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Author SHA1 Message Date
D Fournier 33ea89702e Minor changes...test runs fine from here 2016-05-12 08:07:00 -07:00
D Fournier b4ab60c260 Add model mapping to sparse regularization 2016-05-05 11:55:56 -07:00
D Fournier 4e296c4cd5 Update PreCond Directive to allow inactive cells mapping 2016-05-04 16:01:29 -07:00
D Fournier 3d1dfc13d7 Change Update_PreConditioner to default False 2016-04-29 15:49:44 -07:00
D Fournier a6e995e9fb Merge branch 'feat/meshutils' into feat/sparse-regularization 2016-04-29 15:42:42 -07:00
D Fournier 056dc09fa6 Fix Update_Precondition directive 2016-04-29 15:10:30 -07:00
Rowan Cockett 00db6746d4 Add a warnign about mesh attributes 2016-04-29 11:50:56 -07:00
Rowan Cockett 028a16a45a Syntax bug. 2016-04-29 11:44:42 -07:00
Rowan Cockett c83b460672 Surface to Indices (GoCAD and VTK) 2016-04-29 11:43:31 -07:00
D Fournier 225394f74e Latest commit 2016-04-29 11:10:04 -07:00
D Fournier d8bfb27415 Quick fix to MeshIO 2016-04-23 15:25:44 -07:00
D Fournier 79183ae9fb fIX MESH io 2016-04-22 16:05:43 -07:00
D Fournier 606488d152 Major fix to IRLS. 2016-04-21 21:58:40 -07:00
GudniRos 23d2783bc1 Finalizing the pull request from mt/iss290 in to dev. 2016-04-15 12:31:00 -07:00
GudniRos b58ba55ffd Merge branch 'mt/iss290' into dev 2016-04-15 12:21:57 -07:00
GudniRos 0d6fe5f7a1 Merge branch 'dev' into mt/iss290 2016-04-15 12:03:09 -07:00
GudniRos 90b0301408 Fixing bug in write out. 2016-04-08 09:40:26 -07:00
GudniRos 083742cb40 Removing repeated directives 2016-04-08 09:34:30 -07:00
GudniRos 8a18e479ab Removed the testProjDeriv (not needed, included in Jvec). 2016-04-07 11:48:17 -07:00
GudniRos f15a628136 Moved the osr import into the projection function. 2016-04-07 09:01:30 -07:00
GudniRos fb60f45a3c Fixed osr import in ediFilesUtils, moved into class which imports only on build up.
Fixed the boolean error in Directives.
2016-04-07 08:46:51 -07:00
50 changed files with 326 additions and 4647 deletions
+96 -54
View File
@@ -169,7 +169,7 @@ def readUBC_DC2DModel(fileName):
return model
def plot_pseudoSection(DCsurvey, axs, stype='dpdp', dtype="appc", clim=None):
def plot_pseudoSection(DCsurvey, axs, stype='dpdp', dtype="appc", clim=None, cblabel=True, axlabel = True, colorbar = True, contour = None):
"""
Read list of 2D tx-rx location and plot a speudo-section of apparent
resistivity.
@@ -192,9 +192,6 @@ def plot_pseudoSection(DCsurvey, axs, stype='dpdp', dtype="appc", clim=None):
from scipy.interpolate import griddata
import pylab as plt
# Set depth to 0 for now
z0 = 0.
# Pre-allocate
midx = []
midz = []
@@ -259,38 +256,53 @@ def plot_pseudoSection(DCsurvey, axs, stype='dpdp', dtype="appc", clim=None):
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)
ph = plt.pcolormesh(grid_x[:,0],grid_z[0,:],grid_rho.T, clim=(vmin, vmax))
cbar = plt.colorbar(format="$10^{%.1f}$",fraction=0.04,orientation="horizontal")
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 dtype == 'volt':
cbar = plt.colorbar(ph, ax = axs, format="%4.1f",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)
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 cblabel:
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)
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([])
if not axlabel:
axs.set_xticklabels([])
axs.set_yticklabels([])
plt.gca().set_aspect('equal', adjustable='box')
@@ -448,15 +460,15 @@ def gen_DCIPsurvey(endl, mesh, stype, a, b, n):
survey = DC.SurveyDC(SrcList)
return survey, Tx, Rx
def writeUBC_DCobs(fileName, DCsurvey, dtype, stype):
def writeUBC_DCobs(fileName, DCsurvey, dtype='3D', stype='SURFACE', iptype = 0):
"""
Write UBC GIF DCIP 2D or 3D observation 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'
: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
@@ -471,10 +483,16 @@ def writeUBC_DCobs(fileName, DCsurvey, dtype, stype):
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('! ' + stype + ' FORMAT\n')
if iptype!=0:
fid.write('IPTYPE=%i\n'%iptype)
else:
fid.write('! ' + stype + ' FORMAT\n')
count = 0
for ii in range(DCsurvey.nSrc):
@@ -498,7 +516,7 @@ def writeUBC_DCobs(fileName, DCsurvey, dtype, stype):
B = np.repeat(tx[0,1],M.shape[0],axis=0)
M = M[:,0]
N = N[:,0]
np.savetxt(fid, np.c_[A, B, M, N , DCsurvey.dobs[count:count+nD], DCsurvey.std[count:count+nD] ], fmt='%e',delimiter=' ',newline='\n')
@@ -506,18 +524,25 @@ def writeUBC_DCobs(fileName, DCsurvey, dtype, stype):
if stype == 'SURFACE':
fid.writelines("%e " % ii for ii in mkvc(tx[0,:]))
fid.writelines("%f " % ii for ii in mkvc(tx[0,:]))
M = M[:,0]
N = N[:,0]
if stype == 'GENERAL':
# Flip sign for z-elevation to depth
tx[2::2,:] = -tx[2::2,:]
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='%e',delimiter=' ',newline='\n')
np.savetxt(fid, np.c_[ M, N , DCsurvey.dobs[count:count+nD], DCsurvey.std[count:count+nD] ], fmt='%f',delimiter=' ',newline='\n')
if dtype=='3D':
@@ -529,11 +554,12 @@ def writeUBC_DCobs(fileName, DCsurvey, dtype, stype):
if stype == 'GENERAL':
fid.writelines("%e " % ii for ii in mkvc(tx))
fid.writelines("%e " % ii for ii in mkvc(tx[0:3,:]))
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()
@@ -640,51 +666,59 @@ def convertObs_DC3D_to_2D(DCsurvey,lineID, flag = 'local'):
DCsurvey2D.std = np.asarray(DCsurvey.std)
return DCsurvey2D
def readUBC_DC3Dobs(fileName):
def readUBC_DC3Dobs(fileName, dtype = 'DC'):
"""
Read UBC GIF DCIP 3D observation file and generate survey
Read UBC GIF IP 3D observation file and generate survey
Input:
:param fileName, path to the UBC GIF 3D obs file
Output:
:param DCIPsurvey
:param IPsurvey
:return
Created on Mon April 6th, 2015
@author: dominiquef
"""
zflag = True # Flag for z value provided
# Load file
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!')
if dtype == 'IP':
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='IPTYPE')
elif dtype == 'DC':
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!')
else:
print "dtype must be 'DC'(default) | 'IP'"
# 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 is transmitter with number of receivers
# First line or end of a transmitter block, read transmitter info
if count==0:
temp = (np.fromstring(obsfile[ii], dtype=float,sep=' ').T)
# Read the line
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[0:2],np.nan]
zflag = False
tx = np.r_[temp[0:2],np.nan,temp[2:4],np.nan]
zflag = False # Pass on the flag to the receiver loc
else:
tx = temp[:-1]
@@ -692,8 +726,16 @@ def readUBC_DC3Dobs(fileName):
rx = []
continue
temp = np.fromstring(obsfile[ii], dtype=float,sep=' ')
temp = np.fromstring(obsfile[ii], dtype=float,sep=' ') # Get the string
# 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])
@@ -703,7 +745,7 @@ def readUBC_DC3Dobs(fileName):
wd.append(temp[-1])
else:
rx.append(np.r_[temp[0:2],np.nan,temp[0:2],np.nan] )
rx.append(np.r_[temp[0:2],np.nan,temp[2:4],np.nan] )
# Check if there is data with the location
if len(temp)==6:
d.append(temp[-2])
@@ -711,7 +753,7 @@ def readUBC_DC3Dobs(fileName):
count = count -1
# Reach the end of transmitter block
# Reach the end of transmitter block, append the src, rx and continue
if count == 0:
rx = np.asarray(rx)
Rx = DC.RxDipole(rx[:,:3],rx[:,3:])
+50 -50
View File
@@ -222,7 +222,7 @@ class SaveOutputDictEveryIteration(_SaveEveryIteration):
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:
@@ -237,41 +237,6 @@ 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.mrefInSmooth == True:
# mref = self.reg.mref
# else:
# mref = 0
# mx = self.reg.Wx * ( self.reg.mapping * (self.invProb.curModel - mref) )
# phi_mx = 0.5 * mx.dot(mx)
# if self.prob.mesh.dim==2:
# my = self.reg.Wy * ( self.reg.mapping * (self.invProb.curModel - mref) )
# phi_my = 0.5 * my.dot(my)
# else:
# phi_my = 'NaN'
# if self.prob.mesh.dim==3 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):
@@ -293,6 +258,7 @@ class Update_IRLS(InversionDirective):
phi_m_last = None
phi_d_last = None
def initialize(self):
# Scale the regularization for changes in norm
@@ -305,12 +271,13 @@ class Update_IRLS(InversionDirective):
self.reg.curModel = self.invProb.curModel
self.reg.gamma = self.gamma
self.reg._W = None
if getattr(self, 'phi_d_last', None) is None:
self.phi_d_last = self.invProb.phi_d
def endIter(self):
# Cool the threshold parameter
# Cool the threshold parameter if required
if getattr(self, 'factor', None) is not None:
eps = self.reg.eps / self.factor
@@ -321,32 +288,49 @@ class Update_IRLS(InversionDirective):
# Get phi_m at the end of current iteration
self.phi_m_last = self.invProb.phi_m_last
self.reg._W = None
# Update the model used for the IRLS weights
self.reg.curModel = self.invProb.curModel
# Temporarely set gamma to 1.
# Temporarely set gamma to 1. to get raw phi_m
self.reg.gamma = 1.
