mirror of
https://github.com/wassname/simpeg.git
synced 2026-09-13 13:03:14 +08:00
Compare commits
1
Commits
| Author | SHA1 | Date | |
|---|---|---|---|
|
|
33ea89702e |
+194
-155
@@ -1,16 +1,12 @@
|
||||
from SimPEG import np, Utils
|
||||
from SimPEG import np
|
||||
import BaseDC as DC
|
||||
import BaseDC as IP
|
||||
import warnings
|
||||
|
||||
def getActiveindfromTopo(mesh, topo):
|
||||
# def genActiveindfromTopo(mesh, topo):
|
||||
"""
|
||||
Get active indices from topography
|
||||
"""
|
||||
warnings.warn(
|
||||
"`getActiveindfromTopo` is deprecated and will be removed in future versions. Use `SimPEG.Utils.surface2ind_topo` instead",
|
||||
FutureWarning)
|
||||
from scipy.interpolate import NearestNDInterpolator
|
||||
if mesh.dim==3:
|
||||
nCxy = mesh.nCx*mesh.nCy
|
||||
@@ -32,9 +28,6 @@ def gettopoCC(mesh, airind):
|
||||
"""
|
||||
Get topography from active indices of mesh.
|
||||
"""
|
||||
warnings.warn(
|
||||
"`gettopoCC` is deprecated and will be removed in future versions. Use `SimPEG.Utils.surface2ind_topo` instead",
|
||||
FutureWarning)
|
||||
mesh2D = Mesh.TensorMesh([mesh.hx, mesh.hy], mesh.x0[:2])
|
||||
zc = mesh.gridCC[:,2]
|
||||
AIRIND = airind.reshape((mesh.vnC[0]*mesh.vnC[1],mesh.vnC[2]), order='F')
|
||||
@@ -125,27 +118,34 @@ def readUBC_DC3Dobstopo(filename,mesh,topo,probType="CC"):
|
||||
|
||||
def readUBC_DC2DModel(fileName):
|
||||
"""
|
||||
Read UBC GIF 2DTensor model and generate 2D Tensor model in simpeg
|
||||
Read UBC GIF 2DTensor model and generate 2D Tensor model in simpeg
|
||||
|
||||
:param string fileName: path to the UBC GIF 2D model file
|
||||
:rtype: TensorMesh
|
||||
:return: SimPEG TensorMesh 2D object
|
||||
Input:
|
||||
:param fileName, path to the UBC GIF 2D model file
|
||||
|
||||
Output:
|
||||
:param SimPEG TensorMesh 2D object
|
||||
:return
|
||||
|
||||
Created on Thu Nov 12 13:14:10 2015
|
||||
|
||||
@author: dominiquef
|
||||
|
||||
"""
|
||||
from SimPEG import np, mkvc
|
||||
|
||||
# Open fileand skip header... assume that we know the mesh already
|
||||
obsfile = np.genfromtxt(fileName, delimiter=' \n', dtype=np.str, comments='!')
|
||||
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!')
|
||||
|
||||
dim = np.array(obsfile[0].split(), dtype=float)
|
||||
dim = np.array(obsfile[0].split(),dtype=float)
|
||||
|
||||
temp = np.array(obsfile[1].split(), dtype=float)
|
||||
temp = np.array(obsfile[1].split(),dtype=float)
|
||||
|
||||
if len(temp) > 1:
|
||||
model = np.zeros(dim)
|
||||
|
||||
for ii in range(len(obsfile)-1):
|
||||
mm = np.array(obsfile[ii+1].split(), dtype=float)
|
||||
mm = np.array(obsfile[ii+1].split(),dtype=float)
|
||||
model[:,ii] = mm
|
||||
|
||||
model = model[:,::-1]
|
||||
@@ -153,10 +153,10 @@ def readUBC_DC2DModel(fileName):
|
||||
else:
|
||||
|
||||
if len(obsfile[1:])==1:
|
||||
mm = np.array(obsfile[1:].split(), dtype=float)
|
||||
mm = np.array(obsfile[1:].split(),dtype=float)
|
||||
|
||||
else:
|
||||
mm = np.array(obsfile[1:], dtype=float)
|
||||
mm = np.array(obsfile[1:],dtype=float)
|
||||
|
||||
# Permute the second dimension to flip the order
|
||||
model = mm.reshape(dim[1],dim[0])
|
||||
@@ -169,19 +169,23 @@ def readUBC_DC2DModel(fileName):
|
||||
|
||||
return model
|
||||
|
||||
|
||||
def plot_pseudoSection(DCsurvey, axs, surveyType='dipole-dipole', unitType='volt', clim=None, cblabel=True, axlabel = True, colorbar = True, contour = None):
|
||||
def plot_pseudoSection(DCsurvey, axs, stype='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.
|
||||
Read list of 2D tx-rx location and plot a speudo-section of apparent
|
||||
resistivity.
|
||||
|
||||
Assumes flat topo for now...
|
||||
Assumes flat topo for now...
|
||||
|
||||
:param SurveyDC DCsurvey:
|
||||
:param string surveyType: Either 'pole-dipole' | 'dipole-dipole'
|
||||
:param string unitType: Either 'appResistivity' | 'appConductivity' | 'volt'
|
||||
:rtype: matplotlib.plt
|
||||
:return: figure scatter plot overlayed on image
|
||||
Input:
|
||||
:param d2D, z0
|
||||
:switch stype -> Either 'pdp' (pole-dipole) | 'dpdp' (dipole-dipole)
|
||||
: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
|
||||
@@ -214,39 +218,39 @@ def plot_pseudoSection(DCsurvey, axs, surveyType='dipole-dipole', unitType='volt
|
||||
Cmid = (Tx[0][0] + Tx[1][0])/2
|
||||
Pmid = (Rx[0][:,0] + Rx[1][:,0])/2
|
||||
|
||||
# Change output for unitType
|
||||
if unitType == 'volt':
|
||||
# Change output for dtype
|
||||
if dtype == 'volt':
|
||||
|
||||
rho = np.hstack([rho,data])
|
||||
|
||||
else:
|
||||
|
||||
# Compute pant leg of apparent rho
|
||||
if surveyType == 'pole-dipole':
|
||||
if stype == 'pdp':
|
||||
|
||||
leg = data * 2*np.pi * MA * ( MA + MN ) / MN
|
||||
|
||||
elif surveyType == 'dipole-dipole':
|
||||
elif stype == 'dpdp':
|
||||
|
||||
leg = data * 2*np.pi / ( 1/MA - 1/MB - 1/NB + 1/NA )
|
||||
|
||||
else:
|
||||
print """unitType must be 'pole-dipole' | 'dipole-dipole' """
|
||||
print """dtype must be 'pdp'(pole-dipole) | 'dpdp' (dipole-dipole) """
|
||||
break
|
||||
|
||||
|
||||
if unitType == 'appConductivity':
|
||||
if dtype == 'appc':
|
||||
|
||||
leg = np.log10(abs(1./leg))
|
||||
rho = np.hstack([rho,leg])
|
||||
|
||||
elif unitType == 'appResistivity':
|
||||
elif dtype == 'appr':
|
||||
|
||||
leg = np.log10(abs(leg))
|
||||
rho = np.hstack([rho,leg])
|
||||
|
||||
else:
|
||||
print """unitType must be 'appResistivity' | 'appConductivity' | 'volt' """
|
||||
print """dtype must be 'appr' | 'appc' | 'volt' """
|
||||
break
|
||||
|
||||
midx = np.hstack([midx, ( Cmid + Pmid )/2 ])
|
||||
@@ -255,7 +259,7 @@ def plot_pseudoSection(DCsurvey, axs, surveyType='dipole-dipole', unitType='volt
|
||||
# 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()
|
||||
@@ -264,39 +268,38 @@ def plot_pseudoSection(DCsurvey, axs, surveyType='dipole-dipole', unitType='volt
|
||||
|
||||
# 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, vmin = vmin, vmax = vmax)
|
||||
plt.gca().tick_params(axis='both', which='major', labelsize=8)
|
||||
|
||||
|
||||
if contour is not None:
|
||||
plt.contour(grid_x,grid_z,grid_rho,levels = contour,colors = 'r', vmin = vmin, vmax = vmax)
|
||||
|
||||
|
||||
# Add scatter points
|
||||
axs.scatter(midx,midz,s=10,c=rho.T, vmin = vmin, vmax = vmax)
|
||||
|
||||
|
||||
if colorbar:
|
||||
|
||||
if unitType == 'volt':
|
||||
|
||||
if dtype == 'volt':
|
||||
cbar = plt.colorbar(ph, ax = axs, format="%4.1f",fraction=0.04,orientation="horizontal")
|
||||
|
||||
else:
|
||||
else:
|
||||
cbar = plt.colorbar(ph, ax = axs, format="$10^{%.1f}$",fraction=0.04,orientation="horizontal")
|
||||
|
||||
cmin,cmax = cbar.get_clim()
|
||||
ticks = np.linspace(cmin,cmax,3)
|
||||
cbar.set_ticks(ticks)
|
||||
cbar.ax.tick_params(labelsize=10)
|
||||
|
||||
if unitType == 'appConductivity':
|
||||
|
||||
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 unitType == 'appResistivity':
|
||||
elif dtype == 'appr':
|
||||
cbar.set_label("App.Res.",size=12)
|
||||
elif unitType == 'volt':
|
||||
elif dtype == 'volt':
|
||||
cbar.set_label("Potential (V)",size=12)
|
||||
|
||||
|
||||
|
||||
if not axlabel:
|
||||
axs.set_xticklabels([])
|
||||
axs.set_yticklabels([])
|
||||
@@ -307,24 +310,27 @@ def plot_pseudoSection(DCsurvey, axs, surveyType='dipole-dipole', unitType='volt
|
||||
|
||||
return ph
|
||||
|
||||
def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
|
||||
def gen_DCIPsurvey(endl, mesh, stype, a, b, n):
|
||||
"""
|
||||
Load in endpoints and survey specifications to generate Tx, Rx location
|
||||
stations.
|
||||
Load in endpoints and survey specifications to generate Tx, Rx location
|
||||
stations.
|
||||
|
||||
Assumes flat topo for now...
|
||||
Assumes flat topo for now...
|
||||
|
||||
:param numpy.array endl: input endpoints [[x1, y1] , [x2, y2]]
|
||||
:param Mesh mesh: SimPEG mesh object
|
||||
:param string surveyType: 'dipole-dipole' | 'pole-dipole' | 'gradient'
|
||||
:param float AM_sep: transmitter (A) - receiver (M) seperation
|
||||
:param float b: receiver dipole seperation
|
||||
:param float nrx: pole seperation, number of rx dipoles per tx
|
||||
Input:
|
||||
:param endl -> input endpoints [x1, y1, z1, x2, y2, z2]
|
||||
:object mesh -> SimPEG mesh object
|
||||
:switch stype -> "dpdp" (dipole-dipole) | "pdp" (pole-dipole) | 'gradient'
|
||||
: param a, n -> pole seperation, number of rx dipoles per tx
|
||||
|
||||
:rtype: DC.Survey, Src, Rx
|
||||
:returns: DC survey, Source
|
||||
Output:
|
||||
:param Tx, Rx -> List objects for each tx location
|
||||
Lines: P1x, P1y, P1z, P2x, P2y, P2z
|
||||
|
||||
!! Require clean up to deal with DCsurvey
|
||||
Created on Wed December 9th, 2015
|
||||
|
||||
@author: dominiquef
|
||||
!! Require clean up to deal with DCsurvey
|
||||
"""
|
||||
|
||||
from SimPEG import np
|
||||
@@ -340,17 +346,17 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
|
||||
dl_x = ( endl[1,0] - endl[0,0] ) / dl_len
|
||||
dl_y = ( endl[1,1] - endl[0,1] ) / dl_len
|
||||
|
||||
nstn = np.floor( dl_len / AM_sep )
|
||||
nstn = np.floor( dl_len / a )
|
||||
|
||||
# Compute discrete pole location along line
|
||||
stn_x = endl[0,0] + np.array(range(int(nstn)))*dl_x*AM_sep
|
||||
stn_y = endl[0,1] + np.array(range(int(nstn)))*dl_y*AM_sep
|
||||
stn_x = endl[0,0] + np.array(range(int(nstn)))*dl_x*a
|
||||
stn_y = endl[0,1] + np.array(range(int(nstn)))*dl_y*a
|
||||
|
||||
# Create line of P1 locations
|
||||
M = np.c_[stn_x, stn_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
|
||||
# Create line of P2 locations
|
||||
N = np.c_[stn_x+AM_sep*dl_x, stn_y+AM_sep*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
N = np.c_[stn_x+a*dl_x, stn_y+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
|
||||
## Build list of Tx-Rx locations depending on survey type
|
||||
# Dipole-dipole: Moving tx with [a] spacing -> [AB a MN1 a MN2 ... a MNn]
|
||||
@@ -360,14 +366,14 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
|
||||
SrcList = []
|
||||
|
||||
|
||||
if surveyType != 'gradient':
|
||||
if stype != 'gradient':
|
||||
|
||||
for ii in range(0, int(nstn)-1):
|
||||
|
||||
|
||||
if surveyType == 'dipole-dipole':
|
||||
if stype == 'dpdp':
|
||||
tx = np.c_[M[ii,:],N[ii,:]]
|
||||
elif surveyType == 'pole-dipole':
|
||||
elif stype == 'pdp':
|
||||
tx = np.c_[M[ii,:],M[ii,:]]
|
||||
|
||||
# Rx.append(np.c_[M[ii+1:indx,:],N[ii+1:indx,:]])
|
||||
@@ -376,33 +382,33 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
|
||||
AB = xy_2_r(tx[0,1],endl[1,0],tx[1,1],endl[1,1])
|
||||
|
||||
# Number of receivers to fit
|
||||
nstn = np.min([np.floor( (AB - MN_sep) / AM_sep ) , nrx])
|
||||
nstn = np.min([np.floor( (AB - b) / a ) , n])
|
||||
|
||||
# Check if there is enough space, else break the loop
|
||||
if nstn <= 0:
|
||||
continue
|
||||
|
||||
# Compute discrete pole location along line
|
||||
stn_x = N[ii,0] + dl_x*MN_sep + np.array(range(int(nstn)))*dl_x*AM_sep
|
||||
stn_y = N[ii,1] + dl_y*MN_sep + np.array(range(int(nstn)))*dl_y*AM_sep
|
||||
stn_x = N[ii,0] + dl_x*b + np.array(range(int(nstn)))*dl_x*a
|
||||
stn_y = N[ii,1] + dl_y*b + np.array(range(int(nstn)))*dl_y*a
|
||||
|
||||
# Create receiver poles
|
||||
# Create line of P1 locations
|
||||
P1 = np.c_[stn_x, stn_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
|
||||
# Create line of P2 locations
|
||||
P2 = np.c_[stn_x+AM_sep*dl_x, stn_y+AM_sep*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
P2 = np.c_[stn_x+a*dl_x, stn_y+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
|
||||
Rx.append(np.c_[P1,P2])
|
||||
rxClass = DC.RxDipole(P1, P2)
|
||||
Tx.append(tx)
|
||||
if surveyType == 'dipole-dipole':
|
||||
if stype == 'dpdp':
|
||||
srcClass = DC.SrcDipole([rxClass], M[ii,:],N[ii,:])
|
||||
elif surveyType == 'pole-dipole':
|
||||
elif stype == 'pdp':
|
||||
srcClass = DC.SrcDipole([rxClass], M[ii,:],M[ii,:])
|
||||
SrcList.append(srcClass)
|
||||
|
||||
elif surveyType == 'gradient':
|
||||
elif 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
|
||||
@@ -410,23 +416,23 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
|
||||
Tx.append(np.c_[M[0,:],N[-1,:]])
|
||||
|
||||
# Get the edge limit of survey area
|
||||
min_x = endl[0,0] + dl_x * MN_sep
|
||||
min_y = endl[0,1] + dl_y * MN_sep
|
||||
min_x = endl[0,0] + dl_x * b
|
||||
min_y = endl[0,1] + dl_y * b
|
||||
|
||||
max_x = endl[1,0] - dl_x * MN_sep
|
||||
max_y = endl[1,1] - dl_y * MN_sep
|
||||
max_x = endl[1,0] - dl_x * b
|
||||
max_y = endl[1,1] - dl_y * b
|
||||
|
||||
box_l = np.sqrt( (min_x - max_x)**2 + (min_y - max_y)**2 )
|
||||
box_w = box_l/2.
|
||||
|
||||
nstn = np.floor( box_l / AM_sep )
|
||||
nstn = np.floor( box_l / a )
|
||||
|
||||
# Compute discrete pole location along line
|
||||
stn_x = min_x + np.array(range(int(nstn)))*dl_x*AM_sep
|
||||
stn_y = min_y + np.array(range(int(nstn)))*dl_y*AM_sep
|
||||
stn_x = min_x + np.array(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 / AM_sep ))
|
||||
nlin = int(np.floor( box_w / a ))
|
||||
lind = range(-nlin,nlin+1)
|
||||
|
||||
ngrad = nstn * len(lind)
|
||||
@@ -435,12 +441,12 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
|
||||
for ii in range( len(lind) ):
|
||||
|
||||
# Move line in perpendicular direction by dipole spacing
|
||||
lxx = stn_x - lind[ii]*AM_sep*dl_y
|
||||
lyy = stn_y + lind[ii]*AM_sep*dl_x
|
||||
lxx = stn_x - lind[ii]*a*dl_y
|
||||
lyy = stn_y + lind[ii]*a*dl_x
|
||||
|
||||
|
||||
M = np.c_[ lxx, lyy , np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
N = np.c_[ lxx+AM_sep*dl_x, lyy+AM_sep*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
N = np.c_[ lxx+a*dl_x, lyy+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]]
|
||||
|
||||
rx[(ii*nstn):((ii+1)*nstn),:] = np.c_[M,N]
|
||||
|
||||
@@ -449,38 +455,44 @@ def gen_DCIPsurvey(endl, mesh, surveyType, AM_sep, MN_sep, nrx):
|
||||
srcClass = DC.SrcDipole([rxClass], M[0,:], N[-1,:])
|
||||
SrcList.append(srcClass)
|
||||
else:
|
||||
print """surveyType must be either 'pole-dipole', 'dipole-dipole' or 'gradient'. """
|
||||
print """stype must be either 'pdp', 'dpdp' or 'gradient'. """
|
||||
|
||||
survey = DC.SurveyDC(SrcList)
|
||||
return survey, Tx, Rx
|
||||
|
||||
|
||||
def writeUBC_DCobs(fileName, DCsurvey, dim, surveyType, iptype = 0):
|
||||
def writeUBC_DCobs(fileName, DCsurvey, dtype='3D', stype='SURFACE', iptype = 0):
|
||||
"""
|
||||
Write UBC GIF DCIP 2D or 3D observation file
|
||||
|
||||
:param string fileName: including path where the file is written out
|
||||
:param Survey DCsurvey: DC survey class object
|
||||
:param string dim: either '2D' | '3D'
|
||||
:param string surveyType: either 'SURFACE' | 'GENERAL'
|
||||
:rtype: file
|
||||
:return: UBC2D-Data file
|
||||
"""
|
||||
Input:
|
||||
:string fileName -> including path where the file is written out
|
||||
:DCsurvey DC survey class object
|
||||
:string dtype -> either '2D' | '3D'
|
||||
:string stype -> either 'SURFACE' | 'GENERAL'
|
||||
|
||||
Output:
|
||||
:param UBC2D-Data file
|
||||
:return
|
||||
|
||||
Last edit: February 16th, 2016
|
||||
|
||||
@author: dominiquef
|
||||
|
||||
"""
|
||||
from SimPEG import mkvc
|
||||
|
||||
assert (dim=='2D') | (dim=='3D'), "Data must be either '2D' | '3D'"
|
||||
assert (surveyType=='SURFACE') | (surveyType=='GENERAL') | (surveyType=='SIMPLE'), "Data must be either 'SURFACE' | 'GENERAL' | 'SIMPLE'"
|
||||
|
||||
assert (dtype=='2D') | (dtype=='3D'), "Data must be either '2D' | '3D'"
|
||||
assert (stype=='SURFACE') | (stype=='GENERAL') | (stype=='SIMPLE'), "Data must be either 'SURFACE' | 'GENERAL' | 'SIMPLE'"
|
||||
|
||||
fid = open(fileName,'w')
|
||||
fid.write('! ' + surveyType + ' FORMAT\n')
|
||||
|
||||
|
||||
|
||||
if iptype!=0:
|
||||
fid.write('IPTYPE=%i\n'%iptype)
|
||||
|
||||
|
||||
else:
|
||||
fid.write('! ' + stype + ' FORMAT\n')
|
||||
|
||||
|
||||
count = 0
|
||||
|
||||
for ii in range(DCsurvey.nSrc):
|
||||
@@ -494,33 +506,33 @@ def writeUBC_DCobs(fileName, DCsurvey, dim, surveyType, iptype = 0):
|
||||
M = rx[0]
|
||||
N = rx[1]
|
||||
|
||||
# Adapt source-receiver location for dim and surveyType
|
||||
if dim=='2D':
|
||||
# Adapt source-receiver location for dtype and stype
|
||||
if dtype=='2D':
|
||||
|
||||
if surveyType == 'SIMPLE':
|
||||
if stype == 'SIMPLE':
|
||||
|
||||
#fid.writelines("%e " % ii for ii in mkvc(tx[0,:]))
|
||||
A = np.repeat(tx[0,0],M.shape[0],axis=0)
|
||||
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')
|
||||
|
||||
|
||||
else:
|
||||
|
||||
if surveyType == 'SURFACE':
|
||||
if stype == 'SURFACE':
|
||||
|
||||
fid.writelines("%f " % ii for ii in mkvc(tx[0,:]))
|
||||
M = M[:,0]
|
||||
N = N[:,0]
|
||||
|
||||
if surveyType == 'GENERAL':
|
||||
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]
|
||||
@@ -528,31 +540,31 @@ def writeUBC_DCobs(fileName, DCsurvey, dim, surveyType, iptype = 0):
|
||||
# Flip sign for z-elevation to depth
|
||||
M[:,1::2] = -M[:,1::2]
|
||||
N[:,1::2] = -N[:,1::2]
|
||||
|
||||
|
||||
fid.write('%i\n'% nD)
|
||||
np.savetxt(fid, np.c_[ M, N , DCsurvey.dobs[count:count+nD], DCsurvey.std[count:count+nD] ], fmt='%f',delimiter=' ',newline='\n')
|
||||
|
||||
if dim=='3D':
|
||||
if dtype=='3D':
|
||||
|
||||
if surveyType == 'SURFACE':
|
||||
if stype == 'SURFACE':
|
||||
|
||||
fid.writelines("%e " % ii for ii in mkvc(tx[0:2,:]))
|
||||
M = M[:,0:2]
|
||||
N = N[:,0:2]
|
||||
|
||||
if surveyType == 'GENERAL':
|
||||
if stype == 'GENERAL':
|
||||
|
||||
fid.writelines("%e " % ii for ii in mkvc(tx[0:3,:]))
|
||||
|
||||
fid.write('%i\n'% nD)
|
||||
np.savetxt(fid, np.c_[ M, N , DCsurvey.dobs[count:count+nD], DCsurvey.std[count:count+nD] ], fmt='%e',delimiter=' ',newline='\n')
|
||||
fid.write('\n')
|
||||
|
||||
|
||||
count += nD
|
||||
|
||||
fid.close()
|
||||
|
||||
def convertObs_DC3D_to_2D(DCsurvey, lineID, flag='local'):
|
||||
def convertObs_DC3D_to_2D(DCsurvey,lineID, flag = 'local'):
|
||||
"""
|
||||
Read DC survey and projects the coordinate system
|
||||
according to the flag = 'Xloc' | 'Yloc' | 'local' (default)
|
||||
@@ -561,9 +573,15 @@ def convertObs_DC3D_to_2D(DCsurvey, lineID, flag='local'):
|
||||
|
||||
The Z value is preserved, but Y coordinates zeroed.
