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18
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493982e65d |
+1
-1
@@ -1,4 +1,4 @@
|
||||
[bumpversion]
|
||||
current_version = 0.1.12
|
||||
current_version = 0.1.10
|
||||
files = setup.py SimPEG/__init__.py docs/conf.py
|
||||
|
||||
|
||||
@@ -39,5 +39,3 @@ nosetests.xml
|
||||
*.sublime-workspace
|
||||
docs/_build/
|
||||
Makefile
|
||||
docs/warnings.txt
|
||||
.DS_Store
|
||||
|
||||
+5
-28
@@ -1,7 +1,6 @@
|
||||
language: python
|
||||
python:
|
||||
- 2.7
|
||||
- 3.4
|
||||
|
||||
sudo: false
|
||||
|
||||
@@ -25,25 +24,18 @@ env:
|
||||
- TEST_DIR=tests/examples
|
||||
- TEST_DIR=tests/em/fdem/inverse/adjoint
|
||||
- TEST_DIR=tests/em/fdem/forward
|
||||
- TEST_DIR=tests/docs;
|
||||
GAE_PYTHONPATH=${HOME}/.cache/google_appengine;
|
||||
PATH=$PATH:${HOME}/google-cloud-sdk/bin;
|
||||
PYTHONPATH=${PYTHONPATH}:${GAE_PYTHONPATH};
|
||||
CLOUDSDK_CORE_DISABLE_PROMPTS=1
|
||||
|
||||
# Setup anaconda
|
||||
before_install:
|
||||
# Install packages
|
||||
- if [ ${TRAVIS_PYTHON_VERSION:0:1} == "2" ]; then wget http://repo.continuum.io/miniconda/Miniconda-3.8.3-Linux-x86_64.sh
|
||||
-O miniconda.sh; else wget http://repo.continuum.io/miniconda/Miniconda3-3.8.3-Linux-x86_64.sh
|
||||
-O miniconda.sh; fi
|
||||
- if [ ${TRAVIS_PYTHON_VERSION:0:1} == "2" ]; then wget http://repo.continuum.io/miniconda/Miniconda-3.8.3-Linux-x86_64.sh -O miniconda.sh; else wget http://repo.continuum.io/miniconda/Miniconda3-3.8.3-Linux-x86_64.sh -O miniconda.sh; fi
|
||||
- chmod +x miniconda.sh
|
||||
- ./miniconda.sh -b
|
||||
- export PATH=/home/travis/anaconda/bin:/home/travis/anaconda3/bin:/home/travis/miniconda/bin:/home/travis/miniconda3/bin:$PATH
|
||||
- export PATH=/home/travis/anaconda/bin:/home/travis/miniconda/bin:$PATH
|
||||
- conda update --yes conda
|
||||
|
||||
# Install packages
|
||||
install:
|
||||
- conda install --yes pip python=$TRAVIS_PYTHON_VERSION numpy scipy matplotlib cython ipython nose vtk sphinx
|
||||
- conda install --yes pip python=$TRAVIS_PYTHON_VERSION numpy scipy matplotlib cython ipython nose vtk
|
||||
- pip install nose-cov python-coveralls
|
||||
|
||||
- git clone https://github.com/rowanc1/pymatsolver.git
|
||||
@@ -54,26 +46,11 @@ install:
|
||||
|
||||
# Run test
|
||||
script:
|
||||
# test docs
|
||||
- nosetests $TEST_DIR --with-cov --cov SimPEG --cov-config .coveragerc -v -s
|
||||
|
||||
# Calculate coverage
|
||||
after_success:
|
||||
- bash <(curl -s https://codecov.io/bash)
|
||||
- if [ "$TRAVIS_BRANCH" = "master" -a "$TRAVIS_PULL_REQUEST" = "false" ]; then
|
||||
if [ ${TEST_DIR} == "tests/docs" ]; then
|
||||
python scripts/fetch_gae_sdk.py $(dirname "${GAE_PYTHONPATH}");
|
||||
openssl aes-256-cbc -K $encrypted_93066031461c_key -iv $encrypted_93066031461c_iv
|
||||
-in docs/credentials.tar.gz.enc -out credentials.tar.gz -d ;
|
||||
if [ ! -d ${HOME}/google-cloud-sdk ]; then curl https://sdk.cloud.google.com | bash; fi ;
|
||||
tar -xzf credentials.tar.gz ;
|
||||
gcloud auth activate-service-account --key-file client-secret.json ;
|
||||
gcloud config set project simpegdocs;
|
||||
gcloud -q components update gae-python;
|
||||
gcloud -q preview app deploy ./docs/app.yaml --version ${TRAVIS_COMMIT} --promote;
|
||||
fi;
|
||||
fi
|
||||
|
||||
- coveralls --config_file .coveragerc
|
||||
|
||||
notifications:
|
||||
email:
|
||||
|
||||
+1
-9
@@ -1,4 +1,4 @@
|
||||
.. image:: https://raw.github.com/simpeg/simpeg/master/docs/images/simpeg-logo.png
|
||||
.. image:: https://raw.github.com/simpeg/simpeg/master/docs/simpeg-logo.png
|
||||
:alt: SimPEG Logo
|
||||
|
||||
======
|
||||
@@ -25,14 +25,6 @@ SimPEG
|
||||
:target: https://coveralls.io/r/simpeg/simpeg?branch=master
|
||||
:alt: Coverage status
|
||||
|
||||
.. image:: http://img.shields.io/badge/GITTER-JOIN_CHAT-brightgreen.svg?style=flat-square
|
||||
:alt: gitter chat room at https://gitter.im/simpeg/simpeg
|
||||
:target: https://gitter.im/simpeg/simpeg
|
||||
|
||||
.. image:: https://codecov.io/gh/simpeg/simpeg/branch/master/graph/badge.svg
|
||||
:target: https://codecov.io/gh/simpeg/simpeg
|
||||
|
||||
|
||||
Simulation and Parameter Estimation in Geophysics - A python package for simulation and gradient based parameter estimation in the context of geophysical applications.
|
||||
|
||||
The vision is to create a package for finite volume simulation with applications to geophysical imaging and subsurface flow. To enable the understanding of the many different components, this package has the following features:
|
||||
|
||||
+3
-11
@@ -1,11 +1,3 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from builtins import super
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
from SimPEG import *
|
||||
|
||||
class FieldsDC_CC(Problem.Fields):
|
||||
@@ -69,7 +61,7 @@ class SrcDipole(Survey.BaseSrc):
|
||||
pts = [self.loc[0], self.loc[1]]
|
||||
inds = Utils.closestPoints(prob.mesh, pts)
|
||||
q = np.zeros(prob.mesh.nC)
|
||||
q[inds] = - self.current * (np.r_[1., -1.] / prob.mesh.vol[inds])
|
||||
q[inds] = - self.current * ( np.r_[1., -1.] / prob.mesh.vol[inds] )
|
||||
# self._rhsDict[mesh] = q
|
||||
# return self._rhsDict[mesh]
|
||||
return q
|
||||
@@ -170,8 +162,8 @@ class ProblemDC_CC(Problem.BaseProblem):
|
||||
"""
|
||||
Makes the matrix A(m) for the DC resistivity problem.
|
||||
|
||||
:param numpy.ndarray m: model
|
||||
:rtype: scipy.sparse.csc_matrix
|
||||
:param numpy.array m: model
|
||||
:rtype: scipy.csc_matrix
|
||||
:return: A(m)
|
||||
|
||||
.. math::
|
||||
|
||||
+3
-10
@@ -1,12 +1,5 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
from SimPEG import *
|
||||
from .BaseDC import SurveyDC, FieldsDC_CC
|
||||
from BaseDC import SurveyDC, FieldsDC_CC
|
||||
|
||||
class SurveyIP(SurveyDC):
|
||||
"""
|
||||
@@ -59,7 +52,7 @@ class ProblemIP(Problem.BaseProblem):
|
||||
# sigma = self.curModel.transform
|
||||
sigma = self.sigma
|
||||
Av = self.mesh.aveF2CC
|
||||
self._Msig = Utils.sdiag(1//(self.mesh.dim * Av.T * (1/sigma)))
|
||||
self._Msig = Utils.sdiag(1/(self.mesh.dim * Av.T * (1/sigma)))
|
||||
return self._Msig
|
||||
|
||||
@property
|
||||
@@ -78,7 +71,7 @@ class ProblemIP(Problem.BaseProblem):
|
||||
Makes the matrix A(m) for the DC resistivity problem.
|
||||
|
||||
:param numpy.array m: model
|
||||
:rtype: scipy.sparse.csc_matrix
|
||||
:rtype: scipy.csc_matrix
|
||||
:return: A(m)
|
||||
|
||||
.. math::
|
||||
|
||||
+218
-337
@@ -1,26 +1,12 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from builtins import open
|
||||
from builtins import int
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import map
|
||||
from builtins import range
|
||||
from SimPEG import np, Utils
|
||||
from . import BaseDC as DC
|
||||
from . import BaseDC as IP
|
||||
import warnings
|
||||
from SimPEG import np
|
||||
import BaseDC as DC
|
||||
import BaseDC as IP
|
||||
|
||||
def getActiveindfromTopo(mesh, topo):
|
||||
# def genActiveindfromTopo(mesh, topo):
|
||||
"""
|
||||
Get active indices from topography
|
||||
"""
|
||||
warnings.warn(
|
||||
"`getActiveindfromTopo` is deprecated and will be removed in future versions. Use `SimPEG.Utils.surface2ind_topo` instead",
|
||||
FutureWarning)
|
||||
from scipy.interpolate import NearestNDInterpolator
|
||||
if mesh.dim==3:
|
||||
nCxy = mesh.nCx*mesh.nCy
|
||||
@@ -42,9 +28,6 @@ def gettopoCC(mesh, airind):
|
||||
"""
|
||||
Get topography from active indices of mesh.
|
||||
"""
|
||||
warnings.warn(
|
||||
"`gettopoCC` is deprecated and will be removed in future versions. Use `SimPEG.Utils.surface2ind_topo` instead",
|
||||
FutureWarning)
|
||||
mesh2D = Mesh.TensorMesh([mesh.hx, mesh.hy], mesh.x0[:2])
|
||||
zc = mesh.gridCC[:,2]
|
||||
AIRIND = airind.reshape((mesh.vnC[0]*mesh.vnC[1],mesh.vnC[2]), order='F')
|
||||
@@ -77,7 +60,7 @@ def readUBC_DC3Dobstopo(filename,mesh,topo,probType="CC"):
|
||||
if "!" in line.split(): continue
|
||||
elif line == '\n': continue
|
||||
elif line == ' \n': continue
|
||||
temp = list(map(float, line.split()))
|
||||
temp = map(float, line.split())
|
||||
# Read a line for the current electrode
|
||||
if len(temp) == 5: # SRC: Only X and Y are provided (assume no topography)
|
||||
#TODO consider topography and assign the closest cell center in the earth
|
||||
@@ -135,27 +118,34 @@ def readUBC_DC3Dobstopo(filename,mesh,topo,probType="CC"):
|
||||
|
||||
def readUBC_DC2DModel(fileName):
|
||||
"""
|
||||
Read UBC GIF 2DTensor model and generate 2D Tensor model in simpeg
|
||||
Read UBC GIF 2DTensor model and generate 2D Tensor model in simpeg
|
||||
|
||||
:param string fileName: path to the UBC GIF 2D model file
|
||||
:rtype: TensorMesh
|
||||
:return: SimPEG TensorMesh 2D object
|
||||
Input:
|
||||
:param fileName, path to the UBC GIF 2D model file
|
||||
|
||||
Output:
|
||||
:param SimPEG TensorMesh 2D object
|
||||
:return
|
||||
|
||||
Created on Thu Nov 12 13:14:10 2015
|
||||
|
||||
@author: dominiquef
|
||||
|
||||
"""
|
||||
from SimPEG import np, mkvc
|
||||
|
||||
# Open fileand skip header... assume that we know the mesh already
|
||||
obsfile = np.genfromtxt(fileName, delimiter=' \n', dtype=np.str, comments='!')
|
||||
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!')
|
||||
|
||||
dim = np.array(obsfile[0].split(), dtype=float)
|
||||
dim = np.array(obsfile[0].split(),dtype=float)
|
||||
|
||||
temp = np.array(obsfile[1].split(), dtype=float)
|
||||
temp = np.array(obsfile[1].split(),dtype=float)
|
||||
|
||||
if len(temp) > 1:
|
||||
model = np.zeros(dim)
|
||||
|
||||
for ii in range(len(obsfile)-1):
|
||||
mm = np.array(obsfile[ii+1].split(), dtype=float)
|
||||
mm = np.array(obsfile[ii+1].split(),dtype=float)
|
||||
model[:,ii] = mm
|
||||
|
||||
model = model[:,::-1]
|
||||
@@ -163,10 +153,10 @@ def readUBC_DC2DModel(fileName):
|
||||
else:
|
||||
|
||||
if len(obsfile[1:])==1:
|
||||
mm = np.array(obsfile[1:].split(), dtype=float)
|
||||
mm = np.array(obsfile[1:].split(),dtype=float)
|
||||
|
||||
else:
|
||||
mm = np.array(obsfile[1:], dtype=float)
|
||||
mm = np.array(obsfile[1:],dtype=float)
|
||||
|
||||
# Permute the second dimension to flip the order
|
||||
model = mm.reshape(dim[1],dim[0])
|
||||
@@ -179,25 +169,32 @@ def readUBC_DC2DModel(fileName):
|
||||
|
||||
return model
|
||||
|
||||
|
||||
def plot_pseudoSection(DCsurvey, axs, surveyType='dipole-dipole', unitType='volt', clim=None, cblabel=True, axlabel = True, colorbar = True, contour = None):
|
||||
def plot_pseudoSection(DCsurvey, axs, stype):
|
||||
"""
|
||||
Read list of 2D tx-rx location and plot a speudo-section of apparent
|
||||
resistivity.
|
||||
Read list of 2D tx-rx location and plot a speudo-section of apparent
|
||||
resistivity.
|
||||
|
||||
Assumes flat topo for now...
|
||||
Assumes flat topo for now...
|
||||
|
||||
:param SurveyDC DCsurvey:
|
||||
:param string surveyType: Either 'pole-dipole' | 'dipole-dipole'
|
||||
:param string unitType: Either 'appResistivity' | 'appConductivity' | 'volt'
|
||||
:rtype: matplotlib.plt
|
||||
:return: figure scatter plot overlayed on image
|
||||
Input:
|
||||
:param d2D, z0
|
||||
:switch stype -> Either 'pdp' (pole-dipole) | 'dpdp' (dipole-dipole)
|
||||
|
||||
Output:
|
||||
:figure scatter plot overlayed on image
|
||||
|
||||
Edited Feb 17th, 2016
|
||||
|
||||
@author: dominiquef
|
||||
|
||||
"""
|
||||
from SimPEG import np
|
||||
from scipy.interpolate import griddata
|
||||
import pylab as plt
|
||||
|
||||
# Set depth to 0 for now
|
||||
z0 = 0.
|
||||
|
||||
# Pre-allocate
|
||||
midx = []
|
||||
midz = []
|
||||
@@ -224,117 +221,69 @@ def plot_pseudoSection(DCsurvey, axs, surveyType='dipole-dipole', unitType='volt
|
||||
Cmid = (Tx[0][0] + Tx[1][0])/2
|
||||
Pmid = (Rx[0][:,0] + Rx[1][:,0])/2
|
||||
|
||||
# Change output for unitType
|
||||
if unitType == 'volt':
|
||||
# Compute pant leg of apparent rho
|
||||
if stype == 'pdp':
|
||||
leg = data * 2*np.pi * MA * ( MA + MN ) / MN
|
||||
|
||||
rho = np.hstack([rho,data])
|
||||
leg = np.log10(abs(1/leg))
|
||||
|
||||
else:
|
||||
|
||||
# Compute pant leg of apparent rho
|
||||
if surveyType == 'pole-dipole':
|
||||
|
||||
leg = data * 2*np.pi * MA * ( MA + MN ) / MN
|
||||
|
||||
elif surveyType == 'dipole-dipole':
|
||||
|
||||
leg = data * 2*np.pi / (1/MA - 1/MB - 1/NB + 1/NA)
|
||||
|
||||
else:
|
||||
print("""unitType must be 'pole-dipole' | 'dipole-dipole' """)
|
||||
break
|
||||
elif stype == 'dpdp':
|
||||
leg = data * 2*np.pi / ( 1/MA - 1/MB - 1/NB + 1/NA )
|
||||
|
||||
|
||||
if unitType == 'appConductivity':
|
||||
midx = np.hstack([midx, ( Cmid + Pmid )/2 ])
|
||||
midz = np.hstack([midz, -np.abs(Cmid-Pmid)/2 + z0 ])
|
||||
rho = np.hstack([rho,leg])
|
||||
|
||||
leg = np.log10(abs(1./leg))
|
||||
rho = np.hstack([rho,leg])
|
||||
|
||||
elif unitType == 'appResistivity':
|
||||
|
||||
leg = np.log10(abs(leg))
|
||||
rho = np.hstack([rho,leg])
|
||||
|
||||
else:
|
||||
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])
|
||||
ax = axs
|
||||
|
||||
# Grid points
|
||||
grid_x, grid_z = np.mgrid[np.min(midx):np.max(midx), np.min(midz):np.max(midz)]
|
||||
grid_rho = griddata(np.c_[midx,midz], rho.T, (grid_x, grid_z), method='linear')
|
||||
|
||||
# Scale the color scheme
|
||||
if clim == None:
|
||||
vmin, vmax = rho.min(), rho.max()
|
||||
else:
|
||||
vmin, vmax = clim[0], clim[1]
|
||||
|
||||
# Plot data
|
||||
grid_rho = np.ma.masked_where(np.isnan(grid_rho), grid_rho)
|
||||
plt.imshow(grid_rho.T, extent = (np.min(midx),np.max(midx),np.min(midz),np.max(midz)), origin='lower', alpha=0.8, vmin = np.min(rho), vmax = np.max(rho))
|
||||
cbar = plt.colorbar(format = '%.2f',fraction=0.04,orientation="horizontal")
|
||||
|
||||
cmin,cmax = cbar.get_clim()
|
||||
ticks = np.linspace(cmin,cmax,3)
|
||||
cbar.set_ticks(ticks)
|
||||
|
||||
# Plot apparent resistivity
|
||||
plt.scatter(midx,midz,s=50,c=rho.T)
|
||||
|
||||
ph = plt.pcolormesh(grid_x[:,0],grid_z[0,:],grid_rho.T, vmin = vmin, vmax = vmax)
|
||||
plt.gca().tick_params(axis='both', which='major', labelsize=8)
|
||||
|
||||
if contour is not None:
|
||||
plt.contour(grid_x,grid_z,grid_rho,levels = contour,colors = 'r', vmin = vmin, vmax = vmax)
|
||||
|
||||
# Add scatter points
|
||||
axs.scatter(midx,midz,s=10,c=rho.T, vmin = vmin, vmax = vmax)
|
||||
|
||||
if colorbar:
|
||||
|
||||
if unitType == 'volt':
|
||||
cbar = plt.colorbar(ph, ax = axs, format="%4.1f",fraction=0.04,orientation="horizontal")
|
||||
|
||||
else:
|
||||
cbar = plt.colorbar(ph, ax = axs, format="$10^{%.1f}$",fraction=0.04,orientation="horizontal")
|
||||
|
||||
cmin,cmax = cbar.get_clim()
|
||||
ticks = np.linspace(cmin,cmax,3)
|
||||
cbar.set_ticks(ticks)
|
||||
cbar.ax.tick_params(labelsize=10)
|
||||
|
||||
if unitType == 'appConductivity':
|
||||
cbar.set_label("App.Cond",size=12)
|
||||
elif unitType == 'appResistivity':
|
||||
cbar.set_label("App.Res.",size=12)
|
||||
elif unitType == 'volt':
|
||||
cbar.set_label("Potential (V)",size=12)
|
||||
|
||||
|
||||
if not axlabel:
|
||||
axs.set_xticklabels([])
|
||||
axs.set_yticklabels([])
|
||||
ax.set_xticklabels([])
|
||||
|
||||
ax.set_ylabel('Z')
|
||||
ax.yaxis.tick_right()
|
||||
ax.yaxis.set_label_position('right')
|
||||
plt.gca().set_aspect('equal', adjustable='box')
|
||||
|
||||
|
||||
return ax
|
||||
|
||||
return ph
|
||||
|
||||
def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
|
||||
def gen_DCIPsurvey(endl, mesh, stype, a, b, n):
|
||||
"""
|
||||
Load in endpoints and survey specifications to generate Tx, Rx location
|
||||
stations.
|
||||
Load in endpoints and survey specifications to generate Tx, Rx location
|
||||
stations.
|
||||
|
||||
Assumes flat topo for now...
|
||||
Assumes flat topo for now...
|
||||
|
||||
:param numpy.array endl: input endpoints [[x1, y1] , [x2, y2]]
|
||||
:param Mesh mesh: SimPEG mesh object
|
||||
:param string surveyType: 'dipole-dipole' | 'pole-dipole' | 'gradient'
|
||||
:param float AM_sep: transmitter (A) - receiver (M) seperation
|
||||
:param float b: receiver dipole seperation
|
||||
:param float nrx: pole seperation, number of rx dipoles per tx
|
||||
Input:
|
||||
:param endl -> input endpoints [x1, y1, z1, x2, y2, z2]
|
||||
:object mesh -> SimPEG mesh object
|
||||
:switch stype -> "dpdp" (dipole-dipole) | "pdp" (pole-dipole) | 'gradient'
|
||||
: param a, n -> pole seperation, number of rx dipoles per tx
|
||||
|
||||
:rtype: DC.Survey, Src, Rx
|
||||
:returns: DC survey, Source
|
||||
Output:
|
||||
:param Tx, Rx -> List objects for each tx location
|
||||
Lines: P1x, P1y, P1z, P2x, P2y, P2z
|
||||
|
||||
!! Require clean up to deal with DCsurvey
|
||||
Created on Wed December 9th, 2015
|
||||
|
||||
@author: dominiquef
|
||||
!! Require clean up to deal with DCsurvey
|
||||
"""
|
||||
|
||||
from SimPEG import np
|
||||
@@ -350,17 +299,17 @@ 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 / a )
|
||||
|
||||
# Compute discrete pole location along line
|
||||
stn_x = endl[0,0] + np.array(list(range(int(nstn))))*dl_x*AM_sep
|
||||
stn_y = endl[0,1] + np.array(list(range(int(nstn))))*dl_y*AM_sep
|
||||
stn_x = endl[0,0] + np.array(range(int(nstn)))*dl_x*a
|
||||
stn_y = endl[0,1] + np.array(range(int(nstn)))*dl_y*a
|
||||
|
||||
# Create line of P1 locations
|
||||
M = np.c_[stn_x, stn_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
|
||||
# Create line of P2 locations
|
||||
N = np.c_[stn_x+AM_sep*dl_x, stn_y+AM_sep*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
N = np.c_[stn_x+a*dl_x, stn_y+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
|
||||
## Build list of Tx-Rx locations depending on survey type
|
||||
# Dipole-dipole: Moving tx with [a] spacing -> [AB a MN1 a MN2 ... a MNn]
|
||||
@@ -370,14 +319,14 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
|
||||
SrcList = []
|
||||
|
||||
|
||||
if surveyType != 'gradient':
|
||||
if stype != 'gradient':
|
||||
|
||||
for ii in range(0, int(nstn)-1):
|
||||
|
||||
|
||||
if surveyType == 'dipole-dipole':
|
||||
if stype == 'dpdp':
|
||||
tx = np.c_[M[ii,:],N[ii,:]]
|
||||
elif surveyType == 'pole-dipole':
|
||||
elif stype == 'pdp':
|
||||
tx = np.c_[M[ii,:],M[ii,:]]
|
||||
|
||||
# Rx.append(np.c_[M[ii+1:indx,:],N[ii+1:indx,:]])
|
||||
@@ -386,33 +335,43 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
|
||||
AB = xy_2_r(tx[0,1],endl[1,0],tx[1,1],endl[1,1])
|
||||
|
||||
# Number of receivers to fit
|
||||
nstn = np.min([(AB - MN_sep) // AM_sep, nrx])
|
||||
nstn = np.min([np.floor( (AB - 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*MN_sep + np.array(list(range(int(nstn))))*dl_x*AM_sep
|
||||
stn_y = N[ii,1] + dl_y*MN_sep + np.array(list(range(int(nstn))))*dl_y*AM_sep
|
||||
stn_x = N[ii,0] + dl_x*b + np.array(range(int(nstn)))*dl_x*a
|
||||
stn_y = N[ii,1] + dl_y*b + np.array(range(int(nstn)))*dl_y*a
|
||||
|
||||
# Create receiver poles
|
||||
# Create line of P1 locations
|
||||
P1 = np.c_[stn_x, stn_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
|
||||
# Create line of P2 locations
|
||||
P2 = np.c_[stn_x+AM_sep*dl_x, stn_y+AM_sep*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
P2 = np.c_[stn_x+a*dl_x, stn_y+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
|
||||
Rx.append(np.c_[P1,P2])
|
||||
rxClass = DC.RxDipole(P1, P2)
|
||||
Tx.append(tx)
|
||||
if surveyType == 'dipole-dipole':
|
||||
if stype == 'dpdp':
|
||||
srcClass = DC.SrcDipole([rxClass], M[ii,:],N[ii,:])
|
||||
elif surveyType == 'pole-dipole':
|
||||
elif stype == 'pdp':
|
||||
srcClass = DC.SrcDipole([rxClass], M[ii,:],M[ii,:])
|
||||
SrcList.append(srcClass)
|
||||
|
||||
elif surveyType == 'gradient':
|
||||
#==============================================================================
|
||||
# elif re.match(stype,'dpdp'):
|
||||
#
|
||||
# for ii in range(0, int(nstn)-2):
|
||||
#
|
||||
# indx = np.min([ii+n+1,nstn])
|
||||
# Tx.append(np.c_[M[ii,:],N[ii,:]])
|
||||
# Rx.append(np.c_[M[ii+2:indx,:],N[ii+2:indx,:]])
|
||||
#==============================================================================
|
||||
|
||||
elif stype == 'gradient':
|
||||
|
||||
# Gradient survey only requires Tx at end of line and creates a square
|
||||
# grid of receivers at in the middle at a pre-set minimum distance
|
||||
@@ -420,24 +379,24 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
|
||||
Tx.append(np.c_[M[0,:],N[-1,:]])
|
||||
|
||||
# Get the edge limit of survey area
|
||||
min_x = endl[0,0] + dl_x * MN_sep
|
||||
min_y = endl[0,1] + dl_y * MN_sep
|
||||
min_x = endl[0,0] + dl_x * b
|
||||
min_y = endl[0,1] + dl_y * b
|
||||
|
||||
max_x = endl[1,0] - dl_x * MN_sep
|
||||
max_y = endl[1,1] - dl_y * MN_sep
|
||||
max_x = endl[1,0] - dl_x * b
|
||||
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.
|
||||
|
||||
nstn = box_l // AM_sep
|
||||
nstn = np.floor( box_l / a )
|
||||
|
||||
# Compute discrete pole location along line
|
||||
stn_x = min_x + np.array(list(range(int(nstn))))*dl_x*AM_sep
|
||||
stn_y = min_y + np.array(list(range(int(nstn))))*dl_y*AM_sep
|
||||
stn_x = min_x + np.array(range(int(nstn)))*dl_x*a
|
||||
stn_y = min_y + np.array(range(int(nstn)))*dl_y*a
|
||||
|
||||
# Define number of cross lines
|
||||
nlin = int(box_w // AM_sep)
|
||||
lind = list(range(-nlin,nlin+1))
|
||||
nlin = int(np.floor( box_w / a ))
|
||||
lind = range(-nlin,nlin+1)
|
||||
|
||||
ngrad = nstn * len(lind)
|
||||
|
||||
@@ -445,12 +404,12 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
|
||||
for ii in range( len(lind) ):
|
||||
|
||||
# Move line in perpendicular direction by dipole spacing
|
||||
lxx = stn_x - lind[ii]*AM_sep*dl_y
|
||||
lyy = stn_y + lind[ii]*AM_sep*dl_x
|
||||
lxx = stn_x - lind[ii]*a*dl_y
|
||||
lyy = stn_y + lind[ii]*a*dl_x
|
||||
|
||||
|
||||
M = np.c_[ lxx, lyy , np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
N = np.c_[ lxx+AM_sep*dl_x, lyy+AM_sep*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
N = np.c_[ lxx+a*dl_x, lyy+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
|
||||
rx[(ii*nstn):((ii+1)*nstn),:] = np.c_[M,N]
|
||||
|
||||
@@ -459,37 +418,37 @@ 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 """stype must be either 'pdp', 'dpdp' or 'gradient'. """
|
||||
|
||||
survey = DC.SurveyDC(SrcList)
|
||||
return survey, Tx, Rx
|
||||
|
||||
|
||||
def writeUBC_DCobs(fileName, DCsurvey, dim, surveyType, iptype = 0):
|
||||
def writeUBC_DCobs(fileName, DCsurvey, dtype, stype):
|
||||
"""
|
||||
Write UBC GIF DCIP 2D or 3D observation file
|
||||
|
||||
:param string fileName: including path where the file is written out
|
||||
:param Survey DCsurvey: DC survey class object
|
||||
:param string dim: either '2D' | '3D'
|
||||
:param string surveyType: either 'SURFACE' | 'GENERAL'
|
||||
:rtype: file
|
||||
:return: UBC2D-Data file
|
||||
"""
|
||||
Input:
|
||||
:string fileName -> including path where the file is written out
|
||||
:DCsurvey -> DC survey class object
|
||||
:string dtype -> either '2D' | '3D'
|
||||
:string stype -> either 'SURFACE' | 'GENERAL'
|
||||
|
||||
Output:
|
||||
:param UBC2D-Data file
|
||||
:return
|
||||
|
||||
Last edit: February 16th, 2016
|
||||
|
||||
@author: dominiquef
|
||||
|
||||
"""
|
||||
from SimPEG import mkvc
|
||||
|
||||
assert (dim=='2D') | (dim=='3D'), "Data must be either '2D' | '3D'"
|
||||
assert (surveyType=='SURFACE') | (surveyType=='GENERAL') | (surveyType=='SIMPLE'), "Data must be either 'SURFACE' | 'GENERAL' | 'SIMPLE'"
|
||||
assert (dtype=='2D') | (dtype=='3D'), "Data must be either '2D' | '3D'"
|
||||
assert (stype=='SURFACE') | (stype=='GENERAL') | (stype=='SIMPLE'), "Data must be either 'SURFACE' | 'GENERAL' | 'SIMPLE'"
|
||||
|
||||
fid = open(fileName,'w')
|
||||
fid.write('! ' + surveyType + ' FORMAT\n')
|
||||
|
||||
if iptype!=0:
|
||||
fid.write('IPTYPE=%i\n'%iptype)
|
||||
|
||||
else:
|
||||
fid.write('! ' + stype + ' FORMAT\n')
|
||||
fid.write('! ' + stype + ' FORMAT\n')
|
||||
|
||||
count = 0
|
||||
|
||||
@@ -504,10 +463,10 @@ def writeUBC_DCobs(fileName, DCsurvey, dim, surveyType, iptype = 0):
|
||||
M = rx[0]
|
||||
N = rx[1]
|
||||
|
||||
# Adapt source-receiver location for dim and surveyType
|
||||
if dim=='2D':
|
||||
# Adapt source-receiver location for dtype and stype
|
||||
if dtype=='2D':
|
||||
|
||||
if surveyType == 'SIMPLE':
|
||||
if stype == 'SIMPLE':
|
||||
|
||||
#fid.writelines("%e " % ii for ii in mkvc(tx[0,:]))
|
||||
A = np.repeat(tx[0,0],M.shape[0],axis=0)
|
||||
@@ -520,60 +479,58 @@ def writeUBC_DCobs(fileName, DCsurvey, dim, surveyType, iptype = 0):
|
||||
|
||||
else:
|
||||
|
||||
if surveyType == 'SURFACE':
|
||||
if stype == 'SURFACE':
|
||||
|
||||
fid.writelines("%f " % ii for ii in mkvc(tx[0,:]))
|
||||
fid.writelines("%e " % ii for ii in mkvc(tx[0,:]))
|
||||
M = M[:,0]
|
||||
N = N[:,0]
|
||||
|
||||
if surveyType == 'GENERAL':
|
||||
|
||||
# Flip sign for z-elevation to depth
|
||||
tx[2::2,:] = -tx[2::2,:]
|
||||
if stype == 'GENERAL':
|
||||
|
||||
fid.writelines("%e " % ii for ii in mkvc(tx[::2,:]))
|
||||
M = M[:,0::2]
|
||||
N = N[:,0::2]
|
||||
|
||||
# Flip sign for z-elevation to depth
|
||||
M[:,1::2] = -M[:,1::2]
|
||||
N[:,1::2] = -N[:,1::2]
|
||||
|
||||
fid.write('%i\n'% nD)
|
||||
np.savetxt(fid, np.c_[ M, N , DCsurvey.dobs[count:count+nD], DCsurvey.std[count:count+nD] ], fmt='%f',delimiter=' ',newline='\n')
|
||||
np.savetxt(fid, np.c_[ M, N , DCsurvey.dobs[count:count+nD], DCsurvey.std[count:count+nD] ], fmt='%e',delimiter=' ',newline='\n')
|
||||
|
||||
if dim=='3D':
|
||||
if dtype=='3D':
|
||||
|
||||
if surveyType == 'SURFACE':
|
||||
if stype == 'SURFACE':
|
||||
|
||||
fid.writelines("%e " % ii for ii in mkvc(tx[0:2,:]))
|
||||
M = M[:,0:2]
|
||||
N = N[:,0:2]
|
||||
|
||||
if surveyType == 'GENERAL':
|
||||
if stype == 'GENERAL':
|
||||
|
||||
fid.writelines("%e " % ii for ii in mkvc(tx[0:3,:]))
|
||||
fid.writelines("%e " % ii for ii in mkvc(tx))
|
||||
|
||||
fid.write('%i\n'% nD)
|
||||
np.savetxt(fid, np.c_[ M, N , DCsurvey.dobs[count:count+nD], DCsurvey.std[count:count+nD] ], fmt='%e',delimiter=' ',newline='\n')
|
||||
fid.write('\n')
|
||||
|
||||
count += nD
|
||||
|
||||
fid.close()
|
||||
|
||||
def convertObs_DC3D_to_2D(DCsurvey, lineID, flag='local'):
|
||||
def convertObs_DC3D_to_2D(DCsurvey,lineID):
|
||||
"""
|
||||
Read DC survey and projects the coordinate system
|
||||
according to the flag = 'Xloc' | 'Yloc' | 'local' (default)
|
||||
In the 'local' system, station coordinates are referenced
|
||||
to distance from the first srcLoc[0].loc[0]
|
||||
Read DC survey and data and change
|
||||
coordinate system to distance along line assuming
|
||||
all data is acquired along line.
|
||||
First transmitter pole is assumed to be at the origin
|
||||
|
||||
The Z value is preserved, but Y coordinates zeroed.
|
||||
Assumes flat topo for now...
|
||||
|
||||
:param DC.Survey survey3D: 3D simpeg DC survey
|
||||
:rtype: DC.Survey
|
||||
:return: survey2D
|
||||
Input:
|
||||
:param Tx, Rx
|
||||
|
||||
Output:
|
||||
:figure Tx2d, Rx2d
|
||||
|
||||
Edited Feb 17th, 2016
|
||||
|
||||
@author: dominiquef
|
||||
|
||||
"""
|
||||
from SimPEG import np
|
||||
@@ -613,39 +570,25 @@ def convertObs_DC3D_to_2D(DCsurvey, lineID, flag='local'):
|
||||
Rx = DCsurvey.srcList[indx[ii]].rxList[0].locs
|
||||
nrx = Rx[0].shape[0]
|
||||
|
||||
if flag == 'local':
|
||||
# Find A electrode along line
|
||||
vec, r = r_unit(x0,Tx[ii][0,0:2])
|
||||
A = stn_id(vecTx,vec,r)
|
||||
# Find A electrode along line
|
||||
vec, r = r_unit(x0,Tx[ii][0,0:2])
|
||||
A = stn_id(vecTx,vec,r)
|
||||
|
||||
# Find B electrode along line
|
||||
vec, r = r_unit(x0,Tx[ii][1,0:2])
|
||||
B = stn_id(vecTx,vec,r)
|
||||
# Find B electrode along line
|
||||
vec, r = r_unit(x0,Tx[ii][1,0:2])
|
||||
B = stn_id(vecTx,vec,r)
|
||||
|
||||
M = np.zeros(nrx)
|
||||
N = np.zeros(nrx)
|
||||
for kk in range(nrx):
|
||||
M = np.zeros(nrx)
|
||||
N = np.zeros(nrx)
|
||||
for kk in range(nrx):
|
||||
|
||||
# Find all M electrodes along line
|
||||
vec, r = r_unit(x0,Rx[0][kk,0:2])
|
||||
M[kk] = stn_id(vecTx,vec,r)
|
||||
# Find all M electrodes along line
|
||||
vec, r = r_unit(x0,Rx[0][kk,0:2])
|
||||
M[kk] = stn_id(vecTx,vec,r)
|
||||
|
||||
# Find all N electrodes along line
|
||||
vec, r = r_unit(x0,Rx[1][kk,0:2])
|
||||
N[kk] = stn_id(vecTx,vec,r)
|
||||
elif flag == 'Yloc':
|
||||
""" Flip the XY axis locs"""
|
||||
A = Tx[ii][0,1]
|
||||
B = Tx[ii][1,1]
|
||||
M = Rx[0][:,1]
|
||||
N = Rx[1][:,1]
|
||||
|
||||
elif flag == 'Xloc':
|
||||
""" Copy the rx-tx locs"""
|
||||
A = Tx[ii][0,0]
|
||||
B = Tx[ii][1,0]
|
||||
M = Rx[0][:,0]
|
||||
N = Rx[1][:,0]
|
||||
# Find all N electrodes along line
|
||||
vec, r = r_unit(x0,Rx[1][kk,0:2])
|
||||
N[kk] = stn_id(vecTx,vec,r)
|
||||
|
||||
Rx = DC.RxDipole(np.c_[M,np.zeros(nrx),Rx[0][:,2]],np.c_[N,np.zeros(nrx),Rx[1][:,2]])
|
||||
|
||||
@@ -659,53 +602,50 @@ def convertObs_DC3D_to_2D(DCsurvey, lineID, flag='local'):
|
||||
|
||||
return DCsurvey2D
|
||||
|
||||
def readUBC_DC3Dobs(fileName, rtype = 'DC'):
|
||||
def readUBC_DC3Dobs(fileName):
|
||||
"""
|
||||
Read UBC GIF IP 3D observation file and generate survey
|
||||
Read UBC GIF DCIP 3D observation file and generate arrays for tx-rx location
|
||||
|
||||
:param string fileName:, path to the UBC GIF 3D obs file
|
||||
:rtype: Survey
|
||||
:return: DCIPsurvey
|
||||
Input:
|
||||
:param fileName, path to the UBC GIF 3D obs file
|
||||
|
||||
Output:
|
||||
:param rx, tx, d, wd
|
||||
:return
|
||||
|
||||
Created on Mon December 7th, 2015
|
||||
|
||||
@author: dominiquef
|
||||
|
||||
"""
|
||||
zflag = True # Flag for z value provided
|
||||
|
||||
# Load file
|
||||
if rtype == 'IP':
|
||||
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='IPTYPE')
|
||||
|
||||
elif rtype == 'DC':
|
||||
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!')
|
||||
|
||||
else:
|
||||
print("rtype must be 'DC'(default) | 'IP'")
|
||||
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!')
|
||||
|
||||
# Pre-allocate
|
||||
srcLists = []
|
||||
Rx = []
|
||||
d = []
|
||||
wd = []
|
||||
|
||||
zflag = True # Flag for z value provided
|
||||
|
||||
# Countdown for number of obs/tx
|
||||
count = 0
|
||||
for ii in range(obsfile.shape[0]):
|
||||
|
||||
# Skip if blank line
|
||||
if not obsfile[ii]:
|
||||
continue
|
||||
|
||||
# First line or end of a transmitter block, read transmitter info
|
||||
# First line is transmitter with number of receivers
|
||||
if count==0:
|
||||
# Read the line
|
||||
temp = (np.fromstring(obsfile[ii], dtype=float, sep=' ').T)
|
||||
|
||||
temp = (np.fromstring(obsfile[ii], dtype=float,sep=' ').T)
|
||||
count = int(temp[-1])
|
||||
|
||||
# Check if z value is provided, if False -> nan
|
||||
if len(temp)==5:
|
||||
tx = np.r_[temp[0:2],np.nan,temp[2:4],np.nan]
|
||||
|
||||
zflag = False # Pass on the flag to the receiver loc
|
||||
tx = np.r_[temp[0:2],np.nan,temp[0:2],np.nan]
|
||||
zflag = False
|
||||
|
||||
else:
|
||||
tx = temp[:-1]
|
||||
@@ -713,16 +653,8 @@ def readUBC_DC3Dobs(fileName, rtype = 'DC'):
|
||||
rx = []
|
||||
continue
|
||||
|
||||
temp = np.fromstring(obsfile[ii], dtype=float,sep=' ') # Get the string
|
||||
temp = np.fromstring(obsfile[ii], dtype=float,sep=' ')
|
||||
|
||||
# Filter out negative IP
|
||||
# if temp[-2] < 0:
|
||||
# count = count -1
|
||||
# print "Negative!"
|
||||
#
|
||||
# else:
|
||||
|
||||
# If the Z-location is provided, otherwise put nan
|
||||
if zflag:
|
||||
|
||||
rx.append(temp[:-2])
|
||||
@@ -732,7 +664,7 @@ def readUBC_DC3Dobs(fileName, rtype = 'DC'):
|
||||
wd.append(temp[-1])
|
||||
|
||||
else:
|
||||
rx.append(np.r_[temp[0:2],np.nan,temp[2:4],np.nan] )
|
||||
rx.append(np.r_[temp[0:2],np.nan,temp[0:2],np.nan] )
|
||||
# Check if there is data with the location
|
||||
if len(temp)==6:
|
||||
d.append(temp[-2])
|
||||
@@ -740,7 +672,7 @@ def readUBC_DC3Dobs(fileName, rtype = 'DC'):
|
||||
|
||||
count = count -1
|
||||
|
||||
# Reach the end of transmitter block, append the src, rx and continue
|
||||
# Reach the end of transmitter block
|
||||
if count == 0:
|
||||
rx = np.asarray(rx)
|
||||
Rx = DC.RxDipole(rx[:,:3],rx[:,3:])
|
||||
@@ -756,12 +688,19 @@ def readUBC_DC3Dobs(fileName, rtype = 'DC'):
|
||||
|
||||
def readUBC_DC2Dobs(fileName):
|
||||
"""
|
||||
------- NEEDS TO BE UPDATED ------
|
||||
Read UBC GIF 2D observation file and generate arrays for tx-rx location
|
||||
|
||||
:param string fileName: path to the UBC GIF 2D model file
|
||||
:rtype: (DC.Src, DC.Rx, ??, ??)
|
||||
:return: source_locs, rx_locs, ??, ??
|
||||
Input:
|
||||
:param fileName, path to the UBC GIF 2D model file
|
||||
|
||||
Output:
|
||||
:param rx, tx
|
||||
:return
|
||||
|
||||
Created on Thu Nov 12 13:14:10 2015
|
||||
|
||||
@author: dominiquef
|
||||
|
||||
"""
|
||||
|
||||
from SimPEG import np
|
||||
@@ -796,78 +735,16 @@ def readUBC_DC2Dobs(fileName):
|
||||
|
||||
return tx, rx, d, wd
|
||||
|
||||
def readUBC_DC2Dpre(fileName):
|
||||
"""
|
||||
Read UBC GIF DCIP 2D observation file and generate arrays for tx-rx location
|
||||
|
||||
Input:
|
||||
:param string fileName: path to the UBC GIF 3D obs file
|
||||
:rtype: DC.Survey
|
||||
:return: DCsurvey
|
||||
|
||||
Created on Mon March 9th, 2016 << Doug's 70th Birthday !! >>
|
||||
|
||||
@author: dominiquef
|
||||
|
||||
"""
|
||||
|
||||
# Load file
|
||||
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!')
|
||||
|
||||
# Pre-allocate
|
||||
srcLists = []
|
||||
Rx = []
|
||||
d = []
|
||||
zflag = True # Flag for z value provided
|
||||
|
||||
for ii in range(obsfile.shape[0]):
|
||||
|
||||
if not obsfile[ii]:
|
||||
continue
|
||||
|
||||
# First line is transmitter with number of receivers
|
||||
|
||||
|
||||
temp = (np.fromstring(obsfile[ii], dtype=float,sep=' ').T)
|
||||
|
||||
|
||||
# Check if z value is provided, if False -> nan
|
||||
if len(temp)==5:
|
||||
tx = np.r_[temp[0],np.nan,np.nan,temp[1],np.nan,np.nan]
|
||||
zflag = False
|
||||
|
||||
else:
|
||||
tx = np.r_[temp[0],np.nan,temp[1],temp[2],np.nan,temp[3]]
|
||||
|
||||
|
||||
if zflag:
|
||||
rx = np.c_[temp[4],np.nan,temp[5],temp[6],np.nan,temp[7]]
|
||||
|
||||
|
||||
else:
|
||||
rx = np.c_[temp[2],np.nan,np.nan,temp[3],np.nan,np.nan]
|
||||
# Check if there is data with the location
|
||||
|
||||
d.append(temp[-1])
|
||||
|
||||
|
||||
Rx = DC.RxDipole(rx[:,:3],rx[:,3:])
|
||||
srcLists.append( DC.SrcDipole( [Rx], tx[:3],tx[3:]) )
|
||||
|
||||
# Create survey class
|
||||
survey = DC.SurveyDC(srcLists)
|
||||
|
||||
survey.dobs = np.asarray(d)
|
||||
|
||||
return {'DCsurvey':survey}
|
||||
|
||||
def readUBC_DC2DMesh(fileName):
|
||||
"""
|
||||
Read UBC GIF 2DTensor mesh and generate 2D Tensor mesh in simpeg
|
||||
|
||||
:param string fileName: path to the UBC GIF mesh file
|
||||
:rtype: Mesh.TensorMesh
|
||||
:return: SimPEG TensorMesh 2D object
|
||||
Input:
|
||||
:param fileName, path to the UBC GIF mesh file
|
||||
|
||||
Output:
|
||||
:param SimPEG TensorMesh 2D object
|
||||
:return
|
||||
|
||||
Created on Thu Nov 12 13:14:10 2015
|
||||
|
||||
@@ -933,9 +810,12 @@ def xy_2_lineID(DCsurvey):
|
||||
they were collected. May need to generalize for random
|
||||
point locations, but will be more expensive
|
||||
|
||||
:param numpy.array DCdict: Vectors of station location
|
||||
:rtype: numpy.array
|
||||
:return: LineID Vector of integers
|
||||
Input:
|
||||
:param DCdict Vectors of station location
|
||||
|
||||
Output:
|
||||
:param LineID Vector of integers
|
||||
:return
|
||||
|
||||
Created on Thu Feb 11, 2015
|
||||
|
||||
@@ -1048,6 +928,7 @@ def getSrc_locs(DCsurvey):
|
||||
|
||||
srcMat = np.zeros((DCsurvey.nSrc,2,3))
|
||||
for ii in range(DCsurvey.nSrc):
|
||||
print np.asarray(DCsurvey.srcList[ii].loc).shape
|
||||
srcMat[ii,:,:] = np.asarray(DCsurvey.srcList[ii].loc)
|
||||
|
||||
return srcMat
|
||||
|
||||
@@ -1,10 +1,3 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
import numpy as np
|
||||
|
||||
def WennerSrcList(nElecs, aSpacing, in2D=False, plotIt=False):
|
||||
@@ -12,7 +5,7 @@ def WennerSrcList(nElecs, aSpacing, in2D=False, plotIt=False):
|
||||
import SimPEG.DCIP as DC
|
||||
|
||||
elocs = np.arange(0,aSpacing*nElecs,aSpacing)
|
||||
elocs -= (nElecs*aSpacing - aSpacing) / 2
|
||||
elocs -= (nElecs*aSpacing - aSpacing)/2
|
||||
space = 1
|
||||
WENNER = np.zeros((0,),dtype=int)
|
||||
for ii in range(nElecs):
|
||||
|
||||
+4
-10
@@ -1,10 +1,4 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .BaseDC import *
|
||||
from .BaseIP import *
|
||||
from .DCIPUtils import *
|
||||
from . import Utils
|
||||
from BaseDC import *
|
||||
from BaseIP import *
|
||||
from DCIPUtils import *
|
||||
import Utils
|
||||
|
||||
+6
-13
@@ -1,16 +1,7 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import object
|
||||
from . import Utils, Survey, Problem
|
||||
import numpy as np, scipy.sparse as sp, gc
|
||||
from future.utils import with_metaclass
|
||||
import Utils, Survey, Problem, numpy as np, scipy.sparse as sp, gc
|
||||
|
||||
|
||||
class BaseDataMisfit(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
class BaseDataMisfit(object):
|
||||
"""BaseDataMisfit
|
||||
|
||||
.. note::
|
||||
@@ -18,6 +9,8 @@ class BaseDataMisfit(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
You should inherit from this class to create your own data misfit term.
|
||||
"""
|
||||
|
||||
__metaclass__ = Utils.SimPEGMetaClass
|
||||
|
||||
debug = False #: Print debugging information
|
||||
counter = None #: Set this to a SimPEG.Utils.Counter() if you want to count things
|
||||
|
||||
@@ -100,11 +93,11 @@ class l2_DataMisfit(BaseDataMisfit):
|
||||
survey = self.survey
|
||||
|
||||
if getattr(survey,'std', None) is None:
|
||||
print('SimPEG.DataMisfit.l2_DataMisfit assigning default std of 5%')
|
||||
print 'SimPEG.DataMisfit.l2_DataMisfit assigning default std of 5%'
|
||||
survey.std = 0.05
|
||||
|
||||
if getattr(survey, 'eps', None) is None:
|
||||
print('SimPEG.DataMisfit.l2_DataMisfit assigning default eps of 1e-5 * ||dobs||')
|
||||
print 'SimPEG.DataMisfit.l2_DataMisfit assigning default eps of 1e-5 * ||dobs||'
|
||||
survey.eps = np.linalg.norm(Utils.mkvc(survey.dobs),2)*1e-5
|
||||
|
||||
self._Wd = Utils.sdiag(1/(abs(survey.dobs)*survey.std+survey.eps))
|
||||
|
||||
+55
-233
@@ -1,15 +1,4 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import absolute_import
|
||||
from builtins import open
|
||||
from builtins import int
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import str
|
||||
from builtins import object
|
||||
from . import Utils
|
||||
import numpy as np
|
||||
import Utils, numpy as np
|
||||
|
||||
class InversionDirective(object):
|
||||
"""InversionDirective"""
|
||||
@@ -26,7 +15,7 @@ class InversionDirective(object):
|
||||
@inversion.setter
|
||||
def inversion(self, i):
|
||||
if getattr(self,'_inversion',None) is not None:
|
||||
print('Warning: InversionDirective %s has switched to a new inversion.' % self.__name__)
|
||||
print 'Warning: InversionDirective %s has switched to a new inversion.' % self.__name__
|
||||
self._inversion = i
|
||||
|
||||
@property
|
||||
@@ -79,7 +68,7 @@ class DirectiveList(object):
|
||||
def inversion(self, i):
|
||||
if self.inversion is i: return
|
||||
if getattr(self,'_inversion',None) is not None:
|
||||
print('Warning: %s has switched to a new inversion.' % self.__name__)
|
||||
print 'Warning: %s has switched to a new inversion.' % self.__name__
|
||||
for d in self.dList:
|
||||
d.inversion = i
|
||||
self._inversion = i
|
||||
@@ -131,7 +120,7 @@ class BetaEstimate_ByEig(InversionDirective):
|
||||
:return: beta0
|
||||
"""
|
||||
|
||||
if self.debug: print('Calculating the beta0 parameter.')