# Compute change in model objective function and update scaling
# 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
self.invProb.beta = self.invProb.beta * self.survey.nD*0.5 / self.invProb.phi_d
# Set the weighting matrix to None so that it is recomputed next time
# it is called in the inversion
self.reg._W = None
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(diagA**-1.)
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
print 'Updated pre-cond'
class Update_Wj(InversionDirective):
"""
@@ -373,3 +357,19 @@ class Update_Wj(InversionDirective):
JtJdiag = JtJdiag / max(JtJdiag)
self.reg.wght = JtJdiag
class Scale_Beta(InversionDirective):
"""
Instead of a linear cooling schedule, beta is allowed to change based
on the ratio between the target misfit and the current data misfit. The
update is done only if the misfit is outside some threshold bounds.
"""
tol = 0.05
def endIter(self):
# Check if misfit is within the tolerance, otherwise adjust beta
val = self.invProb.phi_d / (self.survey.nD*0.5)
if np.abs(1.-val) > self.tol:
self.invProb.beta = self.invProb.beta * self.survey.nD*0.5 / self.invProb.phi_d
-119
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@@ -1,119 +0,0 @@
import numpy as np
from scipy.constants import mu_0, pi
from scipy import special
def DCAnalyticHalf(txloc, rxlocs, sigma, flag="wholespace"):
"""
Analytic solution for electric potential from a postive pole
Input variables:
txloc = a xyz location of A (+) electrode (np.r_[xa, ya, za])
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])
sigma = conductivity (either float or complex)
flag = "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 flag == "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, \
flag = "sec", order=12, halfspace=False):
# def DCSpherePointCurrent(txloc, rxloc, xc, radius, rho, rho1, \
# flag = "sec", order=12):
"""
Parameters:
txloc (array) : current electrode location (x,y,z)
xc (float) : x center of depressed sphere
rxloc (array) : electrode locations
(Nx3 array, # of electrodes)
radius (float): radius of the sphere (m)
rho (float) : resistivity of the background (ohm-m)
rho1 (float) : resistivity of the sphere
flag (string) : "sec", "total", "prim"
(default="sec")
"sec": secondary potential only due to sphere
"prim": primary potential from the point source
"total": "sec"+"prim"
order (float) : 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 flag =="prim":
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 flag == "sec":
return scale*(out-prim)
elif flag == "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
View File
@@ -1,4 +1,3 @@
from TDEM import hzAnalyticDipoleT
from FDEM import hzAnalyticDipoleF
from FDEMcasing import *
from DC import DCAnalyticHalf, DCAnalyticSphere
+6 -16
View File
@@ -1,7 +1,6 @@
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)
@@ -71,12 +70,6 @@ class BaseEMProblem(Problem.BaseProblem):
self._Mf = self.mesh.getFaceInnerProduct()
return self._Mf
@property
def Vol(self):
if getattr(self, '_Vol', None) is None:
self._Vol = Utils.sdiag(self.mesh.vol)
return self._Vol
# ----- Magnetic Permeability ----- #
@property
@@ -134,6 +127,7 @@ class BaseEMProblem(Problem.BaseProblem):
"""
return self.mesh.getEdgeInnerProductDeriv(self.curModel.sigma)(u) * self.curModel.sigmaDeriv
@property
def MeSigmaI(self):
"""
@@ -156,6 +150,7 @@ class BaseEMProblem(Problem.BaseProblem):
return dMeSigmaI_dI * ( dMe_dsig * ( dsig_dm))
# return self.mesh.getEdgeInnerProductDeriv(self.curModel.sigma, invMat=True)(u)
@property
def MfRho(self):
"""
@@ -188,12 +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 * (-Utils.sdiag(self.curModel.rho**2) * self.curModel.sigmaDeriv) )
# return self.mesh.getFaceInnerProductDeriv(self.curModel.rho, invMat=True)(u) * self.curModel.rhoDeriv
return self.mesh.getFaceInnerProductDeriv(self.curModel.rho, invMat=True)(u) * self.curModel.rhoDeriv
class BaseEMSurvey(Survey.BaseSurvey):
@@ -202,7 +192,7 @@ 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
@@ -212,8 +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
View File
@@ -167,7 +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
+1 -1
View File
@@ -181,7 +181,7 @@ class Fields_e(Fields):
}
def __init__(self, mesh, survey, **kwargs):
Fields.__init__(self, mesh, survey, **kwargs)
Fields.__init__(self,mesh,survey,**kwargs)
def startup(self):
self.prob = self.survey.prob
+1
View File
@@ -14,6 +14,7 @@ class BaseSrc(Survey.BaseSrc):
def eval(self, prob):
"""
Evaluate the source terms.
- :math:`s_m` : magnetic source term
- :math:`s_e` : electric source term
+2 -2
View File
@@ -63,9 +63,9 @@ class Rx(SimPEG.Survey.BaseRx):
"""Component projection (real/imag)"""
return self.knownRxTypes[self.rxType][2]
def projGLoc(self, f):
def projGLoc(self, u):
"""Grid Location projection (e.g. Ex Fy ...)"""
return f._GLoc(self.rxType[0]) + self.knownRxTypes[self.rxType][1]
return u._GLoc(self.rxType[0]) + self.knownRxTypes[self.rxType][1]
def eval(self, src, mesh, f):
"""
-160
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@@ -1,160 +0,0 @@
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
-148
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@@ -1,148 +0,0 @@
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' %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' %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' %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))
-146
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@@ -1,146 +0,0 @@
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' %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' %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' %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
-307
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@@ -1,307 +0,0 @@
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 D^\\top V
"""
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(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 = D MfRhoI D^\\top V
"""
# 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()
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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 D^\\top V
"""
D = self.Div
G = self.Grad
vol = self.mesh.vol
# TODO: this won't work for full anisotropy
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 D^\\top V
"""
# TODO: this won't work for full anisotropy
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()
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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
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@@ -1,86 +0,0 @@
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
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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
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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
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from ProblemDC import Problem3D_CC, Problem3D_N
from ProblemDC_2D import Problem2D_CC, Problem2D_N
from SurveyDC import Survey, Survey_ky
import SrcDC as Src #Pole
import RxDC as Rx
from FieldsDC import Fields_CC
from BoundaryUtils import getxBCyBC_CC
import Utils
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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 D^\\top V
"""
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(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 = D MfRhoI D^\\top V
"""
# 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 = BaseIPProblem(mesh, sigma=sigma)
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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)
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from ProblemIP import Problem3D_CC, Problem3D_N
from SurveyIP import Survey
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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((int(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 D^\\top V
"""
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 = D MfRhoI D^\\top V
"""
# 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)
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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) ) )
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@@ -1,88 +0,0 @@
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
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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
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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
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@@ -1,5 +0,0 @@
from ProblemSIP import Problem3D_CC, Problem3D_N
from SurveySIP import Survey, Data
import SrcSIP as Src #Pole
import RxSIP as Rx
from Regularization import MultiRegularization
-317
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@@ -1,317 +0,0 @@
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(range(int(nstn)))*dl_x*a
stn_y = endl[0,1] + np.array(range(int(nstn)))*dl_y*a
if mesh.dim==2:
ztop = mesh.vectorNy[-1]
# 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([np.floor( (AB - b) / a ) , n])
# Check if there is enough space, else break the loop
if nstn <= 0:
continue
# Compute discrete pole location along line
stn_x = N[ii,0] + dl_x*b + np.array(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
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(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(np.floor( box_w / a ))
lind = 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
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@@ -1 +0,0 @@
from StaticUtils import *
-3
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@@ -1,3 +0,0 @@
import DC
import IP
import SIP
+6 -6
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@@ -87,7 +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')
@@ -96,8 +96,8 @@ 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"
return {"b": np.zeros(mesh.nF)}
@@ -113,7 +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
@@ -122,7 +122,7 @@ 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"""
@@ -153,7 +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
-1
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@@ -1,6 +1,5 @@
import TDEM
import FDEM
import Static
import Base
import Analytics
import Utils
+3 -3
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@@ -86,12 +86,12 @@ def run(N=200, plotIt=True):
#reg.recModel = mrec
reg.wght = np.ones(mesh.nC)
reg.mref = np.zeros(mesh.nC)
reg.eps_p = 2e-3
reg.eps_q = 2e-3
reg.eps_p = 5e-2
reg.eps_q = 1e-2
reg.norms = [0., 0., 2., 2.]
reg.wght = wr
opt = Optimization.ProjectedGNCG(maxIter=5 ,lower=-2.,upper=2., maxIterCG= 100, tolCG = 1e-3)
opt = Optimization.ProjectedGNCG(maxIter=10 ,lower=-2.,upper=2., maxIterLS = 20, maxIterCG= 20, tolCG = 1e-3)
invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta = invProb.beta*2.)