|
||||
|
||||
:param DC.Survey survey3D: 3D simpeg DC survey
|
||||
:rtype: DC.Survey
|
||||
:return: survey2D
|
||||
Input:
|
||||
:param survey3D
|
||||
|
||||
Output:
|
||||
:figure survey2D
|
||||
|
||||
Edited April 6th, 2016
|
||||
|
||||
@author: dominiquef
|
||||
|
||||
"""
|
||||
from SimPEG import np
|
||||
@@ -648,34 +666,39 @@ def convertObs_DC3D_to_2D(DCsurvey, lineID, flag='local'):
|
||||
DCsurvey2D.std = np.asarray(DCsurvey.std)
|
||||
|
||||
return DCsurvey2D
|
||||
|
||||
def readUBC_DC3Dobs(fileName, rtype = 'DC'):
|
||||
|
||||
def readUBC_DC3Dobs(fileName, dtype = 'DC'):
|
||||
"""
|
||||
Read UBC GIF IP 3D observation file and generate survey
|
||||
|
||||
:param string fileName:, path to the UBC GIF 3D obs file
|
||||
:rtype: Survey
|
||||
:return: DCIPsurvey
|
||||
Input:
|
||||
:param fileName, path to the UBC GIF 3D obs file
|
||||
|
||||
Output:
|
||||
:param IPsurvey
|
||||
:return
|
||||
|
||||
@author: dominiquef
|
||||
|
||||
"""
|
||||
zflag = True # Flag for z value provided
|
||||
|
||||
|
||||
# Load file
|
||||
if rtype == 'IP':
|
||||
if dtype == 'IP':
|
||||
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='IPTYPE')
|
||||
|
||||
elif rtype == 'DC':
|
||||
|
||||
elif dtype == 'DC':
|
||||
obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!')
|
||||
|
||||
|
||||
else:
|
||||
print "rtype must be 'DC'(default) | 'IP'"
|
||||
|
||||
print "dtype must be 'DC'(default) | 'IP'"
|
||||
|
||||
# Pre-allocate
|
||||
srcLists = []
|
||||
Rx = []
|
||||
d = []
|
||||
wd = []
|
||||
|
||||
|
||||
|
||||
# Countdown for number of obs/tx
|
||||
count = 0
|
||||
@@ -694,7 +717,7 @@ def readUBC_DC3Dobs(fileName, rtype = 'DC'):
|
||||
# Check if z value is provided, if False -> nan
|
||||
if len(temp)==5:
|
||||
tx = np.r_[temp[0:2],np.nan,temp[2:4],np.nan]
|
||||
|
||||
|
||||
zflag = False # Pass on the flag to the receiver loc
|
||||
|
||||
else:
|
||||
@@ -706,12 +729,12 @@ def readUBC_DC3Dobs(fileName, rtype = 'DC'):
|
||||
temp = np.fromstring(obsfile[ii], dtype=float,sep=' ') # Get the string
|
||||
|
||||
# Filter out negative IP
|
||||
# if temp[-2] < 0:
|
||||
# if temp[-2] < 0:
|
||||
# count = count -1
|
||||
# print "Negative!"
|
||||
#
|
||||
#
|
||||
# else:
|
||||
|
||||
|
||||
# If the Z-location is provided, otherwise put nan
|
||||
if zflag:
|
||||
|
||||
@@ -749,9 +772,17 @@ def readUBC_DC2Dobs(fileName):
|
||||
------- NEEDS TO BE UPDATED ------
|
||||
Read UBC GIF 2D observation file and generate arrays for tx-rx location
|
||||
|
||||
:param string fileName: path to the UBC GIF 2D model file
|
||||
:rtype: (DC.Src, DC.Rx, ??, ??)
|
||||
:return: source_locs, rx_locs, ??, ??
|
||||
Input:
|
||||
:param fileName, path to the UBC GIF 2D model file
|
||||
|
||||
Output:
|
||||
:param rx, tx
|
||||
:return
|
||||
|
||||
Created on Thu Nov 12 13:14:10 2015
|
||||
|
||||
@author: dominiquef
|
||||
|
||||
"""
|
||||
|
||||
from SimPEG import np
|
||||
@@ -791,9 +822,11 @@ def readUBC_DC2Dpre(fileName):
|
||||
Read UBC GIF DCIP 2D observation file and generate arrays for tx-rx location
|
||||
|
||||
Input:
|
||||
:param string fileName: path to the UBC GIF 3D obs file
|
||||
:rtype: DC.Survey
|
||||
:return: DCsurvey
|
||||
:param fileName, path to the UBC GIF 3D obs file
|
||||
|
||||
Output:
|
||||
DCsurvey
|
||||
:return
|
||||
|
||||
Created on Mon March 9th, 2016 << Doug's 70th Birthday !! >>
|
||||
|
||||
@@ -855,9 +888,12 @@ def readUBC_DC2DMesh(fileName):
|
||||
"""
|
||||
Read UBC GIF 2DTensor mesh and generate 2D Tensor mesh in simpeg
|
||||
|
||||
:param string fileName: path to the UBC GIF mesh file
|
||||
:rtype: Mesh.TensorMesh
|
||||
:return: SimPEG TensorMesh 2D object
|
||||
Input:
|
||||
:param fileName, path to the UBC GIF mesh file
|
||||
|
||||
Output:
|
||||
:param SimPEG TensorMesh 2D object
|
||||
:return
|
||||
|
||||
Created on Thu Nov 12 13:14:10 2015
|
||||
|
||||
@@ -923,9 +959,12 @@ def xy_2_lineID(DCsurvey):
|
||||
they were collected. May need to generalize for random
|
||||
point locations, but will be more expensive
|
||||
|
||||
:param numpy.array DCdict: Vectors of station location
|
||||
:rtype: numpy.array
|
||||
:return: LineID Vector of integers
|
||||
Input:
|
||||
:param DCdict Vectors of station location
|
||||
|
||||
Output:
|
||||
:param LineID Vector of integers
|
||||
:return
|
||||
|
||||
Created on Thu Feb 11, 2015
|
||||
|
||||
|
||||
+64
-128
@@ -144,18 +144,12 @@ class BetaSchedule(InversionDirective):
|
||||
if self.debug: print 'BetaSchedule is cooling Beta. Iteration: %d' % self.opt.iter
|
||||
self.invProb.beta /= self.coolingFactor
|
||||
|
||||
|
||||
class TargetMisfit(InversionDirective):
|
||||
|
||||
chifact = 1.
|
||||
phi_d_star = None
|
||||
|
||||
@property
|
||||
def target(self):
|
||||
if getattr(self, '_target', None) is None:
|
||||
if self.phi_d_star is None:
|
||||
self.phi_d_star = 0.5 * self.survey.nD
|
||||
self._target = self.chifact * self.phi_d_star # the factor of 0.5 is because we do phid = 0.5*|| dpred - dobs||^2
|
||||
self._target = self.survey.nD*0.5
|
||||
return self._target
|
||||
@target.setter
|
||||
def target(self, val):
|
||||
@@ -243,6 +237,12 @@ 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 UpdateReferenceModel(Parameter):
|
||||
|
||||
# mref0 = None
|
||||
|
||||
# def nextIter(self):
|
||||
# mref = getattr(self, 'm_prev', None)
|
||||
# if mref is None:
|
||||
# if self.debug: print 'UpdateReferenceModel is using mref0'
|
||||
@@ -253,158 +253,78 @@ class SaveOutputDictEveryIteration(_SaveEveryIteration):
|
||||
class Update_IRLS(InversionDirective):
|
||||
|
||||
eps_min = None
|
||||
eps_p = None
|
||||
eps_q = None
|
||||
norms = [2.,2.,2.,2.]
|
||||
factor = None
|
||||
gamma = None
|
||||
phi_m_last = None
|
||||
phi_d_last = None
|
||||
f_old = None
|
||||
f_min_change = 1e-2
|
||||
beta_tol = 5e-2
|
||||
|
||||
# Solving parameter for IRLS (mode:2)
|
||||
IRLSiter = 0
|
||||
minGNiter = 5
|
||||
maxIRLSiter = 10
|
||||
iterStart = 0
|
||||
|
||||
# Beta schedule
|
||||
coolingFactor = 2.
|
||||
coolingRate = 1
|
||||
|
||||
mode = 1
|
||||
|
||||
@property
|
||||
def target(self):
|
||||
if getattr(self, '_target', None) is None:
|
||||
self._target = self.survey.nD*0.5
|
||||
return self._target
|
||||
@target.setter
|
||||
def target(self, val):
|
||||
self._target = val
|
||||
|
||||
def initialize(self):
|
||||
|
||||
if self.mode == 1:
|
||||
self.reg.norms = [2., 2., 2., 2.]
|
||||
# Scale the regularization for changes in norm
|
||||
if getattr(self, 'phi_m_last', None) is not None:
|
||||
|
||||
self.reg.curModel = self.invProb.curModel
|
||||
self.reg.gamma = 1.
|
||||
phim_new = self.reg.eval(self.invProb.curModel)
|
||||
self.gamma = self.phi_m_last / phim_new
|
||||
|
||||
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 if required
|
||||
if getattr(self, 'factor', None) is not None:
|
||||
eps = self.reg.eps / self.factor
|
||||
|
||||
# After reaching target misfit with l2-norm, switch to IRLS (mode:2)
|
||||
if self.invProb.phi_d < self.target and self.mode == 1:
|
||||
print "Convergence with smooth l2-norm regularization: Start IRLS steps..."
|
||||
|
||||
self.mode = 2
|
||||
print self.eps_p, self.eps_q, self.norms
|
||||
self.reg.eps_p = self.eps_p
|
||||
self.reg.eps_q = self.eps_q
|
||||
self.reg.norms = self.norms
|
||||
self.coolingFactor = 1.
|
||||
self.coolingRate = 1
|
||||
self.iterStart = self.opt.iter
|
||||
self.phi_d_last = self.invProb.phi_d
|
||||
self.phi_m_last = self.invProb.phi_m_last
|
||||
|
||||
self.reg.l2model = self.invProb.curModel
|
||||
self.reg.curModel = self.invProb.curModel
|
||||
|
||||
if getattr(self, 'f_old', None) is None:
|
||||
self.f_old = self.reg.eval(self.invProb.curModel)#self.invProb.evalFunction(self.invProb.curModel, return_g=False, return_H=False)
|
||||
|
||||
# Beta Schedule
|
||||
if self.opt.iter > 0 and self.opt.iter % self.coolingRate == 0:
|
||||
if self.debug: print 'BetaSchedule is cooling Beta. Iteration: %d' % self.opt.iter
|
||||
self.invProb.beta /= self.coolingFactor
|
||||
|
||||
|
||||
# Only update after GN iterations
|
||||
if (self.opt.iter-self.iterStart) % self.minGNiter == 0 and self.mode==2:
|
||||
|
||||
self.IRLSiter += 1
|
||||
|
||||
phim_new = self.reg.eval(self.invProb.curModel)
|
||||
self.f_change = np.abs(self.f_old - phim_new) / self.f_old
|
||||
|
||||
print "Regularization decrease: %6.3e" % (self.f_change)
|
||||
|
||||
# Check for maximum number of IRLS cycles
|
||||
if self.IRLSiter == self.maxIRLSiter:
|
||||
print "Reach maximum number of IRLS cycles: %i" % self.maxIRLSiter
|
||||
self.opt.stopNextIteration = True
|
||||
return
|
||||
|
||||
# Check if the function has changed enough
|
||||
if self.f_change < self.f_min_change and self.IRLSiter > 1:
|
||||
print "Minimum decrease in regularization. End of IRLS"
|
||||
self.opt.stopNextIteration = True
|
||||
return
|
||||
if getattr(self, 'eps_min', None) is not None:
|
||||
self.reg.eps = np.max([self.eps_min,eps])
|
||||
else:
|
||||
self.f_old = phim_new
|
||||
self.reg.eps = eps
|
||||
|
||||
# Cool the threshold parameter if required
|
||||
if getattr(self, 'factor', None) is not None:
|
||||
eps = self.reg.eps / self.factor
|
||||
# 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
|
||||
|
||||
if getattr(self, 'eps_min', None) is not None:
|
||||
self.reg.eps = np.max([self.eps_min,eps])
|
||||
else:
|
||||
self.reg.eps = eps
|
||||
# Temporarely set gamma to 1. to get raw phi_m
|
||||
self.reg.gamma = 1.
|
||||
|
||||
# Get phi_m at the end of current iteration
|
||||
self.phi_m_last = self.invProb.phi_m_last
|
||||
|
||||
# Reset the regularization matrices so that it is
|
||||
# recalculated for current model
|
||||
self.reg._Wsmall = None
|
||||
self.reg._Wx = None
|
||||
self.reg._Wy = None
|
||||
self.reg._Wz = None
|
||||
|
||||
# Update the model used for the IRLS weights
|
||||
self.reg.curModel = self.invProb.curModel
|
||||
|
||||
# Temporarely set gamma to 1. to get raw phi_m
|
||||
self.reg.gamma = 1.
|
||||
|
||||
# Compute new model objective function value
|
||||
phim_new = self.reg.eval(self.invProb.curModel)
|
||||
|
||||
# Update gamma to scale the regularization between IRLS iterations
|
||||
self.reg.gamma = self.phi_m_last / phim_new
|
||||
|
||||
# Reset the regularization matrices again for new gamma
|
||||
self.reg._Wsmall = None
|
||||
self.reg._Wx = None
|
||||
self.reg._Wy = None
|
||||
self.reg._Wz = None
|
||||
|
||||
# Check if misfit is within the tolerance, otherwise scale beta
|
||||
val = self.invProb.phi_d / (self.survey.nD*0.5)
|
||||
|
||||
if np.abs(1.-val) > self.beta_tol:
|
||||
self.invProb.beta = self.invProb.beta * self.survey.nD*0.5 / self.invProb.phi_d
|
||||
# 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
|
||||
|
||||
# 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.
|
||||
@@ -437,3 +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
|
||||
|
||||
@@ -1,118 +0,0 @@
|
||||
import numpy as np
|
||||
from scipy.constants import mu_0, pi
|
||||
from scipy import special
|
||||
|
||||
def DCAnalyticHalf(txloc, rxlocs, sigma, earth_type="wholespace"):
|
||||
"""
|
||||
Analytic solution for electric potential from a postive pole
|
||||
|
||||
:param array txloc: a xyz location of A (+) electrode (np.r_[xa, ya, za])
|
||||
:param list rxlocs: xyz locations of M (+) and N (-) electrodes [M, N]
|
||||
|
||||
e.g.
|
||||
rxlocs = [M, N]
|
||||
M: xyz locations of M (+) electrode (np.c_[xmlocs, ymlocs, zmlocs])
|
||||
N: xyz locations of N (-) electrode (np.c_[xnlocs, ynlocs, znlocs])
|
||||
|
||||
:param float or complex sigma: values of conductivity
|
||||
:param string earth_type: values of conductivity ("wholsespace" or "halfspace")
|
||||
|
||||
"""
|
||||
M = rxlocs[0]
|
||||
N = rxlocs[1]
|
||||
|
||||
rM = np.sqrt( (M[:,0]-txloc[0])**2 + (M[:,1]-txloc[1])**2 + (M[:,2]-txloc[1])**2 )
|
||||
rN = np.sqrt( (N[:,0]-txloc[0])**2 + (N[:,1]-txloc[1])**2 + (N[:,2]-txloc[1])**2 )
|
||||
|
||||
phiM = 1./(4*np.pi*rM*sigma)
|
||||
phiN = 1./(4*np.pi*rN*sigma)
|
||||
phi = phiM - phiN
|
||||
|
||||
if earth_type == "halfspace":
|
||||
phi *= 2
|
||||
|
||||
return phi
|
||||
|
||||
deg2rad = lambda deg: deg/180.*np.pi
|
||||
rad2deg = lambda rad: rad*180./np.pi
|
||||
|
||||
def DCAnalyticSphere(txloc, rxloc, xc, radius, sigma, sigma1, \
|
||||
field_type = "secondary", order=12, halfspace=False):
|
||||
# def DCSpherePointCurrent(txloc, rxloc, xc, radius, rho, rho1, \
|
||||
# field_type = "secondary", order=12):
|
||||
"""
|
||||
|
||||
Parameters:
|
||||
|
||||
:param array txloc: A (+) current electrode location (x,y,z)
|
||||
:param array xc: x center of depressed sphere
|
||||
:param array rxloc: M(+) electrode locations / (Nx3 array, # of electrodes)
|
||||
|
||||
:param float radius: radius (float): radius of the sphere (m)
|
||||
:param float rho: resistivity of the background (ohm-m)
|
||||
:param float rho1: resistivity of the sphere
|
||||
:param string field_type: : "secondary", "total", "primary"
|
||||
(default="secondary")
|
||||
"secondary": secondary potential only due to sphere
|
||||
"primary": primary potential from the point source
|
||||
"total": "secondary"+"primary"
|
||||
:param float order: maximum order of Legendre polynomial (default=12)
|
||||
|
||||
Written by Seogi Kang (skang@eos.ubc.ca)
|
||||
Ph.D. Candidate of University of British Columbia, Canada
|
||||
|
||||
"""
|
||||
|
||||
Pleg = []
|
||||
# Compute Legendre Polynomial
|
||||
for i in range(order):
|
||||
Pleg.append(special.legendre(i, monic=0))
|
||||
|
||||
|
||||
rho = 1./sigma
|
||||
rho1 = 1./sigma1
|
||||
|
||||
# Center of the sphere should be aligned in txloc in y-direction
|
||||
yc = txloc[1]
|
||||
xyz = np.c_[rxloc[:,0]-xc, rxloc[:,1]-yc, rxloc[:,2]]
|
||||
r = np.sqrt( (xyz**2).sum(axis=1) )
|
||||
|
||||
x0 = abs(txloc[0]-xc)
|
||||
|
||||
costheta = xyz[:,0]/r * (txloc[0]-xc)/x0
|
||||
phi = np.zeros_like(r)
|
||||
R = (r**2+x0**2.-2.*r*x0*costheta)**0.5
|
||||
# primary potential in a whole space
|
||||
prim = rho*1./(4*np.pi*R)
|
||||
|
||||
if field_type =="primary":
|
||||
return prim
|
||||
|
||||
sphind = r < radius
|
||||
out = np.zeros_like(r)
|
||||
for n in range(order):
|
||||
An, Bn = AnBnfun(n, radius, x0, rho, rho1)
|
||||
dumout = An*r[~sphind]**(-n-1.)*Pleg[n](costheta[~sphind])
|
||||
out[~sphind] += dumout
|
||||
dumin = Bn*r[sphind]**(n)*Pleg[n](costheta[sphind])
|
||||
out[sphind] += dumin
|
||||
|
||||
out[~sphind] += prim[~sphind]
|
||||
|
||||
if halfspace:
|
||||
scale = 2
|
||||
else:
|
||||
scale = 1
|
||||
|
||||
if field_type == "secondary":
|
||||
return scale*(out-prim)
|
||||
elif field_type == "total":
|
||||
return scale*out
|
||||
|
||||
def AnBnfun(n, radius, x0, rho, rho1, I=1.):
|
||||
const = I*rho/(4*np.pi)
|
||||
bunmo = n*rho + (n+1)*rho1
|
||||
An = const * radius**(2*n+1) / x0 ** (n+1.) * n * \
|
||||
(rho1-rho) / bunmo
|
||||
Bn = const * 1. / x0 ** (n+1.) * (2*n+1) * (rho1) / bunmo
|
||||
return An, Bn
|
||||
@@ -1,4 +1,3 @@
|
||||
from TDEM import hzAnalyticDipoleT
|
||||
from FDEM import hzAnalyticDipoleF
|
||||
from FDEMcasing import *
|
||||
from DC import DCAnalyticHalf, DCAnalyticSphere
|
||||
|
||||
+11
-33
@@ -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)
|
||||
@@ -62,15 +61,6 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
self._Me = self.mesh.getEdgeInnerProduct()
|
||||
return self._Me
|
||||
|
||||
@property
|
||||
def MeI(self):
|
||||
"""
|
||||
Edge inner product matrix
|
||||
"""
|
||||
if getattr(self, '_MeI', None) is None:
|
||||
self._MeI = self.mesh.getEdgeInnerProduct(invMat=True)
|
||||
return self._MeI
|
||||
|
||||
@property
|
||||
def Mf(self):
|
||||
"""
|
||||
@@ -80,20 +70,6 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
self._Mf = self.mesh.getFaceInnerProduct()
|
||||
return self._Mf
|
||||
|
||||
@property
|
||||
def MfI(self):
|
||||
"""
|
||||
Face inner product matrix
|
||||
"""
|
||||
if getattr(self, '_MfI', None) is None:
|
||||
self._MfI = self.mesh.getFaceInnerProduct(invMat=True)
|
||||
return self._MfI
|
||||
|
||||
@property
|
||||
def Vol(self):
|
||||
if getattr(self, '_Vol', None) is None:
|
||||
self._Vol = Utils.sdiag(self.mesh.vol)
|
||||
return self._Vol
|
||||
|
||||
# ----- Magnetic Permeability ----- #
|
||||
@property
|
||||
@@ -151,6 +127,7 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
"""
|
||||
return self.mesh.getEdgeInnerProductDeriv(self.curModel.sigma)(u) * self.curModel.sigmaDeriv
|
||||
|
||||
|
||||
@property
|
||||
def MeSigmaI(self):
|
||||
"""
|
||||
@@ -169,7 +146,10 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
|
||||
dMeSigmaI_dI = -self.MeSigmaI**2
|
||||
dMe_dsig = self.mesh.getEdgeInnerProductDeriv(self.curModel.sigma)(u)
|
||||
return dMeSigmaI_dI * ( dMe_dsig * self.curModel.sigmaDeriv )
|
||||
dsig_dm = self.curModel.sigmaDeriv
|
||||
return dMeSigmaI_dI * ( dMe_dsig * ( dsig_dm))
|
||||
# return self.mesh.getEdgeInnerProductDeriv(self.curModel.sigma, invMat=True)(u)
|
||||
|
||||
|
||||
@property
|
||||
def MfRho(self):
|
||||
@@ -185,7 +165,8 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
"""
|
||||
Derivative of :code:`MfRho` with respect to the model.
