowprops=dict(arrowstyle='->, head_width=1.4,head_length=1.4',color='green',linewidth=2.)
|
||||
)
|
||||
|
||||
ax.annotate("",
|
||||
xy=(widthg/2., -1./2.*z.max()/5.), xycoords='data',
|
||||
xytext=(widthg/2., 0.), textcoords='data',
|
||||
arrowprops=dict(arrowstyle='->, head_width=1.6,head_length=1.6',color='green',linewidth=2.)
|
||||
)
|
||||
|
||||
ax.annotate("",
|
||||
xy=(1.2*widthg/2., -1.*z.max()/5.), xycoords='data',
|
||||
xytext=(1.2*widthg/2., 0.), textcoords='data',
|
||||
arrowprops=dict(arrowstyle='->, head_width=1.2,head_length=1.2',color='green',linewidth=2.)
|
||||
)
|
||||
|
||||
ax.annotate("",
|
||||
xy=(1.2*widthg/2., -3./4.*z.max()/5.), xycoords='data',
|
||||
xytext=(1.2*widthg/2., 0.), textcoords='data',
|
||||
arrowprops=dict(arrowstyle='->, head_width=1.4,head_length=1.4',color='green',linewidth=2.)
|
||||
)
|
||||
|
||||
ax.annotate("",
|
||||
xy=(1.2*widthg/2., -1./2.*z.max()/5.), xycoords='data',
|
||||
xytext=(1.2*widthg/2., 0.), textcoords='data',
|
||||
arrowprops=dict(arrowstyle='->, head_width=1.6,head_length=1.6',color='green',linewidth=2.)
|
||||
)
|
||||
|
||||
ax.annotate("",
|
||||
xy=(1.5*widthg/2., -1.*z.max()/5.), xycoords='data',
|
||||
xytext=(1.5*widthg/2., 0.), textcoords='data',
|
||||
arrowprops=dict(arrowstyle='->, head_width=1.2,head_length=1.2',color='green',linewidth=2.)
|
||||
)
|
||||
|
||||
ax.annotate("",
|
||||
xy=(1.5*widthg/2., -3./4.*z.max()/5.), xycoords='data',
|
||||
xytext=(1.5*widthg/2., 0.), textcoords='data',
|
||||
arrowprops=dict(arrowstyle='->, head_width=1.4,head_length=1.4',color='green',linewidth=2.)
|
||||
)
|
||||
|
||||
ax.annotate("",
|
||||
xy=(1.5*widthg/2., -1./2.*z.max()/5.), xycoords='data',
|
||||
xytext=(1.5*widthg/2., 0.), textcoords='data',
|
||||
arrowprops=dict(arrowstyle='->, head_width=1.6,head_length=1.6',color='green',linewidth=2.)
|
||||
)
|
||||
|
||||
|
||||
ax.invert_yaxis()
|
||||
|
||||
return ax
|
||||
|
||||
#Propagate Up and Down component for a certain frequency & evaluate E and H field
|
||||
|
||||
def Propagate(f,H,sig,chg,taux,c,mu,eps,n):
|
||||
|
||||
sigcm = np.zeros_like(sig,dtype='complex_')
|
||||
|
||||
for j in range(1,len(sig)):
|
||||
sigcm[j]=PCC(sig[j],chg[j],taux[j],c[j],f)
|
||||
|
||||
K = k(f, sigcm, mu, eps)
|
||||
Z = ImpZ(f,mu,K)
|
||||
|
||||
EH = np.matrix(np.zeros((2,n+1),dtype = 'complex_'),dtype = 'complex_')
|
||||
UD = np.matrix(np.zeros((2,n+1),dtype = 'complex_'),dtype = 'complex_')
|
||||
|
||||
UD[1,-1] = 1.
|
||||
|
||||
for i in range(-2,-(n+2),-1):
|
||||
|
||||
UD[:,i] = Tinv(H[i+1],K[i])*Pinv(Z[i])*P(Z[i+1])*UD[:,i+1]
|
||||
UD = UD/((np.abs(UD[0,:]+UD[1,:])).max())
|
||||
|
||||
for j in range(0,n+1):
|
||||
EH[:,j] = np.matrix([[1.,1,],[-1./Z[j],1./Z[j]]])*UD[:,j]
|
||||
|
||||
return UD, EH, Z ,K
|
||||
|
||||
|
||||
#Evaluate the apparent resistivity and phase for a frequency range
|
||||
def appres(F,H,sig,chg,taux,c,mu,eps,n):
|
||||
|
||||
Res = np.zeros_like(F)
|
||||
Phase = np.zeros_like(F)
|
||||
App_ImpZ= np.zeros_like(F,dtype='complex_')
|
||||
|
||||
for i in range(0,len(F)):
|
||||
|
||||
UD,EH,Z ,K = Propagate(F[i],H,sig,chg,taux,c,mu,eps,n)
|
||||
|
||||
App_ImpZ[i] = EH[0,1]/EH[1,1]
|
||||
|
||||
Res[i] = np.abs(App_ImpZ[i])**2./(mu_0*omega(F[i]))
|
||||
Phase[i] = np.angle(App_ImpZ[i], deg = True)
|
||||
|
||||
return Res,Phase
|
||||
|
||||
#Evaluate Up, Down components, E and H field, for a frequency range,
|
||||
#a discretized depth range and a time range (use to calculate envelope)
|
||||
def calculateEHzt(F,H,sig,chg,taux,c,mu,eps,n,zsample,tsample):
|
||||
|
||||
topc = top(H)
|
||||
|
||||
layer = np.zeros(len(zsample),dtype=np.int)-1
|
||||
|
||||
Exzt = np.matrix(np.zeros((len(zsample),len(tsample)),dtype = 'complex_'),dtype = 'complex_')
|
||||
Hyzt = np.matrix(np.zeros((len(zsample),len(tsample)),dtype = 'complex_'),dtype = 'complex_')
|
||||
Uz = np.matrix(np.zeros((len(zsample),len(tsample)),dtype = 'complex_'),dtype = 'complex_')
|
||||
Dz = np.matrix(np.zeros((len(zsample),len(tsample)),dtype = 'complex_'),dtype = 'complex_')
|
||||
UDaux = np.matrix(np.zeros((2,len(zsample)),dtype = 'complex_'),dtype = 'complex_')
|
||||
|
||||
for i in range(0,n+1,1):
|
||||
layer = layer+(zsample>=topc[i])*1
|
||||
|
||||
for j in range(0,len(F)):
|
||||
|
||||
UD,EH,Z ,K = Propagate(F[j],H,sig,chg,taux,c,mu,eps,n)
|
||||
|
||||
for p in range(0,len(zsample)):
|
||||
|
||||
UDaux[:,p] = UD_Z(UD[:,layer[p]],zsample[p],topc[layer[p]],K[layer[p]])
|
||||
|
||||
for q in range(0,len(tsample)):
|
||||
|
||||
Exzt[p,q] = Exzt[p,q] + E_ZT(UDaux[0,p],UDaux[1,p],F[j],tsample[q])/len(F)
|
||||
Hyzt[p,q] = Hyzt[p,q] + H_ZT(UDaux[0,p],UDaux[1,p],Z[layer[p]],F[j],tsample[q])/len(F)
|
||||
Uz[p,q] = Uz[p,q] + UDaux[0,p]*np.exp(1j*omega(F[j])*tsample[q])/len(F)
|
||||
Dz[p,q] = Dz[p,q] + UDaux[1,p]*np.exp(1j*omega(F[j])*tsample[q])/len(F)
|
||||
|
||||
return Exzt,Hyzt,Uz,Dz,UDaux,layer
|
||||
|
||||
|
||||
#Function to Plot Apparent Resistivity and Phase
|
||||
def PlotAppRes(F,H,sig,chg,taux,c,mu,eps,n,fenvelope,PlotEnvelope):
|
||||
|
||||
Res, Phase = appres(F,H,sig,chg,taux,c,mu,eps,n)
|
||||
|
||||
fig,ax = plt.subplots(1,2,figsize=(16,10))
|
||||
|
||||
ax[0].scatter(Res,F,color='black')
|
||||
ax[0].set_xscale('Log')
|
||||
ax[0].set_yscale('Log')
|
||||
ax[0].set_xlim([10.**(np.log10(Res.min())-1.),10.**(np.log10(Res.max())+1.)])
|
||||
ax[0].set_ylim([F.min(),F.max()])
|
||||
ax[0].set_xlabel('Apparent Resistivity (Ohm*m)',fontsize=16.,color="black")
|
||||
ax[0].set_ylabel('Frequency (Hz)',fontsize=16.)
|
||||
ax[0].grid(which='major')
|
||||
|
||||
ax0 = ax[0].twiny()
|
||||
|
||||
ax0.set_xlim([0.,90.])
|
||||
ax0.set_ylim([F.min(),F.max()])
|
||||
ax0.scatter(Phase,F,color='purple')
|
||||
ax0.set_xlabel('Phase (Degrees)',fontsize=16.,color="purple")
|
||||
|
||||
zc=np.arange(-(H[1:].max()+10)*n,(H[1:].max()+10)*n,10.)
|
||||
|
||||
ax[0].tick_params(labelsize=16)
|
||||
ax[1].tick_params(labelsize=16)
|
||||
ax0.tick_params(labelsize=16)
|
||||
|
||||
if PlotEnvelope:
|
||||
|
||||
widthn=np.logspace(np.log10(Res.min())-1., np.log10(Res.max())+1., num=100, endpoint=True, base=10.0)
|
||||
fenvelope1n=np.ones(100)*fenvelope
|
||||
ax[0].plot(widthn,fenvelope1n,linestyle='dashed',color='black')
|
||||
|
||||
tc=np.arange(0.,1./fenvelope,0.01/(fenvelope))
|
||||
Exzt,Hyzt,Uz,Dz,UDaux,layer = calculateEHzt(np.array([fenvelope]),H,sig,chg,taux,c,mu,eps,n,zc,tc)
|
||||
|
||||
ax1=ax[1].twiny()
|
||||
|
||||
ax[1].tick_params(labelsize=16)
|
||||
ax1.tick_params(labelsize=16)
|
||||
|
||||
ax[1].set_xlabel('Amplitude Electric Field E (V/m)',color='blue',fontsize=16)
|
||||
|
||||
ax1.set_xlabel('Amplitude Magnetic Field H (A/m)',color='red',fontsize=16)
|
||||
|
||||
ax[1].fill_betweenx(zc,np.squeeze(np.asarray(np.real(Exzt.min(axis=1)))),
|
||||
np.squeeze(np.asarray(np.real(Exzt.max(axis=1)))),
|
||||
color='blue', alpha=0.1)
|
||||
|
||||
ax1.fill_betweenx(zc,np.squeeze(np.asarray(np.real(Hyzt.min(axis=1)))),
|
||||
np.squeeze(np.asarray(np.real(Hyzt.max(axis=1)))),
|
||||
color='red', alpha=0.1)
|
||||
|
||||
ax[1] = PlotConfiguration(H,sig,eps,mu,ax[1],(1.5*np.abs(Exzt).max()),zc)
|
||||
ax1.set_xlim([-1.5*np.abs(Hyzt).max(),1.5*np.abs(Hyzt).max()])
|
||||
ax1.set_xlim([-1.5*np.abs(Hyzt).max(),1.5*np.abs(Hyzt).max()])
|
||||
else:
|
||||
print 'No envelop (if True, might be slow)'
|
||||
ax[1] = PlotConfiguration(H,sig,eps,mu,ax[1],1.,zc)
|
||||
ax[1].get_xaxis().set_ticks([])
|
||||
|
||||
plt.show()
|
||||
|
||||
#Interactive MT for Notebook
|
||||
def PlotAppRes3LayersInteract(h1,h2,sigl1,sigl2,sigl3,mul1,mul2,mul3,epsl1,epsl2,epsl3,PlotEnvelope,F_Envelope):
|
||||
|
||||
frangn=frange(-5,5,100.)