beta = Directives.BetaSchedule(coolingFactor=1, coolingRate=1)
#betaest = Directives.BetaEstimate_ByEig()
+12 -7
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@@ -7,17 +7,16 @@ 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:
"""
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 = 1./_impUnitEDI2SI # ConvertZ[V/A] SI unit to Z[mV/km/nT] (as in EDI)
@@ -26,8 +25,8 @@ class EDIimporter:
comps = None
# Hidden properties
_outEPSG = None
_2out = None
_outEPSG = None # Project info
_2out = None # The projection operator
def __init__(self, EDIfilesList, compList=None, outEPSG=None):
@@ -113,6 +112,12 @@ class EDIimporter:
# 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()
-60
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@@ -584,67 +584,7 @@ class DiffOperators(object):
return Pbc, Pin, Pout
def getBCProjWF_simple(self, discretization='CC'):
"""
The weak form boundary condition projection matrices
when mixed boundary condition is used
"""
if discretization is not 'CC':
raise NotImplementedError('Boundary conditions only implemented for CC discretization.')
def projBC(n):
ij = ([0,n], [0,1])
vals = [0,0]
vals[0] = 1
vals[1] = 1
return sp.csr_matrix((vals, ij), shape=(n+1,2))
def projDirichlet(n, bc):
bc = checkBC(bc)
ij = ([0,n], [0,1])
vals = [0,0]
if(bc[0] == 'dirichlet'):
vals[0] = -1
if(bc[1] == 'dirichlet'):
vals[1] = 1
return sp.csr_matrix((vals, ij), shape=(n+1,2))
BC = [['dirichlet','dirichlet'],['dirichlet','dirichlet'],['dirichlet','dirichlet']]
n = self.vnC
indF = self.faceBoundaryInd
if(self.dim == 1):
Pbc = projDirichlet(n[0], BC[0])
B = projBC(n[0])
indF = indF[0] | indF[1]
Pbc = Pbc*sdiag(self.area[indF])
elif(self.dim == 2):
Pbc1 = sp.kron(speye(n[1]), projDirichlet(n[0], BC[0]))
Pbc2 = sp.kron(projDirichlet(n[1], BC[1]), speye(n[0]))
Pbc = sp.block_diag((Pbc1, Pbc2), format="csr")
B1 = sp.kron(speye(n[1]), projBC(n[0]))
B2 = sp.kron(projBC(n[1]), speye(n[0]))
B = sp.block_diag((B1, B2), format="csr")
indF = np.r_[(indF[0] | indF[1]), (indF[2] | indF[3])]
Pbc = Pbc*sdiag(self.area[indF])
elif(self.dim == 3):
Pbc1 = kron3(speye(n[2]), speye(n[1]), projDirichlet(n[0], BC[0]))
Pbc2 = kron3(speye(n[2]), projDirichlet(n[1], BC[1]), speye(n[0]))
Pbc3 = kron3(projDirichlet(n[2], BC[2]), speye(n[1]), speye(n[0]))
Pbc = sp.block_diag((Pbc1, Pbc2, Pbc3), format="csr")
B1 = kron3(speye(n[2]), speye(n[1]), projBC(n[0]))
B2 = kron3(speye(n[2]), projBC(n[1]), speye(n[0]))
B3 = kron3(projBC(n[2]), speye(n[1]), speye(n[0]))
B = sp.block_diag((B1, B2, B3), format="csr")
indF = np.r_[(indF[0] | indF[1]), (indF[2] | indF[3]), (indF[4] | indF[5])]
Pbc = Pbc*sdiag(self.area[indF])
return Pbc, B.T
# --------------- Averaging ---------------------
@property
-1
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@@ -24,7 +24,6 @@ class TensorMeshIO(object):
re = int(sp[0])*(' ' + sp[1])
line = line.replace(st,re.strip())
return np.array(line.split(),dtype=float)
# Read the file as line strings, remove lines with comment = !
msh = np.genfromtxt(fileName,delimiter='\n',dtype=np.str,comments='!')
+1 -1
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@@ -218,7 +218,7 @@ class TensorView(object):
return out
viewOpts = ['real','imag','abs','vec']
normalOpts = ['X', 'Y', 'Z']
vTypeOpts = ['CC', 'CCv','N','F','E','Fx','Fy','Fz','E','Ex','Ey','Ez']
vTypeOpts = ['CC', 'CCv','F','E','Fx','Fy','Fz','E','Ex','Ey','Ez']
# Some user error checking
assert vType in vTypeOpts, "vType must be in ['%s']" % "','".join(vTypeOpts)
+11 -11
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@@ -663,9 +663,8 @@ class Sparse(Simple):
self.Rs = Utils.speye(self.regmesh.nC)
else:
f_m = self.curModel - self.reg.mref
f_m = self.mapping * (self.curModel - self.reg.mref)
self.rs = self.R(f_m , self.eps_p, self.norms[0])
#print "Min rs: " + str(np.max(self.rs)) + "Max rs: " + str(np.min(self.rs))
self.Rs = Utils.sdiag( self.rs )
return Utils.sdiag((self.regmesh.vol*self.alpha_s*self.gamma*self.wght)**0.5)*self.Rs
@@ -679,7 +678,7 @@ class Sparse(Simple):
self.Rx = Utils.speye(self.regmesh.cellDiffxStencil.shape[0])
else:
f_m = self.regmesh.cellDiffxStencil * self.curModel
f_m = self.regmesh.cellDiffxStencil * (self.mapping * self.curModel)
self.rx = self.R( f_m , self.eps_q, self.norms[1])
self.Rx = Utils.sdiag( self.rx )
@@ -693,7 +692,7 @@ class Sparse(Simple):
self.Ry = Utils.speye(self.regmesh.cellDiffyStencil.shape[0])
else:
f_m = self.regmesh.cellDiffyStencil * self.curModel
f_m = self.regmesh.cellDiffyStencil * (self.mapping * self.curModel)
self.ry = self.R( f_m , self.eps_q, self.norms[2])
self.Ry = Utils.sdiag( self.ry )
@@ -707,7 +706,7 @@ class Sparse(Simple):
self.Rz = Utils.speye(self.regmesh.cellDiffzStencil.shape[0])
else:
f_m = self.regmesh.cellDiffzStencil * self.curModel
f_m = self.regmesh.cellDiffzStencil * (self.mapping * self.curModel)
self.rz = self.R( f_m , self.eps_q, self.norms[3])
self.Rz = Utils.sdiag( self.rz )
@@ -728,14 +727,15 @@ class Sparse(Simple):
@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 sp.vstack(wlist)
if getattr(self, '_W', None) is None:
wlist = (self.Wsmall, self.Wsmooth)
self._W = sp.vstack(wlist)
return self._W
def R(self, f_m , eps, exponent):
eta = (eps**(1-exponent/2.))**0.5
r = eta / (f_m**2.+ eps**2.)**((1-exponent/2.)/2.)
eta = (eps**(1.-exponent/2.))**0.5
r = eta / (f_m**2.+ eps**2.)**((1.-exponent/2.)/2.)
return r
+137
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@@ -0,0 +1,137 @@
from SimPEG import np, Mesh
import time as tm
import vtk, vtk.util.numpy_support as npsup
import re
def read_GOCAD_ts(tsfile):
"""
Read GOCAD triangulated surface (*.ts) file
INPUT:
tsfile: Triangulated surface
OUTPUT:
vrts : Array of vertices in XYZ coordinates [n x 3]
trgl : Array of index for triangles [m x 3]. The order of the vertices
is important and describes the normal
n = cross( (P2 - P1 ) , (P3 - P1) )
Author: @fourndo
.. note::
Remove all attributes from the GoCAD surface before exporting it!
"""
fid = open(tsfile,'r')
line = fid.readline()
# Skip all the lines until the vertices
while re.match('TFACE',line)==None:
line = fid.readline()
line = fid.readline()
vrtx = []
# Run down all the vertices and save in array
while re.match('VRTX',line):
l_input = re.split('[\s*]',line)
temp = np.array(l_input[2:5])
vrtx.append(temp.astype(np.float))
# Read next line
line = fid.readline()
vrtx = np.asarray(vrtx)
# Skip lines to the triangles
while re.match('TRGL',line)==None:
line = fid.readline()
# Run down the list of triangles
trgl = []
# Run down all the vertices and save in array
while re.match('TRGL',line):
l_input = re.split('[\s*]',line)
temp = np.array(l_input[1:4])
trgl.append(temp.astype(np.int))
# Read next line
line = fid.readline()
trgl = np.asarray(trgl)
return vrtx, trgl
def surface2inds(vrtx, trgl, mesh, boundaries=True, internal=True):
""""
Function to read gocad polystructure file and output indexes of mesh with in the structure.