|
||||
"""
|
||||
return self.mesh.getFaceInnerProductDeriv(self.curModel.rho)(u) * self.curModel.rhoDeriv
|
||||
return self.mesh.getFaceInnerProductDeriv(self.curModel.rho)(u) * (-Utils.sdiag(self.curModel.rho**2) * self.curModel.sigmaDeriv)
|
||||
# self.curModel.rhoDeriv
|
||||
|
||||
@property
|
||||
def MfRhoI(self):
|
||||
@@ -202,10 +183,7 @@ class BaseEMProblem(Problem.BaseProblem):
|
||||
"""
|
||||
Derivative of :code:`MfRhoI` with respect to the model.
|
||||
"""
|
||||
|
||||
dMfRhoI_dI = -self.MfRhoI**2
|
||||
dMf_drho = self.mesh.getFaceInnerProductDeriv(self.curModel.rho)(u)
|
||||
return dMfRhoI_dI * ( dMf_drho * self.curModel.rhoDeriv )
|
||||
return self.mesh.getFaceInnerProductDeriv(self.curModel.rho, invMat=True)(u) * self.curModel.rhoDeriv
|
||||
|
||||
class BaseEMSurvey(Survey.BaseSurvey):
|
||||
|
||||
@@ -214,7 +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
|
||||
@@ -224,8 +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.')
|
||||
|
||||
@@ -1,7 +1,7 @@
|
||||
from SimPEG import Problem, Utils, np, sp, Solver as SimpegSolver
|
||||
from scipy.constants import mu_0
|
||||
from SurveyFDEM import Survey as SurveyFDEM
|
||||
from FieldsFDEM import Fields, Fields3D_e, Fields3D_b, Fields3D_h, Fields3D_j
|
||||
from FieldsFDEM import Fields, Fields_e, Fields_b, Fields_h, Fields_j
|
||||
from SimPEG.EM.Base import BaseEMProblem
|
||||
from SimPEG.EM.Utils import omega
|
||||
|
||||
@@ -17,8 +17,8 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
\mathbf{C} \mathbf{e} + i \omega \mathbf{b} = \mathbf{s_m} \\\\
|
||||
{\mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} - \mathbf{M_{\sigma}^e} \mathbf{e} = \mathbf{s_e}}
|
||||
|
||||
if using the E-B formulation (:code:`Problem3D_e`
|
||||
or :code:`Problem3D_b`). Note that in this case, :math:`\mathbf{s_e}` is an integrated quantity.
|
||||
if using the E-B formulation (:code:`Problem_e`
|
||||
or :code:`Problem_b`). Note that in this case, :math:`\mathbf{s_e}` is an integrated quantity.
|
||||
|
||||
If we write Maxwell's equations in terms of
|
||||
\\\(\\\mathbf{h}\\\) and current density \\\(\\\mathbf{j}\\\)
|
||||
@@ -28,7 +28,7 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{j} + i \omega \mathbf{M_{\mu}^e} \mathbf{h} = \mathbf{s_m} \\\\
|
||||
\mathbf{C} \mathbf{h} - \mathbf{j} = \mathbf{s_e}
|
||||
|
||||
if using the H-J formulation (:code:`Problem3D_j` or :code:`Problem3D_h`). Note that here, :math:`\mathbf{s_m}` is an integrated quantity.
|
||||
if using the H-J formulation (:code:`Problem_j` or :code:`Problem_h`). Note that here, :math:`\mathbf{s_m}` is an integrated quantity.
|
||||
|
||||
The problem performs the elimination so that we are solving the system for \\\(\\\mathbf{e},\\\mathbf{b},\\\mathbf{j} \\\) or \\\(\\\mathbf{h}\\\)
|
||||
"""
|
||||
@@ -87,7 +87,7 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
du_dm_v = Ainv * ( - dA_dm_v + dRHS_dm_v )
|
||||
|
||||
for rx in src.rxList:
|
||||
df_dmFun = getattr(f, '_{0}Deriv'.format(rx.projField), None)
|
||||
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_dm_v = df_dmFun(src, du_dm_v, v, adjoint=False)
|
||||
Jv[src, rx] = rx.evalDeriv(src, self.mesh, f, df_dm_v)
|
||||
Ainv.clean()
|
||||
@@ -125,7 +125,7 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
for rx in src.rxList:
|
||||
PTv = rx.evalDeriv(src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m
|
||||
|
||||
df_duTFun = getattr(f, '_{0}Deriv'.format(rx.projField), None)
|
||||
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_duT, df_dmT = df_duTFun(src, None, PTv, adjoint=True)
|
||||
|
||||
ATinvdf_duT = ATinv * df_duT
|
||||
@@ -137,9 +137,10 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
df_dmT = df_dmT + du_dmT
|
||||
|
||||
# TODO: this should be taken care of by the reciever?
|
||||
if rx.component is 'real':
|
||||
real_or_imag = rx.projComp
|
||||
if real_or_imag is 'real':
|
||||
Jtv += np.array(df_dmT, dtype=complex).real
|
||||
elif rx.component is 'imag':
|
||||
elif real_or_imag is 'imag':
|
||||
Jtv += - np.array(df_dmT, dtype=complex).real
|
||||
else:
|
||||
raise Exception('Must be real or imag')
|
||||
@@ -166,7 +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
|
||||
|
||||
@@ -177,7 +177,7 @@ class BaseFDEMProblem(BaseEMProblem):
|
||||
################################ E-B Formulation #########################################
|
||||
##########################################################################################
|
||||
|
||||
class Problem3D_e(BaseFDEMProblem):
|
||||
class Problem_e(BaseFDEMProblem):
|
||||
"""
|
||||
By eliminating the magnetic flux density using
|
||||
|
||||
@@ -199,7 +199,7 @@ class Problem3D_e(BaseFDEMProblem):
|
||||
|
||||
_solutionType = 'eSolution'
|
||||
_formulation = 'EB'
|
||||
fieldsPair = Fields3D_e
|
||||
fieldsPair = Fields_e
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseFDEMProblem.__init__(self, mesh, **kwargs)
|
||||
@@ -288,7 +288,7 @@ class Problem3D_e(BaseFDEMProblem):
|
||||
return C.T * (MfMui * s_mDeriv(v)) -1j * omega(freq) * s_eDeriv(v)
|
||||
|
||||
|
||||
class Problem3D_b(BaseFDEMProblem):
|
||||
class Problem_b(BaseFDEMProblem):
|
||||
"""
|
||||
We eliminate :math:`\mathbf{e}` using
|
||||
|
||||
@@ -310,7 +310,7 @@ class Problem3D_b(BaseFDEMProblem):
|
||||
|
||||
_solutionType = 'bSolution'
|
||||
_formulation = 'EB'
|
||||
fieldsPair = Fields3D_b
|
||||
fieldsPair = Fields_b
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseFDEMProblem.__init__(self, mesh, **kwargs)
|
||||
@@ -436,7 +436,7 @@ class Problem3D_b(BaseFDEMProblem):
|
||||
##########################################################################################
|
||||
|
||||
|
||||
class Problem3D_j(BaseFDEMProblem):
|
||||
class Problem_j(BaseFDEMProblem):
|
||||
"""
|
||||
We eliminate \\\(\\\mathbf{h}\\\) using
|
||||
|
||||
@@ -458,7 +458,7 @@ class Problem3D_j(BaseFDEMProblem):
|
||||
|
||||
_solutionType = 'jSolution'
|
||||
_formulation = 'HJ'
|
||||
fieldsPair = Fields3D_j
|
||||
fieldsPair = Fields_j
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseFDEMProblem.__init__(self, mesh, **kwargs)
|
||||
@@ -577,7 +577,7 @@ class Problem3D_j(BaseFDEMProblem):
|
||||
|
||||
|
||||
|
||||
class Problem3D_h(BaseFDEMProblem):
|
||||
class Problem_h(BaseFDEMProblem):
|
||||
"""
|
||||
We eliminate \\\(\\\mathbf{j}\\\) using
|
||||
|
||||
@@ -596,7 +596,7 @@ class Problem3D_h(BaseFDEMProblem):
|
||||
|
||||
_solutionType = 'hSolution'
|
||||
_formulation = 'HJ'
|
||||
fieldsPair = Fields3D_h
|
||||
fieldsPair = Fields_h
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseFDEMProblem.__init__(self, mesh, **kwargs)
|
||||
@@ -60,20 +60,6 @@ class Fields(SimPEG.Problem.Fields):
|
||||
|
||||
return self._bPrimary(solution, srcList) + self._bSecondary(solution, srcList)
|
||||
|
||||
def _bSecondary(self, solution, srcList):
|
||||
"""
|
||||
Total magnetic flux density is sum of primary and secondary
|
||||
|
||||
:param numpy.ndarray solution: field we solved for
|
||||
:param list srcList: list of sources
|
||||
:rtype: numpy.ndarray
|
||||
:return: total magnetic flux density
|
||||
"""
|
||||
if getattr(self, '_bSecondary', None) is None:
|
||||
raise NotImplementedError ('Getting b from %s is not implemented' %self.knownFields.keys()[0])
|
||||
|
||||
return self._bSecondary(solution, srcList)
|
||||
|
||||
def _h(self, solution, srcList):
|
||||
"""
|
||||
Total magnetic field is sum of primary and secondary
|
||||
@@ -138,21 +124,6 @@ class Fields(SimPEG.Problem.Fields):
|
||||
return self._bDeriv_u(src, v, adjoint), self._bDeriv_m(src, v, adjoint)
|
||||
return np.array(self._bDeriv_u(src, du_dm_v, adjoint) + self._bDeriv_m(src, v, adjoint), dtype = complex)
|
||||
|
||||
def _bSecondaryDeriv(self, src, du_dm_v, v, adjoint = False):
|
||||
"""
|
||||
Total derivative of b with respect to the inversion model. Returns :math:`d\mathbf{b}/d\mathbf{m}` for forward and (:math:`d\mathbf{b}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
|
||||
|
||||
:param Src src: sorce
|
||||
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
|
||||
:param numpy.ndarray v: vector to take sensitivity product with
|
||||
:param bool adjoint: adjoint?
|
||||
:rtype: numpy.ndarray
|
||||
:return: derivative times a vector (or tuple for adjoint)
|
||||
"""
|
||||
# TODO: modify when primary field is dependent on m
|
||||
|
||||
return self._bDeriv(src, du_dm_v, v, adjoint = adjoint)
|
||||
|
||||
def _hDeriv(self, src, du_dm_v, v, adjoint = False):
|
||||
"""
|
||||
Total derivative of h with respect to the inversion model. Returns :math:`d\mathbf{h}/d\mathbf{m}` for forward and (:math:`d\mathbf{h}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
|
||||
@@ -189,9 +160,9 @@ class Fields(SimPEG.Problem.Fields):
|
||||
return self._jDeriv_u(src, v, adjoint), self._jDeriv_m(src, v, adjoint)
|
||||
return np.array(self._jDeriv_u(src, du_dm_v, adjoint) + self._jDeriv_m(src, v, adjoint), dtype = complex)
|
||||
|
||||
class Fields3D_e(Fields):
|
||||
class Fields_e(Fields):
|
||||
"""
|
||||
Fields object for Problem3D_e.
|
||||
Fields object for Problem_e.
|
||||
|
||||
:param Mesh mesh: mesh
|
||||
:param Survey survey: survey
|
||||
@@ -210,7 +181,7 @@ class Fields3D_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
|
||||
@@ -455,9 +426,9 @@ class Fields3D_e(Fields):
|
||||
|
||||
|
||||
|
||||
class Fields3D_b(Fields):
|
||||
class Fields_b(Fields):
|
||||
"""
|
||||
Fields object for Problem3D_b.
|
||||
Fields object for Problem_b.
|
||||
|
||||
:param Mesh mesh: mesh
|
||||
:param Survey survey: survey
|
||||
@@ -500,8 +471,6 @@ class Fields3D_b(Fields):
|
||||
return 'E'
|
||||
elif fieldType == 'b':
|
||||
return 'F'
|
||||
elif fieldType == 'bSecondary':
|
||||
return 'F'
|
||||
elif (fieldType == 'h') or (fieldType == 'j'):
|
||||
return'CCV'
|
||||
else:
|
||||
@@ -724,9 +693,9 @@ class Fields3D_b(Fields):
|
||||
return Zero()
|
||||
|
||||
|
||||
class Fields3D_j(Fields):
|
||||
class Fields_j(Fields):
|
||||
"""
|
||||
Fields object for Problem3D_j.
|
||||
Fields object for Problem_j.
|
||||
|
||||
:param Mesh mesh: mesh
|
||||
:param Survey survey: survey
|
||||
@@ -1019,9 +988,9 @@ class Fields3D_j(Fields):
|
||||
return 1./(1j * omega(src.freq)) * VI * (self._aveE2CCV * ( s_mDeriv(v) - self._edgeCurl.T * ( self._MfRhoDeriv(jSolution) * v ) ) )
|
||||
|
||||
|
||||
class Fields3D_h(Fields):
|
||||
class Fields_h(Fields):
|
||||
"""
|
||||
Fields object for Problem3D_h.
|
||||
Fields object for Problem_h.
|
||||
|
||||
:param Mesh mesh: mesh
|
||||
:param Survey survey: survey
|
||||
|
||||
@@ -1,139 +0,0 @@
|
||||
import SimPEG
|
||||
from SimPEG import sp
|
||||
|
||||
class BaseRx(SimPEG.Survey.BaseRx):
|
||||
"""
|
||||
Frequency domain receiver base class
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string orientation: receiver orientation 'x', 'y' or 'z'
|
||||
:param string component: real or imaginary component 'real' or 'imag'
|
||||
"""
|
||||
|
||||
def __init__(self, locs, orientation=None, component=None):
|
||||
assert(orientation in ['x','y','z']), "Orientation %s not known. Orientation must be in 'x', 'y', 'z'. Arbitrary orientations have not yet been implemented."%orientation
|
||||
assert(component in ['real', 'imag']), "'component' must be 'real' or 'imag', not %s"%component
|
||||
|
||||
self.projComp = orientation
|
||||
self.component = component
|
||||
|
||||
SimPEG.Survey.BaseRx.__init__(self, locs, rxType=None) #TODO: remove rxType from baseRx
|
||||
|
||||
def projGLoc(self, u):
|
||||
"""Grid Location projection (e.g. Ex Fy ...)"""
|
||||
return u._GLoc(self.projField) + self.projComp
|
||||
|
||||
def eval(self, src, mesh, f):
|
||||
"""
|
||||
Project fields to recievers to get data.
|
||||
|
||||
:param Source src: FDEM source
|
||||
:param Mesh mesh: mesh used
|
||||
:param Fields f: fields object
|
||||
:rtype: numpy.ndarray
|
||||
:return: fields projected to recievers
|
||||
"""
|
||||
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
f_part_complex = f[src, self.projField]
|
||||
f_part = getattr(f_part_complex, self.component) # get the real or imag component
|
||||
|
||||
return P*f_part
|
||||
|
||||
def evalDeriv(self, src, mesh, f, v, adjoint=False):
|
||||
"""
|
||||
Derivative of projected fields with respect to the inversion model times a vector.
|
||||
|
||||
:param Source src: FDEM source
|
||||
:param Mesh mesh: mesh used
|
||||
:param Fields f: fields object
|
||||
:param numpy.ndarray v: vector to multiply
|
||||
:rtype: numpy.ndarray
|
||||
:return: fields projected to recievers
|
||||
"""
|
||||
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
|
||||
if not adjoint:
|
||||
Pv_complex = P * v
|
||||
Pv = getattr(Pv_complex, self.component)
|
||||
elif adjoint:
|
||||
Pv_real = P.T * v
|
||||
|
||||
if self.component == 'imag':
|
||||
Pv = 1j*Pv_real
|
||||
elif self.component == 'real':
|
||||
Pv = Pv_real.astype(complex)
|
||||
else:
|
||||
raise NotImplementedError('must be real or imag')
|
||||
|
||||
return Pv
|
||||
|
||||
|
||||
class Point_e(BaseRx):
|
||||
"""
|
||||
Electric field FDEM receiver
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string orientation: receiver orientation 'x', 'y' or 'z'
|
||||
:param string component: real or imaginary component 'real' or 'imag'
|
||||
"""
|
||||
|
||||
def __init__(self, locs, orientation=None, component=None):
|
||||
self.projField = 'e'
|
||||
super(Point_e, self).__init__(locs, orientation, component)
|
||||
|
||||
|
||||
class Point_b(BaseRx):
|
||||
"""
|
||||
Magnetic flux FDEM receiver
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string orientation: receiver orientation 'x', 'y' or 'z'
|
||||
:param string component: real or imaginary component 'real' or 'imag'
|
||||
"""
|
||||
|
||||
def __init__(self, locs, orientation=None, component=None):
|
||||
self.projField = 'b'
|
||||
super(Point_b, self).__init__(locs, orientation, component)
|
||||
|
||||
class Point_bSecondary(BaseRx):
|
||||
"""
|
||||
Magnetic flux FDEM receiver
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string orientation: receiver orientation 'x', 'y' or 'z'
|
||||
:param string component: real or imaginary component 'real' or 'imag'
|
||||
"""
|
||||
|
||||
def __init__(self, locs, orientation=None, component=None):
|
||||
self.projField = 'bSecondary'
|
||||
super(Point_bSecondary, self).__init__(locs, orientation, component)
|
||||
|
||||
|
||||
class Point_h(BaseRx):
|
||||
"""
|
||||
Magnetic field FDEM receiver
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string orientation: receiver orientation 'x', 'y' or 'z'
|
||||
:param string component: real or imaginary component 'real' or 'imag'
|
||||
"""
|
||||
|
||||
def __init__(self, locs, orientation=None, component=None):
|
||||
self.projField = 'h'
|
||||
super(Point_h, self).__init__(locs, orientation, component)
|
||||
|
||||
|
||||
class Point_j(BaseRx):
|
||||
"""
|
||||
Current density FDEM receiver
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string orientation: receiver orientation 'x', 'y' or 'z'
|
||||
:param string component: real or imaginary component 'real' or 'imag'
|
||||
"""
|
||||
|
||||
def __init__(self, locs, orientation=None, component=None):
|
||||
self.projField = 'j'
|
||||
super(Point_j, self).__init__(locs, orientation, component)
|
||||
+23
-32
@@ -9,17 +9,12 @@ class BaseSrc(Survey.BaseSrc):
|
||||
"""
|
||||
|
||||
freq = None
|
||||
integrate = False
|
||||
_ePrimary = None
|
||||
_bPrimary = None
|
||||
_hPrimary = None
|
||||
_jPrimary = None
|
||||
|
||||
def __init__(self, rxList, **kwargs):
|
||||
Survey.BaseSrc.__init__(self, rxList, **kwargs)
|
||||
# rxPair = RxFDEM
|
||||
integrate = True
|
||||
|
||||
def eval(self, prob):
|
||||
"""
|
||||
Evaluate the source terms.