|
||||
sig3= np.array([0.,0.001,0.1, 0.001])
|
||||
thick3 = np.array([120000.,50.,50.])
|
||||
eps3=np.array([1.,1.,1.,1])
|
||||
mu3=np.array([1.,1.,1.,1])
|
||||
chg3=np.array([0.,0.1,0.,0.2])
|
||||
chg3_0=np.array([0.,0.1,0.,0.])
|
||||
taux3=np.array([0.,0.1,0.,0.1])
|
||||
c3=np.array([1.,1.,1.,1.])
|
||||
|
||||
sig3[1]=sigl1
|
||||
sig3[1]=10.**sig3[1]
|
||||
sig3[2]=sigl2
|
||||
sig3[2]=10.**sig3[2]
|
||||
sig3[3]=sigl3
|
||||
sig3[3]=10.**sig3[3]
|
||||
mu3[1]=mul1
|
||||
mu3[2]=mul2
|
||||
mu3[3]=mul3
|
||||
eps3[1]=epsl1
|
||||
eps3[2]=epsl2
|
||||
eps3[3]=epsl3
|
||||
thick3[1]=h1
|
||||
thick3[2]=h2
|
||||
|
||||
PlotAppRes(frangn,thick3,sig3,chg3_0,taux3,c3,mu3,eps3,3,F_Envelope,PlotEnvelope)
|
||||
|
||||
|
||||
def run(n=3,plotIt=True):
|
||||
# something to make a plot
|
||||
|
||||
F = frange(-5.,5.,20)
|
||||
H = thick(50.,100.,n)
|
||||
sign = sig(-5.,0.,n)
|
||||
mun = mu(1.,2.,n)
|
||||
epsn = eps(1.,9.,n)
|
||||
chg = np.zeros_like(sign)
|
||||
taux = np.zeros_like(sign)
|
||||
c = np.zeros_like(sign)
|
||||
|
||||
Res, Phase = appres(F,H,sign,chg,taux,c,mun,epsn,n)
|
||||
|
||||
if plotIt:
|
||||
|
||||
PlotAppRes(F, H, sign, chg, taux, c, mun, epsn, n, fenvelope=1000., PlotEnvelope=True)
|
||||
|
||||
return Res, Phase
|
||||
|
||||
if __name__ == '__main__':
|
||||
run()
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
@@ -1,8 +1,14 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
# Test script to use SimPEG.MT platform to forward model synthetic data.
|
||||
|
||||
# Import
|
||||
import SimPEG as simpeg
|
||||
from SimPEG import NSEM
|
||||
from SimPEG import MT
|
||||
import numpy as np
|
||||
try:
|
||||
from pymatsolver import MumpsSolver as Solver
|
||||
@@ -12,7 +18,7 @@ except:
|
||||
def run(plotIt=True, nFreq=1):
|
||||
"""
|
||||
MT: 3D: Forward
|
||||
=======================
|
||||
===============
|
||||
|
||||
Forward model 3D MT data.
|
||||
|
||||
@@ -37,25 +43,24 @@ def run(plotIt=True, nFreq=1):
|
||||
for loc in rx_loc:
|
||||
# NOTE: loc has to be a (1,3) np.ndarray otherwise errors accure
|
||||
for rxType in ['zxxr','zxxi','zxyr','zxyi','zyxr','zyxi','zyyr','zyyi','tzxr','tzxi','tzyr','tzyi']:
|
||||
rxList.append(NSEM.Rx(simpeg.mkvc(loc,2).T,rxType))
|
||||
rxList.append(MT.Rx(simpeg.mkvc(loc,2).T,rxType))
|
||||
# Source list
|
||||
srcList =[]
|
||||
for freq in np.logspace(3,-3,nFreq):
|
||||
srcList.append(NSEM.SrcNSEM.polxy_1Dprimary(rxList,freq))
|
||||
srcList.append(MT.SrcMT.polxy_1Dprimary(rxList,freq))
|
||||
# Survey MT
|
||||
survey = NSEM.Survey(srcList)
|
||||
survey = MT.Survey(srcList)
|
||||
|
||||
## Setup the problem object
|
||||
problem = NSEM.Problem3D_ePrimSec(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 = NSEM.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
-26
@@ -1,29 +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 EM_FDEM_1D_Inversion
|
||||
import Mesh_QuadTree_Creation
|
||||
import EM_TDEM_1D_Inversion
|
||||
import Mesh_QuadTree_FaceDiv
|
||||
import Mesh_Tensor_Creation
|
||||
import FLOW_Richards_1D_Celia1990
|
||||
import DC_Forward_PseudoSection
|
||||
import Mesh_Operators_CahnHilliard
|
||||
import Mesh_Basic_Types
|
||||
import Inversion_IRLS
|
||||
import Inversion_Linear
|
||||
import EM_Schenkel_Morrison_Casing
|
||||
import MT_3D_Foward
|
||||
import Mesh_Basic_ForwardDC
|
||||
import MT_1D_ForwardAndInversion
|
||||
import Utils_surface2ind_topo
|
||||
import MT_1D_analytic_nlayer_Earth
|
||||
import EM_FDEM_Analytic_MagDipoleWholespace
|
||||
import Mesh_Basic_PlotImage
|
||||
import DC_Analytic_Dipole
|
||||
import Mesh_QuadTree_HangingNodes
|
||||
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__ = ["EM_FDEM_1D_Inversion", "Mesh_QuadTree_Creation", "EM_TDEM_1D_Inversion", "Mesh_QuadTree_FaceDiv", "Mesh_Tensor_Creation", "FLOW_Richards_1D_Celia1990", "DC_Forward_PseudoSection", "Mesh_Operators_CahnHilliard", "Mesh_Basic_Types", "Inversion_IRLS", "Inversion_Linear", "EM_Schenkel_Morrison_Casing", "MT_3D_Foward", "Mesh_Basic_ForwardDC", "MT_1D_ForwardAndInversion", "Utils_surface2ind_topo", "MT_1D_analytic_nlayer_Earth", "EM_FDEM_Analytic_MagDipoleWholespace", "Mesh_Basic_PlotImage", "DC_Analytic_Dipole", "Mesh_QuadTree_HangingNodes"]
|
||||
__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 #####
|
||||
|
||||
@@ -39,7 +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)
|
||||
|
||||
@@ -96,14 +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()
|
||||
|
||||
@@ -1,14 +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
|
||||
|
||||
@@ -0,0 +1,138 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import SolverLU as SimpegSolver, PropMaps, Utils, mkvc, sp, np
|
||||
from SimPEG.EM.FDEM.ProblemFDEM import BaseFDEMProblem
|
||||
from .SurveyMT import Survey, Data
|
||||
from .FieldsMT import BaseMTFields
|
||||
|
||||
|
||||
class BaseMTProblem(BaseFDEMProblem):
|
||||
"""
|
||||
Base class for all Natural source problems.
|
||||
"""
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseFDEMProblem.__init__(self, mesh, **kwargs)
|
||||
Utils.setKwargs(self, **kwargs)
|
||||
# Set the default pairs of the problem
|
||||
surveyPair = Survey
|
||||
dataPair = Data
|
||||
fieldsPair = BaseMTFields
|
||||
|
||||
# Set the solver
|
||||
Solver = SimpegSolver
|
||||
solverOpts = {}
|
||||
|
||||
verbose = False
|
||||
# Notes:
|
||||
# Use the forward and devs from BaseFDEMProblem
|
||||
# Might need to add more stuff here.
|
||||
|
||||
## NEED to clean up the Jvec and Jtvec to use Zero and Identities for None components.
|
||||
def Jvec(self, m, v, f=None):
|
||||
"""
|
||||
Function to calculate the data sensitivities dD/dm times a vector.
|
||||
|
||||
:param numpy.ndarray m (nC, 1) - conductive model
|
||||
:param numpy.ndarray v (nC, 1) - random vector
|
||||
:param MTfields object (optional) - MT fields object, if not given it is calculated
|
||||
:rtype: MTdata object
|
||||
:return: Data sensitivities wrt m
|
||||
"""
|
||||
|
||||
# Calculate the fields
|
||||
if f is None:
|
||||
f= self.fields(m)
|
||||
# Set current model
|
||||
self.curModel = m
|
||||
# Initiate the Jv object
|
||||
Jv = self.dataPair(self.survey)
|
||||
|
||||
# Loop all the frequenies
|
||||
for freq in self.survey.freqs:
|
||||
dA_du = self.getA(freq) #
|
||||
|
||||
dA_duI = self.Solver(dA_du, **self.solverOpts)
|
||||
|
||||
for src in self.survey.getSrcByFreq(freq):
|
||||
# We need fDeriv_m = df/du*du/dm + df/dm
|
||||
# Construct du/dm, it requires a solve
|
||||
# NOTE: need to account for the 2 polarizations in the derivatives.
|
||||
f_src = f[src,:]
|
||||
# dA_dm and dRHS_dm should be of size nE,2, so that we can multiply by dA_duI. The 2 columns are each of the polarizations.
|
||||
dA_dm = self.getADeriv_m(freq, f_src, v) # Size: nE,2 (u_px,u_py) in the columns.
|
||||
dRHS_dm = self.getRHSDeriv_m(freq, v) # Size: nE,2 (u_px,u_py) in the columns.
|
||||
if dRHS_dm is None:
|
||||
du_dm = dA_duI * ( -dA_dm )
|
||||
else:
|
||||
du_dm = dA_duI * ( -dA_dm + dRHS_dm )
|
||||
# Calculate the projection derivatives
|
||||
for rx in src.rxList:
|
||||
# Get the projection derivative
|
||||
# v should be of size 2*nE (for 2 polarizations)
|
||||
PDeriv_u = lambda t: rx.evalDeriv(src, self.mesh, f, t) # wrt u, we don't have have PDeriv wrt m
|
||||
Jv[src, rx] = PDeriv_u(mkvc(du_dm))
|
||||
dA_duI.clean()
|
||||
# Return the vectorized sensitivities
|
||||
return mkvc(Jv)
|
||||
|
||||
def Jtvec(self, m, v, f=None):
|
||||
"""
|
||||
Function to calculate the transpose of the data sensitivities (dD/dm)^T times a vector.