|
||||
if self.debug: print 'Calculating the beta0 parameter.'
|
||||
|
||||
m = self.invProb.curModel
|
||||
f = self.invProb.getFields(m, store=True, deleteWarmstart=False)
|
||||
@@ -152,21 +141,15 @@ 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
|
||||
|
||||
|
||||
class TargetMisfit(InversionDirective):
|
||||
|
||||
chifact = 1.
|
||||
phi_d_star = None
|
||||
|
||||
@property
|
||||
def target(self):
|
||||
if getattr(self, '_target', None) is None:
|
||||
if self.phi_d_star is None:
|
||||
self.phi_d_star = 0.5 * self.survey.nD
|
||||
self._target = self.chifact * self.phi_d_star # the factor of 0.5 is because we do phid = 0.5*|| dpred - dobs||^2
|
||||
self._target = self.survey.nD*0.5
|
||||
return self._target
|
||||
@target.setter
|
||||
def target(self, val):
|
||||
@@ -178,7 +161,7 @@ class TargetMisfit(InversionDirective):
|
||||
|
||||
|
||||
|
||||
class SaveEveryIteration(InversionDirective):
|
||||
class _SaveEveryIteration(InversionDirective):
|
||||
@property
|
||||
def name(self):
|
||||
if getattr(self, '_name', None) is None:
|
||||
@@ -199,21 +182,21 @@ class SaveEveryIteration(InversionDirective):
|
||||
self._fileName = value
|
||||
|
||||
|
||||
class SaveModelEveryIteration(SaveEveryIteration):
|
||||
class SaveModelEveryIteration(_SaveEveryIteration):
|
||||
"""SaveModelEveryIteration"""
|
||||
|
||||
def initialize(self):
|
||||
print("SimPEG.SaveModelEveryIteration will save your models as: '###-%s.npy'"%self.fileName)
|
||||
print "SimPEG.SaveModelEveryIteration will save your models as: '###-%s.npy'"%self.fileName
|
||||
|
||||
def endIter(self):
|
||||
np.save('%03d-%s' % (self.opt.iter, self.fileName), self.opt.xc)
|
||||
|
||||
|
||||
class SaveOutputEveryIteration(SaveEveryIteration):
|
||||
class SaveOutputEveryIteration(_SaveEveryIteration):
|
||||
"""SaveModelEveryIteration"""
|
||||
|
||||
def initialize(self):
|
||||
print("SimPEG.SaveOutputEveryIteration will save your inversion progress as: '###-%s.txt'"%self.fileName)
|
||||
print "SimPEG.SaveOutputEveryIteration will save your inversion progress as: '###-%s.txt'"%self.fileName
|
||||
f = open(self.fileName+'.txt', 'w')
|
||||
f.write(" # beta phi_d phi_m f\n")
|
||||
f.close()
|
||||
@@ -223,23 +206,23 @@ class SaveOutputEveryIteration(SaveEveryIteration):
|
||||
f.write(' %3d %1.4e %1.4e %1.4e %1.4e\n'%(self.opt.iter, self.invProb.beta, self.invProb.phi_d, self.invProb.phi_m, self.opt.f))
|
||||
f.close()
|
||||
|
||||
class SaveOutputDictEveryIteration(SaveEveryIteration):
|
||||
class SaveOutputDictEveryIteration(_SaveEveryIteration):
|
||||
"""SaveOutputDictEveryIteration"""
|
||||
|
||||
def initialize(self):
|
||||
print("SimPEG.SaveOutputDictEveryIteration will save your inversion progress as dictionary: '###-%s.npz'"%self.fileName)
|
||||
print "SimPEG.SaveOutputDictEveryIteration will save your inversion progress as dictionary: '###-%s.npz'"%self.fileName
|
||||
|
||||
def endIter(self):
|
||||
# Save the data.
|
||||
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:
|
||||
if self.reg.smoothModel == 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:
|
||||
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:
|
||||
@@ -254,210 +237,49 @@ class SaveOutputDictEveryIteration(SaveEveryIteration):
|
||||
# Save the file as a npz
|
||||
np.savez('{:03d}-{:s}'.format(self.opt.iter,self.fileName), iter=self.opt.iter, beta=self.invProb.beta, phi_d=self.invProb.phi_d, phi_m=self.invProb.phi_m, phi_ms=phi_ms, phi_mx=phi_mx, phi_my=phi_my, phi_mz=phi_mz,f=self.opt.f, m=self.invProb.curModel,dpred=self.invProb.dpred)
|
||||
|
||||
class SaveOutputDictEveryIteration(_SaveEveryIteration):
|
||||
"""SaveOutputDictEveryIteration
|
||||
A directive that saves some relevant information from the inversion run to a numpy .npz dictionary file (see numpy.savez function for further info).
|
||||
"""
|
||||
|
||||
def initialize(self):
|
||||
print "SimPEG.SaveOutputDictEveryIteration will save your inversion progress as dictionary: '%s-###.npz'"%self.fileName
|
||||
|
||||
def endIter(self):
|
||||
# Save the data.
|
||||
ms = self.reg.Ws * ( self.reg.mapping * (self.invProb.curModel - self.reg.mref) )
|
||||
phi_ms = 0.5*ms.dot(ms)
|
||||
if self.reg.smoothModel == 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 and 'CYL' not in self.prob.mesh._meshType:
|
||||
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('{:s}-{:03d}'.format(self.fileName,self.opt.iter), 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)
|
||||
|
||||
|
||||
|
||||
# class UpdateReferenceModel(Parameter):
|
||||
|
||||
# mref0 = None
|
||||
|
||||
# def nextIter(self):
|
||||
# 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 = None
|
||||
norms = [2.,2.,2.,2.]
|
||||
factor = None
|
||||
gamma = None
|
||||
phi_m_last = None
|
||||
phi_d_last = None
|
||||
f_old = None
|
||||
f_min_change = 1e-2
|
||||
beta_tol = 5e-2
|
||||
prctile = 95
|
||||
|
||||
# Solving parameter for IRLS (mode:2)
|
||||
IRLSiter = 0
|
||||
minGNiter = 5
|
||||
maxIRLSiter = 10
|
||||
iterStart = 0
|
||||
|
||||
# Beta schedule
|
||||
coolingFactor = 2.
|
||||
coolingRate = 1
|
||||
|
||||
mode = 1
|
||||
|
||||
@property
|
||||
def target(self):
|
||||
if getattr(self, '_target', None) is None:
|
||||
self._target = self.survey.nD*0.5
|
||||
return self._target
|
||||
@target.setter
|
||||
def target(self, val):
|
||||
self._target = val
|
||||
|
||||
def initialize(self):
|
||||
|
||||
if self.mode == 1:
|
||||
self.reg.norms = [2., 2., 2., 2.]
|
||||
|
||||
def endIter(self):
|
||||
|
||||
# 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...")
|
||||
|
||||
self.mode = 2
|
||||
|
||||
# Either use the supplied epsilon, or fix base on distribution of
|
||||
# model values
|
||||
if getattr(self, 'reg.eps', None) is None:
|
||||
self.reg.eps_p = np.percentile(np.abs(self.invProb.curModel),self.prctile)
|
||||
else:
|
||||
self.reg.eps_p = self.eps[0]
|
||||
|
||||
if getattr(self, 'reg.eps', None) is None:
|
||||
self.reg.eps_q = np.percentile(np.abs(self.reg.regmesh.cellDiffxStencil*(self.reg.mapping * self.invProb.curModel)),self.prctile)
|
||||
else:
|
||||
self.reg.eps_q = self.eps[1]
|
||||
|
||||
print("L[p qx qy qz]-norm : " + str(self.reg.norms))
|
||||
print("eps_p: " + str(self.reg.eps_p) + " eps_q: " + str(self.reg.eps_q))
|
||||
|
||||
self.reg.norms = self.norms
|
||||
self.coolingFactor = 1.
|
||||
self.coolingRate = 1
|
||||
self.iterStart = self.opt.iter
|
||||
self.phi_d_last = self.invProb.phi_d
|
||||
self.phi_m_last = self.invProb.phi_m_last
|
||||
|
||||
self.reg.l2model = self.invProb.curModel
|
||||
self.reg.curModel = self.invProb.curModel
|
||||
|
||||
if getattr(self, 'f_old', None) is None:
|
||||
self.f_old = self.reg.eval(self.invProb.curModel)#self.invProb.evalFunction(self.invProb.curModel, return_g=False, return_H=False)
|
||||
|
||||
# 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)
|
||||
self.invProb.beta /= self.coolingFactor
|
||||
|
||||
|
||||
# Only update after GN iterations
|
||||
if (self.opt.iter-self.iterStart) % self.minGNiter == 0 and self.mode==2:
|
||||
|
||||
self.IRLSiter += 1
|
||||
|
||||
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))
|
||||
|
||||
# Check for maximum number of IRLS cycles
|
||||
if self.IRLSiter == 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")
|
||||
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
|
||||
|
||||
# Get phi_m at the end of current iteration
|
||||
self.phi_m_last = self.invProb.phi_m_last
|
||||
|
||||
# Reset the regularization matrices so that it is
|
||||
# recalculated for current model
|
||||
self.reg._Wsmall = None
|
||||
self.reg._Wx = None
|
||||
self.reg._Wy = None
|
||||
self.reg._Wz = None
|
||||
|
||||
# Update the model used for the IRLS weights
|
||||
self.reg.curModel = self.invProb.curModel
|
||||
|
||||
# Temporarely set gamma to 1. to get raw phi_m
|
||||
self.reg.gamma = 1.
|
||||
|
||||
# Compute new model objective function value
|
||||
phim_new = self.reg.eval(self.invProb.curModel)
|
||||
|
||||
# Update gamma to scale the regularization between IRLS iterations
|
||||
self.reg.gamma = self.phi_m_last / phim_new
|
||||
|
||||
# Reset the regularization matrices again for new gamma
|
||||
self.reg._Wsmall = None
|
||||
self.reg._Wx = None
|
||||
self.reg._Wy = None
|
||||
self.reg._Wz = None
|
||||
|
||||
# Check if misfit is within the tolerance, otherwise scale beta
|
||||
val = self.invProb.phi_d / (self.survey.nD*0.5)
|
||||
|
||||
if np.abs(1.-val) > self.beta_tol:
|
||||
self.invProb.beta = self.invProb.beta * self.survey.nD*0.5 / self.invProb.phi_d
|
||||
|
||||
class Update_lin_PreCond(InversionDirective):
|
||||
"""
|
||||
Create a Jacobi preconditioner for the linear problem
|
||||
"""
|
||||
onlyOnStart=False
|
||||
|
||||
def initialize(self):
|
||||
|
||||
if getattr(self.opt, 'approxHinv', None) is None:
|
||||
# Update the pre-conditioner
|
||||
diagA = np.sum(self.prob.G**2.,axis=0) + self.invProb.beta*(self.reg.W.T*self.reg.W).diagonal() #* (self.reg.mapping * np.ones(self.reg.curModel.size))**2.
|
||||
PC = Utils.sdiag((self.prob.mapping.deriv(None).T *diagA)**-1.)
|
||||
self.opt.approxHinv = PC
|
||||
|
||||
def endIter(self):
|
||||
# Cool the threshold parameter
|
||||
if self.onlyOnStart==True:
|
||||
return
|
||||
|
||||
if getattr(self.opt, 'approxHinv', None) is not None:
|
||||
# Update the pre-conditioner
|
||||
diagA = np.sum(self.prob.G**2.,axis=0) + self.invProb.beta*(self.reg.W.T*self.reg.W).diagonal() #* (self.reg.mapping * np.ones(self.reg.curModel.size))**2.
|
||||
PC = Utils.sdiag((self.prob.mapping.deriv(None).T *diagA)**-1.)
|
||||
self.opt.approxHinv = PC
|
||||
|
||||
|
||||
class Update_Wj(InversionDirective):
|
||||
"""
|
||||
Create approx-sensitivity base weighting using the probing method
|
||||
"""
|
||||
k = None # Number of probing cycles
|
||||
itr = None # Iteration number to update Wj, or always update if None
|
||||
|
||||
def endIter(self):
|
||||
|
||||
if self.itr is None or self.itr == self.opt.iter:
|
||||
|
||||
m = self.invProb.curModel
|
||||
if self.k is None:
|
||||
self.k = int(self.survey.nD/10)
|
||||
|
||||
def JtJv(v):
|
||||
|
||||
Jv = self.prob.Jvec(m, v)
|
||||
|
||||
return self.prob.Jtvec(m,Jv)
|
||||
|
||||
JtJdiag = Utils.diagEst(JtJv,len(m),k=self.k)
|
||||
JtJdiag = JtJdiag / max(JtJdiag)
|
||||
|
||||
self.reg.wght = JtJdiag
|
||||
|
||||
@@ -1,125 +0,0 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
import numpy as np
|
||||
from scipy.constants import mu_0, pi
|
||||
from scipy import special
|
||||
|
||||
def DCAnalyticHalf(txloc, rxlocs, sigma, earth_type="wholespace"):
|
||||
"""
|
||||
Analytic solution for electric potential from a postive pole
|
||||
|
||||
:param array txloc: a xyz location of A (+) electrode (np.r_[xa, ya, za])
|
||||
:param list rxlocs: xyz locations of M (+) and N (-) electrodes [M, N]
|
||||
|
||||
e.g.
|
||||
rxlocs = [M, N]
|
||||
M: xyz locations of M (+) electrode (np.c_[xmlocs, ymlocs, zmlocs])
|
||||
N: xyz locations of N (-) electrode (np.c_[xnlocs, ynlocs, znlocs])
|
||||
|
||||
:param float or complex sigma: values of conductivity
|
||||
:param string earth_type: values of conductivity ("wholsespace" or "halfspace")
|
||||
|
||||
"""
|
||||
M = rxlocs[0]
|
||||
N = rxlocs[1]
|
||||
|
||||
rM = np.sqrt( (M[:,0]-txloc[0])**2 + (M[:,1]-txloc[1])**2 + (M[:,2]-txloc[1])**2 )
|
||||
rN = np.sqrt( (N[:,0]-txloc[0])**2 + (N[:,1]-txloc[1])**2 + (N[:,2]-txloc[1])**2 )
|
||||
|
||||
phiM = 1./(4*np.pi*rM*sigma)
|
||||
phiN = 1./(4*np.pi*rN*sigma)
|
||||
phi = phiM - phiN
|
||||
|
||||
if earth_type == "halfspace":
|
||||
phi *= 2
|
||||
|
||||
return phi
|
||||
|
||||
deg2rad = lambda deg: deg/180.*np.pi
|
||||
rad2deg = lambda rad: rad*180./np.pi
|
||||
|
||||
def DCAnalyticSphere(txloc, rxloc, xc, radius, sigma, sigma1, \
|
||||
field_type = "secondary", order=12, halfspace=False):
|
||||
# def DCSpherePointCurrent(txloc, rxloc, xc, radius, rho, rho1, \
|
||||
# field_type = "secondary", order=12):
|
||||
"""
|
||||
|
||||
Parameters:
|
||||
|
||||
:param array txloc: A (+) current electrode location (x,y,z)
|
||||
:param array xc: x center of depressed sphere
|
||||
:param array rxloc: M(+) electrode locations / (Nx3 array, # of electrodes)
|
||||
|
||||
:param float radius: radius (float): radius of the sphere (m)
|
||||
:param float rho: resistivity of the background (ohm-m)
|
||||
:param float rho1: resistivity of the sphere
|
||||
:param string field_type: : "secondary", "total", "primary"
|
||||
(default="secondary")
|
||||
"secondary": secondary potential only due to sphere
|
||||
"primary": primary potential from the point source
|
||||
"total": "secondary"+"primary"
|
||||
:param float order: maximum order of Legendre polynomial (default=12)
|
||||
|
||||
Written by Seogi Kang (skang@eos.ubc.ca)
|
||||
Ph.D. Candidate of University of British Columbia, Canada
|
||||
|
||||
"""
|
||||
|
||||
Pleg = []
|
||||
# Compute Legendre Polynomial
|
||||
for i in range(order):
|
||||
Pleg.append(special.legendre(i, monic=0))
|
||||
|
||||
|
||||
rho = 1./sigma
|
||||
rho1 = 1./sigma1
|
||||
|
||||
# Center of the sphere should be aligned in txloc in y-direction
|
||||
yc = txloc[1]
|
||||
xyz = np.c_[rxloc[:,0]-xc, rxloc[:,1]-yc, rxloc[:,2]]
|
||||
r = np.sqrt( (xyz**2).sum(axis=1) )
|
||||
|
||||
x0 = abs(txloc[0]-xc)
|
||||
|
||||
costheta = xyz[:,0]/r * (txloc[0]-xc)/x0
|
||||
phi = np.zeros_like(r)
|
||||
R = (r**2+x0**2.-2.*r*x0*costheta)**0.5
|
||||
# primary potential in a whole space
|
||||
prim = rho*1./(4*np.pi*R)
|
||||
|
||||
if field_type =="primary":
|
||||
return prim
|
||||
|
||||
sphind = r < radius
|
||||
out = np.zeros_like(r)
|
||||
for n in range(order):
|
||||
An, Bn = AnBnfun(n, radius, x0, rho, rho1)
|
||||
dumout = An*r[~sphind]**(-n-1.)*Pleg[n](costheta[~sphind])
|
||||
out[~sphind] += dumout
|
||||
dumin = Bn*r[sphind]**(n)*Pleg[n](costheta[sphind])
|
||||
out[sphind] += dumin
|
||||
|
||||
out[~sphind] += prim[~sphind]
|
||||
|
||||
if halfspace:
|
||||
scale = 2
|
||||
else:
|
||||
scale = 1
|
||||
|
||||
if field_type == "secondary":
|
||||
return scale*(out-prim)
|
||||
elif field_type == "total":
|
||||
return scale*out
|
||||
|
||||
def AnBnfun(n, radius, x0, rho, rho1, I=1.):
|
||||
const = I*rho/(4*np.pi)
|
||||
bunmo = n*rho + (n+1)*rho1
|
||||
An = const * radius**(2*n+1) / x0 ** (n+1.) * n * \
|
||||
(rho1-rho) / bunmo
|
||||
Bn = const * 1. / x0 ** (n+1.) * (2*n+1) * (rho1) / bunmo
|
||||
return An, Bn
|
||||
@@ -1,9 +1,4 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import numpy as np
|
||||
from scipy.constants import mu_0, pi
|
||||
from scipy.special import erf
|
||||
|
||||
@@ -1,307 +0,0 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import numpy as np
|
||||
from scipy.constants import mu_0, pi, epsilon_0
|
||||
from scipy.special import erf
|
||||
from SimPEG import Utils
|
||||
|
||||
omega = lambda f: 2.*np.pi*f
|
||||
# TODO:
|
||||
# r = lambda dx, dy, dz: np.sqrt( dx**2. + dy**2. + dz**2.)
|
||||
# k = lambda f, mu, epsilon, sig: np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
|
||||
|
||||
def E_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=0., epsr=1.):
|
||||
|
||||
"""
|
||||
Computing Analytic Electric fields from Electrical Dipole in a Wholespace
|
||||
TODO:
|
||||
Add description of parameters
|
||||
"""
|
||||
mu = mu_0*(1+kappa)
|
||||
epsilon = epsilon_0*epsr
|
||||
sig_hat = sig + 1j*omega(f)*epsilon
|
||||
|
||||
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
|
||||
# Check
|
||||
if XYZ.shape[0] > 1 & f.shape[0] > 1:
|
||||
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
|
||||
|
||||
dx = XYZ[:,0]-srcLoc[0]
|
||||
dy = XYZ[:,1]-srcLoc[1]
|
||||
dz = XYZ[:,2]-srcLoc[2]
|
||||
|
||||
r = np.sqrt( dx**2. + dy**2. + dz**2.)
|
||||
# k = np.sqrt( -1j*2.*np.pi*f*mu*sig )
|
||||
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
|
||||
|
||||
front = current * length / (4.*np.pi*sig_hat* r**3) * np.exp(-1j*k*r)
|
||||
mid = -k**2 * r**2 + 3*1j*k*r + 3
|
||||
|
||||
if orientation.upper() == 'X':
|
||||
Ex = front*((dx**2 / r**2)*mid + (k**2 * r**2 -1j*k*r-1.))
|
||||
Ey = front*(dx*dy / r**2)*mid
|
||||
Ez = front*(dx*dz / r**2)*mid
|
||||
return Ex, Ey, Ez
|
||||
|
||||
elif orientation.upper() == 'Y':
|
||||
# x--> y, y--> z, z-->x
|
||||
Ey = front*((dy**2 / r**2)*mid + (k**2 * r**2 -1j*k*r-1.))
|
||||
Ez = front*(dy*dz / r**2)*mid
|
||||
Ex = front*(dy*dx / r**2)*mid
|
||||
return Ex, Ey, Ez
|
||||
|
||||
elif orientation.upper() == 'Z':
|
||||
# x --> z, y --> x, z --> y
|
||||
Ez = front*((dz**2 / r**2)*mid + (k**2 * r**2 -1j*k*r-1.))
|
||||
Ex = front*(dz*dx / r**2)*mid
|
||||
Ey = front*(dz*dy / r**2)*mid
|
||||
return Ex, Ey, Ez
|
||||
|
||||
|
||||
def E_galvanic_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
|
||||
|
||||
"""
|
||||
Computing Galvanic portion of Electric fields from Electrical Dipole in a Wholespace
|
||||
TODO:
|
||||
Add description of parameters
|
||||
"""
|
||||
mu = mu_0*(1+kappa)
|
||||
epsilon = epsilon_0*epsr
|
||||
sig_hat = sig + 1j*omega(f)*epsilon
|
||||
|
||||
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
|
||||
# Check
|
||||
if XYZ.shape[0] > 1 & f.shape[0] > 1:
|
||||
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
|
||||
|
||||
dx = XYZ[:,0]-srcLoc[0]
|
||||
dy = XYZ[:,1]-srcLoc[1]
|
||||
dz = XYZ[:,2]-srcLoc[2]
|
||||
|
||||
r = np.sqrt( dx**2. + dy**2. + dz**2.)
|
||||
# k = np.sqrt( -1j*2.*np.pi*f*mu*sig )
|
||||
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
|
||||
|
||||
front = current * length / (4.*np.pi*sig_hat* r**3) * np.exp(-1j*k*r)
|
||||
mid = -k**2 * r**2 + 3*1j*k*r + 3
|
||||
|
||||
if orientation.upper() == 'X':
|
||||
Ex_galvanic = front*((dx**2 / r**2)*mid + (-1j*k*r-1.))
|
||||
Ey_galvanic = front*(dx*dy / r**2)*mid
|
||||
Ez_galvanic = front*(dx*dz / r**2)*mid
|
||||
return Ex_galvanic, Ey_galvanic, Ez_galvanic
|
||||
|
||||
elif orientation.upper() == 'Y':
|
||||
# x--> y, y--> z, z-->x
|
||||
Ey_galvanic = front*((dy**2 / r**2)*mid + (-1j*k*r-1.))
|
||||
Ez_galvanic = front*(dy*dz / r**2)*mid
|
||||
Ex_galvanic = front*(dy*dx / r**2)*mid
|
||||
return Ex_galvanic, Ey_galvanic, Ez_galvanic
|
||||
|
||||
elif orientation.upper() == 'Z':
|
||||
# x --> z, y --> x, z --> y
|
||||
Ez_galvanic = front*((dz**2 / r**2)*mid + (-1j*k*r-1.))
|
||||
Ex_galvanic = front*(dz*dx / r**2)*mid
|
||||
Ey_galvanic = front*(dz*dy / r**2)*mid
|
||||
return Ex_galvanic, Ey_galvanic, Ez_galvanic
|
||||
|
||||
|
||||
def E_inductive_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
|
||||
|
||||
"""
|
||||
Computing Inductive portion of Electric fields from Electrical Dipole in a Wholespace
|
||||
TODO:
|
||||
Add description of parameters
|
||||
"""
|
||||
mu = mu_0*(1+kappa)
|
||||
epsilon = epsilon_0*epsr
|
||||
sig_hat = sig + 1j*omega(f)*epsilon
|
||||
|
||||
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
|
||||
# Check
|
||||
if XYZ.shape[0] > 1 & f.shape[0] > 1:
|
||||
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
|
||||
|
||||
dx = XYZ[:,0]-srcLoc[0]
|
||||
dy = XYZ[:,1]-srcLoc[1]
|
||||
dz = XYZ[:,2]-srcLoc[2]
|
||||
|
||||
r = np.sqrt( dx**2. + dy**2. + dz**2.)
|
||||
# k = np.sqrt( -1j*2.*np.pi*f*mu*sig )
|
||||
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
|
||||
|
||||
front = current * length / (4.*np.pi*sig_hat* r**3) * np.exp(-1j*k*r)
|
||||
|
||||
if orientation.upper() == 'X':
|
||||
Ex_inductive = front*(k**2 * r**2)
|
||||
Ey_inductive = np.zeros_like(Ex_inductive)
|
||||
Ez_inductive = np.zeros_like(Ex_inductive)
|
||||
return Ex_inductive, Ey_inductive, Ez_inductive
|
||||
|
||||
elif orientation.upper() == 'Y':
|
||||
# x--> y, y--> z, z-->x
|
||||
Ey_inductive = front*(k**2 * r**2)
|
||||
Ez_inductive = np.zeros_like(Ey_inductive)
|
||||
Ex_inductive = np.zeros_like(Ey_inductive)
|
||||
return Ex_inductive, Ey_inductive, Ez_inductive
|
||||
|
||||
elif orientation.upper() == 'Z':
|
||||
# x --> z, y --> x, z --> y
|
||||
Ez_inductive = front*(k**2 * r**2)
|
||||
Ex_inductive = np.zeros_like(Ez_inductive)
|
||||
Ey_inductive = np.zeros_like(Ez_inductive)
|
||||
return Ex_inductive, Ey_inductive, Ez_inductive
|
||||
|
||||
|
||||
def J_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
|
||||
|
||||
"""
|
||||
Computing Current densities from Electrical Dipole in a Wholespace
|
||||
TODO:
|
||||
Add description of parameters
|
||||
"""
|
||||
|
||||
Ex, Ey, Ez = E_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=current, length=length, orientation=orientation, kappa=kappa, epsr=epsr)
|
||||
Jx = sig*Ex
|
||||
Jy = sig*Ey
|
||||
Jz = sig*Ez
|
||||
return Jx, Jy, Jz
|
||||
|
||||
|
||||
def J_galvanic_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
|
||||
|
||||
"""
|
||||
Computing Galvanic portion of Current densities from Electrical Dipole in a Wholespace
|
||||
TODO:
|
||||
Add description of parameters
|
||||
"""
|
||||
|
||||
Ex_galvanic, Ey_galvanic, Ez_galvanic = E_galvanic_from_ElectricDipoleWholeSpaced(XYZ, srcLoc, sig, f, current=current, length=length, orientation=orientation, kappa=kappa, epsr=epsr)
|
||||
Jx_galvanic = sig*Ex_galvanic
|
||||
Jy_galvanic = sig*Ey_galvanic
|
||||
Jz_galvanic = sig*Ez_galvanic
|
||||
return Jx_galvanic, Jy_galvanic, Jz_galvanic
|
||||
|
||||
|
||||
def J_inductive_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
|
||||
|
||||
"""
|
||||
Computing Inductive portion of Current densities from Electrical Dipole in a Wholespace
|
||||
TODO:
|
||||
Add description of parameters
|
||||
"""
|
||||
|
||||
Ex_inductive, Ey_inductive, Ez_inductive = E_inductive_from_ElectricDipoleWholeSpaced(XYZ, srcLoc, sig, f, current=current, length=length, orientation=orientation, kappa=kappa, epsr=epsr)
|
||||
Jx_inductive = sig*Ex_inductive
|
||||
Jy_inductive = sig*Ey_inductive
|
||||
Jz_inductive = sig*Ez_inductive
|
||||
return Jx_inductive, Jy_inductive, Jz_inductive
|
||||
|
||||
|
||||
def H_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
|
||||
|
||||
"""
|
||||
Computing Magnetic fields from Electrical Dipole in a Wholespace
|
||||
TODO:
|
||||
Add description of parameters
|
||||
"""
|
||||
mu = mu_0*(1+kappa)
|
||||
epsilon = epsilon_0*epsr
|
||||
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
|
||||
# Check
|
||||
if XYZ.shape[0] > 1 & f.shape[0] > 1:
|
||||
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
|
||||
|
||||
dx = XYZ[:,0]-srcLoc[0]
|
||||
dy = XYZ[:,1]-srcLoc[1]
|
||||
dz = XYZ[:,2]-srcLoc[2]
|
||||
|
||||
r = np.sqrt( dx**2. + dy**2. + dz**2.)
|
||||
# k = np.sqrt( -1j*2.*np.pi*f*mu*sig )
|
||||
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
|
||||
|
||||
front = current * length / (4.*np.pi* r**2) * (-1j*k*r + 1) * np.exp(-1j*k*r)
|
||||
|
||||
if orientation.upper() == 'X':
|
||||
Hy = front*(-dz / r)
|
||||
Hz = front*(dy / r)
|
||||
Hx = np.zeros_like(Hy)
|
||||
return Hx, Hy, Hz
|
||||
|
||||
elif orientation.upper() == 'Y':
|
||||
Hx = front*(dz / r)
|
||||
Hz = front*(-dx / r)
|
||||
Hy = np.zeros_like(Hx)
|
||||
return Hx, Hy, Hz
|
||||
|
||||
elif orientation.upper() == 'Z':
|
||||
Hx = front*(-dy / r)
|
||||
Hy = front*(dx / r)
|
||||
Hz = np.zeros_like(Hx)
|
||||
return Hx, Hy, Hz
|
||||
|
||||
|
||||
def B_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
|
||||
|
||||
"""
|
||||
Computing Magnetic flux densites from Electrical Dipole in a Wholespace
|
||||
TODO:
|
||||
Add description of parameters
|
||||
"""
|
||||
|
||||
Hx, Hy, Hz = H_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=current, length=length, orientation=orientation, kappa=kappa, epsr=epsr)
|
||||
Bx = mu*Hx
|
||||
By = mu*Hy
|
||||
Bz = mu*Hz
|
||||
return Bx, By, Bz
|
||||
|
||||
|
||||
def A_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
|
||||
|
||||
"""
|
||||
Computing Electric vector potentials from Electrical Dipole in a Wholespace
|
||||
TODO:
|
||||
Add description of parameters
|
||||
"""
|
||||
mu = mu_0*(1+kappa)
|
||||
epsilon = epsilon_0*epsr
|
||||
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
|
||||
# Check
|
||||
if XYZ.shape[0] > 1 & f.shape[0] > 1:
|
||||
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
|
||||
|
||||
dx = XYZ[:,0]-srcLoc[0]
|
||||
dy = XYZ[:,1]-srcLoc[1]
|
||||
dz = XYZ[:,2]-srcLoc[2]
|
||||
|
||||
r = np.sqrt( dx**2. + dy**2. + dz**2.)
|
||||
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
|
||||
|
||||
front = current * length / (4.*np.pi*r)
|
||||
|
||||
if orientation.upper() == 'X':
|
||||
Ax = front*np.exp(-1j*k*r)
|
||||
Ay = np.zeros_like(Ax)
|
||||
Az = np.zeros_like(Ax)
|
||||
return Ax, Ay, Az
|
||||
|
||||
elif orientation.upper() == 'Y':
|
||||
Ay = front*np.exp(-1j*k*r)
|
||||
Ax = np.zeros_like(Ay)
|
||||
Az = np.zeros_like(Ay)
|
||||
return Ax, Ay, Az
|
||||
|
||||
elif orientation.upper() == 'Z':
|
||||
Az = front*np.exp(-1j*k*r)
|
||||
Ax = np.zeros_like(Ay)
|
||||
Ay = np.zeros_like(Ay)
|
||||
return Ax, Ay, Az
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import Utils, np
|
||||
from scipy.constants import mu_0, epsilon_0
|
||||
from SimPEG.EM.Utils.EMUtils import k
|
||||
@@ -40,7 +34,7 @@ def _getCasingHertzMagDipoleDeriv_r(srcloc,obsloc,freq,sigma,a,b,mu=mu_0*np.ones
|
||||
sqrtr2z2 = np.sqrt(r2 + dxyz[:,2]**2)
|
||||
k2 = k(freq,sigma[2],mu[2],eps)
|
||||
|
||||
return -HertzZ * np.sqrt(r2) / sqrtr2z2 * (1j*k2 + 1. / sqrtr2z2)
|
||||
return -HertzZ * np.sqrt(r2) / sqrtr2z2 * (1j*k2 + 1./ sqrtr2z2)
|
||||
|
||||
|
||||
def _getCasingHertzMagDipoleDeriv_z(srcloc,obsloc,freq,sigma,a,b,mu=mu_0*np.ones(3),eps=epsilon_0,moment=1.):
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import numpy as np
|
||||
from scipy.constants import mu_0, pi
|
||||
from scipy.special import erf
|
||||
|
||||
@@ -1,11 +1,3 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .TDEM import hzAnalyticDipoleT
|
||||
from .FDEM import hzAnalyticDipoleF
|
||||
from .FDEMcasing import *
|
||||
from .DC import DCAnalyticHalf, DCAnalyticSphere
|
||||
from .FDEMDipolarfields import *
|
||||
from TDEM import hzAnalyticDipoleT
|
||||
from FDEM import hzAnalyticDipoleF
|
||||
from FDEMcasing import *
|
||||
|
||||
+15
-44
@@ -1,20 +1,13 @@
|
||||
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
|
||||
|
||||
|
||||
class EMPropMap(Maps.PropMap):
|
||||
"""
|
||||
Property Map for EM Problems. The electrical conductivity (\\(\\sigma\\)) is the default inversion property, and the default value of the magnetic permeability is that of free space (\\(\\mu = 4\\pi\\times 10^{-7} \\) H/m)
|
||||
"""
|
||||
|
||||
sigma = Maps.Property("Electrical Conductivity", defaultInvProp = True, propertyLink=('rho',Maps.ReciprocalMap))
|
||||
mu = Maps.Property("Inverse Magnetic Permeability", defaultVal = mu_0, propertyLink=('mui',Maps.ReciprocalMap))
|
||||
mu = Maps.Property("Magnetic Permeability", defaultVal = mu_0, propertyLink=('mui',Maps.ReciprocalMap))
|
||||
|
||||
rho = Maps.Property("Electrical Resistivity", propertyLink=('sigma', Maps.ReciprocalMap))
|
||||
mui = Maps.Property("Inverse Magnetic Permeability", defaultVal = 1./mu_0, propertyLink=('mu', Maps.ReciprocalMap))
|
||||
@@ -26,10 +19,10 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
Problem.BaseProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
|
||||
surveyPair = Survey.BaseSurvey #: The survey to pair with.
|
||||
dataPair = Survey.Data #: The data to pair with.
|
||||
surveyPair = Survey.BaseSurvey
|
||||
dataPair = Survey.Data
|
||||
|
||||
PropMap = EMPropMap #: The property mapping
|
||||
PropMap = EMPropMap
|
||||
|
||||
Solver = SimpegSolver
|
||||
solverOpts = {}
|
||||
@@ -68,15 +61,6 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
self._Me = self.mesh.getEdgeInnerProduct()
|
||||
return self._Me
|
||||
|
||||
@property
|
||||
def MeI(self):
|
||||
"""
|
||||
Edge inner product matrix
|
||||
"""
|
||||
if getattr(self, '_MeI', None) is None:
|
||||
self._MeI = self.mesh.getEdgeInnerProduct(invMat=True)
|
||||
return self._MeI
|
||||
|
||||
@property
|
||||
def Mf(self):
|
||||
"""
|
||||
@@ -86,20 +70,6 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
self._Mf = self.mesh.getFaceInnerProduct()
|
||||
return self._Mf
|
||||
|
||||
@property
|
||||
def MfI(self):
|
||||
"""
|
||||
Face inner product matrix
|
||||
"""
|
||||
if getattr(self, '_MfI', None) is None:
|
||||
self._MfI = self.mesh.getFaceInnerProduct(invMat=True)
|
||||
return self._MfI
|
||||
|
||||
@property
|
||||
def Vol(self):
|
||||
if getattr(self, '_Vol', None) is None:
|
||||
self._Vol = Utils.sdiag(self.mesh.vol)
|
||||
return self._Vol
|
||||
|
||||
# ----- Magnetic Permeability ----- #
|
||||
@property
|
||||
@@ -157,6 +127,7 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
"""
|
||||
return self.mesh.getEdgeInnerProductDeriv(self.curModel.sigma)(u) * self.curModel.sigmaDeriv
|
||||
|
||||
|
||||
@property
|
||||
def MeSigmaI(self):
|
||||
"""
|
||||
@@ -175,7 +146,10 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
|
||||
dMeSigmaI_dI = -self.MeSigmaI**2
|
||||
dMe_dsig = self.mesh.getEdgeInnerProductDeriv(self.curModel.sigma)(u)
|
||||
return dMeSigmaI_dI * ( dMe_dsig * self.curModel.sigmaDeriv )
|
||||
dsig_dm = self.curModel.sigmaDeriv
|
||||
return dMeSigmaI_dI * ( dMe_dsig * ( dsig_dm))
|
||||
# return self.mesh.getEdgeInnerProductDeriv(self.curModel.sigma, invMat=True)(u)
|
||||
|
||||
|
||||
@property
|
||||
def MfRho(self):
|
||||
@@ -191,7 +165,8 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
"""
|
||||
Derivative of :code:`MfRho` with respect to the model.
|
||||
"""
|
||||
return self.mesh.getFaceInnerProductDeriv(self.curModel.rho)(u) * self.curModel.rhoDeriv
|
||||
return self.mesh.getFaceInnerProductDeriv(self.curModel.rho)(u) * (-Utils.sdiag(self.curModel.rho**2) * self.curModel.sigmaDeriv)
|
||||
# self.curModel.rhoDeriv
|
||||
|
||||
@property
|
||||
def MfRhoI(self):
|
||||
@@ -208,10 +183,7 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
"""
|
||||
Derivative of :code:`MfRhoI` with respect to the model.
|
||||
"""
|
||||
|
||||
dMfRhoI_dI = -self.MfRhoI**2
|
||||
dMf_drho = self.mesh.getFaceInnerProductDeriv(self.curModel.rho)(u)
|
||||
return dMfRhoI_dI * ( dMf_drho * self.curModel.rhoDeriv )
|
||||
return self.mesh.getFaceInnerProductDeriv(self.curModel.rho, invMat=True)(u) * self.curModel.rhoDeriv
|
||||
|
||||
class BaseEMSurvey(Survey.BaseSurvey):
|
||||
|
||||
@@ -220,10 +192,9 @@ class BaseEMSurvey(Survey.BaseSurvey):
|
||||
self.srcList = srcList
|
||||
Survey.BaseSurvey.__init__(self, **kwargs)
|
||||
|
||||
def eval(self, f):
|
||||
def eval(self, u):
|
||||
"""
|
||||
Project fields to receiver locations
|
||||
|
||||
:param Fields u: fields object
|
||||
:rtype: numpy.ndarray
|
||||
:return: data
|
||||
@@ -231,8 +202,8 @@ class BaseEMSurvey(Survey.BaseSurvey):
|
||||
data = Survey.Data(self)
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
data[src, rx] = rx.eval(src, self.mesh, f)
|
||||
data[src, rx] = rx.eval(src, self.mesh, u)
|
||||
return data
|
||||
|
||||
def evalDeriv(self, f):
|
||||
def evalDeriv(self, u):
|
||||
raise Exception('Use Receivers to project fields deriv.')
|
||||
|
||||
@@ -1,47 +1,40 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import Problem, Utils, np, sp, Solver as SimpegSolver
|
||||
from scipy.constants import mu_0
|
||||
from .SurveyFDEM import Survey as SurveyFDEM
|
||||
from .FieldsFDEM import FieldsFDEM, Fields3D_e, Fields3D_b, Fields3D_h, Fields3D_j
|
||||
from SurveyFDEM import Survey as SurveyFDEM
|
||||
from FieldsFDEM import Fields, Fields_e, Fields_b, Fields_h, Fields_j
|
||||
from SimPEG.EM.Base import BaseEMProblem
|
||||
from SimPEG.EM.Utils import omega
|
||||
|
||||
|
||||
class BaseFDEMProblem(BaseEMProblem):
|
||||
"""
|
||||
We start by looking at Maxwell's equations in the electric
|
||||
field \\\(\\\mathbf{e}\\\) and the magnetic flux
|
||||
density \\\(\\\mathbf{b}\\\)
|
||||
We start by looking at Maxwell's equations in the electric
|
||||
field \\\(\\\mathbf{e}\\\) and the magnetic flux
|
||||
density \\\(\\\mathbf{b}\\\)
|
||||
|
||||
.. math ::
|
||||
.. math ::
|
||||
|
||||
\mathbf{C} \mathbf{e} + i \omega \mathbf{b} = \mathbf{s_m} \\\\
|
||||
{\mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} - \mathbf{M_{\sigma}^e} \mathbf{e} = \mathbf{s_e}}
|
||||
\mathbf{C} \mathbf{e} + i \omega \mathbf{b} = \mathbf{s_m} \\\\
|
||||
{\mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} - \mathbf{M_{\sigma}^e} \mathbf{e} = \mathbf{s_e}}
|
||||
|
||||
if using the E-B formulation (:code:`Problem3D_e`
|
||||
or :code:`Problem3D_b`). Note that in this case, :math:`\mathbf{s_e}` is an integrated quantity.
|
||||
if using the E-B formulation (:code:`Problem_e`
|
||||
or :code:`Problem_b`). Note that in this case, :math:`\mathbf{s_e}` is an integrated quantity.
|
||||
|
||||
If we write Maxwell's equations in terms of
|
||||
\\\(\\\mathbf{h}\\\) and current density \\\(\\\mathbf{j}\\\)
|
||||
If we write Maxwell's equations in terms of
|
||||
\\\(\\\mathbf{h}\\\) and current density \\\(\\\mathbf{j}\\\)
|
||||
|
||||
.. math ::
|
||||
.. math ::
|
||||
|
||||
\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{j} + i \omega \mathbf{M_{\mu}^e} \mathbf{h} = \mathbf{s_m} \\\\
|
||||
\mathbf{C} \mathbf{h} - \mathbf{j} = \mathbf{s_e}
|
||||
\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{j} + i \omega \mathbf{M_{\mu}^e} \mathbf{h} = \mathbf{s_m} \\\\
|
||||
\mathbf{C} \mathbf{h} - \mathbf{j} = \mathbf{s_e}
|
||||
|
||||
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}\\\)
|
||||
if using the H-J formulation (:code:`Problem_j` or :code:`Problem_h`). Note that here, :math:`\mathbf{s_m}` is an integrated quantity.
|
||||
|
||||
The problem performs the elimination so that we are solving the system for \\\(\\\mathbf{e},\\\mathbf{b},\\\mathbf{j} \\\) or \\\(\\\mathbf{h}\\\)
|
||||
"""
|
||||
|
||||
surveyPair = SurveyFDEM
|
||||
fieldsPair = FieldsFDEM
|
||||
fieldsPair = Fields
|
||||
|
||||
def fields(self, m):
|
||||
"""
|
||||
@@ -71,7 +64,7 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
|
||||
:param numpy.array m: inversion model (nP,)
|
||||
:param numpy.array v: vector which we take sensitivity product with (nP,)
|
||||
:param SimPEG.EM.FDEM.FieldsFDEM.FieldsFDEM u: fields object
|
||||
:param SimPEG.EM.FDEM.Fields u: fields object
|
||||
:rtype numpy.array:
|
||||
:return: Jv (ndata,)
|
||||
"""
|
||||
@@ -94,7 +87,7 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
du_dm_v = Ainv * ( - dA_dm_v + dRHS_dm_v )
|
||||
|
||||
for rx in src.rxList:
|
||||
df_dmFun = getattr(f, '_{0}Deriv'.format(rx.projField), None)
|
||||
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_dm_v = df_dmFun(src, du_dm_v, v, adjoint=False)
|
||||
Jv[src, rx] = rx.evalDeriv(src, self.mesh, f, df_dm_v)
|
||||
Ainv.clean()
|
||||
@@ -106,7 +99,7 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
|
||||
:param numpy.array m: inversion model (nP,)
|
||||
:param numpy.array v: vector which we take adjoint product with (nP,)
|
||||
:param SimPEG.EM.FDEM.FieldsFDEM.FieldsFDEM u: fields object
|
||||
:param SimPEG.EM.FDEM.Fields u: fields object
|
||||
:rtype numpy.array:
|
||||
:return: Jv (ndata,)
|
||||
"""
|
||||
@@ -132,7 +125,7 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
for rx in src.rxList:
|
||||
PTv = rx.evalDeriv(src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m
|
||||
|
||||
df_duTFun = getattr(f, '_{0}Deriv'.format(rx.projField), None)
|
||||
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_duT, df_dmT = df_duTFun(src, None, PTv, adjoint=True)
|
||||
|
||||
ATinvdf_duT = ATinv * df_duT
|
||||
@@ -144,9 +137,10 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
df_dmT = df_dmT + du_dmT
|
||||
|
||||
# TODO: this should be taken care of by the reciever?
|
||||
if rx.component is 'real':
|
||||
real_or_imag = rx.projComp
|
||||
if real_or_imag is 'real':
|
||||
Jtv += np.array(df_dmT, dtype=complex).real
|
||||
elif rx.component is 'imag':
|
||||
elif real_or_imag is 'imag':
|
||||
Jtv += - np.array(df_dmT, dtype=complex).real
|
||||
else:
|
||||
raise Exception('Must be real or imag')
|
||||
@@ -160,8 +154,8 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
Evaluates the sources for a given frequency and puts them in matrix form
|
||||
|
||||
:param float freq: Frequency
|
||||
:rtype: tuple
|
||||
:return: (s_m, s_e) (nE or nF, nSrc)
|
||||
:rtype: (numpy.ndarray, numpy.ndarray)
|
||||
:return: s_m, s_e (nE or nF, nSrc)
|
||||
"""
|
||||
Srcs = self.survey.getSrcByFreq(freq)
|
||||
if self._formulation is 'EB':
|
||||
@@ -173,7 +167,6 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
|
||||
for i, src in enumerate(Srcs):
|
||||
smi, sei = src.eval(self)
|
||||
#Why are you adding?
|
||||
s_m[:,i] = s_m[:,i] + smi
|
||||
s_e[:,i] = s_e[:,i] + sei
|
||||
|
||||
@@ -184,7 +177,7 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
################################ E-B Formulation #########################################
|
||||
##########################################################################################
|
||||
|
||||
class Problem3D_e(BaseFDEMProblem):
|
||||
class Problem_e(BaseFDEMProblem):
|
||||
"""
|
||||
By eliminating the magnetic flux density using
|
||||
|
||||
@@ -201,16 +194,27 @@ class Problem3D_e(BaseFDEMProblem):
|
||||
|
||||
which we solve for :math:`\mathbf{e}`.
|
||||
|
||||
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
|
||||
:param SimPEG.Mesh mesh: mesh
|
||||
"""
|
||||
|
||||
_solutionType = 'eSolution'
|
||||
_formulation = 'EB'
|
||||
fieldsPair = Fields3D_e
|
||||
fieldsPair = Fields_e
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseFDEMProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
def _GLoc(self, fieldType):
|
||||
if fieldType == 'e':
|
||||
return 'E'
|
||||
elif fieldType == 'b':
|
||||
return 'F'
|
||||
elif (fieldType == 'h') or (fieldType == 'j'):
|
||||
return 'CCV'
|
||||
else:
|
||||
raise Exception('Field type must be e, b, h, j')
|
||||
|
||||
|
||||
def getA(self, freq):
|
||||
"""
|
||||
System matrix
|
||||
@@ -276,7 +280,7 @@ class Problem3D_e(BaseFDEMProblem):
|
||||
Derivative of the right hand side with respect to the model
|
||||
|
||||
:param float freq: frequency
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
|
||||
:param SimPEG.EM.FDEM.Src src: FDEM source
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: numpy.ndarray
|
||||
@@ -290,12 +294,11 @@ class Problem3D_e(BaseFDEMProblem):
|
||||
if adjoint:
|
||||
dRHS = MfMui * (C * v)
|
||||
return s_mDeriv(dRHS) - 1j * omega(freq) * s_eDeriv(v)
|
||||
|
||||
else:
|
||||
return C.T * (MfMui * s_mDeriv(v)) -1j * omega(freq) * s_eDeriv(v)
|
||||
|
||||
|
||||
class Problem3D_b(BaseFDEMProblem):
|
||||
class Problem_b(BaseFDEMProblem):
|
||||
"""
|
||||
We eliminate :math:`\mathbf{e}` using
|
||||
|
||||
@@ -312,16 +315,26 @@ class Problem3D_b(BaseFDEMProblem):
|
||||
.. note ::
|
||||
The inverse problem will not work with full anisotropy
|
||||
|
||||
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
|
||||
:param SimPEG.Mesh mesh: mesh
|
||||
"""
|
||||
|
||||
_solutionType = 'bSolution'
|
||||
_formulation = 'EB'
|
||||
fieldsPair = Fields3D_b
|
||||
fieldsPair = Fields_b
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseFDEMProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
def _GLoc(self, fieldType):
|
||||
if fieldType == 'e':
|
||||
return 'E'
|
||||
elif fieldType == 'b':
|
||||
return 'F'
|
||||
elif (fieldType == 'h') or (fieldType == 'j'):
|
||||
return'CCV'
|
||||
else:
|
||||
raise Exception('Field type must be e, b, h, j')
|
||||
|
||||
def getA(self, freq):
|
||||
"""
|
||||
System matrix
|
||||
@@ -407,7 +420,7 @@ class Problem3D_b(BaseFDEMProblem):
|
||||
Derivative of the right hand side with respect to the model
|
||||
|
||||
:param float freq: frequency
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
|
||||
:param SimPEG.EM.FDEM.Src src: FDEM source
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: numpy.ndarray
|
||||
@@ -443,7 +456,7 @@ class Problem3D_b(BaseFDEMProblem):
|
||||
##########################################################################################
|
||||
|
||||
|
||||
class Problem3D_j(BaseFDEMProblem):
|
||||
class Problem_j(BaseFDEMProblem):
|
||||
"""
|
||||
We eliminate \\\(\\\mathbf{h}\\\) using
|
||||
|
||||
@@ -451,7 +464,6 @@ class Problem3D_j(BaseFDEMProblem):
|
||||
|
||||
\mathbf{h} = \\frac{1}{i \omega} \mathbf{M_{\mu}^e}^{-1} \\left(-\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{j} + \mathbf{M^e} \mathbf{s_m} \\right)
|
||||
|
||||
|
||||
and solve for \\\(\\\mathbf{j}\\\) using
|
||||
|
||||
.. math ::
|
||||
@@ -461,16 +473,26 @@ class Problem3D_j(BaseFDEMProblem):
|
||||
.. note::
|
||||
This implementation does not yet work with full anisotropy!!