|
||||
- :math:`s_m` : magnetic source term
|
||||
- :math:`s_e` : electric source term
|
||||
|
||||
@@ -56,9 +51,7 @@ class BaseSrc(Survey.BaseSrc):
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic flux density
|
||||
"""
|
||||
if self._bPrimary is None:
|
||||
return Zero()
|
||||
return self._bPrimary
|
||||
return Zero()
|
||||
|
||||
def hPrimary(self, prob):
|
||||
"""
|
||||
@@ -68,9 +61,7 @@ class BaseSrc(Survey.BaseSrc):
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary magnetic field
|
||||
"""
|
||||
if self._hPrimary is None:
|
||||
return Zero()
|
||||
return self._hPrimary
|
||||
return Zero()
|
||||
|
||||
def ePrimary(self, prob):
|
||||
"""
|
||||
@@ -80,9 +71,7 @@ class BaseSrc(Survey.BaseSrc):
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary electric field
|
||||
"""
|
||||
if self._ePrimary is None:
|
||||
return Zero()
|
||||
return self._ePrimary
|
||||
return Zero()
|
||||
|
||||
def jPrimary(self, prob):
|
||||
"""
|
||||
@@ -92,9 +81,7 @@ class BaseSrc(Survey.BaseSrc):
|
||||
:rtype: numpy.ndarray
|
||||
:return: primary current density
|
||||
"""
|
||||
if self._jPrimary is None:
|
||||
return Zero()
|
||||
return self._jPrimary
|
||||
return Zero()
|
||||
|
||||
def s_m(self, prob):
|
||||
"""
|
||||
@@ -149,14 +136,15 @@ class RawVec_e(BaseSrc):
|
||||
:param list rxList: receiver list
|
||||
:param float freq: frequency
|
||||
:param numpy.array s_e: electric source term
|
||||
:param bool integrate: Integrate the source term (multiply by Me) [False]
|
||||
:param bool integrate: Integrate the source term (multiply by Me) [True]
|
||||
"""
|
||||
|
||||
def __init__(self, rxList, freq, s_e, **kwargs):
|
||||
def __init__(self, rxList, freq, s_e, integrate=True): #, ePrimary=None, bPrimary=None, hPrimary=None, jPrimary=None):
|
||||
self._s_e = np.array(s_e, dtype=complex)
|
||||
self.freq = float(freq)
|
||||
self.integrate = integrate
|
||||
|
||||
BaseSrc.__init__(self, rxList, **kwargs)
|
||||
BaseSrc.__init__(self, rxList)
|
||||
|
||||
def s_e(self, prob):
|
||||
"""
|
||||
@@ -178,14 +166,15 @@ class RawVec_m(BaseSrc):
|
||||
:param float freq: frequency
|
||||
:param rxList: receiver list
|
||||
:param numpy.array s_m: magnetic source term
|
||||
:param bool integrate: Integrate the source term (multiply by Me) [False]
|
||||
:param bool integrate: Integrate the source term (multiply by Me) [True]
|
||||
"""
|
||||
|
||||
def __init__(self, rxList, freq, s_m, **kwargs): #ePrimary=Zero(), bPrimary=Zero(), hPrimary=Zero(), jPrimary=Zero()):
|
||||
def __init__(self, rxList, freq, s_m, integrate=True): #ePrimary=Zero(), bPrimary=Zero(), hPrimary=Zero(), jPrimary=Zero()):
|
||||
self._s_m = np.array(s_m, dtype=complex)
|
||||
self.freq = float(freq)
|
||||
self.integrate = integrate
|
||||
|
||||
BaseSrc.__init__(self, rxList, **kwargs)
|
||||
BaseSrc.__init__(self, rxList)
|
||||
|
||||
def s_m(self, prob):
|
||||
"""
|
||||
@@ -208,13 +197,14 @@ class RawVec(BaseSrc):
|
||||
:param float freq: frequency
|
||||
:param numpy.array s_m: magnetic source term
|
||||
:param numpy.array s_e: electric source term
|
||||
:param bool integrate: Integrate the source term (multiply by Me) [False]
|
||||
:param bool integrate: Integrate the source term (multiply by Me) [True]
|
||||
"""
|
||||
def __init__(self, rxList, freq, s_m, s_e, **kwargs):
|
||||
def __init__(self, rxList, freq, s_m, s_e, integrate=True):
|
||||
self._s_m = np.array(s_m, dtype=complex)
|
||||
self._s_e = np.array(s_e, dtype=complex)
|
||||
self.freq = float(freq)
|
||||
BaseSrc.__init__(self, rxList, **kwargs)
|
||||
self.integrate = integrate
|
||||
BaseSrc.__init__(self, rxList)
|
||||
|
||||
def s_m(self, prob):
|
||||
"""
|
||||
@@ -288,13 +278,14 @@ class MagDipole(BaseSrc):
|
||||
:param float mu: background magnetic permeability
|
||||
"""
|
||||
|
||||
def __init__(self, rxList, freq, loc, orientation='Z', moment=1., mu=mu_0, **kwargs):
|
||||
def __init__(self, rxList, freq, loc, orientation='Z', moment=1., mu=mu_0):
|
||||
self.freq = float(freq)
|
||||
self.loc = loc
|
||||
self.orientation = orientation
|
||||
assert orientation in ['X','Y','Z'], "Orientation (right now) doesn't actually do anything! The methods in SrcUtils should take care of this..."
|
||||
self.moment = moment
|
||||
self.mu = mu
|
||||
self.integrate = False
|
||||
BaseSrc.__init__(self, rxList)
|
||||
|
||||
def bPrimary(self, prob):
|
||||
@@ -552,10 +543,10 @@ class CircularLoop(BaseSrc):
|
||||
if not prob.mesh.isSymmetric:
|
||||
# TODO ?
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
a = MagneticLoopVectorPotential(self.loc, gridY, 'y', moment=self.radius, mu=self.mu)
|
||||
a = MagneticDipoleVectorPotential(self.loc, gridY, 'y', moment=self.radius, mu=self.mu)
|
||||
|
||||
else:
|
||||
srcfct = MagneticLoopVectorPotential
|
||||
srcfct = MagneticDipoleVectorPotential
|
||||
ax = srcfct(self.loc, gridX, 'x', self.radius, mu=self.mu)
|
||||
ay = srcfct(self.loc, gridY, 'y', self.radius, mu=self.mu)
|
||||
az = srcfct(self.loc, gridZ, 'z', self.radius, mu=self.mu)
|
||||
|
||||
@@ -4,9 +4,126 @@ from SimPEG.EM.Base import BaseEMSurvey
|
||||
from scipy.constants import mu_0
|
||||
from SimPEG.Utils import Zero, Identity
|
||||
import SrcFDEM as Src
|
||||
import RxFDEM as Rx
|
||||
from SimPEG import sp
|
||||
|
||||
|
||||
####################################################
|
||||
# Receivers
|
||||
####################################################
|
||||
|
||||
class Rx(SimPEG.Survey.BaseRx):
|
||||
"""
|
||||
Frequency domain receivers
|
||||
|
||||
:param numpy.ndarray locs: receiver locations (ie. :code:`np.r_[x,y,z]`)
|
||||
:param string rxType: reciever type from knownRxTypes
|
||||
"""
|
||||
|
||||
knownRxTypes = {
|
||||
'exr':['e', 'x', 'real'],
|
||||
'eyr':['e', 'y', 'real'],
|
||||
'ezr':['e', 'z', 'real'],
|
||||
'exi':['e', 'x', 'imag'],
|
||||
'eyi':['e', 'y', 'imag'],
|
||||
'ezi':['e', 'z', 'imag'],
|
||||
|
||||
'bxr':['b', 'x', 'real'],
|
||||
'byr':['b', 'y', 'real'],
|
||||
'bzr':['b', 'z', 'real'],
|
||||
'bxi':['b', 'x', 'imag'],
|
||||
'byi':['b', 'y', 'imag'],
|
||||
'bzi':['b', 'z', 'imag'],
|
||||
|
||||
'jxr':['j', 'x', 'real'],
|
||||
'jyr':['j', 'y', 'real'],
|
||||
'jzr':['j', 'z', 'real'],
|
||||
'jxi':['j', 'x', 'imag'],
|
||||
'jyi':['j', 'y', 'imag'],
|
||||
'jzi':['j', 'z', 'imag'],
|
||||
|
||||
'hxr':['h', 'x', 'real'],
|
||||
'hyr':['h', 'y', 'real'],
|
||||
'hzr':['h', 'z', 'real'],
|
||||
'hxi':['h', 'x', 'imag'],
|
||||
'hyi':['h', 'y', 'imag'],
|
||||
'hzi':['h', 'z', 'imag'],
|
||||
}
|
||||
radius = None
|
||||
|
||||
def __init__(self, locs, rxType):
|
||||
SimPEG.Survey.BaseRx.__init__(self, locs, rxType)
|
||||
|
||||
@property
|
||||
def projField(self):
|
||||
"""Field Type projection (e.g. e b ...)"""
|
||||
return self.knownRxTypes[self.rxType][0]
|
||||
|
||||
@property
|
||||
def projComp(self):
|
||||
"""Component projection (real/imag)"""
|
||||
return self.knownRxTypes[self.rxType][2]
|
||||
|
||||
def projGLoc(self, u):
|
||||
"""Grid Location projection (e.g. Ex Fy ...)"""
|
||||
return u._GLoc(self.rxType[0]) + self.knownRxTypes[self.rxType][1]
|
||||
|
||||
def eval(self, src, mesh, f):
|
||||
"""
|
||||
Project fields to recievers to get data.
|
||||
|
||||
:param Source src: FDEM source
|
||||
:param Mesh mesh: mesh used
|
||||
:param Fields f: fields object
|
||||
:rtype: numpy.ndarray
|
||||
:return: fields projected to recievers
|
||||
"""
|
||||
# projGLoc = u._GLoc(self.knownRxTypes[self.rxType][0])
|
||||
# projGLoc += self.knownRxTypes[self.rxType][1]
|
||||
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
f_part_complex = f[src, self.projField]
|
||||
# get the real or imag component
|
||||
real_or_imag = self.projComp
|
||||
f_part = getattr(f_part_complex, real_or_imag)
|
||||
|
||||
return P*f_part
|
||||
|
||||
def evalDeriv(self, src, mesh, f, v, adjoint=False):
|
||||
"""
|
||||
Derivative of projected fields with respect to the inversion model times a vector.
|
||||
|
||||
:param Source src: FDEM source
|
||||
:param Mesh mesh: mesh used
|
||||
:param Fields f: fields object
|
||||
:param numpy.ndarray v: vector to multiply
|
||||
:rtype: numpy.ndarray
|
||||
:return: fields projected to recievers
|
||||
"""
|
||||
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
|
||||
if not adjoint:
|
||||
Pv_complex = P * v
|
||||
real_or_imag = self.projComp
|
||||
Pv = getattr(Pv_complex, real_or_imag)
|
||||
elif adjoint:
|
||||
Pv_real = P.T * v
|
||||
|
||||
real_or_imag = self.projComp
|
||||
if real_or_imag == 'imag':
|
||||
Pv = 1j*Pv_real
|
||||
elif real_or_imag == 'real':
|
||||
Pv = Pv_real.astype(complex)
|
||||
else:
|
||||
raise NotImplementedError('must be real or imag')
|
||||
|
||||
return Pv
|
||||
|
||||
|
||||
####################################################
|
||||
# Survey
|
||||
####################################################
|
||||
|
||||
class Survey(BaseEMSurvey):
|
||||
"""
|
||||
Frequency domain electromagnetic survey
|
||||
@@ -15,7 +132,7 @@ class Survey(BaseEMSurvey):
|
||||
"""
|
||||
|
||||
srcPair = Src.BaseSrc
|
||||
rxPair = Rx.BaseRx
|
||||
rxPair = Rx
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
# Sort these by frequency
|
||||
|
||||
@@ -1,5 +1,3 @@
|
||||
from SurveyFDEM import Survey
|
||||
import SrcFDEM as Src
|
||||
import RxFDEM as Rx
|
||||
from ProblemFDEM import Problem3D_e, Problem3D_b, Problem3D_j, Problem3D_h
|
||||
from FieldsFDEM import Fields3D_e, Fields3D_b, Fields3D_j, Fields3D_h
|
||||
from SurveyFDEM import Rx, Src, Survey
|
||||
from FDEM import BaseFDEMProblem, Problem_e, Problem_b, Problem_j, Problem_h
|
||||
from FieldsFDEM import *
|
||||
@@ -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
|
||||
@@ -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))
|
||||
@@ -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
|
||||
@@ -1,296 +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 G
|
||||
|
||||
"""
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
MfRhoI = self.MfRhoI
|
||||
A = D * MfRhoI * G
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return V.T * A
|
||||
return A
|
||||
|
||||
def getADeriv(self, u, v, adjoint= False):
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
MfRhoIDeriv = self.MfRhoIDeriv
|
||||
|
||||
if adjoint:
|
||||
return(MfRhoIDeriv( G * u ).T) * ( D.T * v)
|
||||
|
||||
return D * (MfRhoIDeriv( G * u ) * v)
|
||||
|
||||
def getRHS(self):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm()
|
||||
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
def setBC(self):
|
||||
if self.mesh.dim==3:
|
||||
fxm,fxp,fym,fyp,fzm,fzp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
gBFzm = self.mesh.gridFz[fzm,:]
|
||||
gBFzp = self.mesh.gridFz[fzp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
temp_zm, temp_zp = np.ones_like(gBFzm[:,2]), np.ones_like(gBFzp[:,2])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
alpha_zm, alpha_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
beta_zm, beta_zp = temp_zm, temp_zp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
gamma_zm, gamma_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp, alpha_zm, alpha_zp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp, beta_zm, beta_zp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp, gamma_zm, gamma_zp]
|
||||
|
||||
elif self.mesh.dim==2:
|
||||
|
||||
fxm,fxp,fym,fyp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp]
|
||||
|
||||
x_BC, y_BC = getxBCyBC_CC(self.mesh, alpha, beta, gamma)
|
||||
V = self.Vol
|
||||
self.Div = V * self.mesh.faceDiv
|
||||
P_BC, B = self.mesh.getBCProjWF_simple()
|
||||
M = B*self.mesh.aveCC2F
|
||||
self.Grad = self.Div.T - P_BC*Utils.sdiag(y_BC)*M
|
||||
|
||||
|
||||
class Problem3D_N(BaseDCProblem):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'EB' # N potentials means B is on faces
|
||||
fieldsPair = Fields_N
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseDCProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
def getA(self):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = G.T MeSigma G
|
||||
|
||||
"""
|
||||
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
A = Grad.T * MeSigma * Grad
|
||||
|
||||
# Handling Null space of A
|
||||
A[0,0] = A[0,0] + 1.
|
||||
|
||||
return A
|
||||
|
||||
def getADeriv(self, u, v, adjoint=False):
|
||||
"""
|
||||
|
||||
Product of the derivative of our system matrix with respect to the model and a vector
|
||||
|
||||
"""
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
if not adjoint:
|
||||
return Grad.T*(self.MeSigmaDeriv(Grad*u)*v)
|
||||
elif adjoint:
|
||||
return self.MeSigmaDeriv(Grad*u).T * (Grad*v)
|
||||
|
||||
|
||||
def getRHS(self):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm()
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
|
||||
|
||||
|
||||
@@ -1,349 +0,0 @@
|
||||
from SimPEG import Problem, Utils
|
||||
from SimPEG.EM.Base import BaseEMProblem
|
||||
from SurveyDC import Survey, Survey_ky
|
||||
from FieldsDC_2D import Fields_ky, Fields_ky_CC, Fields_ky_N
|
||||
from SimPEG.Utils import sdiag
|
||||
import numpy as np
|
||||
from SimPEG.Utils import Zero
|
||||
from BoundaryUtils import getxBCyBC_CC
|
||||
|
||||
class BaseDCProblem_2D(BaseEMProblem):
|
||||
|
||||
surveyPair = Survey_ky
|
||||
fieldsPair = Fields_ky
|
||||
nky = 15
|
||||
kys = np.logspace(-4, 1, nky)
|
||||
Ainv = [None for i in range(nky)]
|
||||
nT = nky # Only for using TimeFields
|
||||
|
||||
def fields(self, m):
|
||||
self.curModel = m
|
||||
|
||||
if not self.Ainv[0] == None:
|
||||
for i in range(self.nky):
|
||||
self.Ainv[i].clean()
|
||||
|
||||
f = self.fieldsPair(self.mesh, self.survey)
|
||||
Srcs = self.survey.srcList
|
||||
for iky in range(self.nky):
|
||||
ky = self.kys[iky]
|
||||
A = self.getA(ky)
|
||||
self.Ainv[iky] = self.Solver(A, **self.solverOpts)
|
||||
RHS = self.getRHS(ky)
|
||||
u = self.Ainv[iky] * RHS
|
||||
f[Srcs, self._solutionType, iky] = u
|
||||
return f
|
||||
|
||||
def Jvec(self, m, v, f=None):
|
||||
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
self.curModel = m
|
||||
|
||||
Jv = self.dataPair(self.survey) #same size as the data
|
||||
Jv0 = self.dataPair(self.survey)
|
||||
|
||||
# Assume y=0.
|
||||
# This needs some thoughts to implement in general when src is dipole
|
||||
dky = np.diff(self.kys)
|
||||
dky = np.r_[dky[0], dky]
|
||||
y = 0.
|
||||
|
||||
#TODO: this loop is pretty slow .. (Parellize)
|
||||
for iky in range(self.nky):
|
||||
ky = self.kys[iky]
|
||||
A = self.getA(ky)
|
||||
for src in self.survey.srcList:
|
||||
u_src = f[src, self._solutionType, iky] # solution vector
|
||||
dA_dm_v = self.getADeriv(ky, u_src, v)
|
||||
dRHS_dm_v = self.getRHSDeriv(ky, src, v)
|
||||
du_dm_v = self.Ainv[iky] * ( - dA_dm_v + dRHS_dm_v )
|
||||
for rx in src.rxList:
|
||||
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_dm_v = df_dmFun(iky, src, du_dm_v, v, adjoint=False)
|
||||
# Trapezoidal intergration
|
||||
Jv1_temp = 1./np.pi*rx.evalDeriv(ky, src, self.mesh, f, df_dm_v)
|
||||
if iky==0:
|
||||
#First assigment
|
||||
Jv[src, rx] = Jv1_temp*dky[iky]*np.cos(ky*y)
|
||||
else:
|
||||
Jv[src, rx] += Jv1_temp*dky[iky] /2.*np.cos(ky*y)
|
||||
Jv[src, rx] += Jv0[src, rx]*dky[iky]/2.*np.cos(ky*y)
|
||||
Jv0[src, rx] = Jv1_temp.copy()
|
||||
return Utils.mkvc(Jv)
|
||||
|
||||
def Jtvec(self, m, v, f=None):
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
self.curModel = m
|
||||
|
||||
# Ensure v is a data object.
|
||||
if not isinstance(v, self.dataPair):
|
||||
v = self.dataPair(self.survey, v)
|
||||
|
||||
Jtv = np.zeros(m.size, dtype=float)
|
||||
|
||||
# Assume y=0.
|
||||
# This needs some thoughts to implement in general when src is dipole
|
||||
dky = np.diff(self.kys)
|
||||
dky = np.r_[dky[0], dky]
|
||||
y = 0.