"""
# Adjust the index
trgl = trgl - 1
# Make vtk pts
ptsvtk = vtk.vtkPoints()
ptsvtk.SetData(npsup.numpy_to_vtk(vrtx,deep=1))
# Make the polygon connection
polys = vtk.vtkCellArray()
for face in trgl:
poly = vtk.vtkPolygon()
poly.GetPointIds().SetNumberOfIds(len(face))
for nrv, vert in enumerate(face):
poly.GetPointIds().SetId(nrv,vert)
polys.InsertNextCell(poly)
# Make the polydata, structure of connections and vrtx
polyData = vtk.vtkPolyData()
polyData.SetPoints(ptsvtk)
polyData.SetPolys(polys)
# Make implicit func
ImpDistFunc = vtk.vtkImplicitPolyDataDistance()
ImpDistFunc.SetInput(polyData)
# Convert the mesh
vtkMesh = vtk.vtkRectilinearGrid()
vtkMesh.SetDimensions(mesh.nNx,mesh.nNy,mesh.nNz)
vtkMesh.SetXCoordinates(npsup.numpy_to_vtk(mesh.vectorNx, deep=1))
vtkMesh.SetYCoordinates(npsup.numpy_to_vtk(mesh.vectorNy, deep=1))
vtkMesh.SetZCoordinates(npsup.numpy_to_vtk(mesh.vectorNz, deep=1))
# Add indexes
vtkInd = npsup.numpy_to_vtk(np.arange(mesh.nC), deep=1)
vtkInd.SetName('Index')
vtkMesh.GetCellData().AddArray(vtkInd)
extractImpDistRectGridFilt = vtk.vtkExtractGeometry() # Object constructor
extractImpDistRectGridFilt.SetImplicitFunction(ImpDistFunc) #
extractImpDistRectGridFilt.SetInputData(vtkMesh)
if boundaries is True:
extractImpDistRectGridFilt.ExtractBoundaryCellsOn()
else:
extractImpDistRectGridFilt.ExtractBoundaryCellsOff()
if internal is True:
extractImpDistRectGridFilt.ExtractInsideOn()
else:
extractImpDistRectGridFilt.ExtractInsideOff()
print "Extracting indices from grid..."
# Executing the pipe
extractImpDistRectGridFilt.Update()
# Get index inside
insideGrid = extractImpDistRectGridFilt.GetOutput()
insideGrid = npsup.vtk_to_numpy(insideGrid.GetCellData().GetArray('Index'))
# Return the indexes inside
return insideGrid
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import os
import glob
import unittest
if __name__ == '__main__':
test_file_strings = glob.glob('test_*.py')
module_strings = [str[0:len(str)-3] for str in test_file_strings]
suites = [unittest.defaultTestLoader.loadTestsFromName(str) for str
in module_strings]
testSuite = unittest.TestSuite(suites)
unittest.TextTestRunner(verbosity=2).run(testSuite)
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import unittest
from SimPEG import Mesh, Utils, EM, Maps, np
import SimPEG.EM.Static.DC as DC
class DCProblemAnalyticTests(unittest.TestCase):
def setUp(self):
cs = 12.5
hx = [(cs,7, -1.3),(cs,61),(cs,7, 1.3)]
hy = [(cs,7, -1.3),(cs,20)]
mesh = Mesh.TensorMesh([hx, hy],x0="CN")
sighalf = 1e-2
sigma = np.ones(mesh.nC)*sighalf
x = np.linspace(-135, 250., 20)
M = Utils.ndgrid(x-12.5, np.r_[0.])
N = Utils.ndgrid(x+12.5, np.r_[0.])
A0loc = np.r_[-150, 0.]
A1loc = np.r_[-130, 0.]
rxloc = [np.c_[M, np.zeros(20)], np.c_[N, np.zeros(20)]]
data_anal = EM.Analytics.DCAnalyticHalf(np.r_[A0loc, 0.], rxloc, sighalf, flag="halfspace")
rx = DC.Rx.Dipole(M, N)
src0 = DC.Src.Pole([rx], A0loc)
survey = DC.Survey_ky([src0])
self.survey = survey
self.mesh = mesh
self.sigma = sigma
self.data_anal = data_anal
try:
from pymatsolver import MumpsSolver
self.Solver = MumpsSolver
except ImportError, e:
self.Solver = SolverLU
def test_Problem3D_N(self):
problem = DC.Problem2D_N(self.mesh)
problem.Solver = self.Solver
problem.pair(self.survey)
data = self.survey.dpred(self.sigma)
err= np.linalg.norm((data-self.data_anal)/self.data_anal)**2 / self.data_anal.size
if err < 0.05:
passed = True
print ">> DC analytic test for Problem3D_N is passed"
else:
passed = False
print ">> DC analytic test for Problem3D_N is failed"
self.assertTrue(passed)
def test_Problem3D_CC(self):
problem = DC.Problem2D_CC(self.mesh)
problem.Solver = self.Solver
problem.pair(self.survey)
data = self.survey.dpred(self.sigma)
err= np.linalg.norm((data-self.data_anal)/self.data_anal)**2 / self.data_anal.size
if err < 0.05:
passed = True
print ">> DC analytic test for Problem3D_CC is passed"
else:
passed = False
print ">> DC analytic test for Problem3D_CC is failed"
self.assertTrue(passed)
if __name__ == '__main__':
unittest.main()
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import unittest
from SimPEG import *
import SimPEG.EM.Static.DC as DC
class DCProblem_2DTestsCC(unittest.TestCase):
def setUp(self):
cs = 12.5
hx = [(cs,7, -1.3),(cs,61),(cs,7, 1.3)]
hy = [(cs,7, -1.3),(cs,20)]
mesh = Mesh.TensorMesh([hx, hy],x0="CN")
x = np.linspace(-135, 250., 20)
M = Utils.ndgrid(x-12.5, np.r_[0.])
N = Utils.ndgrid(x+12.5, np.r_[0.])
A0loc = np.r_[-150, 0.]
A1loc = np.r_[-130, 0.]
rxloc = [np.c_[M, np.zeros(20)], np.c_[N, np.zeros(20)]]
rx = DC.Rx.Dipole_ky(M, N)
src0 = DC.Src.Pole([rx], A0loc)
src1 = DC.Src.Pole([rx], A1loc)
survey = DC.Survey_ky([src0, src1])
problem = DC.Problem2D_CC(mesh, mapping=[('rho', Maps.IdentityMap(mesh))])
problem.pair(survey)
mSynth = np.ones(mesh.nC)*1.
survey.makeSyntheticData(mSynth)
# Now set up the problem to do some minimization
dmis = DataMisfit.l2_DataMisfit(survey)
reg = Regularization.Tikhonov(mesh)
opt = Optimization.InexactGaussNewton(maxIterLS=20, maxIter=10, tolF=1e-6, tolX=1e-6, tolG=1e-6, maxIterCG=6)
invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta=1e0)
inv = Inversion.BaseInversion(invProb)
self.inv = inv
self.reg = reg
self.p = problem
self.mesh = mesh
self.m0 = mSynth
self.survey = survey
self.dmis = dmis
def test_misfit(self):
derChk = lambda m: [self.survey.dpred(m), lambda mx: self.p.Jvec(self.m0, mx)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
def test_adjoint(self):
# Adjoint Test
u = np.random.rand(self.mesh.nC*self.survey.nSrc)
v = np.random.rand(self.mesh.nC)
w = np.random.rand(self.survey.dobs.shape[0])
wtJv = w.dot(self.p.Jvec(self.m0, v))
vtJtw = v.dot(self.p.Jtvec(self.m0, w))
passed = np.abs(wtJv - vtJtw) < 1e-10
print 'Adjoint Test', np.abs(wtJv - vtJtw), passed
self.assertTrue(passed)
def test_dataObj(self):
derChk = lambda m: [self.dmis.eval(m), self.dmis.evalDeriv(m)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
class DCProblemTestsN(unittest.TestCase):
def setUp(self):
cs = 12.5
hx = [(cs,7, -1.3),(cs,61),(cs,7, 1.3)]
hy = [(cs,7, -1.3),(cs,20)]
mesh = Mesh.TensorMesh([hx, hy],x0="CN")
x = np.linspace(-135, 250., 20)
M = Utils.ndgrid(x-12.5, np.r_[0.])
N = Utils.ndgrid(x+12.5, np.r_[0.])
A0loc = np.r_[-150, 0.]
A1loc = np.r_[-130, 0.]
rxloc = [np.c_[M, np.zeros(20)], np.c_[N, np.zeros(20)]]
rx = DC.Rx.Dipole_ky(M, N)
src0 = DC.Src.Pole([rx], A0loc)
src1 = DC.Src.Pole([rx], A1loc)
survey = DC.Survey_ky([src0, src1])
problem = DC.Problem2D_N(mesh, mapping=[('rho', Maps.IdentityMap(mesh))])
problem.pair(survey)
mSynth = np.ones(mesh.nC)*1.
survey.makeSyntheticData(mSynth)
# Now set up the problem to do some minimization
dmis = DataMisfit.l2_DataMisfit(survey)
reg = Regularization.Tikhonov(mesh)
opt = Optimization.InexactGaussNewton(maxIterLS=20, maxIter=10, tolF=1e-6, tolX=1e-6, tolG=1e-6, maxIterCG=6)
invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta=1e0)
inv = Inversion.BaseInversion(invProb)
self.inv = inv
self.reg = reg
self.p = problem
self.mesh = mesh
self.m0 = mSynth
self.survey = survey
self.dmis = dmis
def test_misfit(self):
derChk = lambda m: [self.survey.dpred(m), lambda mx: self.p.Jvec(self.m0, mx)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
def test_adjoint(self):
# Adjoint Test
u = np.random.rand(self.mesh.nC*self.survey.nSrc)
v = np.random.rand(self.mesh.nC)
w = np.random.rand(self.survey.dobs.shape[0])
wtJv = w.dot(self.p.Jvec(self.m0, v))
vtJtw = v.dot(self.p.Jtvec(self.m0, w))
passed = np.abs(wtJv - vtJtw) < 1e-8
print 'Adjoint Test', np.abs(wtJv - vtJtw), passed
self.assertTrue(passed)
def test_dataObj(self):
derChk = lambda m: [self.dmis.eval(m), self.dmis.evalDeriv(m)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
if __name__ == '__main__':
unittest.main()
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import unittest
from SimPEG import Mesh, Utils, EM, Maps, np
import SimPEG.EM.Static.DC as DC
class DCProblemAnalyticTests(unittest.TestCase):
def setUp(self):
cs = 25.