|
||||
|
||||
:param numpy.ndarray m (nC, 1) - conductive model
|
||||
:param numpy.ndarray v (nD, 1) - vector
|
||||
:param MTfields object u (optional) - MT fields object, if not given it is calculated
|
||||
:rtype: MTdata object
|
||||
:return: Data sensitivities wrt m
|
||||
"""
|
||||
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
self.curModel = m
|
||||
|
||||
# Ensure v is a data object.
|
||||
if not isinstance(v, self.dataPair):
|
||||
v = self.dataPair(self.survey, v)
|
||||
|
||||
Jtv = np.zeros(m.size)
|
||||
|
||||
for freq in self.survey.freqs:
|
||||
AT = self.getA(freq).T
|
||||
|
||||
ATinv = self.Solver(AT, **self.solverOpts)
|
||||
|
||||
for src in self.survey.getSrcByFreq(freq):
|
||||
ftype = self._fieldType + 'Solution'
|
||||
f_src = f[src, :]
|
||||
|
||||
for rx in src.rxList:
|
||||
# Get the adjoint evalDeriv
|
||||
# PTv needs to be nE,
|
||||
PTv = rx.evalDeriv(src, self.mesh, f, mkvc(v[src, rx],2), adjoint=True) # wrt u, need possibility wrt m
|
||||
# Get the
|
||||
dA_duIT = ATinv * PTv
|
||||
dA_dmT = self.getADeriv_m(freq, f_src, mkvc(dA_duIT), adjoint=True)
|
||||
dRHS_dmT = self.getRHSDeriv_m(freq, mkvc(dA_duIT), adjoint=True)
|
||||
# Make du_dmT
|
||||
if dRHS_dmT is None:
|
||||
du_dmT = -dA_dmT
|
||||
else:
|
||||
du_dmT = -dA_dmT + dRHS_dmT
|
||||
# Select the correct component
|
||||
# du_dmT needs to be of size nC,
|
||||
real_or_imag = rx.projComp
|
||||
if real_or_imag == 'real':
|
||||
Jtv += du_dmT.real
|
||||
elif real_or_imag == 'imag':
|
||||
Jtv += -du_dmT.real
|
||||
else:
|
||||
raise Exception('Must be real or imag')
|
||||
# Clean the factorization, clear memory.
|
||||
ATinv.clean()
|
||||
return Jtv
|
||||
@@ -1,24 +1,27 @@
|
||||
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
|
||||
from numpy.lib import recfunctions as recFunc
|
||||
from SimPEG.EM.Utils import omega
|
||||
|
||||
|
||||
##############
|
||||
### Fields ###
|
||||
##############
|
||||
class BaseNSEMFields(Problem.Fields):
|
||||
"""Field Storage for a NSEM survey."""
|
||||
class BaseMTFields(Problem.Fields):
|
||||
"""Field Storage for a MT survey."""
|
||||
knownFields = {}
|
||||
dtype = complex
|
||||
|
||||
###########
|
||||
# 1D Fields
|
||||
###########
|
||||
class Fields1D_ePrimSec(BaseNSEMFields):
|
||||
|
||||
class Fields1D_e(BaseMTFields):
|
||||
"""
|
||||
Fields storage for the 1D NSEM solution.
|
||||
Fields storage for the 1D MT solution.
|
||||
"""
|
||||
knownFields = {'e_1dSolution':'F'}
|
||||
aliasFields = {
|
||||
@@ -31,119 +34,7 @@ class Fields1D_ePrimSec(BaseNSEMFields):
|
||||
}
|
||||
|
||||
def __init__(self,mesh,survey,**kwargs):
|
||||
BaseNSEMFields.__init__(self,mesh,survey,**kwargs)
|
||||
|
||||
def _ePrimary(self, eSolution, srcList):
|
||||
ePrimary = np.zeros_like(eSolution)
|
||||
for i, src in enumerate(srcList):
|
||||
ep = src.ePrimary(self.survey.prob)
|
||||
if ep is not None:
|
||||
ePrimary[:,i] = ep[:,-1]
|
||||
return ePrimary
|
||||
|
||||
def _eSecondary(self, eSolution, srcList):
|
||||
return eSolution
|
||||
|
||||
def _e(self, eSolution, srcList):
|
||||
return self._ePrimary(eSolution,srcList) + self._eSecondary(eSolution,srcList)
|
||||
|
||||
def _eDeriv_u(self, src, du_dm_v, adjoint = False):
|
||||
|
||||
|
||||
return Utils.Identity()*du_dm_v
|
||||
|
||||
def _eDeriv_m(self, src, v, adjoint = False):
|
||||
# assuming primary does not depend on the model
|
||||
return Utils.Zero()
|
||||
|
||||
def _bPrimary(self, eSolution, srcList):
|
||||
bPrimary = np.zeros([self.survey.mesh.nE,eSolution.shape[1]], dtype = complex)
|
||||
for i, src in enumerate(srcList):
|
||||
bp = src.bPrimary(self.survey.prob)
|
||||
if bp is not None:
|
||||
bPrimary[:,i] += bp[:,-1]
|
||||
return bPrimary
|
||||
|
||||
def _bSecondary(self, eSolution, srcList):
|
||||
C = self.mesh.nodalGrad
|
||||
b = (C * eSolution)
|
||||
for i, src in enumerate(srcList):
|
||||
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:
|
||||
# b[:,i] += 1./(1j*omega(src.freq)) * S_m
|
||||
return b
|
||||
|
||||
def _b(self, eSolution, srcList):
|
||||
return self._bPrimary(eSolution, srcList) + self._bSecondary(eSolution, srcList)
|
||||
|
||||
def _bSecondaryDeriv_u(self, src, v, adjoint = False):
|
||||
C = self.mesh.nodalGrad
|
||||
if adjoint:
|
||||
return - 1./(1j*omega(src.freq)) * (C.T * v)
|
||||
return - 1./(1j*omega(src.freq)) * (C * v)
|
||||
|
||||
def _bSecondaryDeriv_m(self, src, v, adjoint = False):
|
||||
# Doesn't depend on m
|
||||
# _, S_eDeriv = src.evalDeriv(self.survey.prob, adjoint)
|
||||
# S_eDeriv = S_eDeriv(v)
|
||||
# if S_eDeriv is not None:
|
||||
# return 1./(1j * omega(src.freq)) * S_eDeriv
|
||||
return None
|
||||
|
||||
def _bDeriv_u(self, src, v, adjoint=False):
|
||||
# Primary does not depend on u
|
||||
return self._bSecondaryDeriv_u(src, v, adjoint)
|
||||
|
||||
def _bDeriv_m(self, src, v, adjoint=False):
|
||||
# Assuming the primary does not depend on the model
|
||||
return self._bSecondaryDeriv_m(src, v, adjoint)
|
||||
|
||||
def _fDeriv_u(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the fields object wrt u.
|
||||
|
||||
:param NSEMsrc src: NSEM source
|
||||
:param numpy.ndarray v: random vector of f_sol.size
|
||||
This function stacks the fields derivatives appropriately
|
||||
|
||||
return a vector of size (nreEle+nrbEle)
|
||||
"""
|
||||
|
||||
de_du = v #Utils.spdiag(np.ones((self.nF,)))
|
||||
db_du = self._bDeriv_u(src, v, adjoint)
|
||||
# Return the stack
|
||||
# This doesn't work...
|
||||
return np.vstack((de_du,db_du))
|
||||
|
||||
def _fDeriv_m(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the fields object wrt m.
|
||||
|
||||
This function stacks the fields derivatives appropriately
|
||||
"""
|
||||
return None
|
||||
|
||||
|
||||
class Fields1D_eTotal(BaseNSEMFields):
|
||||
"""
|
||||
Fields storage for the 1D NSEM solution solved with for a total domain formulation.
|
||||
|
||||
Used in conjuction with Problem1D_eTotal.
|
||||
"""
|
||||
knownFields = {'e_1dSolution':'F'}
|
||||
aliasFields = {
|
||||
'e_1d' : ['e_1dSolution','F','_e'],
|
||||
'e_1dPrimary' : ['e_1dSolution','F','_ePrimary'],
|
||||
'e_1dSecondary' : ['e_1dSolution','F','_eSecondary'],
|
||||
'b_1d' : ['e_1dSolution','E','_b'],
|
||||
'b_1dPrimary' : ['e_1dSolution','E','_bPrimary'],
|
||||
'b_1dSecondary' : ['e_1dSolution','E','_bSecondary']
|
||||
}
|
||||
|
||||
def __init__(self,mesh,survey,**kwargs):
|
||||
BaseNSEMFields.__init__(self,mesh,survey,**kwargs)
|
||||
BaseMTFields.__init__(self,mesh,survey,**kwargs)
|
||||
|
||||
def _ePrimary(self, eSolution, srcList):
|
||||
ePrimary = np.zeros_like(eSolution)
|
||||
@@ -178,7 +69,7 @@ class Fields1D_eTotal(BaseNSEMFields):
|
||||
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:
|
||||
@@ -214,7 +105,7 @@ class Fields1D_eTotal(BaseNSEMFields):
|
||||
"""
|
||||
Derivative of the fields object wrt u.
|
||||
|
||||
:param NSEMsrc src: NSEM source
|
||||
:param MTsrc src: MT source
|
||||
:param numpy.ndarray v: random vector of f_sol.size
|
||||
This function stacks the fields derivatives appropriately
|
||||
|
||||
@@ -235,18 +126,9 @@ class Fields1D_eTotal(BaseNSEMFields):
|
||||
"""
|
||||
return None
|
||||
|
||||
|
||||
###########
|
||||
# 2D Fields
|
||||
###########
|
||||
|
||||
|
||||
###########
|
||||
# 3D Fields
|
||||
###########
|
||||
class Fields3D_ePrimSec(BaseNSEMFields):
|
||||
class Fields3D_e(BaseMTFields):
|
||||
"""
|
||||
Fields storage for the 3D NSEM solution. Labels polarizations by px and py.
|
||||
Fields storage for the 3D MT solution. Labels polarizations by px and py.
|
||||
|
||||
:param SimPEG object mesh: The solution mesh
|
||||
:param SimPEG object survey: A survey object
|
||||
@@ -271,7 +153,7 @@ class Fields3D_ePrimSec(BaseNSEMFields):
|
||||
}
|
||||
|
||||
def __init__(self,mesh,survey,**kwargs):
|
||||
BaseNSEMFields.__init__(self,mesh,survey,**kwargs)
|
||||
BaseMTFields.__init__(self,mesh,survey,**kwargs)
|
||||
|
||||
def _e_pxPrimary(self, e_pxSolution, srcList):
|
||||
e_pxPrimary = np.zeros_like(e_pxSolution)
|
||||
@@ -312,7 +194,7 @@ class Fields3D_ePrimSec(BaseNSEMFields):
|
||||
# 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):
|
||||
'''
|
||||
@@ -322,7 +204,7 @@ class Fields3D_ePrimSec(BaseNSEMFields):
|
||||
# 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
|
||||
@@ -351,8 +233,8 @@ class Fields3D_ePrimSec(BaseNSEMFields):
|
||||
C = self.mesh.edgeCurl
|
||||
b = (C * e_pxSolution)
|
||||
for i, src in enumerate(srcList):
|
||||
b[:,i] *= - 1./(1j*omega(src.freq))
|
||||
# There is no magnetic source in the NSEM problem
|
||||
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:
|
||||
# b[:,i] += 1./(1j*omega(src.freq)) * S_m
|
||||
@@ -362,8 +244,8 @@ class Fields3D_ePrimSec(BaseNSEMFields):
|
||||
C = self.mesh.edgeCurl
|
||||
b = (C * e_pySolution)
|
||||
for i, src in enumerate(srcList):
|
||||
b[:,i] *= - 1./(1j*omega(src.freq))
|
||||
# There is no magnetic source in the NSEM problem
|
||||
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:
|
||||
# b[:,i] += 1./(1j*omega(src.freq)) * S_m
|
||||
@@ -426,7 +308,7 @@ class Fields3D_ePrimSec(BaseNSEMFields):
|
||||
"""
|
||||
Derivative of the fields object wrt u.