|
||||
|
||||
for src in self.survey.srcList:
|
||||
for rx in src.rxList:
|
||||
Jtv_temp1 = np.zeros(m.size, dtype=float)
|
||||
Jtv_temp0 = np.zeros(m.size, dtype=float)
|
||||
#TODO: this loop is pretty slow .. (Parellize)
|
||||
for iky in range(self.nky):
|
||||
u_src = f[src, self._solutionType, iky]
|
||||
ky = self.kys[iky]
|
||||
AT = self.getA(ky)
|
||||
PTv = rx.evalDeriv(ky, src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m
|
||||
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_duT, df_dmT = df_duTFun(iky, src, None, PTv, adjoint=True)
|
||||
|
||||
ATinvdf_duT = self.Ainv[iky] * df_duT
|
||||
|
||||
dA_dmT = self.getADeriv(ky, u_src, ATinvdf_duT, adjoint=True)
|
||||
dRHS_dmT = self.getRHSDeriv(ky, src, ATinvdf_duT, adjoint=True)
|
||||
du_dmT = -dA_dmT + dRHS_dmT
|
||||
Jtv_temp1 = 1./np.pi*(df_dmT + du_dmT).astype(float)
|
||||
# Trapezoidal intergration
|
||||
if iky==0:
|
||||
#First assigment
|
||||
Jtv += Jtv_temp1*dky[iky]*np.cos(ky*y)
|
||||
else:
|
||||
Jtv += Jtv_temp1*dky[iky]/2.*np.cos(ky*y)
|
||||
Jtv += Jtv_temp0*dky[iky]/2.*np.cos(ky*y)
|
||||
Jtv_temp0 = Jtv_temp1.copy()
|
||||
return Utils.mkvc(Jtv)
|
||||
|
||||
def getSourceTerm(self, ky):
|
||||
"""
|
||||
takes concept of source and turns it into a matrix
|
||||
"""
|
||||
"""
|
||||
Evaluates the sources, and puts them in matrix form
|
||||
|
||||
:rtype: (numpy.ndarray, numpy.ndarray)
|
||||
:return: q (nC or nN, nSrc)
|
||||
"""
|
||||
|
||||
Srcs = self.survey.srcList
|
||||
|
||||
if self._formulation is 'EB':
|
||||
n = self.mesh.nN
|
||||
# return NotImplementedError
|
||||
|
||||
elif self._formulation is 'HJ':
|
||||
n = self.mesh.nC
|
||||
|
||||
q = np.zeros((n, len(Srcs)))
|
||||
|
||||
for i, src in enumerate(Srcs):
|
||||
q[:,i] = src.eval(self)
|
||||
return q
|
||||
|
||||
class Problem2D_CC(BaseDCProblem_2D):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'HJ' # CC potentials means J is on faces
|
||||
fieldsPair = Fields_ky_CC
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseDCProblem_2D.__init__(self, mesh, **kwargs)
|
||||
self.setBC()
|
||||
|
||||
def getA(self, ky):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = D MfRhoI G
|
||||
|
||||
"""
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
vol = self.mesh.vol
|
||||
MfRhoI = self.MfRhoI
|
||||
# Get resistivity rho
|
||||
rho = self.curModel.rho
|
||||
A = D * MfRhoI * G + Utils.sdiag(ky**2*vol/rho)
|
||||
return A
|
||||
|
||||
def getADeriv(self, ky, u, v, adjoint= False):
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
vol = self.mesh.vol
|
||||
MfRhoIDeriv = self.MfRhoIDeriv
|
||||
rho = self.curModel.rho
|
||||
if adjoint:
|
||||
return(MfRhoIDeriv( G * u ).T) * ( D.T * v) + ky**2*Utils.sdiag(u.flatten()*vol*(-1./rho**2))*v
|
||||
return D * ((MfRhoIDeriv( G * u )) * v) + ky**2*Utils.sdiag(u.flatten()*vol*(-1./rho**2))*v
|
||||
|
||||
def getRHS(self, ky):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm(ky)
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, ky, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, ky, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
def setBC(self):
|
||||
if self.mesh.dim==3:
|
||||
fxm,fxp,fym,fyp,fzm,fzp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
gBFzm = self.mesh.gridFz[fzm,:]
|
||||
gBFzp = self.mesh.gridFz[fzp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
temp_zm, temp_zp = np.ones_like(gBFzm[:,2]), np.ones_like(gBFzp[:,2])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
alpha_zm, alpha_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
beta_zm, beta_zp = temp_zm, temp_zp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
gamma_zm, gamma_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp, alpha_zm, alpha_zp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp, beta_zm, beta_zp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp, gamma_zm, gamma_zp]
|
||||
|
||||
elif self.mesh.dim==2:
|
||||
|
||||
fxm,fxp,fym,fyp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp]
|
||||
|
||||
x_BC, y_BC = getxBCyBC_CC(self.mesh, alpha, beta, gamma)
|
||||
V = self.Vol
|
||||
self.Div = V * self.mesh.faceDiv
|
||||
P_BC, B = self.mesh.getBCProjWF_simple()
|
||||
M = B*self.mesh.aveCC2F
|
||||
self.Grad = self.Div.T - P_BC*Utils.sdiag(y_BC)*M
|
||||
|
||||
class Problem2D_N(BaseDCProblem_2D):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'EB' # CC potentials means J is on faces
|
||||
fieldsPair = Fields_ky_N
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseDCProblem_2D.__init__(self, mesh, **kwargs)
|
||||
# self.setBC()
|
||||
|
||||
@property
|
||||
def MnSigma(self):
|
||||
"""
|
||||
Node inner product matrix for \\(\\sigma\\). Used in the E-B formulation
|
||||
"""
|
||||
# TODO: only works isotropic sigma
|
||||
sigma = self.curModel.sigma
|
||||
vol = self.mesh.vol
|
||||
MnSigma = Utils.sdiag(self.mesh.aveN2CC.T*(Utils.sdiag(vol)*sigma))
|
||||
|
||||
return MnSigma
|
||||
|
||||
def MnSigmaDeriv(self, u):
|
||||
"""
|
||||
Derivative of MnSigma with respect to the model
|
||||
"""
|
||||
sigma = self.curModel.sigma
|
||||
sigmaderiv = self.curModel.sigmaDeriv
|
||||
vol = self.mesh.vol
|
||||
return Utils.sdiag(u)*self.mesh.aveN2CC.T*Utils.sdiag(vol) * self.curModel.sigmaDeriv
|
||||
|
||||
def getA(self, ky):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = D MfRhoI G
|
||||
|
||||
"""
|
||||
|
||||
MeSigma = self.MeSigma
|
||||
MnSigma = self.MnSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
# Get conductivity sigma
|
||||
sigma = self.curModel.sigma
|
||||
A = Grad.T * MeSigma * Grad + ky**2*MnSigma
|
||||
|
||||
# Handling Null space of A
|
||||
A[0,0] = A[0,0] + 1.
|
||||
return A
|
||||
|
||||
def getADeriv(self, ky, u, v, adjoint= False):
|
||||
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
sigma = self.curModel.sigma
|
||||
vol = self.mesh.vol
|
||||
|
||||
if adjoint:
|
||||
return self.MeSigmaDeriv(Grad*u).T * (Grad*v) + ky**2*self.MnSigmaDeriv(u).T*v
|
||||
return Grad.T*(self.MeSigmaDeriv(Grad*u)*v) + ky**2*self.MnSigmaDeriv(u)*v
|
||||
|
||||
def getRHS(self, ky):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm(ky)
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, ky, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, ky, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
@@ -1,129 +0,0 @@
|
||||
import SimPEG
|
||||
import numpy as np
|
||||
from SimPEG.Utils import Zero, closestPoints
|
||||
|
||||
class BaseRx(SimPEG.Survey.BaseRx):
|
||||
locs = None
|
||||
rxType = None
|
||||
|
||||
knownRxTypes = {
|
||||
'phi':['phi',None],
|
||||
'ex':['e','x'],
|
||||
'ey':['e','y'],
|
||||
'ez':['e','z'],
|
||||
'jx':['j','x'],
|
||||
'jy':['j','y'],
|
||||
'jz':['j','z'],
|
||||
}
|
||||
|
||||
def __init__(self, locs, rxType, **kwargs):
|
||||
SimPEG.Survey.BaseRx.__init__(self, locs, rxType, **kwargs)
|
||||
|
||||
|
||||
@property
|
||||
def projField(self):
|
||||
"""Field Type projection (e.g. e b ...)"""
|
||||
return self.knownRxTypes[self.rxType][0]
|
||||
|
||||
def projGLoc(self, f):
|
||||
"""Grid Location projection (e.g. Ex Fy ...)"""
|
||||
comp = self.knownRxTypes[self.rxType][1]
|
||||
if comp is not None:
|
||||
return f._GLoc(self.rxType) + comp
|
||||
return f._GLoc(self.rxType)
|
||||
|
||||
def eval(self, src, mesh, f):
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
return P*f[src, self.projField]
|
||||
|
||||
def evalDeriv(self, src, mesh, f, v, adjoint=False):
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
if not adjoint:
|
||||
return P*v
|
||||
elif adjoint:
|
||||
return P.T*v
|
||||
|
||||
# DC.Rx.Dipole(locs)
|
||||
class Dipole(BaseRx):
|
||||
|
||||
def __init__(self, locsM, locsN, rxType = 'phi', **kwargs):
|
||||
assert locsM.shape == locsN.shape, 'locsM and locsN need to be the same size'
|
||||
locs = [locsM, locsN]
|
||||
# We may not need this ...
|
||||
BaseRx.__init__(self, locs, rxType)
|
||||
|
||||
@property
|
||||
def nD(self):
|
||||
"""Number of data in the receiver."""
|
||||
return self.locs[0].shape[0]
|
||||
|
||||
# Not sure why ...
|
||||
# return int(self.locs[0].size / 2)
|
||||
|
||||
|
||||
def getP(self, mesh, Gloc):
|
||||
if mesh in self._Ps:
|
||||
return self._Ps[mesh]
|
||||
|
||||
P0 = mesh.getInterpolationMat(self.locs[0], Gloc)
|
||||
P1 = mesh.getInterpolationMat(self.locs[1], Gloc)
|
||||
P = P0 - P1
|
||||
|
||||
if self.storeProjections:
|
||||
self._Ps[mesh] = P
|
||||
|
||||
return P
|
||||
|
||||
|
||||
class Dipole_ky(BaseRx):
|
||||
|
||||
def __init__(self, locsM, locsN, rxType = 'phi', **kwargs):
|
||||
assert locsM.shape == locsN.shape, 'locsM and locsN need to be the same size'
|
||||
locs = [locsM, locsN]
|
||||
# We may not need this ...
|
||||
BaseRx.__init__(self, locs, rxType)
|
||||
|
||||
@property
|
||||
def nD(self):
|
||||
"""Number of data in the receiver."""
|
||||
return self.locs[0].shape[0]
|
||||
|
||||
# Not sure why ...
|
||||
# return int(self.locs[0].size / 2)
|
||||
|
||||
def getP(self, mesh, Gloc):
|
||||
if mesh in self._Ps:
|
||||
return self._Ps[mesh]
|
||||
|
||||
P0 = mesh.getInterpolationMat(self.locs[0], Gloc)
|
||||
P1 = mesh.getInterpolationMat(self.locs[1], Gloc)
|
||||
P = P0 - P1
|
||||
if self.storeProjections:
|
||||
self._Ps[mesh] = P
|
||||
return P
|
||||
|
||||
def eval(self, kys, src, mesh, f):
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
Pf = P*f[src, self.projField,:]
|
||||
return self.IntTrapezoidal(kys, Pf, y=0.)
|
||||
|
||||
def evalDeriv(self, ky, src, mesh, f, v, adjoint=False):
|
||||
P = self.getP(mesh, self.projGLoc(f))
|
||||
if not adjoint:
|
||||
return P*v
|
||||
elif adjoint:
|
||||
return P.T*v
|
||||
|
||||
def IntTrapezoidal(self, kys, Pf, y=0.):
|
||||
phi = np.zeros(Pf.shape[0])
|
||||
nky = kys.size
|
||||
dky = np.diff(kys)
|
||||
dky = np.r_[dky[0], dky]
|
||||
phi0 = 1./np.pi*Pf[:,0]
|
||||
for iky in range(nky):
|
||||
phi1 = 1./np.pi*Pf[:,iky]
|
||||
phi += phi1*dky[iky]/2.*np.cos(kys[iky]*y)
|
||||
phi += phi0*dky[iky]/2.*np.cos(kys[iky]*y)
|
||||
phi0 = phi1.copy()
|
||||
return phi
|
||||
|
||||
@@ -1,86 +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
|
||||
@@ -1,38 +0,0 @@
|
||||
import SimPEG
|
||||
from SimPEG.EM.Base import BaseEMSurvey
|
||||
from SimPEG import sp, Survey
|
||||
from SimPEG.Utils import Zero, Identity
|
||||
from RxDC import BaseRx
|
||||
from SrcDC import BaseSrc
|
||||
|
||||
class Survey(BaseEMSurvey):
|
||||
rxPair = BaseRx
|
||||
srcPair = BaseSrc
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
self.srcList = srcList
|
||||
BaseEMSurvey.__init__(self, srcList, **kwargs)
|
||||
|
||||
class Survey_ky(BaseEMSurvey):
|
||||
rxPair = BaseRx
|
||||
srcPair = BaseSrc
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
self.srcList = srcList
|
||||
BaseEMSurvey.__init__(self, srcList, **kwargs)
|
||||
|
||||
def eval(self, f):
|
||||
"""
|
||||
Project fields to receiver locations
|
||||
:param Fields u: fields object
|
||||
:rtype: numpy.ndarray
|
||||
:return: data
|
||||
"""
|
||||
data = SimPEG.Survey.Data(self)
|
||||
kys = self.prob.kys
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
data[src, rx] = rx.eval(kys, src, self.mesh, f)
|
||||
return data
|
||||
|
||||
|
||||
@@ -1,38 +0,0 @@
|
||||
import numpy as np
|
||||
|
||||
def WennerSrcList(nElecs, aSpacing, in2D=False, plotIt=False):
|
||||
|
||||
import SimPEG.EM.Static.DC as DC
|
||||
|
||||
elocs = np.arange(0,aSpacing*nElecs,aSpacing)
|
||||
elocs -= (nElecs*aSpacing - aSpacing)/2
|
||||
space = 1
|
||||
WENNER = np.zeros((0,),dtype=int)
|
||||
for ii in range(nElecs):
|
||||
for jj in range(nElecs):
|
||||
test = np.r_[jj,jj+space,jj+space*2,jj+space*3]
|
||||
if np.any(test >= nElecs):
|
||||
break
|
||||
WENNER = np.r_[WENNER, test]
|
||||
space += 1
|
||||
WENNER = WENNER.reshape((-1,4))
|
||||
|
||||
|
||||
if plotIt:
|
||||
for i, s in enumerate('rbkg'):
|
||||
plt.plot(elocs[WENNER[:,i]],s+'.')
|
||||
plt.show()
|
||||
|
||||
# Create sources and receivers
|
||||
i = 0
|
||||
if in2D:
|
||||
getLoc = lambda ii, abmn: np.r_[elocs[WENNER[ii,abmn]],0]
|
||||
else:
|
||||
getLoc = lambda ii, abmn: np.r_[elocs[WENNER[ii,abmn]],0, 0]
|
||||
srcList = []
|
||||
for i in range(WENNER.shape[0]):
|
||||
rx = DC.Rx.Dipole(getLoc(i,1).reshape([1,-1]),getLoc(i,2).reshape([1,-1]))
|
||||
src = DC.Src.Dipole([rx], getLoc(i,0),getLoc(i,3))
|
||||
srcList += [src]
|
||||
|
||||
return srcList
|
||||
@@ -1,8 +0,0 @@
|
||||
from ProblemDC import Problem3D_CC, Problem3D_N
|
||||
from ProblemDC_2D import Problem2D_CC, Problem2D_N
|
||||
from SurveyDC import Survey, Survey_ky
|
||||
import SrcDC as Src #Pole
|
||||
import RxDC as Rx
|
||||
from FieldsDC import Fields_CC
|
||||
from BoundaryUtils import getxBCyBC_CC
|
||||
import Utils
|
||||
@@ -1,372 +0,0 @@
|
||||
from SimPEG import Problem, Utils, Maps, Mesh
|
||||
from SimPEG.EM.Base import BaseEMProblem
|
||||
from SimPEG.EM.Static.DC.FieldsDC import Fields, Fields_CC, Fields_N
|
||||
from SimPEG.Utils import sdiag
|
||||
import numpy as np
|
||||
from SimPEG.Utils import Zero
|
||||
from SimPEG.EM.Static.DC import getxBCyBC_CC
|
||||
from SurveyIP import Survey
|
||||
|
||||
class IPPropMap(Maps.PropMap):
|
||||
"""
|
||||
Property Map for IP Problems. The electrical chargeability,
|
||||
(\\(\\eta\\)) is the default inversion property
|
||||
"""
|
||||
eta = Maps.Property("Electrical Chargeability", defaultInvProp = True)
|
||||
|
||||
class BaseIPProblem(BaseEMProblem):
|
||||
|
||||
surveyPair = Survey
|
||||
fieldsPair = Fields
|
||||
PropMap = IPPropMap
|
||||
Ainv = None
|
||||
sigma = None
|
||||
rho = None
|
||||
f = None
|
||||
Ainv = None
|
||||
|
||||
def fields(self, m):
|
||||
self.curModel = m
|
||||
if self.f is None:
|
||||
self.f = self.fieldsPair(self.mesh, self.survey)
|
||||
if self.Ainv == None:
|
||||
A = self.getA()
|
||||
self.Ainv = self.Solver(A, **self.solverOpts)
|
||||
RHS = self.getRHS()
|
||||
u = self.Ainv * RHS
|
||||
Srcs = self.survey.srcList
|
||||
self.f[Srcs, self._solutionType] = u
|
||||
return self.f
|
||||
|
||||
def Jvec(self, m, v, f=None):
|
||||
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
self.curModel = m
|
||||
|
||||
Jv = self.dataPair(self.survey) #same size as the data
|
||||
|
||||
A = self.getA()
|
||||
|
||||
for src in self.survey.srcList:
|
||||
u_src = f[src, self._solutionType] # solution vector
|
||||
dA_dm_v = self.getADeriv(u_src, v)
|
||||
dRHS_dm_v = self.getRHSDeriv(src, v)
|
||||
du_dm_v = self.Ainv * ( - dA_dm_v + dRHS_dm_v )
|
||||
|
||||
for rx in src.rxList:
|
||||
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_dm_v = df_dmFun(src, du_dm_v, v, adjoint=False)
|
||||
Jv[src, rx] = rx.evalDeriv(src, self.mesh, f, df_dm_v)
|
||||
# Conductivity (d u / d log sigma)
|
||||
if self._formulation is 'EB':
|
||||
return -Utils.mkvc(Jv)
|
||||
# Conductivity (d u / d log rho)
|
||||
if self._formulation is 'HJ':
|
||||
return Utils.mkvc(Jv)
|
||||
|
||||
def Jtvec(self, m, v, f=None):
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
self.curModel = m
|
||||
|
||||
# Ensure v is a data object.
|
||||
if not isinstance(v, self.dataPair):
|
||||
v = self.dataPair(self.survey, v)
|
||||
|
||||
Jtv = np.zeros(m.size)
|
||||
AT = self.getA()
|
||||
|
||||
for src in self.survey.srcList:
|
||||
u_src = f[src, self._solutionType]
|
||||
for rx in src.rxList:
|
||||
PTv = rx.evalDeriv(src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m
|
||||
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
df_duT, df_dmT = df_duTFun(src, None, PTv, adjoint=True)
|
||||
ATinvdf_duT = self.Ainv * df_duT
|
||||
dA_dmT = self.getADeriv(u_src, ATinvdf_duT, adjoint=True)
|
||||
dRHS_dmT = self.getRHSDeriv(src, ATinvdf_duT, adjoint=True)
|
||||
du_dmT = -dA_dmT + dRHS_dmT
|
||||
Jtv += (df_dmT + du_dmT).astype(float)
|
||||
# Conductivity ((d u / d log sigma).T)
|
||||
if self._formulation is 'EB':
|
||||
return -Utils.mkvc(Jtv)
|
||||
# Conductivity ((d u / d log rho).T)
|
||||
if self._formulation is 'HJ':
|
||||
return Utils.mkvc(Jtv)
|
||||
|
||||
def getSourceTerm(self):
|
||||
"""
|
||||
takes concept of source and turns it into a matrix
|
||||
"""
|
||||
"""
|
||||
Evaluates the sources, and puts them in matrix form
|
||||
|
||||
:rtype: (numpy.ndarray, numpy.ndarray)
|
||||
:return: q (nC or nN, nSrc)
|
||||
"""
|
||||
|
||||
Srcs = self.survey.srcList
|
||||
|
||||
if self._formulation is 'EB':
|
||||
n = self.mesh.nN
|
||||
# return NotImplementedError
|
||||
|
||||
elif self._formulation is 'HJ':
|
||||
n = self.mesh.nC
|
||||
|
||||
q = np.zeros((n, len(Srcs)))
|
||||
|
||||
for i, src in enumerate(Srcs):
|
||||
q[:,i] = src.eval(self)
|
||||
return q
|
||||
|
||||
@property
|
||||
def deleteTheseOnModelUpdate(self):
|
||||
toDelete = []
|
||||
return toDelete
|
||||
|
||||
# assume log rho or log cond
|
||||
@property
|
||||
def MeSigma(self):
|
||||
"""
|
||||
Edge inner product matrix for \\(\\sigma\\). Used in the E-B formulation
|
||||
"""
|
||||
if getattr(self, '_MeSigma', None) is None:
|
||||
self._MeSigma = self.mesh.getEdgeInnerProduct(self.sigma)
|
||||
return self._MeSigma
|
||||
|
||||
@property
|
||||
def MfRhoI(self):
|
||||
"""
|
||||
Inverse of :code:`MfRho`
|
||||
"""
|
||||
if getattr(self, '_MfRhoI', None) is None:
|
||||
self._MfRhoI = self.mesh.getFaceInnerProduct(self.rho, invMat=True)
|
||||
return self._MfRhoI
|
||||
|
||||
def MfRhoIDeriv(self,u):
|
||||
"""
|
||||
Derivative of :code:`MfRhoI` with respect to the model.