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)*1e-2
x = mesh.vectorCCx[(mesh.vectorCCx>-155.)&(mesh.vectorCCx<155.)]
y = mesh.vectorCCx[(mesh.vectorCCy>-155.)&(mesh.vectorCCy<155.)]
Aloc = np.r_[-200., 0., 0.]
Bloc = np.r_[200., 0., 0.]
M = Utils.ndgrid(x-25.,y, np.r_[0.])
N = Utils.ndgrid(x+25.,y, np.r_[0.])
phiA = EM.Analytics.DCAnalyticHalf(Aloc, [M,N], 1e-2, flag="halfspace")
phiB = EM.Analytics.DCAnalyticHalf(Bloc, [M,N], 1e-2, flag="halfspace")
data_anal = phiA-phiB
rx = DC.Rx.Dipole(M, N)
src = DC.Src.Dipole([rx], Aloc, Bloc)
survey = DC.Survey([src])
self.survey = survey
self.mesh = mesh
self.sigma = sigma
self.data_anal = data_anal
try:
from pymatsolver import MumpsSolver
self.Solver = MumpsSolver
except ImportError, e:
self.Solver = SolverLU
def test_Problem3D_N(self):
problem = DC.Problem3D_N(self.mesh)
problem.Solver = self.Solver
problem.pair(self.survey)
data = self.survey.dpred(self.sigma)
err= np.linalg.norm(data-self.data_anal)/np.linalg.norm(self.data_anal)
if err < 0.2:
passed = True
print ">> DC analytic test for Problem3D_N is passed"
else:
passed = False
print ">> DC analytic test for Problem3D_N is failed"
self.assertTrue(passed)
def test_Problem3D_CC(self):
problem = DC.Problem3D_CC(self.mesh)
problem.Solver = self.Solver
problem.pair(self.survey)
data = self.survey.dpred(self.sigma)
err= np.linalg.norm(data-self.data_anal)/np.linalg.norm(self.data_anal)
if err < 0.2:
passed = True
print ">> DC analytic test for Problem3D_CC is passed"
else:
passed = False
print ">> DC analytic test for Problem3D_CC is failed"
self.assertTrue(passed)
if __name__ == '__main__':
unittest.main()
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import unittest
from SimPEG import *
import SimPEG.EM.Static.DC as DC
class DCProblemTestsCC(unittest.TestCase):
def setUp(self):
aSpacing=2.5
nElecs=5
surveySize = nElecs*aSpacing - aSpacing
cs = surveySize/nElecs/4
mesh = Mesh.TensorMesh([
[(cs,10, -1.3),(cs,surveySize/cs),(cs,10, 1.3)],
[(cs,3, -1.3),(cs,3,1.3)],
# [(cs,5, -1.3),(cs,10)]
],'CN')
srcList = DC.Utils.WennerSrcList(nElecs, aSpacing, in2D=True)
survey = DC.Survey(srcList)
problem = DC.Problem3D_CC(mesh, mapping=[('rho', Maps.IdentityMap(mesh))])
problem.pair(survey)
mSynth = np.ones(mesh.nC)
survey.makeSyntheticData(mSynth)
# Now set up the problem to do some minimization
dmis = DataMisfit.l2_DataMisfit(survey)
reg = Regularization.Tikhonov(mesh)
opt = Optimization.InexactGaussNewton(maxIterLS=20, maxIter=10, tolF=1e-6, tolX=1e-6, tolG=1e-6, maxIterCG=6)
invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta=1e4)
inv = Inversion.BaseInversion(invProb)
self.inv = inv
self.reg = reg
self.p = problem
self.mesh = mesh
self.m0 = mSynth
self.survey = survey
self.dmis = dmis
def test_misfit(self):
derChk = lambda m: [self.survey.dpred(m), lambda mx: self.p.Jvec(self.m0, mx)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
def test_adjoint(self):
# Adjoint Test
u = np.random.rand(self.mesh.nC*self.survey.nSrc)
v = np.random.rand(self.mesh.nC)
w = np.random.rand(self.survey.dobs.shape[0])
wtJv = w.dot(self.p.Jvec(self.m0, v))
vtJtw = v.dot(self.p.Jtvec(self.m0, w))
passed = np.abs(wtJv - vtJtw) < 1e-10
print 'Adjoint Test', np.abs(wtJv - vtJtw), passed
self.assertTrue(passed)
def test_dataObj(self):
derChk = lambda m: [self.dmis.eval(m), self.dmis.evalDeriv(m)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
class DCProblemTestsN(unittest.TestCase):
def setUp(self):
aSpacing=2.5
nElecs=10
surveySize = nElecs*aSpacing - aSpacing
cs = surveySize/nElecs/4
mesh = Mesh.TensorMesh([
[(cs,10, -1.3),(cs,surveySize/cs),(cs,10, 1.3)],
[(cs,3, -1.3),(cs,3,1.3)],
# [(cs,5, -1.3),(cs,10)]
],'CN')
srcList = DC.Utils.WennerSrcList(nElecs, aSpacing, in2D=True)
survey = DC.Survey(srcList)
problem = DC.Problem3D_N(mesh, mapping=[('rho', Maps.IdentityMap(mesh))])
problem.pair(survey)
mSynth = np.ones(mesh.nC)
survey.makeSyntheticData(mSynth)
# Now set up the problem to do some minimization
dmis = DataMisfit.l2_DataMisfit(survey)
reg = Regularization.Tikhonov(mesh)
opt = Optimization.InexactGaussNewton(maxIterLS=20, maxIter=10, tolF=1e-6, tolX=1e-6, tolG=1e-6, maxIterCG=6)
invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta=1e4)
inv = Inversion.BaseInversion(invProb)
self.inv = inv
self.reg = reg
self.p = problem
self.mesh = mesh
self.m0 = mSynth
self.survey = survey
self.dmis = dmis
def test_misfit(self):
derChk = lambda m: [self.survey.dpred(m), lambda mx: self.p.Jvec(self.m0, mx)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False)
self.assertTrue(passed)
def test_adjoint(self):
# Adjoint Test
u = np.random.rand(self.mesh.nC*self.survey.nSrc)
v = np.random.rand(self.mesh.nC)
w = np.random.rand(self.survey.dobs.shape[0])
wtJv = w.dot(self.p.Jvec(self.m0, v))
vtJtw = v.dot(self.p.Jtvec(self.m0, w))
passed = np.abs(wtJv - vtJtw) < 1e-8
print 'Adjoint Test', np.abs(wtJv - vtJtw), passed
self.assertTrue(passed)
def test_dataObj(self):
derChk = lambda m: [self.dmis.eval(m), self.dmis.evalDeriv(m)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False)
self.assertTrue(passed)
if __name__ == '__main__':
unittest.main()
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import unittest
from SimPEG import Mesh, Utils, EM, Maps, np
import SimPEG.EM.Static.DC as DC
import SimPEG.EM.Static.IP as IP
class IPProblemAnalyticTests(unittest.TestCase):
def setUp(self):
cs = 12.5
npad=2
hx = [(cs,npad, -1.3),(cs,21),(cs,npad, 1.3)]
hy = [(cs,npad, -1.3),(cs,21),(cs,npad, 1.3)]
hz = [(cs,npad, -1.3),(cs,20)]
mesh = Mesh.TensorMesh([hx, hy, hz],x0="CCN")
x = mesh.vectorCCx[(mesh.vectorCCx>-80.)&(mesh.vectorCCx<80.)]
y = mesh.vectorCCx[(mesh.vectorCCy>-80.)&(mesh.vectorCCy<80.)]
Aloc = np.r_[-100., 0., 0.]
Bloc = np.r_[100., 0., 0.]
M = Utils.ndgrid(x-12.5,y, np.r_[0.])
N = Utils.ndgrid(x+12.5,y, np.r_[0.])
radius = 50.