|
||||
|
||||
:param NSEMsrc src: NSEM source
|
||||
:param MTsrc src: MT source
|
||||
:param numpy.ndarray v: random vector of f_sol.size
|
||||
This function stacks the fields derivatives appropriately
|
||||
|
||||
@@ -443,7 +325,7 @@ class Fields3D_ePrimSec(BaseNSEMFields):
|
||||
"""
|
||||
Derivative of the fields object wrt u.
|
||||
|
||||
:param NSEMsrc src: NSEM source
|
||||
:param MTsrc src: MT source
|
||||
:param numpy.ndarray v: random vector of f_sol.size
|
||||
This function stacks the fields derivatives appropriately
|
||||
|
||||
@@ -0,0 +1,297 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG.EM.Utils import omega
|
||||
from SimPEG import mkvc
|
||||
from scipy.constants import mu_0
|
||||
from SimPEG.MT.BaseMT import BaseMTProblem
|
||||
from SimPEG.MT.SurveyMT import Survey, Data
|
||||
from SimPEG.MT.FieldsMT import Fields1D_e
|
||||
from SimPEG.MT.Utils.MT1Danalytic import getEHfields
|
||||
import numpy as np
|
||||
import multiprocessing, sys, time
|
||||
|
||||
|
||||
class eForm_psField(BaseMTProblem):
|
||||
"""
|
||||
A MT problem soving a e formulation and primary/secondary fields decomposion.
|
||||
|
||||
By eliminating the magnetic flux density using
|
||||
|
||||
.. math ::
|
||||
|
||||
\mathbf{b} = \\frac{1}{i \omega}\\left(-\mathbf{C} \mathbf{e} \\right)
|
||||
|
||||
|
||||
we can write Maxwell's equations as a second order system in \\\(\\\mathbf{e}\\\) only:
|
||||
|
||||
.. math ::
|
||||
\\left(\mathbf{C}^T \mathbf{M^e_{\mu^{-1}}} \mathbf{C} + i \omega \mathbf{M^f_\sigma}] \mathbf{e}_{s} =& i \omega \mathbf{M^f_{\delta \sigma}} \mathbf{e}_{p}
|
||||
which we solve for \\\(\\\mathbf{e_s}\\\). The total field \\\mathbf{e}\\ = \\\mathbf{e_p}\\ + \\\mathbf{e_s}\\.
|
||||
|
||||
The primary field is estimated from a background model (commonly half space ).
|
||||
|
||||
|
||||
"""
|
||||
# From FDEMproblem: Used to project the fields. Currently not used for MTproblem.
|
||||
_fieldType = 'e_1d'
|
||||
_eqLocs = 'EF'
|
||||
_sigmaPrimary = None
|
||||
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseMTProblem.__init__(self, mesh, **kwargs)
|
||||
self.fieldsPair = Fields1D_e
|
||||
# self._sigmaPrimary = sigmaPrimary
|
||||
@property
|
||||
def MeMui(self):
|
||||
"""
|
||||
Edge inner product matrix
|
||||
"""
|
||||
if getattr(self, '_MeMui', None) is None:
|
||||
self._MeMui = self.mesh.getEdgeInnerProduct(old_div(1.0,mu_0))
|
||||
return self._MeMui
|
||||
|
||||
@property
|
||||
def MfSigma(self):
|
||||
"""
|
||||
Edge inner product matrix
|
||||
"""
|
||||
if getattr(self, '_MfSigma', None) is None:
|
||||
self._MfSigma = self.mesh.getFaceInnerProduct(self.curModel.sigma)
|
||||
return self._MfSigma
|
||||
|
||||
@property
|
||||
def sigmaPrimary(self):
|
||||
"""
|
||||
A background model, use for the calculation of the primary fields.
|
||||
|
||||
"""
|
||||
return self._sigmaPrimary
|
||||
|
||||
@sigmaPrimary.setter
|
||||
def sigmaPrimary(self, val):
|
||||
# Note: TODO add logic for val, make sure it is the correct size.
|
||||
self._sigmaPrimary = val
|
||||
|
||||
def getA(self, freq):
|
||||
"""
|
||||
Function to get the A matrix.
|
||||
|
||||
:param float freq: Frequency
|
||||
:rtype: scipy.sparse.csr_matrix
|
||||
:return: A
|
||||
"""
|
||||
|
||||
# Note: need to use the code above since in the 1D problem I want
|
||||
# e to live on Faces(nodes) and h on edges(cells). Might need to rethink this
|
||||
# Possible that _fieldType and _eqLocs can fix this
|
||||
MeMui = self.MeMui
|
||||
MfSigma = self.MfSigma
|
||||
C = self.mesh.nodalGrad
|
||||
# Make A
|
||||
A = C.T*MeMui*C + 1j*omega(freq)*MfSigma
|
||||
# Either return full or only the inner part of A
|
||||
return A
|
||||
|
||||
def getADeriv_m(self, freq, u, v, adjoint=False):
|
||||
"""
|
||||
The derivative of A wrt sigma
|
||||
"""
|
||||
|
||||
dsig_dm = self.curModel.sigmaDeriv
|
||||
MeMui = self.MeMui
|
||||
#
|
||||
u_src = u['e_1dSolution']
|
||||
dMfSigma_dm = self.mesh.getFaceInnerProductDeriv(self.curModel.sigma)(u_src) * self.curModel.sigmaDeriv
|
||||
if adjoint:
|
||||
return 1j * omega(freq) * ( dMfSigma_dm.T * v )
|
||||
# Note: output has to be nN/nF, not nC/nE.
|
||||
# v should be nC
|
||||
return 1j * omega(freq) * ( dMfSigma_dm * v )
|
||||
|
||||
def getRHS(self, freq):
|
||||
"""
|
||||
Function to return the right hand side for the system.
|
||||
:param float freq: Frequency
|
||||
:rtype: numpy.ndarray (nF, 1), numpy.ndarray (nF, 1)
|
||||
:return: RHS for 1 polarizations, primary fields
|
||||
"""
|
||||
|
||||
# Get sources for the frequncy(polarizations)
|
||||
Src = self.survey.getSrcByFreq(freq)[0]
|
||||
S_e = Src.S_e(self)
|
||||
return -1j * omega(freq) * S_e
|
||||
|
||||
def getRHSDeriv_m(self, freq, v, adjoint=False):
|
||||
"""
|
||||
The derivative of the RHS wrt sigma
|
||||
"""
|
||||
|
||||
Src = self.survey.getSrcByFreq(freq)[0]
|
||||
S_eDeriv = Src.S_eDeriv_m(self, v, adjoint)
|
||||
return -1j * omega(freq) * S_eDeriv
|
||||
|
||||
def fields(self, m):
|
||||
'''
|
||||
Function to calculate all the fields for the model m.
|
||||
|
||||
:param np.ndarray (nC,) m: Conductivity model
|
||||
'''
|
||||
# Set the current model
|
||||
self.curModel = m
|
||||
|
||||
F = Fields1D_e(self.mesh, self.survey)
|
||||
for freq in self.survey.freqs:
|
||||
if self.verbose:
|
||||
startTime = time.time()
|
||||
print('Starting work for {:.3e}'.format(freq))
|
||||
sys.stdout.flush()
|
||||
A = self.getA(freq)
|
||||
rhs = self.getRHS(freq)
|
||||
Ainv = self.Solver(A, **self.solverOpts)
|
||||
e_s = Ainv * rhs
|
||||
|
||||
# Store the fields
|
||||
Src = self.survey.getSrcByFreq(freq)[0]
|
||||
# NOTE: only store the e_solution(secondary), all other components calculated in the fields object
|
||||
F[Src, 'e_1dSolution'] = e_s[:,-1] # Only storing the yx polarization as 1d
|
||||
|
||||
# Note curl e = -iwb so b = -curl e /iw
|
||||
# b = -( self.mesh.nodalGrad * e )/( 1j*omega(freq) )
|
||||
# F[Src, 'b_1d'] = b[:,1]
|
||||
if self.verbose:
|
||||
print('Ran for {:f} seconds'.format(time.time()-startTime))
|
||||
sys.stdout.flush()
|
||||
return F
|
||||
|
||||
# Note this is not fully functional.
|
||||
# Missing:
|
||||
# Fields class corresponding to the fields
|
||||
# Update Jvec and Jtvec to include all the derivatives components
|
||||
# Other things ...
|
||||
class eForm_TotalField(BaseMTProblem):
|
||||
"""
|
||||
A MT problem solving a e formulation and a Total bondary domain decompostion.
|
||||
|
||||
Solves the equation:
|
||||
|
||||
Math:
|
||||
|
||||
|
||||
"""
|
||||
|
||||
# From FDEMproblem: Used to project the fields. Currently not used for MTproblem.
|
||||
_fieldType = 'e'
|
||||
_eqLocs = 'EF'
|
||||
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseMTProblem.__init__(self, mesh, **kwargs)
|
||||
@property
|
||||
def MeMui(self):
|
||||
"""
|
||||
Edge inner product matrix
|
||||
"""
|
||||
if getattr(self, '_MeMui', None) is None:
|
||||
self._MeMui = self.mesh.getEdgeInnerProduct(old_div(1.0,mu_0))
|
||||
return self._MeMui
|
||||
|
||||
@property
|
||||
def MfSigma(self):
|
||||
"""
|
||||
Edge inner product matrix
|
||||
"""
|
||||
if getattr(self, '_MfSigma', None) is None:
|
||||
self._MfSigma = self.mesh.getFaceInnerProduct(self.curModel.sigma)
|
||||
return self._MfSigma
|
||||
|
||||
def getA(self, freq, full=False):
|
||||
"""
|
||||
Function to get the A matrix.
|
||||
|
||||
:param float freq: Frequency
|
||||
:param logic full: Return full A or the inner part
|
||||
:rtype: scipy.sparse.csr_matrix
|
||||
:return: A
|
||||
"""
|
||||
|
||||
MeMui = self.MeMui
|
||||
MfSigma = self.MfSigma
|
||||
# Note: need to use the code above since in the 1D problem I want
|
||||
# e to live on Faces(nodes) and h on edges(cells). Might need to rethink this
|
||||
# Possible that _fieldType and _eqLocs can fix this
|
||||
# MeMui = self.MfMui
|
||||
# MfSigma = self.MfSigma
|
||||
C = self.mesh.nodalGrad
|
||||
# Make A
|
||||
A = C.T*MeMui*C + 1j*omega(freq)*MfSigma
|
||||
# Either return full or only the inner part of A
|
||||
if full:
|
||||
return A
|
||||
else:
|
||||
return A[1:-1,1:-1]
|
||||
|
||||
def getADeriv_m(self, freq, u, v, adjoint=False):
|
||||
raise NotImplementedError('getADeriv is not implemented')
|
||||
|
||||
def getRHS(self, freq):
|
||||
"""
|
||||
Function to return the right hand side for the system.
|
||||
:param float freq: Frequency
|
||||
:rtype: numpy.ndarray (nE, 2), numpy.ndarray (nE, 2)
|
||||
:return: RHS for both polarizations, primary fields
|
||||
"""
|
||||
# Get sources for the frequency
|
||||
# NOTE: Need to use the source information, doesn't really apply in 1D
|
||||
src = self.survey.getSrcByFreq(freq)
|
||||
# Get the full A
|
||||
A = self.getA(freq,full=True)
|
||||
# Define the outer part of the solution matrix
|
||||
Aio = A[1:-1,[0,-1]]
|
||||
Ed, Eu, Hd, Hu = getEHfields(self.mesh,self.curModel.sigma,freq,self.mesh.vectorNx)
|
||||
Etot = (Ed + Eu)
|
||||
sourceAmp = 1.0
|
||||
Etot = ((old_div(Etot,Etot[-1]))*sourceAmp) # Scale the fields to be equal to sourceAmp at the top
|
||||
## Note: The analytic solution is derived with e^iwt
|
||||
eBC = np.r_[Etot[0],Etot[-1]]
|
||||
# The right hand side
|
||||
|
||||
return -Aio*eBC, eBC
|
||||
|
||||
def getRHSderiv_m(self, freq, backSigma, u, v, adjoint=False):
|
||||
raise NotImplementedError('getRHSDeriv not implemented yet')
|
||||
return None
|
||||
|
||||
def fields(self, m):
|
||||
'''
|
||||
Function to calculate all the fields for the model m.