|
||||
"""
|
||||
|
||||
dMfRhoI_dI = -self.MfRhoI**2
|
||||
dMf_drho = self.mesh.getFaceInnerProductDeriv(self.rho)(u)
|
||||
drho_dlogrho = Utils.sdiag(self.rho)*self.curModel.etaDeriv
|
||||
return dMfRhoI_dI * ( dMf_drho * ( drho_dlogrho))
|
||||
|
||||
# TODO: This should take a vector
|
||||
def MeSigmaDeriv(self, u):
|
||||
"""
|
||||
Derivative of MeSigma with respect to the model
|
||||
"""
|
||||
dsigma_dlogsigma = Utils.sdiag(self.sigma)*self.curModel.etaDeriv
|
||||
return self.mesh.getEdgeInnerProductDeriv(self.sigma)(u) * dsigma_dlogsigma
|
||||
|
||||
class Problem3D_CC(BaseIPProblem):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'HJ' # CC potentials means J is on faces
|
||||
fieldsPair = Fields_CC
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseIPProblem.__init__(self, mesh, **kwargs)
|
||||
self.setBC()
|
||||
|
||||
def getA(self):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = D MfRhoI G
|
||||
|
||||
"""
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
MfRhoI = self.MfRhoI
|
||||
A = D * MfRhoI * G
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return V.T * A
|
||||
return A
|
||||
|
||||
def getADeriv(self, u, v, adjoint= False):
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
MfRhoIDeriv = self.MfRhoIDeriv
|
||||
|
||||
if adjoint:
|
||||
# if self._makeASymmetric is True:
|
||||
# v = V * v
|
||||
return(MfRhoIDeriv( G * u ).T) * ( D.T * v)
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return V.T * ( D * ( MfRhoIDeriv( D.T * ( V * u ) ) * v ) )
|
||||
return D * (MfRhoIDeriv( G * u ) * v)
|
||||
|
||||
def getRHS(self):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm()
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return self.Vol.T * RHS
|
||||
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
def setBC(self):
|
||||
if self.mesh.dim==3:
|
||||
fxm,fxp,fym,fyp,fzm,fzp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
gBFzm = self.mesh.gridFz[fzm,:]
|
||||
gBFzp = self.mesh.gridFz[fzp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
temp_zm, temp_zp = np.ones_like(gBFzm[:,2]), np.ones_like(gBFzp[:,2])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
alpha_zm, alpha_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
beta_zm, beta_zp = temp_zm, temp_zp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
gamma_zm, gamma_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp, alpha_zm, alpha_zp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp, beta_zm, beta_zp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp, gamma_zm, gamma_zp]
|
||||
|
||||
elif self.mesh.dim==2:
|
||||
|
||||
fxm,fxp,fym,fyp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp]
|
||||
|
||||
x_BC, y_BC = getxBCyBC_CC(self.mesh, alpha, beta, gamma)
|
||||
V = self.Vol
|
||||
self.Div = V * self.mesh.faceDiv
|
||||
P_BC, B = self.mesh.getBCProjWF_simple()
|
||||
M = B*self.mesh.aveCC2F
|
||||
self.Grad = self.Div.T - P_BC*Utils.sdiag(y_BC)*M
|
||||
|
||||
|
||||
class Problem3D_N(BaseIPProblem):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'EB' # N potentials means B is on faces
|
||||
fieldsPair = Fields_N
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseIPProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
def getA(self):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = G.T MeSigma G
|
||||
|
||||
"""
|
||||
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
A = Grad.T * MeSigma * Grad
|
||||
|
||||
# Handling Null space of A
|
||||
A[0,0] = A[0,0] + 1.
|
||||
|
||||
return A
|
||||
|
||||
def getADeriv(self, u, v, adjoint=False):
|
||||
"""
|
||||
|
||||
Product of the derivative of our system matrix with respect to the model and a vector
|
||||
|
||||
"""
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
if not adjoint:
|
||||
return Grad.T*(self.MeSigmaDeriv(Grad*u)*v)
|
||||
elif adjoint:
|
||||
return self.MeSigmaDeriv(Grad*u).T * (Grad*v)
|
||||
|
||||
|
||||
def getRHS(self):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm()
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
if __name__ == '__main__':
|
||||
|
||||
|
||||
cs = 12.5
|
||||
hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
|
||||
hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
|
||||
hz = [(cs,7, -1.3),(cs,20)]
|
||||
mesh = Mesh.TensorMesh([hx, hy, hz],x0="CCN")
|
||||
sigma = np.ones(mesh.nC)
|
||||
prob = BaseIPProblem(mesh, sigma=sigma)
|
||||
|
||||
|
||||
@@ -1,23 +0,0 @@
|
||||
import SimPEG
|
||||
from SimPEG.EM.Base import BaseEMSurvey
|
||||
from SimPEG import sp, Survey
|
||||
from SimPEG.Utils import Zero, Identity
|
||||
from SimPEG.EM.Static.DC.SrcDC import BaseSrc
|
||||
from SimPEG.EM.Static.DC.RxDC import BaseRx
|
||||
|
||||
class Survey(BaseEMSurvey):
|
||||
rxPair = BaseRx
|
||||
srcPair = BaseSrc
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
self.srcList = srcList
|
||||
BaseEMSurvey.__init__(self, srcList, **kwargs)
|
||||
|
||||
def dpred(self, m, f=None):
|
||||
"""
|
||||
Predicted data.
|
||||
|
||||
.. math::
|
||||
d_\\text{pred} = Pf(m)
|
||||
"""
|
||||
return self.prob.Jvec(m, m, f=f)
|
||||
@@ -1,2 +0,0 @@
|
||||
from ProblemIP import Problem3D_CC, Problem3D_N
|
||||
from SurveyIP import Survey
|
||||
@@ -1,445 +0,0 @@
|
||||
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 G
|
||||
|
||||
"""
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
# TODO: this won't work for full anisotropy
|
||||
MfRhoI = self.MfRhoI
|
||||
A = D * MfRhoI * G
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return V.T * A
|
||||
return A
|
||||
|
||||
def getADeriv(self, u, v, adjoint= False):
|
||||
|
||||
D = self.Div
|
||||
G = self.Grad
|
||||
MfRhoIDeriv = self.MfRhoIDeriv
|
||||
|
||||
if adjoint:
|
||||
# if self._makeASymmetric is True:
|
||||
# v = V * v
|
||||
return(MfRhoIDeriv( G * u ).T) * ( D.T * v)
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return V.T * ( D * ( MfRhoIDeriv( D.T * ( V * u ) ) * v ) )
|
||||
return D * (MfRhoIDeriv( G * u ) * v)
|
||||
|
||||
def getRHS(self):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm()
|
||||
|
||||
# I think we should deprecate this for DC problem.
|
||||
# if self._makeASymmetric is True:
|
||||
# return self.Vol.T * RHS
|
||||
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
def setBC(self):
|
||||
if self.mesh.dim==3:
|
||||
fxm,fxp,fym,fyp,fzm,fzp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
gBFzm = self.mesh.gridFz[fzm,:]
|
||||
gBFzp = self.mesh.gridFz[fzp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
temp_zm, temp_zp = np.ones_like(gBFzm[:,2]), np.ones_like(gBFzp[:,2])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
alpha_zm, alpha_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
beta_zm, beta_zp = temp_zm, temp_zp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
gamma_zm, gamma_zp = temp_zm*0., temp_zp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp, alpha_zm, alpha_zp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp, beta_zm, beta_zp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp, gamma_zm, gamma_zp]
|
||||
|
||||
elif self.mesh.dim==2:
|
||||
|
||||
fxm,fxp,fym,fyp = self.mesh.faceBoundaryInd
|
||||
gBFxm = self.mesh.gridFx[fxm,:]
|
||||
gBFxp = self.mesh.gridFx[fxp,:]
|
||||
gBFym = self.mesh.gridFy[fym,:]
|
||||
gBFyp = self.mesh.gridFy[fyp,:]
|
||||
|
||||
# Setup Mixed B.C (alpha, beta, gamma)
|
||||
temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
|
||||
temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
|
||||
|
||||
alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
|
||||
alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
beta_xm, beta_xp = temp_xm, temp_xp
|
||||
beta_ym, beta_yp = temp_ym, temp_yp
|
||||
|
||||
gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
|
||||
gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
|
||||
|
||||
alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp]
|
||||
beta = [beta_xm, beta_xp, beta_ym, beta_yp]
|
||||
gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp]
|
||||
|
||||
x_BC, y_BC = getxBCyBC_CC(self.mesh, alpha, beta, gamma)
|
||||
V = self.Vol
|
||||
self.Div = V * self.mesh.faceDiv
|
||||
P_BC, B = self.mesh.getBCProjWF_simple()
|
||||
M = B*self.mesh.aveCC2F
|
||||
self.Grad = self.Div.T - P_BC*Utils.sdiag(y_BC)*M
|
||||
|
||||
|
||||
class Problem3D_N(BaseSIPProblem):
|
||||
|
||||
_solutionType = 'phiSolution'
|
||||
_formulation = 'EB' # N potentials means B is on faces
|
||||
fieldsPair = Fields_N
|
||||
|
||||
def __init__(self, mesh, **kwargs):
|
||||
BaseSIPProblem.__init__(self, mesh, **kwargs)
|
||||
|
||||
def getA(self):
|
||||
"""
|
||||
|
||||
Make the A matrix for the cell centered DC resistivity problem
|
||||
|
||||
A = G.T MeSigma G
|
||||
|
||||
"""
|
||||
|
||||
# TODO: this won't work for full anisotropy
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
A = Grad.T * MeSigma * Grad
|
||||
|
||||
# Handling Null space of A
|
||||
A[0,0] = A[0,0] + 1.
|
||||
|
||||
return A
|
||||
|
||||
def getADeriv(self, u, v, adjoint=False):
|
||||
"""
|
||||
|
||||
Product of the derivative of our system matrix with respect to the model and a vector
|
||||
|
||||
"""
|
||||
MeSigma = self.MeSigma
|
||||
Grad = self.mesh.nodalGrad
|
||||
if not adjoint:
|
||||
return Grad.T*(self.MeSigmaDeriv(Grad*u)*v)
|
||||
elif adjoint:
|
||||
return self.MeSigmaDeriv(Grad*u).T * (Grad*v)
|
||||
|
||||
|
||||
def getRHS(self):
|
||||
"""
|
||||
RHS for the DC problem
|
||||
|
||||
q
|
||||
"""
|
||||
|
||||
RHS = self.getSourceTerm()
|
||||
return RHS
|
||||
|
||||
def getRHSDeriv(self, src, v, adjoint=False):
|
||||
"""
|
||||
Derivative of the right hand side with respect to the model
|
||||
"""
|
||||
# TODO: add qDeriv for RHS depending on m
|
||||
# qDeriv = src.evalDeriv(self, adjoint=adjoint)
|
||||
# return qDeriv
|
||||
return Zero()
|
||||
|
||||
if __name__ == '__main__':
|
||||
|
||||
|
||||
cs = 12.5
|
||||
hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
|
||||
hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
|
||||
hz = [(cs,7, -1.3),(cs,20)]
|
||||
mesh = Mesh.TensorMesh([hx, hy, hz],x0="CCN")
|
||||
sigma = np.ones(mesh.nC)
|
||||
prob = BaseSIPProblem(mesh, sigma=sigma)
|
||||
|
||||
|
||||
@@ -1,204 +0,0 @@
|
||||
from SimPEG import Utils, Maps, Mesh, sp, np
|
||||
from SimPEG.Regularization import BaseRegularization, Simple
|
||||
|
||||
class MultiRegularization(Simple):
|
||||
"""
|
||||
**MultiRegularization Class**
|
||||
|
||||
This is used to regularize the model space
|
||||
having multiple models [m1, m2, m3, ...] ::
|
||||
|
||||
reg = Regularization(mesh)
|
||||
|
||||
"""
|
||||
nModels = None # Number of models
|
||||
ratios = None # Ratio for different models
|
||||
crossgrad = False # Use cross gradient or not
|
||||
betacross = 1.
|
||||
wx = []
|
||||
wy = []
|
||||
wz = []
|
||||
|
||||
def __init__(self, mesh, mapping=None, indActive=None, **kwargs):
|
||||
BaseRegularization.__init__(self, mesh, mapping=mapping, indActive=indActive, **kwargs)
|
||||
if self.nModels == None:
|
||||
raise Exception("Put nModels as a initial input!")
|
||||
if self.ratios == None:
|
||||
self.ratios = [1. for imodel in range(self.nModels)]
|
||||
|
||||
@property
|
||||
def Wsmall(self):
|
||||
"""Regularization matrix Wsmall"""
|
||||
if getattr(self,'_Wsmall', None) is None:
|
||||
vecs = []
|
||||
for imodel in range(self.nModels):
|
||||
vecs.append((self.regmesh.vol*self.alpha_s*self.wght*self.ratios[imodel])**0.5)
|
||||
self._Wsmall = Utils.sdiag(np.hstack(vecs))
|
||||
return self._Wsmall
|
||||
|
||||
@property
|
||||
def Wx(self):
|
||||
"""Regularization matrix Wx"""
|
||||
if getattr(self, '_Wx', None) is None:
|
||||
mats = []
|
||||
for imodel in range(self.nModels):
|
||||
self.wx.append(Utils.sdiag((self.regmesh.aveCC2Fx * self.regmesh.vol*self.alpha_x*self.ratios[imodel]*(self.regmesh.aveCC2Fx*self.wght))**0.5))
|
||||
mats.append(self.wx[imodel]*self.regmesh.cellDiffxStencil)
|
||||
self._Wx = sp.block_diag(mats)
|
||||
return self._Wx
|
||||
|
||||
@property
|
||||
def Wy(self):
|
||||
"""Regularization matrix Wy"""
|
||||
if getattr(self, '_Wy', None) is None:
|
||||
mats = []
|
||||
for imodel in range(self.nModels):
|
||||
self.wy.append(Utils.sdiag((self.regmesh.aveCC2Fy * self.regmesh.vol*self.alpha_y*self.ratios[imodel]*(self.regmesh.aveCC2Fy*self.wght))**0.5))
|
||||
mats.append(self.wy[imodel]*self.regmesh.cellDiffyStencil)
|
||||
self._Wy = sp.block_diag(mats)
|
||||
return self._Wy
|
||||
|
||||
@property
|
||||
def Wz(self):
|
||||
"""Regularization matrix Wz"""
|
||||
if getattr(self, '_Wz', None) is None:
|
||||
mats = []
|
||||
for imodel in range(self.nModels):
|
||||
self.wz.append(Utils.sdiag((self.regmesh.aveCC2Fz * self.regmesh.vol*self.alpha_z*self.ratios[imodel]*(self.regmesh.aveCC2Fz*self.wght))**0.5))
|
||||
mats.append(self.wz[imodel]*self.regmesh.cellDiffzStencil)
|
||||
self._Wz = sp.block_diag(mats)
|
||||
return self._Wz
|
||||
|
||||
@property
|
||||
def Wsmooth(self):
|
||||
"""Full smoothness regularization matrix W"""
|
||||
if getattr(self, '_Wsmooth', None) is None:
|
||||
wlist = (self.Wx,)
|
||||
if self.regmesh.dim > 1:
|
||||
wlist += (self.Wy,)
|
||||
if self.regmesh.dim > 2:
|
||||
wlist += (self.Wz,)
|
||||
self._Wsmooth = sp.vstack(wlist)
|
||||
return self._Wsmooth
|
||||
|
||||
@property
|
||||
def W(self):
|
||||
"""Full regularization matrix W"""
|
||||
if getattr(self, '_W', None) is None:
|
||||
wlist = (self.Wsmall, self.Wsmooth)
|
||||
self._W = sp.vstack(wlist)
|
||||
return self._W
|
||||
|
||||
|
||||
@Utils.timeIt
|
||||
def eval(self, m):
|
||||
return self._evalSmall(m) + self._evalSmooth(m)
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmall(self, m):
|
||||
r = self.Wsmall * ( self.mapping * (m - self.mref) )
|
||||
return 0.5 * r.dot(r)
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmooth(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wsmooth * ( self.mapping * (m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wsmooth * ( self.mapping * m)
|
||||
return 0.5 * r.dot(r)
|
||||
|
||||
def cross(a,b):
|
||||
ax, ay, az = a[0], a[1], a[2]
|
||||
bx, by, bz = b[0], b[1], b[2]
|
||||
cx = ay*bz - az*by
|
||||
cy = az*bx - ax*bz
|
||||
cz = ax*by - ay*bx
|
||||
return [cx, cy, cz]
|
||||
|
||||
# TODO: Implement Cross Gradients..
|
||||
@Utils.timeIt
|
||||
def _evalCross(self, m):
|
||||
if self.crossgrad == False:
|
||||
return 0.
|
||||
elif self.crossgrad == True:
|
||||
M = (self.mapping * m).reshape((self.regmesh.nC, self.nModels), order="F")
|
||||
|
||||
ax = self.regmesh.aveFx2CC*self.regmesh.wx[0]*M[:,0]
|
||||
ay = self.regmesh.aveFy2CC*self.regmesh.wy[0]*M[:,0]
|
||||
az = self.regmesh.aveFz2CC*self.regmesh.wz[0]*M[:,0]
|
||||
bx = self.regmesh.aveFx2CC*self.regmesh.wx[1]*M[:,1]
|
||||
by = self.regmesh.aveFy2CC*self.regmesh.wy[1]*M[:,1]
|
||||
bz = self.regmesh.aveFz2CC*self.regmesh.wz[1]*M[:,1]
|
||||
#ab
|
||||
out_ab = cross([ax, ay, az], [bx, by, bz])
|
||||
r = np.r_[out_ab[0], out_ab[1], out_ab[2]]*np.sqrt(self.betacross)
|
||||
|
||||
if self.nModels == 3:
|
||||
cx = self.regmesh.aveFx2CC*self.regmesh.wx[1]*M[:,1]
|
||||
cy = self.regmesh.aveFy2CC*self.regmesh.wy[1]*M[:,1]
|
||||
cz = self.regmesh.aveFz2CC*self.regmesh.wz[1]*M[:,1]
|
||||
#ac
|
||||
out_ac = cross([ax, ay, az], [cx, cy, cz])
|
||||
#bc
|
||||
out_bc = cross([bx, by, bz], [cx, cy, cz])
|
||||
r = np.r_[r, np.hstack(out_ac)*np.sqrt(self.betacross), np.hstack(out_bc)*np.sqrt(self.betacross)]
|
||||
|
||||
return 0.5 * r.dot(r)
|
||||
|
||||
@Utils.timeIt
|
||||
def evalDeriv(self, m):
|
||||
"""
|
||||
The regularization is:
|
||||
|
||||
.. math::
|
||||
|
||||
R(m) = \\frac{1}{2}\mathbf{(m-m_\\text{ref})^\\top W^\\top W(m-m_\\text{ref})}
|
||||
|
||||
So the derivative is straight forward:
|
||||
|
||||
.. math::
|
||||
|
||||
R(m) = \mathbf{W^\\top W (m-m_\\text{ref})}
|
||||
|
||||
"""
|
||||
deriv = self._evalSmallDeriv(m) + self._evalSmoothDeriv(m)
|
||||
if self.crossgrad==True:
|
||||
deriv += self._evalCrossDeriv(m)
|
||||
return deriv
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalCrossDeriv(self,m):
|
||||
r = self.Wsmall * ( self.mapping * (m - self.mref) )
|
||||
return r.T * ( self.Wsmall * self.mapping.deriv(m - self.mref) )
|
||||
|
||||
@Utils.timeIt
|
||||
def eval2Deriv(self, m, v=None):
|
||||
"""
|
||||
Second derivative
|
||||
|
||||
:param numpy.array m: geophysical model
|
||||
:param numpy.array v: vector to multiply
|
||||
:rtype: scipy.sparse.csr_matrix or numpy.ndarray
|
||||
:return: WtW or WtW*v
|
||||
|
||||
The regularization is:
|
||||
|
||||
.. math::
|
||||
|
||||
R(m) = \\frac{1}{2}\mathbf{(m-m_\\text{ref})^\\top W^\\top W(m-m_\\text{ref})}
|
||||
|
||||
So the second derivative is straight forward:
|
||||
|
||||
.. math::
|
||||
|
||||
R(m) = \mathbf{W^\\top W}
|
||||
|
||||
"""
|
||||
mD = self.mapping.deriv(m - self.mref)
|
||||
if v is None:
|
||||
return mD.T * self.W.T * self.W * mD
|
||||
|
||||
return mD.T * ( self.W.T * ( self.W * ( mD * v) ) )
|
||||
|
||||
|
||||
|
||||
@@ -1,88 +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
|
||||
@@ -1,64 +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()
|
||||
|
||||
@property
|
||||
def nD(self):
|
||||
"""Number of data"""
|
||||
return self.vnD.sum()
|
||||
|
||||
@property
|
||||
def vnD(self):
|
||||
"""Vector number of data"""
|
||||
return np.array([rx.nD*len(rx.times) for rx in self.rxList])
|
||||
|
||||
|
||||
|
||||
class Dipole(BaseSrc):
|
||||
|
||||
def __init__(self, rxList, locA, locB, **kwargs):
|
||||
assert locA.shape == locB.shape, 'Shape of locA and locB should be the same'
|
||||
self.loc = [locA, locB]
|
||||
BaseSrc.__init__(self, rxList, **kwargs)
|
||||
|
||||
def eval(self, prob):
|
||||
if prob._formulation == 'HJ':
|
||||
inds = closestPoints(prob.mesh, self.loc, gridLoc='CC')
|
||||
q = np.zeros(prob.mesh.nC)
|
||||
q[inds] = self.current * np.r_[1., -1.]