xc = np.r_[0., 0., -100]
blkind = Utils.ModelBuilder.getIndicesSphere(xc, radius, mesh.gridCC)
sigmaInf = np.ones(mesh.nC)*1e-2
eta = np.zeros(mesh.nC)
eta[blkind] = 0.1
sigma0 = sigmaInf*(1.-eta)
rx = DC.Rx.Dipole(M, N)
src = DC.Src.Dipole([rx], Aloc, Bloc)
surveyDC = DC.Survey([src])
self.surveyDC = surveyDC
self.mesh = mesh
self.sigmaInf = sigmaInf
self.sigma0 = sigma0
self.src = src
self.eta = eta
try:
from pymatsolver import MumpsSolver
self.Solver = MumpsSolver
except ImportError, e:
self.Solver = SolverLU
def test_Problem3D_N(self):
problemDC = DC.Problem3D_N(self.mesh)
problemDC.Solver = self.Solver
problemDC.pair(self.surveyDC)
data0 = self.surveyDC.dpred(self.sigma0)
finf = problemDC.fields(self.sigmaInf)
datainf = self.surveyDC.dpred(self.sigmaInf, f=finf)
problemIP = IP.Problem3D_N(self.mesh, sigma=self.sigmaInf, Ainv=problemDC.Ainv, f=finf)
problemIP.Solver = self.Solver
surveyIP = IP.Survey([self.src])
problemIP.pair(surveyIP)
data_full = data0 - datainf
data = surveyIP.dpred(self.eta)
err= np.linalg.norm((data-data_full)/data_full)**2 / data_full.size
if err < 0.05:
passed = True
print ">> IP forward test for Problem3D_N is passed"
else:
passed = False
print ">> IP forward test for Problem3D_N is failed"
self.assertTrue(passed)
def test_Problem3D_CC(self):
problemDC = DC.Problem3D_CC(self.mesh)
problemDC.Solver = self.Solver
problemDC.pair(self.surveyDC)
data0 = self.surveyDC.dpred(self.sigma0)
finf = problemDC.fields(self.sigmaInf)
datainf = self.surveyDC.dpred(self.sigmaInf, f=finf)
problemIP = IP.Problem3D_CC(self.mesh, rho=1./self.sigmaInf, Ainv=problemDC.Ainv, f=finf)
problemIP.Solver = self.Solver
surveyIP = IP.Survey([self.src])
problemIP.pair(surveyIP)
data_full = data0 - datainf
data = surveyIP.dpred(self.eta)
err= np.linalg.norm((data-data_full)/data_full)**2 / data_full.size
if err < 0.05:
passed = True
print ">> IP forward test for Problem3D_CC is passed"
else:
passed = False
print ">> IP forward test for Problem3D_CC is failed"
self.assertTrue(passed)
if __name__ == '__main__':
unittest.main()
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import unittest
from SimPEG import *
import SimPEG.EM.Static.DC as DC
import SimPEG.EM.Static.IP as IP
class IPProblemTestsCC(unittest.TestCase):
def setUp(self):
aSpacing=2.5
nElecs=5
surveySize = nElecs*aSpacing - aSpacing
cs = surveySize/nElecs/4
mesh = Mesh.TensorMesh([
[(cs,10, -1.3),(cs,surveySize/cs),(cs,10, 1.3)],
[(cs,3, -1.3),(cs,3,1.3)],
# [(cs,5, -1.3),(cs,10)]
],'CN')
srcList = DC.Utils.WennerSrcList(nElecs, aSpacing, in2D=True)
survey = IP.Survey(srcList)
sigma = np.ones(mesh.nC)
problem = IP.Problem3D_CC(mesh, rho=1./sigma)
problem.pair(survey)
mSynth = np.ones(mesh.nC)*0.1
survey.makeSyntheticData(mSynth)
# Now set up the problem to do some minimization
dmis = DataMisfit.l2_DataMisfit(survey)
reg = Regularization.Tikhonov(mesh)
opt = Optimization.InexactGaussNewton(maxIterLS=20, maxIter=10, tolF=1e-6, tolX=1e-6, tolG=1e-6, maxIterCG=6)
invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta=1e4)
inv = Inversion.BaseInversion(invProb)
self.inv = inv
self.reg = reg
self.p = problem
self.mesh = mesh
self.m0 = mSynth
self.survey = survey
self.dmis = dmis
def test_misfit(self):
derChk = lambda m: [self.survey.dpred(m), lambda mx: self.p.Jvec(self.m0, mx)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
def test_adjoint(self):
# Adjoint Test
u = np.random.rand(self.mesh.nC*self.survey.nSrc)
v = np.random.rand(self.mesh.nC)
w = np.random.rand(self.survey.dobs.shape[0])
wtJv = w.dot(self.p.Jvec(self.m0, v))
vtJtw = v.dot(self.p.Jtvec(self.m0, w))
passed = np.abs(wtJv - vtJtw) < 1e-10
print 'Adjoint Test', np.abs(wtJv - vtJtw), passed
self.assertTrue(passed)
def test_dataObj(self):
derChk = lambda m: [self.dmis.eval(m), self.dmis.evalDeriv(m)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
class IPProblemTestsN(unittest.TestCase):
def setUp(self):
aSpacing=2.5
nElecs=5
surveySize = nElecs*aSpacing - aSpacing
cs = surveySize/nElecs/4
mesh = Mesh.TensorMesh([
[(cs,10, -1.3),(cs,surveySize/cs),(cs,10, 1.3)],
[(cs,3, -1.3),(cs,3,1.3)],
# [(cs,5, -1.3),(cs,10)]
],'CN')
srcList = DC.Utils.WennerSrcList(nElecs, aSpacing, in2D=True)
survey = IP.Survey(srcList)
sigma = np.ones(mesh.nC)
problem = IP.Problem3D_N(mesh, sigma=sigma)
problem.pair(survey)
mSynth = np.ones(mesh.nC)*0.1
survey.makeSyntheticData(mSynth)
# Now set up the problem to do some minimization
dmis = DataMisfit.l2_DataMisfit(survey)
reg = Regularization.Tikhonov(mesh)
opt = Optimization.InexactGaussNewton(maxIterLS=20, maxIter=10, tolF=1e-6, tolX=1e-6, tolG=1e-6, maxIterCG=6)
invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta=1e4)
inv = Inversion.BaseInversion(invProb)
self.inv = inv
self.reg = reg
self.p = problem
self.mesh = mesh
self.m0 = mSynth
self.survey = survey
self.dmis = dmis
def test_misfit(self):
derChk = lambda m: [self.survey.dpred(m), lambda mx: self.p.Jvec(self.m0, mx)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
def test_adjoint(self):
# Adjoint Test
u = np.random.rand(self.mesh.nC*self.survey.nSrc)
v = np.random.rand(self.mesh.nC)
w = np.random.rand(self.survey.dobs.shape[0])
wtJv = w.dot(self.p.Jvec(self.m0, v))
vtJtw = v.dot(self.p.Jtvec(self.m0, w))
passed = np.abs(wtJv - vtJtw) < 1e-8
print 'Adjoint Test', np.abs(wtJv - vtJtw), passed
self.assertTrue(passed)
def test_dataObj(self):
derChk = lambda m: [self.dmis.eval(m), self.dmis.evalDeriv(m)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
if __name__ == '__main__':
unittest.main()
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import unittest
from SimPEG import *
import SimPEG
from SimPEG import Mesh, Utils, EM, Maps, np, Survey
from SimPEG.EM.Static import SIP, DC, IP
from pymatsolver import MumpsSolver
class IPProblemTestsCC(unittest.TestCase):
def setUp(self):
cs = 25.
hx = [(cs,0, -1.3),(cs,21),(cs,0, 1.3)]
hy = [(cs,0, -1.3),(cs,21),(cs,0, 1.3)]
hz = [(cs,0, -1.3),(cs,20)]
mesh = Mesh.TensorMesh([hx, hy, hz],x0="CCN")
blkind0 = Utils.ModelBuilder.getIndicesSphere(np.r_[-100., -100., -200.], 75., mesh.gridCC)
blkind1 = Utils.ModelBuilder.getIndicesSphere(np.r_[100., 100., -200.], 75., mesh.gridCC)
sigma = np.ones(mesh.nC)*1e-2
eta = np.zeros(mesh.nC)
tau = np.ones_like(sigma)*1.
eta[blkind0] = 0.1
eta[blkind1] = 0.1
tau[blkind0] = 0.1
tau[blkind1] = 0.01
x = mesh.vectorCCx[(mesh.vectorCCx>-155.)&(mesh.vectorCCx<155.)]
y = mesh.vectorCCx[(mesh.vectorCCy>-155.)&(mesh.vectorCCy<155.)]
Aloc = np.r_[-200., 0., 0.]
Bloc = np.r_[200., 0., 0.]
M = Utils.ndgrid(x-25.,y, np.r_[0.])
N = Utils.ndgrid(x+25.,y, np.r_[0.])
times = np.arange(10)*1e-3 + 1e-3
rx = SIP.Rx.Dipole(M, N, times)
src = SIP.Src.Dipole([rx], Aloc, Bloc)
survey = SIP.Survey([src])
colemap = [("eta", Maps.IdentityMap(mesh)), ("taui", Maps.IdentityMap(mesh))]
problem = SIP.Problem3D_CC(mesh, rho=1./sigma, mapping=colemap)
problem.Solver = MumpsSolver
problem.pair(survey)
mSynth = np.r_[eta, 1./tau]
survey.makeSyntheticData(mSynth)
# Now set up the problem to do some minimization
dmis = DataMisfit.l2_DataMisfit(survey)
reg = Regularization.Tikhonov(mesh)
opt = Optimization.InexactGaussNewton(maxIterLS=20, maxIter=10, tolF=1e-6, tolX=1e-6, tolG=1e-6, maxIterCG=6)
invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta=1e4)
inv = Inversion.BaseInversion(invProb)
self.inv = inv
self.reg = reg
self.p = problem
self.mesh = mesh
self.m0 = mSynth
self.survey = survey
self.dmis = dmis
def test_misfit(self):
derChk = lambda m: [self.survey.dpred(m), lambda mx: self.p.Jvec(self.m0, mx)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
def test_adjoint(self):
# Adjoint Test
u = np.random.rand(self.mesh.nC*self.survey.nSrc)
v = np.random.rand(self.mesh.nC*2)
w = np.random.rand(self.survey.dobs.shape[0])
wtJv = w.dot(self.p.Jvec(self.m0, v))
vtJtw = v.dot(self.p.Jtvec(self.m0, w))
passed = np.abs(wtJv - vtJtw) < 1e-10
print 'Adjoint Test', np.abs(wtJv - vtJtw), passed
self.assertTrue(passed)
def test_dataObj(self):
derChk = lambda m: [self.dmis.eval(m), self.dmis.evalDeriv(m)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
class IPProblemTestsN(unittest.TestCase):
def setUp(self):
cs = 25.
hx = [(cs,0, -1.3),(cs,21),(cs,0, 1.3)]
hy = [(cs,0, -1.3),(cs,21),(cs,0, 1.3)]
hz = [(cs,0, -1.3),(cs,20)]
mesh = Mesh.TensorMesh([hx, hy, hz],x0="CCN")
blkind0 = Utils.ModelBuilder.getIndicesSphere(np.r_[-100., -100., -200.], 75., mesh.gridCC)
blkind1 = Utils.ModelBuilder.getIndicesSphere(np.r_[100., 100., -200.], 75., mesh.gridCC)
sigma = np.ones(mesh.nC)*1e-2
eta = np.zeros(mesh.nC)
tau = np.ones_like(sigma)*1.
eta[blkind0] = 0.1
eta[blkind1] = 0.1
tau[blkind0] = 0.1
tau[blkind1] = 0.01
x = mesh.vectorCCx[(mesh.vectorCCx>-155.)&(mesh.vectorCCx<155.)]
y = mesh.vectorCCx[(mesh.vectorCCy>-155.)&(mesh.vectorCCy<155.)]