|
||||
|
||||
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
|
||||
:param SimPEG.Mesh mesh: mesh
|
||||
"""
|
||||
|
||||
_solutionType = 'jSolution'
|
||||
_formulation = 'HJ'
|
||||
fieldsPair = Fields3D_j
|
||||
fieldsPair = Fields_j
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseFDEMProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
def _GLoc(self, fieldType):
|
||||
if fieldType == 'h':
|
||||
return 'E'
|
||||
elif fieldType == 'j':
|
||||
return 'F'
|
||||
elif (fieldType == 'e') or (fieldType == 'b'):
|
||||
return 'CCV'
|
||||
else:
|
||||
raise Exception('Field type must be e, b, h, j')
|
||||
|
||||
def getA(self, freq):
|
||||
"""
|
||||
System matrix
|
||||
@@ -537,8 +559,8 @@ class Problem3D_j(BaseFDEMProblem):
|
||||
\mathbf{RHS} = \mathbf{C} \mathbf{M_{\mu}^e}^{-1}\mathbf{s_m} -i\omega \mathbf{s_e}
|
||||
|
||||
:param float freq: Frequency
|
||||
:rtype: numpy.ndarray
|
||||
:return: RHS (nE, nSrc)
|
||||
:rtype: numpy.ndarray (nE, nSrc)
|
||||
:return: RHS
|
||||
"""
|
||||
|
||||
s_m, s_e = self.getSourceTerm(freq)
|
||||
@@ -557,7 +579,7 @@ class Problem3D_j(BaseFDEMProblem):
|
||||
Derivative of the right hand side with respect to the model
|
||||
|
||||
:param float freq: frequency
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
|
||||
:param SimPEG.EM.FDEM.Src src: FDEM source
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: numpy.ndarray
|
||||
@@ -585,7 +607,7 @@ class Problem3D_j(BaseFDEMProblem):
|
||||
|
||||
|
||||
|
||||
class Problem3D_h(BaseFDEMProblem):
|
||||
class Problem_h(BaseFDEMProblem):
|
||||
"""
|
||||
We eliminate \\\(\\\mathbf{j}\\\) using
|
||||
|
||||
@@ -599,16 +621,27 @@ class Problem3D_h(BaseFDEMProblem):
|
||||
|
||||
\\left(\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{C} + i \omega \mathbf{M_{\mu}^e}\\right) \mathbf{h} = \mathbf{M^e} \mathbf{s_m} + \mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{s_e}
|
||||
|
||||
:param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
|
||||
:param SimPEG.Mesh mesh: mesh
|
||||
"""
|
||||
|
||||
_solutionType = 'hSolution'
|
||||
_formulation = 'HJ'
|
||||
fieldsPair = Fields3D_h
|
||||
fieldsPair = Fields_h
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseFDEMProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
def _GLoc(self, fieldType):
|
||||
if fieldType == 'h':
|
||||
return 'E'
|
||||
elif fieldType == 'j':
|
||||
return 'F'
|
||||
elif (fieldType == 'e') or (fieldType == 'b'):
|
||||
return 'CCV'
|
||||
else:
|
||||
raise Exception('Field type must be e, b, h, j')
|
||||
|
||||
|
||||
def getA(self, freq):
|
||||
"""
|
||||
System matrix
|
||||
@@ -616,11 +649,9 @@ class Problem3D_h(BaseFDEMProblem):
|
||||
.. math::
|
||||
\mathbf{A} = \mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{C} + i \omega \mathbf{M_{\mu}^e}
|
||||
|
||||
|
||||
:param float freq: Frequency
|
||||
:rtype: scipy.sparse.csr_matrix
|
||||
:return: A
|
||||
|
||||
"""
|
||||
|
||||
MeMu = self.MeMu
|
||||
@@ -663,7 +694,6 @@ class Problem3D_h(BaseFDEMProblem):
|
||||
:param float freq: Frequency
|
||||
:rtype: numpy.ndarray
|
||||
:return: RHS (nE, nSrc)
|
||||
|
||||
"""
|
||||
|
||||
s_m, s_e = self.getSourceTerm(freq)
|
||||
@@ -677,7 +707,7 @@ class Problem3D_h(BaseFDEMProblem):
|
||||
Derivative of the right hand side with respect to the model
|
||||
|
||||
:param float freq: frequency
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
|
||||
:param SimPEG.EM.FDEM.Src src: FDEM source
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: numpy.ndarray
|
||||
@@ -1,10 +1,3 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from builtins import int
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import numpy as np
|
||||
import scipy.sparse as sp
|
||||
import SimPEG
|
||||
@@ -13,11 +6,11 @@ from SimPEG.EM.Utils import omega
|
||||
from SimPEG.Utils import Zero, Identity, sdiag
|
||||
|
||||
|
||||
class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
class Fields(SimPEG.Problem.Fields):
|
||||
"""
|
||||
|
||||
Fancy Field Storage for a FDEM survey. Only one field type is stored for
|
||||
each problem, the rest are computed. The fields object acts like an array and is indexed by
|
||||
each problem, the rest are computed. The fields obejct acts like an array and is indexed by
|
||||
|
||||
.. code-block:: python
|
||||
|
||||
@@ -49,7 +42,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
:return: total electric field
|
||||
"""
|
||||
if getattr(self, '_ePrimary', None) is None or getattr(self, '_eSecondary', None) is None:
|
||||
raise NotImplementedError ('Getting e from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
raise NotImplementedError ('Getting e from %s is not implemented' %self.knownFields.keys()[0])
|
||||
|
||||
return self._ePrimary(solution,srcList) + self._eSecondary(solution,srcList)
|
||||
|
||||
@@ -63,7 +56,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
:return: total magnetic flux density
|
||||
"""
|
||||
if getattr(self, '_bPrimary', None) is None or getattr(self, '_bSecondary', None) is None:
|
||||
raise NotImplementedError ('Getting b from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
raise NotImplementedError ('Getting b from %s is not implemented' %self.knownFields.keys()[0])
|
||||
|
||||
return self._bPrimary(solution, srcList) + self._bSecondary(solution, srcList)
|
||||
|
||||
@@ -77,7 +70,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
:return: total magnetic field
|
||||
"""
|
||||
if getattr(self, '_hPrimary', None) is None or getattr(self, '_hSecondary', None) is None:
|
||||
raise NotImplementedError ('Getting h from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
raise NotImplementedError ('Getting h from %s is not implemented' %self.knownFields.keys()[0])
|
||||
|
||||
return self._hPrimary(solution, srcList) + self._hSecondary(solution, srcList)
|
||||
|
||||
@@ -91,7 +84,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
:return: total current density
|
||||
"""
|
||||
if getattr(self, '_jPrimary', None) is None or getattr(self, '_jSecondary', None) is None:
|
||||
raise NotImplementedError ('Getting j from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
raise NotImplementedError ('Getting j from %s is not implemented' %self.knownFields.keys()[0])
|
||||
|
||||
return self._jPrimary(solution, srcList) + self._jSecondary(solution, srcList)
|
||||
|
||||
@@ -99,7 +92,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
"""
|
||||
Total derivative of e with respect to the inversion model. Returns :math:`d\mathbf{e}/d\mathbf{m}` for forward and (:math:`d\mathbf{e}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
|
||||
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
|
||||
:param Src src: sorce
|
||||
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
|
||||
:param numpy.ndarray v: vector to take sensitivity product with
|
||||
:param bool adjoint: adjoint?
|
||||
@@ -107,7 +100,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
:return: derivative times a vector (or tuple for adjoint)
|
||||
"""
|
||||
if getattr(self, '_eDeriv_u', None) is None or getattr(self, '_eDeriv_m', None) is None:
|
||||
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %self.knownFields.keys()[0])
|
||||
|
||||
if adjoint:
|
||||
return self._eDeriv_u(src, v, adjoint), self._eDeriv_m(src, v, adjoint)
|
||||
@@ -117,7 +110,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
"""
|
||||
Total derivative of b with respect to the inversion model. Returns :math:`d\mathbf{b}/d\mathbf{m}` for forward and (:math:`d\mathbf{b}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
|
||||
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
|
||||
:param Src src: sorce
|
||||
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
|
||||
:param numpy.ndarray v: vector to take sensitivity product with
|
||||
:param bool adjoint: adjoint?
|
||||
@@ -125,7 +118,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
:return: derivative times a vector (or tuple for adjoint)
|
||||
"""
|
||||
if getattr(self, '_bDeriv_u', None) is None or getattr(self, '_bDeriv_m', None) is None:
|
||||
raise NotImplementedError ('Getting bDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
raise NotImplementedError ('Getting bDerivs from %s is not implemented' %self.knownFields.keys()[0])
|
||||
|
||||
if adjoint:
|
||||
return self._bDeriv_u(src, v, adjoint), self._bDeriv_m(src, v, adjoint)
|
||||
@@ -135,7 +128,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
"""
|
||||
Total derivative of h with respect to the inversion model. Returns :math:`d\mathbf{h}/d\mathbf{m}` for forward and (:math:`d\mathbf{h}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
|
||||
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
|
||||
:param Src src: sorce
|
||||
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
|
||||
:param numpy.ndarray v: vector to take sensitivity product with
|
||||
:param bool adjoint: adjoint?
|
||||
@@ -143,7 +136,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
:return: derivative times a vector (or tuple for adjoint)
|
||||
"""
|
||||
if getattr(self, '_hDeriv_u', None) is None or getattr(self, '_hDeriv_m', None) is None:
|
||||
raise NotImplementedError ('Getting hDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
raise NotImplementedError ('Getting hDerivs from %s is not implemented' %self.knownFields.keys()[0])
|
||||
|
||||
if adjoint:
|
||||
return self._hDeriv_u(src, v, adjoint), self._hDeriv_m(src, v, adjoint)
|
||||
@@ -153,7 +146,7 @@ class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
"""
|
||||
Total derivative of j with respect to the inversion model. Returns :math:`d\mathbf{j}/d\mathbf{m}` for forward and (:math:`d\mathbf{j}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
|
||||
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
|
||||
:param Src src: sorce
|
||||
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
|
||||
:param numpy.ndarray v: vector to take sensitivity product with
|
||||
:param bool adjoint: adjoint?
|
||||
@@ -161,18 +154,18 @@ class FieldsFDEM(SimPEG.Problem.Fields):
|
||||
:return: derivative times a vector (or tuple for adjoint)
|
||||
"""
|
||||
if getattr(self, '_jDeriv_u', None) is None or getattr(self, '_jDeriv_m', None) is None:
|
||||
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %self.knownFields.keys()[0])
|
||||
|
||||
if adjoint:
|
||||
return self._jDeriv_u(src, v, adjoint), self._jDeriv_m(src, v, adjoint)
|
||||
return np.array(self._jDeriv_u(src, du_dm_v, adjoint) + self._jDeriv_m(src, v, adjoint), dtype = complex)
|
||||
|
||||
class Fields3D_e(FieldsFDEM):
|
||||
class Fields_e(Fields):
|
||||
"""
|
||||
Fields object for Problem3D_e.
|
||||
Fields object for Problem_e.
|
||||
|
||||
:param BaseMesh mesh: mesh
|
||||
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
|
||||
:param Mesh mesh: mesh
|
||||
:param Survey survey: survey
|
||||
"""
|
||||
|
||||
knownFields = {'eSolution':'E'}
|
||||
@@ -187,6 +180,9 @@ class Fields3D_e(FieldsFDEM):
|
||||
'h' : ['eSolution','CCV','_h'],
|
||||
}
|
||||
|
||||
def __init__(self, mesh, survey, **kwargs):
|
||||
Fields.__init__(self,mesh,survey,**kwargs)
|
||||
|
||||
def startup(self):
|
||||
self.prob = self.survey.prob
|
||||
self._edgeCurl = self.survey.prob.mesh.edgeCurl
|
||||
@@ -197,16 +193,6 @@ class Fields3D_e(FieldsFDEM):
|
||||
self._MeSigmaDeriv = self.survey.prob.MeSigmaDeriv
|
||||
self._MfMui = self.survey.prob.MfMui
|
||||
|
||||
def _GLoc(self, fieldType):
|
||||
if fieldType == 'e':
|
||||
return 'E'
|
||||
elif fieldType == 'b':
|
||||
return 'F'
|
||||
elif (fieldType == 'h') or (fieldType == 'j'):
|
||||
return 'CCV'
|
||||
else:
|
||||
raise Exception('Field type must be e, b, h, j')
|
||||
|
||||
|
||||
def _ePrimary(self, eSolution, srcList):
|
||||
"""
|
||||
@@ -292,7 +278,7 @@ class Fields3D_e(FieldsFDEM):
|
||||
C = self._edgeCurl
|
||||
b = (C * eSolution)
|
||||
for i, src in enumerate(srcList):
|
||||
b[:,i] *= -1./(1j*omega(src.freq))
|
||||
b[:,i] *= - 1./(1j*omega(src.freq))
|
||||
s_m, _ = src.eval(self.prob)
|
||||
b[:,i] = b[:,i]+ 1./(1j*omega(src.freq)) * s_m
|
||||
return b
|
||||
@@ -352,7 +338,7 @@ class Fields3D_e(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: product of the derivative of the current density with respect to the field we solved for with a vector
|
||||
"""
|
||||
n = int(self._aveE2CCV.shape[0] // self._nC) # number of components (instead of checking if cyl or not)
|
||||
n = int(self._aveE2CCV.shape[0] / self._nC) # number of components (instead of checking if cyl or not)
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
|
||||
if adjoint:
|
||||
@@ -389,8 +375,8 @@ class Fields3D_e(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: magnetic field
|
||||
"""
|
||||
n = int(self._aveF2CCV.shape[0] // self._nC) # Number of Components
|
||||
VI = sdiag(np.kron(np.ones(n), 1. // self.prob.mesh.vol))
|
||||
n = int(self._aveF2CCV.shape[0] / self._nC) # Number of Components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
|
||||
return VI * (self._aveF2CCV * (self._MfMui * self._b(eSolution, srcList)))
|
||||
|
||||
@@ -404,7 +390,7 @@ class Fields3D_e(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: product of the derivative of the magnetic field with respect to the field we solved for with a vector
|
||||
"""
|
||||
n = int(self._aveF2CCV.shape[0] // self._nC) # Number of Components
|
||||
n = int(self._aveF2CCV.shape[0] / self._nC) # Number of Components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
if adjoint:
|
||||
v = self._MfMui.T * (self._aveF2CCV.T * (VI.T * du_dm_v))
|
||||
@@ -421,7 +407,7 @@ class Fields3D_e(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: product of the magnetic field derivative with respect to the inversion model with a vector
|
||||
"""
|
||||
n = int(self._aveF2CCV.shape[0] // self._nC) # Number of Components
|
||||
n = int(self._aveF2CCV.shape[0] / self._nC) # Number of Components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
if adjoint:
|
||||
v = self._MfMui.T * (self._aveF2CCV.T * (VI.T * v))
|
||||
@@ -430,12 +416,12 @@ class Fields3D_e(FieldsFDEM):
|
||||
|
||||
|
||||
|
||||
class Fields3D_b(FieldsFDEM):
|
||||
class Fields_b(Fields):
|
||||
"""
|
||||
Fields object for Problem3D_b.
|
||||
Fields object for Problem_b.
|
||||
|
||||
:param BaseMesh mesh: mesh
|
||||
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
|
||||
:param Mesh mesh: mesh
|
||||
:param Survey survey: survey
|
||||
"""
|
||||
|
||||
knownFields = {'bSolution':'F'}
|
||||
@@ -450,6 +436,9 @@ class Fields3D_b(FieldsFDEM):
|
||||
'h' : ['bSolution','CCV','_h'],
|
||||
}
|
||||
|
||||
def __init__(self,mesh,survey,**kwargs):
|
||||
Fields.__init__(self,mesh,survey,**kwargs)
|
||||
|
||||
def startup(self):
|
||||
self.prob = self.survey.prob
|
||||
self._edgeCurl = self.survey.prob.mesh.edgeCurl
|
||||
@@ -466,17 +455,6 @@ class Fields3D_b(FieldsFDEM):
|
||||
self._nC = self.survey.prob.mesh.nC
|
||||
|
||||
|
||||
|
||||
def _GLoc(self,fieldType):
|
||||
if fieldType == 'e':
|
||||
return 'E'
|
||||
elif fieldType == 'b':
|
||||
return 'F'
|
||||
elif (fieldType == 'h') or (fieldType == 'j'):
|
||||
return'CCV'
|
||||
else:
|
||||
raise Exception('Field type must be e, b, h, j')
|
||||
|
||||
def _bPrimary(self, bSolution, srcList):
|
||||
"""
|
||||
Primary magnetic flux density from source
|
||||
@@ -614,7 +592,7 @@ class Fields3D_b(FieldsFDEM):
|
||||
:return: primary current density
|
||||
"""
|
||||
|
||||
n = int(self._aveE2CCV.shape[0] // self._nC) # number of components
|
||||
n = int(self._aveE2CCV.shape[0] / self._nC) # number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
|
||||
return VI * (self._aveE2CCV * ( self._MeSigma * self._e(bSolution,srcList ) ) )
|
||||
@@ -631,7 +609,7 @@ class Fields3D_b(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: product of the derivative of the current density with respect to the field we solved for with a vector
|
||||
"""
|
||||
n = int(self._aveE2CCV.shape[0] // self._nC) # number of components
|
||||
n = int(self._aveE2CCV.shape[0] / self._nC) # number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
if adjoint:
|
||||
return self._MfMui.T * ( self._edgeCurl * ( self._aveE2CCV.T * (VI.T * du_dm_v) ) )
|
||||
@@ -659,7 +637,7 @@ class Fields3D_b(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: magnetic field
|
||||
"""
|
||||
n = int(self._aveF2CCV.shape[0] // self._nC) #number of components
|
||||
n = int(self._aveF2CCV.shape[0] / self._nC) #number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
return VI * (self._aveF2CCV * (self._MfMui * self._b(bSolution, srcList)))
|
||||
|
||||
@@ -674,7 +652,7 @@ class Fields3D_b(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: product of the derivative of the magnetic field with respect to the field we solved for with a vector
|
||||
"""
|
||||
n = int(self._aveF2CCV.shape[0] // self._nC) #number of components
|
||||
n = int(self._aveF2CCV.shape[0] / self._nC) #number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
|
||||
if adjoint:
|
||||
@@ -694,12 +672,12 @@ class Fields3D_b(FieldsFDEM):
|
||||
return Zero()
|
||||
|
||||
|
||||
class Fields3D_j(FieldsFDEM):
|
||||
class Fields_j(Fields):
|
||||
"""
|
||||
Fields object for Problem3D_j.
|
||||
Fields object for Problem_j.
|
||||
|
||||
:param BaseMesh mesh: mesh
|
||||
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
|
||||
:param Mesh mesh: mesh
|
||||
:param Survey survey: survey
|
||||
"""
|
||||
|
||||
knownFields = {'jSolution':'F'}
|
||||
@@ -714,6 +692,9 @@ class Fields3D_j(FieldsFDEM):
|
||||
'b' : ['jSolution','CCV','_b'],
|
||||
}
|
||||
|
||||
def __init__(self,mesh,survey,**kwargs):
|
||||
Fields.__init__(self,mesh,survey,**kwargs)
|
||||
|
||||
def startup(self):
|
||||
self.prob = self.survey.prob
|
||||
self._edgeCurl = self.survey.prob.mesh.edgeCurl
|
||||
@@ -727,16 +708,6 @@ class Fields3D_j(FieldsFDEM):
|
||||
self._aveE2CCV = self.survey.prob.mesh.aveE2CCV
|
||||
self._nC = self.survey.prob.mesh.nC
|
||||
|
||||
def _GLoc(self,fieldType):
|
||||
if fieldType == 'h':
|
||||
return 'E'
|
||||
elif fieldType == 'j':
|
||||
return 'F'
|
||||
elif (fieldType == 'e') or (fieldType == 'b'):
|
||||
return 'CCV'
|
||||
else:
|
||||
raise Exception('Field type must be e, b, h, j')
|
||||
|
||||
def _jPrimary(self, jSolution, srcList):
|
||||
"""
|
||||
Primary current density from source
|
||||
@@ -897,7 +868,7 @@ class Fields3D_j(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: electric field
|
||||
"""
|
||||
n = int(self._aveF2CCV.shape[0] // self._nC) # number of components
|
||||
n = int(self._aveF2CCV.shape[0] / self._nC) # number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
return VI * (self._aveF2CCV * (self._MfRho * self._j(jSolution, srcList)))
|
||||
|
||||
@@ -911,7 +882,7 @@ class Fields3D_j(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: product of the derivative of the electric field with respect to the field we solved for with a vector
|
||||
"""
|
||||
n = int(self._aveF2CCV.shape[0] // self._nC) # number of components
|
||||
n = int(self._aveF2CCV.shape[0] / self._nC) # number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
if adjoint:
|
||||
return self._MfRho.T * ( self._aveF2CCV.T * ( VI.T * du_dm_v ) )
|
||||
@@ -928,7 +899,7 @@ class Fields3D_j(FieldsFDEM):
|
||||
:return: product of the derivative of the electric field with respect to the model with a vector
|
||||
"""
|
||||
jSolution = Utils.mkvc(self[src,'jSolution'])
|
||||
n = int(self._aveF2CCV.shape[0] // self._nC) # number of components
|
||||
n = int(self._aveF2CCV.shape[0] / self._nC) # number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
if adjoint:
|
||||
return self._MfRhoDeriv(jSolution).T * ( self._aveF2CCV.T * ( VI.T * v ) )
|
||||
@@ -943,7 +914,7 @@ class Fields3D_j(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: secondary magnetic flux density
|
||||
"""
|
||||
n = int(self._aveE2CCV.shape[0] // self._nC) # number of components
|
||||
n = int(self._aveE2CCV.shape[0] / self._nC) # number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
|
||||
return VI * (self._aveE2CCV * ( self._MeMu * self._h(jSolution,srcList)) )
|
||||
@@ -958,7 +929,7 @@ class Fields3D_j(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: product of the derivative of the magnetic flux density with respect to the field we solved for with a vector
|
||||
"""
|
||||
n = int(self._aveF2CCV.shape[0] // self._nC) # number of components
|
||||
n = int(self._aveF2CCV.shape[0] / self._nC) # number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
|
||||
if adjoint:
|
||||
@@ -976,7 +947,7 @@ class Fields3D_j(FieldsFDEM):
|
||||
:return: product of the derivative of the magnetic flux density with respect to the model with a vector
|
||||
"""
|
||||
jSolution = self[src,'jSolution']
|
||||
n = int(self._aveE2CCV.shape[0] // self._nC) # number of components
|
||||
n = int(self._aveE2CCV.shape[0] / self._nC) # number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
s_mDeriv,_ = src.evalDeriv(self.prob, adjoint = adjoint)
|
||||
|
||||
@@ -986,12 +957,12 @@ class Fields3D_j(FieldsFDEM):
|
||||
return 1./(1j * omega(src.freq)) * VI * (self._aveE2CCV * ( s_mDeriv(v) - self._edgeCurl.T * ( self._MfRhoDeriv(jSolution) * v ) ) )
|
||||
|
||||
|
||||
class Fields3D_h(FieldsFDEM):
|
||||
class Fields_h(Fields):
|
||||
"""
|
||||
Fields object for Problem3D_h.
|
||||
Fields object for Problem_h.
|
||||
|
||||
:param BaseMesh mesh: mesh
|
||||
:param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
|
||||
:param Mesh mesh: mesh
|
||||
:param Survey survey: survey
|
||||
"""
|
||||
|
||||
knownFields = {'hSolution':'E'}
|
||||
@@ -1006,6 +977,9 @@ class Fields3D_h(FieldsFDEM):
|
||||
'b' : ['hSolution','CCV','_b'],
|
||||
}
|
||||
|
||||
def __init__(self,mesh,survey,**kwargs):
|
||||
Fields.__init__(self,mesh,survey,**kwargs)
|
||||
|
||||
def startup(self):
|
||||
self.prob = self.survey.prob
|
||||
self._edgeCurl = self.survey.prob.mesh.edgeCurl
|
||||
@@ -1019,16 +993,6 @@ class Fields3D_h(FieldsFDEM):
|
||||
self._aveE2CCV = self.survey.prob.mesh.aveE2CCV
|
||||
self._nC = self.survey.prob.mesh.nC
|
||||
|
||||
def _GLoc(self,fieldType):
|
||||
if fieldType == 'h':
|
||||
return 'E'
|
||||
elif fieldType == 'j':
|
||||
return 'F'
|
||||
elif (fieldType == 'e') or (fieldType == 'b'):
|
||||
return 'CCV'
|
||||
else:
|
||||
raise Exception('Field type must be e, b, h, j')
|
||||
|
||||
def _hPrimary(self, hSolution, srcList):
|
||||
"""
|
||||
Primary magnetic field from source
|
||||
@@ -1158,7 +1122,7 @@ class Fields3D_h(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: electric field
|
||||
"""
|
||||
n = int(self._aveF2CCV.shape[0] // self._nC) #number of components
|
||||
n = int(self._aveF2CCV.shape[0] / self._nC) #number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
return VI * (self._aveF2CCV * (self._MfRho * self._j(hSolution, srcList)))
|
||||
|
||||
@@ -1172,7 +1136,7 @@ class Fields3D_h(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: product of the derivative of the electric field with respect to the field we solved for with a vector
|
||||
"""
|
||||
n = int(self._aveF2CCV.shape[0] // self._nC) #number of components
|
||||
n = int(self._aveF2CCV.shape[0] / self._nC) #number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
if adjoint:
|
||||
return self._edgeCurl.T * ( self._MfRho.T * ( self._aveF2CCV.T * ( VI.T * du_dm_v ) ) )
|
||||
@@ -1189,7 +1153,7 @@ class Fields3D_h(FieldsFDEM):
|
||||
:return: product of the electric field derivative with respect to the inversion model with a vector
|
||||
"""
|
||||
hSolution = Utils.mkvc(self[src,'hSolution'])
|
||||
n = int(self._aveF2CCV.shape[0] // self._nC) #number of components
|
||||
n = int(self._aveF2CCV.shape[0] / self._nC) #number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
if adjoint:
|
||||
return ( self._MfRhoDeriv(self._edgeCurl * hSolution).T * ( self._aveF2CCV.T * (VI.T * v) ) )
|
||||
@@ -1205,7 +1169,7 @@ class Fields3D_h(FieldsFDEM):
|
||||
:return: magnetic flux density
|
||||
"""
|
||||
h = self._h(hSolution, srcList)
|
||||
n = int(self._aveE2CCV.shape[0] // self._nC) #number of components
|
||||
n = int(self._aveE2CCV.shape[0] / self._nC) #number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
|
||||
return VI * (self._aveE2CCV * (self._MeMu * h))
|
||||
@@ -1220,7 +1184,7 @@ class Fields3D_h(FieldsFDEM):
|
||||
:rtype: numpy.ndarray
|
||||
:return: product of the derivative of the magnetic flux density with respect to the field we solved for with a vector
|
||||
"""
|
||||
n = int(self._aveE2CCV.shape[0] // self._nC) #number of components
|
||||
n = int(self._aveE2CCV.shape[0] / self._nC) #number of components
|
||||
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
|
||||
if adjoint:
|
||||
return self._MeMu.T * (self._aveE2CCV.T * ( VI.T * du_dm_v ))
|
||||
|
||||
@@ -1,133 +0,0 @@
|
||||
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
|
||||
|
||||
class BaseRx(SimPEG.Survey.BaseRx):
|
||||
"""
|
||||
Frequency domain receiver base class
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string orientation: receiver orientation 'x', 'y' or 'z'
|
||||
:param string component: real or imaginary component 'real' or 'imag'
|
||||
"""
|
||||
|
||||
def __init__(self, locs, orientation=None, component=None):
|
||||
assert(orientation in ['x','y','z']), "Orientation %s not known. Orientation must be in 'x', 'y', 'z'. Arbitrary orientations have not yet been implemented."%orientation
|
||||
assert(component in ['real', 'imag']), "'component' must be 'real' or 'imag', not %s"%component
|
||||
|
||||
self.projComp = orientation
|
||||
self.component = component
|
||||
|
||||
SimPEG.Survey.BaseRx.__init__(self, locs, rxType=None) #TODO: remove rxType from baseRx
|
||||
|
||||
def projGLoc(self, u):
|
||||
"""Grid Location projection (e.g. Ex Fy ...)"""
|
||||
return u._GLoc(self.projField) + self.projComp
|
||||
|
||||
def eval(self, src, mesh, f):
|
||||
"""
|
||||
Project fields to receivers to get data.
|
||||
|
||||
: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
|
||||
"""
|
||||
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
f_part_complex = f[src, self.projField]
|
||||
f_part = getattr(f_part_complex, self.component) # get the real or imag component
|
||||
|
||||
return P*f_part
|
||||
|
||||
def evalDeriv(self, src, mesh, f, v, adjoint=False):
|
||||
"""
|
||||
Derivative of projected fields with respect to the inversion model times a vector.
|
||||
|
||||
:param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
|
||||
:param BaseMesh mesh: mesh used
|
||||
:param Fields f: fields object
|
||||
:param numpy.ndarray v: vector to multiply
|
||||
:rtype: numpy.ndarray
|
||||
:return: fields projected to recievers
|
||||
"""
|
||||
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
|
||||
if not adjoint:
|
||||
Pv_complex = P * v
|
||||
Pv = getattr(Pv_complex, self.component)
|
||||
elif adjoint:
|
||||
Pv_real = P.T * v
|
||||
|
||||
if self.component == 'imag':
|
||||
Pv = 1j*Pv_real
|
||||
elif self.component == 'real':
|
||||
Pv = Pv_real.astype(complex)
|
||||
else:
|
||||
raise NotImplementedError('must be real or imag')
|
||||
|
||||
return Pv
|
||||
|
||||
|
||||
class Point_e(BaseRx):
|
||||
"""
|
||||
Electric field FDEM receiver
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string orientation: receiver orientation 'x', 'y' or 'z'
|
||||
:param string component: real or imaginary component 'real' or 'imag'
|
||||
"""
|
||||
|
||||
def __init__(self, locs, orientation=None, component=None):
|
||||
self.projField = 'e'
|
||||
super(Point_e, self).__init__(locs, orientation, component)
|
||||
|
||||
|
||||
class Point_b(BaseRx):
|
||||
"""
|
||||
Magnetic flux FDEM receiver
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string orientation: receiver orientation 'x', 'y' or 'z'
|
||||
:param string component: real or imaginary component 'real' or 'imag'
|
||||
"""
|
||||
|
||||
def __init__(self, locs, orientation=None, component=None):
|
||||
self.projField = 'b'
|
||||
super(Point_b, self).__init__(locs, orientation, component)
|
||||
|
||||
|
||||
class Point_h(BaseRx):
|
||||
"""
|
||||
Magnetic field FDEM receiver
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string orientation: receiver orientation 'x', 'y' or 'z'
|
||||
:param string component: real or imaginary component 'real' or 'imag'
|
||||
"""
|
||||
|
||||
def __init__(self, locs, orientation=None, component=None):
|
||||
self.projField = 'h'
|
||||
super(Point_h, self).__init__(locs, orientation, component)
|
||||
|
||||
|
||||
class Point_j(BaseRx):
|
||||
"""
|
||||
Current density FDEM receiver
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string orientation: receiver orientation 'x', 'y' or 'z'
|
||||
:param string component: real or imaginary component 'real' or 'imag'
|
||||
"""
|
||||
|
||||
def __init__(self, locs, orientation=None, component=None):
|
||||
self.projField = 'j'
|
||||
super(Point_j, self).__init__(locs, orientation, component)
|
||||
+266
-57
@@ -1,9 +1,3 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import Survey, Problem, Utils, np, sp
|
||||
from scipy.constants import mu_0
|
||||
from SimPEG.EM.Utils import *
|
||||
@@ -16,21 +10,18 @@ class BaseSrc(Survey.BaseSrc):
|
||||
|
||||
freq = None
|
||||
integrate = False
|
||||
_ePrimary = None
|
||||
_bPrimary = None
|
||||
_hPrimary = None
|
||||
_jPrimary = None
|
||||
|
||||
def __init__(self, rxList, **kwargs):
|
||||
Survey.BaseSrc.__init__(self, rxList, **kwargs)
|
||||
|
||||
def eval(self, prob):
|
||||
"""
|
||||
Evaluate the source terms.
|
||||
- :math:`s_m` : magnetic source term
|
||||
- :math:`s_e` : electric source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:rtype: tuple
|
||||
:param Problem prob: FDEM Problem
|
||||
:rtype: (numpy.ndarray, numpy.ndarray)
|
||||
:return: tuple with magnetic source term and electric source term
|
||||
"""
|
||||
s_m = self.s_m(prob)
|
||||
@@ -43,10 +34,10 @@ class BaseSrc(Survey.BaseSrc):
|
||||
- :code:`s_mDeriv` : derivative of the magnetic source term
|
||||
- :code:`s_eDeriv` : derivative of the electric source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param Problem prob: FDEM Problem
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: tuple
|
||||
:rtype: (numpy.ndarray, numpy.ndarray)
|
||||
:return: tuple with magnetic source term and electric source term derivatives times a vector
|
||||
"""
|
||||
if v is not None:
|
||||
@@ -58,55 +49,47 @@ class BaseSrc(Survey.BaseSrc):
|
||||
"""
|
||||
Primary magnetic flux density
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param Problem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic flux density
|
||||
"""
|
||||
if self._bPrimary is None:
|
||||
return Zero()
|
||||
return self._bPrimary
|
||||
return Zero()
|
||||
|
||||
def hPrimary(self, prob):
|
||||
"""
|
||||
Primary magnetic field
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param Problem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
if self._hPrimary is None:
|
||||
return Zero()
|
||||
return self._hPrimary
|
||||
return Zero()
|
||||
|
||||
def ePrimary(self, prob):
|
||||
"""
|
||||
Primary electric field
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param Problem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary electric field
|
||||
"""
|
||||
if self._ePrimary is None:
|
||||
return Zero()
|
||||
return self._ePrimary
|
||||
return Zero()
|
||||
|
||||
def jPrimary(self, prob):
|
||||
"""
|
||||
Primary current density
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param Problem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary current density
|
||||
"""
|
||||
if self._jPrimary is None:
|
||||
return Zero()
|
||||
return self._jPrimary
|
||||
return Zero()
|
||||
|
||||
def s_m(self, prob):
|
||||
"""
|
||||
Magnetic source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param Problem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: magnetic source term on mesh
|
||||
"""
|
||||
@@ -116,17 +99,17 @@ class BaseSrc(Survey.BaseSrc):
|
||||
"""
|
||||
Electric source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param Problem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: electric source term on mesh
|
||||
"""
|
||||
return Zero()
|
||||
|
||||
def s_mDeriv(self, prob, v, adjoint = False):
|
||||
def s_mDeriv(self, prob, v, adjoint=False):
|
||||
"""
|
||||
Derivative of magnetic source term with respect to the inversion model
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param Problem prob: FDEM Problem
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: numpy.ndarray
|
||||
@@ -135,11 +118,11 @@ class BaseSrc(Survey.BaseSrc):
|
||||
|
||||
return Zero()
|
||||
|
||||
def s_eDeriv(self, prob, v, adjoint = False):
|
||||
def s_eDeriv(self, prob, v, adjoint=False):
|
||||
"""
|
||||
Derivative of electric source term with respect to the inversion model
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param Problem prob: FDEM Problem
|
||||
:param numpy.ndarray v: vector to take product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: numpy.ndarray
|
||||
@@ -158,17 +141,17 @@ class RawVec_e(BaseSrc):
|
||||
:param bool integrate: Integrate the source term (multiply by Me) [False]
|
||||
"""
|
||||
|
||||
def __init__(self, rxList, freq, s_e, **kwargs):
|
||||
def __init__(self, rxList, freq, s_e):
|
||||
self._s_e = np.array(s_e, dtype=complex)
|
||||
self.freq = float(freq)
|
||||
|
||||
BaseSrc.__init__(self, rxList, **kwargs)
|
||||
BaseSrc.__init__(self, rxList)
|
||||
|
||||
def s_e(self, prob):
|
||||
"""
|
||||
Electric source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param Problem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: electric source term on mesh
|
||||
"""
|
||||
@@ -187,17 +170,17 @@ class RawVec_m(BaseSrc):
|
||||
:param bool integrate: Integrate the source term (multiply by Me) [False]
|
||||
"""
|
||||
|
||||
def __init__(self, rxList, freq, s_m, **kwargs): #ePrimary=Zero(), bPrimary=Zero(), hPrimary=Zero(), jPrimary=Zero()):
|
||||
def __init__(self, rxList, freq, s_m, integrate=True): #ePrimary=Zero(), bPrimary=Zero(), hPrimary=Zero(), jPrimary=Zero()):
|
||||
self._s_m = np.array(s_m, dtype=complex)
|
||||
self.freq = float(freq)
|
||||
|
||||
BaseSrc.__init__(self, rxList, **kwargs)
|
||||
BaseSrc.__init__(self, rxList)
|
||||
|
||||
def s_m(self, prob):
|
||||
"""
|
||||
Magnetic source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param Problem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: magnetic source term on mesh
|
||||
"""
|
||||
@@ -226,7 +209,7 @@ class RawVec(BaseSrc):
|
||||
"""
|
||||
Magnetic source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param Problem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: magnetic source term on mesh
|
||||
"""
|
||||
@@ -238,7 +221,7 @@ class RawVec(BaseSrc):
|
||||
"""
|
||||
Electric source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM Problem
|
||||
:param Problem prob: FDEM Problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: electric source term on mesh
|
||||
"""
|
||||
@@ -307,7 +290,7 @@ class MagDipole(BaseSrc):
|
||||
"""
|
||||
The primary magnetic flux density from a magnetic vector potential
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:param Problem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -345,7 +328,7 @@ class MagDipole(BaseSrc):
|
||||
"""
|
||||
The primary magnetic field from a magnetic vector potential
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:param Problem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -356,7 +339,7 @@ class MagDipole(BaseSrc):
|
||||
"""
|
||||
The magnetic source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:param Problem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -370,7 +353,7 @@ class MagDipole(BaseSrc):
|
||||
"""
|
||||
The electric source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:param Problem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -422,7 +405,7 @@ class MagDipole_Bfield(BaseSrc):
|
||||
"""
|
||||
The primary magnetic flux density from the analytic solution for magnetic fields from a dipole
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:param Problem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -461,7 +444,7 @@ class MagDipole_Bfield(BaseSrc):
|
||||
"""
|
||||
The primary magnetic field from a magnetic vector potential
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:param Problem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -472,7 +455,7 @@ class MagDipole_Bfield(BaseSrc):
|
||||
"""
|
||||
The magnetic source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:param Problem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -485,7 +468,7 @@ class MagDipole_Bfield(BaseSrc):
|
||||
"""
|
||||
The electric source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:param Problem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -536,7 +519,7 @@ class CircularLoop(BaseSrc):
|
||||
"""
|
||||
The primary magnetic flux density from a magnetic vector potential
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:param Problem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -561,7 +544,7 @@ class CircularLoop(BaseSrc):
|
||||
a = MagneticLoopVectorPotential(self.loc, gridY, 'y', moment=self.radius, mu=self.mu)
|
||||
|
||||
else:
|
||||
srcfct = MagneticDipoleVectorPotential
|
||||
srcfct = MagneticLoopVectorPotential
|
||||
ax = srcfct(self.loc, gridX, 'x', self.radius, mu=self.mu)
|
||||
ay = srcfct(self.loc, gridY, 'y', self.radius, mu=self.mu)
|
||||
az = srcfct(self.loc, gridZ, 'z', self.radius, mu=self.mu)
|
||||
@@ -573,7 +556,7 @@ class CircularLoop(BaseSrc):
|
||||
"""
|
||||
The primary magnetic field from a magnetic vector potential
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:param Problem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -584,7 +567,7 @@ class CircularLoop(BaseSrc):
|
||||
"""
|
||||
The magnetic source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:param Problem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -597,7 +580,7 @@ class CircularLoop(BaseSrc):
|
||||
"""
|
||||
The electric source term
|
||||
|
||||
:param BaseFDEMProblem prob: FDEM problem
|
||||
:param Problem prob: FDEM problem
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
@@ -620,5 +603,231 @@ class CircularLoop(BaseSrc):
|
||||
return -C.T * (MMui_s * self.bPrimary(prob))
|
||||
|
||||
|
||||
class PrimSec(BaseSrc):
|
||||
"""
|
||||
Primary-Secondary source in the physical properties. A primary problem is
|
||||
first solved, and the fields from this problem are used to construct a
|
||||
source term for the secondary problem. Either a mesh and
|
||||
fields need to be provided or a prob and a survey.
|
||||
|
||||
For the EB formulation, we start the derivation from Maxwell's equations:
|
||||
|
||||
.. math::
|
||||
\\nabla \\times \\vec{E} + i \omega \\vec{B} = \\vec{s_m} \\\\
|
||||
\\nabla \\times \\mu^{-1} \\vec{B} - \sigma \\vec{E} = \\vec{s_e}
|
||||
|
||||
we consider the physical properties, fields, and fluxes to be composed of
|
||||
two parts, a primary and a secondary:
|
||||
|
||||
- :math:`\sigma = \sigma_p + \sigma_s`
|
||||
- :math:`\mu^{-1} = \mu^{-1}_p + \mu^{-1}_s`
|
||||
- :math:`\\vec{E} = \\vec{E_p} + \\vec{E_s}`
|
||||
- :math:`\\vec{B} = \\vec{B_p} + \\vec{B_s}`
|
||||
|
||||
and choose our primary such that
|
||||
|
||||
.. math::
|
||||
\\nabla \\times \\vec{E}_p + i \omega \\vec{B}_p = \\vec{s_m} \\\\
|
||||
\\nabla \\times \\mu^{-1}_p \\vec{B}_p - \sigma_p \\vec{E}_p = \\vec{s_e}_p
|
||||
|
||||
so the secondary problem is then
|
||||
|
||||
.. math::
|
||||
\\nabla \\times \\vec{E}_s + i \omega \\vec{B}_s = 0 \\\\
|
||||
\\nabla \\times \\mu^{-1} \\vec{B}_s - \sigma \\vec{E}_s = - \\nabla \\times \\mu^{-1}_s \\vec{B}_p + \sigma_s \\vec{E}_p
|
||||
|
||||
|
||||
If instead, HJ formulation is considered, then we start off with
|
||||
|
||||
.. math::
|
||||
\\nabla \\times \\rho \\vec{J} + i \omega \\mu \\vec{H} = \\vec{s_m} \\\\
|
||||
\\nabla \\times \\vec{H} - \\vec{J} = \\vec{s_e}
|
||||
|
||||
and we define the primary secondary problem in terms of
|
||||
|
||||
- :math:`\\rho = \\rho_p + \\rho_s`
|
||||
- :math:`\mu = \mu_p + \mu_s`
|
||||
- :math:`\\vec{J} = \\vec{J_p} + \\vec{J_s}`
|
||||
- :math:`\\vec{H} = \\vec{H_p} + \\vec{H_s}`
|
||||
|
||||
with the primary being defined by
|
||||
|
||||
.. math::
|
||||
\\nabla \\times \\rho_p \\vec{J}_p + i \omega \\mu_p \\vec{H}_p = \\vec{s_m} \\\\
|
||||
\\nabla \\times \\vec{H}_p - \\vec{J}_p = \\vec{s_e}
|
||||
|
||||
so the secondary problem is given by
|
||||
|
||||
.. math::
|
||||
\\nabla \\times \\rho \\vec{J}_s + i \omega \\mu \\vec{H} = - \\nabla \\times \\rho_s \\vec{J}_p - i \omega \\mu_s \\vec{H}_p \\
|
||||
\\nabla \\times \\vec{H}_p - \\vec{J}_p = 0
|
||||
|
||||
Note: if different meshes are employed for the primary and secondary
|
||||
problems, then we need to interpolate the fields from the primary mesh to
|
||||
the secondary mesh. We do this by always interpolating the field and
|
||||
computing a flux if need be in order to ensure that fluxes remain
|
||||
numerically divergence free.
|
||||
|
||||
:param list rxList: Receiver list
|
||||
:param float freq: frequency
|
||||
:param numpy.array m: primary model
|
||||
:param Problem prob: primary problem
|
||||
:param Survey survey: primary survey
|
||||
"""
|
||||
|
||||
|
||||
def __init__(self, rxList, freq, m, prob, survey):
|
||||
self.freq = float(freq)
|
||||
self.m = m
|
||||
self.prob = prob
|
||||
self.survey = survey
|
||||
self.fields = None
|
||||
|
||||
if self.survey.ispaired:
|
||||
if self.survey.prob is not self.prob:
|
||||
raise Exception('The survey object is already paired to a problem. Use survey.unpair()')
|
||||
else:
|
||||
self.prob.pair(self.survey)
|
||||
|
||||
self.mesh = self.prob.mesh
|
||||
self.prob.curModel = self.m
|
||||
|
||||
BaseSrc.__init__(self, rxList)
|
||||
|
||||
def MeSigma(self, prob):
|
||||
if getattr(self, '_MeSigma', None) is None:
|
||||
sigmaprimary = self.prob.curModel.sigma
|
||||
if self.mesh != prob.mesh:
|
||||
P = self.mesh.getInterpolationMatMesh2Mesh(prob.mesh, locType='CC')
|
||||
sigmaprimary = P * sigmaprimary
|
||||
self._MeSigma = prob.mesh.getEdgeInnerProduct(sigmaprimary)
|
||||
return self._MeSigma
|
||||
|
||||
def MfMui(self, prob):
|
||||
if getattr(self, '_MfMui', None) is None:
|
||||
muiprimary = self.prob.curModel.mui
|
||||
if self.mesh != prob.mesh and not isinstance(muiprimary,float): # if different meshes and mu is a vector --> need to interpolate
|
||||
P = self.mesh.getInterpolationMatMesh2Mesh(prob.mesh, locType='CC')
|
||||
muiprimary = P * muiprimary
|
||||
self._MfMui = prob.mesh.getFaceInnerProduct(muiprimary)
|
||||
return self._MfMui
|
||||
|
||||
def MfRho(self, prob):
|
||||
if getattr(self, '_MfRho', None) is None:
|
||||
rhoprimary = self.prob.curModel.rho
|
||||
if self.mesh != prob.mesh:
|
||||
P = self.mesh.getInterpolationMatMesh2Mesh(prob.mesh, locType='CC')
|
||||
rhoprimary = P * rhoprimary
|
||||
self._MfRho = prob.mesh.getFaceInnerProduct(rhoprimary)
|
||||
return self._MfRho
|
||||
|
||||
def MeMu(self, prob):
|
||||
if getattr(self, '_MeMu', None) is None:
|
||||
muprimary = self.prob.curModel.mu
|
||||
if self.mesh != prob.mesh and not isinstance(muiprimary,float): # if different meshes and mu is a vector --> need to interpolate
|
||||
P = self.mesh.getInterpolationMatMesh2Mesh(prob.mesh, locType='CC')
|
||||
muprimary = P * muprimary
|
||||
self._MeMu = prob.mesh.getEdgeInnerProduct(muprimary)
|
||||
return self._MeMu
|
||||
|
||||
# note if you switch from one formulation to another, but are using the same mesh, this will break
|
||||
def ePrimary(self,prob):
|
||||
if getattr(self, '_ePrimary', None) is None:
|
||||
if self.fields is None:
|
||||
self.fields = self.prob.fields(self.m)
|
||||
|
||||
ePrimary = self.fields[:,'e']
|
||||
|
||||
if self.mesh != prob.mesh:
|
||||
if self.prob._formulation == 'HJ':
|
||||
P = self.mesh.getInterpolationMatMesh2Mesh(prob.mesh, locType=prob._GLoc('e'), locTypeFrom='CCV')
|
||||
else:
|
||||
P = self.mesh.getInterpolationMatMesh2Mesh(prob.mesh, locType=prob._GLoc('e'))
|
||||
ePrimary = Utils.mkvc(P * ePrimary)
|
||||
self._ePrimary = Utils.mkvc(ePrimary)
|
||||
|
||||
return self._ePrimary
|
||||
|
||||
# note if you switch from one formulation to another, but are using the same mesh, this will break
|
||||
def bPrimary(self, prob):
|
||||
if getattr(self, '_bPrimary', None) is None:
|
||||
if self.fields is None:
|
||||
self.fields = self.prob.fields(self.m)
|
||||
|
||||
if self.mesh == prob.mesh:
|
||||
bPrimary = self.fields[:,'b']
|
||||
else:
|
||||
bPrimary = prob.mesh.edgeCurl * self.ePrimary(prob)
|
||||
|
||||
self._bPrimary = Utils.mkvc(bPrimary)
|
||||
|
||||
return self._bPrimary
|
||||
|
||||
# note if you switch from one formulation to another, but are using the same mesh, this will break
|
||||
def hPrimary(self, prob):
|
||||
if getattr(self, '_hPrimary', None) is None:
|
||||
if self.fields is None:
|
||||
self.fields = self.prob.fields(self.m)
|
||||
|
||||
hPrimary = self.fields[:,'h']
|
||||
|
||||
if self.mesh != prob.mesh:
|
||||
if self.prob._formulation == 'EB':
|
||||
P = self.mesh.getInterpolationMatMesh2Mesh(prob.mesh, locType=prob._GLoc('h'), locTypeFrom='CCV')
|
||||
else:
|
||||
P = self.mesh.getInterpolationMatMesh2Mesh(prob.mesh, locType=prob._GLoc('h'))
|
||||
print P.shape, hPrimary.shape, prob._GLoc('h')
|
||||
hPrimary = Utils.mkvc(P * hPrimary)
|
||||
self._hPrimary = Utils.mkvc(hPrimary)
|
||||
|
||||
return self._hPrimary
|
||||
|
||||
# note if you switch from one formulation to another, but are using the same mesh, this will break
|
||||
def jPrimary(self, prob):
|
||||
if getattr(self, '_jPrimary', None) is None:
|
||||
if self.fields is None:
|
||||
self.fields = self.prob.fields(self.m)
|
||||
|
||||
if self.mesh == prob.mesh:
|
||||
jPrimary = self.fields[:,'j']
|
||||
else:
|
||||
jPrimary = prob.mesh.edgeCurl * self.hPrimary(prob)
|
||||
|
||||
self._jPrimary = Utils.mkvc(jPrimary)
|
||||
|
||||
return self._jPrimary
|
||||
|
||||
def s_e(self,prob):
|
||||
if prob._formulation == 'EB':
|
||||
# - \\nabla \\times \\mu^{-1}_s \\vec{B}_p + \sigma_s \\vec{E}_p
|
||||
s_e = -prob.mesh.edgeCurl.T * ((prob.MfMui - self.MfMui(prob)) * self.bPrimary(prob)) + (prob.MeSigma - self.MeSigma(prob)) * self.ePrimary(prob)
|
||||
return Utils.mkvc(s_e)
|
||||
else:
|
||||
return Zero()
|
||||
|
||||
def s_eDeriv(self, prob, v, adjoint=False):
|
||||
if prob._formulation == 'EB':
|
||||
if adjoint is True:
|
||||
return prob.MeSigmaDeriv(self.ePrimary(prob)).T * v
|
||||
return prob.MeSigmaDeriv(self.ePrimary(prob)) * v
|
||||
else:
|
||||
return Zero()
|
||||
|
||||
def s_m(self,prob):
|
||||
if prob._formulation == 'HJ':
|
||||
# - \\nabla \\times \\rho_s \\vec{J}_p - i \omega \\mu_s \\vec{H}_p
|
||||
s_m = - prob.mesh.edgeCurl.T * (prob.MfRho - self.MfRho(prob)) * self.jPrimary(prob) - 1j * omega(self.freq) * ((prob.MeMu - self.MeMu(prob)) * self.hPrimary(prob))
|
||||
return s_m
|
||||
else:
|
||||
return Zero()
|
||||
|
||||
def s_mDeriv(self, prob, v, adjoint=False):
|
||||
if prob._formulation == 'HJ':
|
||||
if adjoint is True:
|
||||
return - prob.MfRhoDeriv(self.jPrimary(prob)).T * (prob.mesh.edgeCurl * v)
|
||||
return - prob.mesh.edgeCurl.T * (prob.MfRhoDeriv(self.jPrimary(prob)) * v)
|
||||
else:
|
||||
return Zero()
|
||||
|
||||
|
||||
|
||||
|
||||
@@ -1,18 +1,127 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import SimPEG
|
||||
from SimPEG.EM.Utils import *
|
||||
from SimPEG.EM.Base import BaseEMSurvey
|
||||
from scipy.constants import mu_0
|
||||
from SimPEG.Utils import Zero, Identity
|
||||
from . import SrcFDEM as Src
|
||||
from . import RxFDEM as Rx
|
||||
import SrcFDEM as Src
|
||||
from SimPEG import sp
|
||||
|
||||
|
||||
####################################################
|
||||
# Receivers
|
||||
####################################################
|
||||
|
||||
class Rx(SimPEG.Survey.BaseRx):
|
||||
"""
|
||||
Frequency domain receivers
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string rxType: reciever type from knownRxTypes
|
||||
"""
|
||||
|
||||
knownRxTypes = {
|
||||
'exr':['e', 'x', 'real'],
|
||||
'eyr':['e', 'y', 'real'],
|
||||
'ezr':['e', 'z', 'real'],
|
||||
'exi':['e', 'x', 'imag'],
|
||||
'eyi':['e', 'y', 'imag'],
|
||||
'ezi':['e', 'z', 'imag'],
|
||||
|
||||
'bxr':['b', 'x', 'real'],
|
||||
'byr':['b', 'y', 'real'],
|
||||
'bzr':['b', 'z', 'real'],
|
||||
'bxi':['b', 'x', 'imag'],
|
||||
'byi':['b', 'y', 'imag'],
|
||||
'bzi':['b', 'z', 'imag'],
|
||||
|
||||
'jxr':['j', 'x', 'real'],
|
||||
'jyr':['j', 'y', 'real'],
|
||||
'jzr':['j', 'z', 'real'],
|
||||
'jxi':['j', 'x', 'imag'],
|
||||
'jyi':['j', 'y', 'imag'],
|
||||
'jzi':['j', 'z', 'imag'],
|
||||
|
||||
'hxr':['h', 'x', 'real'],
|
||||
'hyr':['h', 'y', 'real'],
|
||||
'hzr':['h', 'z', 'real'],
|
||||
'hxi':['h', 'x', 'imag'],
|
||||
'hyi':['h', 'y', 'imag'],
|
||||
'hzi':['h', 'z', 'imag'],
|
||||
}
|
||||
radius = None
|
||||
|
||||
def __init__(self, locs, rxType):
|
||||
SimPEG.Survey.BaseRx.__init__(self, locs, rxType)
|
||||
|
||||
@property
|
||||
def projField(self):
|
||||
"""Field Type projection (e.g. e b ...)"""