|
||||
elif prob._formulation == 'EB':
|
||||
qa = prob.mesh.getInterpolationMat(self.loc[0], locType='N').todense()
|
||||
qb = -prob.mesh.getInterpolationMat(self.loc[1], locType='N').todense()
|
||||
q = self.current * mkvc(qa+qb)
|
||||
return q
|
||||
|
||||
class Pole(BaseSrc):
|
||||
|
||||
def __init__(self, rxList, loc, **kwargs):
|
||||
BaseSrc.__init__(self, rxList, loc=loc, **kwargs)
|
||||
|
||||
def eval(self, prob):
|
||||
if prob._formulation == 'HJ':
|
||||
inds = closestPoints(prob.mesh, self.loc)
|
||||
q = np.zeros(prob.mesh.nC)
|
||||
q[inds] = self.current * np.r_[1.]
|
||||
elif prob._formulation == 'EB':
|
||||
q = prob.mesh.getInterpolationMat(self.loc, locType='N').todense()
|
||||
q = self.current * mkvc(q)
|
||||
return q
|
||||
|
||||
@@ -1,102 +0,0 @@
|
||||
import SimPEG
|
||||
from SimPEG.EM.Base import BaseEMSurvey
|
||||
from SimPEG import np, sp, Survey, Utils
|
||||
from SimPEG.Utils import Zero, Identity
|
||||
from SimPEG.EM.Static.SIP.SrcSIP import BaseSrc
|
||||
from SimPEG.EM.Static.SIP.RxSIP import BaseRx
|
||||
import uuid
|
||||
|
||||
|
||||
class Survey(BaseEMSurvey):
|
||||
rxPair = BaseRx
|
||||
srcPair = BaseSrc
|
||||
times = None
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
self.srcList = srcList
|
||||
BaseEMSurvey.__init__(self, srcList, **kwargs)
|
||||
self.getUniqueTimes()
|
||||
|
||||
def getUniqueTimes(self):
|
||||
time_rx = []
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
time_rx.append(rx.times)
|
||||
self.times = np.unique(np.hstack(time_rx))
|
||||
|
||||
def dpred(self, m, f=None):
|
||||
"""
|
||||
Predicted data.
|
||||
|
||||
.. math::
|
||||
d_\\text{pred} = Pf(m)
|
||||
"""
|
||||
return self.prob.forward(m, f=f)
|
||||
|
||||
|
||||
class Data(SimPEG.Survey.Data):
|
||||
"""Fancy data storage by Src and Rx"""
|
||||
|
||||
def __init__(self, survey, v=None):
|
||||
self.uid = str(uuid.uuid4())
|
||||
self.survey = survey
|
||||
self._dataDict = {}
|
||||
for src in self.survey.srcList:
|
||||
self._dataDict[src] = {}
|
||||
for rx in src.rxList:
|
||||
self._dataDict[src][rx] = {}
|
||||
|
||||
if v is not None:
|
||||
self.fromvec(v)
|
||||
|
||||
def _ensureCorrectKey(self, key):
|
||||
if type(key) is tuple:
|
||||
if len(key) is not 3:
|
||||
raise KeyError('Key must be [Src, Rx, tInd]')
|
||||
if key[0] not in self.survey.srcList:
|
||||
raise KeyError('Src Key must be a source in the survey.')
|
||||
if key[1] not in key[0].rxList:
|
||||
raise KeyError('Rx Key must be a receiver for the source.')
|
||||
return key
|
||||
elif isinstance(key, self.survey.srcPair):
|
||||
if key not in self.survey.srcList:
|
||||
raise KeyError('Key must be a source in the survey.')
|
||||
return key, None, None
|
||||
else:
|
||||
raise KeyError('Key must be [Src] or [Src,Rx] or [Src, Rx, tInd]')
|
||||
|
||||
def __setitem__(self, key, value):
|
||||
src, rx, t = self._ensureCorrectKey(key)
|
||||
assert rx is not None, 'set data using [Src, Rx]'
|
||||
assert isinstance(value, np.ndarray), 'value must by ndarray'
|
||||
assert value.size == rx.nD, "value must have the same number of data as the source."
|
||||
self._dataDict[src][rx][t] = Utils.mkvc(value)
|
||||
|
||||
def __getitem__(self, key):
|
||||
src, rx, t = self._ensureCorrectKey(key)
|
||||
if rx is not None:
|
||||
if rx not in self._dataDict[src]:
|
||||
raise Exception('Data for receiver has not yet been set.')
|
||||
return self._dataDict[src][rx][t]
|
||||
|
||||
return np.concatenate([self[src,rx, t] for rx in src.rxList])
|
||||
|
||||
def tovec(self):
|
||||
val = []
|
||||
for src in self.survey.srcList:
|
||||
for rx in src.rxList:
|
||||
for t in rx.times:
|
||||
val.append(self[src, rx, t])
|
||||
return np.concatenate(val)
|
||||
|
||||
|
||||
def fromvec(self, v):
|
||||
v = Utils.mkvc(v)
|
||||
assert v.size == self.survey.nD, 'v must have the correct number of data.'
|
||||
indBot, indTop = 0, 0
|
||||
for src in self.survey.srcList:
|
||||
for rx in src.rxList:
|
||||
for t in rx.times:
|
||||
indTop += rx.nRx
|
||||
self[src, rx, t] = v[indBot:indTop]
|
||||
indBot += rx.nRx
|
||||
@@ -1,5 +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
|
||||
@@ -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 +0,0 @@
|
||||
from StaticUtils import *
|
||||
@@ -1,3 +0,0 @@
|
||||
import DC
|
||||
import IP
|
||||
import SIP
|
||||
@@ -1,142 +0,0 @@
|
||||
import numpy as np
|
||||
import scipy.sparse as sp
|
||||
import SimPEG
|
||||
from SimPEG import Utils
|
||||
from SimPEG.EM.Utils import omega
|
||||
from SimPEG.Utils import Zero, Identity
|
||||
|
||||
class Fields(SimPEG.Problem.TimeFields):
|
||||
"""
|
||||
|
||||
Fancy Field Storage for a TDEM survey. Only one field type is stored for
|
||||
each problem, the rest are computed. The fields obejct acts like an array and is indexed by
|
||||
|
||||
.. code-block:: python
|
||||
|
||||
f = problem.fields(m)
|
||||
e = f[srcList,'e']
|
||||
b = f[srcList,'b']
|
||||
|
||||
If accessing all sources for a given field, use the :code:`:`
|
||||
|
||||
.. code-block:: python
|
||||
|
||||
f = problem.fields(m)
|
||||
e = f[:,'e']
|
||||
b = f[:,'b']
|
||||
|
||||
The array returned will be size (nE or nF, nSrcs :math:`\\times` nFrequencies)
|
||||
"""
|
||||
|
||||
knownFields = {}
|
||||
dtype = float
|
||||
|
||||
def _eDeriv(self, tInd, src, dun_dm_v, v, adjoint=False):
|
||||
if adjoint is True:
|
||||
return self._eDeriv_u(tInd, src, v, adjoint), self._eDeriv_m(tInd, src, v, adjoint)
|
||||
return self._eDeriv_u(tInd, src, dun_dm_v) + self._eDeriv_m(tInd, src, v)
|
||||
|
||||
def _bDeriv(self, tInd, src, dun_dm_v, v, adjoint=False):
|
||||
if adjoint is True:
|
||||
return self._bDeriv_u(tInd, src, v, adjoint), self._bDeriv_m(tInd, src, v, adjoint)
|
||||
return self._bDeriv_u(tInd, src, dun_dm_v) + self._bDeriv_m(tInd, src, v)
|
||||
|
||||
class Fields_Derivs(Fields):
|
||||
knownFields = {
|
||||
'bDeriv': 'F',
|
||||
'eDeriv': 'E',
|
||||
'hDeriv': 'E',
|
||||
'jDeriv': 'F'
|
||||
}
|
||||
|
||||
|
||||
class Fields_b(Fields):
|
||||
"""Fancy Field Storage for a TDEM survey."""
|
||||
knownFields = {'bSolution': 'F'}
|
||||
aliasFields = {
|
||||
'b': ['bSolution', 'F', '_b'],
|
||||
'e': ['bSolution', 'E', '_e'],
|
||||
}
|
||||
|
||||
def startup(self):
|
||||
self.MeSigmaI = self.survey.prob.MeSigmaI
|
||||
self.MeSigmaIDeriv = self.survey.prob.MeSigmaIDeriv
|
||||
self.edgeCurl = self.survey.prob.mesh.edgeCurl
|
||||
self.MfMui = self.survey.prob.MfMui
|
||||
|
||||
def _b(self, bSolution, srcList, tInd):
|
||||
return bSolution
|
||||
|
||||
def _bDeriv_u(self, tInd, src, dun_dm_v, adjoint=False):
|
||||
return Identity()*dun_dm_v
|
||||
|
||||
def _bDeriv_m(self, tInd, src, v, adjoint=False):
|
||||
return Zero()
|
||||
|
||||
# def _bDeriv(self, tInd, src, dun_dm_v, v, adjoint=False):
|
||||
# if adjoint is True:
|
||||
# return self._bDeriv_u(tInd, src, v, adjoint), self._bDeriv_m(tInd, src, v, adjoint)
|
||||
# return self._bDeriv_u(tInd, src, dun_dm_v) + self._bDeriv_m(tInd, src, v)
|
||||
|
||||
def _e(self, bSolution, srcList, tInd):
|
||||
e = self.MeSigmaI * ( self.edgeCurl.T * ( self.MfMui * bSolution ) )
|
||||
for i, src in enumerate(srcList):
|
||||
_, S_e = src.eval(self.survey.prob, self.survey.prob.times[tInd])
|
||||
e[:,i] = e[:,i] - self.MeSigmaI * S_e
|
||||
return e
|
||||
|
||||
def _eDeriv_u(self, tInd, src, dun_dm_v, adjoint = False):
|
||||
if adjoint is True:
|
||||
return self.MfMui.T * ( self.edgeCurl * ( self.MeSigmaI.T * dun_dm_v ) )
|
||||
return self.MeSigmaI * ( self.edgeCurl.T * ( self.MfMui * dun_dm_v ) )
|
||||
|
||||
def _eDeriv_m(self, tInd, src, v, adjoint = False):
|
||||
_, S_e = src.eval(self.survey.prob, self.survey.prob.times[tInd])
|
||||
bSolution = self[[src],'bSolution',tInd]
|
||||
|
||||
_, S_eDeriv = src.evalDeriv(self.survey.prob.times[tInd], self, adjoint=adjoint)
|
||||
|
||||
if adjoint is True:
|
||||
return self.MeSigmaIDeriv(-S_e + self.edgeCurl.T * ( self.MfMui * bSolution ) ).T * v - S_eDeriv(self.MeSigmaI.T * v)
|
||||
|
||||
return self.MeSigmaIDeriv(-S_e + self.edgeCurl.T * ( self.MfMui * bSolution)) * v - self.MeSigmaI * S_eDeriv(v)
|
||||
|
||||
|
||||
|
||||
class Fields_e(Fields):
|
||||
"""Fancy Field Storage for a TDEM survey."""
|
||||
knownFields = {'eSolution': 'E'}
|
||||
aliasFields = {
|
||||
'e': ['eSolution', 'E', '_e'],
|
||||
'b': ['eSolution', 'F', '_b'],
|
||||
}
|
||||
|
||||
def startup(self):
|
||||
self.MeSigmaI = self.survey.prob.MeSigmaI
|
||||
self.MeSigmaIDeriv = self.survey.prob.MeSigmaIDeriv
|
||||
self.edgeCurl = self.survey.prob.mesh.edgeCurl
|
||||
self.MfMui = self.survey.prob.MfMui
|
||||
|
||||
|
||||
def _e(self, eSolution, srcList, tInd):
|
||||
return eSolution
|
||||
|
||||
def _eDeriv_u(self, tInd, src, dun_dm_v, adjoint = False):
|
||||
return dun_dm_v
|
||||
|
||||
def _eDeriv_m(self, tInd, src, v, adjoint = False):
|
||||
return Zero()
|
||||
|
||||
def _b(self, eSolution, srcList, tInd):
|
||||
raise NotImplementedError
|
||||
|
||||
def _bDeriv_u(self, tInd, src, dun_dm_v, adjoint=False):
|
||||
raise NotImplementedError
|
||||
|
||||
def _bDeriv_m(self, tInd, src, v, adjoint=False):
|
||||
raise NotImplementedError
|
||||
|
||||
# def _bDeriv(self, tInd, src, dun_dm_v, v, adjoint=False):
|
||||
# if adjoint is True:
|
||||
# return self._bDeriv_u(tInd, src, v, adjoint), self._bDeriv_m(tInd, src, v, adjoint)
|
||||
# return self._bDeriv_u(tInd, src, dun_dm_v) + self._bDeriv_m(tInd, src, v)
|
||||
@@ -1,246 +0,0 @@
|
||||
import SimPEG
|
||||
from SimPEG import np, Utils
|
||||
from SimPEG.Utils import Zero, Identity
|
||||
from scipy.constants import mu_0
|
||||
from SimPEG.EM.Utils import *
|
||||
|
||||
####################################################
|
||||
# Sources
|
||||
####################################################
|
||||
|
||||
class BaseWaveform(object):
|
||||
|
||||
def __init__(self, offTime=0., hasInitialFields=False):
|
||||
self.offTime = offTime
|
||||
self.hasInitialFields = hasInitialFields
|
||||
|
||||
def _assertMatchesPair(self, pair):
|
||||
assert (isinstance(self, pair)
|
||||
), "Waveform object must be an instance of a %s BaseWaveform class."%(pair.__name__)
|
||||
|
||||
def eval(self, time):
|
||||
raise NotImplementedError
|
||||
|
||||
def evalDeriv(self, time):
|
||||
raise NotImplementedError # needed for E-formulation
|
||||
|
||||
|
||||
class StepOffWaveform(BaseWaveform):
|
||||
|
||||
def __init__(self, offTime=0.):
|
||||
BaseWaveform.__init__(self, offTime, hasInitialFields=True)
|
||||
|
||||
def eval(self, time):
|
||||
return 0.
|
||||
|
||||
|
||||
class RawWaveform(BaseWaveform):
|
||||
|
||||
def __init__(self, offTime=0.):
|
||||
BaseWaveform.__init__(self, offTime, hasInitialFields=True)
|
||||
|
||||
def eval(self, time):
|
||||
raise NotImplementedError('RawWaveform has not been implemented, you should write it!')
|
||||
|
||||
|
||||
class TriangularWaveform(BaseWaveform):
|
||||
|
||||
def __init__(self, offTime=0.):
|
||||
BaseWaveform.__init__(self, offTime, hasInitialFields=True)
|
||||
|
||||
def eval(self, time):
|
||||
raise NotImplementedError('TriangularWaveform has not been implemented, you should write it!')
|
||||
|
||||
|
||||
|
||||
class BaseSrc(SimPEG.Survey.BaseSrc):
|
||||
|
||||
# rxPair = Rx
|
||||
integrate = True
|
||||
waveformPair = BaseWaveform
|
||||
|
||||
@property
|
||||
def waveform(self):
|
||||
"A waveform instance is not None"
|
||||
return getattr(self, '_waveform', None)
|
||||
@waveform.setter
|
||||
def waveform(self, val):
|
||||
if self.waveform is None:
|
||||
val._assertMatchesPair(self.waveformPair)
|
||||
self._mapping = val
|
||||
else:
|
||||
self._mapping = self.PropMap(val)
|
||||
|
||||
|
||||
def __init__(self, rxList, waveform = StepOffWaveform(), **kwargs):
|
||||
self.waveform = waveform
|
||||
SimPEG.Survey.BaseSrc.__init__(self, rxList, **kwargs)
|
||||
|
||||
|
||||
def bInitial(self, prob):
|
||||
return Zero()
|
||||
|
||||
def bInitialDeriv(self, prob, v=None, adjoint=False):
|
||||
return Zero()
|
||||
|
||||
def eInitial(self, prob):
|
||||
return Zero()
|
||||
|
||||
def eInitialDeriv(self, prob, v=None, adjoint=False):
|
||||
return Zero()
|
||||
|
||||
def eval(self, prob, time):
|
||||
S_m = self.S_m(prob, time)
|
||||
S_e = self.S_e(prob, time)
|
||||
return S_m, S_e
|
||||
|
||||
def evalDeriv(self, prob, time, v=None, adjoint=False):
|
||||
if v is not None:
|
||||
return self.S_mDeriv(prob, time, v, adjoint), self.S_eDeriv(prob, time, v, adjoint)
|
||||
else:
|
||||
return lambda v: self.S_mDeriv(prob, time, v, adjoint), lambda v: self.S_eDeriv(prob, time, v, adjoint)
|
||||
|
||||
def S_m(self, prob, time):
|
||||
return Zero()
|
||||
|
||||
def S_e(self, prob, time):
|
||||
return Zero()
|
||||
|
||||
def S_mDeriv(self, prob, time, v=None, adjoint=False):
|
||||
return Zero()
|
||||
|
||||
def S_eDeriv(self, prob, time, v=None, adjoint=False):
|
||||
return Zero()
|
||||
|
||||
|
||||
class MagDipole(BaseSrc):
|
||||
|
||||
waveform = None
|
||||
loc = None
|
||||
orientation = 'Z'
|
||||
moment = 1.
|
||||
mu = mu_0
|
||||
|
||||
def __init__(self, rxList, **kwargs):
|
||||
assert self.orientation in ['X','Y','Z'], "Orientation (right now) doesn't actually do anything! The methods in SrcUtils should take care of this..."
|
||||
self.integrate = False
|
||||
BaseSrc.__init__(self, rxList, **kwargs)
|
||||
|
||||
def _bfromVectorPotential(self, prob):
|
||||
if prob._eqLocs is 'FE':
|
||||
gridX = prob.mesh.gridEx
|
||||
gridY = prob.mesh.gridEy
|
||||
gridZ = prob.mesh.gridEz
|
||||
C = prob.mesh.edgeCurl
|
||||
|
||||
elif prob._eqLocs is 'EF':
|
||||
gridX = prob.mesh.gridFx
|
||||
gridY = prob.mesh.gridFy
|
||||
gridZ = prob.mesh.gridFz
|
||||
C = prob.mesh.edgeCurl.T
|
||||
|
||||
|
||||
if prob.mesh._meshType is 'CYL':
|
||||
if not prob.mesh.isSymmetric:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
a = MagneticDipoleVectorPotential(self.loc, gridY, 'y', mu=self.mu, moment=self.moment)
|
||||
|
||||
else:
|
||||
srcfct = MagneticDipoleVectorPotential
|
||||
ax = srcfct(self.loc, gridX, 'x', mu=self.mu, moment=self.moment)
|
||||
ay = srcfct(self.loc, gridY, 'y', mu=self.mu, moment=self.moment)
|
||||
az = srcfct(self.loc, gridZ, 'z', mu=self.mu, moment=self.moment)
|
||||
a = np.concatenate((ax, ay, az))
|
||||
|
||||
return C*a
|
||||
|
||||
|
||||
def bInitial(self, prob):
|
||||
|
||||
if self.waveform.hasInitialFields is False:
|
||||
return Zero()
|
||||
|
||||
return self._bfromVectorPotential(prob)
|
||||
|
||||
def eInitial(self, prob):
|
||||
|
||||
if self.waveform.hasInitialFields is False:
|
||||
return Zero()
|
||||
|
||||
b = self.bInitial(prob)
|
||||
MeSigmaI = prob.MeSigmaI
|
||||
MfMui = prob.MfMui
|
||||
C = prob.mesh.edgeCurl
|
||||
|
||||
return MeSigmaI * (C.T * (MfMui * b))
|
||||
|
||||
def eInitialDeriv(self, prob, v=None, adjoint=False):
|
||||
|
||||
if self.waveform.hasInitialFields is False:
|
||||
return Zero()
|
||||
|
||||
b = self.bInitial(prob)
|
||||
MeSigmaIDeriv = prob.MeSigmaIDeriv
|
||||
MfMui = prob.MfMui
|
||||
C = prob.mesh.edgeCurl
|
||||
S_e = self.S_e(prob, prob.t0)
|
||||
|
||||
# S_e doesn't depend on the model
|
||||
|
||||
if adjoint:
|
||||
return MeSigmaIDeriv( -S_e + C.T * ( MfMui * b ) ).T * v
|
||||
|
||||
return MeSigmaIDeriv( -S_e + C.T * ( MfMui * b ) ) * v
|
||||
|
||||
|
||||
def S_m(self, prob, time):
|
||||
if self.waveform.hasInitialFields is False:
|
||||
raise NotImplementedError
|
||||
return Zero()
|
||||
|
||||
def S_e(self, prob, time):
|
||||
if self.waveform.hasInitialFields is False:
|
||||
raise NotImplementedError
|
||||
return Zero()
|
||||
|
||||
class CircularLoop(MagDipole):
|
||||
|
||||
waveform = None
|
||||
loc = None
|
||||
orientation = 'Z'
|
||||
radius = None
|
||||
mu = mu_0
|
||||
|
||||
def __init__(self, rxList, **kwargs):
|
||||
assert self.orientation in ['X','Y','Z'], "Orientation (right now) doesn't actually do anything! The methods in SrcUtils should take care of this..."