|
||||
|
||||
:param np.ndarray (nC,) m: Conductivity model
|
||||
:param np.ndarray (nC,) m_back: Background conductivity model
|
||||
'''
|
||||
self.curModel = m
|
||||
# RHS, CalcFields = self.getRHS(freq,m_back), self.calcFields
|
||||
|
||||
F = Fields1D_e(self.mesh, self.survey)
|
||||
for freq in self.survey.freqs:
|
||||
if self.verbose:
|
||||
startTime = time.time()
|
||||
print('Starting work for {:.3e}'.format(freq))
|
||||
sys.stdout.flush()
|
||||
A = self.getA(freq)
|
||||
rhs, e_o = self.getRHS(freq)
|
||||
Ainv = self.Solver(A, **self.solverOpts)
|
||||
e_i = Ainv * rhs
|
||||
e = mkvc(np.r_[e_o[0], e_i, e_o[1]],2)
|
||||
# Store the fields
|
||||
Src = self.survey.getSrcByFreq(freq)
|
||||
# NOTE: only store e fields
|
||||
F[Src, 'e_1dSolution'] = e[:,0]
|
||||
if self.verbose:
|
||||
print('Ran for {:f} seconds'.format(time.time()-startTime))
|
||||
sys.stdout.flush()
|
||||
return F
|
||||
@@ -0,0 +1,7 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .Probs import eForm_TotalField, eForm_psField
|
||||
@@ -0,0 +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
|
||||
@@ -0,0 +1,144 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import Survey, Problem, Utils, Models, np, sp, mkvc, SolverLU as SimpegSolver
|
||||
from SimPEG.EM.Utils import omega
|
||||
from scipy.constants import mu_0
|
||||
from SimPEG.MT.BaseMT import BaseMTProblem
|
||||
from SimPEG.MT.SurveyMT import Survey, Data
|
||||
from SimPEG.MT.FieldsMT import Fields3D_e
|
||||
import multiprocessing, sys, time
|
||||
|
||||
|
||||
|
||||
class eForm_ps(BaseMTProblem):
|
||||
"""
|
||||
A MT problem solving a e formulation and a primary/secondary fields decompostion.
|
||||
|
||||
By eliminating the magnetic flux density using
|
||||
|
||||
.. math ::
|
||||
|
||||
\mathbf{b} = \\frac{1}{i \omega}\\left(-\mathbf{C} \mathbf{e} \\right)
|
||||
|
||||
|
||||
we can write Maxwell's equations as a second order system in \\\(\\\mathbf{e}\\\) only:
|
||||
|
||||
.. math ::
|
||||
\\left(\mathbf{C}^T \mathbf{M^f_{\mu^{-1}}} \mathbf{C} + i \omega \mathbf{M^e_\sigma}] \mathbf{e}_{s} =& i \omega \mathbf{M^e_{\delta \sigma}} \mathbf{e}_{p}
|
||||
which we solve for \\\(\\\mathbf{e_s}\\\). The total field \\\mathbf{e}\\ = \\\mathbf{e_p}\\ + \\\mathbf{e_s}\\.
|
||||
|
||||
The primary field is estimated from a background model (commonly as a 1D model).
|
||||
|
||||
"""
|
||||
|
||||
# From FDEMproblem: Used to project the fields. Currently not used for MTproblem.
|
||||
_fieldType = 'e'
|
||||
_eqLocs = 'FE'
|
||||
fieldsPair = Fields3D_e
|
||||
_sigmaPrimary = None
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseMTProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
@property
|
||||
def sigmaPrimary(self):
|
||||
"""
|
||||
A background model, use for the calculation of the primary fields.
|
||||
|
||||
"""
|
||||
return self._sigmaPrimary
|
||||
@sigmaPrimary.setter
|
||||
def sigmaPrimary(self, val):
|
||||
# Note: TODO add logic for val, make sure it is the correct size.
|
||||
self._sigmaPrimary = val
|
||||
|
||||
def getA(self, freq):
|
||||
"""
|
||||
Function to get the A system.
|
||||
|
||||
:param float freq: Frequency
|
||||
:rtype: scipy.sparse.csr_matrix
|
||||
:return: A
|
||||
"""
|
||||
Mmui = self.MfMui
|
||||
Msig = self.MeSigma
|
||||
C = self.mesh.edgeCurl
|
||||
|
||||
return C.T*Mmui*C + 1j*omega(freq)*Msig
|
||||
|
||||
def getADeriv_m(self, freq, u, v, adjoint=False):
|
||||
"""
|
||||
Calculate the derivative of A wrt m.
|
||||
|
||||
"""
|
||||
|
||||
# This considers both polarizations and returns a nE,2 matrix for each polarization
|
||||
if adjoint:
|
||||
dMe_dsigV = sp.hstack(( self.MeSigmaDeriv( u['e_pxSolution'] ).T, self.MeSigmaDeriv(u['e_pySolution'] ).T ))*v
|
||||
else:
|
||||
# Need a nE,2 matrix to be returned
|
||||
dMe_dsigV = np.hstack(( mkvc(self.MeSigmaDeriv( u['e_pxSolution'] )*v,2), mkvc( self.MeSigmaDeriv(u['e_pySolution'] )*v,2) ))
|
||||
return 1j * omega(freq) * dMe_dsigV
|
||||
|
||||
|
||||
def getRHS(self, freq):
|
||||
"""
|
||||
Function to return the right hand side for the system.
|
||||
|
||||
:param float freq: Frequency
|
||||
:rtype: numpy.ndarray (nE, 2), numpy.ndarray (nE, 2)
|
||||
:return: RHS for both polarizations, primary fields
|
||||
"""
|
||||
|
||||
# Get sources for the frequncy(polarizations)
|
||||
Src = self.survey.getSrcByFreq(freq)[0]
|
||||
S_e = Src.S_e(self)
|
||||
return -1j * omega(freq) * S_e
|
||||
|
||||
def getRHSDeriv_m(self, freq, v, adjoint=False):
|
||||
"""
|
||||
The derivative of the RHS with respect to sigma
|
||||
"""
|
||||
|
||||
Src = self.survey.getSrcByFreq(freq)[0]
|
||||
S_eDeriv = Src.S_eDeriv_m(self, v, adjoint)
|
||||
return -1j * omega(freq) * S_eDeriv
|
||||
|
||||
def fields(self, m):
|
||||
'''
|
||||
Function to calculate all the fields for the model m.
|
||||
|
||||
:param np.ndarray (nC,) m: Conductivity model
|
||||
'''
|
||||
# Set the current model
|
||||
self.curModel = m
|
||||
|
||||
F = Fields3D_e(self.mesh, self.survey)
|
||||
for freq in self.survey.freqs:
|
||||
if self.verbose:
|
||||
startTime = time.time()
|
||||
print('Starting work for {:.3e}'.format(freq))
|
||||
sys.stdout.flush()
|
||||
A = self.getA(freq)
|
||||
rhs = self.getRHS(freq)
|
||||
# Solve the system
|
||||
Ainv = self.Solver(A, **self.solverOpts)
|
||||
e_s = Ainv * rhs
|
||||
|
||||
# Store the fields
|
||||
Src = self.survey.getSrcByFreq(freq)[0]
|
||||
# Store the fieldss
|
||||
F[Src, 'e_pxSolution'] = e_s[:,0]
|
||||
F[Src, 'e_pySolution'] = e_s[:,1]
|
||||
# Note curl e = -iwb so b = -curl/iw
|
||||
|
||||
if self.verbose:
|
||||
print('Ran for {:f} seconds'.format(time.time()-startTime))
|
||||
sys.stdout.flush()
|
||||
Ainv.clean()
|
||||
return F
|
||||
|
||||
@@ -0,0 +1,7 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .Probs import eForm_ps
|
||||
@@ -1,19 +1,25 @@
|
||||
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
|
||||
|
||||
#################
|
||||
### Sources ###
|
||||
#################
|
||||
|
||||
class BaseNSEMSrc(FDEMBaseSrc):
|
||||
class BaseMTSrc(FDEMBaseSrc):
|
||||
'''
|
||||
Sources for the NSEM problem.
|
||||
Sources for the MT problem.
|
||||
Use the SimPEG BaseSrc, since the source fields share properties with the transmitters.
|
||||
|
||||
:param float freq: The frequency of the source
|
||||
@@ -29,28 +35,28 @@ class BaseNSEMSrc(FDEMBaseSrc):
|
||||
FDEMBaseSrc.__init__(self, rxList)
|
||||
|
||||
# 1D sources
|
||||
class polxy_1DhomotD(BaseNSEMSrc):
|
||||
class polxy_1DhomotD(BaseMTSrc):
|
||||
"""
|
||||
NSEM source for both polarizations (x and y) for the total Domain.
|
||||
MT source for both polarizations (x and y) for the total Domain.
|
||||
|
||||
It calculates fields calculated based on conditions on the boundary of the domain.
|
||||
"""
|
||||
def __init__(self, rxList, freq):
|
||||
BaseNSEMSrc.__init__(self, rxList, freq)
|
||||
BaseMTSrc.__init__(self, rxList, freq)
|
||||
|
||||
|
||||
# TODO: need to add the primary fields calc and source terms into the problem.
|
||||
|
||||
# Need to implement such that it works for all dims.
|
||||
class polxy_1Dprimary(BaseNSEMSrc):
|
||||
class polxy_1Dprimary(BaseMTSrc):
|
||||
"""
|
||||
NSEM source for both polarizations (x and y) given a 1D primary models.
|
||||
MT source for both polarizations (x and y) given a 1D primary models.
|
||||
It assigns fields calculated from the 1D model as fields in the full space of the problem.
|
||||
"""
|
||||
def __init__(self, rxList, freq):
|
||||
# assert mkvc(self.mesh.hz.shape,1) == mkvc(sigma1d.shape,1),'The number of values in the 1D background model does not match the number of vertical cells (hz).'
|
||||
self.sigma1d = None
|
||||
BaseNSEMSrc.__init__(self, rxList, freq)
|
||||
BaseMTSrc.__init__(self, rxList, freq)
|
||||
# Hidden property of the ePrimary
|
||||
self._ePrimary = None
|
||||
|
||||
@@ -78,7 +84,7 @@ class polxy_1Dprimary(BaseNSEMSrc):
|
||||
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):
|
||||
@@ -128,15 +134,15 @@ class polxy_1Dprimary(BaseNSEMSrc):
|
||||
# v should be nC size
|
||||
return MsigmaDeriv * v
|
||||
|
||||
class polxy_3Dprimary(BaseNSEMSrc):
|
||||
class polxy_3Dprimary(BaseMTSrc):
|
||||
"""
|
||||
NSEM source for both polarizations (x and y) given a 3D primary model. It assigns fields calculated from the 1D model
|
||||
MT source for both polarizations (x and y) given a 3D primary model. It assigns fields calculated from the 1D model
|
||||
as fields in the full space of the problem.