|
||||
return self.knownRxTypes[self.rxType][0]
|
||||
|
||||
@property
|
||||
def projComp(self):
|
||||
"""Component projection (real/imag)"""
|
||||
return self.knownRxTypes[self.rxType][2]
|
||||
|
||||
def projGLoc(self, u):
|
||||
"""Grid Location projection (e.g. Ex Fy ...)"""
|
||||
return u.prob._GLoc(self.rxType[0]) + self.knownRxTypes[self.rxType][1]
|
||||
|
||||
def eval(self, src, mesh, f):
|
||||
"""
|
||||
Project fields to recievers to get data.
|
||||
|
||||
:param Source src: FDEM source
|
||||
:param Mesh mesh: mesh used
|
||||
:param Fields f: fields object
|
||||
:rtype: numpy.ndarray
|
||||
:return: fields projected to recievers
|
||||
"""
|
||||
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
f_part_complex = f[src, self.projField]
|
||||
# get the real or imag component
|
||||
real_or_imag = self.projComp
|
||||
f_part = getattr(f_part_complex, real_or_imag)
|
||||
|
||||
return P*f_part
|
||||
|
||||
def evalDeriv(self, src, mesh, f, v, adjoint=False):
|
||||
"""
|
||||
Derivative of projected fields with respect to the inversion model times a vector.
|
||||
|
||||
:param Source src: FDEM source
|
||||
:param Mesh mesh: mesh used
|
||||
:param Fields f: fields object
|
||||
:param numpy.ndarray v: vector to multiply
|
||||
:rtype: numpy.ndarray
|
||||
:return: fields projected to recievers
|
||||
"""
|
||||
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
|
||||
if not adjoint:
|
||||
Pv_complex = P * v
|
||||
real_or_imag = self.projComp
|
||||
Pv = getattr(Pv_complex, real_or_imag)
|
||||
elif adjoint:
|
||||
Pv_real = P.T * v
|
||||
|
||||
real_or_imag = self.projComp
|
||||
if real_or_imag == 'imag':
|
||||
Pv = 1j*Pv_real
|
||||
elif real_or_imag == 'real':
|
||||
Pv = Pv_real.astype(complex)
|
||||
else:
|
||||
raise NotImplementedError('must be real or imag')
|
||||
|
||||
return Pv
|
||||
|
||||
|
||||
####################################################
|
||||
# Survey
|
||||
####################################################
|
||||
|
||||
class Survey(BaseEMSurvey):
|
||||
"""
|
||||
Frequency domain electromagnetic survey
|
||||
@@ -21,7 +130,7 @@ class Survey(BaseEMSurvey):
|
||||
"""
|
||||
|
||||
srcPair = Src.BaseSrc
|
||||
rxPair = Rx.BaseRx
|
||||
rxPair = Rx
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
# Sort these by frequency
|
||||
|
||||
@@ -1,11 +1,3 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .SurveyFDEM import Survey
|
||||
from . import SrcFDEM as Src
|
||||
from . import RxFDEM as Rx
|
||||
from .ProblemFDEM import Problem3D_e, Problem3D_b, Problem3D_j, Problem3D_h
|
||||
from .FieldsFDEM import Fields3D_e, Fields3D_b, Fields3D_j, Fields3D_h
|
||||
from SurveyFDEM import Rx, Src, Survey
|
||||
from FDEM import BaseFDEMProblem, Problem_e, Problem_b, Problem_j, Problem_h
|
||||
from FieldsFDEM import *
|
||||
@@ -1,166 +0,0 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import numpy as np
|
||||
|
||||
def getxBCyBC_CC(mesh, alpha, beta, gamma):
|
||||
# def getxBCyBC(mesh, alpha, beta, gamma):
|
||||
"""
|
||||
This is a subfunction generating mixed-boundary condition:
|
||||
|
||||
.. math::
|
||||
|
||||
\nabla \cdot \vec{j} = -\nabla \cdot \vec{j}_s = q
|
||||
|
||||
\rho \vec{j} = -\nabla \phi \phi
|
||||
|
||||
\alpha \phi + \beta \frac{\partial \phi}{\partial r} = \gamma \ at \ r = \partial \Omega
|
||||
|
||||
xBC = f_1(\alpha, \beta, \gamma)
|
||||
yBC = f(\alpha, \beta, \gamma)
|
||||
|
||||
Computes xBC and yBC for cell-centered discretizations
|
||||
"""
|
||||
if mesh.dim == 1: #1D
|
||||
if (len(alpha) != 2 or len(beta) != 2 or len(gamma) != 2):
|
||||
raise Exception("Lenght of list, alpha should be 2")
|
||||
fCCxm,fCCxp = mesh.cellBoundaryInd
|
||||
nBC = fCCxm.sum()+fCCxp.sum()
|
||||
h_xm, h_xp = mesh.gridCC[fCCxm], mesh.gridCC[fCCxp]
|
||||
|
||||
alpha_xm, beta_xm, gamma_xm = alpha[0], beta[0], gamma[0]
|
||||
alpha_xp, beta_xp, gamma_xp = alpha[1], beta[1], gamma[1]
|
||||
|
||||
# h_xm, h_xp = mesh.gridCC[fCCxm], mesh.gridCC[fCCxp]
|
||||
h_xm, h_xp = mesh.hx[0], mesh.hx[-1]
|
||||
|
||||
a_xm = gamma_xm/(0.5*alpha_xm-beta_xm/h_xm)
|
||||
b_xm = (0.5*alpha_xm+beta_xm/h_xm)/(0.5*alpha_xm-beta_xm/h_xm)
|
||||
a_xp = gamma_xp/(0.5*alpha_xp-beta_xp/h_xp)
|
||||
b_xp = (0.5*alpha_xp+beta_xp/h_xp)/(0.5*alpha_xp-beta_xp/h_xp)
|
||||
|
||||
xBC_xm = 0.5*a_xm
|
||||
xBC_xp = 0.5*a_xp/b_xp
|
||||
yBC_xm = 0.5*(1.-b_xm)
|
||||
yBC_xp = 0.5*(1.-1./b_xp)
|
||||
|
||||
xBC = np.r_[xBC_xm, xBC_xp]
|
||||
yBC = np.r_[yBC_xm, yBC_xp]
|
||||
|
||||
elif mesh.dim == 2: #2D
|
||||
if (len(alpha) != 4 or len(beta) != 4 or len(gamma) != 4):
|
||||
raise Exception("Lenght of list, alpha should be 4")
|
||||
|
||||
fxm,fxp,fym,fyp = mesh.faceBoundaryInd
|
||||
nBC = fxm.sum()+fxp.sum()+fxm.sum()+fxp.sum()
|
||||
|
||||
alpha_xm, beta_xm, gamma_xm = alpha[0], beta[0], gamma[0]
|
||||
alpha_xp, beta_xp, gamma_xp = alpha[1], beta[1], gamma[1]
|
||||
alpha_ym, beta_ym, gamma_ym = alpha[2], beta[2], gamma[2]
|
||||
alpha_yp, beta_yp, gamma_yp = alpha[3], beta[3], gamma[3]
|
||||
|
||||
# h_xm, h_xp = mesh.gridCC[fCCxm,0], mesh.gridCC[fCCxp,0]
|
||||
# h_ym, h_yp = mesh.gridCC[fCCym,1], mesh.gridCC[fCCyp,1]
|
||||
|
||||
h_xm, h_xp = mesh.hx[0]*np.ones_like(alpha_xm), mesh.hx[-1]*np.ones_like(alpha_xp)
|
||||
h_ym, h_yp = mesh.hy[0]*np.ones_like(alpha_ym), mesh.hy[-1]*np.ones_like(alpha_yp)
|
||||
|
||||
a_xm = gamma_xm/(0.5*alpha_xm-beta_xm/h_xm)
|
||||
b_xm = (0.5*alpha_xm+beta_xm/h_xm)/(0.5*alpha_xm-beta_xm/h_xm)
|
||||
a_xp = gamma_xp/(0.5*alpha_xp-beta_xp/h_xp)
|
||||
b_xp = (0.5*alpha_xp+beta_xp/h_xp)/(0.5*alpha_xp-beta_xp/h_xp)
|
||||
|
||||
a_ym = gamma_ym/(0.5*alpha_ym-beta_ym/h_ym)
|
||||
b_ym = (0.5*alpha_ym+beta_ym/h_ym)/(0.5*alpha_ym-beta_ym/h_ym)
|
||||
a_yp = gamma_yp/(0.5*alpha_yp-beta_yp/h_yp)
|
||||
b_yp = (0.5*alpha_yp+beta_yp/h_yp)/(0.5*alpha_yp-beta_yp/h_yp)
|
||||
|
||||
xBC_xm = 0.5*a_xm
|
||||
xBC_xp = 0.5*a_xp/b_xp
|
||||
yBC_xm = 0.5*(1.-b_xm)
|
||||
yBC_xp = 0.5*(1.-1./b_xp)
|
||||
xBC_ym = 0.5*a_ym
|
||||
xBC_yp = 0.5*a_yp/b_yp
|
||||
yBC_ym = 0.5*(1.-b_ym)
|
||||
yBC_yp = 0.5*(1.-1./b_yp)
|
||||
|
||||
sortindsfx = np.argsort(np.r_[np.arange(mesh.nFx)[fxm], np.arange(mesh.nFx)[fxp]])
|
||||
sortindsfy = np.argsort(np.r_[np.arange(mesh.nFy)[fym], np.arange(mesh.nFy)[fyp]])
|
||||
|
||||
xBC_x = np.r_[xBC_xm, xBC_xp][sortindsfx]
|
||||
xBC_y = np.r_[xBC_ym, xBC_yp][sortindsfy]
|
||||
yBC_x = np.r_[yBC_xm, yBC_xp][sortindsfx]
|
||||
yBC_y = np.r_[yBC_ym, yBC_yp][sortindsfy]
|
||||
|
||||
xBC = np.r_[xBC_x, xBC_y]
|
||||
yBC = np.r_[yBC_x, yBC_y]
|
||||
|
||||
elif mesh.dim == 3: #3D
|
||||
if (len(alpha) != 6 or len(beta) != 6 or len(gamma) != 6):
|
||||
raise Exception("Lenght of list, alpha should be 6")
|
||||
# fCCxm,fCCxp,fCCym,fCCyp,fCCzm,fCCzp = mesh.cellBoundaryInd
|
||||
fxm,fxp,fym,fyp,fzm,fzp = mesh.faceBoundaryInd
|
||||
nBC = fxm.sum()+fxp.sum()+fxm.sum()+fxp.sum()
|
||||
|
||||
alpha_xm, beta_xm, gamma_xm = alpha[0], beta[0], gamma[0]
|
||||
alpha_xp, beta_xp, gamma_xp = alpha[1], beta[1], gamma[1]
|
||||
alpha_ym, beta_ym, gamma_ym = alpha[2], beta[2], gamma[2]
|
||||
alpha_yp, beta_yp, gamma_yp = alpha[3], beta[3], gamma[3]
|
||||
alpha_zm, beta_zm, gamma_zm = alpha[4], beta[4], gamma[4]
|
||||
alpha_zp, beta_zp, gamma_zp = alpha[5], beta[5], gamma[5]
|
||||
|
||||
# h_xm, h_xp = mesh.gridCC[fCCxm,0], mesh.gridCC[fCCxp,0]
|
||||
# h_ym, h_yp = mesh.gridCC[fCCym,1], mesh.gridCC[fCCyp,1]
|
||||
# h_zm, h_zp = mesh.gridCC[fCCzm,2], mesh.gridCC[fCCzp,2]
|
||||
|
||||
h_xm, h_xp = mesh.hx[0]*np.ones_like(alpha_xm), mesh.hx[-1]*np.ones_like(alpha_xp)
|
||||
h_ym, h_yp = mesh.hy[0]*np.ones_like(alpha_ym), mesh.hy[-1]*np.ones_like(alpha_yp)
|
||||
h_zm, h_zp = mesh.hz[0]*np.ones_like(alpha_zm), mesh.hz[-1]*np.ones_like(alpha_zp)
|
||||
|
||||
a_xm = gamma_xm/(0.5*alpha_xm-beta_xm/h_xm)
|
||||
b_xm = (0.5*alpha_xm+beta_xm/h_xm)/(0.5*alpha_xm-beta_xm/h_xm)
|
||||
a_xp = gamma_xp/(0.5*alpha_xp-beta_xp/h_xp)
|
||||
b_xp = (0.5*alpha_xp+beta_xp/h_xp)/(0.5*alpha_xp-beta_xp/h_xp)
|
||||
|
||||
a_ym = gamma_ym/(0.5*alpha_ym-beta_ym/h_ym)
|
||||
b_ym = (0.5*alpha_ym+beta_ym/h_ym)/(0.5*alpha_ym-beta_ym/h_ym)
|
||||
a_yp = gamma_yp/(0.5*alpha_yp-beta_yp/h_yp)
|
||||
b_yp = (0.5*alpha_yp+beta_yp/h_yp)/(0.5*alpha_yp-beta_yp/h_yp)
|
||||
|
||||
a_zm = gamma_zm/(0.5*alpha_zm-beta_zm/h_zm)
|
||||
b_zm = (0.5*alpha_zm+beta_zm/h_zm)/(0.5*alpha_zm-beta_zm/h_zm)
|
||||
a_zp = gamma_zp/(0.5*alpha_zp-beta_zp/h_zp)
|
||||
b_zp = (0.5*alpha_zp+beta_zp/h_zp)/(0.5*alpha_zp-beta_zp/h_zp)
|
||||
|
||||
xBC_xm = 0.5*a_xm
|
||||
xBC_xp = 0.5*a_xp/b_xp
|
||||
yBC_xm = 0.5*(1.-b_xm)
|
||||
yBC_xp = 0.5*(1.-1./b_xp)
|
||||
xBC_ym = 0.5*a_ym
|
||||
xBC_yp = 0.5*a_yp/b_yp
|
||||
yBC_ym = 0.5*(1.-b_ym)
|
||||
yBC_yp = 0.5*(1.-1./b_yp)
|
||||
xBC_zm = 0.5*a_zm
|
||||
xBC_zp = 0.5*a_zp/b_zp
|
||||
yBC_zm = 0.5*(1.-b_zm)
|
||||
yBC_zp = 0.5*(1.-1./b_zp)
|
||||
|
||||
sortindsfx = np.argsort(np.r_[np.arange(mesh.nFx)[fxm], np.arange(mesh.nFx)[fxp]])
|
||||
sortindsfy = np.argsort(np.r_[np.arange(mesh.nFy)[fym], np.arange(mesh.nFy)[fyp]])
|
||||
sortindsfz = np.argsort(np.r_[np.arange(mesh.nFz)[fzm], np.arange(mesh.nFz)[fzp]])
|
||||
|
||||
xBC_x = np.r_[xBC_xm, xBC_xp][sortindsfx]
|
||||
xBC_y = np.r_[xBC_ym, xBC_yp][sortindsfy]
|
||||
xBC_z = np.r_[xBC_zm, xBC_zp][sortindsfz]
|
||||
|
||||
yBC_x = np.r_[yBC_xm, yBC_xp][sortindsfx]
|
||||
yBC_y = np.r_[yBC_ym, yBC_yp][sortindsfy]
|
||||
yBC_z = np.r_[yBC_zm, yBC_zp][sortindsfz]
|
||||
|
||||
xBC = np.r_[xBC_x, xBC_y, xBC_z]
|
||||
yBC = np.r_[yBC_x, yBC_y, yBC_z]
|
||||
|
||||
return xBC, yBC
|
||||
@@ -1,154 +0,0 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import SimPEG
|
||||
from SimPEG.Utils import Identity, Zero
|
||||
import numpy as np
|
||||
from scipy.constants import epsilon_0
|
||||
|
||||
class Fields(SimPEG.Problem.Fields):
|
||||
knownFields = {}
|
||||
dtype = float
|
||||
|
||||
def _phiDeriv(self, src, du_dm_v, v, adjoint=False):
|
||||
if getattr(self, '_phiDeriv_u', None) is None or getattr(self, '_phiDeriv_m', None) is None:
|
||||
raise NotImplementedError ('Getting phiDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._phiDeriv_u(src, v, adjoint=adjoint), self._phiDeriv_m(src, v, adjoint=adjoint)
|
||||
|
||||
return np.array(self._phiDeriv_u(src, du_dm_v, adjoint) + self._phiDeriv_m(src, v, adjoint), dtype = float)
|
||||
|
||||
def _eDeriv(self, src, du_dm_v, v, adjoint=False):
|
||||
if getattr(self, '_eDeriv_u', None) is None or getattr(self, '_eDeriv_m', None) is None:
|
||||
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._eDeriv_u(src, v, adjoint), self._eDeriv_m(src, v, adjoint)
|
||||
return np.array(self._eDeriv_u(src, du_dm_v, adjoint) + self._eDeriv_m(src, v, adjoint), dtype = float)
|
||||
|
||||
def _jDeriv(self, src, du_dm_v, v, adjoint=False):
|
||||
if getattr(self, '_jDeriv_u', None) is None or getattr(self, '_jDeriv_m', None) is None:
|
||||
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
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 = float)
|
||||
|
||||
|
||||
class Fields_CC(Fields):
|
||||
knownFields = {'phiSolution':'CC'}
|
||||
aliasFields = {
|
||||
'phi': ['phiSolution','CC','_phi'],
|
||||
'j' : ['phiSolution','F','_j'],
|
||||
'e' : ['phiSolution','F','_e'],
|
||||
'charge' : ['phiSolution','CC','_charge'],
|
||||
}
|
||||
# primary - secondary
|
||||
# CC variables
|
||||
|
||||
def __init__(self, mesh, survey, **kwargs):
|
||||
Fields.__init__(self, mesh, survey, **kwargs)
|
||||
mesh.setCellGradBC("neumann")
|
||||
cellGrad = mesh.cellGrad
|
||||
def startup(self):
|
||||
self.prob = self.survey.prob
|
||||
|
||||
def _GLoc(self, fieldType):
|
||||
if fieldType == 'phi':
|
||||
return 'CC'
|
||||
elif fieldType == 'e' or fieldType == 'j':
|
||||
return 'F'
|
||||
else:
|
||||
raise Exception('Field type must be phi, e, j')
|
||||
|
||||
def _phi(self, phiSolution, srcList):
|
||||
return phiSolution
|
||||
|
||||
def _phiDeriv_u(self, src, v, adjoint = False):
|
||||
return Identity()*v
|
||||
|
||||
def _phiDeriv_m(self, src, v, adjoint = False):
|
||||
return Zero()
|
||||
|
||||
def _j(self, phiSolution, srcList):
|
||||
"""
|
||||
.. math::
|
||||
\mathbf{j} = \mathbf{M}^{f \ -1}_{\rho} \mathbf{G} \phi
|
||||
"""
|
||||
return self.prob.MfRhoI*self.prob.Grad*phiSolution
|
||||
|
||||
def _e(self, phiSolution, srcList):
|
||||
"""
|
||||
In HJ formulation e is not well-defined!!
|
||||
.. math::
|
||||
\vec{e} = -\nabla \phi
|
||||
"""
|
||||
return -self.mesh.cellGrad*phiSolution
|
||||
|
||||
def _charge(self, phiSolution, srcList):
|
||||
"""
|
||||
.. math::
|
||||
\int \nabla \codt \vec{e} = \int \frac{\rho_v }{\epsillon_0}
|
||||
"""
|
||||
return epsilon_0*self.prob.Vol*(self.mesh.faceDiv*self._e(phiSolution, srcList))
|
||||
|
||||
class Fields_N(Fields):
|
||||
knownFields = {'phiSolution':'N'}
|
||||
aliasFields = {
|
||||
'phi': ['phiSolution','N','_phi'],
|
||||
'j' : ['phiSolution','E','_j'],
|
||||
'e' : ['phiSolution','E','_e'],
|
||||
'charge' : ['phiSolution','N','_charge'],
|
||||
}
|
||||
# primary - secondary
|
||||
# N variables
|
||||
|
||||
def __init__(self, mesh, survey, **kwargs):
|
||||
Fields.__init__(self, mesh, survey, **kwargs)
|
||||
|
||||
def startup(self):
|
||||
self.prob = self.survey.prob
|
||||
|
||||
def _GLoc(self, fieldType):
|
||||
if fieldType == 'phi':
|
||||
return 'N'
|
||||
elif fieldType == 'e' or fieldType == 'j':
|
||||
return 'E'
|
||||
else:
|
||||
raise Exception('Field type must be phi, e, j')
|
||||
|
||||
def _phi(self, phiSolution, srcList):
|
||||
return phiSolution
|
||||
|
||||
def _phiDeriv_u(self, src, v, adjoint = False):
|
||||
return Identity()*v
|
||||
|
||||
def _phiDeriv_m(self, src, v, adjoint = False):
|
||||
return Zero()
|
||||
|
||||
def _j(self, phiSolution, srcList):
|
||||
"""
|
||||
In EB formulation j is not well-defined!!
|
||||
.. math::
|
||||
\mathbf{j} = - \mathbf{M}^{e}_{\sigma} \mathbf{G} \phi
|
||||
"""
|
||||
return self.prob.MeSigma * self._e(phiSolution, srcList)
|
||||
|
||||
def _e(self, phiSolution, srcList):
|
||||
"""
|
||||
In HJ formulation e is not well-defined!!
|
||||
.. math::
|
||||
\vec{e} = -\nabla \phi
|
||||
"""
|
||||
return -self.mesh.nodalGrad * phiSolution
|
||||
|
||||
def _charge(self, phiSolution, srcList):
|
||||
"""
|
||||
.. math::
|
||||
\int \nabla \codt \vec{e} = \int \frac{\rho_v }{\epsillon_0}
|
||||
"""
|
||||
return - epsilon_0*(self.mesh.nodalGrad.T*self.mesh.getEdgeInnerProduct()*self._e(phiSolution, srcList))
|
||||
@@ -1,152 +0,0 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import SimPEG
|
||||
from SimPEG.Utils import Identity, Zero
|
||||
import numpy as np
|
||||
|
||||
class Fields_ky(SimPEG.Problem.TimeFields):
|
||||
|
||||
"""
|
||||
|
||||
Fancy Field Storage for a 2.5D code.
|
||||
|
||||
u[:,'phi', kyInd] = phi
|
||||
print u[src0,'phi']
|
||||
|
||||
Only one field type is stored for
|
||||
each problem, the rest are computed. The fields obejct acts like an array and is indexed by
|
||||
.. code-block:: python
|
||||
f = problem.fields(m)
|
||||
e = f[srcList,'e']
|
||||
j = f[srcList,'j']
|
||||
|
||||
If accessing all sources for a given field, use the :code:`:`
|
||||
.. code-block:: python
|
||||
f = problem.fields(m)
|
||||
phi = f[:,'phi']
|
||||
e = f[:,'e']
|
||||
b = f[:,'b']
|
||||
The array returned will be size (nE or nF, nSrcs :math:`\\times` nFrequencies)
|
||||
"""
|
||||
|
||||
knownFields = {}
|
||||
dtype = float
|
||||
|
||||
def _phiDeriv(self,kyInd, src, du_dm_v, v, adjoint=False):
|
||||
if getattr(self, '_phiDeriv_u', None) is None or getattr(self, '_phiDeriv_m', None) is None:
|
||||
raise NotImplementedError ('Getting phiDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._phiDeriv_u(kyInd, src, v, adjoint=adjoint), self._phiDeriv_m(kyInd, src, v, adjoint=adjoint)
|
||||
|
||||
return np.array(self._phiDeriv_u(kyInd, src, du_dm_v, adjoint) + self._phiDeriv_m(kyInd, src, v, adjoint), dtype = float)
|
||||
|
||||
def _eDeriv(self,kyInd, src, du_dm_v, v, adjoint=False):
|
||||
if getattr(self, '_eDeriv_u', None) is None or getattr(self, '_eDeriv_m', None) is None:
|
||||
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._eDeriv_u(kyInd, src, v, adjoint), self._eDeriv_m(kyInd, src, v, adjoint)
|
||||
return np.array(self._eDeriv_u(kyInd, src, du_dm_v, adjoint) + self._eDeriv_m(kyInd, src, v, adjoint), dtype = float)
|
||||
|
||||
def _jDeriv(self,kyInd, src, du_dm_v, v, adjoint=False):
|
||||
if getattr(self, '_jDeriv_u', None) is None or getattr(self, '_jDeriv_m', None) is None:
|
||||
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %list(self.knownFields.keys())[0])
|
||||
|
||||
if adjoint:
|
||||
return self._jDeriv_u(kyInd, src, v, adjoint), self._jDeriv_m(kyInd, src, v, adjoint)
|
||||
return np.array(self._jDeriv_u(kyInd, src, du_dm_v, adjoint) + self._jDeriv_m(kyInd, src, v, adjoint), dtype = float)
|
||||
|
||||
|
||||
# def _eDeriv(self, tInd, src, dun_dm_v, v, adjoint=False):
|
||||
# if adjoint is True:
|
||||
# return self._eDeriv_u(tInd, src, v, adjoint), self._eDeriv_m(tInd, src, v, adjoint)
|
||||
# return self._eDeriv_u(tInd, src, dun_dm_v) + self._eDeriv_m(tInd, src, v)
|
||||
|
||||
# def _bDeriv(self, tInd, src, dun_dm_v, v, adjoint=False):
|
||||
# if adjoint is True:
|
||||
# return self._bDeriv_u(tInd, src, v, adjoint), self._bDeriv_m(tInd, src, v, adjoint)
|
||||
# return self._bDeriv_u(tInd, src, dun_dm_v) + self._bDeriv_m(tInd, src, v)
|
||||
|
||||
|
||||
class Fields_ky_CC(Fields_ky):
|
||||
knownFields = {'phiSolution':'CC'}
|
||||
aliasFields = {
|
||||
'phi': ['phiSolution','CC','_phi'],
|
||||
'j' : ['phiSolution','F','_j'],
|
||||
'e' : ['phiSolution','F','_e'],
|
||||
}
|
||||
# primary - secondary
|
||||
# CC variables
|
||||
|
||||
def __init__(self, mesh, survey, **kwargs):
|
||||
Fields_ky.__init__(self, mesh, survey, **kwargs)
|
||||
|
||||
def startup(self):
|
||||
self.prob = self.survey.prob
|
||||
|
||||
def _GLoc(self, fieldType):
|
||||
if fieldType == 'phi':
|
||||
return 'CC'
|
||||
elif fieldType == 'e' or fieldType == 'j':
|
||||
return 'F'
|
||||
else:
|
||||
raise Exception('Field type must be phi, e, j')
|
||||
|
||||
def _phi(self, phiSolution, src, kyInd):
|
||||
return phiSolution
|
||||
|
||||
def _phiDeriv_u(self, kyInd, src, v, adjoint = False):
|
||||
return Identity()*v
|
||||
|
||||
def _phiDeriv_m(self, kyInd, src, v, adjoint = False):
|
||||
return Zero()
|
||||
|
||||
def _j(self, phiSolution, srcList):
|
||||
raise NotImplementedError
|
||||
|
||||
def _e(self, phiSolution, srcList):
|
||||
raise NotImplementedError
|
||||
|
||||
class Fields_ky_N(Fields_ky):
|
||||
knownFields = {'phiSolution':'N'}
|
||||
aliasFields = {
|
||||
'phi': ['phiSolution','N','_phi'],
|
||||
'j' : ['phiSolution','E','_j'],
|
||||
'e' : ['phiSolution','E','_e'],
|
||||
}
|
||||
# primary - secondary
|
||||
# CC variables
|
||||
|
||||
def __init__(self, mesh, survey, **kwargs):
|
||||
Fields_ky.__init__(self, mesh, survey, **kwargs)
|
||||
|
||||
def startup(self):
|
||||
self.prob = self.survey.prob
|
||||
|
||||
def _GLoc(self, fieldType):
|
||||
if fieldType == 'phi':
|
||||
return 'N'
|
||||
elif fieldType == 'e' or fieldType == 'j':
|
||||
return 'E'
|
||||
else:
|
||||
raise Exception('Field type must be phi, e, j')
|
||||
|
||||
def _phi(self, phiSolution, src, kyInd):
|
||||
return phiSolution
|
||||
|
||||
def _phiDeriv_u(self, kyInd, src, v, adjoint = False):
|
||||
return Identity()*v
|
||||
|
||||
def _phiDeriv_m(self, kyInd, src, v, adjoint = False):
|
||||
return Zero()
|
||||
|
||||
def _j(self, phiSolution, srcList):
|
||||
raise NotImplementedError
|
||||
|
||||
def _e(self, phiSolution, srcList):
|
||||
raise NotImplementedError
|
||||
@@ -1,302 +0,0 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import Problem, Utils
|
||||
from SimPEG.EM.Base import BaseEMProblem
|
||||
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
|
||||
|
||||
class BaseDCProblem(BaseEMProblem):
|
||||
|
||||
surveyPair = Survey
|
||||
fieldsPair = Fields
|
||||
Ainv = None
|
||||
|
||||
def fields(self, m):
|
||||
self.curModel = m
|
||||
|
||||
if not self.Ainv == None:
|
||||
self.Ainv.clean()
|
||||
|
||||
f = self.fieldsPair(self.mesh, self.survey)
|
||||
A = self.getA()
|
||||
self.Ainv = self.Solver(A, **self.solverOpts)
|
||||
RHS = self.getRHS()
|
||||
u = self.Ainv * RHS
|
||||
Srcs = self.survey.srcList
|
||||
f[Srcs, self._solutionType] = u
|
||||
return f
|
||||
|
||||
def Jvec(self, m, v, f=None):
|
||||
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
self.curModel = m
|
||||
|
||||
Jv = self.dataPair(self.survey) #same size as the data
|
||||
|
||||
A = self.getA()
|
||||
|
||||
for src in self.survey.srcList:
|
||||
u_src = f[src, self._solutionType] # solution vector
|
||||
dA_dm_v = self.getADeriv(u_src, v)
|
||||
dRHS_dm_v = self.getRHSDeriv(src, v)
|
||||
du_dm_v = self.Ainv * ( - dA_dm_v + dRHS_dm_v )
|
||||
|
||||
for rx in src.rxList:
|
||||
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_dm_v = df_dmFun(src, du_dm_v, v, adjoint=False)
|
||||
Jv[src, rx] = rx.evalDeriv(src, self.mesh, f, df_dm_v)
|
||||
return Utils.mkvc(Jv)
|
||||
|
||||
def Jtvec(self, m, v, f=None):
|
||||
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)
|
||||
AT = self.getA()
|
||||
|
||||
|
||||
for src in self.survey.srcList:
|
||||
u_src = f[src, self._solutionType]
|
||||
for rx in src.rxList:
|
||||
PTv = rx.evalDeriv(src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m
|
||||
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_duT, df_dmT = df_duTFun(src, None, PTv, adjoint=True)
|
||||
|
||||
ATinvdf_duT = self.Ainv * df_duT
|
||||
|
||||
dA_dmT = self.getADeriv(u_src, ATinvdf_duT, adjoint=True)
|
||||
dRHS_dmT = self.getRHSDeriv(src, ATinvdf_duT, adjoint=True)
|
||||
du_dmT = -dA_dmT + dRHS_dmT
|
||||
Jtv += (df_dmT + du_dmT).astype(float)
|
||||
|
||||
return Utils.mkvc(Jtv)
|
||||
|
||||
def getSourceTerm(self):
|
||||
"""
|
||||
takes concept of source and turns it into a matrix
|
||||
"""
|
||||
"""
|
||||
Evaluates the sources, and puts them in matrix form
|
||||
|
||||
:rtype: (numpy.ndarray, numpy.ndarray)
|
||||
:return: q (nC or nN, nSrc)
|
||||
"""
|
||||
|
||||
Srcs = self.survey.srcList
|
||||
|
||||
if self._formulation is 'EB':
|
||||
n = self.mesh.nN
|
||||
# return NotImplementedError
|
||||
|
||||
elif self._formulation is 'HJ':
|
||||
n = self.mesh.nC
|
||||
|
||||
q = np.zeros((n, len(Srcs)))
|
||||
|
||||
for i, src in enumerate(Srcs):
|
||||
q[:,i] = src.eval(self)
|
||||
return q
|
||||
|
||||
class Problem3D_CC(BaseDCProblem):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'HJ' # CC potentials means J is on faces
|
||||
fieldsPair = Fields_CC
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseDCProblem.__init__(self, mesh, **kwargs)
|
||||
self.setBC()
|
||||
|
||||
def getA(self):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = D MfRhoI G
|
||||
|
||||
"""
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
MfRhoI = self.MfRhoI
|
||||
A = D * MfRhoI * G
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return V.T * A
|
||||
return A
|
||||
|
||||
def getADeriv(self, u, v, adjoint= False):
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
MfRhoIDeriv = self.MfRhoIDeriv
|
||||
|
||||
if adjoint:
|
||||
return(MfRhoIDeriv( G * u ).T) * ( D.T * v)
|
||||
|
||||
return D * (MfRhoIDeriv( G * u ) * v)
|
||||
|
||||
def getRHS(self):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm()
|
||||
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
def setBC(self):
|
||||
if self.mesh.dim==3:
|
||||
fxm,fxp,fym,fyp,fzm,fzp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
gBFzm = self.mesh.gridFz[fzm,:]
|
||||
gBFzp = self.mesh.gridFz[fzp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
temp_zm, temp_zp = np.ones_like(gBFzm[:,2]), np.ones_like(gBFzp[:,2])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
alpha_zm, alpha_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
beta_zm, beta_zp = temp_zm, temp_zp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
gamma_zm, gamma_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp, alpha_zm, alpha_zp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp, beta_zm, beta_zp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp, gamma_zm, gamma_zp]
|
||||
|
||||
elif self.mesh.dim==2:
|
||||
|
||||
fxm,fxp,fym,fyp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp]
|
||||
|
||||
x_BC, y_BC = getxBCyBC_CC(self.mesh, alpha, beta, gamma)
|
||||
V = self.Vol
|
||||
self.Div = V * self.mesh.faceDiv
|
||||
P_BC, B = self.mesh.getBCProjWF_simple()
|
||||
M = B*self.mesh.aveCC2F
|
||||
self.Grad = self.Div.T - P_BC*Utils.sdiag(y_BC)*M
|
||||
|
||||
|
||||
class Problem3D_N(BaseDCProblem):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'EB' # N potentials means B is on faces
|
||||
fieldsPair = Fields_N
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseDCProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
def getA(self):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = G.T MeSigma G
|
||||
|
||||
"""
|
||||
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
A = Grad.T * MeSigma * Grad
|
||||
|
||||
# Handling Null space of A
|
||||
A[0,0] = A[0,0] + 1.
|
||||
|
||||
return A
|
||||
|
||||
def getADeriv(self, u, v, adjoint=False):
|
||||
"""
|
||||
|
||||
Product of the derivative of our system matrix with respect to the model and a vector
|
||||
|
||||
"""
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
if not adjoint:
|
||||
return Grad.T*(self.MeSigmaDeriv(Grad*u)*v)
|
||||
elif adjoint:
|
||||
return self.MeSigmaDeriv(Grad*u).T * (Grad*v)
|
||||
|
||||
|
||||
def getRHS(self):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm()
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
|
||||
|
||||
|
||||
@@ -1,356 +0,0 @@
|
||||
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 SimPEG.Utils import sdiag
|
||||
import numpy as np
|
||||
from SimPEG.Utils import Zero
|
||||
from .BoundaryUtils import getxBCyBC_CC
|
||||
|
||||
class BaseDCProblem_2D(BaseEMProblem):
|
||||
|
||||
surveyPair = Survey_ky
|
||||
fieldsPair = Fields_ky
|
||||
nky = 15
|
||||
kys = np.logspace(-4, 1, nky)
|
||||
Ainv = [None for i in range(nky)]
|
||||
nT = nky # Only for using TimeFields
|
||||
|
||||
def fields(self, m):
|
||||
self.curModel = m
|
||||
|
||||
if not self.Ainv[0] == None:
|
||||
for i in range(self.nky):
|
||||
self.Ainv[i].clean()
|
||||
|
||||
f = self.fieldsPair(self.mesh, self.survey)
|
||||
Srcs = self.survey.srcList
|
||||
for iky in range(self.nky):
|
||||
ky = self.kys[iky]
|
||||
A = self.getA(ky)
|
||||
self.Ainv[iky] = self.Solver(A, **self.solverOpts)
|
||||
RHS = self.getRHS(ky)
|
||||
u = self.Ainv[iky] * RHS
|
||||
f[Srcs, self._solutionType, iky] = u
|
||||
return f
|
||||
|
||||
def Jvec(self, m, v, f=None):
|
||||
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
self.curModel = m
|
||||
|
||||
Jv = self.dataPair(self.survey) #same size as the data
|
||||
Jv0 = self.dataPair(self.survey)
|
||||
|
||||
# Assume y=0.
|
||||
# This needs some thoughts to implement in general when src is dipole
|
||||
dky = np.diff(self.kys)
|
||||
dky = np.r_[dky[0], dky]
|
||||
y = 0.
|
||||
|
||||
#TODO: this loop is pretty slow .. (Parellize)
|
||||
for iky in range(self.nky):
|
||||
ky = self.kys[iky]
|
||||
A = self.getA(ky)
|
||||
for src in self.survey.srcList:
|
||||
u_src = f[src, self._solutionType, iky] # solution vector
|
||||
dA_dm_v = self.getADeriv(ky, u_src, v)
|
||||
dRHS_dm_v = self.getRHSDeriv(ky, src, v)
|
||||
du_dm_v = self.Ainv[iky] * ( - dA_dm_v + dRHS_dm_v )
|
||||
for rx in src.rxList:
|
||||
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_dm_v = df_dmFun(iky, src, du_dm_v, v, adjoint=False)
|
||||
# Trapezoidal intergration
|
||||
Jv1_temp = 1./np.pi*rx.evalDeriv(ky, src, self.mesh, f, df_dm_v)
|
||||
if iky==0:
|
||||
#First assigment
|
||||
Jv[src, rx] = Jv1_temp*dky[iky]*np.cos(ky*y)
|
||||
else:
|
||||
Jv[src, rx] += Jv1_temp*dky[iky] /2.*np.cos(ky*y)
|
||||
Jv[src, rx] += Jv0[src, rx]*dky[iky]/2.*np.cos(ky*y)
|
||||
Jv0[src, rx] = Jv1_temp.copy()
|
||||
return Utils.mkvc(Jv)
|
||||
|
||||
def Jtvec(self, m, v, f=None):
|
||||
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, dtype=float)
|
||||
|
||||
# Assume y=0.
|
||||
# This needs some thoughts to implement in general when src is dipole
|
||||
dky = np.diff(self.kys)
|
||||
dky = np.r_[dky[0], dky]
|
||||
y = 0.
|
||||
|
||||
for src in self.survey.srcList:
|
||||
for rx in src.rxList:
|
||||
Jtv_temp1 = np.zeros(m.size, dtype=float)
|
||||
Jtv_temp0 = np.zeros(m.size, dtype=float)
|
||||
#TODO: this loop is pretty slow .. (Parellize)
|
||||
for iky in range(self.nky):
|
||||
u_src = f[src, self._solutionType, iky]
|
||||
ky = self.kys[iky]
|
||||
AT = self.getA(ky)
|
||||
PTv = rx.evalDeriv(ky, src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m
|
||||
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_duT, df_dmT = df_duTFun(iky, src, None, PTv, adjoint=True)
|
||||
|
||||
ATinvdf_duT = self.Ainv[iky] * df_duT
|
||||
|
||||
dA_dmT = self.getADeriv(ky, u_src, ATinvdf_duT, adjoint=True)
|
||||
dRHS_dmT = self.getRHSDeriv(ky, src, ATinvdf_duT, adjoint=True)
|
||||
du_dmT = -dA_dmT + dRHS_dmT
|
||||
Jtv_temp1 = 1./np.pi*(df_dmT + du_dmT).astype(float)
|
||||
# Trapezoidal intergration
|
||||
if iky==0:
|
||||
#First assigment
|
||||
Jtv += Jtv_temp1*dky[iky]*np.cos(ky*y)
|
||||
else:
|
||||
Jtv += Jtv_temp1*dky[iky]/2.*np.cos(ky*y)
|
||||
Jtv += Jtv_temp0*dky[iky]/2.*np.cos(ky*y)
|
||||
Jtv_temp0 = Jtv_temp1.copy()
|
||||
return Utils.mkvc(Jtv)
|
||||
|
||||
def getSourceTerm(self, ky):
|
||||
"""
|
||||
takes concept of source and turns it into a matrix
|
||||
"""
|
||||
"""
|
||||
Evaluates the sources, and puts them in matrix form
|
||||
|
||||
:rtype: (numpy.ndarray, numpy.ndarray)
|
||||
:return: q (nC or nN, nSrc)
|
||||
"""
|
||||
|
||||
Srcs = self.survey.srcList
|
||||
|
||||
if self._formulation is 'EB':
|
||||
n = self.mesh.nN
|
||||
# return NotImplementedError
|
||||
|
||||
elif self._formulation is 'HJ':
|
||||
n = self.mesh.nC
|
||||
|
||||
q = np.zeros((n, len(Srcs)))
|
||||
|
||||
for i, src in enumerate(Srcs):
|
||||
q[:,i] = src.eval(self)
|
||||
return q
|
||||
|
||||
class Problem2D_CC(BaseDCProblem_2D):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'HJ' # CC potentials means J is on faces
|
||||
fieldsPair = Fields_ky_CC
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseDCProblem_2D.__init__(self, mesh, **kwargs)
|
||||
self.setBC()
|
||||
|
||||
def getA(self, ky):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = D MfRhoI G
|
||||
|
||||
"""
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
vol = self.mesh.vol
|
||||
MfRhoI = self.MfRhoI
|
||||
# Get resistivity rho
|
||||
rho = self.curModel.rho
|
||||
A = D * MfRhoI * G + Utils.sdiag(ky**2*vol/rho)
|
||||
return A
|
||||
|
||||
def getADeriv(self, ky, u, v, adjoint= False):
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
vol = self.mesh.vol
|
||||
MfRhoIDeriv = self.MfRhoIDeriv
|
||||
rho = self.curModel.rho
|
||||
if adjoint:
|
||||
return(MfRhoIDeriv( G * u ).T) * ( D.T * v) + ky**2*Utils.sdiag(u.flatten()*vol*(-1./rho**2))*v
|
||||
return D * ((MfRhoIDeriv( G * u )) * v) + ky**2*Utils.sdiag(u.flatten()*vol*(-1./rho**2))*v
|
||||
|
||||
def getRHS(self, ky):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm(ky)
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, ky, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, ky, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
def setBC(self):
|
||||
if self.mesh.dim==3:
|
||||
fxm,fxp,fym,fyp,fzm,fzp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
gBFzm = self.mesh.gridFz[fzm,:]
|
||||
gBFzp = self.mesh.gridFz[fzp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
temp_zm, temp_zp = np.ones_like(gBFzm[:,2]), np.ones_like(gBFzp[:,2])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
alpha_zm, alpha_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
beta_zm, beta_zp = temp_zm, temp_zp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
gamma_zm, gamma_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp, alpha_zm, alpha_zp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp, beta_zm, beta_zp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp, gamma_zm, gamma_zp]
|
||||
|
||||
elif self.mesh.dim==2:
|
||||
|
||||
fxm,fxp,fym,fyp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp]
|
||||
|
||||
x_BC, y_BC = getxBCyBC_CC(self.mesh, alpha, beta, gamma)
|
||||
V = self.Vol
|
||||
self.Div = V * self.mesh.faceDiv
|
||||
P_BC, B = self.mesh.getBCProjWF_simple()
|
||||
M = B*self.mesh.aveCC2F
|
||||
self.Grad = self.Div.T - P_BC*Utils.sdiag(y_BC)*M
|
||||
|
||||
class Problem2D_N(BaseDCProblem_2D):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'EB' # CC potentials means J is on faces
|
||||
fieldsPair = Fields_ky_N
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseDCProblem_2D.__init__(self, mesh, **kwargs)
|
||||
# self.setBC()
|
||||
|
||||
@property
|
||||
def MnSigma(self):
|
||||
"""
|
||||
Node inner product matrix for \\(\\sigma\\). Used in the E-B formulation
|
||||
"""
|
||||
# TODO: only works isotropic sigma
|
||||
sigma = self.curModel.sigma
|
||||
vol = self.mesh.vol
|
||||
MnSigma = Utils.sdiag(self.mesh.aveN2CC.T*(Utils.sdiag(vol)*sigma))
|
||||
|
||||
return MnSigma
|
||||
|
||||
def MnSigmaDeriv(self, u):
|
||||
"""
|
||||
Derivative of MnSigma with respect to the model
|
||||
"""
|
||||
sigma = self.curModel.sigma
|
||||
sigmaderiv = self.curModel.sigmaDeriv
|
||||
vol = self.mesh.vol
|
||||
return Utils.sdiag(u)*self.mesh.aveN2CC.T*Utils.sdiag(vol) * self.curModel.sigmaDeriv
|
||||
|
||||
def getA(self, ky):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = D MfRhoI G
|
||||
|
||||
"""
|
||||
|
||||
MeSigma = self.MeSigma
|
||||
MnSigma = self.MnSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
# Get conductivity sigma
|
||||
sigma = self.curModel.sigma
|
||||
A = Grad.T * MeSigma * Grad + ky**2*MnSigma
|
||||
|
||||
# Handling Null space of A
|
||||
A[0,0] = A[0,0] + 1.
|
||||
return A
|
||||
|
||||
def getADeriv(self, ky, u, v, adjoint= False):
|
||||
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
sigma = self.curModel.sigma
|
||||
vol = self.mesh.vol
|
||||
|
||||
if adjoint:
|
||||
return self.MeSigmaDeriv(Grad*u).T * (Grad*v) + ky**2*self.MnSigmaDeriv(u).T*v
|
||||
return Grad.T*(self.MeSigmaDeriv(Grad*u)*v) + ky**2*self.MnSigmaDeriv(u)*v
|
||||
|
||||
def getRHS(self, ky):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm(ky)
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, ky, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, ky, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
@@ -1,136 +0,0 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
import SimPEG
|
||||
import numpy as np
|
||||
from SimPEG.Utils import Zero, closestPoints
|
||||
|
||||
class BaseRx(SimPEG.Survey.BaseRx):
|
||||
locs = None
|
||||
rxType = None
|
||||
|
||||
knownRxTypes = {
|
||||
'phi':['phi',None],
|
||||
'ex':['e','x'],
|
||||
'ey':['e','y'],
|
||||
'ez':['e','z'],
|
||||
'jx':['j','x'],
|
||||
'jy':['j','y'],
|
||||
'jz':['j','z'],
|
||||
}
|
||||
|
||||
def __init__(self, locs, rxType, **kwargs):
|
||||
SimPEG.Survey.BaseRx.__init__(self, locs, rxType, **kwargs)
|
||||
|
||||
|
||||
@property
|
||||
def projField(self):
|
||||
"""Field Type projection (e.g. e b ...)"""
|
||||
return self.knownRxTypes[self.rxType][0]
|
||||
|
||||
def projGLoc(self, f):
|
||||
"""Grid Location projection (e.g. Ex Fy ...)"""