Aloc = np.r_[-200., 0., 0.]
Bloc = np.r_[200., 0., 0.]
M = Utils.ndgrid(x-25.,y, np.r_[0.])
N = Utils.ndgrid(x+25.,y, np.r_[0.])
times = np.arange(10)*1e-3 + 1e-3
rx = SIP.Rx.Dipole(M, N, times)
src = SIP.Src.Dipole([rx], Aloc, Bloc)
survey = SIP.Survey([src])
colemap = [("eta", Maps.IdentityMap(mesh)), ("taui", Maps.IdentityMap(mesh))]
problem = SIP.Problem3D_N(mesh, sigma=sigma, mapping=colemap)
problem.Solver = MumpsSolver
problem.pair(survey)
mSynth = np.r_[eta, 1./tau]
survey.makeSyntheticData(mSynth)
# Now set up the problem to do some minimization
dmis = DataMisfit.l2_DataMisfit(survey)
reg = Regularization.Tikhonov(mesh)
opt = Optimization.InexactGaussNewton(maxIterLS=20, maxIter=10, tolF=1e-6, tolX=1e-6, tolG=1e-6, maxIterCG=6)
invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta=1e4)
inv = Inversion.BaseInversion(invProb)
self.inv = inv
self.reg = reg
self.p = problem
self.mesh = mesh
self.m0 = mSynth
self.survey = survey
self.dmis = dmis
def test_misfit(self):
derChk = lambda m: [self.survey.dpred(m), lambda mx: self.p.Jvec(self.m0, mx)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
def test_adjoint(self):
# Adjoint Test
u = np.random.rand(self.mesh.nC*self.survey.nSrc)
v = np.random.rand(self.mesh.nC*2)
w = np.random.rand(self.survey.dobs.shape[0])
wtJv = w.dot(self.p.Jvec(self.m0, v))
vtJtw = v.dot(self.p.Jtvec(self.m0, w))
passed = np.abs(wtJv - vtJtw) < 1e-8
print 'Adjoint Test', np.abs(wtJv - vtJtw), passed
self.assertTrue(passed)
def test_dataObj(self):
derChk = lambda m: [self.dmis.eval(m), self.dmis.evalDeriv(m)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
class IPProblemTestsN_air(unittest.TestCase):
def setUp(self):
cs = 25.
hx = [(cs,0, -1.3),(cs,21),(cs,0, 1.3)]
hy = [(cs,0, -1.3),(cs,21),(cs,0, 1.3)]
hz = [(cs,0, -1.3),(cs,20),(cs,0, 1.3)]
mesh = Mesh.TensorMesh([hx, hy, hz],x0="CCC")
blkind0 = Utils.ModelBuilder.getIndicesSphere(np.r_[-100., -100., -200.], 75., mesh.gridCC)
blkind1 = Utils.ModelBuilder.getIndicesSphere(np.r_[100., 100., -200.], 75., mesh.gridCC)
sigma = np.ones(mesh.nC)*1e-2
airind = mesh.gridCC[:,2]>0.
sigma[airind] = 1e-8
eta = np.zeros(mesh.nC)
tau = np.ones_like(sigma)*1.
eta[blkind0] = 0.1
eta[blkind1] = 0.1
tau[blkind0] = 0.1
tau[blkind1] = 0.01
actmapeta = Maps.InjectActiveCells(mesh, ~airind, 0.)
actmaptau = Maps.InjectActiveCells(mesh, ~airind, 1.)
x = mesh.vectorCCx[(mesh.vectorCCx>-155.)&(mesh.vectorCCx<155.)]
y = mesh.vectorCCx[(mesh.vectorCCy>-155.)&(mesh.vectorCCy<155.)]
Aloc = np.r_[-200., 0., 0.]
Bloc = np.r_[200., 0., 0.]
M = Utils.ndgrid(x-25.,y, np.r_[0.])
N = Utils.ndgrid(x+25.,y, np.r_[0.])
times = np.arange(10)*1e-3 + 1e-3
rx = SIP.Rx.Dipole(M, N, times)
src = SIP.Src.Dipole([rx], Aloc, Bloc)
survey = SIP.Survey([src])
colemap = [("eta", Maps.IdentityMap(mesh)*actmapeta), ("taui", Maps.IdentityMap(mesh)*actmaptau)]
problem = SIP.Problem3D_N(mesh, sigma=sigma, mapping=colemap)
problem.Solver = MumpsSolver
problem.pair(survey)
mSynth = np.r_[eta[~airind], 1./tau[~airind]]
survey.makeSyntheticData(mSynth)
# Now set up the problem to do some minimization
dmis = DataMisfit.l2_DataMisfit(survey)
regmap = Maps.IdentityMap(nP=int(mSynth[~airind].size*2))
reg = SIP.MultiRegularization(mesh, mapping=regmap, nModels=2, indActive=~airind)
opt = Optimization.InexactGaussNewton(maxIterLS=20, maxIter=10, tolF=1e-6, tolX=1e-6, tolG=1e-6, maxIterCG=6)
invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta=1e4)
inv = Inversion.BaseInversion(invProb)
self.inv = inv
self.reg = reg
self.p = problem
self.mesh = mesh
self.m0 = mSynth
self.survey = survey
self.dmis = dmis
def test_misfit(self):
derChk = lambda m: [self.survey.dpred(m), lambda mx: self.p.Jvec(self.m0, mx)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
def test_adjoint(self):
# Adjoint Test
u = np.random.rand(self.mesh.nC*self.survey.nSrc)
v = np.random.rand(self.mesh.nC)
w = np.random.rand(self.survey.dobs.shape[0])
wtJv = w.dot(self.p.Jvec(self.m0, v))
vtJtw = v.dot(self.p.Jtvec(self.m0, w))
passed = np.abs(wtJv - vtJtw) < 1e-8
print 'Adjoint Test', np.abs(wtJv - vtJtw), passed
self.assertTrue(passed)
def test_dataObj(self):
derChk = lambda m: [self.dmis.eval(m), self.dmis.evalDeriv(m)]
passed = Tests.checkDerivative(derChk, self.m0, plotIt=False, num=3)
self.assertTrue(passed)
if __name__ == '__main__':
unittest.main()
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import numpy as np
import scipy.sparse as sp
import unittest
import matplotlib.pyplot as plt
from SimPEG import *
MESHTYPES = ['uniformTensorMesh']
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
class Test1D_InhomogeneousMixed(Tests.OrderTest):
name = "1D - Mixed"
meshTypes = MESHTYPES
meshDimension = 1
expectedOrders = 2
meshSizes = [4, 8, 16, 32]
def getError(self):
#Test function
phi_fun = lambda x: np.cos(np.pi*x)
j_fun = lambda x: np.pi*np.sin(np.pi*x)
phi_deriv = lambda x: -j_fun(x)
q_fun = lambda x: (np.pi**2)*np.cos(np.pi*x)
xc_ana = phi_fun(self.M.gridCC)
q_ana = q_fun(self.M.gridCC)
j_ana = j_fun(self.M.gridFx)
# Get boundary locations
vecN = self.M.vectorNx
vecC = self.M.vectorCCx
# Setup Mixed B.C (alpha, beta, gamma)
alpha_xm, alpha_xp = 1., 1.
beta_xm, beta_xp = 1., 1.