|
||||
"""
|
||||
def __init__(self, rxList, freq):
|
||||
# assert mkvc(self.mesh.hz.shape,1) == mkvc(sigma1d.shape,1),'The number of values in the 1D background model does not match the number of vertical cells (hz).'
|
||||
self.sigmaPrimary = None
|
||||
BaseNSEMSrc.__init__(self, rxList, freq)
|
||||
BaseMTSrc.__init__(self, rxList, freq)
|
||||
# Hidden property of the ePrimary
|
||||
self._ePrimary = None
|
||||
|
||||
@@ -155,7 +161,7 @@ class polxy_3Dprimary(BaseNSEMSrc):
|
||||
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):
|
||||
@@ -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 SrcNSEM
|
||||
from .Utils import rec2ndarr
|
||||
from . import SrcMT
|
||||
import sys
|
||||
|
||||
#################
|
||||
@@ -63,9 +69,9 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
'''
|
||||
Project the fields to natural source data.
|
||||
|
||||
:param SrcNSEM src: The source of the fields to project
|
||||
:param SrcMT src: The source of the fields to project
|
||||
:param SimPEG.Mesh mesh:
|
||||
:param FieldsNSEM f: Natural source fields object to project
|
||||
:param FieldsMT f: Natural source fields object to project
|
||||
'''
|
||||
|
||||
## NOTE: Assumes that e is on t
|
||||
@@ -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))
|
||||
@@ -143,9 +149,9 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
"""
|
||||
The derivative of the projection wrt u
|
||||
|
||||
:param NSEMsrc src: NSEM source
|
||||
:param MTsrc src: MT source
|
||||
:param TensorMesh mesh: Mesh defining the topology of the problem
|
||||
:param NSEMfields f: NSEM fields object of the source
|
||||
:param MTfields f: MT fields object of the source
|
||||
:param numpy.ndarray v: Random vector of size
|
||||
"""
|
||||
|
||||
@@ -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:
|
||||
@@ -390,12 +396,12 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
#################
|
||||
class Survey(SimPEGsurvey.BaseSurvey):
|
||||
"""
|
||||
Survey class for NSEM. Contains all the sources associated with the survey.
|
||||
Survey class for MT. Contains all the sources associated with the survey.
|
||||
|
||||
:param list srcList: List of sources associated with the survey
|
||||
|
||||
"""
|
||||
srcPair = SrcNSEM.BaseNSEMSrc
|
||||
srcPair = SrcMT.BaseMTSrc
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
# Sort these by frequency
|
||||
@@ -443,7 +449,7 @@ class Survey(SimPEGsurvey.BaseSurvey):
|
||||
#################
|
||||
class Data(SimPEGsurvey.Data):
|
||||
'''
|
||||
Data class for NSEMdata. Stores the data vector indexed by the survey.
|
||||
Data class for MTdata. Stores the data vector indexed by the survey.
|
||||
|
||||
:param SimPEG survey object survey:
|
||||
:param v vector of the data in order matching of the survey
|
||||
@@ -461,7 +467,7 @@ class Data(SimPEGsurvey.Data):
|
||||
|
||||
def toRecArray(self,returnType='RealImag'):
|
||||
'''
|
||||
Function that returns a numpy.recarray for a SimpegNSEM impedance data object.
|
||||
Function that returns a numpy.recarray for a SimpegMT impedance data object.
|
||||
|
||||
:param str returnType: Switches between returning a rec array where the impedance is split to real and imaginary ('RealImag') or is a complex ('Complex')
|
||||
|
||||
@@ -483,7 +489,7 @@ class Data(SimPEGsurvey.Data):
|
||||
locs = np.hstack((np.array([[0.0]]),locs))
|
||||
tArrRec = np.concatenate((src.freq*np.ones((locs.shape[0],1)),locs,np.nan*np.ones((locs.shape[0],12))),axis=1).view(dtRI)
|
||||
# np.array([(src.freq,rx.locs[0,0],rx.locs[0,1],rx.locs[0,2],np.nan ,np.nan ,np.nan ,np.nan ,np.nan ,np.nan ,np.nan ,np.nan ) for rx in src.rxList],dtype=dtRI)
|
||||
# Get the type and the value for the DataNSEM object as a list
|
||||
# Get the type and the value for the DataMT object as a list
|
||||
typeList = [[rx.rxType.replace('z1d','zyx'),self[src,rx]] for rx in src.rxList]
|
||||
# Insert the values to the temp array
|
||||
for nr,(key,val) in enumerate(typeList):
|
||||
@@ -517,17 +523,17 @@ class Data(SimPEGsurvey.Data):
|
||||
@classmethod
|
||||
def fromRecArray(cls, recArray, srcType='primary'):
|
||||
"""
|
||||
Class method that reads in a numpy record array to NSEMdata object.
|
||||
Class method that reads in a numpy record array to MTdata object.
|
||||
|
||||
Only imports the impedance data.
|
||||
|
||||
"""
|
||||
if srcType=='primary':
|
||||
src = SrcNSEM.polxy_1Dprimary
|
||||
src = SrcMT.polxy_1Dprimary
|
||||
elif srcType=='total':
|
||||
src = SrcNSEM.polxy_1DhomotD
|
||||
src = SrcMT.polxy_1DhomotD
|
||||
else:
|
||||
raise NotImplementedError('{:s} is not a valid source type for NSEMdata')
|
||||
raise NotImplementedError('{:s} is not a valid source type for MTdata')
|
||||
|
||||
# Find all the frequencies in recArray
|
||||
uniFreq = np.unique(recArray['freq'])
|
||||
@@ -1,9 +1,16 @@
|
||||
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 zip
|
||||
# Analytic solution of EM fields due to a plane wave
|
||||
|
||||
import numpy as np, SimPEG as simpeg
|
||||
from scipy.constants import mu_0, epsilon_0 as eps_0
|
||||
|
||||
def getEHfields(m1d,sigma,freq,zd,scaleUD=True,scaleValue=1):
|
||||
def getEHfields(m1d,sigma,freq,zd,scaleUD=True):
|
||||
'''Analytic solution for MT 1D layered earth. Returns E and H fields.
|
||||
|
||||
:param SimPEG.mesh, object m1d: Mesh object with the 1D spatial information.
|
||||
@@ -12,7 +19,7 @@ def getEHfields(m1d,sigma,freq,zd,scaleUD=True,scaleValue=1):
|
||||
:param numpy array, vector zd: location to calculate EH fields at
|
||||
:param bollean, scaleUD: scales the output to be 1 at the top, increases numeracal stability.
|
||||
|
||||
Assumes a halfspace with the same conductive as the deepest cell.
|
||||
Assumes a halfspace with the same conductive as the last cell below.
|
||||
|
||||
'''
|
||||
# Note add an error check for the mesh and sigma are the same size.
|
||||
@@ -29,18 +36,18 @@ def getEHfields(m1d,sigma,freq,zd,scaleUD=True,scaleValue=1):
|
||||
|
||||
# Initiate the propagation matrix, in the order down up.
|
||||
UDp = np.zeros((2,m1d.nC+1),dtype=complex)
|
||||
UDp[1,0] = scaleValue # Set the wave amplitude as 1 into the half-space at the bottom of the mesh
|
||||
UDp[1,0] = 1. # Set the wave amplitude as 1 into the half-space at the bottom of the mesh
|
||||
# Loop over all the layers, starting at the bottom layer
|
||||
for lnr, h in enumerate(m1d.hx): # lnr-number of layer, h-thickness of the layer
|
||||
# Calculate
|
||||
yp1 = k[lnr]/(w*mu[lnr]) # Admittance of the layer below the current layer
|
||||
zp = (w*mu[lnr+1])/k[lnr+1] # Impedance in the current layer
|
||||
yp1 = old_div(k[lnr],(w*mu[lnr])) # Admittance of the layer below the current layer
|
||||
zp = old_div((w*mu[lnr+1]),k[lnr+1]) # Impedance in the current layer
|
||||
# Build the propagation matrix
|
||||
|
||||
# Convert fields to down/up going components in layer below current layer
|
||||
Pj1 = np.array([[1,1],[yp1,-yp1]],dtype=complex)
|
||||
Pj1 = np.array([[1,1],[yp1,-yp1]])
|
||||
# Convert fields to down/up going components in current layer
|
||||
Pjinv = 1./2*np.array([[1,zp],[1,-zp]],dtype=complex)
|
||||
Pjinv = 1./2*np.array([[1,zp],[1,-zp]])
|
||||
# Propagate down and up components through the current layer
|
||||
elamh = np.array([[np.exp(-1j*k[lnr+1]*h),0],[0,np.exp(1j*k[lnr+1]*h)]])
|
||||
|
||||
@@ -48,14 +55,7 @@ def getEHfields(m1d,sigma,freq,zd,scaleUD=True,scaleValue=1):
|
||||
UDp[:,lnr+1] = elamh.dot(Pjinv.dot(Pj1)).dot(UDp[:,lnr])
|
||||
|
||||
if scaleUD:
|
||||
# Scale the values such that 1 at the top
|
||||
scaleVal = UDp[:,lnr+1::-1]/UDp[1,lnr+1]
|
||||
if np.any(np.isnan(scaleVal)):
|
||||
# If there is a nan (thickness very great), rebuild the move up cell
|
||||
scaleVal = np.zeros_like(UDp[:,lnr+1::-1],dtype=complex)
|
||||
scaleVal[1,0] = scaleValue
|
||||