|
||||
comp = self.knownRxTypes[self.rxType][1]
|
||||
if comp is not None:
|
||||
return f._GLoc(self.rxType) + comp
|
||||
return f._GLoc(self.rxType)
|
||||
|
||||
def eval(self, src, mesh, f):
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
return P*f[src, self.projField]
|
||||
|
||||
def evalDeriv(self, src, mesh, f, v, adjoint=False):
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
if not adjoint:
|
||||
return P*v
|
||||
elif adjoint:
|
||||
return P.T*v
|
||||
|
||||
# DC.Rx.Dipole(locs)
|
||||
class Dipole(BaseRx):
|
||||
|
||||
def __init__(self, locsM, locsN, rxType = 'phi', **kwargs):
|
||||
assert locsM.shape == locsN.shape, 'locsM and locsN need to be the same size'
|
||||
locs = [locsM, locsN]
|
||||
# We may not need this ...
|
||||
BaseRx.__init__(self, locs, rxType)
|
||||
|
||||
@property
|
||||
def nD(self):
|
||||
"""Number of data in the receiver."""
|
||||
return self.locs[0].shape[0]
|
||||
|
||||
# Not sure why ...
|
||||
# return int(self.locs[0].size / 2)
|
||||
|
||||
|
||||
def getP(self, mesh, Gloc):
|
||||
if mesh in self._Ps:
|
||||
return self._Ps[mesh]
|
||||
|
||||
P0 = mesh.getInterpolationMat(self.locs[0], Gloc)
|
||||
P1 = mesh.getInterpolationMat(self.locs[1], Gloc)
|
||||
P = P0 - P1
|
||||
|
||||
if self.storeProjections:
|
||||
self._Ps[mesh] = P
|
||||
|
||||
return P
|
||||
|
||||
|
||||
class Dipole_ky(BaseRx):
|
||||
|
||||
def __init__(self, locsM, locsN, rxType = 'phi', **kwargs):
|
||||
assert locsM.shape == locsN.shape, 'locsM and locsN need to be the same size'
|
||||
locs = [locsM, locsN]
|
||||
# We may not need this ...
|
||||
BaseRx.__init__(self, locs, rxType)
|
||||
|
||||
@property
|
||||
def nD(self):
|
||||
"""Number of data in the receiver."""
|
||||
return self.locs[0].shape[0]
|
||||
|
||||
# Not sure why ...
|
||||
# return int(self.locs[0].size / 2)
|
||||
|
||||
def getP(self, mesh, Gloc):
|
||||
if mesh in self._Ps:
|
||||
return self._Ps[mesh]
|
||||
|
||||
P0 = mesh.getInterpolationMat(self.locs[0], Gloc)
|
||||
P1 = mesh.getInterpolationMat(self.locs[1], Gloc)
|
||||
P = P0 - P1
|
||||
if self.storeProjections:
|
||||
self._Ps[mesh] = P
|
||||
return P
|
||||
|
||||
def eval(self, kys, src, mesh, f):
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
Pf = P*f[src, self.projField,:]
|
||||
return self.IntTrapezoidal(kys, Pf, y=0.)
|
||||
|
||||
def evalDeriv(self, ky, src, mesh, f, v, adjoint=False):
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
if not adjoint:
|
||||
return P*v
|
||||
elif adjoint:
|
||||
return P.T*v
|
||||
|
||||
def IntTrapezoidal(self, kys, Pf, y=0.):
|
||||
phi = np.zeros(Pf.shape[0])
|
||||
nky = kys.size
|
||||
dky = np.diff(kys)
|
||||
dky = np.r_[dky[0], dky]
|
||||
phi0 = 1./np.pi*Pf[:,0]
|
||||
for iky in range(nky):
|
||||
phi1 = 1./np.pi*Pf[:,iky]
|
||||
phi += phi1*dky[iky]/2.*np.cos(kys[iky]*y)
|
||||
phi += phi0*dky[iky]/2.*np.cos(kys[iky]*y)
|
||||
phi0 = phi1.copy()
|
||||
return phi
|
||||
|
||||
@@ -1,92 +0,0 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import SimPEG
|
||||
# from SimPEG.EM.Base import BaseEMSurvey
|
||||
from SimPEG.Utils import Zero, closestPoints, mkvc
|
||||
import numpy as np
|
||||
|
||||
class BaseSrc(SimPEG.Survey.BaseSrc):
|
||||
|
||||
current = 1.0
|
||||
loc = None
|
||||
|
||||
def __init__(self, rxList, **kwargs):
|
||||
SimPEG.Survey.BaseSrc.__init__(self, rxList, **kwargs)
|
||||
|
||||
def eval(self, prob):
|
||||
raise NotImplementedError
|
||||
|
||||
def evalDeriv(self, prob):
|
||||
return Zero()
|
||||
|
||||
|
||||
class Dipole(BaseSrc):
|
||||
|
||||
def __init__(self, rxList, locA, locB, **kwargs):
|
||||
assert locA.shape == locB.shape, 'Shape of locA and locB should be the same'
|
||||
self.loc = [locA, locB]
|
||||
BaseSrc.__init__(self, rxList, **kwargs)
|
||||
|
||||
def eval(self, prob):
|
||||
if prob._formulation == 'HJ':
|
||||
inds = closestPoints(prob.mesh, self.loc, gridLoc='CC')
|
||||
q = np.zeros(prob.mesh.nC)
|
||||
q[inds] = self.current * np.r_[1., -1.]
|
||||
elif prob._formulation == 'EB':
|
||||
qa = prob.mesh.getInterpolationMat(self.loc[0], locType='N').todense()
|
||||
qb = -prob.mesh.getInterpolationMat(self.loc[1], locType='N').todense()
|
||||
q = self.current * mkvc(qa+qb)
|
||||
return q
|
||||
|
||||
class Pole(BaseSrc):
|
||||
|
||||
def __init__(self, rxList, loc, **kwargs):
|
||||
BaseSrc.__init__(self, rxList, loc=loc, **kwargs)
|
||||
|
||||
def eval(self, prob):
|
||||
if prob._formulation == 'HJ':
|
||||
inds = closestPoints(prob.mesh, self.loc)
|
||||
q = np.zeros(prob.mesh.nC)
|
||||
q[inds] = self.current * np.r_[1.]
|
||||
elif prob._formulation == 'EB':
|
||||
q = prob.mesh.getInterpolationMat(self.loc, locType='N').todense()
|
||||
q = self.current * mkvc(q)
|
||||
return q
|
||||
|
||||
|
||||
# class Dipole_ky(BaseSrc):
|
||||
|
||||
# def __init__(self, rxList, locA, locB, **kwargs):
|
||||
# assert locA.shape == locB.shape, 'Shape of locA and locB should be the same'
|
||||
# self.loc = [locA[[0,2]], locB[[0,2]]]
|
||||
# BaseSrc.__init__(self, rxList, **kwargs)
|
||||
|
||||
# def eval(self, prob):
|
||||
# if prob._formulation == 'HJ':
|
||||
# inds = closestPoints(prob.mesh, self.loc, gridLoc='CC')
|
||||
# q = np.zeros(prob.mesh.nC)
|
||||
# q[inds] = self.current * np.r_[1., -1.]
|
||||
# elif prob._formulation == 'EB':
|
||||
# qa = prob.mesh.getInterpolationMat(self.loc[0], locType='N').todense()
|
||||
# qb = -prob.mesh.getInterpolationMat(self.loc[1], locType='N').todense()
|
||||
# q = self.current * mkvc(qa+qb)
|
||||
# return q
|
||||
|
||||
# class Pole_ky(BaseSrc):
|
||||
|
||||
# def __init__(self, rxList, loc, **kwargs):
|
||||
# BaseSrc.__init__(self, rxList, loc=loc, **kwargs)
|
||||
|
||||
# def eval(self, prob):
|
||||
# if prob._formulation == 'HJ':
|
||||
# inds = closestPoints(prob.mesh, self.loc[[0,2]])
|
||||
# q = np.zeros(prob.mesh.nC)
|
||||
# q[inds] = self.current * np.r_[1.]
|
||||
# elif prob._formulation == 'EB':
|
||||
# q = prob.mesh.getInterpolationMat(self.loc[[0,2]], locType='N').todense()
|
||||
# q = self.current * mkvc(q)
|
||||
# return q
|
||||
@@ -1,44 +0,0 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
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
|
||||
|
||||
class Survey(BaseEMSurvey):
|
||||
rxPair = BaseRx
|
||||
srcPair = BaseSrc
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
self.srcList = srcList
|
||||
BaseEMSurvey.__init__(self, srcList, **kwargs)
|
||||
|
||||
class Survey_ky(BaseEMSurvey):
|
||||
rxPair = BaseRx
|
||||
srcPair = BaseSrc
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
self.srcList = srcList
|
||||
BaseEMSurvey.__init__(self, srcList, **kwargs)
|
||||
|
||||
def eval(self, f):
|
||||
"""
|
||||
Project fields to receiver locations
|
||||
:param Fields u: fields object
|
||||
:rtype: numpy.ndarray
|
||||
:return: data
|
||||
"""
|
||||
data = SimPEG.Survey.Data(self)
|
||||
kys = self.prob.kys
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
data[src, rx] = rx.eval(kys, src, self.mesh, f)
|
||||
return data
|
||||
|
||||
|
||||
@@ -1,45 +0,0 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
import numpy as np
|
||||
|
||||
def WennerSrcList(nElecs, aSpacing, in2D=False, plotIt=False):
|
||||
|
||||
import SimPEG.EM.Static.DC as DC
|
||||
|
||||
elocs = np.arange(0,aSpacing*nElecs,aSpacing)
|
||||
elocs -= (nElecs*aSpacing - aSpacing)/2
|
||||
space = 1
|
||||
WENNER = np.zeros((0,),dtype=int)
|
||||
for ii in range(nElecs):
|
||||
for jj in range(nElecs):
|
||||
test = np.r_[jj,jj+space,jj+space*2,jj+space*3]
|
||||
if np.any(test >= nElecs):
|
||||
break
|
||||
WENNER = np.r_[WENNER, test]
|
||||
space += 1
|
||||
WENNER = WENNER.reshape((-1,4))
|
||||
|
||||
|
||||
if plotIt:
|
||||
for i, s in enumerate('rbkg'):
|
||||
plt.plot(elocs[WENNER[:,i]],s+'.')
|
||||
plt.show()
|
||||
|
||||
# Create sources and receivers
|
||||
i = 0
|
||||
if in2D:
|
||||
getLoc = lambda ii, abmn: np.r_[elocs[WENNER[ii,abmn]],0]
|
||||
else:
|
||||
getLoc = lambda ii, abmn: np.r_[elocs[WENNER[ii,abmn]],0, 0]
|
||||
srcList = []
|
||||
for i in range(WENNER.shape[0]):
|
||||
rx = DC.Rx.Dipole(getLoc(i,1).reshape([1,-1]),getLoc(i,2).reshape([1,-1]))
|
||||
src = DC.Src.Dipole([rx], getLoc(i,0),getLoc(i,3))
|
||||
srcList += [src]
|
||||
|
||||
return srcList
|
||||
@@ -1,14 +0,0 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .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
|
||||
@@ -1,378 +0,0 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import Problem, Utils, Maps, Mesh
|
||||
from SimPEG.EM.Base import BaseEMProblem
|
||||
from SimPEG.EM.Static.DC.FieldsDC import Fields, Fields_CC, Fields_N
|
||||
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
|
||||
|
||||
class IPPropMap(Maps.PropMap):
|
||||
"""
|
||||
Property Map for IP Problems. The electrical chargeability,
|
||||
(\\(\\eta\\)) is the default inversion property
|
||||
"""
|
||||
eta = Maps.Property("Electrical Chargeability", defaultInvProp = True)
|
||||
|
||||
class BaseIPProblem(BaseEMProblem):
|
||||
|
||||
surveyPair = Survey
|
||||
fieldsPair = Fields
|
||||
PropMap = IPPropMap
|
||||
Ainv = None
|
||||
sigma = None
|
||||
rho = None
|
||||
f = None
|
||||
Ainv = None
|
||||
|
||||
def fields(self, m):
|
||||
self.curModel = m
|
||||
if self.f is None:
|
||||
self.f = self.fieldsPair(self.mesh, self.survey)
|
||||
if self.Ainv == None:
|
||||
A = self.getA()
|
||||
self.Ainv = self.Solver(A, **self.solverOpts)
|
||||
RHS = self.getRHS()
|
||||
u = self.Ainv * RHS
|
||||
Srcs = self.survey.srcList
|
||||
self.f[Srcs, self._solutionType] = u
|
||||
return self.f
|
||||
|
||||
def Jvec(self, m, v, f=None):
|
||||
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
self.curModel = m
|
||||
|
||||
Jv = self.dataPair(self.survey) #same size as the data
|
||||
|
||||
A = self.getA()
|
||||
|
||||
for src in self.survey.srcList:
|
||||
u_src = f[src, self._solutionType] # solution vector
|
||||
dA_dm_v = self.getADeriv(u_src, v)
|
||||
dRHS_dm_v = self.getRHSDeriv(src, v)
|
||||
du_dm_v = self.Ainv * ( - dA_dm_v + dRHS_dm_v )
|
||||
|
||||
for rx in src.rxList:
|
||||
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_dm_v = df_dmFun(src, du_dm_v, v, adjoint=False)
|
||||
Jv[src, rx] = rx.evalDeriv(src, self.mesh, f, df_dm_v)
|
||||
# Conductivity (d u / d log sigma)
|
||||
if self._formulation is 'EB':
|
||||
return -Utils.mkvc(Jv)
|
||||
# Conductivity (d u / d log rho)
|
||||
if self._formulation is 'HJ':
|
||||
return Utils.mkvc(Jv)
|
||||
|
||||
def Jtvec(self, m, v, f=None):
|
||||
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)
|
||||
AT = self.getA()
|
||||
|
||||
for src in self.survey.srcList:
|
||||
u_src = f[src, self._solutionType]
|
||||
for rx in src.rxList:
|
||||
PTv = rx.evalDeriv(src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m
|
||||
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_duT, df_dmT = df_duTFun(src, None, PTv, adjoint=True)
|
||||
ATinvdf_duT = self.Ainv * df_duT
|
||||
dA_dmT = self.getADeriv(u_src, ATinvdf_duT, adjoint=True)
|
||||
dRHS_dmT = self.getRHSDeriv(src, ATinvdf_duT, adjoint=True)
|
||||
du_dmT = -dA_dmT + dRHS_dmT
|
||||
Jtv += (df_dmT + du_dmT).astype(float)
|
||||
# Conductivity ((d u / d log sigma).T)
|
||||
if self._formulation is 'EB':
|
||||
return -Utils.mkvc(Jtv)
|
||||
# Conductivity ((d u / d log rho).T)
|
||||
if self._formulation is 'HJ':
|
||||
return Utils.mkvc(Jtv)
|
||||
|
||||
def getSourceTerm(self):
|
||||
"""
|
||||
takes concept of source and turns it into a matrix
|
||||
"""
|
||||
"""
|
||||
Evaluates the sources, and puts them in matrix form
|
||||
|
||||
:rtype: (numpy.ndarray, numpy.ndarray)
|
||||
:return: q (nC or nN, nSrc)
|
||||
"""
|
||||
|
||||
Srcs = self.survey.srcList
|
||||
|
||||
if self._formulation is 'EB':
|
||||
n = self.mesh.nN
|
||||
# return NotImplementedError
|
||||
|
||||
elif self._formulation is 'HJ':
|
||||
n = self.mesh.nC
|
||||
|
||||
q = np.zeros((n, len(Srcs)))
|
||||
|
||||
for i, src in enumerate(Srcs):
|
||||
q[:,i] = src.eval(self)
|
||||
return q
|
||||
|
||||
@property
|
||||
def deleteTheseOnModelUpdate(self):
|
||||
toDelete = []
|
||||
return toDelete
|
||||
|
||||
# assume log rho or log cond
|
||||
@property
|
||||
def MeSigma(self):
|
||||
"""
|
||||
Edge inner product matrix for \\(\\sigma\\). Used in the E-B formulation
|
||||
"""
|
||||
if getattr(self, '_MeSigma', None) is None:
|
||||
self._MeSigma = self.mesh.getEdgeInnerProduct(self.sigma)
|
||||
return self._MeSigma
|
||||
|
||||
@property
|
||||
def MfRhoI(self):
|
||||
"""
|
||||
Inverse of :code:`MfRho`
|
||||
"""
|
||||
if getattr(self, '_MfRhoI', None) is None:
|
||||
self._MfRhoI = self.mesh.getFaceInnerProduct(self.rho, invMat=True)
|
||||
return self._MfRhoI
|
||||
|
||||
def MfRhoIDeriv(self,u):
|
||||
"""
|
||||
Derivative of :code:`MfRhoI` with respect to the model.
|
||||
"""
|
||||
|
||||
dMfRhoI_dI = -self.MfRhoI**2
|
||||
dMf_drho = self.mesh.getFaceInnerProductDeriv(self.rho)(u)
|
||||
drho_dlogrho = Utils.sdiag(self.rho)*self.curModel.etaDeriv
|
||||
return dMfRhoI_dI * ( dMf_drho * ( drho_dlogrho))
|
||||
|
||||
# TODO: This should take a vector
|
||||
def MeSigmaDeriv(self, u):
|
||||
"""
|
||||
Derivative of MeSigma with respect to the model
|
||||
"""
|
||||
dsigma_dlogsigma = Utils.sdiag(self.sigma)*self.curModel.etaDeriv
|
||||
return self.mesh.getEdgeInnerProductDeriv(self.sigma)(u) * dsigma_dlogsigma
|
||||
|
||||
class Problem3D_CC(BaseIPProblem):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'HJ' # CC potentials means J is on faces
|
||||
fieldsPair = Fields_CC
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseIPProblem.__init__(self, mesh, **kwargs)
|
||||
self.setBC()
|
||||
|
||||
def getA(self):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = D MfRhoI G
|
||||
|
||||
"""
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
MfRhoI = self.MfRhoI
|
||||
A = D * MfRhoI * G
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return V.T * A
|
||||
return A
|
||||
|
||||
def getADeriv(self, u, v, adjoint= False):
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
MfRhoIDeriv = self.MfRhoIDeriv
|
||||
|
||||
if adjoint:
|
||||
# if self._makeASymmetric is True:
|
||||
# v = V * v
|
||||
return(MfRhoIDeriv( G * u ).T) * ( D.T * v)
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return V.T * ( D * ( MfRhoIDeriv( D.T * ( V * u ) ) * v ) )
|
||||
return D * (MfRhoIDeriv( G * u ) * v)
|
||||
|
||||
def getRHS(self):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm()
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return self.Vol.T * RHS
|
||||
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
def setBC(self):
|
||||
if self.mesh.dim==3:
|
||||
fxm,fxp,fym,fyp,fzm,fzp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
gBFzm = self.mesh.gridFz[fzm,:]
|
||||
gBFzp = self.mesh.gridFz[fzp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
temp_zm, temp_zp = np.ones_like(gBFzm[:,2]), np.ones_like(gBFzp[:,2])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
alpha_zm, alpha_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
beta_zm, beta_zp = temp_zm, temp_zp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
gamma_zm, gamma_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp, alpha_zm, alpha_zp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp, beta_zm, beta_zp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp, gamma_zm, gamma_zp]
|
||||
|
||||
elif self.mesh.dim==2:
|
||||
|
||||
fxm,fxp,fym,fyp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp]
|
||||
|
||||
x_BC, y_BC = getxBCyBC_CC(self.mesh, alpha, beta, gamma)
|
||||
V = self.Vol
|
||||
self.Div = V * self.mesh.faceDiv
|
||||
P_BC, B = self.mesh.getBCProjWF_simple()
|
||||
M = B*self.mesh.aveCC2F
|
||||
self.Grad = self.Div.T - P_BC*Utils.sdiag(y_BC)*M
|
||||
|
||||
|
||||
class Problem3D_N(BaseIPProblem):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'EB' # N potentials means B is on faces
|
||||
fieldsPair = Fields_N
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseIPProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
def getA(self):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = G.T MeSigma G
|
||||
|
||||
"""
|
||||
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
A = Grad.T * MeSigma * Grad
|
||||
|
||||
# Handling Null space of A
|
||||
A[0,0] = A[0,0] + 1.
|
||||
|
||||
return A
|
||||
|
||||
def getADeriv(self, u, v, adjoint=False):
|
||||
"""
|
||||
|
||||
Product of the derivative of our system matrix with respect to the model and a vector
|
||||
|
||||
"""
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
if not adjoint:
|
||||
return Grad.T*(self.MeSigmaDeriv(Grad*u)*v)
|
||||
elif adjoint:
|
||||
return self.MeSigmaDeriv(Grad*u).T * (Grad*v)
|
||||
|
||||
|
||||
def getRHS(self):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm()
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
if __name__ == '__main__':
|
||||
|
||||
|
||||
cs = 12.5
|
||||
hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
|
||||
hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
|
||||
hz = [(cs,7, -1.3),(cs,20)]
|
||||
mesh = Mesh.TensorMesh([hx, hy, hz],x0="CCN")
|
||||
sigma = np.ones(mesh.nC)
|
||||
prob = BaseIPProblem(mesh, sigma=sigma)
|
||||
|
||||
|
||||
@@ -1,29 +0,0 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import SimPEG
|
||||
from SimPEG.EM.Base import BaseEMSurvey
|
||||
from SimPEG import sp, Survey
|
||||
from SimPEG.Utils import Zero, Identity
|
||||
from SimPEG.EM.Static.DC.SrcDC import BaseSrc
|
||||
from SimPEG.EM.Static.DC.RxDC import BaseRx
|
||||
|
||||
class Survey(BaseEMSurvey):
|
||||
rxPair = BaseRx
|
||||
srcPair = BaseSrc
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
self.srcList = srcList
|
||||
BaseEMSurvey.__init__(self, srcList, **kwargs)
|
||||
|
||||
def dpred(self, m, f=None):
|
||||
"""
|
||||
Predicted data.
|
||||
|
||||
.. math::
|
||||
d_\\text{pred} = Pf(m)
|
||||
"""
|
||||
return self.prob.Jvec(m, m, f=f)
|
||||
@@ -1,8 +0,0 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .ProblemIP import Problem3D_CC, Problem3D_N
|
||||
from .SurveyIP import Survey
|
||||
@@ -1,453 +0,0 @@
|
||||
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
|
||||
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
|
||||
|
||||
class ColeColePropMap(Maps.PropMap):
|
||||
"""
|
||||
Property Map for EM Problems. The electrical conductivity (\\(\\sigma\\)) is the default inversion property, and the default value of the magnetic permeability is that of free space (\\(\\mu = 4\\pi\\times 10^{-7} \\) H/m)
|
||||
"""
|
||||
|
||||
eta = Maps.Property("Electrical Conductivity", defaultInvProp=True)
|
||||
tau = Maps.Property("Electrical Conductivity", defaultVal=0.1, propertyLink=('taui', Maps.ReciprocalMap))
|
||||
taui = Maps.Property("Electrical Conductivity", defaultVal=1., propertyLink=('tau', Maps.ReciprocalMap))
|
||||
c = Maps.Property("Electrical Conductivity", defaultVal=1.)
|
||||
|
||||
|
||||
class BaseSIPProblem(BaseEMProblem):
|
||||
|
||||
surveyPair = Survey
|
||||
fieldsPair = Fields
|
||||
dataPair = Data
|
||||
PropMap = ColeColePropMap
|
||||
Ainv = None
|
||||
sigma = None
|
||||
rho = None
|
||||
f = None
|
||||
Ainv = None
|
||||
|
||||
def DebyeTime(self, t):
|
||||
peta = self.curModel.eta*np.exp(-self.curModel.taui*t)
|
||||
return peta
|
||||
|
||||
def EtaDeriv(self, t, v, adjoint=False):
|
||||
v = np.array(v, dtype=float)
|
||||
if adjoint:
|
||||
return self.curModel.etaDeriv.T * (np.exp(-self.curModel.taui*t)*v)
|
||||
else:
|
||||
return np.exp(-self.curModel.taui*t) * (self.curModel.etaDeriv*v)
|
||||
|
||||
|
||||
def TauiDeriv(self, t, v, adjoint=False):
|
||||
v = np.array(v, dtype=float)
|
||||
if adjoint:
|
||||
return -self.curModel.tauiDeriv.T * (self.curModel.eta*t*np.exp(-self.curModel.taui*t)*v)
|
||||
else:
|
||||
return -self.curModel.eta*t*np.exp(-self.curModel.taui*t) * (self.curModel.tauiDeriv*v)
|
||||
|
||||
def fields(self, m):
|
||||
self.curModel = m
|
||||
if self.f is None:
|
||||
self.f = self.fieldsPair(self.mesh, self.survey)
|
||||
if self.Ainv == None:
|
||||
A = self.getA()
|
||||
self.Ainv = self.Solver(A, **self.solverOpts)
|
||||
RHS = self.getRHS()
|
||||
u = self.Ainv * RHS
|
||||
Srcs = self.survey.srcList
|
||||
self.f[Srcs, self._solutionType] = u
|
||||
return self.f
|
||||
|
||||
def forward(self, m, f=None):
|
||||
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
self.curModel = m
|
||||
Jv = self.dataPair(self.survey) #same size as the data
|
||||
# A = self.getA()
|
||||
JvAll = []
|
||||
for tind in range(len(self.survey.times)):
|
||||
#Pseudo-chareability
|
||||
t = self.survey.times[tind]
|
||||
v = self.DebyeTime(t)
|
||||
for src in self.survey.srcList:
|
||||
u_src = f[src, self._solutionType] # solution vector
|
||||
dA_dm_v = self.getADeriv(u_src, v)
|
||||
dRHS_dm_v = self.getRHSDeriv(src, v)
|
||||
du_dm_v = self.Ainv * ( - dA_dm_v + dRHS_dm_v )
|
||||
for rx in src.rxList:
|
||||
timeindex = rx.getTimeP(self.survey.times)
|
||||
if timeindex[tind]:
|
||||
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_dm_v = df_dmFun(src, du_dm_v, v, adjoint=False)
|
||||
Jv[src, rx, t] = rx.evalDeriv(src, self.mesh, f, df_dm_v)
|
||||
|
||||
# Conductivity (d u / d log sigma)
|
||||
if self._formulation is 'EB':
|
||||
return -Utils.mkvc(Jv)
|
||||
# Resistivity (d u / d log rho)
|
||||
if self._formulation is 'HJ':
|
||||
return Utils.mkvc(Jv)
|
||||
|
||||
def Jvec(self, m, v, f=None):
|
||||
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
self.curModel = m
|
||||
Jv = self.dataPair(self.survey) #same size as the data
|
||||
# A = self.getA()
|
||||
JvAll = []
|
||||
#Assume only eta and tau (eta first then tau)
|
||||
# v = [2*Mx1]
|
||||
v = v.reshape((v.size//2), 2), order='F')
|
||||
|
||||
for tind in range(len(self.survey.times)):
|
||||
t = self.survey.times[tind]
|
||||
v0 = self.EtaDeriv(t, v[:,0])
|
||||
v1 = self.TauiDeriv(t, v[:,1])
|
||||
for src in self.survey.srcList:
|
||||
u_src = f[src, self._solutionType] # solution vector
|
||||
dA_dm_v0 = self.getADeriv(u_src, v0)
|
||||
dRHS_dm_v0 = self.getRHSDeriv(src, v0)
|
||||
du_dm_v0 = self.Ainv * ( - dA_dm_v0 + dRHS_dm_v0 )
|
||||
dA_dm_v1 = self.getADeriv(u_src, v1)
|
||||
dRHS_dm_v1 = self.getRHSDeriv(src, v1)
|
||||
du_dm_v1 = self.Ainv * ( - dA_dm_v1 + dRHS_dm_v1 )
|
||||
for rx in src.rxList:
|
||||
timeindex = rx.getTimeP(self.survey.times)
|
||||
if timeindex[tind]:
|
||||
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_dm_v0 = df_dmFun(src, du_dm_v0, v0, adjoint=False)
|
||||
df_dm_v1 = df_dmFun(src, du_dm_v1, v1, adjoint=False)
|
||||
Jv[src, rx, t] = rx.evalDeriv(src, self.mesh, f, df_dm_v0)
|
||||
Jv[src, rx, t] += rx.evalDeriv(src, self.mesh, f, df_dm_v1)
|
||||
# Conductivity (d u / d log sigma)
|
||||
if self._formulation is 'EB':
|
||||
return -Jv.tovec()
|
||||
# Resistivity (d u / d log rho)
|
||||
if self._formulation is 'HJ':
|
||||
return Jv.tovec()
|
||||
|
||||
def Jtvec(self, m, v, f=None):
|
||||
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 tind in range(len(self.survey.times)):
|
||||
t = self.survey.times[tind]
|
||||
for src in self.survey.srcList:
|
||||
u_src = f[src, self._solutionType]
|
||||
for rx in src.rxList:
|
||||
timeindex = rx.getTimeP(self.survey.times)
|
||||
if timeindex[tind]:
|
||||
PTv = rx.evalDeriv(src, self.mesh, f, v[src, rx, t], adjoint=True) # wrt f, need possibility wrt m
|
||||
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_duT, df_dmT = df_duTFun(src, None, PTv, adjoint=True)
|
||||
ATinvdf_duT = self.Ainv * df_duT
|
||||
dA_dmT = self.getADeriv(u_src, ATinvdf_duT, adjoint=True)
|
||||
dRHS_dmT = self.getRHSDeriv(src, ATinvdf_duT, adjoint=True)
|
||||
du_dmT = -dA_dmT + dRHS_dmT
|
||||
Jtv += np.r_[self.EtaDeriv(self.survey.times[tind], du_dmT, adjoint=True), self.TauiDeriv(self.survey.times[tind], du_dmT, adjoint=True)]
|
||||
|
||||
# Conductivity ((d u / d log sigma).T)
|
||||
if self._formulation is 'EB':
|
||||
return -Jtv
|
||||
# Conductivity ((d u / d log rho).T)
|
||||
if self._formulation is 'HJ':
|
||||
return Jtv
|
||||
|
||||
def getSourceTerm(self):
|
||||
"""
|
||||
takes concept of source and turns it into a matrix
|
||||
"""
|
||||
"""
|
||||
Evaluates the sources, and puts them in matrix form
|
||||
|
||||
:rtype: (numpy.ndarray, numpy.ndarray)
|
||||
:return: q (nC or nN, nSrc)
|
||||
"""
|
||||
|
||||
Srcs = self.survey.srcList
|
||||
|
||||
if self._formulation is 'EB':
|
||||
n = self.mesh.nN
|
||||
# return NotImplementedError
|
||||
|
||||
elif self._formulation is 'HJ':
|
||||
n = self.mesh.nC
|
||||
|
||||
q = np.zeros((n, len(Srcs)))
|
||||
|
||||
for i, src in enumerate(Srcs):
|
||||
q[:,i] = src.eval(self)
|
||||
return q
|
||||
|
||||
@property
|
||||
def deleteTheseOnModelUpdate(self):
|
||||
toDelete = []
|
||||
return toDelete
|
||||
|
||||
# assume log rho or log cond
|
||||
@property
|
||||
def MeSigma(self):
|
||||
"""
|
||||
Edge inner product matrix for \\(\\sigma\\). Used in the E-B formulation
|
||||
"""
|
||||
if getattr(self, '_MeSigma', None) is None:
|
||||
self._MeSigma = self.mesh.getEdgeInnerProduct(self.sigma)
|
||||
return self._MeSigma
|
||||
|
||||
@property
|
||||
def MfRhoI(self):
|
||||
"""
|
||||
Inverse of :code:`MfRho`
|
||||
"""
|
||||
if getattr(self, '_MfRhoI', None) is None:
|
||||
self._MfRhoI = self.mesh.getFaceInnerProduct(self.rho, invMat=True)
|
||||
return self._MfRhoI
|
||||
|
||||
def MfRhoIDeriv(self,u):
|
||||
"""
|
||||
Derivative of :code:`MfRhoI` with respect to the model.
|
||||
"""
|
||||
|
||||
dMfRhoI_dI = -self.MfRhoI**2
|
||||
dMf_drho = self.mesh.getFaceInnerProductDeriv(self.rho)(u)
|
||||
drho_dlogrho = Utils.sdiag(self.rho)
|
||||
return dMfRhoI_dI * ( dMf_drho * ( drho_dlogrho))
|
||||
|
||||
# TODO: This should take a vector
|
||||
def MeSigmaDeriv(self, u):
|
||||
"""
|
||||
Derivative of MeSigma with respect to the model
|
||||
"""
|
||||
dsigma_dlogsigma = Utils.sdiag(self.sigma)
|
||||
return self.mesh.getEdgeInnerProductDeriv(self.sigma)(u) * dsigma_dlogsigma
|
||||
|
||||
class Problem3D_CC(BaseSIPProblem):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'HJ' # CC potentials means J is on faces
|
||||
fieldsPair = Fields_CC
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseSIPProblem.__init__(self, mesh, **kwargs)
|
||||
self.setBC()
|
||||
|
||||
def getA(self):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = D MfRhoI G
|
||||
|
||||
"""
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
# TODO: this won't work for full anisotropy
|
||||
MfRhoI = self.MfRhoI
|
||||
A = D * MfRhoI * G
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return V.T * A
|
||||
return A
|
||||
|
||||
def getADeriv(self, u, v, adjoint= False):
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
MfRhoIDeriv = self.MfRhoIDeriv
|
||||
|
||||
if adjoint:
|
||||
# if self._makeASymmetric is True:
|
||||
# v = V * v
|
||||
return(MfRhoIDeriv( G * u ).T) * ( D.T * v)
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return V.T * ( D * ( MfRhoIDeriv( D.T * ( V * u ) ) * v ) )
|
||||
return D * (MfRhoIDeriv( G * u ) * v)
|
||||
|
||||
def getRHS(self):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm()
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return self.Vol.T * RHS
|
||||
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
def setBC(self):
|
||||
if self.mesh.dim==3:
|
||||
fxm,fxp,fym,fyp,fzm,fzp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
gBFzm = self.mesh.gridFz[fzm,:]
|
||||
gBFzp = self.mesh.gridFz[fzp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
temp_zm, temp_zp = np.ones_like(gBFzm[:,2]), np.ones_like(gBFzp[:,2])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
alpha_zm, alpha_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
beta_zm, beta_zp = temp_zm, temp_zp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
gamma_zm, gamma_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp, alpha_zm, alpha_zp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp, beta_zm, beta_zp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp, gamma_zm, gamma_zp]
|
||||
|
||||
elif self.mesh.dim==2:
|
||||
|
||||
fxm,fxp,fym,fyp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp]
|
||||
|
||||
x_BC, y_BC = getxBCyBC_CC(self.mesh, alpha, beta, gamma)
|
||||
V = self.Vol
|
||||
self.Div = V * self.mesh.faceDiv
|
||||
P_BC, B = self.mesh.getBCProjWF_simple()
|
||||
M = B*self.mesh.aveCC2F
|
||||
self.Grad = self.Div.T - P_BC*Utils.sdiag(y_BC)*M
|
||||
|
||||
|
||||
class Problem3D_N(BaseSIPProblem):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'EB' # N potentials means B is on faces
|
||||
fieldsPair = Fields_N
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseSIPProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
def getA(self):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = G.T MeSigma G
|
||||
|
||||
"""
|
||||
|
||||
# TODO: this won't work for full anisotropy
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
A = Grad.T * MeSigma * Grad
|
||||
|
||||
# Handling Null space of A
|
||||
A[0,0] = A[0,0] + 1.
|
||||
|
||||
return A
|
||||
|
||||
def getADeriv(self, u, v, adjoint=False):
|
||||
"""
|
||||
|
||||
Product of the derivative of our system matrix with respect to the model and a vector
|
||||
|
||||
"""
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
if not adjoint:
|
||||
return Grad.T*(self.MeSigmaDeriv(Grad*u)*v)
|
||||
elif adjoint:
|
||||
return self.MeSigmaDeriv(Grad*u).T * (Grad*v)
|
||||
|
||||
|
||||
def getRHS(self):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm()
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
if __name__ == '__main__':
|
||||
|
||||
|
||||
cs = 12.5
|
||||
hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
|
||||
hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
|
||||
hz = [(cs,7, -1.3),(cs,20)]
|
||||
mesh = Mesh.TensorMesh([hx, hy, hz],x0="CCN")
|
||||
sigma = np.ones(mesh.nC)
|
||||
prob = BaseSIPProblem(mesh, sigma=sigma)
|
||||
|
||||
|
||||
@@ -1,211 +0,0 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
from SimPEG import Utils, Maps, Mesh, sp, np
|
||||
from SimPEG.Regularization import BaseRegularization, Simple
|
||||
|
||||
class MultiRegularization(Simple):
|
||||
"""
|
||||
**MultiRegularization Class**
|
||||
|
||||
This is used to regularize the model space
|
||||
having multiple models [m1, m2, m3, ...] ::
|
||||
|
||||
reg = Regularization(mesh)
|
||||
|
||||
"""
|
||||
nModels = None # Number of models
|
||||
ratios = None # Ratio for different models
|
||||
crossgrad = False # Use cross gradient or not
|
||||
betacross = 1.
|
||||
wx = []
|
||||
wy = []
|
||||
wz = []
|
||||
|
||||
def __init__(self, mesh, mapping=None, indActive=None, **kwargs):
|
||||
BaseRegularization.__init__(self, mesh, mapping=mapping, indActive=indActive, **kwargs)
|
||||
if self.nModels == None:
|
||||
raise Exception("Put nModels as a initial input!")
|
||||
if self.ratios == None:
|
||||
self.ratios = [1. for imodel in range(self.nModels)]
|
||||
|
||||
@property
|
||||
def Wsmall(self):
|
||||
"""Regularization matrix Wsmall"""
|
||||
if getattr(self,'_Wsmall', None) is None:
|
||||
vecs = []
|
||||
for imodel in range(self.nModels):
|
||||
vecs.append((self.regmesh.vol*self.alpha_s*self.wght*self.ratios[imodel])**0.5)
|
||||
self._Wsmall = Utils.sdiag(np.hstack(vecs))
|
||||
return self._Wsmall
|
||||
|
||||
@property
|
||||
def Wx(self):
|
||||
"""Regularization matrix Wx"""
|
||||
if getattr(self, '_Wx', None) is None:
|
||||
mats = []
|
||||
for imodel in range(self.nModels):
|
||||
self.wx.append(Utils.sdiag((self.regmesh.aveCC2Fx * self.regmesh.vol*self.alpha_x*self.ratios[imodel]*(self.regmesh.aveCC2Fx*self.wght))**0.5))
|
||||
mats.append(self.wx[imodel]*self.regmesh.cellDiffxStencil)
|
||||
self._Wx = sp.block_diag(mats)
|
||||
return self._Wx
|
||||
|
||||
@property
|
||||
def Wy(self):
|
||||
"""Regularization matrix Wy"""
|
||||
if getattr(self, '_Wy', None) is None:
|
||||
mats = []
|
||||
for imodel in range(self.nModels):
|
||||
self.wy.append(Utils.sdiag((self.regmesh.aveCC2Fy * self.regmesh.vol*self.alpha_y*self.ratios[imodel]*(self.regmesh.aveCC2Fy*self.wght))**0.5))
|
||||
mats.append(self.wy[imodel]*self.regmesh.cellDiffyStencil)
|
||||
self._Wy = sp.block_diag(mats)
|
||||
return self._Wy
|
||||
|
||||
@property
|
||||
def Wz(self):
|
||||
"""Regularization matrix Wz"""
|
||||
if getattr(self, '_Wz', None) is None:
|
||||
mats = []
|
||||
for imodel in range(self.nModels):
|
||||
self.wz.append(Utils.sdiag((self.regmesh.aveCC2Fz * self.regmesh.vol*self.alpha_z*self.ratios[imodel]*(self.regmesh.aveCC2Fz*self.wght))**0.5))
|
||||
mats.append(self.wz[imodel]*self.regmesh.cellDiffzStencil)
|
||||
self._Wz = sp.block_diag(mats)
|
||||
return self._Wz
|
||||
|
||||
@property
|
||||
def Wsmooth(self):
|
||||
"""Full smoothness regularization matrix W"""
|
||||
if getattr(self, '_Wsmooth', None) is None:
|
||||
wlist = (self.Wx,)
|
||||
if self.regmesh.dim > 1:
|
||||
wlist += (self.Wy,)
|
||||
if self.regmesh.dim > 2:
|
||||
wlist += (self.Wz,)
|
||||
self._Wsmooth = sp.vstack(wlist)
|
||||
return self._Wsmooth
|
||||
|
||||
@property
|
||||
def W(self):
|
||||
"""Full regularization matrix W"""
|
||||
if getattr(self, '_W', None) is None:
|
||||
wlist = (self.Wsmall, self.Wsmooth)
|
||||
self._W = sp.vstack(wlist)
|
||||
return self._W
|
||||
|
||||
|
||||
@Utils.timeIt
|
||||
def eval(self, m):
|
||||
return self._evalSmall(m) + self._evalSmooth(m)
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmall(self, m):
|
||||
r = self.Wsmall * ( self.mapping * (m - self.mref) )
|
||||
return 0.5 * r.dot(r)
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmooth(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wsmooth * ( self.mapping * (m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wsmooth * ( self.mapping * m)
|
||||
return 0.5 * r.dot(r)
|
||||
|
||||
def cross(a,b):
|
||||
ax, ay, az = a[0], a[1], a[2]
|
||||
bx, by, bz = b[0], b[1], b[2]
|
||||
cx = ay*bz - az*by
|
||||
cy = az*bx - ax*bz
|
||||
cz = ax*by - ay*bx
|
||||
return [cx, cy, cz]
|
||||
|
||||
# TODO: Implement Cross Gradients..
|
||||
@Utils.timeIt
|
||||
def _evalCross(self, m):
|
||||
if self.crossgrad == False:
|
||||
return 0.
|
||||
elif self.crossgrad == True:
|
||||
M = (self.mapping * m).reshape((self.regmesh.nC, self.nModels), order="F")
|
||||
|
||||
ax = self.regmesh.aveFx2CC*self.regmesh.wx[0]*M[:,0]
|
||||
ay = self.regmesh.aveFy2CC*self.regmesh.wy[0]*M[:,0]
|
||||
az = self.regmesh.aveFz2CC*self.regmesh.wz[0]*M[:,0]
|
||||
bx = self.regmesh.aveFx2CC*self.regmesh.wx[1]*M[:,1]
|
||||
by = self.regmesh.aveFy2CC*self.regmesh.wy[1]*M[:,1]
|
||||
bz = self.regmesh.aveFz2CC*self.regmesh.wz[1]*M[:,1]
|
||||
#ab
|
||||
out_ab = cross([ax, ay, az], [bx, by, bz])
|
||||
r = np.r_[out_ab[0], out_ab[1], out_ab[2]]*np.sqrt(self.betacross)
|
||||
|
||||
if self.nModels == 3:
|
||||
cx = self.regmesh.aveFx2CC*self.regmesh.wx[1]*M[:,1]
|
||||
cy = self.regmesh.aveFy2CC*self.regmesh.wy[1]*M[:,1]
|
||||
cz = self.regmesh.aveFz2CC*self.regmesh.wz[1]*M[:,1]
|
||||
#ac
|
||||
out_ac = cross([ax, ay, az], [cx, cy, cz])
|
||||
#bc
|
||||
out_bc = cross([bx, by, bz], [cx, cy, cz])
|
||||
r = np.r_[r, np.hstack(out_ac)*np.sqrt(self.betacross), np.hstack(out_bc)*np.sqrt(self.betacross)]
|
||||
|
||||
return 0.5 * r.dot(r)
|
||||
|
||||
@Utils.timeIt
|
||||
def evalDeriv(self, m):
|
||||
"""
|
||||
The regularization is:
|
||||
|
||||
.. math::
|
||||
|
||||
R(m) = \\frac{1}{2}\mathbf{(m-m_\\text{ref})^\\top W^\\top W(m-m_\\text{ref})}
|
||||
|
||||
So the derivative is straight forward:
|
||||
|
||||
.. math::
|
||||
|
||||
R(m) = \mathbf{W^\\top W (m-m_\\text{ref})}
|
||||
|
||||
"""
|
||||
deriv = self._evalSmallDeriv(m) + self._evalSmoothDeriv(m)
|
||||
if self.crossgrad==True:
|
||||
deriv += self._evalCrossDeriv(m)
|
||||
return deriv
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalCrossDeriv(self,m):
|
||||
r = self.Wsmall * ( self.mapping * (m - self.mref) )
|
||||
return r.T * ( self.Wsmall * self.mapping.deriv(m - self.mref) )
|
||||
|
||||
@Utils.timeIt
|
||||
def eval2Deriv(self, m, v=None):
|
||||
"""
|
||||
Second derivative
|
||||
|
||||
:param numpy.array m: geophysical model
|
||||
:param numpy.array v: vector to multiply
|
||||
:rtype: scipy.sparse.csr_matrix or numpy.ndarray
|
||||
:return: WtW or WtW*v
|
||||
|
||||
The regularization is:
|
||||
|
||||
.. math::
|
||||
|
||||
R(m) = \\frac{1}{2}\mathbf{(m-m_\\text{ref})^\\top W^\\top W(m-m_\\text{ref})}
|
||||
|
||||
So the second derivative is straight forward:
|
||||
|
||||
.. math::
|
||||
|
||||
R(m) = \mathbf{W^\\top W}
|
||||
|
||||
"""
|
||||
mD = self.mapping.deriv(m - self.mref)
|
||||
if v is None:
|
||||
return mD.T * self.W.T * self.W * mD
|
||||
|
||||
return mD.T * ( self.W.T * ( self.W * ( mD * v) ) )
|
||||
|
||||
|
||||
|
||||
@@ -1,94 +0,0 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import SimPEG
|
||||
import numpy as np
|
||||
from SimPEG.Utils import Zero, closestPoints
|
||||
|
||||
class BaseRx(SimPEG.Survey.BaseTimeRx):
|
||||
locs = None
|
||||
rxType = None
|
||||
|
||||
knownRxTypes = {
|
||||
'phi':['phi',None],
|
||||
'ex':['e','x'],
|
||||
'ey':['e','y'],
|
||||
'ez':['e','z'],
|
||||
'jx':['j','x'],
|
||||
'jy':['j','y'],
|
||||
'jz':['j','z'],
|
||||
}
|
||||
|
||||
def __init__(self, locs, times, rxType, **kwargs):
|
||||
SimPEG.Survey.BaseTimeRx.__init__(self, locs, times, rxType, **kwargs)
|
||||
|
||||
@property
|
||||
def projField(self):
|
||||
"""Field Type projection (e.g. e b ...)"""
|
||||
return self.knownRxTypes[self.rxType][0]
|
||||
|
||||
def projGLoc(self, f):
|
||||
"""Grid Location projection (e.g. Ex Fy ...)"""
|
||||
comp = self.knownRxTypes[self.rxType][1]
|
||||
if comp is not None:
|
||||
return f._GLoc(self.rxType) + comp
|
||||
return f._GLoc(self.rxType)
|
||||
|
||||
def getTimeP(self, timesall):
|
||||
"""
|
||||
Returns the time projection matrix.
|
||||
|
||||
.. note::
|
||||
|
||||
This is not stored in memory, but is created on demand.
|
||||
"""
|
||||
time_inds = np.in1d(timesall, self.times)
|
||||
return time_inds
|
||||
|
||||
def evalDeriv(self, src, mesh, f, v, adjoint=False):
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
if not adjoint:
|
||||
return P*v
|
||||
elif adjoint:
|
||||
return P.T*v
|
||||
|
||||
|
||||
# DC.Rx.Dipole(locs)
|
||||
class Dipole(BaseRx):
|
||||
|
||||
def __init__(self, locsM, locsN, times, rxType = 'phi', **kwargs):
|
||||
assert locsM.shape == locsN.shape, 'locsM and locsN need to be the same size'
|
||||
locs = [locsM, locsN]
|
||||
# We may not need this ...
|
||||
BaseRx.__init__(self, locs, times, rxType)
|
||||
|
||||
@property
|
||||
def nD(self):
|
||||
"""Number of data in the receiver."""
|
||||
# return self.locs[0].shape[0] * len(self.times)
|
||||
return self.locs[0].shape[0]
|
||||
|
||||
@property
|
||||
def nRx(self):
|
||||
"""Number of data in the receiver."""
|
||||
return self.locs[0].shape[0]
|
||||
|
||||
# Not sure why ...
|
||||
# return int(self.locs[0].size / 2)
|
||||
|
||||
|
||||
def getP(self, mesh, Gloc):
|
||||
if mesh in self._Ps:
|
||||
return self._Ps[mesh]
|
||||
|
||||
P0 = mesh.getInterpolationMat(self.locs[0], Gloc)
|
||||
P1 = mesh.getInterpolationMat(self.locs[1], Gloc)
|
||||
P = P0 - P1
|
||||
|
||||
if self.storeProjections:
|
||||
self._Ps[mesh] = P
|
||||
|
||||
return P
|
||||
@@ -1,70 +0,0 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import SimPEG
|
||||
# from SimPEG.EM.Base import BaseEMSurvey
|
||||
from SimPEG.Utils import Zero, closestPoints, mkvc
|
||||
import numpy as np
|
||||
|
||||
class BaseSrc(SimPEG.Survey.BaseSrc):
|
||||
|
||||
current = 1.0
|
||||
loc = None
|
||||
|
||||
def __init__(self, rxList, **kwargs):
|
||||
SimPEG.Survey.BaseSrc.__init__(self, rxList, **kwargs)
|
||||
|
||||
def eval(self, prob):
|
||||
raise NotImplementedError
|
||||
|
||||
def evalDeriv(self, prob):
|
||||
return Zero()
|
||||
|
||||
@property
|
||||
def nD(self):
|
||||
"""Number of data"""
|
||||
return self.vnD.sum()
|
||||
|
||||
@property
|
||||
def vnD(self):
|
||||
"""Vector number of data"""
|
||||
return np.array([rx.nD*len(rx.times) for rx in self.rxList])
|
||||
|
||||
|
||||
|
||||
class Dipole(BaseSrc):
|
||||
|
||||
def __init__(self, rxList, locA, locB, **kwargs):
|
||||
assert locA.shape == locB.shape, 'Shape of locA and locB should be the same'
|
||||
self.loc = [locA, locB]
|
||||
BaseSrc.__init__(self, rxList, **kwargs)
|
||||
|
||||
def eval(self, prob):
|
||||
if prob._formulation == 'HJ':
|
||||
inds = closestPoints(prob.mesh, self.loc, gridLoc='CC')
|
||||
q = np.zeros(prob.mesh.nC)
|
||||
q[inds] = self.current * np.r_[1., -1.]
|
||||
elif prob._formulation == 'EB':
|
||||
qa = prob.mesh.getInterpolationMat(self.loc[0], locType='N').todense()
|
||||
qb = -prob.mesh.getInterpolationMat(self.loc[1], locType='N').todense()
|
||||
q = self.current * mkvc(qa+qb)
|
||||
return q
|
||||
|
||||
class Pole(BaseSrc):
|
||||
|
||||
def __init__(self, rxList, loc, **kwargs):
|
||||
BaseSrc.__init__(self, rxList, loc=loc, **kwargs)
|
||||
|
||||
def eval(self, prob):
|
||||
if prob._formulation == 'HJ':
|
||||
inds = closestPoints(prob.mesh, self.loc)
|
||||
q = np.zeros(prob.mesh.nC)
|
||||
q[inds] = self.current * np.r_[1.]