alpha = np.r_[alpha_xm, alpha_xp]
beta = np.r_[beta_xm, beta_xp]
vecN = self.M.vectorNx
vecC = self.M.vectorCCx
phi_bc = phi_fun(vecN[[0,-1]])
phi_deriv_bc = phi_deriv(vecN[[0,-1]])
gamma = alpha*phi_bc + beta*phi_deriv_bc
x_BC, y_BC = getxBCyBC_CC(self.M, alpha, beta, gamma)
sigma = np.ones(self.M.nC)
Mfrho = self.M.getFaceInnerProduct(1./sigma)
MfrhoI = self.M.getFaceInnerProduct(1./sigma, invMat=True)
V = Utils.sdiag(self.M.vol)
Div = V*self.M.faceDiv
P_BC, B = self.M.getBCProjWF_simple()
q = q_fun(self.M.gridCC)
M = B*self.M.aveCC2F
G = Div.T - P_BC*Utils.sdiag(y_BC)*M
# Mrhoj = D.T V phi + P_BC*Utils.sdiag(y_BC)*M phi - P_BC*x_BC
rhs = V*q + Div*MfrhoI*P_BC*x_BC
A = Div*MfrhoI*G
if self.myTest == 'xc':
#TODO: fix the null space
Ainv = Solver(A)
xc = Ainv*rhs
err = np.linalg.norm((xc-xc_ana), np.inf)
else:
NotImplementedError
return err
def test_order(self):
print "==== Testing Mixed boudary conduction for CC-problem ===="
self.name = "1D"
self.myTest = 'xc'
self.orderTest()
class Test2D_InhomogeneousMixed(Tests.OrderTest):
name = "2D - Mixed"
meshTypes = MESHTYPES
meshDimension = 2
expectedOrders = 2
meshSizes = [4, 8, 16, 32]
def getError(self):
#Test function
phi_fun = lambda x: np.cos(np.pi*x[:,0])*np.cos(np.pi*x[:,1])
j_funX = lambda x: +np.pi*np.sin(np.pi*x[:,0])*np.cos(np.pi*x[:,1])
j_funY = lambda x: +np.pi*np.cos(np.pi*x[:,0])*np.sin(np.pi*x[:,1])
phideriv_funX = lambda x: -j_funX(x)
phideriv_funY = lambda x: -j_funY(x)
q_fun = lambda x: +2*(np.pi**2)*phi_fun(x)
xc_ana = phi_fun(self.M.gridCC)
q_ana = q_fun(self.M.gridCC)
jX_ana = j_funX(self.M.gridFx)
jY_ana = j_funY(self.M.gridFy)
j_ana = np.r_[jX_ana,jY_ana]
# Get boundary locations
fxm,fxp,fym,fyp = self.M.faceBoundaryInd
gBFxm = self.M.gridFx[fxm,:]
gBFxp = self.M.gridFx[fxp,:]
gBFym = self.M.gridFy[fym,:]
gBFyp = self.M.gridFy[fyp,:]
# Setup Mixed B.C (alpha, beta, gamma)
alpha_xm, alpha_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
beta_xm, beta_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
alpha_ym, alpha_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
beta_ym, beta_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
phi_bc_xm, phi_bc_xp = phi_fun(gBFxm), phi_fun(gBFxp)
phi_bc_ym, phi_bc_yp = phi_fun(gBFym), phi_fun(gBFyp)
phiderivX_bc_xm, phiderivX_bc_xp = phideriv_funX(gBFxm), phideriv_funX(gBFxp)
phiderivY_bc_ym, phiderivY_bc_yp = phideriv_funY(gBFym), phideriv_funY(gBFyp)
gamma_fun = lambda alpha, beta, phi, phi_deriv: alpha*phi + beta*phi_deriv
gamma_xm = gamma_fun(alpha_xm, beta_xm, phi_bc_xm, phiderivX_bc_xm)
gamma_xp = gamma_fun(alpha_xp, beta_xp, phi_bc_xp, phiderivX_bc_xp)
gamma_ym = gamma_fun(alpha_ym, beta_ym, phi_bc_ym, phiderivY_bc_ym)
gamma_yp = gamma_fun(alpha_yp, beta_yp, phi_bc_yp, phiderivY_bc_yp)
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.M, alpha, beta, gamma)
sigma = np.ones(self.M.nC)
Mfrho = self.M.getFaceInnerProduct(1./sigma)
MfrhoI = self.M.getFaceInnerProduct(1./sigma, invMat=True)
V = Utils.sdiag(self.M.vol)
Div = V*self.M.faceDiv
P_BC, B = self.M.getBCProjWF_simple()
q = q_fun(self.M.gridCC)
M = B*self.M.aveCC2F
G = Div.T - P_BC*Utils.sdiag(y_BC)*M
rhs = V*q + Div*MfrhoI*P_BC*x_BC
A = Div*MfrhoI*G
if self.myTest == 'xc':
Ainv = Solver(A)
xc = Ainv*rhs
err = np.linalg.norm((xc-xc_ana), np.inf)
else:
NotImplementedError
return err
def test_order(self):
print "==== Testing Mixed boudary conduction for CC-problem ===="
self.name = "2D"
self.myTest = 'xc'
self.orderTest()
class Test3D_InhomogeneousMixed(Tests.OrderTest):
name = "3D - Mixed"
meshTypes = MESHTYPES
meshDimension = 3
expectedOrders = 2
meshSizes = [4, 8, 16]
def getError(self):
#Test function
phi_fun = lambda x: np.cos(np.pi*x[:,0])*np.cos(np.pi*x[:,1])*np.cos(np.pi*x[:,2])
j_funX = lambda x: +np.pi*np.sin(np.pi*x[:,0])*np.cos(np.pi*x[:,1])*np.cos(np.pi*x[:,2])
j_funY = lambda x: +np.pi*np.cos(np.pi*x[:,0])*np.sin(np.pi*x[:,1])*np.cos(np.pi*x[:,2])
j_funZ = lambda x: +np.pi*np.cos(np.pi*x[:,0])*np.cos(np.pi*x[:,1])*np.sin(np.pi*x[:,2])
phideriv_funX = lambda x: -j_funX(x)
phideriv_funY = lambda x: -j_funY(x)
phideriv_funZ = lambda x: -j_funZ(x)
q_fun = lambda x: 3*(np.pi**2)*phi_fun(x)
xc_ana = phi_fun(self.M.gridCC)
q_ana = q_fun(self.M.gridCC)
jX_ana = j_funX(self.M.gridFx)
jY_ana = j_funY(self.M.gridFy)
j_ana = np.r_[jX_ana,jY_ana,jY_ana]
# Get boundary locations
fxm,fxp,fym,fyp,fzm,fzp = self.M.faceBoundaryInd
gBFxm = self.M.gridFx[fxm,:]
gBFxp = self.M.gridFx[fxp,:]
gBFym = self.M.gridFy[fym,:]
gBFyp = self.M.gridFy[fyp,:]
gBFzm = self.M.gridFz[fzm,:]
gBFzp = self.M.gridFz[fzp,:]
# Setup Mixed B.C (alpha, beta, gamma)
alpha_xm, alpha_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
beta_xm, beta_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
alpha_ym, alpha_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
beta_ym, beta_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
alpha_zm, alpha_zp = np.ones_like(gBFzm[:,2]), np.ones_like(gBFzp[:,2])
beta_zm, beta_zp = np.ones_like(gBFzm[:,2]), np.ones_like(gBFzp[:,2])
phi_bc_xm, phi_bc_xp = phi_fun(gBFxm), phi_fun(gBFxp)
phi_bc_ym, phi_bc_yp = phi_fun(gBFym), phi_fun(gBFyp)
phi_bc_zm, phi_bc_zp = phi_fun(gBFzm), phi_fun(gBFzp)
phiderivX_bc_xm, phiderivX_bc_xp = phideriv_funX(gBFxm), phideriv_funX(gBFxp)
phiderivY_bc_ym, phiderivY_bc_yp = phideriv_funY(gBFym), phideriv_funY(gBFyp)
phiderivY_bc_zm, phiderivY_bc_zp = phideriv_funZ(gBFzm), phideriv_funZ(gBFzp)
gamma_fun = lambda alpha, beta, phi, phi_deriv: alpha*phi + beta*phi_deriv
gamma_xm = gamma_fun(alpha_xm, beta_xm, phi_bc_xm, phiderivX_bc_xm)
gamma_xp = gamma_fun(alpha_xp, beta_xp, phi_bc_xp, phiderivX_bc_xp)
gamma_ym = gamma_fun(alpha_ym, beta_ym, phi_bc_ym, phiderivY_bc_ym)
gamma_yp = gamma_fun(alpha_yp, beta_yp, phi_bc_yp, phiderivY_bc_yp)
gamma_zm = gamma_fun(alpha_zm, beta_zm, phi_bc_zm, phiderivY_bc_zm)
gamma_zp = gamma_fun(alpha_zp, beta_zp, phi_bc_zp, phiderivY_bc_zp)
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]
x_BC, y_BC = getxBCyBC_CC(self.M, alpha, beta, gamma)
sigma = np.ones(self.M.nC)
Mfrho = self.M.getFaceInnerProduct(1./sigma)
MfrhoI = self.M.getFaceInnerProduct(1./sigma, invMat=True)
V = Utils.sdiag(self.M.vol)
Div = V*self.M.faceDiv
P_BC, B = self.M.getBCProjWF_simple()
q = q_fun(self.M.gridCC)
M = B*self.M.aveCC2F
G = Div.T - P_BC*Utils.sdiag(y_BC)*M
rhs = V*q + Div*MfrhoI*P_BC*x_BC
A = Div*MfrhoI*G
if self.myTest == 'xc':
#TODO: fix the null space
Ainv = Solver(A)
xc = Ainv*rhs
err = np.linalg.norm((xc-xc_ana), np.inf)
else:
NotImplementedError
return err
def test_order(self):
print "==== Testing Mixed boudary conduction for CC-problem ===="
self.name = "3D"
self.myTest = 'xc'
self.orderTest()
if __name__ == '__main__':
unittest.main()
@@ -242,9 +242,6 @@ class TestAnalytics(unittest.TestCase):
def test_appRes1en3(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(1e-3))
def test_appPhs1en3(self):self.assertTrue(appResPhsHalfspace_eFrom_ps_Norm(1e-3,False))
# Do a derivative test
def test_derivProj1(self):self.assertTrue(DerivProjfieldsTest(halfSpace(1e-2)))
# Do a derivative test of Jvec
# def test_derivJvec_zxxr(self):self.assertTrue(DerivJvecTest(random(1e-2),'zxxr',.1))
# def test_derivJvec_zxxi(self):self.assertTrue(DerivJvecTest(random(1e-2),'zxxi',.1))