|
||||
UDp[:,lnr+1::-1] = scaleVal
|
||||
UDp[:,lnr+1::-1] = old_div(UDp[:,lnr+1::-1],UDp[1,lnr+1])
|
||||
|
||||
# Calculate the fields
|
||||
Ed = np.empty((zd.size,),dtype=complex)
|
||||
@@ -69,14 +69,14 @@ def getEHfields(m1d,sigma,freq,zd,scaleUD=True,scaleValue=1):
|
||||
dind = dup >= zd
|
||||
Ed[dind] = UDp[1,0]*np.exp(-1j*k[0]*(dup-zd[dind]))
|
||||
Eu[dind] = UDp[0,0]*np.exp(1j*k[0]*(dup-zd[dind]))
|
||||
Hd[dind] = (k[0]/(w*mu[0]))*UDp[1,0]*np.exp(-1j*k[0]*(dup-zd[dind]))
|
||||
Hu[dind] = -(k[0]/(w*mu[0]))*UDp[0,0]*np.exp(1j*k[0]*(dup-zd[dind]))
|
||||
Hd[dind] = (old_div(k[0],(w*mu[0])))*UDp[1,0]*np.exp(-1j*k[0]*(dup-zd[dind]))
|
||||
Hu[dind] = -(old_div(k[0],(w*mu[0])))*UDp[0,0]*np.exp(1j*k[0]*(dup-zd[dind]))
|
||||
for ki,mui,epsi,dlow,dup,Up,Dp in zip(k[1::],mu[1::],eps[1::],m1d.vectorNx[:-1],m1d.vectorNx[1::],UDp[0,1::],UDp[1,1::]):
|
||||
dind = np.logical_and(dup >= zd, zd > dlow)
|
||||
Ed[dind] = Dp*np.exp(-1j*ki*(dup-zd[dind]))
|
||||
Eu[dind] = Up*np.exp(1j*ki*(dup-zd[dind]))
|
||||
Hd[dind] = (ki/(w*mui))*Dp*np.exp(-1j*ki*(dup-zd[dind]))
|
||||
Hu[dind] = -(ki/(w*mui))*Up*np.exp(1j*ki*(dup-zd[dind]))
|
||||
Hd[dind] = (old_div(ki,(w*mui)))*Dp*np.exp(-1j*ki*(dup-zd[dind]))
|
||||
Hu[dind] = -(old_div(ki,(w*mui)))*Up*np.exp(1j*ki*(dup-zd[dind]))
|
||||
|
||||
# Return return the fields
|
||||
return Ed, Eu, Hd, Hu
|
||||
@@ -99,15 +99,15 @@ def getImpedance(m1d,sigma,freq):
|
||||
om = 2*np.pi*fr
|
||||
Zall = np.empty(len(h)+1,dtype='complex')
|
||||
# Calculate the impedance for the bottom layer
|
||||
Zall[0] = (mu_0*om)/np.sqrt(mu_0*eps_0*(om)**2 - 1j*mu_0*sigma[0]*om)
|
||||
Zall[0] = old_div((mu_0*om),np.sqrt(mu_0*eps_0*(om)**2 - 1j*mu_0*sigma[0]*om))
|
||||
|
||||
for nr,hi in enumerate(h):
|
||||
# Calculate the wave number
|
||||
# print nr,sigma[nr]
|
||||
k = np.sqrt(mu_0*eps_0*om**2 - 1j*mu_0*sigma[nr]*om)
|
||||
Z = (mu_0*om)/k
|
||||
Z = old_div((mu_0*om),k)
|
||||
|
||||
Zall[nr+1] = Z *((Zall[nr] + Z*np.tanh(1j*k*hi))/(Z + Zall[nr]*np.tanh(1j*k*hi)))
|
||||
Zall[nr+1] = Z *(old_div((Zall[nr] + Z*np.tanh(1j*k*hi)),(Z + Zall[nr]*np.tanh(1j*k*hi))))
|
||||
|
||||
#pdb.set_trace()
|
||||
Z1d[nrFr] = Zall[-1]
|
||||
@@ -1,5 +1,11 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import numpy as np, SimPEG as simpeg
|
||||
from MT1Danalytic import getEHfields
|
||||
from .MT1Danalytic import getEHfields
|
||||
from scipy.constants import mu_0
|
||||
|
||||
def get1DEfields(m1d,sigma,freq,sourceAmp=1.0):
|
||||
@@ -9,7 +15,7 @@ def get1DEfields(m1d,sigma,freq,sourceAmp=1.0):
|
||||
G = m1d.nodalGrad
|
||||
# Mass matrices
|
||||
# Magnetic permeability
|
||||
Mmu = simpeg.Utils.sdiag(m1d.vol*(1.0/mu_0))
|
||||
Mmu = simpeg.Utils.sdiag(m1d.vol*(old_div(1.0,mu_0)))
|
||||
# Conductivity
|
||||
Msig = m1d.getFaceInnerProduct(sigma)
|
||||
# Set up the solution matrix
|
||||
@@ -23,7 +29,7 @@ def get1DEfields(m1d,sigma,freq,sourceAmp=1.0):
|
||||
Ed, Eu, Hd, Hu = getEHfields(m1d,sigma,freq,m1d.vectorNx)
|
||||
Etot = (Ed + Eu)
|
||||
if sourceAmp is not None:
|
||||
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
|
||||
bc = np.r_[Etot[0],Etot[-1]]
|
||||
# The right hand side
|
||||
@@ -0,0 +1,10 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .MT1Dsolutions import * # Add the names of the functions
|
||||
from .MT1Danalytic import *
|
||||
from .dataUtils import *
|
||||
from .ediFilesUtils import *
|
||||
@@ -1,3 +1,9 @@
|
||||
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()
|
||||
# Utils used for the data,
|
||||
import numpy as np, matplotlib.pyplot as plt, sys
|
||||
import SimPEG as simpeg
|
||||
@@ -5,25 +11,25 @@ import numpy.lib.recfunctions as recFunc
|
||||
from scipy.constants import mu_0
|
||||
from scipy import interpolate as sciint
|
||||
|
||||
def getAppRes(NSEMdata):
|
||||
def getAppRes(MTdata):
|
||||
# Make impedance
|
||||
zList = []
|
||||
for src in NSEMdata.survey.srcList:
|
||||
for src in MTdata.survey.srcList:
|
||||
zc = [src.freq]
|
||||
for rx in src.rxList:
|
||||
if 'i' in rx.rxType:
|
||||
m=1j
|
||||
else:
|
||||
m = 1
|
||||
zc.append(m*NSEMdata[src,rx])
|
||||
zc.append(m*MTdata[src,rx])
|
||||
zList.append(zc)
|
||||
return [appResPhs(zList[i][0],np.sum(zList[i][1:3])) for i in np.arange(len(zList))]
|
||||
|
||||
def rotateData(NSEMdata,rotAngle):
|
||||
def rotateData(MTdata, rotAngle):
|
||||
'''
|
||||
Function that rotates clockwist by rotAngle (- negative for a counter-clockwise rotation)
|
||||
'''
|
||||
recData = NSEMdata.toRecArray('Complex')
|
||||
recData = MTdata.toRecArray('Complex')
|
||||
impData = rec2ndarr(recData[['zxx','zxy','zyx','zyy']],complex)
|
||||
# Make the rotation matrix
|
||||
# c,s,zxx,zxy,zyx,zyy = sympy.symbols('c,s,zxx,zxy,zyx,zyy')
|
||||
@@ -40,38 +46,38 @@ def rotateData(NSEMdata,rotAngle):
|
||||
for nr,comp in enumerate(['zxx','zxy','zyx','zyy']):
|
||||
outRec[comp] = rotData[:,nr]
|
||||
|
||||
from SimPEG import NSEM
|
||||
return NSEM.Data.fromRecArray(outRec)
|
||||
from SimPEG import MT
|
||||
return MT.Data.fromRecArray(outRec)
|
||||
|
||||
|
||||
def appResPhs(freq,z):
|
||||
app_res = ((1./(8e-7*np.pi**2))/freq)*np.abs(z)**2
|
||||
app_phs = np.arctan2(z.imag,z.real)*(180/np.pi)
|
||||
def appResPhs(freq, z):
|
||||
app_res = (old_div((old_div(1.,(8e-7*np.pi**2))),freq))*np.abs(z)**2
|
||||
app_phs = np.arctan2(z.imag,z.real)*(old_div(180,np.pi))
|
||||
return app_res, app_phs
|
||||
|
||||
def skindepth(rho,freq):
|
||||
def skindepth(rho, freq):
|
||||
''' Function to calculate the skindepth of EM waves'''
|
||||
return np.sqrt( (rho*((1/(freq * mu_0 * np.pi )))))
|
||||
return np.sqrt( (rho*((old_div(1,(freq * mu_0 * np.pi ))))))
|
||||
|
||||
def rec2ndarr(x,dt=float):
|
||||
def rec2ndarr(x, dt=float):
|
||||
return x.view((dt, len(x.dtype.names)))
|
||||
|
||||
def makeAnalyticSolution(mesh,model,elev,freqs):
|
||||
from SimPEG import NSEM
|
||||
def makeAnalyticSolution(mesh, model, elev, freqs):
|
||||
from SimPEG import MT
|
||||
data1D = []
|
||||
for freq in freqs:
|
||||
anaEd, anaEu, anaHd, anaHu = NSEM.Utils.MT1Danalytic.getEHfields(mesh,model,freq,elev)
|
||||
anaEd, anaEu, anaHd, anaHu = MT.Utils.MT1Danalytic.getEHfields(mesh,model,freq,elev)
|
||||
anaE = anaEd+anaEu
|
||||
anaH = anaHd+anaHu
|
||||
|
||||
anaZ = anaE/anaH
|
||||
anaZ = old_div(anaE,anaH)
|
||||
# Add to the list
|
||||
data1D.append((freq,0,0,elev,anaZ[0]))
|
||||
dataRec = np.array(data1D,dtype=[('freq',float),('x',float),('y',float),('z',float),('zyx',complex)])
|
||||
return dataRec
|
||||
|
||||
def plotMT1DModelData(problem,models,symList=None):
|
||||
from SimPEG import NSEM
|
||||
def plotMT1DModelData(problem, models, symList=None):
|
||||
from SimPEG import MT
|
||||
# Setup the figure
|
||||
fontSize = 15
|
||||
|
||||
@@ -79,7 +85,7 @@ def plotMT1DModelData(problem,models,symList=None):
|
||||
axM = fig.add_axes([0.075,.1,.25,.875])
|
||||
axM.set_xlabel('Resistivity [Ohm*m]',fontsize=fontSize)
|
||||
axM.set_xlim(1e-1,1e5)
|
||||
# axM.set_ylim(-10000,5000)
|
||||
axM.set_ylim(-10000,5000)
|
||||
axM.set_ylabel('Depth [km]',fontsize=fontSize)
|
||||
axR = fig.add_axes([0.42,.575,.5,.4])
|
||||
axR.set_xscale('log')
|
||||
@@ -97,7 +103,7 @@ def plotMT1DModelData(problem,models,symList=None):
|
||||
|
||||
# if not symList:
|
||||
# symList = ['x']*len(models)
|
||||
import plotDataTypes as pDt
|
||||
from . import plotDataTypes as pDt
|
||||
# Loop through the models.
|
||||
modelList = [problem.survey.mtrue]
|
||||
modelList.extend(models)
|
||||
@@ -110,14 +116,14 @@ def plotMT1DModelData(problem,models,symList=None):
|
||||
else:
|
||||
data1D = problem.dataPair(problem.survey,problem.survey.dpred(model)).toRecArray('Complex')
|
||||
# Plot the data and the model
|
||||
colRat = nr/((len(modelList)-1.999)*1.)
|
||||
colRat = old_div(nr,((len(modelList)-1.999)*1.))