|
||||
elif prob._formulation == 'EB':
|
||||
q = prob.mesh.getInterpolationMat(self.loc, locType='N').todense()
|
||||
q = self.current * mkvc(q)
|
||||
return q
|
||||
|
||||
@@ -1,109 +0,0 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import str
|
||||
import SimPEG
|
||||
from SimPEG.EM.Base import BaseEMSurvey
|
||||
from SimPEG import np, sp, Survey, Utils
|
||||
from SimPEG.Utils import Zero, Identity
|
||||
from SimPEG.EM.Static.SIP.SrcSIP import BaseSrc
|
||||
from SimPEG.EM.Static.SIP.RxSIP import BaseRx
|
||||
import uuid
|
||||
|
||||
|
||||
class Survey(BaseEMSurvey):
|
||||
rxPair = BaseRx
|
||||
srcPair = BaseSrc
|
||||
times = None
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
self.srcList = srcList
|
||||
BaseEMSurvey.__init__(self, srcList, **kwargs)
|
||||
self.getUniqueTimes()
|
||||
|
||||
def getUniqueTimes(self):
|
||||
time_rx = []
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
time_rx.append(rx.times)
|
||||
self.times = np.unique(np.hstack(time_rx))
|
||||
|
||||
def dpred(self, m, f=None):
|
||||
"""
|
||||
Predicted data.
|
||||
|
||||
.. math::
|
||||
d_\\text{pred} = Pf(m)
|
||||
"""
|
||||
return self.prob.forward(m, f=f)
|
||||
|
||||
|
||||
class Data(SimPEG.Survey.Data):
|
||||
"""Fancy data storage by Src and Rx"""
|
||||
|
||||
def __init__(self, survey, v=None):
|
||||
self.uid = str(uuid.uuid4())
|
||||
self.survey = survey
|
||||
self._dataDict = {}
|
||||
for src in self.survey.srcList:
|
||||
self._dataDict[src] = {}
|
||||
for rx in src.rxList:
|
||||
self._dataDict[src][rx] = {}
|
||||
|
||||
if v is not None:
|
||||
self.fromvec(v)
|
||||
|
||||
def _ensureCorrectKey(self, key):
|
||||
if type(key) is tuple:
|
||||
if len(key) is not 3:
|
||||
raise KeyError('Key must be [Src, Rx, tInd]')
|
||||
if key[0] not in self.survey.srcList:
|
||||
raise KeyError('Src Key must be a source in the survey.')
|
||||
if key[1] not in key[0].rxList:
|
||||
raise KeyError('Rx Key must be a receiver for the source.')
|
||||
return key
|
||||
elif isinstance(key, self.survey.srcPair):
|
||||
if key not in self.survey.srcList:
|
||||
raise KeyError('Key must be a source in the survey.')
|
||||
return key, None, None
|
||||
else:
|
||||
raise KeyError('Key must be [Src] or [Src,Rx] or [Src, Rx, tInd]')
|
||||
|
||||
def __setitem__(self, key, value):
|
||||
src, rx, t = self._ensureCorrectKey(key)
|
||||
assert rx is not None, 'set data using [Src, Rx]'
|
||||
assert isinstance(value, np.ndarray), 'value must by ndarray'
|
||||
assert value.size == rx.nD, "value must have the same number of data as the source."
|
||||
self._dataDict[src][rx][t] = Utils.mkvc(value)
|
||||
|
||||
def __getitem__(self, key):
|
||||
src, rx, t = self._ensureCorrectKey(key)
|
||||
if rx is not None:
|
||||
if rx not in self._dataDict[src]:
|
||||
raise Exception('Data for receiver has not yet been set.')
|
||||
return self._dataDict[src][rx][t]
|
||||
|
||||
return np.concatenate([self[src,rx, t] for rx in src.rxList])
|
||||
|
||||
def tovec(self):
|
||||
val = []
|
||||
for src in self.survey.srcList:
|
||||
for rx in src.rxList:
|
||||
for t in rx.times:
|
||||
val.append(self[src, rx, t])
|
||||
return np.concatenate(val)
|
||||
|
||||
|
||||
def fromvec(self, v):
|
||||
v = Utils.mkvc(v)
|
||||
assert v.size == self.survey.nD, 'v must have the correct number of data.'
|
||||
indBot, indTop = 0, 0
|
||||
for src in self.survey.srcList:
|
||||
for rx in src.rxList:
|
||||
for t in rx.times:
|
||||
indTop += rx.nRx
|
||||
self[src, rx, t] = v[indBot:indTop]
|
||||
indBot += rx.nRx
|
||||
@@ -1,11 +0,0 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .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
|
||||
@@ -1,325 +0,0 @@
|
||||
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
|
||||
|
||||
def plot_pseudoSection(DCsurvey, axs, stype='dpdp', dtype="appc", clim=None):
|
||||
"""
|
||||
Read list of 2D tx-rx location and plot a speudo-section of apparent
|
||||
resistivity.
|
||||
|
||||
Assumes flat topo for now...
|
||||
|
||||
Input:
|
||||
:param d2D, z0
|
||||
:switch stype -> Either 'pdp' (pole-dipole) | 'dpdp' (dipole-dipole)
|
||||
:switch dtype=-> Either 'appr' (app. res) | 'appc' (app. con) | 'volt' (potential)
|
||||
Output:
|
||||
:figure scatter plot overlayed on image
|
||||
|
||||
Edited Feb 17th, 2016
|
||||
|
||||
@author: dominiquef
|
||||
|
||||
"""
|
||||
from SimPEG import np
|
||||
from scipy.interpolate import griddata
|
||||
import pylab as plt
|
||||
|
||||
# Set depth to 0 for now
|
||||
z0 = 0.
|
||||
|
||||
# Pre-allocate
|
||||
midx = []
|
||||
midz = []
|
||||
rho = []
|
||||
LEG = []
|
||||
count = 0 # Counter for data
|
||||
for ii in range(DCsurvey.nSrc):
|
||||
|
||||
Tx = DCsurvey.srcList[ii].loc
|
||||
Rx = DCsurvey.srcList[ii].rxList[0].locs
|
||||
|
||||
nD = DCsurvey.srcList[ii].rxList[0].nD
|
||||
|
||||
data = DCsurvey.dobs[count:count+nD]
|
||||
count += nD
|
||||
|
||||
# Get distances between each poles A-B-M-N
|
||||
if stype == 'pdp':
|
||||
MA = np.abs(Tx[0] - Rx[0][:,0])
|
||||
NA = np.abs(Tx[0] - Rx[1][:,0])
|
||||
MN = np.abs(Rx[1][:,0] - Rx[0][:,0])
|
||||
|
||||
# Create mid-point location
|
||||
Cmid = Tx[0]
|
||||
Pmid = (Rx[0][:,0] + Rx[1][:,0])/2
|
||||
if DCsurvey.mesh.dim == 2:
|
||||
zsrc = Tx[1]
|
||||
elif DCsurvey.mesh.dim ==3:
|
||||
zsrc = Tx[2]
|
||||
|
||||
elif stype == 'dpdp':
|
||||
MA = np.abs(Tx[0][0] - Rx[0][:,0])
|
||||
MB = np.abs(Tx[1][0] - Rx[0][:,0])
|
||||
NA = np.abs(Tx[0][0] - Rx[1][:,0])
|
||||
NB = np.abs(Tx[1][0] - Rx[1][:,0])
|
||||
|
||||
# Create mid-point location
|
||||
Cmid = (Tx[0][0] + Tx[1][0])/2
|
||||
Pmid = (Rx[0][:,0] + Rx[1][:,0])/2
|
||||
if DCsurvey.mesh.dim == 2:
|
||||
zsrc = (Tx[0][1] + Tx[1][1])/2
|
||||
elif DCsurvey.mesh.dim ==3:
|
||||
zsrc = (Tx[0][2] + Tx[1][2])/2
|
||||
|
||||
# Change output for dtype
|
||||
if dtype == 'volt':
|
||||
|
||||
rho = np.hstack([rho,data])
|
||||
|
||||
else:
|
||||
|
||||
# Compute pant leg of apparent rho
|
||||
if stype == 'pdp':
|
||||
|
||||
leg = data * 2*np.pi * MA * ( MA + MN ) / MN
|
||||
|
||||
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))
|
||||
else:
|
||||
print("""dtype must be 'pdp'(pole-dipole) | 'dpdp' (dipole-dipole) """)
|
||||
break
|
||||
|
||||
|
||||
if dtype == 'appc':
|
||||
|
||||
leg = np.log10(abs(1./leg))
|
||||
rho = np.hstack([rho,leg])
|
||||
|
||||
elif dtype == 'appr':
|
||||
|
||||
leg = np.log10(abs(leg))
|
||||
rho = np.hstack([rho,leg])
|
||||
|
||||
else:
|
||||
print("""dtype must be 'appr' | 'appc' | 'volt' """)
|
||||
break
|
||||
|
||||
|
||||
midx = np.hstack([midx, ( Cmid + Pmid )/2 ])
|
||||
if DCsurvey.mesh.dim==3:
|
||||
midz = np.hstack([midz, -np.abs(Cmid-Pmid)/2 + zsrc ])
|
||||
elif DCsurvey.mesh.dim==2:
|
||||
midz = np.hstack([midz, -np.abs(Cmid-Pmid)/2 + zsrc ])
|
||||
ax = axs
|
||||
|
||||
# Grid points
|
||||
grid_x, grid_z = np.mgrid[np.min(midx):np.max(midx), np.min(midz):np.max(midz)]
|
||||
grid_rho = griddata(np.c_[midx,midz], rho.T, (grid_x, grid_z), method='linear')
|
||||
|
||||
if clim == None:
|
||||
vmin, vmax = rho.min(), rho.max()
|
||||
else:
|
||||
vmin, vmax = clim[0], clim[1]
|
||||
|
||||
grid_rho = np.ma.masked_where(np.isnan(grid_rho), grid_rho)
|
||||
ph = plt.pcolormesh(grid_x[:,0],grid_z[0,:],grid_rho.T, clim=(vmin, vmax), vmin=vmin, vmax=vmax)
|
||||
cbar = plt.colorbar(format="$10^{%.1f}$",fraction=0.04,orientation="horizontal")
|
||||
|
||||
cmin,cmax = cbar.get_clim()
|
||||
ticks = np.linspace(cmin,cmax,3)
|
||||
cbar.set_ticks(ticks)
|
||||
cbar.ax.tick_params(labelsize=10)
|
||||
|
||||
if dtype == 'appc':
|
||||
cbar.set_label("App.Cond",size=12)
|
||||
elif dtype == 'appr':
|
||||
cbar.set_label("App.Res.",size=12)
|
||||
elif dtype == 'volt':
|
||||
cbar.set_label("Potential (V)",size=12)
|
||||
|
||||
# Plot apparent resistivity
|
||||
ax.scatter(midx,midz,s=10,c=rho.T, vmin =vmin, vmax = vmax, clim=(vmin, vmax))
|
||||
|
||||
#ax.set_xticklabels([])
|
||||
#ax.set_yticklabels([])
|
||||
|
||||
plt.gca().set_aspect('equal', adjustable='box')
|
||||
|
||||
|
||||
|
||||
return ph, LEG
|
||||
|
||||
def gen_DCIPsurvey(endl, mesh, stype, a, b, n):
|
||||
"""
|
||||
Load in endpoints and survey specifications to generate Tx, Rx location
|
||||
stations.
|
||||
|
||||
Assumes flat topo for now...
|
||||
|
||||
Input:
|
||||
:param endl -> input endpoints [x1, y1, z1, x2, y2, z2]
|
||||
:object mesh -> SimPEG mesh object
|
||||
:switch stype -> "dpdp" (dipole-dipole) | "pdp" (pole-dipole) | 'gradient'
|
||||
: param a, n -> pole seperation, number of rx dipoles per tx
|
||||
|
||||
Output:
|
||||
:param Tx, Rx -> List objects for each tx location
|
||||
Lines: P1x, P1y, P1z, P2x, P2y, P2z
|
||||
|
||||
Created on Wed December 9th, 2015
|
||||
|
||||
@author: dominiquef
|
||||
!! Require clean up to deal with DCsurvey
|
||||
"""
|
||||
|
||||
from SimPEG import np
|
||||
|
||||
def xy_2_r(x1,x2,y1,y2):
|
||||
r = np.sqrt( np.sum((x2 - x1)**2 + (y2 - y1)**2) )
|
||||
return r
|
||||
|
||||
## Evenly distribute electrodes and put on surface
|
||||
# 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
|
||||
|
||||
nstn = np.floor(dl_len / a)
|
||||
|
||||
# Compute discrete pole location along line
|
||||
stn_x = endl[0,0] + np.array(list(range(int(nstn))))*dl_x*a
|
||||
stn_y = endl[0,1] + np.array(list(range(int(nstn))))*dl_y*a
|
||||
|
||||
if mesh.dim==2:
|
||||
ztop = mesh.vectorNy[-1]
|
||||
# Create line of P1 locations
|
||||
M = np.c_[stn_x, np.ones(nstn).T*ztop]
|
||||
# Create line of P2 locations
|
||||
N = np.c_[stn_x+a*dl_x, np.ones(nstn).T*ztop]
|
||||
|
||||
elif mesh.dim==3:
|
||||
ztop = mesh.vectorNz[-1]
|
||||
# Create line of P1 locations
|
||||
M = np.c_[stn_x, stn_y, np.ones(nstn).T*ztop]
|
||||
# Create line of P2 locations
|
||||
N = np.c_[stn_x+a*dl_x, stn_y+a*dl_y, np.ones(nstn).T*ztop]
|
||||
|
||||
|
||||
## Build list of Tx-Rx locations depending on survey type
|
||||
# Dipole-dipole: Moving tx with [a] spacing -> [AB a MN1 a MN2 ... a MNn]
|
||||
# Pole-dipole: Moving pole on one end -> [A a MN1 a MN2 ... MNn a B]
|
||||
SrcList = []
|
||||
|
||||
|
||||
if stype != 'gradient':
|
||||
|
||||
for ii in range(0, int(nstn)-1):
|
||||
|
||||
|
||||
if stype == 'dpdp':
|
||||
tx = np.c_[M[ii,:],N[ii,:]]
|
||||
elif stype == 'pdp':
|
||||
tx = np.c_[M[ii,:],M[ii,:]]
|
||||
|
||||
# Rx.append(np.c_[M[ii+1:indx,:],N[ii+1:indx,:]])
|
||||
|
||||
# Current elctrode seperation
|
||||
AB = xy_2_r(tx[0,1],endl[1,0],tx[1,1],endl[1,1])
|
||||
|
||||
# Number of receivers to fit
|
||||
nstn = np.min([(AB - b) // a, n])
|
||||
|
||||
# Check if there is enough space, else break the loop
|
||||
if nstn <= 0:
|
||||
continue
|
||||
|
||||
# Compute discrete pole location along line
|
||||
stn_x = N[ii,0] + dl_x*b + np.array(list(range(int(nstn))))*dl_x*a
|
||||
stn_y = N[ii,1] + dl_y*b + np.array(list(range(int(nstn))))*dl_y*a
|
||||
|
||||
# Create receiver poles
|
||||
|
||||
if mesh.dim==3:
|
||||
# Create line of P1 locations
|
||||
P1 = np.c_[stn_x, stn_y, np.ones(nstn).T*ztop]
|
||||
# Create line of P2 locations
|
||||
P2 = np.c_[stn_x+a*dl_x, stn_y+a*dl_y, np.ones(nstn).T*ztop]
|
||||
rxClass = DC.Rx.Dipole(P1, P2)
|
||||
|
||||
elif mesh.dim==2:
|
||||
# Create line of P1 locations
|
||||
P1 = np.c_[stn_x, np.ones(nstn).T*ztop]
|
||||
# Create line of P2 locations
|
||||
P2 = np.c_[stn_x+a*dl_x, np.ones(nstn).T*ztop]
|
||||
rxClass = DC.Rx.Dipole_ky(P1, P2)
|
||||
|
||||
if stype == 'dpdp':
|
||||
srcClass = DC.Src.Dipole([rxClass], M[ii,:],N[ii,:])
|
||||
elif stype == 'pdp':
|
||||
srcClass = DC.Src.Pole([rxClass], M[ii,:])
|
||||
SrcList.append(srcClass)
|
||||
|
||||
elif stype == 'gradient':
|
||||
|
||||
# Gradient survey only requires Tx at end of line and creates a square
|
||||
# grid of receivers at in the middle at a pre-set minimum distance
|
||||
|
||||
# Get the edge limit of survey area
|
||||
min_x = endl[0,0] + dl_x * b
|
||||
min_y = endl[0,1] + dl_y * b
|
||||
|
||||
max_x = endl[1,0] - dl_x * b
|
||||
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.
|
||||
|
||||
nstn = np.floor(box_l / a)
|
||||
|
||||
# Compute discrete pole location along line
|
||||
stn_x = min_x + np.array(list(range(int(nstn))))*dl_x*a
|
||||
stn_y = min_y + np.array(list(range(int(nstn))))*dl_y*a
|
||||
|
||||
# Define number of cross lines
|
||||
nlin = int(box_w // a)
|
||||
lind = list(range(-nlin,nlin+1))
|
||||
|
||||
ngrad = nstn * len(lind)
|
||||
|
||||
rx = np.zeros([ngrad,6])
|
||||
for ii in range( len(lind) ):
|
||||
|
||||
# Move line in perpendicular direction by dipole spacing
|
||||
lxx = stn_x - lind[ii]*a*dl_y
|
||||
lyy = stn_y + lind[ii]*a*dl_x
|
||||
|
||||
|
||||
M = np.c_[ lxx, lyy , np.ones(nstn).T*ztop]
|
||||
N = np.c_[ lxx+a*dl_x, lyy+a*dl_y, np.ones(nstn).T*ztop]
|
||||
rx[(ii*nstn):((ii+1)*nstn),:] = np.c_[M,N]
|
||||
|
||||
if mesh.dim==3:
|
||||
rxClass = DC.Rx.Dipole(rx[:,:3], rx[:,3:])
|
||||
elif mesh.dim==2:
|
||||
M = M[:,[0,2]]
|
||||
N = N[:,[0,2]]
|
||||
rxClass = DC.Rx.Dipole_ky(rx[:,[0,2]], rx[:,[3,5]])
|
||||
srcClass = DC.Src.Dipole([rxClass], M[0,:], N[-1,:])
|
||||
SrcList.append(srcClass)
|
||||
else:
|
||||
print("""stype must be either 'pdp', 'dpdp' or 'gradient'. """)
|
||||
|
||||
|
||||
return SrcList
|
||||
|
||||
@@ -1,7 +0,0 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .StaticUtils import *
|
||||
@@ -1,9 +0,0 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from . import DC
|
||||
from . import IP
|
||||
from . import SIP
|
||||
+17
-24
@@ -1,10 +1,3 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
from SimPEG import Solver, Problem
|
||||
from SimPEG.Problem import BaseTimeProblem
|
||||
from SimPEG.EM.Utils import *
|
||||
@@ -54,7 +47,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
|
||||
self.waveformType = "GENERAL"
|
||||
|
||||
def fields(self, m):
|
||||
if self.verbose: print('%s\nCalculating fields(m)\n%s'%('*'*50,'*'*50))
|
||||
if self.verbose: print '%s\nCalculating fields(m)\n%s'%('*'*50,'*'*50)
|
||||
self.curModel = m
|
||||
# Create a fields storage object
|
||||
F = self._FieldsForward_pair(self.mesh, self.survey)
|
||||
@@ -62,7 +55,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
|
||||
# Set the initial conditions
|
||||
F[src,:,0] = src.getInitialFields(self.mesh)
|
||||
F = self.forward(m, self.getRHS, F=F)
|
||||
if self.verbose: print('%s\nDone calculating fields(m)\n%s'%('*'*50,'*'*50))
|
||||
if self.verbose: print '%s\nDone calculating fields(m)\n%s'%('*'*50,'*'*50)
|
||||
return F
|
||||
|
||||
def forward(self, m, RHS, F=None):
|
||||
@@ -77,13 +70,13 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
|
||||
if Ainv is not None:
|
||||
Ainv.clean()
|
||||
A = self.getA(tInd)
|
||||
if self.verbose: print('Factoring... (dt = %e)'%dt)
|
||||
if self.verbose: print 'Factoring... (dt = %e)'%dt
|
||||
Ainv = self.Solver(A, **self.solverOpts)
|
||||
if self.verbose: print('Done')
|
||||
if self.verbose: print 'Done'
|
||||
rhs = RHS(tInd, F)
|
||||
if self.verbose: print(' Solving... (tInd = %d)'%tInd)
|
||||
if self.verbose: print ' Solving... (tInd = %d)'%tInd
|
||||
sol = Ainv * rhs
|
||||
if self.verbose: print(' Done...')
|
||||
if self.verbose: print ' Done...'
|
||||
if sol.ndim == 1:
|
||||
sol.shape = (sol.size,1)
|
||||
F[:,self.solType,tInd+1] = sol
|
||||
@@ -102,13 +95,13 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
|
||||
if Ainv is not None:
|
||||
Ainv.clean()
|
||||
A = self.getA(tInd)
|
||||
if self.verbose: print('Factoring (Adjoint)... (dt = %e)'%dt)
|
||||
if self.verbose: print 'Factoring (Adjoint)... (dt = %e)'%dt
|
||||
Ainv = self.Solver(A, **self.solverOpts)
|
||||
if self.verbose: print('Done')
|
||||
if self.verbose: print 'Done'
|
||||
rhs = RHS(tInd, F)
|
||||
if self.verbose: print(' Solving (Adjoint)... (tInd = %d)'%tInd)
|
||||
if self.verbose: print ' Solving (Adjoint)... (tInd = %d)'%tInd
|
||||
sol = Ainv * rhs
|
||||
if self.verbose: print(' Done...')
|
||||
if self.verbose: print ' Done...'
|
||||
if sol.ndim == 1:
|
||||
sol.shape = (sol.size,1)
|
||||
F[:,self.solType,tInd+1] = sol
|
||||
@@ -119,7 +112,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param numpy.ndarray v: vector (model object)
|
||||
:param FieldsTDEM f: Fields resulting from m
|
||||
:param simpegEM.TDEM.FieldsTDEM f: Fields resulting from m
|
||||
:rtype: numpy.ndarray
|
||||
:return: w (data object)
|
||||
|
||||
@@ -130,21 +123,21 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
|
||||
* Compute \\\(\\\\vec{w} = -\\\mathbf{Q} \\\\vec{y}\\\)
|
||||
|
||||
"""
|
||||
if self.verbose: print('%s\nCalculating J(v)\n%s'%('*'*50,'*'*50))
|
||||
if self.verbose: print '%s\nCalculating J(v)\n%s'%('*'*50,'*'*50)
|
||||
self.curModel = m
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
p = self.Gvec(m, v, f)
|
||||
y = self.solveAh(m, p)
|
||||
Jv = self.survey.evalDeriv(f, v=y)
|
||||
if self.verbose: print('%s\nDone calculating J(v)\n%s'%('*'*50,'*'*50))
|
||||
if self.verbose: print '%s\nDone calculating J(v)\n%s'%('*'*50,'*'*50)
|
||||
return - mkvc(Jv)
|
||||
|
||||
def Jtvec(self, m, v, f=None):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param numpy.ndarray v: vector (or a :class:`SimPEG.Survey.Data` object)
|
||||
:param FieldsTDEM u: Fields resulting from m
|
||||
:param numpy.ndarray,SimPEG.Survey.Data v: vector (data object)
|
||||
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m
|
||||
:rtype: numpy.ndarray
|
||||
:return: w (model object)
|
||||
|
||||
@@ -155,7 +148,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
|
||||
* Compute \\\(\\\\vec{w} = -\\\mathbf{G}^\\\\top y\\\)
|
||||
|
||||
"""
|
||||
if self.verbose: print('%s\nCalculating J^T(v)\n%s'%('*'*50,'*'*50))
|
||||
if self.verbose: print '%s\nCalculating J^T(v)\n%s'%('*'*50,'*'*50)
|
||||
self.curModel = m
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
@@ -166,6 +159,6 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
|
||||
p = self.survey.evalDeriv(f, v=v, adjoint=True)
|
||||
y = self.solveAht(m, p)
|
||||
w = self.Gtvec(m, y, f)
|
||||
if self.verbose: print('%s\nDone calculating J^T(v)\n%s'%('*'*50,'*'*50))
|
||||
if self.verbose: print '%s\nDone calculating J^T(v)\n%s'%('*'*50,'*'*50)
|
||||
return - mkvc(w)
|
||||
|
||||
|
||||
@@ -1,13 +1,7 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import Utils, Survey, np
|
||||
from SimPEG.Survey import BaseSurvey
|
||||
from SimPEG.EM.Utils import *
|
||||
from .BaseTDEM import FieldsTDEM
|
||||
from BaseTDEM import FieldsTDEM
|
||||
|
||||
|
||||
class RxTDEM(Survey.BaseTimeRx):
|
||||
@@ -93,7 +87,7 @@ class SrcTDEM_VMD_MVP(SrcTDEM):
|
||||
def getInitialFields(self, mesh):
|
||||
"""Vertical magnetic dipole, magnetic vector potential"""
|
||||
if self.waveformType == "STEPOFF":
|
||||
print(">> Step waveform: Non-zero initial condition")
|
||||
print ">> Step waveform: Non-zero initial condition"
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, 'Ey')
|
||||
@@ -102,10 +96,10 @@ class SrcTDEM_VMD_MVP(SrcTDEM):
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'])
|
||||
else:
|
||||
raise Exception('Unknown mesh for VMD')
|
||||
return {"b": mesh.edgeCurl*MVP}
|
||||
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")
|
||||
@@ -119,7 +113,7 @@ class SrcTDEM_VMD_MVP(SrcTDEM):
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'])
|
||||
else:
|
||||
raise Exception('Unknown mesh for VMD')
|
||||
raise Exception('Unknown mesh for VMD')
|
||||
return mesh.edgeCurl.T*MfMui*mesh.edgeCurl*MVP
|
||||
|
||||
|
||||
@@ -128,12 +122,12 @@ class SrcTDEM_CircularLoop_MVP(SrcTDEM):
|
||||
self.loc = loc
|
||||
self.radius = radius
|
||||
self.waveformType = waveformType
|
||||
SrcTDEM.__init__(self,rxList)
|
||||
SrcTDEM.__init__(self,rxList)
|
||||
|
||||
def getInitialFields(self, mesh):
|
||||
"""Circular Loop, magnetic vector potential"""
|
||||
if self.waveformType == "STEPOFF":
|
||||
print(">> Step waveform: Non-zero initial condition")
|
||||
print ">> Step waveform: Non-zero initial condition"
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, 'Ey', self.radius)
|
||||
@@ -145,7 +139,7 @@ class SrcTDEM_CircularLoop_MVP(SrcTDEM):
|
||||
raise Exception('Unknown mesh for CircularLoop')
|
||||
return {"b": mesh.edgeCurl*MVP}
|
||||
elif self.waveformType == "GENERAL":
|
||||
print(">> General waveform: Zero initial condition")
|
||||
print ">> General waveform: Zero initial condition"
|
||||
return {"b": np.zeros(mesh.nF)}
|
||||
else:
|
||||
raise NotImplementedError("Only use STEPOFF or GENERAL")
|
||||
@@ -159,7 +153,7 @@ class SrcTDEM_CircularLoop_MVP(SrcTDEM):
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'], self.radius)
|
||||
else:
|
||||
raise Exception('Unknown mesh for CircularLoop')
|
||||
raise Exception('Unknown mesh for CircularLoop')
|
||||
return mesh.edgeCurl.T*MfMui*mesh.edgeCurl*MVP
|
||||
|
||||
|
||||
|
||||
+15
-22
@@ -1,14 +1,7 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
from .BaseTDEM import BaseTDEMProblem, FieldsTDEM
|
||||
from BaseTDEM import BaseTDEMProblem, FieldsTDEM
|
||||
from SimPEG.Utils import mkvc, sdiag
|
||||
import numpy as np
|
||||
from .SurveyTDEM import SurveyTDEM
|
||||
from SurveyTDEM import SurveyTDEM
|
||||
|
||||
|
||||
class FieldsTDEM_e_from_b(FieldsTDEM):
|
||||
@@ -94,8 +87,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param numpy.array vec: vector (like a model)
|
||||
:param FieldsTDEM u: Fields resulting from m
|
||||
:rtype: FieldsTDEM
|
||||
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m
|
||||
:rtype: simpegEM.TDEM.FieldsTDEM
|
||||
:return: f
|
||||
|
||||
Multiply G by a vector
|
||||
@@ -132,9 +125,9 @@ class ProblemTDEM_b(BaseTDEMProblem):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param numpy.array vec: vector (like a fields)
|
||||
:param FieldsTDEM u: Fields resulting from m
|
||||
:rtype: numpy.ndarray
|
||||
:return: p (like a model)
|
||||
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m
|
||||
:rtype: np.ndarray (like a model)
|
||||
:return: p
|
||||
|
||||
Multiply G.T by a vector
|
||||
"""
|
||||
@@ -160,8 +153,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
|
||||
def solveAh(self, m, p):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param FieldsTDEM p: Fields object
|
||||
:rtype: FieldsTDEM
|
||||
:param simpegEM.TDEM.FieldsTDEM p: Fields object
|
||||
:rtype: simpegEM.TDEM.FieldsTDEM
|
||||
:return: y
|
||||
|
||||
Solve the block-matrix system \\\(\\\hat{A} \\\hat{y} = \\\hat{p}\\\):
|
||||
@@ -207,8 +200,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
|
||||
def solveAht(self, m, p):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param FieldsTDEM p: Fields object
|
||||
:rtype: FieldsTDEM
|
||||
:param simpegEM.TDEM.FieldsTDEM p: Fields object
|
||||
:rtype: simpegEM.TDEM.FieldsTDEM
|
||||
:return: y
|
||||
|
||||
Solve the block-matrix system \\\(\\\hat{A}^\\\\top \\\hat{y} = \\\hat{p}\\\):
|
||||
@@ -277,8 +270,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
|
||||
def _AhVec(self, m, vec):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param FieldsTDEM vec: Fields object
|
||||
:rtype: FieldsTDEM
|
||||
:param simpegEM.TDEM.FieldsTDEM vec: Fields object
|
||||
:rtype: simpegEM.TDEM.FieldsTDEM
|
||||
:return: f
|
||||
|
||||
Multiply the matrix \\\(\\\hat{A}\\\) by a fields vector where
|
||||
@@ -322,8 +315,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
|
||||
def _AhtVec(self, m, vec):
|
||||
"""
|
||||
:param numpy.array m: Conductivity model
|
||||
:param FieldsTDEM vec: Fields object
|
||||
:rtype: FieldsTDEM
|
||||
:param simpegEM.TDEM.FieldsTDEM vec: Fields object
|
||||
:rtype: simpegEM.TDEM.FieldsTDEM
|
||||
:return: f
|
||||
|
||||
Multiply the matrix \\\(\\\hat{A}\\\) by a fields vector where
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .SurveyTDEM import * #SurveyTDEM, RxTDEM, SrcTDEM
|
||||
from .BaseTDEM import BaseTDEMProblem, FieldsTDEM
|
||||
from .TDEM_b import ProblemTDEM_b
|
||||
from SurveyTDEM import * #SurveyTDEM, RxTDEM, SrcTDEM
|
||||
from BaseTDEM import BaseTDEMProblem, FieldsTDEM
|
||||
from TDEM_b import ProblemTDEM_b
|
||||
|
||||
@@ -1,10 +1,3 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
from SimPEG import *
|
||||
from scipy.special import ellipk, ellipe
|
||||
from scipy.constants import mu_0, pi
|
||||
@@ -24,7 +17,7 @@ def MagneticDipoleVectorPotential(srcLoc, obsLoc, component, moment=1., dipoleMo
|
||||
#TODO: break this out!
|
||||
|
||||
if type(component) in [list, tuple]:
|
||||
out = list(range(len(component)))
|
||||
out = range(len(component))
|
||||
for i, comp in enumerate(component):
|
||||
out[i] = MagneticDipoleVectorPotential(srcLoc, obsLoc, comp, dipoleMoment=dipoleMoment)
|
||||
return np.concatenate(out)
|
||||
@@ -125,7 +118,7 @@ def MagneticLoopVectorPotential(srcLoc, obsLoc, component, radius, mu=mu_0):
|
||||
"""
|
||||
|
||||
if type(component) in [list, tuple]:
|
||||
out = list(range(len(component)))
|
||||
out = range(len(component))
|
||||
for i, comp in enumerate(component):
|
||||
out[i] = MagneticLoopVectorPotential(srcLoc, obsLoc, comp, radius, mu)
|
||||
return np.concatenate(out)
|
||||
@@ -165,11 +158,11 @@ def MagneticLoopVectorPotential(srcLoc, obsLoc, component, radius, mu=mu_0):
|
||||
# % 1/r singular at r = 0 and K(m) singular at m = 1
|
||||
Aphi = np.zeros(n)
|
||||
# % Common factor is (mu * I) / pi with I = 1 and mu = 4e-7 * pi.
|
||||
Aphi[ind] = 4e-7 / np.sqrt(m[ind]) * np.sqrt(radius/ r[ind]) *((1. - m[ind] / 2.) * K[ind] - E[ind])
|
||||
Aphi[ind] = 4e-7 / np.sqrt(m[ind]) * np.sqrt(radius / r[ind]) *((1. - m[ind] / 2.) * K[ind] - E[ind])
|
||||
if component == 'x':
|
||||
A[ind, i] = Aphi[ind] * (-y[ind] / r[ind])
|
||||
A[ind, i] = Aphi[ind] * (-y[ind] / r[ind] )
|
||||
elif component == 'y':
|
||||
A[ind, i] = Aphi[ind] * (x[ind] / r[ind])
|
||||
A[ind, i] = Aphi[ind] * ( x[ind] / r[ind] )
|
||||
else:
|
||||
raise ValueError('Invalid component')
|
||||
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import numpy as np
|
||||
from scipy.constants import mu_0, epsilon_0
|
||||
|
||||
@@ -15,8 +9,8 @@ def omega(freq):
|
||||
def k(freq, sigma, mu=mu_0, eps=epsilon_0):
|
||||
""" Eq 1.47 - 1.49 in Ward and Hohmann """
|
||||
w = omega(freq)
|
||||
alp = w * np.sqrt( mu*eps/2 * ( np.sqrt(1. + (sigma / (eps*w)))**2 ) + 1)
|
||||
beta = w * np.sqrt( mu*eps/2 * ( np.sqrt(1. + (sigma / (eps*w)))**2 ) - 1)
|
||||
alp = w * np.sqrt( mu*eps/2 * ( np.sqrt(1. + (sigma / (eps*w))**2 ) + 1) )
|
||||
beta = w * np.sqrt( mu*eps/2 * ( np.sqrt(1. + (sigma / (eps*w))**2 ) - 1) )
|
||||
return alp - 1j*beta
|
||||
|
||||
|
||||
|
||||
@@ -1,8 +1,2 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .EMUtils import omega, k
|
||||
from .AnalyticUtils import MagneticDipoleFields, MagneticDipoleVectorPotential, MagneticLoopVectorPotential
|
||||
from EMUtils import omega, k
|
||||
from AnalyticUtils import MagneticDipoleFields, MagneticDipoleVectorPotential, MagneticLoopVectorPotential
|
||||
@@ -1,10 +1,3 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import absolute_import
|
||||
from builtins import int
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import unittest
|
||||
from SimPEG import *
|
||||
from SimPEG import EM
|
||||
@@ -33,55 +26,69 @@ def getFDEMProblem(fdemType, comp, SrcList, freq, useMu=False, verbose=False):
|
||||
|
||||
x = np.array([np.linspace(-5.*cs,-2.*cs,3),np.linspace(5.*cs,2.*cs,3)]) + cs/4. #don't sample right by the source, slightly off alignment from either staggered grid
|
||||
XYZ = Utils.ndgrid(x,x,np.linspace(-2.*cs,2.*cs,5))
|
||||
Rx0 = getattr(EM.FDEM.Rx, 'Point_' + comp[0])
|
||||
if comp[2] == 'r':
|
||||
real_or_imag = 'real'
|
||||
elif comp[2] == 'i':
|
||||
real_or_imag = 'imag'
|
||||
rx0 = Rx0(XYZ, comp[1], 'imag')
|
||||
Rx0 = EM.FDEM.Rx(XYZ, comp)
|
||||
|
||||
Src = []
|
||||
|
||||
for SrcType in SrcList:
|
||||
if SrcType is 'MagDipole':
|
||||
Src.append(EM.FDEM.Src.MagDipole([rx0], freq=freq, loc=np.r_[0.,0.,0.]))
|
||||
Src.append(EM.FDEM.Src.MagDipole([Rx0], freq=freq, loc=np.r_[0.,0.,0.]))
|
||||
elif SrcType is 'MagDipole_Bfield':
|
||||
Src.append(EM.FDEM.Src.MagDipole_Bfield([rx0], freq=freq, loc=np.r_[0.,0.,0.]))
|
||||
Src.append(EM.FDEM.Src.MagDipole_Bfield([Rx0], freq=freq, loc=np.r_[0.,0.,0.]))
|
||||
elif SrcType is 'CircularLoop':
|
||||
Src.append(EM.FDEM.Src.CircularLoop([rx0], freq=freq, loc=np.r_[0.,0.,0.]))
|
||||
Src.append(EM.FDEM.Src.CircularLoop([Rx0], freq=freq, loc=np.r_[0.,0.,0.]))
|
||||
|
||||
elif SrcType is 'RawVec':
|
||||
if fdemType is 'e' or fdemType is 'b':
|
||||
S_m = np.zeros(mesh.nF)
|
||||
S_e = np.zeros(mesh.nE)
|
||||
S_m[Utils.closestPoints(mesh,[0.,0.,0.],'Fz') + np.sum(mesh.vnF[:1])] = 1e-3
|
||||
S_e[Utils.closestPoints(mesh,[0.,0.,0.],'Ez') + np.sum(mesh.vnE[:1])] = 1e-3
|
||||
Src.append(EM.FDEM.Src.RawVec([rx0], freq, S_m, mesh.getEdgeInnerProduct()*S_e))
|
||||
Src.append(EM.FDEM.Src.RawVec([Rx0], freq, S_m, S_e, integrate=True))
|
||||
|
||||
elif fdemType is 'h' or fdemType is 'j':
|
||||
S_m = np.zeros(mesh.nE)
|
||||
S_e = np.zeros(mesh.nF)
|
||||
S_m[Utils.closestPoints(mesh,[0.,0.,0.],'Ez') + np.sum(mesh.vnE[:1])] = 1e-3
|
||||
S_e[Utils.closestPoints(mesh,[0.,0.,0.],'Fz') + np.sum(mesh.vnF[:1])] = 1e-3
|
||||
Src.append(EM.FDEM.Src.RawVec([rx0], freq, mesh.getEdgeInnerProduct()*S_m, S_e))
|
||||
Src.append(EM.FDEM.Src.RawVec([Rx0], freq, S_m, S_e, integrate=True))
|
||||
|
||||
elif SrcType is 'PrimSec':
|
||||
primSrc = EM.FDEM.Src.MagDipole([], freq, np.r_[0.,0.,0.])
|
||||
primarySurvey = EM.FDEM.Survey([primSrc])
|
||||
primaryProblem = EM.FDEM.Problem_e(mesh,mapping=mapping)
|
||||
mPrimary = np.ones(mapping.nP)*np.log(CONDUCTIVITY)
|
||||
Src.append(EM.FDEM.Src.PrimSec([Rx0], freq, mPrimary, prob=primaryProblem, survey=primarySurvey))
|
||||
|
||||
elif SrcType is 'PrimSecCyl':
|
||||
hx = [(cs,ncx + 2), (cs,npad + 2,1.3)]
|
||||
hz = [(cs,npad + 2 ,-1.3), (cs,ncz+2), (cs,npad+2,1.3)]
|
||||
primmesh = Mesh.CylMesh([hx,1,hz], '00C')
|
||||
|
||||
primSrc = EM.FDEM.Src.MagDipole([], freq, np.r_[0.,0.,0.])
|
||||
primarySurvey = EM.FDEM.Survey([primSrc])
|
||||
primaryProblem = EM.FDEM.Problem_e(primmesh)
|
||||
mPrimary = np.ones(primmesh.nC)*CONDUCTIVITY
|
||||
Src.append(EM.FDEM.Src.PrimSec([Rx0], freq, mPrimary, prob=primaryProblem, survey=primarySurvey))
|
||||
|
||||
if verbose:
|
||||
print(' Fetching %s problem' % (fdemType))
|
||||
print ' Fetching %s problem' % (fdemType)
|
||||
|
||||
if fdemType == 'e':
|
||||
survey = EM.FDEM.Survey(Src)
|
||||
prb = EM.FDEM.Problem3D_e(mesh, mapping=mapping)
|
||||
prb = EM.FDEM.Problem_e(mesh, mapping=mapping)
|
||||
|
||||
elif fdemType == 'b':
|
||||
survey = EM.FDEM.Survey(Src)
|
||||
prb = EM.FDEM.Problem3D_b(mesh, mapping=mapping)
|
||||
prb = EM.FDEM.Problem_b(mesh, mapping=mapping)
|
||||
|
||||
elif fdemType == 'j':
|
||||
survey = EM.FDEM.Survey(Src)
|
||||
prb = EM.FDEM.Problem3D_j(mesh, mapping=mapping)
|
||||
prb = EM.FDEM.Problem_j(mesh, mapping=mapping)
|
||||
|
||||
elif fdemType == 'h':
|
||||
survey = EM.FDEM.Survey(Src)
|
||||
prb = EM.FDEM.Problem3D_h(mesh, mapping=mapping)
|
||||
prb = EM.FDEM.Problem_h(mesh, mapping=mapping)
|
||||
|
||||
else:
|
||||
raise NotImplementedError()
|
||||
@@ -90,7 +97,7 @@ def getFDEMProblem(fdemType, comp, SrcList, freq, useMu=False, verbose=False):
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
prb.Solver = MumpsSolver
|
||||
except ImportError as e:
|
||||
except ImportError, e:
|
||||
prb.Solver = SolverLU
|
||||
|
||||
return prb
|
||||
@@ -101,7 +108,7 @@ def crossCheckTest(SrcList, fdemType1, fdemType2, comp, addrandoms = False, useM
|
||||
|
||||
prb1 = getFDEMProblem(fdemType1, comp, SrcList, freq, useMu, verbose)
|
||||
mesh = prb1.mesh
|
||||
print('Cross Checking Forward: %s, %s formulations - %s' % (fdemType1, fdemType2, comp))
|
||||
print 'Cross Checking Forward: %s, %s formulations - %s' % (fdemType1, fdemType2, comp)
|
||||
|
||||
logsig = np.log(np.ones(mesh.nC)*CONDUCTIVITY)
|
||||
mu = np.ones(mesh.nC)*MU
|
||||
@@ -119,7 +126,7 @@ def crossCheckTest(SrcList, fdemType1, fdemType2, comp, addrandoms = False, useM
|
||||
d1 = survey1.dpred(m)
|
||||
|
||||
if verbose:
|
||||
print(' Problem 1 solved')
|
||||
print ' Problem 1 solved'
|
||||
|
||||
|
||||
prb2 = getFDEMProblem(fdemType2, comp, SrcList, freq, useMu, verbose)
|
||||
@@ -128,11 +135,11 @@ 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
|
||||
|
||||
+5
-12
@@ -1,13 +1,6 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from . import TDEM
|
||||
from . import FDEM
|
||||
from . import Static
|
||||
from . import Base
|
||||
from . import Analytics
|
||||
from . import Utils
|
||||
import TDEM
|
||||
import FDEM
|
||||
import Base
|
||||
import Analytics
|
||||
import Utils
|
||||
from scipy.constants import mu_0, epsilon_0
|
||||
|
||||
@@ -1,13 +1,7 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import *
|
||||
import SimPEG.EM.Static.DC as DC
|
||||
import SimPEG.DCIP as DC
|
||||
|
||||
def run(plotIt=True):
|
||||
def run(plotIt=False):
|
||||
cs = 25.
|
||||
hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
|
||||
hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
|
||||
@@ -27,15 +21,15 @@ def run(plotIt=True):
|
||||
# ax.plot(xyz_rxP[:,0],xyz_rxP[:,1], 'w.')
|
||||
# ax.plot(xyz_rxN[:,0],xyz_rxN[:,1], 'r.', ms = 3)
|
||||
|
||||
rx = DC.Rx.Dipole(xyz_rxP, xyz_rxN)
|
||||
src = DC.Src.Dipole([rx], np.r_[-200, 0, -12.5], np.r_[+200, 0, -12.5])
|
||||
survey = DC.Survey([src])
|
||||
problem = DC.Problem3D_CC(mesh)
|
||||
rx = DC.RxDipole(xyz_rxP, xyz_rxN)
|
||||
src = DC.SrcDipole([rx], [-200, 0, -12.5], [+200, 0, -12.5])
|
||||
survey = DC.SurveyDC([src])
|
||||
problem = DC.ProblemDC_CC(mesh)
|
||||
problem.pair(survey)
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
problem.Solver = MumpsSolver
|
||||
except Exception as e:
|
||||
except Exception, e:
|
||||
pass
|
||||
data = survey.dpred(sigma)
|
||||
|
||||
@@ -67,8 +61,8 @@ def run(plotIt=True):
|
||||
ax[0].set_title('Computed')
|
||||
plt.show()
|
||||
|
||||
return np.linalg.norm(data-data_ana) / np.linalg.norm(data_ana)
|
||||
return np.linalg.norm(data-data_ana)/np.linalg.norm(data_ana)
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
print(run())
|
||||
print run(plotIt=True)
|
||||
|
||||
@@ -1,36 +1,20 @@
|
||||
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
|
||||
|
||||
def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', unitType='appConductivity', plotIt=True):
|
||||
def run(loc=None, sig=None, radi=None, param=None, stype='dpdp', plotIt=True):
|
||||
"""
|
||||
DC Forward Simulation
|
||||
=====================
|
||||
|
||||
Forward model two conductive spheres in a half-space and plot a
|
||||
pseudo-section. Assumes an infinite line source and measures along the
|
||||
center of the spheres.
|
||||
Forward model conductive spheres in a half-space and plot a pseudo-section
|
||||
|
||||
INPUT:
|
||||
loc = Location of spheres [[x1,y1,z1],[x2,y2,z2]]
|
||||
radi = Radius of spheres [r1,r2]
|
||||
param = Conductivity of background and two spheres [m0,m1,m2]
|
||||
surveyType = survey type 'pole-dipole' or 'dipole-dipole'
|
||||
unitType = Data type "appResistivity" | "appConductivity" | "volt"
|
||||
Created by @fourndo
|
||||
Created by @fourndo on Mon Feb 01 19:28:06 2016
|
||||
|
||||
"""
|
||||
|
||||
assert surveyType in ['pole-dipole', 'dipole-dipole'], "Source type (surveyType) must be pdp or dpdp (pole dipole or dipole dipole)"
|
||||
assert unitType in ['appResistivity', 'appConductivity', 'volt'], "Unit type (unitType) must be appResistivity or appConductivity or volt (potential)"
|
||||
assert stype in ['pdp', 'dpdp'], "Source type (stype) must be pdp or dpdp (pole dipole or dipole dipole)"
|
||||
|
||||
|
||||
if loc is None:
|
||||
loc = np.c_[[-50.,0.,-50.],[50.,0.,-50.]]
|
||||
@@ -43,6 +27,7 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
|
||||
|
||||
|
||||
# First we need to create a mesh and a model.
|
||||
|
||||
# This is our mesh
|
||||
dx = 5.
|
||||
|
||||
@@ -65,12 +50,16 @@ 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
|
||||
xlim = 200
|
||||
zlim = 100
|
||||
zlim = 125
|
||||
|
||||
# Specify the survey type: "pdp" | "dpdp"
|
||||
|
||||
|
||||
# Then specify the end points of the survey. Let's keep it simple for now and survey above the anomalies, top of the mesh
|
||||
ends = [(-175,0),(175,0)]
|
||||
@@ -81,20 +70,19 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
|
||||
locs = np.c_[mesh.gridCC[indx,0],mesh.gridCC[indx,1],np.ones(2).T*mesh.vectorNz[-1]]
|
||||
|
||||
# We will handle the geometry of the survey for you and create all the combination of tx-rx along line
|
||||
# [Tx, Rx] = DC.gen_DCIPsurvey(locs, mesh, surveyType, param[0], param[1], param[2])
|
||||
survey, Tx, Rx = DC.gen_DCIPsurvey(locs, mesh, surveyType, param[0], param[1], param[2])
|
||||
# [Tx, Rx] = DC.gen_DCIPsurvey(locs, mesh, stype, param[0], param[1], param[2])
|
||||
survey, Tx, Rx = DC.gen_DCIPsurvey(locs, mesh, stype, param[0], param[1], param[2])
|
||||
|
||||
# Define some global geometry
|
||||
dl_len = np.sqrt( np.sum((locs[0,:] - locs[1,:])**2) )
|
||||
dl_x = ( Tx[-1][0,1] - Tx[0][0,0] ) / dl_len
|
||||
dl_y = ( Tx[-1][1,1] - Tx[0][1,0] ) / dl_len
|
||||
#azm = np.arctan(dl_y/dl_x)
|
||||
azm = np.arctan(dl_y/dl_x)
|
||||
|
||||
#Set boundary conditions
|
||||
mesh.setCellGradBC('neumann')
|
||||
|
||||
# Define the linear system needed for the DC problem. We assume an infitite
|
||||
# line source for simplicity.
|
||||
# Define the differential operators needed for the DC problem
|
||||
Div = mesh.faceDiv
|
||||
Grad = mesh.cellGrad
|
||||
Msig = Utils.sdiag(1./(mesh.aveF2CC.T*(1./model)))
|
||||
@@ -126,16 +114,16 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
|
||||
rxloc_N = np.asarray(Rx[ii][:,3:])
|
||||
|
||||
|
||||
# For usual cases 'dipole-dipole' or "gradient"
|
||||
if surveyType == 'pole-dipole':
|
||||
# For usual cases "dpdp" or "gradient"
|
||||
if stype == 'pdp':
|
||||
# Create an "inifinity" pole
|
||||
tx = np.squeeze(Tx[ii][:,0:1])
|
||||
tinf = tx + np.array([dl_x,dl_y,0])*dl_len*2
|
||||
inds = Utils.closestPoints(mesh, np.c_[tx,tinf].T)
|
||||
RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*([-1] / mesh.vol[inds])
|
||||
RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*( [-1] / mesh.vol[inds] )
|
||||
else:
|
||||
inds = Utils.closestPoints(mesh, np.asarray(Tx[ii]).T )
|
||||
RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*([-1,1] / mesh.vol[inds])
|
||||
RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*( [-1,1] / mesh.vol[inds] )
|
||||
|
||||
# Iterative Solve
|
||||
Ainvb = sp.linalg.bicgstab(P*A,P*RHS, tol=1e-5)
|
||||
@@ -151,29 +139,22 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
|
||||
dtemp = (P1*phi - P2*phi)*np.pi
|
||||
|
||||
data.append( dtemp )
|
||||
print('\rTransmitter {0} of {1} -> Time:{2} sec'.format(ii,len(Tx),time.time()- start_time), end=' ')
|
||||
print '\rTransmitter {0} of {1} -> Time:{2} sec'.format(ii,len(Tx),time.time()- start_time),
|
||||
|
||||
print('Transmitter {0} of {1}'.format(ii,len(Tx)))
|
||||
print('Forward completed')
|
||||
print 'Transmitter {0} of {1}'.format(ii,len(Tx))
|
||||
print 'Forward completed'
|
||||
|
||||
# Let's just convert the 3D format into 2D (distance along line) and plot
|
||||
survey2D = DC.convertObs_DC3D_to_2D(survey, np.ones(survey.nSrc) , 'Xloc')
|
||||
# [Tx2d, Rx2d] = DC.convertObs_DC3D_to_2D(survey, np.ones(survey.nSrc))
|
||||
survey2D = DC.convertObs_DC3D_to_2D(survey, np.ones(survey.nSrc))
|
||||
survey2D.dobs =np.hstack(data)
|
||||
|
||||
# Here is an example for the first tx-rx array
|
||||
if plotIt:
|
||||
import matplotlib.pyplot as plt
|
||||
fig = plt.figure(figsize=(7,7))
|
||||
fig = plt.figure()
|
||||
ax = plt.subplot(2,1,1, aspect='equal')
|
||||
# Plot the location of the spheres for reference
|
||||
circle1=plt.Circle((loc[0,0], loc[2,0]), radi[0], color='w', fill=False, lw=3)
|
||||
circle2=plt.Circle((loc[0,1], loc[2,1]), radi[1], color='k', fill=False, lw=3)
|
||||
ax.add_artist(circle1)
|
||||
ax.add_artist(circle2)
|
||||
|
||||
dat = mesh.plotSlice(np.log10(model), ax = ax, normal = 'Y',
|
||||
ind = indy,grid=True, clim = np.log10([sig.min(),sig.max()]))
|
||||
|
||||
ax.set_title('3-D model')
|
||||
mesh.plotSlice(np.log10(model), ax =ax, normal = 'Y', ind = indy,grid=True)
|
||||
ax.set_title('E-W section at '+str(mesh.vectorCCy[indy])+' m')
|
||||
plt.gca().set_aspect('equal', adjustable='box')
|
||||
|
||||
plt.scatter(Tx[0][0,:],Tx[0][2,:],s=40,c='g', marker='v')
|
||||
@@ -182,32 +163,22 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
|
||||
plt.ylim([-zlim,mesh.vectorNz[-1]+dx])
|
||||
|
||||
|
||||
pos = ax.get_position()
|
||||
ax.set_position([pos.x0 , pos.y0 + 0.025 , pos.width, pos.height])
|
||||
pos = ax.get_position()
|
||||
cbarax = fig.add_axes([pos.x0 , pos.y0 + 0.025 , pos.width, pos.height * 0.04]) ## the parameters are the specified position you set
|
||||
cb = fig.colorbar(dat[0],cax=cbarax, orientation="horizontal",
|
||||
ax = ax, ticks=np.linspace(np.log10(sig.min()),
|
||||
np.log10(sig.max()), 3), format="$10^{%.1f}$")
|
||||
cb.set_label("Conductivity (S/m)",size=12)
|
||||
cb.ax.tick_params(labelsize=12)
|
||||
|
||||
# Second plot for the predicted apparent resistivity data
|
||||
ax2 = plt.subplot(2,1,2, aspect='equal')
|
||||
ax = plt.subplot(2,1,2, aspect='equal')
|
||||
|
||||
# Plot the location of the spheres for reference
|
||||
circle1=plt.Circle((loc[0,0], loc[2,0]), radi[0], color='w', fill=False, lw=3)
|
||||
circle2=plt.Circle((loc[0,1], loc[2,1]), radi[1], color='k', fill=False, lw=3)
|
||||
ax2.add_artist(circle1)
|
||||
ax2.add_artist(circle2)
|
||||
circle1=plt.Circle((loc[0,0]-Tx[0][0,0],loc[2,0]),radi[0],color='w',fill=False, lw=3)
|
||||
circle2=plt.Circle((loc[0,1]-Tx[0][0,0],loc[2,1]),radi[1],color='k',fill=False, lw=3)
|
||||
ax.add_artist(circle1)
|
||||
ax.add_artist(circle2)
|
||||
|
||||
# Add the speudo section
|
||||
dat = DC.plot_pseudoSection(survey2D, ax2, surveyType=surveyType, unitType=unitType) # plt.scatter(Tx2d[0][:],Tx[0][2,:],s=40,c='g', marker='v')
|
||||
DC.plot_pseudoSection(survey2D,ax,stype)
|
||||
|
||||
# plt.scatter(Tx2d[0][:],Tx[0][2,:],s=40,c='g', marker='v')
|
||||
# plt.scatter(Rx2d[0][:],Rx[0][:,2::3],s=40,c='y')
|
||||
# plt.plot(np.r_[Tx2d[0][0],Rx2d[-1][-1,-1]],np.ones(2)*mesh.vectorNz[-1], color='k')
|
||||
ax2.set_title('Apparent Conductivity data')
|
||||
|
||||
plt.ylim([-zlim,mesh.vectorNz[-1]+dx])
|
||||
|
||||
plt.show()
|
||||
|
||||
return fig, ax
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import *
|
||||
import SimPEG.EM as EM
|
||||
from SimPEG.EM import mu_0
|
||||
@@ -48,21 +42,22 @@ def run(plotIt=True):
|
||||
ax.grid(color='k', alpha=0.5, linestyle='dashed', linewidth=0.5)
|
||||
|
||||
|
||||
rxOffset=10.
|
||||
bzi = EM.FDEM.Rx.Point_b(np.array([[rxOffset, 0., 1e-3]]), orientation='z', component='imag')
|
||||
rxOffset=10.
|
||||
bzi = EM.FDEM.Rx(np.array([[rxOffset, 0., 1e-3]]), 'bzi')
|
||||
|
||||
freqs = np.logspace(1,3,10)
|
||||
srcLoc = np.array([0., 0., 10.])
|
||||
|
||||
srcList = [EM.FDEM.Src.MagDipole([bzi],freq, srcLoc,orientation='Z') for freq in freqs]
|
||||
srcList = []
|
||||
[srcList.append(EM.FDEM.Src.MagDipole([bzi],freq, srcLoc,orientation='Z')) for freq in freqs]
|
||||
|
||||
survey = EM.FDEM.Survey(srcList)
|
||||
prb = EM.FDEM.Problem3D_b(mesh, mapping=mapping)
|
||||
prb = EM.FDEM.Problem_b(mesh, mapping=mapping)
|
||||
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
prb.Solver = MumpsSolver
|
||||
except ImportError as e:
|
||||
except ImportError, e:
|
||||
prb.Solver = SolverLU
|
||||
|
||||
prb.pair(survey)
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import *
|
||||
import SimPEG.EM as EM
|
||||
|
||||
|
||||
@@ -1,285 +0,0 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
from SimPEG import *
|
||||
from SimPEG.EM import FDEM, Analytics, mu_0
|
||||
import time
|
||||
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
solver = MumpsSolver
|
||||
except Exception:
|
||||
solver = SolverLU
|
||||
pass
|
||||
|
||||
def run(plotIt=True):
|
||||
"""
|
||||
EM: Schenkel and Morrison Casing Model
|
||||
======================================
|
||||
|
||||
Here we create and run a FDEM forward simulation to calculate the vertical
|
||||
current inside a steel-cased. The model is based on the Schenkel and
|
||||
Morrison Casing Model, and the results are used in a 2016 SEG abstract by
|
||||
Yang et al.
|
||||
|
||||
.. 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
|
||||
- 300m long
|
||||
- radius of 0.1m
|
||||
- thickness of 6e-3m
|
||||
|
||||
Inside the casing, we take the same conductivity as the background.
|
||||
|
||||
We are using an EM code to simulate DC, so we use frequency low enough
|
||||
that the skin depth inside the casing is longer than the casing length (f
|
||||
= 1e-6 Hz). The plot produced is of the current inside the casing.
|
||||
|
||||
These results are shown in the SEG abstract by Yang et al., 2016: 3D DC
|
||||
resistivity modeling of steel casing for reservoir monitoring using
|
||||
equivalent resistor network. The solver used to produce these results and
|
||||
achieve the CPU time of ~30s is Mumps, which was installed using pymatsolver_
|
||||
|
||||
.. _pymatsolver: https://github.com/rowanc1/pymatsolver
|
||||
|
||||
This example is on figshare: https://dx.doi.org/10.6084/m9.figshare.3126961.v1
|
||||
|
||||
If you would use this example for a code comparison, or build upon it, a
|
||||
citation would be much appreciated!
|
||||
|
||||
"""
|
||||
|
||||
if plotIt:
|
||||
import matplotlib.pylab as plt
|
||||
|
||||
# ------------------ MODEL ------------------
|
||||
sigmaair = 1e-8 # air
|
||||
sigmaback = 1e-2 # background
|
||||
sigmacasing = 1e6 # casing
|
||||
sigmainside = sigmaback # inside the casing
|
||||
|
||||
|
||||
casing_t = 0.006 # 1cm thickness
|
||||
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_z = np.r_[-casing_l,0.]
|
||||
|
||||
|
||||
# ------------------ SURVEY PARAMETERS ------------------
|
||||
freqs = np.r_[1e-6] #[1e-1, 1, 5] # frequencies
|
||||
dsz = -300 # down-hole z source location
|
||||
src_loc = np.r_[0.,0.,dsz]
|
||||
inf_loc = np.r_[0.,0.,1e4]
|
||||
|
||||
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
|
||||
|
||||
# pad nicely to second cell size
|
||||
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 = 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)
|
||||
npadx2 = 45
|
||||
hx2a, hx2b = Utils.meshTensor([(csx2,ncx2)]), Utils.meshTensor([(csx2,npadx2,pfx2)])
|
||||
hx = np.hstack([hx1a,hx1b,hx2a,hx2b])
|
||||
|
||||
# z-direction
|
||||
csz = 0.05
|
||||
nza = 10
|
||||
ncz, npadzu, npadzd = np.int(np.ceil(np.diff(casing_z)[0]/csz))+10, 68, 68 # cell size, number of core cells, number of padding cells in the x- direction
|
||||
hz = Utils.meshTensor([(csz,npadzd,-1.3), (csz,ncz), (csz,npadzu,1.3)]) # vector of cell widths in the z-direction
|
||||
|
||||
# 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)
|
||||
|
||||
if plotIt is True:
|
||||
fig, ax = plt.subplots(1, 1, figsize=(6, 4))
|
||||
ax.set_title('Simulation Mesh')
|
||||
mesh.plotGrid(ax=ax)
|
||||
plt.show()
|
||||
|
||||
# Put the model on the mesh
|
||||
sigWholespace = sigmaback*np.ones((mesh.nC))
|
||||
|
||||
sigBack = sigWholespace.copy()
|
||||
sigBack[mesh.gridCC[:,2] > 0.] = sigmaair
|
||||
|
||||
sigCasing = sigBack.copy()
|
||||
iCasingZ = (mesh.gridCC[:,2] <= casing_z[1]) & (mesh.gridCC[:,2] >= casing_z[0])
|
||||
iCasingX = (mesh.gridCC[:,0] >= casing_a) & (mesh.gridCC[:,0] <= casing_b)
|
||||
iCasing = iCasingX & iCasingZ
|
||||
sigCasing[iCasing] = sigmacasing
|
||||
|
||||
|
||||
if plotIt is True:
|
||||
|
||||
# plotting parameters
|
||||
xlim = np.r_[0., 0.2]
|
||||
zlim = np.r_[-350., 10.]
|
||||
clim_sig = np.r_[-8,6]
|
||||
|
||||
# plot models
|
||||
fig, ax = plt.subplots(1,1,figsize=(4,4))
|
||||
|
||||
f = plt.colorbar(mesh.plotImage(np.log10(sigCasing),ax=ax)[0], ax=ax)
|
||||
ax.grid(which='both')
|
||||
ax.set_title('Log_10 (Sigma)')
|
||||
ax.set_xlim(xlim)
|
||||
ax.set_ylim(zlim)
|
||||
f.set_clim(clim_sig)
|
||||
|
||||
plt.show()
|
||||
|
||||
|
||||
# -------------- Sources --------------------
|
||||
# Define Custom Current Sources
|
||||
|
||||
# surface source
|
||||
sg_x = np.zeros(mesh.vnF[0],dtype=complex)
|
||||
sg_y = np.zeros(mesh.vnF[1],dtype=complex)
|
||||
sg_z = np.zeros(mesh.vnF[2],dtype=complex)
|
||||
|
||||
nza = 2 # put the wire two cells above the surface
|
||||
ncin = 2
|
||||
|
||||
# vertically directed wire
|
||||
sgv_indx = (mesh.gridFz[:,0] > casing_a) & (mesh.gridFz[:,0] < casing_a + csx1) # hook it up to casing at the surface
|
||||
sgv_indz = (mesh.gridFz[:,2] <= +csz*nza) & (mesh.gridFz[:,2] >= -csz*2)
|
||||
sgv_ind = sgv_indx & sgv_indz
|
||||
sg_z[sgv_ind] = -1.
|
||||
|
||||
# horizontally directed wire
|
||||
sgh_indx = (mesh.gridFx[:,0] > casing_a) & (mesh.gridFx[:,0] <= inf_loc[2])
|
||||
sgh_indz = (mesh.gridFx[:,2] > csz*(nza-0.5)) & (mesh.gridFx[:,2] < csz*(nza+0.5))
|
||||
sgh_ind = sgh_indx & sgh_indz
|
||||
sg_x[sgh_ind] = -1.
|
||||
|
||||
sgv2_indx = (mesh.gridFz[:,0] >= mesh.gridFx[sgh_ind,0].max()) & (mesh.gridFz[:,0] <= inf_loc[2]*1.2) # hook it up to casing at the surface
|
||||
sgv2_indz = (mesh.gridFz[:,2] <= +csz*nza) & (mesh.gridFz[:,2] >= -csz*2)
|
||||
sgv2_ind = sgv2_indx & sgv2_indz
|
||||
sg_z[sgv2_ind] = 1.
|
||||
|
||||
# assemble the source
|
||||
sg = np.hstack([sg_x,sg_y,sg_z])
|
||||
sg_p = [FDEM.Src.RawVec_e([],_,sg/mesh.area) for _ in freqs]
|
||||
|
||||
# downhole source
|
||||
dg_x = np.zeros(mesh.vnF[0],dtype=complex)
|
||||
dg_y = np.zeros(mesh.vnF[1],dtype=complex)
|
||||
dg_z = np.zeros(mesh.vnF[2],dtype=complex)
|
||||
|
||||
# vertically directed wire
|
||||
dgv_indx = (mesh.gridFz[:,0] < csx1) # go through the center of the well
|
||||
dgv_indz = (mesh.gridFz[:,2] <= +csz*nza) & (mesh.gridFz[:,2] > dsz + csz/2.)
|
||||
dgv_ind = dgv_indx & dgv_indz
|
||||
dg_z[dgv_ind] = -1.
|
||||
|
||||
# couple to the casing downhole
|
||||
dgh_indx = mesh.gridFx[:,0] < casing_a + csx1
|
||||
dgh_indz = (mesh.gridFx[:,2] < dsz + csz) & (mesh.gridFx[:,2] >= dsz)
|
||||
dgh_ind = dgh_indx & dgh_indz
|
||||
dg_x[dgh_ind] = 1.
|
||||
|
||||
# horizontal part at surface
|
||||
dgh2_indx = mesh.gridFx[:,0] <= inf_loc[2]*1.2
|
||||
dgh2_indz = sgh_indz.copy()
|
||||
dgh2_ind = dgh2_indx & dgh2_indz
|
||||
dg_x[dgh2_ind] = -1.
|
||||
|
||||
# vertical part at surface
|
||||
dgv2_ind = sgv2_ind.copy()
|
||||
dg_z[dgv2_ind] = 1.
|
||||
|
||||
# assemble the source
|
||||
dg = np.hstack([dg_x,dg_y,dg_z])
|
||||
dg_p = [FDEM.Src.RawVec_e([],_,dg/mesh.area) for _ in freqs]
|
||||
|
||||
# ------------ Problem and Survey ---------------
|
||||
survey = FDEM.Survey(sg_p + dg_p)
|
||||
mapping = [('sigma', Maps.IdentityMap(mesh))]
|
||||
problem = FDEM.Problem3D_h(mesh, mapping=mapping, Solver=solver)
|
||||
problem.pair(survey)
|
||||
|
||||
# ------------- Solve ---------------------------
|
||||
t0 = time.time()
|
||||
fieldsCasing = problem.fields(sigCasing)
|
||||
print('Time to solve 2 sources', time.time() - t0)
|
||||
|
||||
# Plot current
|
||||
|
||||
# current density
|
||||
jn0 = fieldsCasing[dg_p,'j']
|
||||
jn1 = fieldsCasing[sg_p,'j']
|
||||
|
||||
# current
|
||||
in0 = [mesh.area*fieldsCasing[dg_p,'j'][:,i] for i in range(len(freqs))]
|
||||
in1 = [mesh.area*fieldsCasing[sg_p,'j'][:,i] for i in range(len(freqs))]
|
||||
|
||||
in0 = np.vstack(in0).T
|
||||
in1 = np.vstack(in1).T
|
||||
|
||||
# integrate to get z-current inside casing
|
||||
inds_inx = (mesh.gridFz[:,0] >= casing_a) & (mesh.gridFz[:,0] <= casing_b)
|
||||
inds_inz = (mesh.gridFz[:,2] >= dsz ) & (mesh.gridFz[:,2] <= 0)
|
||||
inds_fz = inds_inx & inds_inz
|
||||
|
||||
indsx = [False]*mesh.nFx
|
||||
inds = list(indsx) + list(inds_fz)
|
||||
|
||||
in0_in = in0[np.r_[inds]]
|
||||
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])
|
||||
|
||||
I0 = in0_in.sum(1).real
|
||||
I1 = in1_in.sum(1).real
|
||||
z_in = z_in[:,0]
|
||||
|
||||
if plotIt is True:
|
||||
fig, ax = plt.subplots(1,2,figsize=(12,4))
|
||||
|
||||
ax[0].plot(z_in,np.absolute(I0), z_in,np.absolute(I1))
|
||||
ax[0].legend(['top casing', 'bottom casing'],loc='best')
|
||||
ax[0].set_title('Magnitude of Vertical Current in Casing')
|
||||
|
||||
ax[1].semilogy(z_in,np.absolute(I0), z_in,np.absolute(I1))
|
||||
ax[1].legend(['top casing', 'bottom casing'],loc='best')
|
||||
ax[1].set_title('Magnitude of Vertical Current in Casing')
|
||||
ax[1].set_ylim([1e-2, 1.])
|
||||
|
||||
plt.show()
|
||||
|
||||
if __name__ == '__main__':
|
||||
run()
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import *
|
||||
import SimPEG.EM as EM
|
||||
from SimPEG.EM import mu_0
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import *
|
||||
from SimPEG.FLOW import Richards
|
||||
|
||||
|
||||
+31
-18
@@ -1,31 +1,22 @@
|
||||
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
|
||||
|
||||
## 2D DC forward modeling example with Tensor and Curvilinear Meshes
|
||||
|
||||
def run(plotIt=True):
|
||||
|
||||
"""
|
||||
Mesh: Basic Forward 2D DC Resistivity
|
||||
=====================================
|
||||
|
||||
2D DC forward modeling example with Tensor and Curvilinear Meshes
|
||||
"""
|
||||
|
||||
# Step1: Generate Tensor and Curvilinear Mesh
|
||||
sz = [40,40]
|
||||
# Tensor Mesh
|
||||
tM = Mesh.TensorMesh(sz)
|
||||
# Curvilinear Mesh
|
||||
rM = Mesh.CurvilinearMesh(Utils.meshutils.exampleLrmGrid(sz,'rotate'))
|
||||
|
||||
# Step2: Direct Current (DC) operator
|
||||
def DCfun(mesh, pts):
|
||||
D = mesh.faceDiv
|
||||
G = D.T
|
||||
sigma = 1e-2*np.ones(mesh.nC)
|
||||
MsigI = mesh.getFaceInnerProduct(sigma, invProp=True, invMat=True)
|
||||
A = -D*MsigI*D.T
|
||||
Msigi = mesh.getFaceInnerProduct(1./sigma)
|
||||
MsigI = Utils.sdInv(Msigi)
|
||||
A = D*MsigI*G
|
||||
A[-1,-1] /= mesh.vol[-1] # Remove null space
|
||||
rhs = np.zeros(mesh.nC)
|
||||
txind = Utils.meshutils.closestPoints(mesh, pts)
|
||||
@@ -46,17 +37,39 @@ def run(plotIt=True):
|
||||
if not plotIt: return
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import matplotlib
|
||||
from matplotlib.mlab import griddata
|
||||
|
||||
#Step4: Making Figure
|
||||
fig, axes = plt.subplots(1,2,figsize=(12*1.2,4*1.2))
|
||||
label = ["(a)", "(b)"]
|
||||
opts = {}
|
||||
vmin, vmax = phitM.min(), phitM.max()
|
||||
dat = tM.plotImage(phitM, ax=axes[0], clim=(vmin, vmax), grid=True)
|
||||
dat = rM.plotImage(phirM, ax=axes[1], clim=(vmin, vmax), grid=True)
|
||||
|
||||
#TODO: At the moment Curvilinear Mesh do not have plotimage
|
||||
|
||||
Xi = tM.gridCC[:,0].reshape(sz[0], sz[1], order='F')
|
||||
Yi = tM.gridCC[:,1].reshape(sz[0], sz[1], order='F')
|
||||
PHIrM = griddata(rM.gridCC[:,0], rM.gridCC[:,1], phirM, Xi, Yi, interp='linear')
|
||||
axes[1].contourf(Xi, Yi, PHIrM, 100, vmin=vmin, vmax=vmax)
|
||||
|
||||
cb = plt.colorbar(dat[0], ax=axes[0]); cb.set_label("Voltage (V)")
|
||||
cb = plt.colorbar(dat[0], ax=axes[1]); cb.set_label("Voltage (V)")
|
||||
|
||||
tM.plotGrid(ax=axes[0], **opts)
|
||||
axes[0].set_title('TensorMesh')
|
||||
rM.plotGrid(ax=axes[1], **opts)
|
||||
axes[1].set_title('CurvilinearMesh')
|
||||
for i in range(2):
|
||||
axes[i].set_xlim(0.025, 0.975)
|
||||
axes[i].set_ylim(0.025, 0.975)
|
||||
axes[i].text(0., 1.0, label[i], fontsize=20)
|
||||
if i==0:
|
||||
axes[i].set_ylabel("y")
|
||||
else:
|
||||
axes[i].set_ylabel(" ")
|
||||
axes[i].set_xlabel("x")
|
||||
plt.show()
|
||||
|
||||
|
||||
@@ -1,110 +0,0 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import str
|
||||
from builtins import range
|
||||
from SimPEG import *
|
||||
|
||||
|
||||
def run(N=100, plotIt=True):
|
||||
"""
|
||||
Inversion: Linear Problem
|
||||
=========================
|
||||
|
||||
Here we go over the basics of creating a linear problem and inversion.
|
||||
|
||||
"""
|
||||
|
||||
|
||||
np.random.seed(1)
|
||||
|
||||
std_noise = 1e-2
|
||||
|
||||
mesh = Mesh.TensorMesh([N])
|
||||
|
||||
m0 = np.ones(mesh.nC) * 1e-4
|
||||
mref = np.zeros(mesh.nC)
|
||||
|
||||
nk = 10
|
||||
jk = np.linspace(1.,nk,nk)
|
||||
p = -2.
|
||||
q = 1.
|
||||
|
||||
g = lambda k: np.exp(p*jk[k]*mesh.vectorCCx)*np.cos(np.pi*q*jk[k]*mesh.vectorCCx)
|
||||
|
||||
G = np.empty((nk, mesh.nC))
|
||||
|
||||
for i in range(nk):
|
||||
G[i,:] = g(i)
|
||||
|
||||
mtrue = np.zeros(mesh.nC)
|
||||
mtrue[mesh.vectorCCx > 0.3] = 1.
|
||||
mtrue[mesh.vectorCCx > 0.45] = -0.5
|
||||
mtrue[mesh.vectorCCx > 0.6] = 0
|
||||
|
||||
|
||||
prob = Problem.LinearProblem(mesh, G)
|
||||
survey = Survey.LinearSurvey()
|
||||
survey.pair(prob)
|
||||
survey.dobs = prob.fields(mtrue) + std_noise * np.random.randn(nk)
|
||||
|
||||
wd = np.ones(nk) * std_noise
|
||||
|
||||
# Distance weighting
|
||||
wr = np.sum(prob.G**2.,axis=0)**0.5
|
||||
wr = ( wr/np.max(wr))
|
||||
|
||||
dmis = DataMisfit.l2_DataMisfit(survey)
|
||||
dmis.Wd = 1./wd
|
||||
|
||||
betaest = Directives.BetaEstimate_ByEig()
|
||||
|
||||
reg = Regularization.Sparse(mesh)
|
||||
reg.mref = mref
|
||||
reg.cell_weights = wr
|
||||
|
||||
reg.mref = np.zeros(mesh.nC)
|
||||
|
||||
|
||||
opt = Optimization.ProjectedGNCG(maxIter=100 ,lower=-2.,upper=2., maxIterLS = 20, maxIterCG= 10, tolCG = 1e-3)
|
||||
invProb = InvProblem.BaseInvProblem(dmis, reg, opt)
|
||||
update_Jacobi = Directives.Update_lin_PreCond()
|
||||
|
||||
# Set the IRLS directive, penalize the lowest 25 percentile of model values
|
||||
# Start with an l2-l2, then switch to lp-norms
|
||||
norms = [0., 0., 2., 2.]
|
||||
IRLS = Directives.Update_IRLS( norms=norms, prctile = 25, maxIRLSiter = 15, minGNiter=3)
|
||||
|
||||
inv = Inversion.BaseInversion(invProb, directiveList=[IRLS,betaest,update_Jacobi])
|
||||
|
||||
# Run inversion
|
||||
mrec = inv.run(m0)
|
||||
|
||||
print("Final misfit:" + str(invProb.dmisfit.eval(mrec)))
|
||||
|
||||
|
||||
if plotIt:
|
||||
import matplotlib.pyplot as plt
|
||||
|
||||
fig, axes = plt.subplots(1,2,figsize=(12*1.2,4*1.2))
|
||||
for i in range(prob.G.shape[0]):
|
||||
axes[0].plot(prob.G[i,:])
|
||||
axes[0].set_title('Columns of matrix G')
|
||||
|
||||
axes[1].plot(mesh.vectorCCx, mtrue, 'b-')
|
||||
axes[1].plot(mesh.vectorCCx, reg.l2model, 'r-')
|
||||
#axes[1].legend(('True Model', 'Recovered Model'))
|
||||
axes[1].set_ylim(-1.0,1.25)
|
||||
|
||||
axes[1].plot(mesh.vectorCCx, mrec, 'k-',lw = 2)
|
||||
axes[1].legend(('True Model', 'Smooth l2-l2',
|
||||
'Sparse lp:' + str(reg.norms[0]) + ', lqx:' + str(reg.norms[1]) ), fontsize = 12)
|
||||
plt.show()
|
||||
|
||||
return prob, survey, mesh, mrec
|
||||
|
||||
if __name__ == '__main__':
|
||||
run()
|
||||
@@ -1,10 +1,3 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
from SimPEG import *
|
||||
|
||||
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
import SimPEG as simpeg
|
||||
import numpy as np
|
||||
import SimPEG.MT as MT
|
||||
@@ -13,7 +7,7 @@ import matplotlib.pyplot as plt
|
||||
def run(plotIt=True):
|
||||
"""
|
||||
MT: 1D: Inversion
|
||||
=================
|
||||
=======================
|
||||
|
||||
Forward model 1D MT data.
|
||||
Setup and run a MT 1D inversion.
|
||||
@@ -56,7 +50,7 @@ def run(plotIt=True):
|
||||
m_0 = np.log(sigma_0[active])
|
||||
|
||||
# Set the mapping
|
||||
actMap = simpeg.Maps.InjectActiveCells(m1d, active, np.log(1e-8), nC=m1d.nCx)
|
||||
actMap = simpeg.Maps.ActiveCells(m1d, active, np.log(1e-8), nC=m1d.nCx)
|
||||
mappingExpAct = simpeg.Maps.ExpMap(m1d) * actMap
|
||||
|
||||
## Setup the layout of the survey, set the sources and the connected receivers
|
||||
@@ -82,7 +76,7 @@ def run(plotIt=True):
|
||||
survey.dobs = survey.dtrue + 0.025*abs(survey.dtrue)*np.random.randn(*survey.dtrue.shape)
|
||||
|
||||
if plotIt:
|
||||
fig = MT.Utils.dataUtils.plotMT1DModelData(problem, [m_0])
|
||||
fig = MT.Utils.dataUtils.plotMT1DModelData(problem)
|
||||
fig.suptitle('Target - smooth true')
|
||||
|
||||
|
||||
@@ -106,7 +100,7 @@ def run(plotIt=True):
|
||||
# Regularization - with a regularization mesh
|
||||
regMesh = simpeg.Mesh.TensorMesh([m1d.hx[problem.mapping.sigmaMap.maps[-1].indActive]],m1d.x0)
|
||||
reg = simpeg.Regularization.Tikhonov(regMesh)
|
||||
reg.mrefInSmooth = True
|
||||
reg.smoothModel = True
|
||||
reg.alpha_s = 1e-7
|
||||
reg.alpha_x = 1.
|
||||
# Inversion problem
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
# Test script to use SimPEG.MT platform to forward model synthetic data.
|
||||
|
||||
# Import
|
||||
@@ -18,7 +12,7 @@ except:
|
||||
def run(plotIt=True, nFreq=1):
|
||||
"""
|
||||
MT: 3D: Forward
|
||||
===============
|
||||
=======================
|
||||
|
||||
Forward model 3D MT data.
|
||||
|
||||
@@ -52,15 +46,16 @@ def run(plotIt=True, nFreq=1):
|
||||
survey = MT.Survey(srcList)
|
||||
|
||||
## Setup the problem object
|
||||
problem = MT.Problem3D.eForm_ps(M, sigmaPrimary=sigBG, Solver=Solver)
|
||||
problem = MT.Problem3D.eForm_ps(M, sigmaPrimary=sigBG)
|
||||
problem.pair(survey)
|
||||
problem.Solver = Solver
|
||||
|
||||
# Calculate the data
|
||||
fields = problem.fields(sig)
|
||||
dataVec = survey.eval(fields)
|
||||
|
||||
# Make the data
|
||||
mtData = MT.Data(survey, dataVec)
|
||||
mtData = MT.Data(survey,dataVec)
|
||||
# Add plots
|
||||
if plotIt:
|
||||
pass
|
||||
|
||||
@@ -1,69 +0,0 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from builtins import dict
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import Mesh, Maps, np
|
||||
|
||||
def run(plotIt=True):
|
||||
"""
|
||||
|
||||
Maps: ComboMaps
|
||||
===============
|
||||
|
||||
We will use an example where we want a 1D layered earth as
|
||||
our model, but we want to map this to a 2D discretization to do our forward
|
||||
modeling. We will also assume that we are working in log conductivity still,
|
||||
so after the transformation we want to map to conductivity space.
|
||||
To do this we will introduce the vertical 1D map (:class:`SimPEG.Maps.SurjectVertical1D`),
|
||||
which does the first part of what we just described. The second part will be
|
||||
done by the :class:`SimPEG.Maps.ExpMap` described above.
|
||||
|
||||
.. code-block:: python
|
||||
:linenos:
|
||||
|
||||
M = Mesh.TensorMesh([7,5])
|
||||
v1dMap = Maps.SurjectVertical1D(M)
|
||||
expMap = Maps.ExpMap(M)
|
||||
myMap = expMap * v1dMap
|
||||
m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
|
||||
sig = myMap * m
|
||||
|
||||
If you noticed, it was pretty easy to combine maps. What is even cooler is
|
||||
that the derivatives also are made for you (if everything goes right).
|
||||
Just to be sure that the derivative is correct, you should always run the test
|
||||
on the mapping that you create.
|
||||
|
||||
"""
|
||||
|
||||
|
||||
M = Mesh.TensorMesh([7,5])
|
||||
v1dMap = Maps.SurjectVertical1D(M)
|
||||
expMap = Maps.ExpMap(M)
|
||||
myMap = expMap * v1dMap
|
||||
m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
|
||||
sig = myMap * m
|
||||
|
||||
if not plotIt: return
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
figs, axs = plt.subplots(1,2)
|
||||
axs[0].plot(m, M.vectorCCy, 'b-o')
|
||||
axs[0].set_title('Model')
|
||||
axs[0].set_ylabel('Depth, y')
|
||||
axs[0].set_xlabel('Value, $m_i$')
|
||||
axs[0].set_xlim(0,3)
|
||||
axs[0].set_ylim(0,1)
|
||||
clbar = plt.colorbar(M.plotImage(sig,ax=axs[1],grid=True,gridOpts=dict(color='grey'))[0])
|
||||
axs[1].set_title('Physical Property')
|
||||
axs[1].set_ylabel('Depth, y')
|
||||
clbar.set_label('$\sigma = \exp(\mathbf{P}m)$')
|
||||
plt.tight_layout()
|
||||
plt.show()
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
run()
|
||||
|
||||
@@ -1,47 +0,0 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import Mesh, Maps, Utils
|
||||
|
||||
def run(plotIt=True):
|
||||
"""
|
||||
|
||||
Maps: Mesh2Mesh
|
||||
===============
|
||||
|
||||
This mapping allows you to go from one mesh to another.
|
||||
|
||||
"""
|
||||
|
||||
M = Mesh.TensorMesh([100,100])
|
||||
h1 = Utils.meshTensor([(6,7,-1.5),(6,10),(6,7,1.5)])
|
||||
h1 = h1/h1.sum()
|
||||
M2 = Mesh.TensorMesh([h1,h1])
|
||||
V = Utils.ModelBuilder.randomModel(M.vnC, seed=79, its=50)
|
||||
v = Utils.mkvc(V)
|
||||
modh = Maps.Mesh2Mesh([M,M2])
|
||||
modH = Maps.Mesh2Mesh([M2,M])
|
||||
H = modH * v
|
||||
h = modh * H
|
||||
|
||||
if not plotIt: return
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
ax = plt.subplot(131)
|
||||
M.plotImage(v, ax=ax)
|
||||
ax.set_title('Fine Mesh (Original)')
|
||||
ax = plt.subplot(132)
|
||||
M2.plotImage(H,clim=[0,1],ax=ax)
|
||||
ax.set_title('Course Mesh')
|
||||
ax = plt.subplot(133)
|
||||
M.plotImage(h,clim=[0,1],ax=ax)
|
||||
ax.set_title('Fine Mesh (Interpolated)')
|
||||
plt.show()
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
run()
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import *
|
||||
|
||||
def run(plotIt=True):
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import *
|
||||
|
||||
def run(plotIt=True):
|
||||
|
||||
@@ -1,11 +1,3 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from builtins import int
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import zip
|
||||
from SimPEG import *
|
||||
|
||||
def run(plotIt=True, n=60):
|
||||
@@ -95,7 +87,7 @@ def run(plotIt=True, n=60):
|
||||
if elapsed > capture[jj]:
|
||||
PHIS += [(elapsed, phi.copy())]
|
||||
jj += 1
|
||||
if ii % 10 == 0: print(ii, elapsed)
|
||||
if ii % 10 == 0: print ii, elapsed
|
||||
ii += 1
|
||||
|
||||
if plotIt:
|
||||
|
||||
@@ -1,10 +1,3 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
from SimPEG import *
|
||||
|
||||
def run(plotIt=True):
|
||||
|
||||
@@ -1,11 +1,3 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import zip
|
||||
from builtins import range
|
||||
from SimPEG import *
|
||||
|
||||
def run(plotIt=True, n=60):
|
||||
@@ -36,15 +28,15 @@ def run(plotIt=True, n=60):
|
||||
axes[0].set_xlim([-1,17])
|
||||
axes[0].set_ylim([-1,17])
|
||||
|
||||
for ii, loc in zip(list(range(M.nC)),M.gridCC):
|
||||
for ii, loc in zip(range(M.nC),M.gridCC):
|
||||
axes[0].text(loc[0]+0.2,loc[1],'%d'%ii, color='r')
|
||||
|
||||
axes[0].plot(M.gridFx[:,0],M.gridFx[:,1], 'g>')
|
||||
for ii, loc in zip(list(range(M.nFx)),M.gridFx):
|
||||
for ii, loc in zip(range(M.nFx),M.gridFx):
|
||||
axes[0].text(loc[0]+0.2,loc[1],'%d'%ii, color='g')
|
||||
|
||||
axes[0].plot(M.gridFy[:,0],M.gridFy[:,1], 'm^')
|
||||
for ii, loc in zip(list(range(M.nFy)),M.gridFy):
|
||||
for ii, loc in zip(range(M.nFy),M.gridFy):
|
||||
axes[0].text(loc[0]+0.2,loc[1]+0.2,'%d'%(ii+M.nFx), color='m')
|
||||
|
||||
axes[1].spy(M.faceDiv)
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import *
|
||||
|
||||
def run(plotIt=True):
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import *
|
||||
|
||||
def run(plotIt=True):
|
||||
|
||||
@@ -1,49 +0,0 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import *
|
||||
from SimPEG.Utils import surface2ind_topo
|
||||
|
||||
|
||||
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.
|
||||
|
||||
"""
|
||||
|
||||
mesh = Mesh.TensorMesh([nx,ny], x0='CC') # 2D mesh
|
||||
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
|
||||
|
||||
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))
|
||||
mesh.plotGrid(ax=ax, nodes=True, centers=True)
|
||||
ax.plot(xtopo,topo,'k',linewidth=1)
|
||||
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)
|
||||
plt.show()
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
run(plotIt=True)
|
||||
+22
-34
@@ -1,37 +1,25 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import division
|
||||
from builtins import open
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
# Run this file to add imports.
|
||||
|
||||
##### AUTOIMPORTS #####
|
||||
from . import DC_Analytic_Dipole
|
||||
from . import DC_Forward_PseudoSection
|
||||
from . import EM_FDEM_1D_Inversion
|
||||
from . import EM_FDEM_Analytic_MagDipoleWholespace
|
||||
from . import EM_Schenkel_Morrison_Casing
|
||||
from . import EM_TDEM_1D_Inversion
|
||||
from . import FLOW_Richards_1D_Celia1990
|
||||
from . import Inversion_IRLS
|
||||
from . import Inversion_Linear
|
||||
from . import Maps_ComboMaps
|
||||
from . import Maps_Mesh2Mesh
|
||||
from . import Mesh_Basic_ForwardDC
|
||||
from . import Mesh_Basic_PlotImage
|
||||
from . import Mesh_Basic_Types
|
||||
from . import Mesh_Operators_CahnHilliard
|
||||
from . import Mesh_QuadTree_Creation
|
||||
from . import Mesh_QuadTree_FaceDiv
|
||||
from . import Mesh_QuadTree_HangingNodes
|
||||
from . import Mesh_Tensor_Creation
|
||||
from . import MT_1D_ForwardAndInversion
|
||||
from . import MT_3D_Foward
|
||||
from . import Utils_surface2ind_topo
|
||||
import DC_Analytic_Dipole
|
||||
import DC_Forward_PseudoSection
|
||||
import EM_FDEM_1D_Inversion
|
||||
import EM_FDEM_Analytic_MagDipoleWholespace
|
||||
import EM_TDEM_1D_Inversion
|
||||
import FLOW_Richards_1D_Celia1990
|
||||
import Forward_BasicDirectCurrent
|
||||
import Inversion_Linear
|
||||
import Mesh_Basic_PlotImage
|
||||
import Mesh_Basic_Types
|
||||
import Mesh_Operators_CahnHilliard
|
||||
import Mesh_QuadTree_Creation
|
||||
import Mesh_QuadTree_FaceDiv
|
||||
import Mesh_QuadTree_HangingNodes
|
||||
import Mesh_Tensor_Creation
|
||||
import MT_1D_ForwardAndInversion
|
||||
import MT_3D_Foward
|
||||
|
||||
__examples__ = ["DC_Analytic_Dipole", "DC_Forward_PseudoSection", "EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_Schenkel_Morrison_Casing", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Inversion_IRLS", "Inversion_Linear", "Maps_ComboMaps", "Maps_Mesh2Mesh", "Mesh_Basic_ForwardDC", "Mesh_Basic_PlotImage", "Mesh_Basic_Types", "Mesh_Operators_CahnHilliard", "Mesh_QuadTree_Creation", "Mesh_QuadTree_FaceDiv", "Mesh_QuadTree_HangingNodes", "Mesh_Tensor_Creation", "MT_1D_ForwardAndInversion", "MT_3D_Foward", "Utils_surface2ind_topo"]
|
||||
__examples__ = ["DC_Analytic_Dipole", "DC_Forward_PseudoSection", "EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Forward_BasicDirectCurrent", "Inversion_Linear", "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"]
|
||||
|
||||
##### AUTOIMPORTS #####
|
||||
|
||||
@@ -47,7 +35,7 @@ if __name__ == '__main__':
|
||||
|
||||
# Create the examples dir in the docs folder.
|
||||
fName = os.path.realpath(__file__)
|
||||
docExamplesDir = os.path.sep.join(fName.split(os.path.sep)[:-3] + ['docs', 'content', 'examples'])
|
||||
docExamplesDir = os.path.sep.join(fName.split(os.path.sep)[:-3] + ['docs', 'examples'])
|
||||
shutil.rmtree(docExamplesDir)
|
||||
os.makedirs(docExamplesDir)
|
||||
|
||||
@@ -104,14 +92,14 @@ if __name__ == '__main__':
|
||||
from SimPEG import Examples
|
||||
Examples.%s.run()
|
||||
|
||||
.. literalinclude:: ../../../SimPEG/Examples/%s.py
|
||||
.. literalinclude:: ../../SimPEG/Examples/%s.py
|
||||
:language: python
|
||||
:linenos:
|
||||
"""%(name,doc,name,name)
|
||||
|
||||
rst = os.path.sep.join((filePath.split(os.path.sep)[:-3] + ['docs', 'content', 'examples', name + '.rst']))
|
||||
rst = os.path.sep.join((filePath.split(os.path.sep)[:-3] + ['docs', 'examples', name + '.rst']))
|
||||
|
||||
print('Creating: %s.rst'%name)
|
||||
print 'Creating: %s.rst'%name
|
||||
f = open(rst, 'w')
|
||||
f.write(out)
|
||||
f.close()
|
||||
|
||||
@@ -1,20 +1,14 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import object
|
||||
from SimPEG import Mesh, Maps, Utils, np
|
||||
from future.utils import with_metaclass
|
||||
|
||||
|
||||
class NonLinearMap(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
class NonLinearMap(object):
|
||||
"""
|
||||
SimPEG NonLinearMap
|
||||
|
||||
"""
|
||||
|
||||
__metaclass__ = Utils.SimPEGMetaClass
|
||||
|
||||
counter = None #: A SimPEG.Utils.Counter object
|
||||
mesh = None #: A SimPEG Mesh
|
||||
|
||||
@@ -37,7 +31,7 @@ class NonLinearMap(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
"""
|
||||
:param numpy.array u: fields
|
||||
:param numpy.array m: model
|
||||
:rtype: scipy.sparse.csr_matrix
|
||||
:rtype: scipy.csr_matrix
|
||||
:return: derivative of transformed model
|
||||
|
||||
The *transform* changes the model into the physical property.
|
||||
@@ -50,7 +44,7 @@ class NonLinearMap(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
"""
|
||||
:param numpy.array u: fields
|
||||
:param numpy.array m: model
|
||||
:rtype: scipy.sparse.csr_matrix
|
||||
:rtype: scipy.csr_matrix
|
||||
:return: derivative of transformed model
|
||||
|
||||
The *transform* changes the model into the physical property.
|
||||
@@ -192,7 +186,7 @@ class _haverkamp_theta(NonLinearMap):
|
||||
|
||||
def transformDerivU(self, u, m):
|
||||
self.setModel(m)
|
||||
g = (self.alpha*((self.theta_s - self.theta_r) /
|
||||
g = (self.alpha*((self.theta_s - self.theta_r)/
|
||||
(self.alpha + abs(u)**self.beta)**2)
|
||||
*(-self.beta*abs(u)**(self.beta-1)*np.sign(u)))
|
||||
g[u >= 0] = 0
|
||||
@@ -279,7 +273,7 @@ class _vangenuchten_theta(NonLinearMap):
|
||||
def transform(self, u, m):
|
||||
self.setModel(m)
|
||||
m = 1 - 1.0/self.n
|
||||
f = (( self.theta_s - self.theta_r ) /
|
||||
f = (( self.theta_s - self.theta_r )/
|
||||
((1+abs(self.alpha*u)**self.n)**m) + self.theta_r)
|
||||
if Utils.isScalar(self.theta_s):
|
||||
f[u >= 0] = self.theta_s
|
||||
@@ -349,7 +343,7 @@ class _vangenuchten_k(NonLinearMap):
|
||||
Ks = self.Ks
|
||||
m = 1.0 - 1.0/n
|
||||
|
||||
g = I*alpha*n*np.exp(Ks)*abs(alpha*u)**(n - 1.0)*np.sign(alpha*u)*(1.0/n - 1.0)*((abs(alpha*u)**n + 1)**(1.0/n - 1))**(I - 1)*((1 - 1.0/((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1)))**(1 - 1.0/n) - 1)**2*(abs(alpha*u)**n + 1)**(1.0/n - 2) - (2*alpha*n*np.exp(Ks)*abs(alpha*u)**(n - 1)*np.sign(alpha*u)*(1.0/n - 1)*((abs(alpha*u)**n + 1)**(1.0/n - 1))**I*((1 - 1.0/((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1)))**(1 - 1.0/n) - 1)*(abs(alpha*u)**n + 1)**(1.0/n - 2))/(((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1))+ 1)*(1 - 1.0/((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1)))**(1.0/n)
|
||||
g = I*alpha*n*np.exp(Ks)*abs(alpha*u)**(n - 1.0)*np.sign(alpha*u)*(1.0/n - 1.0)*((abs(alpha*u)**n + 1)**(1.0/n - 1))**(I - 1)*((1 - 1.0/((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1)))**(1 - 1.0/n) - 1)**2*(abs(alpha*u)**n + 1)**(1.0/n - 2) - (2*alpha*n*np.exp(Ks)*abs(alpha*u)**(n - 1)*np.sign(alpha*u)*(1.0/n - 1)*((abs(alpha*u)**n + 1)**(1.0/n - 1))**I*((1 - 1.0/((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1)))**(1 - 1.0/n) - 1)*(abs(alpha*u)**n + 1)**(1.0/n - 2))/(((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1) + 1)*(1 - 1.0/((abs(alpha*u)**n + 1)**(1.0/n - 1))**(1.0/(1.0/n - 1)))**(1.0/n))
|
||||
g[u >= 0] = 0
|
||||
g = Utils.sdiag(g)
|
||||
return g
|
||||
|
||||
@@ -1,12 +1,5 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
from SimPEG import *
|
||||
from .Empirical import RichardsMap
|
||||
from Empirical import RichardsMap
|
||||
import time
|
||||
|
||||
|
||||
@@ -68,7 +61,7 @@ class RichardsSurvey(Survey.BaseSurvey):
|
||||
|
||||
@Utils.requires('prob')
|
||||
def eval(self, U, m):
|
||||
Ds = list(range(len(self.rxList)))
|
||||
Ds = range(len(self.rxList))
|
||||
for ii, rx in enumerate(self.rxList):
|
||||
Ds[ii] = rx.eval(U, m,
|
||||
self.prob.mapping,
|
||||
@@ -80,7 +73,7 @@ class RichardsSurvey(Survey.BaseSurvey):
|
||||
@Utils.requires('prob')
|
||||
def evalDeriv(self, U, m):
|
||||
"""The Derivative with respect to the fields."""
|
||||
Ds = list(range(len(self.rxList)))
|
||||
Ds = range(len(self.rxList))
|
||||
for ii, rx in enumerate(self.rxList):
|
||||
Ds[ii] = rx.evalDeriv(U, m,
|
||||
self.prob.mapping,
|
||||
@@ -142,12 +135,12 @@ class RichardsProblem(Problem.BaseTimeProblem):
|
||||
@Utils.timeIt
|
||||
def fields(self, m):
|
||||
tic = time.time()
|
||||
u = list(range(self.nT+1))
|
||||
u = range(self.nT+1)
|
||||
u[0] = self.initialConditions
|
||||
for ii, dt in enumerate(self.timeSteps):
|
||||
bc = self.getBoundaryConditions(ii, u[ii])
|
||||
u[ii+1] = self.rootFinder.root(lambda hn1m, return_g=True: self.getResidual(m, u[ii], hn1m, dt, bc, return_g=return_g), u[ii])
|
||||
if self.debug: print("Solving Fields (%4d/%d - %3.1f%% Done) %d Iterations, %4.2f seconds"%(ii+1, self.nT, 100.0*(ii+1)/self.nT, self.rootFinder.iter, time.time() - tic))
|
||||
if self.debug: print "Solving Fields (%4d/%d - %3.1f%% Done) %d Iterations, %4.2f seconds"%(ii+1, self.nT, 100.0*(ii+1)/self.nT, self.rootFinder.iter, time.time() - tic)
|
||||
return u
|
||||
|
||||
@Utils.timeIt
|
||||
@@ -245,7 +238,7 @@ class RichardsProblem(Problem.BaseTimeProblem):
|
||||
f = self.fields(m)
|
||||
|
||||
nn = len(f)-1
|
||||
Asubs, Adiags, Bs = list(range(nn)), list(range(nn)), list(range(nn))
|
||||
Asubs, Adiags, Bs = range(nn), range(nn), range(nn)
|
||||
for ii in range(nn):
|
||||
dt = self.timeSteps[ii]
|
||||
bc = self.getBoundaryConditions(ii, f[ii])
|
||||
@@ -270,7 +263,7 @@ class RichardsProblem(Problem.BaseTimeProblem):
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
JvC = list(range(len(f)-1)) # Cell to hold each row of the long vector.
|
||||
JvC = range(len(f)-1) # Cell to hold each row of the long vector.
|
||||
|
||||
# This is done via forward substitution.
|
||||
bc = self.getBoundaryConditions(0, f[0])
|
||||
@@ -302,7 +295,7 @@ class RichardsProblem(Problem.BaseTimeProblem):
|
||||
bc = self.getBoundaryConditions(ii-1, f[ii-1])
|
||||
Asub, Adiag, B = self.diagsJacobian(m, f[ii-1], f[ii], self.timeSteps[ii-1], bc)
|
||||
#select the correct part of v
|
||||
vpart = list(range((ii)*Adiag.shape[0], (ii+1)*Adiag.shape[0]))
|
||||
vpart = range((ii)*Adiag.shape[0], (ii+1)*Adiag.shape[0])
|
||||
AdiaginvT = self.Solver(Adiag.T, **self.solverOpts)
|
||||
JTvC = AdiaginvT * (PTv[vpart] - minus)
|
||||
minus = Asub.T*JTvC # this is now the super diagonal.