|
||||
if colRat > 1.:
|
||||
col = 'k'
|
||||
else:
|
||||
col = plt.cm.seismic(1-colRat)
|
||||
# The model - make the pts to plot
|
||||
meshPts = np.concatenate((problem.mesh.gridN[0:1],np.kron(problem.mesh.gridN[1::],np.ones(2))[:-1]))
|
||||
modelPts = np.kron(1./(problem.mapping.sigmaMap*model),np.ones(2,))
|
||||
modelPts = np.kron(old_div(1.,(problem.mapping.sigmaMap*model)),np.ones(2,))
|
||||
axM.semilogx(modelPts,meshPts,color=col)
|
||||
|
||||
## Data
|
||||
@@ -132,94 +138,38 @@ def plotMT1DModelData(problem,models,symList=None):
|
||||
freq = simpeg.mkvc(data1D['freq'],2)
|
||||
res, phs = appResPhs(freq,allData)
|
||||
|
||||
if False:
|
||||
stdCol = 'gray'
|
||||
axRtw = axR.twinx()
|
||||
axRtw.set_ylabel('Std of log10',color=stdCol)
|
||||
[(t.set_color(stdCol), t.set_rotation(-45)) for t in axRtw.get_yticklabels()]
|
||||
axPtw = axP.twinx()
|
||||
axPtw.set_ylabel('Std ',color=stdCol)
|
||||
[t.set_color(stdCol) for t in axPtw.get_yticklabels()]
|
||||
axRtw.plot(freq, np.std(np.log10(res),1),'--',color=stdCol)
|
||||
axPtw.plot(freq, np.std(phs,1),'--',color=stdCol)
|
||||
stdCol = 'gray'
|
||||
axRtw = axR.twinx()
|
||||
axRtw.set_ylabel('Std of log10',color=stdCol)
|
||||
[(t.set_color(stdCol), t.set_rotation(-45)) for t in axRtw.get_yticklabels()]
|
||||
axPtw = axP.twinx()
|
||||
axPtw.set_ylabel('Std ',color=stdCol)
|
||||
[t.set_color(stdCol) for t in axPtw.get_yticklabels()]
|
||||
axRtw.plot(freq, np.std(np.log10(res),1),'--',color=stdCol)
|
||||
axPtw.plot(freq, np.std(phs,1),'--',color=stdCol)
|
||||
|
||||
# Fix labels and ticks
|
||||
|
||||
# yMtick = [l/1000 for l in axM.get_yticks().tolist()]
|
||||
# axM.set_yticklabels(yMtick)
|
||||
yMtick = [old_div(l,1000) for l in axM.get_yticks().tolist()]
|
||||
axM.set_yticklabels(yMtick)
|
||||
[ l.set_rotation(90) for l in axM.get_yticklabels()]
|
||||
[ l.set_rotation(90) for l in axR.get_yticklabels()]
|
||||
# [(t.set_color(stdCol), t.set_rotation(-45)) for t in axRtw.get_yticklabels()]
|
||||
# [t.set_color(stdCol) for t in axPtw.get_yticklabels()]
|
||||
[(t.set_color(stdCol), t.set_rotation(-45)) for t in axRtw.get_yticklabels()]
|
||||
[t.set_color(stdCol) for t in axPtw.get_yticklabels()]
|
||||
for ax in [axM,axR,axP]:
|
||||
ax.xaxis.set_tick_params(labelsize=fontSize)
|
||||
ax.yaxis.set_tick_params(labelsize=fontSize)
|
||||
return fig
|
||||
|
||||
def plotImpAppRes(dataArrays,plotLoc,textStr=[]):
|
||||
''' Plots amplitude impedance and phase'''
|
||||
# fig = plt.figure(1,(7, 7))
|
||||
import plotDataTypes as pDt
|
||||
# axes = ImageGrid(fig, (0.05,0.05,0.875,0.875),nrows_ncols = (2, 2),axes_pad = 0.25,add_all=True,share_all=True,label_mode = "L")
|
||||
# Make the figure and axes
|
||||
fig,axT=plt.subplots(2,2,sharex=True)
|
||||
axes = axT.ravel()
|
||||
fig.set_size_inches((13.5,7.0))
|
||||
fig.suptitle('{:s}\nStation at: {:.1f}x ; {:.1f}y'.format(textStr,plotLoc[0],plotLoc[1]))
|
||||
# Have to deal with axes
|
||||
# Set log
|
||||
for ax in axes.ravel():
|
||||
ax.set_xscale('log')
|
||||
|
||||
axes[0].invert_xaxis()
|
||||
axes[0].set_yscale('log')
|
||||
axes[2].set_yscale('log')
|
||||
# Set labels
|
||||
axes[2].set_xlabel('Frequency [Hz]')
|
||||
axes[3].set_xlabel('Frequency [Hz]')
|
||||
axes[0].set_ylabel('Apperent resistivity [Ohm m]')
|
||||
axes[1].set_ylabel('Apperent phase [degrees]')
|
||||
axes[1].set_ylim(-180,180)
|
||||
axes[2].set_ylabel('Impedance amplitude [V/A]')
|
||||
axes[3].set_ylim(-180,180)
|
||||
axes[3].set_ylabel('Impedance angle [degrees]')
|
||||
|
||||
|
||||
# Plot the data
|
||||
for nr,dataArray in enumerate(dataArrays):
|
||||
if nr==1:
|
||||
parSym = '*'
|
||||
else:
|
||||
parSym = 's'
|
||||
# app res
|
||||
pDt.plotIsoStaImpedance(axes[0],plotLoc,dataArray,'zxy',par='res',pSym=parSym)
|
||||
pDt.plotIsoStaImpedance(axes[0],plotLoc,dataArray,'zyx',par='res',pSym=parSym)
|
||||
# app phs
|
||||
pDt.plotIsoStaImpedance(axes[1],plotLoc,dataArray,'zxy',par='phs',pSym=parSym)
|
||||
pDt.plotIsoStaImpedance(axes[1],plotLoc,dataArray,'zyx',par='phs',pSym=parSym)
|
||||
# imp abs
|
||||
pDt.plotIsoStaImpedance(axes[2],plotLoc,dataArray,'zxx',par='abs',pSym=parSym)
|
||||
pDt.plotIsoStaImpedance(axes[2],plotLoc,dataArray,'zxy',par='abs',pSym=parSym)
|
||||
pDt.plotIsoStaImpedance(axes[2],plotLoc,dataArray,'zyx',par='abs',pSym=parSym)
|
||||
pDt.plotIsoStaImpedance(axes[2],plotLoc,dataArray,'zyy',par='abs',pSym=parSym)
|
||||
# imp abs
|
||||
pDt.plotIsoStaImpedance(axes[3],plotLoc,dataArray,'zxx',par='phs',pSym=parSym)
|
||||
pDt.plotIsoStaImpedance(axes[3],plotLoc,dataArray,'zxy',par='phs',pSym=parSym)
|
||||
pDt.plotIsoStaImpedance(axes[3],plotLoc,dataArray,'zyx',par='phs',pSym=parSym)
|
||||
pDt.plotIsoStaImpedance(axes[3],plotLoc,dataArray,'zyy',par='phs',pSym=parSym)
|
||||
|
||||
return fig,axes
|
||||
|
||||
|
||||
def printTime():
|
||||
import time
|
||||
print time.strftime("%a, %d %b %Y %H:%M:%S +0000", time.localtime())
|
||||
print(time.strftime("%a, %d %b %Y %H:%M:%S +0000", time.localtime()))
|
||||
|
||||
def convert3Dto1Dobject(NSEMdata,rxType3D='zyx'):
|
||||
from SimPEG import NSEM
|
||||
def convert3Dto1Dobject(MTdata,rxType3D='zyx'):
|
||||
from SimPEG import MT
|
||||
# Find the unique locations
|
||||
# Need to find the locations
|
||||
recDataTemp = NSEMdata.toRecArray()
|
||||
recDataTemp = MTdata.toRecArray()
|
||||
# Check if survey.std has been assigned.
|
||||
## NEED TO: write this...
|
||||
# Calculte and add the DET of the tensor to the recArray
|
||||
@@ -241,24 +191,24 @@ def convert3Dto1Dobject(NSEMdata,rxType3D='zyx'):
|
||||
# Make the receiver list
|
||||
rx1DList = []
|
||||
for rxType in ['z1dr','z1di']:
|
||||
rx1DList.append(NSEM.Rx(simpeg.mkvc(loc,2).T,rxType))
|
||||
rx1DList.append(MT.Rx(simpeg.mkvc(loc,2).T,rxType))
|
||||
# Source list
|
||||
locrecData = recData[np.sqrt(np.sum( (rec2ndarr(recData[['x','y','z']]).data - loc )**2,axis=1)) < 1e-5]
|
||||
dat1DList = []
|
||||
src1DList = []
|
||||
for freq in locrecData['freq']:
|
||||
src1DList.append(NSEM.SrcNSEM.src_polxy_1Dprimary(rx1DList,freq))
|
||||
src1DList.append(MT.SrcMT.src_polxy_1Dprimary(rx1DList,freq))
|
||||
for comp in ['r','i']:
|
||||
dat1DList.append( corr * locrecData[rxType3D+comp][locrecData['freq']== freq].data )
|
||||
|
||||
# Make the survey
|
||||
sur1D = NSEM.Survey(src1DList)
|
||||
sur1D = MT.Survey(src1DList)
|
||||
|
||||
# Make the data
|
||||
dataVec = np.hstack(dat1DList)
|
||||
dat1D = NSEM.Data(sur1D,dataVec)
|
||||
dat1D = MT.Data(sur1D,dataVec)
|
||||
sur1D.dobs = dataVec
|
||||
# Need to take NSEMdata.survey.std and split it as well.
|
||||
# Need to take MTdata.survey.std and split it as well.
|
||||
std=0.05
|
||||
sur1D.std = np.abs(sur1D.dobs*std) #+ 0.01*np.linalg.norm(sur1D.dobs)
|
||||
mtData1DList.append(dat1D)
|
||||
@@ -266,29 +216,29 @@ def convert3Dto1Dobject(NSEMdata,rxType3D='zyx'):
|
||||
# Return the the list of data.
|
||||
return mtData1DList
|
||||
|
||||
def resampleNSEMdataAtFreq(NSEMdata,freqs):
|
||||
def resampleMTdataAtFreq(MTdata,freqs):
|
||||
"""
|
||||
Function to resample NSEMdata at set of frequencies
|
||||
Function to resample MTdata at set of frequencies
|
||||
|
||||
"""
|
||||
from SimPEG import NSEM
|
||||
from SimPEG import MT
|
||||
# Make a rec array
|
||||
NSEMrec = NSEMdata.toRecArray().data
|
||||
MTrec = MTdata.toRecArray().data
|
||||
|
||||
# Find unique locations
|
||||
uniLoc = np.unique(NSEMrec[['x','y','z']])
|
||||
uniFreq = NSEMdata.survey.freqs
|
||||
uniLoc = np.unique(MTrec[['x','y','z']])
|
||||
uniFreq = MTdata.survey.freqs
|
||||
# Get the comps
|
||||
dNames = NSEMrec.dtype
|
||||
dNames = MTrec.dtype
|
||||
|
||||
# Loop over all the locations and interpolate
|
||||
for loc in uniLoc:
|
||||
# Find the index of the station
|
||||
ind = np.sqrt(np.sum((rec2ndarr(NSEMrec[['x','y','z']]) - rec2ndarr(loc))**2,axis=1)) < 1. # Find dist of 1 m accuracy
|
||||
ind = np.sqrt(np.sum((rec2ndarr(MTrec[['x','y','z']]) - rec2ndarr(loc))**2,axis=1)) < 1. # Find dist of 1 m accuracy
|
||||
# Make a temporary recArray and interpolate all the components
|
||||
tArrRec = np.concatenate((simpeg.mkvc(freqs,2),np.ones((len(freqs),1))*rec2ndarr(loc),np.nan*np.ones((len(freqs),12))),axis=1).view(dNames)
|
||||
for comp in ['zxxr','zxxi','zxyr','zxyi','zyxr','zyxi','zyyr','zyyi','tzxr','tzxi','tzyr','tzyi']:
|
||||
int1d = sciint.interp1d(NSEMrec[ind]['freq'],NSEMrec[ind][comp],bounds_error=False)
|
||||
int1d = sciint.interp1d(MTrec[ind]['freq'],MTrec[ind][comp],bounds_error=False)
|
||||
tArrRec[comp] = simpeg.mkvc(int1d(freqs),2)
|
||||
|
||||
# Join together
|
||||
@@ -297,5 +247,5 @@ def resampleNSEMdataAtFreq(NSEMdata,freqs):
|
||||
except NameError as e:
|
||||
outRecArr = tArrRec
|
||||
|
||||
# Make the NSEMdata and return
|
||||
return NSEM.Data.fromRecArray(outRecArr)
|
||||
# Make the MTdata and return
|
||||
return MT.Data.fromRecArray(outRecArr)
|
||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user