|
||||
|
||||
@@ -1,8 +1,2 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from . import Empirical
|
||||
from .RichardsProblem import *
|
||||
import Empirical
|
||||
from RichardsProblem import *
|
||||
|
||||
@@ -1,7 +1 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from . import Richards
|
||||
import Richards
|
||||
|
||||
+2
-11
@@ -1,13 +1,4 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import range
|
||||
from builtins import object
|
||||
from . import Utils
|
||||
import numpy as np, scipy.sparse as sp
|
||||
import Utils, numpy as np, scipy.sparse as sp
|
||||
|
||||
class Fields(object):
|
||||
"""Fancy Field Storage
|
||||
@@ -253,7 +244,7 @@ class TimeFields(Fields):
|
||||
out = func(pointerFields, srcII, timeII)
|
||||
else: #loop over the time steps
|
||||
nT = pointerShape[2]
|
||||
out = list(range(nT))
|
||||
out = range(nT)
|
||||
for i, TIND_i in enumerate(timeII):
|
||||
fieldI = pointerFields[:,:,i]
|
||||
if fieldI.shape[0] == fieldI.size:
|
||||
|
||||
+12
-19
@@ -1,21 +1,14 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import object
|
||||
from . import Utils, Survey, Problem
|
||||
import numpy as np, scipy.sparse as sp, gc
|
||||
from .Utils.SolverUtils import *
|
||||
from . import DataMisfit
|
||||
from . import Regularization
|
||||
from future.utils import with_metaclass
|
||||
import Utils, Survey, Problem, numpy as np, scipy.sparse as sp, gc
|
||||
from Utils.SolverUtils import *
|
||||
import DataMisfit
|
||||
import Regularization
|
||||
|
||||
|
||||
class BaseInvProblem(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
class BaseInvProblem(object):
|
||||
"""BaseInvProblem(dmisfit, reg, opt)"""
|
||||
|
||||
__metaclass__ = Utils.SimPEGMetaClass
|
||||
|
||||
beta = 1.0 #: Trade-off parameter
|
||||
|
||||
debug = False #: Print debugging information
|
||||
@@ -61,10 +54,10 @@ class BaseInvProblem(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
|
||||
Called when inversion is first starting.
|
||||
"""
|
||||
if self.debug: print('Calling InvProblem.startup')
|
||||
if self.debug: print 'Calling InvProblem.startup'
|
||||
|
||||
if self.reg.mref is None:
|
||||
print('SimPEG.InvProblem will set Regularization.mref to m0.')
|
||||
print 'SimPEG.InvProblem will set Regularization.mref to m0.'
|
||||
self.reg.mref = m0
|
||||
|
||||
self.phi_d = np.nan
|
||||
@@ -72,8 +65,8 @@ class BaseInvProblem(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
|
||||
self.curModel = m0
|
||||
|
||||
print("""SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.
|
||||
***Done using same Solver and solverOpts as the problem***""")
|
||||
print """SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.
|
||||
***Done using same Solver and solverOpts as the problem***"""
|
||||
self.opt.bfgsH0 = self.prob.Solver(self.reg.eval2Deriv(self.curModel), **self.prob.solverOpts)
|
||||
|
||||
@property
|
||||
@@ -94,7 +87,7 @@ class BaseInvProblem(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
for mtest, u_ofmtest in self.warmstart:
|
||||
if m is mtest:
|
||||
f = u_ofmtest
|
||||
if self.debug: print('InvProb is Warm Starting!')
|
||||
if self.debug: print 'InvProb is Warm Starting!'
|
||||
break
|
||||
|
||||
if f is None:
|
||||
|
||||
+6
-14
@@ -1,24 +1,18 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import object
|
||||
import SimPEG
|
||||
from SimPEG import Utils, sp, np
|
||||
from .Optimization import Remember, IterationPrinters, StoppingCriteria
|
||||
from . import Directives
|
||||
from future.utils import with_metaclass
|
||||
from Optimization import Remember, IterationPrinters, StoppingCriteria
|
||||
import Directives
|
||||
|
||||
|
||||
class BaseInversion(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
class BaseInversion(object):
|
||||
"""
|
||||
|
||||
Inversion Class.
|
||||
|
||||
"""
|
||||
|
||||
__metaclass__ = Utils.SimPEGMetaClass
|
||||
|
||||
name = 'BaseInversion'
|
||||
|
||||
debug = False #: Print debugging information
|
||||
@@ -39,9 +33,7 @@ class BaseInversion(with_metaclass(Utils.SimPEGMetaClass, object)):
|
||||
self._directiveList = value
|
||||
self._directiveList.inversion = self
|
||||
|
||||
def __init__(self, invProb, directiveList=None, **kwargs):
|
||||
if directiveList is None:
|
||||
directiveList = []
|
||||
def __init__(self, invProb, directiveList=[], **kwargs):
|
||||
self.directiveList = directiveList
|
||||
Utils.setKwargs(self, **kwargs)
|
||||
|
||||
|
||||
+3
-9
@@ -1,13 +1,7 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import SolverLU as SimpegSolver, PropMaps, Utils, mkvc, sp, np
|
||||
from SimPEG.EM.FDEM.ProblemFDEM import BaseFDEMProblem
|
||||
from .SurveyMT import Survey, Data
|
||||
from .FieldsMT import BaseMTFields
|
||||
from SimPEG.EM.FDEM.FDEM import BaseFDEMProblem
|
||||
from SurveyMT import Survey, Data
|
||||
from FieldsMT import BaseMTFields
|
||||
|
||||
|
||||
class BaseMTProblem(BaseFDEMProblem):
|
||||
|
||||
+6
-12
@@ -1,9 +1,3 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import Survey, Utils, Problem, np, sp, mkvc
|
||||
from scipy.constants import mu_0
|
||||
import sys
|
||||
@@ -69,7 +63,7 @@ class Fields1D_e(BaseMTFields):
|
||||
C = self.mesh.nodalGrad
|
||||
b = (C * eSolution)
|
||||
for i, src in enumerate(srcList):
|
||||
b[:,i] *= -1./(1j*omega(src.freq))
|
||||
b[:,i] *= - 1./(1j*omega(src.freq))
|
||||
# There is no magnetic source in the MT problem
|
||||
# S_m, _ = src.eval(self.survey.prob)
|
||||
# if S_m is not None:
|
||||
@@ -194,7 +188,7 @@ class Fields3D_e(BaseMTFields):
|
||||
# adjoint: returns a 2*nE long vector with zero's for py
|
||||
return np.vstack((v,np.zeros_like(v)))
|
||||
# Not adjoint: return only the px part of the vector
|
||||
return v[:len(v)//2]
|
||||
return v[:len(v)/2]
|
||||
|
||||
def _e_pyDeriv_u(self, src, v, adjoint = False):
|
||||
'''
|
||||
@@ -204,7 +198,7 @@ class Fields3D_e(BaseMTFields):
|
||||
# adjoint: returns a 2*nE long vector with zero's for px
|
||||
return np.vstack((np.zeros_like(v),v))
|
||||
# Not adjoint: return only the px part of the vector
|
||||
return v[len(v)//2::]
|
||||
return v[len(v)/2::]
|
||||
|
||||
def _e_pxDeriv_m(self, src, v, adjoint = False):
|
||||
# assuming primary does not depend on the model
|
||||
@@ -233,7 +227,7 @@ class Fields3D_e(BaseMTFields):
|
||||
C = self.mesh.edgeCurl
|
||||
b = (C * e_pxSolution)
|
||||
for i, src in enumerate(srcList):
|
||||
b[:,i] *= -1./(1j*omega(src.freq))
|
||||
b[:,i] *= - 1./(1j*omega(src.freq))
|
||||
# There is no magnetic source in the MT problem
|
||||
# S_m, _ = src.eval(self.survey.prob)
|
||||
# if S_m is not None:
|
||||
@@ -244,7 +238,7 @@ class Fields3D_e(BaseMTFields):
|
||||
C = self.mesh.edgeCurl
|
||||
b = (C * e_pySolution)
|
||||
for i, src in enumerate(srcList):
|
||||
b[:,i] *= -1./(1j*omega(src.freq))
|
||||
b[:,i] *= - 1./(1j*omega(src.freq))
|
||||
# There is no magnetic source in the MT problem
|
||||
# S_m, _ = src.eval(self.survey.prob)
|
||||
# if S_m is not None:
|
||||
@@ -354,4 +348,4 @@ class Fields3D_e(BaseMTFields):
|
||||
This function stacks the fields derivatives appropriately
|
||||
"""
|
||||
# The fields have no dependance to the model.
|
||||
return None
|
||||
return None
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG.EM.Utils import omega
|
||||
from SimPEG import mkvc
|
||||
from scipy.constants import mu_0
|
||||
@@ -52,7 +46,7 @@ class eForm_psField(BaseMTProblem):
|
||||
Edge inner product matrix
|
||||
"""
|
||||
if getattr(self, '_MeMui', None) is None:
|
||||
self._MeMui = self.mesh.getEdgeInnerProduct(old_div(1.0,mu_0))
|
||||
self._MeMui = self.mesh.getEdgeInnerProduct(1.0/mu_0)
|
||||
return self._MeMui
|
||||
|
||||
@property
|
||||
@@ -148,7 +142,7 @@ class eForm_psField(BaseMTProblem):
|
||||
for freq in self.survey.freqs:
|
||||
if self.verbose:
|
||||
startTime = time.time()
|
||||
print('Starting work for {:.3e}'.format(freq))
|
||||
print 'Starting work for {:.3e}'.format(freq)
|
||||
sys.stdout.flush()
|
||||
A = self.getA(freq)
|
||||
rhs = self.getRHS(freq)
|
||||
@@ -164,7 +158,7 @@ class eForm_psField(BaseMTProblem):
|
||||
# b = -( self.mesh.nodalGrad * e )/( 1j*omega(freq) )
|
||||
# F[Src, 'b_1d'] = b[:,1]
|
||||
if self.verbose:
|
||||
print('Ran for {:f} seconds'.format(time.time()-startTime))
|
||||
print 'Ran for {:f} seconds'.format(time.time()-startTime)
|
||||
sys.stdout.flush()
|
||||
return F
|
||||
|
||||
@@ -197,7 +191,7 @@ class eForm_TotalField(BaseMTProblem):
|
||||
Edge inner product matrix
|
||||
"""
|
||||
if getattr(self, '_MeMui', None) is None:
|
||||
self._MeMui = self.mesh.getEdgeInnerProduct(old_div(1.0,mu_0))
|
||||
self._MeMui = self.mesh.getEdgeInnerProduct(1.0/mu_0)
|
||||
return self._MeMui
|
||||
|
||||
@property
|
||||
@@ -255,7 +249,7 @@ class eForm_TotalField(BaseMTProblem):
|
||||
Ed, Eu, Hd, Hu = getEHfields(self.mesh,self.curModel.sigma,freq,self.mesh.vectorNx)
|
||||
Etot = (Ed + Eu)
|
||||
sourceAmp = 1.0
|
||||
Etot = ((old_div(Etot,Etot[-1]))*sourceAmp) # Scale the fields to be equal to sourceAmp at the top
|
||||
Etot = ((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
|
||||
@@ -280,7 +274,7 @@ class eForm_TotalField(BaseMTProblem):
|
||||
for freq in self.survey.freqs:
|
||||
if self.verbose:
|
||||
startTime = time.time()
|
||||
print('Starting work for {:.3e}'.format(freq))
|
||||
print 'Starting work for {:.3e}'.format(freq)
|
||||
sys.stdout.flush()
|
||||
A = self.getA(freq)
|
||||
rhs, e_o = self.getRHS(freq)
|
||||
@@ -292,6 +286,6 @@ class eForm_TotalField(BaseMTProblem):
|
||||
# NOTE: only store e fields
|
||||
F[Src, 'e_1dSolution'] = e[:,0]
|
||||
if self.verbose:
|
||||
print('Ran for {:f} seconds'.format(time.time()-startTime))
|
||||
print 'Ran for {:f} seconds'.format(time.time()-startTime)
|
||||
sys.stdout.flush()
|
||||
return F
|
||||
|
||||
@@ -1,7 +1 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .Probs import eForm_TotalField, eForm_psField
|
||||
from Probs import eForm_TotalField, eForm_psField
|
||||
@@ -1,7 +1 @@
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
pass
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import print_function
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import division
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from SimPEG import Survey, Problem, Utils, Models, np, sp, mkvc, SolverLU as SimpegSolver
|
||||
from SimPEG.EM.Utils import omega
|
||||
from scipy.constants import mu_0
|
||||
@@ -121,7 +115,7 @@ class eForm_ps(BaseMTProblem):
|
||||
for freq in self.survey.freqs:
|
||||
if self.verbose:
|
||||
startTime = time.time()
|
||||
print('Starting work for {:.3e}'.format(freq))
|
||||
print 'Starting work for {:.3e}'.format(freq)
|
||||
sys.stdout.flush()
|
||||
A = self.getA(freq)
|
||||
rhs = self.getRHS(freq)
|
||||
@@ -137,7 +131,7 @@ class eForm_ps(BaseMTProblem):
|
||||
# Note curl e = -iwb so b = -curl/iw
|
||||
|
||||
if self.verbose:
|
||||
print('Ran for {:f} seconds'.format(time.time()-startTime))
|
||||
print 'Ran for {:f} seconds'.format(time.time()-startTime)
|
||||
sys.stdout.flush()
|
||||
Ainv.clean()
|
||||
return F
|
||||
|
||||
@@ -1,7 +1 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .Probs import eForm_ps
|
||||
from Probs import eForm_ps
|
||||
+6
-12
@@ -1,16 +1,10 @@
|
||||
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
|
||||
|
||||
#################
|
||||
@@ -84,7 +78,7 @@ class polxy_1Dprimary(BaseMTSrc):
|
||||
C = problem.mesh.nodalGrad
|
||||
elif problem.mesh.dim == 3:
|
||||
C = problem.mesh.edgeCurl
|
||||
bBG_bp = (- C * self.ePrimary(problem) )*(1/(1j*omega(self.freq)))
|
||||
bBG_bp = (- C * self.ePrimary(problem) )*(1/( 1j*omega(self.freq) ))
|
||||
return bBG_bp
|
||||
|
||||
def S_e(self,problem):
|
||||
@@ -92,7 +86,7 @@ class polxy_1Dprimary(BaseMTSrc):
|
||||
Get the electrical field source
|
||||
"""
|
||||
e_p = self.ePrimary(problem)
|
||||
Map_sigma_p = Maps.SurjectVertical1D(problem.mesh)
|
||||
Map_sigma_p = Maps.Vertical1DMap(problem.mesh)
|
||||
sigma_p = Map_sigma_p._transform(self.sigma1d)
|
||||
# Make mass matrix
|
||||
# Note: M(sig) - M(sig_p) = M(sig - sig_p)
|
||||
@@ -161,7 +155,7 @@ class polxy_3Dprimary(BaseMTSrc):
|
||||
C = problem.mesh.nodalGrad
|
||||
elif problem.mesh.dim == 3:
|
||||
C = problem.mesh.edgeCurl
|
||||
bBG_bp = (- C * self.ePrimary(problem) )*(1/(1j*omega(self.freq)))
|
||||
bBG_bp = (- C * self.ePrimary(problem) )*(1/( 1j*omega(self.freq) ))
|
||||
return bBG_bp
|
||||
|
||||
def S_e(self,problem):
|
||||
@@ -169,7 +163,7 @@ class polxy_3Dprimary(BaseMTSrc):
|
||||
Get the electrical field source
|
||||
"""
|
||||
e_p = self.ePrimary(problem)
|
||||
Map_sigma_p = Maps.SurjectVertical1D(problem.mesh)
|
||||
Map_sigma_p = Maps.Vertical1DMap(problem.mesh)
|
||||
sigma_p = Map_sigma_p._transform(self.sigma1d)
|
||||
# Make mass matrix
|
||||
# Note: M(sig) - M(sig_p) = M(sig - sig_p)
|
||||
|
||||
+21
-27
@@ -1,16 +1,10 @@
|
||||
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
|
||||
from . import SrcMT
|
||||
from Utils import rec2ndarr
|
||||
import SrcMT
|
||||
import sys
|
||||
|
||||
#################
|
||||
@@ -82,7 +76,7 @@ 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 = old_div(-ex,bx)
|
||||
f_part_complex = -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.
|
||||
@@ -109,13 +103,13 @@ 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 = old_div(( ex_px*hy_py - ex_py*hy_px),(hx_px*hy_py - hx_py*hy_px))
|
||||
f_part_complex = ( ex_px*hy_py - ex_py*hy_px)/(hx_px*hy_py - hx_py*hy_px)
|
||||
elif 'zxy' in self.rxType:
|
||||
f_part_complex = old_div((-ex_px*hx_py + ex_py*hx_px),(hx_px*hy_py - hx_py*hy_px))
|
||||
f_part_complex = (-ex_px*hx_py + ex_py*hx_px)/(hx_px*hy_py - hx_py*hy_px)
|
||||
elif 'zyx' in self.rxType:
|
||||
f_part_complex = old_div(( ey_px*hy_py - ey_py*hy_px),(hx_px*hy_py - hx_py*hy_px))
|
||||
f_part_complex = ( ey_px*hy_py - ey_py*hy_px)/(hx_px*hy_py - hx_py*hy_px)
|
||||
elif 'zyy' in self.rxType:
|
||||
f_part_complex = old_div((-ey_px*hx_py + ey_py*hx_px),(hx_px*hy_py - hx_py*hy_px))
|
||||
f_part_complex = (-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]
|
||||
@@ -133,9 +127,9 @@ 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 = old_div((- by_px*bz_py + by_py*bz_px),(bx_px*by_py - bx_py*by_px))
|
||||
f_part_complex = (- by_px*bz_py + by_py*bz_px)/(bx_px*by_py - bx_py*by_px)
|
||||
if 'tzy' in self.rxType:
|
||||
f_part_complex = old_div(( bx_px*bz_py - bx_py*bz_px),(bx_px*by_py - bx_py*by_px))
|
||||
f_part_complex = ( 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))
|
||||
@@ -163,8 +157,8 @@ 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(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)
|
||||
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)
|
||||
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')
|
||||
@@ -204,7 +198,7 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
# Update the input vector
|
||||
sDiag = lambda t: Utils.sdiag(mkvc(t,2))
|
||||
# Define the components of the derivative
|
||||
Hd = sDiag(old_div(1.,(sDiag(hx_px)*hy_py - sDiag(hx_py)*hy_px)))
|
||||
Hd = sDiag(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:
|
||||
@@ -253,7 +247,7 @@ class Rx(SimPEGsurvey.BaseRx):
|
||||
# Update the input vector
|
||||
sDiag = lambda t: Utils.sdiag(mkvc(t,2))
|
||||
# Define the components of the derivative
|
||||
Hd = sDiag(old_div(1.,(sDiag(bx_px)*by_py - sDiag(bx_py)*by_px)))
|
||||
Hd = sDiag(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 ))
|
||||
@@ -273,8 +267,8 @@ 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(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_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_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':
|
||||
@@ -306,17 +300,17 @@ 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: 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)
|
||||
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
|
||||
|
||||
# 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(old_div(1.,(sDiag(ahx_px)*ahy_py - sDiag(ahx_py)*ahy_px)))
|
||||
aHd = sDiag(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:
|
||||
@@ -368,7 +362,7 @@ 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(old_div(1.,(sDiag(abx_px)*aby_py - sDiag(abx_py)*aby_px)))
|
||||
aHd = sDiag(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:
|
||||
|
||||
@@ -1,10 +1,3 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from builtins import zip
|
||||
# Analytic solution of EM fields due to a plane wave
|
||||
|
||||
import numpy as np, SimPEG as simpeg
|
||||
@@ -40,8 +33,8 @@ def getEHfields(m1d,sigma,freq,zd,scaleUD=True):
|
||||
# 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 = 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
|
||||
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
|
||||
# Build the propagation matrix
|
||||
|
||||
# Convert fields to down/up going components in layer below current layer
|
||||
@@ -55,7 +48,7 @@ def getEHfields(m1d,sigma,freq,zd,scaleUD=True):
|
||||
UDp[:,lnr+1] = elamh.dot(Pjinv.dot(Pj1)).dot(UDp[:,lnr])
|
||||
|
||||
if scaleUD:
|
||||
UDp[:,lnr+1::-1] = old_div(UDp[:,lnr+1::-1],UDp[1,lnr+1])
|
||||
UDp[:,lnr+1::-1] = UDp[:,lnr+1::-1]/UDp[1,lnr+1]
|
||||
|
||||
# Calculate the fields
|
||||
Ed = np.empty((zd.size,),dtype=complex)
|
||||
@@ -69,14 +62,14 @@ def getEHfields(m1d,sigma,freq,zd,scaleUD=True):
|
||||
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] = (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]))
|
||||
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]))
|
||||
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] = (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]))
|
||||
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]))
|
||||
|
||||
# Return return the fields
|
||||
return Ed, Eu, Hd, Hu
|
||||
@@ -99,15 +92,15 @@ 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] = old_div((mu_0*om),np.sqrt(mu_0*eps_0*(om)**2 - 1j*mu_0*sigma[0]*om))
|
||||
Zall[0] = (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 = old_div((mu_0*om),k)
|
||||
Z = (mu_0*om)/k
|
||||
|
||||
Zall[nr+1] = Z *(old_div((Zall[nr] + Z*np.tanh(1j*k*hi)),(Z + Zall[nr]*np.tanh(1j*k*hi))))
|
||||
Zall[nr+1] = Z *((Zall[nr] + Z*np.tanh(1j*k*hi))/(Z + Zall[nr]*np.tanh(1j*k*hi)))
|
||||
|
||||
#pdb.set_trace()
|
||||
Z1d[nrFr] = Zall[-1]
|
||||
|
||||
@@ -1,11 +1,5 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
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):
|
||||
@@ -15,7 +9,7 @@ def get1DEfields(m1d,sigma,freq,sourceAmp=1.0):
|
||||
G = m1d.nodalGrad
|
||||
# Mass matrices
|
||||
# Magnetic permeability
|
||||
Mmu = simpeg.Utils.sdiag(m1d.vol*(old_div(1.0,mu_0)))
|
||||
Mmu = simpeg.Utils.sdiag(m1d.vol*(1.0/mu_0))
|
||||
# Conductivity
|
||||
Msig = m1d.getFaceInnerProduct(sigma)
|
||||
# Set up the solution matrix
|
||||
@@ -29,7 +23,7 @@ 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 = ((old_div(Etot,Etot[-1]))*sourceAmp) # Scale the fields to be equal to sourceAmp at the top
|
||||
Etot = ((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
|
||||
|
||||
@@ -1,10 +1,4 @@
|
||||
from __future__ import absolute_import
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import division
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from .MT1Dsolutions import * # Add the names of the functions
|
||||
from .MT1Danalytic import *
|
||||
from .dataUtils import *
|
||||
from .ediFilesUtils import *
|
||||
from MT1Dsolutions import * # Add the names of the functions
|
||||
from MT1Danalytic import *
|
||||
from dataUtils import *
|
||||
from ediFilesUtils import *
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
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
|
||||
@@ -25,7 +19,7 @@ def getAppRes(MTdata):
|
||||
zList.append(zc)
|
||||
return [appResPhs(zList[i][0],np.sum(zList[i][1:3])) for i in np.arange(len(zList))]
|
||||
|
||||
def rotateData(MTdata, rotAngle):
|
||||
def rotateData(MTdata,rotAngle):
|
||||
'''
|
||||
Function that rotates clockwist by rotAngle (- negative for a counter-clockwise rotation)
|
||||
'''
|
||||
@@ -50,19 +44,19 @@ def rotateData(MTdata, rotAngle):
|
||||
return MT.Data.fromRecArray(outRec)
|
||||
|
||||
|
||||
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))
|
||||
def appResPhs(freq,z):
|
||||
app_res = ((1./(8e-7*np.pi**2))/freq)*np.abs(z)**2
|
||||
app_phs = np.arctan2(z.imag,z.real)*(180/np.pi)
|
||||
return app_res, app_phs
|
||||
|
||||
def skindepth(rho, freq):
|
||||
def skindepth(rho,freq):
|
||||
''' Function to calculate the skindepth of EM waves'''
|
||||
return np.sqrt( (rho*((old_div(1,(freq * mu_0 * np.pi ))))))
|
||||
return np.sqrt( (rho*((1/(freq * mu_0 * np.pi )))))
|
||||
|
||||
def rec2ndarr(x, dt=float):
|
||||
def rec2ndarr(x,dt=float):
|
||||
return x.view((dt, len(x.dtype.names)))
|
||||
|
||||
def makeAnalyticSolution(mesh, model, elev, freqs):
|
||||
def makeAnalyticSolution(mesh,model,elev,freqs):
|
||||
from SimPEG import MT
|
||||
data1D = []
|
||||
for freq in freqs:
|
||||
@@ -70,13 +64,13 @@ def makeAnalyticSolution(mesh, model, elev, freqs):
|
||||
anaE = anaEd+anaEu
|
||||
anaH = anaHd+anaHu
|
||||
|
||||
anaZ = old_div(anaE,anaH)
|
||||
anaZ = 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):
|
||||
def plotMT1DModelData(problem,models,symList=None):
|
||||
from SimPEG import MT
|
||||
# Setup the figure
|
||||
fontSize = 15
|
||||
@@ -103,7 +97,7 @@ def plotMT1DModelData(problem, models, symList=None):
|
||||
|
||||
# if not symList:
|
||||
# symList = ['x']*len(models)
|
||||
from . import plotDataTypes as pDt
|
||||
import plotDataTypes as pDt
|
||||
# Loop through the models.
|
||||
modelList = [problem.survey.mtrue]
|
||||
modelList.extend(models)
|
||||
@@ -116,14 +110,14 @@ 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 = old_div(nr,((len(modelList)-1.999)*1.))
|
||||
colRat = 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(old_div(1.,(problem.mapping.sigmaMap*model)),np.ones(2,))
|
||||
modelPts = np.kron(1./(problem.mapping.sigmaMap*model),np.ones(2,))
|
||||
axM.semilogx(modelPts,meshPts,color=col)
|
||||
|
||||
## Data
|
||||
@@ -150,7 +144,7 @@ def plotMT1DModelData(problem, models, symList=None):
|
||||
|
||||
# Fix labels and ticks
|
||||
|
||||
yMtick = [old_div(l,1000) for l in axM.get_yticks().tolist()]
|
||||
yMtick = [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()]
|
||||
@@ -163,7 +157,7 @@ def plotMT1DModelData(problem, models, symList=None):
|
||||
|
||||
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(MTdata,rxType3D='zyx'):
|
||||
from SimPEG import MT
|
||||
|
||||
@@ -1,12 +1,3 @@
|
||||
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 object
|
||||
# Functions to import and export MT EDI files.
|
||||
from SimPEG import mkvc
|
||||
from scipy.constants import mu_0
|
||||
@@ -16,26 +7,27 @@ from SimPEG.MT.Utils.dataUtils import rec2ndarr
|
||||
# Import modules
|
||||
import numpy as np
|
||||
import os, sys, re
|
||||
try:
|
||||
import osr
|
||||
except ImportError as e:
|
||||
print 'Could not import osr, missing the gdal package'
|
||||
pass
|
||||
|
||||
|
||||
class EDIimporter(object):
|
||||
class EDIimporter:
|
||||
"""
|
||||
A class to import EDIfiles.
|
||||
|
||||
"""
|
||||
|
||||
|
||||
# Define data converters
|
||||
_impUnitEDI2SI = 4*np.pi*1e-4 # Convert Z[mV/km/nT] (as in EDI)to Z[V/A] SI unit
|
||||
_impUnitSI2EDI = old_div(1.,_impUnitEDI2SI) # ConvertZ[V/A] SI unit to Z[mV/km/nT] (as in EDI)
|
||||
_impUnitSI2EDI = 1./_impUnitEDI2SI # ConvertZ[V/A] SI unit to Z[mV/km/nT] (as in EDI)
|
||||
|
||||
# Properties
|
||||
filesList = None
|
||||
comps = None
|
||||
|
||||
# Hidden properties
|
||||
_outEPSG = None # Project info
|
||||
_2out = None # The projection operator
|
||||
_outEPSG = None
|
||||
_2out = None
|
||||
|
||||
|
||||
def __init__(self, EDIfilesList, compList=None, outEPSG=None):
|
||||
@@ -121,12 +113,6 @@ class EDIimporter(object):
|
||||
# nOutData=length(obj.data);
|
||||
# obj.data(nOutData+1:nOutData+length(TEMP.data),:) = TEMP.data;
|
||||
def _transfromPoints(self,longD,latD):
|
||||
# Import the coordinate projections
|
||||
try:
|
||||
import osr
|
||||
except ImportError as e:
|
||||
print('Could not import osr, missing the gdal package\nCan not project coordinates')
|
||||
raise e
|
||||
# Coordinates convertor
|
||||
if self._2out is None:
|
||||
src = osr.SpatialReference()
|
||||
@@ -135,7 +121,7 @@ class EDIimporter(object):
|
||||
if self._outEPSG is None:
|
||||
# Find the UTM EPSG number
|
||||
Nnr = 700 if latD < 0.0 else 600
|
||||
utmZ = int(1+old_div((longD+180.0),6.0))
|
||||
utmZ = int(1+(longD+180.0)/6.0)
|
||||
self._outEPSG = 32000 + Nnr + utmZ
|
||||
out.ImportFromEPSG(self._outEPSG)
|
||||
self._2out = osr.CoordinateTransformation(src,out)
|
||||
|
||||
@@ -1,9 +1,3 @@
|
||||
from __future__ import division
|
||||
from __future__ import unicode_literals
|
||||
from __future__ import print_function
|
||||
from __future__ import absolute_import
|
||||
from future import standard_library
|
||||
standard_library.install_aliases()
|
||||
from matplotlib import pyplot as plt, colors, numpy as np
|
||||
|
||||
|
||||
@@ -41,7 +35,7 @@ def plotIsoFreqNSimpedance(ax,freq,array,flag,par='abs',colorbar=True,colorNorm=
|
||||
cmap = plt.get_cmap('RdYlBu')
|
||||
level = np.concatenate((-np.logspace(0,-10,31),np.logspace(-10,0,31)))
|
||||
clevel = np.concatenate((-np.logspace(0,-8,5),np.logspace(-8,0,5)))
|
||||
plotNorm = colors.SymLogNorm(1e-10,linscale=2)
|
||||
plotNorm = colors.SymLogNorm(1e-10,linscale=2)
|
||||
if cLevel:
|
||||
level = np.concatenate((-np.logspace(0,-10,31),np.logspace(-10,0,31)))
|
||||
clevel = np.concatenate((-np.logspace(0,-8,5),np.logspace(-8,0,5)))
|
||||
@@ -71,45 +65,45 @@ def plotIsoFreqNSDiff(ax,freq,arrayList,flag,par='abs',colorbar=True,cLevel=True
|
||||
x, y = arrayList[0]['x'][indUniFreq0],arrayList[0]['y'][indUniFreq0]
|
||||
if par == 'abs':
|
||||
if useLog:
|
||||
zPlot = old_div((np.log10(np.abs(arrayList[0][flag][indUniFreq0])) - np.log10(np.abs(arrayList[1][flag][indUniFreq1]))),np.log10(np.abs(arrayList[1][flag][indUniFreq1])))
|
||||
zPlot = (np.log10(np.abs(arrayList[0][flag][indUniFreq0])) - np.log10(np.abs(arrayList[1][flag][indUniFreq1])))/np.log10(np.abs(arrayList[1][flag][indUniFreq1]))
|
||||
else:
|
||||
zPlot = old_div((np.abs(arrayList[0][flag][indUniFreq0]) - np.abs(arrayList[1][flag][indUniFreq1])),np.abs(arrayList[1][flag][indUniFreq1]))
|
||||
zPlot = (np.abs(arrayList[0][flag][indUniFreq0]) - np.abs(arrayList[1][flag][indUniFreq1]))/np.abs(arrayList[1][flag][indUniFreq1])
|
||||
if mask:
|
||||
maskInd = np.logical_or(np.abs(arrayList[0][flag][indUniFreq0])< 1e-3,np.abs(arrayList[1][flag][indUniFreq1]) < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
if cLevel:
|
||||
level = np.arange(-200,201,10)
|
||||
level = np.arange(-200,201,10)
|
||||
clevel = np.arange(-200,201,25)
|
||||
else:
|
||||
level = np.linspace(zPlot.min(),zPlot.max(),100)
|
||||
clevel = np.linspace(zPlot.min(),zPlot.max(),10)
|
||||
elif par == 'real':
|
||||
if useLog:
|
||||
zPlot = old_div((np.log10(np.real(arrayList[0][flag][indUniFreq0])) -np.log10(np.real(arrayList[1][flag][indUniFreq1]))),np.log10(np.abs((np.real(arrayList[1][flag][indUniFreq1])))))
|
||||
zPlot = (np.log10(np.real(arrayList[0][flag][indUniFreq0])) -np.log10(np.real(arrayList[1][flag][indUniFreq1])))/np.log10(np.abs((np.real(arrayList[1][flag][indUniFreq1]))))
|
||||
else:
|
||||
zPlot = old_div((np.real(arrayList[0][flag][indUniFreq0]) -np.real(arrayList[1][flag][indUniFreq1])),np.abs((np.real(arrayList[1][flag][indUniFreq1]))))
|
||||
zPlot = (np.real(arrayList[0][flag][indUniFreq0]) -np.real(arrayList[1][flag][indUniFreq1]))/np.abs((np.real(arrayList[1][flag][indUniFreq1])))
|
||||
if mask:
|
||||
maskInd = np.logical_or(np.abs(np.real(arrayList[0][flag][indUniFreq0])) < 1e-3,np.abs(np.real(arrayList[1][flag][indUniFreq1])) < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
if cLevel:
|
||||
level = np.arange(-200,201,10)
|
||||
level = np.arange(-200,201,10)
|
||||
clevel = np.arange(-200,201,25)
|
||||
else:
|
||||
level = np.linspace(zPlot.min(),zPlot.max(),100)
|
||||
clevel = np.linspace(zPlot.min(),zPlot.max(),10)
|
||||
elif par == 'imag':
|
||||
if useLog:
|
||||
zPlot = old_div((np.log10(np.imag(arrayList[0][flag][indUniFreq0])) -np.log10(np.imag(arrayList[1][flag][indUniFreq1]))),np.log10(np.abs((np.imag(arrayList[1][flag][indUniFreq1])))))
|
||||
zPlot = (np.log10(np.imag(arrayList[0][flag][indUniFreq0])) -np.log10(np.imag(arrayList[1][flag][indUniFreq1])))/np.log10(np.abs((np.imag(arrayList[1][flag][indUniFreq1]))))
|
||||
else:
|
||||
zPlot = old_div((np.imag(arrayList[0][flag][indUniFreq0]) -np.imag(arrayList[1][flag][indUniFreq1])),np.abs((np.imag(arrayList[1][flag][indUniFreq1]))))
|
||||
zPlot = (np.imag(arrayList[0][flag][indUniFreq0]) -np.imag(arrayList[1][flag][indUniFreq1]))/np.abs((np.imag(arrayList[1][flag][indUniFreq1])))
|
||||
if mask:
|
||||
maskInd = np.logical_or(np.abs(np.imag(arrayList[0][flag][indUniFreq0])) < 1e-3,np.abs(np.imag(arrayList[1][flag][indUniFreq1])) < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
if cLevel:
|
||||
level = np.arange(-200,201,10)
|
||||
level = np.arange(-200,201,10)
|
||||
clevel = np.arange(-200,201,25)
|
||||
else:
|
||||
level = np.linspace(zPlot.min(),zPlot.max(),100)
|
||||
@@ -180,13 +174,13 @@ def plotIsoFreqNStipper(ax,freq,array,flag,par='abs',colorbar=True,colorNorm='Sy
|
||||
plt.colorbar(cs,cax=ax.cax,ticks=clevel,format='%1.2e')
|
||||
ax.set_title(flag+' '+par,fontsize=8)
|
||||
|
||||
def plotIsoStaImpedance(ax,loc,array,flag,par='abs',pSym='s',pColor=None):
|
||||
|
||||
appResFact = old_div(1,(8*np.pi**2*10**(-7)))
|
||||
def plotIsoStaImpedance(ax,loc,array,flag,par='abs',pSym='s',pColor=None):
|
||||
|
||||
appResFact = 1/(8*np.pi**2*10**(-7))
|
||||
treshold = 1.0 # 1 meter
|
||||
indUniSta = np.sqrt(np.sum((rec2nd(array[['x','y']])-loc)**2,axis=1)) < treshold
|
||||
freq = array['freq'][indUniSta]
|
||||
|
||||
|
||||
if par == 'abs':
|
||||
zPlot = np.abs(array[flag][indUniSta])
|
||||
elif par == 'real':
|
||||
@@ -194,9 +188,9 @@ def plotIsoStaImpedance(ax,loc,array,flag,par='abs',pSym='s',pColor=None):
|
||||
elif par == 'imag':
|
||||
zPlot = np.imag(array[flag][indUniSta])
|
||||
elif par == 'res':
|
||||
zPlot = (old_div(appResFact,freq))*np.abs(array[flag][indUniSta])**2
|
||||
zPlot = (appResFact/freq)*np.abs(array[flag][indUniSta])**2
|
||||
elif par == 'phs':
|
||||
zPlot = np.arctan2(array[flag][indUniSta].imag,array[flag][indUniSta].real)*(old_div(180,np.pi))
|
||||
zPlot = np.arctan2(array[flag][indUniSta].imag,array[flag][indUniSta].real)*(180/np.pi)
|
||||
|
||||
if not pColor:
|
||||
if 'xx' in flag:
|
||||
@@ -204,7 +198,7 @@ def plotIsoStaImpedance(ax,loc,array,flag,par='abs',pSym='s',pColor=None):
|
||||
pColor = 'g'
|
||||
elif 'xy' in flag:
|
||||
lab = 'XY'
|
||||
pColor = 'r'
|
||||
pColor = 'r'
|
||||
elif 'yx' in flag:
|
||||
lab = 'YX'
|
||||
pColor = 'b'
|
||||
@@ -213,14 +207,14 @@ def plotIsoStaImpedance(ax,loc,array,flag,par='abs',pSym='s',pColor=None):
|
||||
pColor = 'y'
|
||||
|
||||
ax.plot(freq,zPlot,color=pColor,marker=pSym,label=flag)
|
||||
|
||||
|
||||
|
||||
def plotPsudoSectNSimpedance(ax,sectDict,array,flag,par='abs',colorbar=True,colorNorm='None',cLevel=None,contour=True):
|
||||
|
||||
indSect = np.where(list(sectDict.values())[0]==array[list(sectDict.keys())[0]])
|
||||
indSect = np.where(sectDict.values()[0]==array[sectDict.keys()[0]])
|
||||
|
||||
# Define the plot axes
|
||||
if 'x' in list(sectDict.keys())[0]:
|
||||
if 'x' in sectDict.keys()[0]:
|
||||
x = array['y'][indSect]
|
||||
else:
|
||||
x = array['x'][indSect]
|
||||
@@ -235,9 +229,9 @@ def plotPsudoSectNSimpedance(ax,sectDict,array,flag,par='abs',colorbar=True,colo
|
||||
else:
|
||||
level = np.linspace(zPlot.min(),zPlot.max(),100,endpoint=True)
|
||||
clevel = np.linspace(zPlot.min(),zPlot.max(),10,endpoint=True)
|
||||
|
||||
elif par == 'ares':
|
||||
zPlot = old_div(np.abs(array[flag][indSect])**2,(8*np.pi**2*10**(-7)*array['freq'][indSect]))
|
||||
|
||||
elif par == 'ares':
|
||||
zPlot = np.abs(array[flag][indSect])**2/(8*np.pi**2*10**(-7)*array['freq'][indSect])
|
||||
cmap = plt.get_cmap('RdYlBu')#seismic)
|
||||
if cLevel:
|
||||
zMax = np.log10(cLevel[1])
|
||||
@@ -250,7 +244,7 @@ def plotPsudoSectNSimpedance(ax,sectDict,array,flag,par='abs',colorbar=True,colo
|
||||
plotNorm = colors.LogNorm()
|
||||
|
||||
elif par == 'aphs':
|
||||
zPlot = np.arctan2(array[flag][indSect].imag,array[flag][indSect].real)*(old_div(180,np.pi))
|
||||
zPlot = np.arctan2(array[flag][indSect].imag,array[flag][indSect].real)*(180/np.pi)
|
||||
cmap = plt.get_cmap('RdYlBu')#seismic)
|
||||
if cLevel:
|
||||
zMax = cLevel[1]
|
||||
@@ -277,7 +271,7 @@ def plotPsudoSectNSimpedance(ax,sectDict,array,flag,par='abs',colorbar=True,colo
|
||||
elif par == 'imag':
|
||||
zPlot = np.imag(array[flag][indSect])
|
||||
cmap = plt.get_cmap('Spectral') #('RdYlBu')
|
||||
|
||||
|
||||
if cLevel:
|
||||
zMax = np.log10(cLevel[1])
|
||||
zMin = np.log10(cLevel[0])
|
||||
@@ -287,7 +281,7 @@ def plotPsudoSectNSimpedance(ax,sectDict,array,flag,par='abs',colorbar=True,colo
|
||||
level = np.concatenate((-np.logspace(zMax,zMin-.125,(zMax-zMin)*8+1,endpoint=True),np.logspace(zMin-.125,zMax,(zMax-zMin)*8+1,endpoint=True)))
|
||||
clevel = np.concatenate((-np.logspace(zMax,zMin,(zMax-zMin)*1+1,endpoint=True),np.logspace(zMin,zMax,(zMax-zMin)*1+1,endpoint=True)))
|
||||
plotNorm = colors.SymLogNorm(np.abs(level).min(),linscale=0.1)
|
||||
|
||||
|
||||
if colorNorm=='SymLog':
|
||||
plotNorm = colors.SymLogNorm(np.abs(level).min(),linscale=0.1)
|
||||
elif colorNorm=='Lin':
|
||||
@@ -313,14 +307,14 @@ def plotPsudoSectNSDiff(ax,sectDict,arrayList,flag,par='abs',colorbar=True,color
|
||||
def sortInArr(arr):
|
||||
return np.sort(arr,order=['freq','x','y','z'])
|
||||
# Find the index for the slice
|
||||
indSect0 = np.where(list(sectDict.values())[0]==arrayList[0][list(sectDict.keys())[0]])
|
||||
indSect1 = np.where(list(sectDict.values())[0]==arrayList[1][list(sectDict.keys())[0]])
|
||||
indSect0 = np.where(sectDict.values()[0]==arrayList[0][sectDict.keys()[0]])
|
||||
indSect1 = np.where(sectDict.values()[0]==arrayList[1][sectDict.keys()[0]])
|
||||
# Extract and sort the mats
|
||||
arr0 = sortInArr(arrayList[0][indSect0])
|
||||
arr1 = sortInArr(arrayList[1][indSect1])
|
||||
|
||||
# Define the plot axes
|
||||
if 'x' in list(sectDict.keys())[0]:
|
||||
if 'x' in sectDict.keys()[0]:
|
||||
x0 = arr0['y']
|
||||
x1 = arr1['y']
|
||||
else:
|
||||
@@ -328,35 +322,35 @@ def plotPsudoSectNSDiff(ax,sectDict,arrayList,flag,par='abs',colorbar=True,color
|
||||
x1 = arr1['x']
|
||||
y0 = arr0['freq']
|
||||
y1 = arr1['freq']
|
||||
|
||||
|
||||
|
||||
if par == 'abs':
|
||||
if useLog:
|
||||
zPlot = old_div((np.log10(np.abs(arr0[flag])) - np.log10(np.abs(arr1[flag]))),np.log10(np.abs(arr1[flag])))
|
||||
zPlot = (np.log10(np.abs(arr0[flag])) - np.log10(np.abs(arr1[flag])))/np.log10(np.abs(arr1[flag]))
|
||||
else:
|
||||
zPlot = old_div((np.abs(arr0[flag]) - np.abs(arr1[flag])),np.abs(arr1[flag]))
|
||||
zPlot = (np.abs(arr0[flag]) - np.abs(arr1[flag]))/np.abs(arr1[flag])
|
||||
if mask:
|
||||
maskInd = np.logical_or(np.abs(arr0[flag])< 1e-3,np.abs(arr1[flag]) < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
cmap = plt.get_cmap('RdYlBu')#seismic)
|
||||
elif par == 'ares':
|
||||
arF = old_div(1,(8*np.pi**2*10**(-7)))
|
||||
arF = 1/(8*np.pi**2*10**(-7))
|
||||
if useLog:
|
||||
zPlot = old_div((np.log10((old_div(arF,arr0['freq']))*np.abs(arr0[flag])**2) - np.log10((old_div(arF,arr1['freq']))*np.abs(arr1[flag])**2)),np.log10((old_div(arF,arr1['freq']))*np.abs(arr1[flag])**2))
|
||||
zPlot = (np.log10((arF/arr0['freq'])*np.abs(arr0[flag])**2) - np.log10((arF/arr1['freq'])*np.abs(arr1[flag])**2))/np.log10((arF/arr1['freq'])*np.abs(arr1[flag])**2)
|
||||
else:
|
||||
zPlot = old_div(((old_div(arF,arr0['freq']))*np.abs(arr0[flag])**2 - (old_div(arF,arr1['freq']))*np.abs(arr1[flag])**2),((old_div(arF,arr1['freq']))*np.abs(arr1[flag])**2))
|
||||
zPlot = ((arF/arr0['freq'])*np.abs(arr0[flag])**2 - (arF/arr1['freq'])*np.abs(arr1[flag])**2)/((arF/arr1['freq'])*np.abs(arr1[flag])**2)
|
||||
if mask:
|
||||
maskInd = np.logical_or(np.abs(arr0[flag])< 1e-3,np.abs(arr1[flag]) < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
cmap = plt.get_cmap('Spectral')#seismic)
|
||||
|
||||
|
||||
elif par == 'aphs':
|
||||
if useLog:
|
||||
zPlot = old_div((np.log10(np.arctan2(arr0[flag].imag,arr0[flag].real)*(old_div(180,np.pi))) - np.log10(np.arctan2(arr1[flag].imag,arr1[flag].real)*(old_div(180,np.pi))) ),np.log10(np.arctan2(arr1[flag].imag,arr1[flag].real)*(old_div(180,np.pi))))
|
||||
zPlot = (np.log10(np.arctan2(arr0[flag].imag,arr0[flag].real)*(180/np.pi)) - np.log10(np.arctan2(arr1[flag].imag,arr1[flag].real)*(180/np.pi)) )/np.log10(np.arctan2(arr1[flag].imag,arr1[flag].real)*(180/np.pi))
|
||||
else:
|
||||
zPlot = old_div(( np.arctan2(arr0[flag].imag,arr0[flag].real)*(old_div(180,np.pi)) - np.arctan2(arr1[flag].imag,arr1[flag].real)*(old_div(180,np.pi)) ),(np.arctan2(arr1[flag].imag,arr1[flag].real)*(old_div(180,np.pi))))
|
||||
zPlot = ( np.arctan2(arr0[flag].imag,arr0[flag].real)*(180/np.pi) - np.arctan2(arr1[flag].imag,arr1[flag].real)*(180/np.pi) )/(np.arctan2(arr1[flag].imag,arr1[flag].real)*(180/np.pi))
|
||||
if mask:
|
||||
maskInd = np.logical_or(np.abs(arr0[flag])< 1e-3,np.abs(arr1[flag]) < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
@@ -364,26 +358,26 @@ def plotPsudoSectNSDiff(ax,sectDict,arrayList,flag,par='abs',colorbar=True,color
|
||||
cmap = plt.get_cmap('Spectral')#seismic)
|
||||
elif par == 'real':
|
||||
if useLog:
|
||||
zPlot = old_div((np.log10(arr0[flag].real) - np.log10(arr1[flag].real)),np.log10(arr1[flag].real))
|
||||
zPlot = (np.log10(arr0[flag].real) - np.log10(arr1[flag].real))/np.log10(arr1[flag].real)
|
||||
else:
|
||||
zPlot = old_div((arr0[flag].real - arr1[flag].real),arr1[flag].real)
|
||||
zPlot = (arr0[flag].real - arr1[flag].real)/arr1[flag].real
|
||||
if mask:
|
||||
maskInd = np.logical_or(arr0[flag].real< 1e-3,arr1[flag].real < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
cmap = plt.get_cmap('Spectral') #('Spectral')
|
||||
|
||||
|
||||
elif par == 'imag':
|
||||
if useLog:
|
||||
zPlot = old_div((np.log10(arr0[flag].imag) - np.log10(arr1[flag].imag)),np.log10(arr1[flag].imag))
|
||||
zPlot = (np.log10(arr0[flag].imag) - np.log10(arr1[flag].imag))/np.log10(arr1[flag].imag)
|
||||
else:
|
||||
zPlot = old_div((arr0[flag].imag - arr1[flag].imag),arr1[flag].imag)
|
||||
zPlot = (arr0[flag].imag - arr1[flag].imag)/arr1[flag].imag
|
||||
if mask:
|
||||
maskInd = np.logical_or(arr0[flag].imag< 1e-3,arr1[flag].imag < 1e-3)
|
||||
zPlot = np.ma.array(zPlot)
|
||||
zPlot[maskInd] = mask
|
||||
cmap = plt.get_cmap('Spectral') #('RdYlBu')
|
||||
|
||||
|
||||
if cLevel:
|
||||
zMax = np.log10(cLevel[1])
|
||||
zMin = np.log10(cLevel[0])
|
||||
@@ -391,18 +385,18 @@ def plotPsudoSectNSDiff(ax,sectDict,arrayList,flag,par='abs',colorbar=True,color
|
||||
zMax = (np.ceil(np.log10(np.abs(zPlot).max())))
|
||||
zMin = (np.floor(np.log10(np.abs(zPlot).min())))
|
||||
|
||||
|
||||
|
||||
if colorNorm=='SymLog':
|
||||
level = np.concatenate((-np.logspace(zMax,zMin-.125,(zMax-zMin)*8+1,endpoint=True),np.logspace(zMin-.125,zMax,(zMax-zMin)*8+1,endpoint=True)))
|
||||
clevel = np.concatenate((-np.logspace(zMax,zMin,(zMax-zMin)*1+1,endpoint=True),np.logspace(zMin,zMax,(zMax-zMin)*1+1,endpoint=True)))
|
||||
plotNorm = colors.SymLogNorm(np.abs(level).min(),linscale=0.1)
|
||||
elif colorNorm=='Lin':
|
||||
if cLevel:
|
||||
level = np.arange(cLevel[0],cLevel[1]+.1,old_div((cLevel[1] - cLevel[0]),50.))
|
||||
clevel = np.arange(cLevel[0],cLevel[1]+.1,old_div((cLevel[1] - cLevel[0]),10.))
|
||||
level = np.arange(cLevel[0],cLevel[1]+.1,(cLevel[1] - cLevel[0])/50.)
|
||||
clevel = np.arange(cLevel[0],cLevel[1]+.1,(cLevel[1] - cLevel[0])/10.)
|
||||
else:
|
||||
level = np.arange(zPlot.min(),zPlot.max(),old_div((zPlot.max() - zPlot.min()),50.))
|
||||
clevel = np.arange(zPlot.min(),zPlot.max(),old_div((zPlot.max() - zPlot.min()),10.))
|
||||
level = np.arange(zPlot.min(),zPlot.max(),(zPlot.max() - zPlot.min())/50.)
|
||||
clevel = np.arange(zPlot.min(),zPlot.max(),(zPlot.max() - zPlot.min())/10.)
|
||||
plotNorm = colors.Normalize()
|
||||
elif colorNorm=='Log':
|
||||
level = np.logspace(zMin-.125,zMax,(zMax-zMin)*8+1,endpoint=True)
|
||||
|
||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user