|
||||
self.integrate = False
|
||||
BaseSrc.__init__(self, rxList, **kwargs)
|
||||
|
||||
def _bfromVectorPotential(self, prob):
|
||||
if prob._eqLocs is 'FE':
|
||||
gridX = prob.mesh.gridEx
|
||||
gridY = prob.mesh.gridEy
|
||||
gridZ = prob.mesh.gridEz
|
||||
C = prob.mesh.edgeCurl
|
||||
|
||||
elif prob._eqLocs is 'EF':
|
||||
gridX = prob.mesh.gridFx
|
||||
gridY = prob.mesh.gridFy
|
||||
gridZ = prob.mesh.gridFz
|
||||
C = prob.mesh.edgeCurl.T
|
||||
|
||||
|
||||
if prob.mesh._meshType is 'CYL':
|
||||
if not prob.mesh.isSymmetric:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
a = MagneticLoopVectorPotential(self.loc, gridY, 'y', radius=self.radius, mu=self.mu)
|
||||
|
||||
else:
|
||||
srcfct = MagneticLoopVectorPotential
|
||||
ax = srcfct(self.loc, gridX, 'x', mu=self.mu, radius=self.radius)
|
||||
ay = srcfct(self.loc, gridY, 'y', mu=self.mu, radius=self.radius)
|
||||
az = srcfct(self.loc, gridZ, 'z', mu=self.mu, radius=self.radius)
|
||||
a = np.concatenate((ax, ay, az))
|
||||
|
||||
return C*a
|
||||
|
||||
+123
-45
@@ -1,16 +1,10 @@
|
||||
import SimPEG
|
||||
from SimPEG import np, Utils
|
||||
from SimPEG.Utils import Zero, Identity
|
||||
from scipy.constants import mu_0
|
||||
from SimPEG import Utils, Survey, np
|
||||
from SimPEG.Survey import BaseSurvey
|
||||
from SimPEG.EM.Utils import *
|
||||
import SrcTDEM as Src
|
||||
from BaseTDEM import FieldsTDEM
|
||||
|
||||
|
||||
####################################################
|
||||
# Receivers
|
||||
####################################################
|
||||
|
||||
class Rx(SimPEG.Survey.BaseTimeRx):
|
||||
class RxTDEM(Survey.BaseTimeRx):
|
||||
|
||||
knownRxTypes = {
|
||||
'ex':['e', 'Ex', 'N'],
|
||||
@@ -27,7 +21,7 @@ class Rx(SimPEG.Survey.BaseTimeRx):
|
||||
}
|
||||
|
||||
def __init__(self, locs, times, rxType):
|
||||
SimPEG.Survey.BaseTimeRx.__init__(self, locs, times, rxType)
|
||||
Survey.BaseTimeRx.__init__(self, locs, times, rxType)
|
||||
|
||||
@property
|
||||
def projField(self):
|
||||
@@ -62,60 +56,144 @@ class Rx(SimPEG.Survey.BaseTimeRx):
|
||||
u_part = Utils.mkvc(u[src, self.projField, :])
|
||||
return P*u_part
|
||||
|
||||
def evalDeriv(self, src, mesh, timeMesh, v, adjoint=False):
|
||||
def evalDeriv(self, src, mesh, timeMesh, u, v, adjoint=False):
|
||||
P = self.getP(mesh, timeMesh)
|
||||
|
||||
if not adjoint:
|
||||
return P * v #Utils.mkvc(v[src, self.projField+'Deriv', :])
|
||||
return P * Utils.mkvc(v[src, self.projField, :])
|
||||
elif adjoint:
|
||||
# dP_dF_T = P.T * v #[src, self]
|
||||
# newshape = (len(dP_dF_T)/timeMesh.nN, timeMesh.nN )
|
||||
return P.T * v #np.reshape(dP_dF_T, newshape, order='F')
|
||||
return P.T * v[src, self]
|
||||
|
||||
|
||||
####################################################
|
||||
# Survey
|
||||
####################################################
|
||||
class SrcTDEM(Survey.BaseSrc):
|
||||
rxPair = RxTDEM
|
||||
radius = None
|
||||
|
||||
class Survey(SimPEG.Survey.BaseSurvey):
|
||||
def getInitialFields(self, mesh):
|
||||
F0 = getattr(self, '_getInitialFields_' + self.srcType)(mesh)
|
||||
return F0
|
||||
|
||||
def getJs(self, mesh, time):
|
||||
return None
|
||||
|
||||
|
||||
class SrcTDEM_VMD_MVP(SrcTDEM):
|
||||
|
||||
def __init__(self,rxList,loc,waveformType="STEPOFF"):
|
||||
self.loc = loc
|
||||
self.waveformType = waveformType
|
||||
SrcTDEM.__init__(self,rxList)
|
||||
|
||||
def getInitialFields(self, mesh):
|
||||
"""Vertical magnetic dipole, magnetic vector potential"""
|
||||
if self.waveformType == "STEPOFF":
|
||||
print ">> Step waveform: Non-zero initial condition"
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, 'Ey')
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'])
|
||||
else:
|
||||
raise Exception('Unknown mesh for VMD')
|
||||
return {"b": mesh.edgeCurl*MVP}
|
||||
elif self.waveformType == "GENERAL":
|
||||
print ">> General waveform: Zero initial condition"
|
||||
return {"b": np.zeros(mesh.nF)}
|
||||
else:
|
||||
raise NotImplementedError("Only use STEPOFF or GENERAL")
|
||||
|
||||
def getMeS(self, mesh, MfMui):
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, 'Ey')
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'])
|
||||
else:
|
||||
raise Exception('Unknown mesh for VMD')
|
||||
return mesh.edgeCurl.T*MfMui*mesh.edgeCurl*MVP
|
||||
|
||||
|
||||
class SrcTDEM_CircularLoop_MVP(SrcTDEM):
|
||||
def __init__(self,rxList,loc,radius,waveformType="STEPOFF"):
|
||||
self.loc = loc
|
||||
self.radius = radius
|
||||
self.waveformType = waveformType
|
||||
SrcTDEM.__init__(self,rxList)
|
||||
|
||||
def getInitialFields(self, mesh):
|
||||
"""Circular Loop, magnetic vector potential"""
|
||||
if self.waveformType == "STEPOFF":
|
||||
print ">> Step waveform: Non-zero initial condition"
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, 'Ey', self.radius)
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'], self.radius)
|
||||
else:
|
||||
raise Exception('Unknown mesh for CircularLoop')
|
||||
return {"b": mesh.edgeCurl*MVP}
|
||||
elif self.waveformType == "GENERAL":
|
||||
print ">> General waveform: Zero initial condition"
|
||||
return {"b": np.zeros(mesh.nF)}
|
||||
else:
|
||||
raise NotImplementedError("Only use STEPOFF or GENERAL")
|
||||
|
||||
def getMeS(self, mesh, MfMui):
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, 'Ey', self.radius)
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'], self.radius)
|
||||
else:
|
||||
raise Exception('Unknown mesh for CircularLoop')
|
||||
return mesh.edgeCurl.T*MfMui*mesh.edgeCurl*MVP
|
||||
|
||||
|
||||
class SurveyTDEM(Survey.BaseSurvey):
|
||||
"""
|
||||
Time domain electromagnetic survey
|
||||
docstring for SurveyTDEM
|
||||
"""
|
||||
|
||||
srcPair = Src.BaseSrc
|
||||
rxPair = Rx
|
||||
srcPair = SrcTDEM
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
# Sort these by frequency
|
||||
self.srcList = srcList
|
||||
SimPEG.Survey.BaseSurvey.__init__(self, **kwargs)
|
||||
Survey.BaseSurvey.__init__(self, **kwargs)
|
||||
|
||||
def eval(self, u):
|
||||
data = SimPEG.Survey.Data(self)
|
||||
data = Survey.Data(self)
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
data[src, rx] = rx.eval(src, self.mesh, self.prob.timeMesh, u)
|
||||
return data
|
||||
|
||||
def evalDeriv(self, u, v=None, adjoint=False):
|
||||
raise Exception('Use Receivers to project fields deriv.')
|
||||
# assert v is not None, 'v to multiply must be provided.'
|
||||
assert v is not None, 'v to multiply must be provided.'
|
||||
|
||||
# if not adjoint:
|
||||
# data = SimPEG.Survey.Data(self)
|
||||
# for src in self.srcList:
|
||||
# for rx in src.rxList:
|
||||
# data[src, rx] = rx.evalDeriv(src, self.mesh, self.prob.timeMesh, u, v)
|
||||
# return data
|
||||
# else:
|
||||
# f = FieldsTDEM(self.mesh, self)
|
||||
# for src in self.srcList:
|
||||
# for rx in src.rxList:
|
||||
# Ptv = rx.evalDeriv(src, self.mesh, self.prob.timeMesh, u, v, adjoint=True)
|
||||
# Ptv = Ptv.reshape((-1, self.prob.timeMesh.nN), order='F')
|
||||
# if rx.projField not in f: # first time we are projecting
|
||||
# f[src, rx.projField, :] = Ptv
|
||||
# else: # there are already fields, so let's add to them!
|
||||
# f[src, rx.projField, :] += Ptv
|
||||
# return f
|
||||
if not adjoint:
|
||||
data = Survey.Data(self)
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
data[src, rx] = rx.evalDeriv(src, self.mesh, self.prob.timeMesh, u, v)
|
||||
return data
|
||||
else:
|
||||
f = FieldsTDEM(self.mesh, self)
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
Ptv = rx.evalDeriv(src, self.mesh, self.prob.timeMesh, u, v, adjoint=True)
|
||||
Ptv = Ptv.reshape((-1, self.prob.timeMesh.nN), order='F')
|
||||
if rx.projField not in f: # first time we are projecting
|
||||
f[src, rx.projField, :] = Ptv
|
||||
else: # there are already fields, so let's add to them!
|
||||
f[src, rx.projField, :] += Ptv
|
||||
return f
|
||||
|
||||
|
||||
|
||||
@@ -1,553 +0,0 @@
|
||||
from SimPEG import Problem, Utils, np, sp, Solver as SimpegSolver
|
||||
from SimPEG.EM.Base import BaseEMProblem
|
||||
from SimPEG.EM.TDEM.SurveyTDEM import Survey as SurveyTDEM
|
||||
from SimPEG.EM.TDEM.FieldsTDEM import *
|
||||
from scipy.constants import mu_0
|
||||
import time
|
||||
|
||||
class BaseTDEMProblem(Problem.BaseTimeProblem, BaseEMProblem):
|
||||
"""
|
||||
We start with the first order form of Maxwell's equations
|
||||
"""
|
||||
surveyPair = SurveyTDEM
|
||||
fieldsPair = Fields
|
||||
|
||||
def __init__(self, mesh, mapping=None, **kwargs):
|
||||
Problem.BaseTimeProblem.__init__(self, mesh, mapping=mapping, **kwargs)
|
||||
|
||||
def fields(self, m):
|
||||
"""
|
||||
Solve the forward problem for the fields.
|
||||
|
||||
:param numpy.array m: inversion model (nP,)
|
||||
:rtype numpy.array:
|
||||
:return F: fields
|
||||
"""
|
||||
|
||||
tic = time.time()
|
||||
self.curModel = m
|
||||
|
||||
F = self.fieldsPair(self.mesh, self.survey)
|
||||
|
||||
# set initial fields
|
||||
F[:,self._fieldType+'Solution',0] = self.getInitialFields()
|
||||
|
||||
# timestep to solve forward
|
||||
if self.verbose: print '%s\nCalculating fields(m)\n%s'%('*'*50,'*'*50)
|
||||
Ainv = None
|
||||
for tInd, dt in enumerate(self.timeSteps):
|
||||
if Ainv is not None and (tInd > 0 and dt != self.timeSteps[tInd - 1]):# keep factors if dt is the same as previous step b/c A will be the same
|
||||
Ainv.clean()
|
||||
Ainv = None
|
||||
|
||||
if Ainv is None:
|
||||
A = self.getAdiag(tInd)
|
||||
if self.verbose: print 'Factoring... (dt = %e)'%dt
|
||||
Ainv = self.Solver(A, **self.solverOpts)
|
||||
if self.verbose: print 'Done'
|
||||
|
||||
rhs = self.getRHS(tInd+1) # this is on the nodes of the time mesh
|
||||
Asubdiag = self.getAsubdiag(tInd)
|
||||
|
||||
if self.verbose: print (' Solving... (tInd = %i)')% (tInd+1)
|
||||
sol = Ainv * (rhs - Asubdiag * F[:,self._fieldType+'Solution',tInd]) # taking a step
|
||||
|
||||
if self.verbose: print ' Done...'
|
||||
|
||||
if sol.ndim == 1:
|
||||
sol.shape = (sol.size,1)
|
||||
F[:,self._fieldType+'Solution',tInd+1] = sol
|
||||
if self.verbose: print '%s\nDone calculating fields(m)\n%s'%('*'*50,'*'*50)
|
||||
Ainv.clean()
|
||||
return F
|
||||
|
||||
|
||||
def Jvec(self, m, v, f=None):
|
||||
"""
|
||||
Jvec computes the sensitivity times a vector
|
||||
|
||||
.. math::
|
||||
\mathbf{J} \mathbf{v} = \\frac{d\mathbf{P}}{d\mathbf{F}} \left( \\frac{d\mathbf{F}}{d\mathbf{u}} \\frac{d\mathbf{u}}{d\mathbf{m}} + \\frac{\partial\mathbf{F}}{\partial\mathbf{m}} \\right) \mathbf{v}
|
||||
|
||||
where
|
||||
|
||||
.. math::
|
||||
\mathbf{A} \\frac{d\mathbf{u}}{d\mathbf{m}} + \\frac{d\mathbf{A}(\mathbf{u})}{d\mathbf{m}} = \\frac{d \mathbf{RHS}}{d \mathbf{m}}
|
||||
"""
|
||||
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
ftype = self._fieldType + 'Solution' # the thing we solved for
|
||||
self.curModel = m
|
||||
|
||||
# mat to store previous time-step's solution deriv times a vector for each source
|
||||
# size: nu x nSrc
|
||||
|
||||
# this is a bit silly
|
||||
|
||||
# if self._fieldType is 'b' or self._fieldType is 'j':
|
||||
# ifields = np.zeros((self.mesh.nF, len(Srcs)))
|
||||
# elif self._fieldType is 'e' or self._fieldType is 'h':
|
||||
# ifields = np.zeros((self.mesh.nE, len(Srcs)))
|
||||
|
||||
# for i, src in enumerate(self.survey.srcList):
|
||||
dun_dm_v = np.hstack([Utils.mkvc(self.getInitialFieldsDeriv(src,v),2) for src in self.survey.srcList]) # can over-write this at each timestep
|
||||
#
|
||||
df_dm_v = Fields_Derivs(self.mesh, self.survey) # store the field derivs we need to project to calc full deriv
|
||||
|
||||
Adiaginv = None
|
||||
|
||||
for tInd, dt in zip(range(self.nT), self.timeSteps):
|
||||
if Adiaginv is not None and (tInd > 0 and dt != self.timeSteps[tInd - 1]):# keep factors if dt is the same as previous step b/c A will be the same
|
||||
Adiaginv.clean()
|
||||
Adiaginv = None
|
||||
|
||||
if Adiaginv is None:
|
||||
A = self.getAdiag(tInd)
|
||||
Adiaginv = self.Solver(A, **self.solverOpts)
|
||||
|
||||
Asubdiag = self.getAsubdiag(tInd)
|
||||
|
||||
for i, src in enumerate(self.survey.srcList):
|
||||
|
||||
# here, we are lagging by a timestep, so filling in as we go
|
||||
for projField in set([rx.projField for rx in src.rxList]):
|
||||
# Seogi: df_duFun?
|
||||
df_dmFun = getattr(f, '_%sDeriv'%projField, None)
|
||||
# df_dm_v is dense, but we only need the times at (rx.P.T * ones > 0)
|
||||
# This should be called rx.footprint
|
||||
df_dm_v[src, '%sDeriv'%projField , tInd] = df_dmFun(tInd, src, dun_dm_v[:,i], v)
|
||||
|
||||
un_src = f[src,ftype,tInd+1]
|
||||
|
||||
dA_dm_v = self.getAdiagDeriv(tInd, un_src, v) # cell centered on time mesh
|
||||
dRHS_dm_v = self.getRHSDeriv(tInd+1, src, v) # on nodes of time mesh
|
||||
|
||||
dAsubdiag_dm_v = self.getAsubdiagDeriv(tInd, f[src,ftype,tInd], v)
|
||||
|
||||
JRHS = dRHS_dm_v - dAsubdiag_dm_v - dA_dm_v
|
||||
|
||||
# step in time and overwrite
|
||||
if tInd != len(self.timeSteps+1):
|
||||
dun_dm_v[:,i] = Adiaginv * (JRHS - Asubdiag * dun_dm_v[:,i])
|
||||
|
||||
# Seogi: suspcious spot
|
||||
# Jv = self.dataPair(self.survey)
|
||||
Jv = []
|
||||
for src in self.survey.srcList:
|
||||
for rx in src.rxList:
|
||||
# Looping over data class append memory as well!!
|
||||
# Jv[src,rx] = rx.evalDeriv(src, self.mesh, self.timeMesh, Utils.mkvc(df_dm_v[src,'%sDeriv'%rx.projField,:]))
|
||||
Jv.append(rx.evalDeriv(src, self.mesh, self.timeMesh, Utils.mkvc(df_dm_v[src,'%sDeriv'%rx.projField,:])))
|
||||
Adiaginv.clean()
|
||||
# del df_dm_v, dun_dm_v, Asubdiag
|
||||
# return Utils.mkvc(Jv)
|
||||
return np.hstack(Jv)
|
||||
|
||||
def Jtvec(self, m, v, f=None):
|
||||
|
||||
"""
|
||||
Jvec computes the adjoint of the sensitivity times a vector
|
||||
|
||||
.. math::
|
||||
\mathbf{J}^\\top \mathbf{v} = \left( \\frac{d\mathbf{u}}{d\mathbf{m}} ^ \\top \\frac{d\mathbf{F}}{d\mathbf{u}} ^ \\top + \\frac{\partial\mathbf{F}}{\partial\mathbf{m}} ^ \\top \\right) \\frac{d\mathbf{P}}{d\mathbf{F}} ^ \\top \mathbf{v}
|
||||
|
||||
where
|
||||
|
||||
.. math::
|
||||
\\frac{d\mathbf{u}}{d\mathbf{m}} ^\\top \mathbf{A}^\\top + \\frac{d\mathbf{A}(\mathbf{u})}{d\mathbf{m}} ^ \\top = \\frac{d \mathbf{RHS}}{d \mathbf{m}} ^ \\top
|
||||
"""
|
||||
|
||||
if f is None:
|
||||
f = self.fields(m)
|
||||
|
||||
self.curModel = m
|
||||
ftype = self._fieldType + 'Solution' # the thing we solved for
|
||||
|
||||
# Ensure v is a data object.
|
||||
if not isinstance(v, self.dataPair):
|
||||
v = self.dataPair(self.survey, v)
|
||||
|
||||
df_duT_v = Fields_Derivs(self.mesh, self.survey)
|
||||
ATinv_df_duT_v = np.zeros((len(self.survey.srcList), len(f[self.survey.srcList[0],ftype,0])), dtype=float) # same size as fields at a single timestep
|
||||
|
||||
JTv = np.zeros(m.shape, dtype=float)
|
||||
|
||||
# Loop over sources and receivers to create a fields object: PT_v, df_duT_v, df_dmT_v
|
||||
PT_v = Fields_Derivs(self.mesh, self.survey) # initialize storage for PT_v (don't need to preserve over sources)
|
||||
for src in self.survey.srcList:
|
||||
# Looping over initializing field class is appending memory!
|
||||
# PT_v = Fields_Derivs(self.mesh, self.survey) # initialize storage for PT_v (don't need to preserve over sources)
|
||||
# initialize size
|
||||
df_duT_v[src, '%sDeriv'%self._fieldType, :] = np.zeros_like(f[src, self._fieldType, :])
|
||||
|
||||
for rx in src.rxList:
|
||||
print ('_%sDeriv')%(rx.projField)
|
||||
PT_v[src,'%sDeriv'%rx.projField,:] = rx.evalDeriv(src, self.mesh, self.timeMesh, Utils.mkvc(v[src,rx]), adjoint=True) # this is +=
|
||||
|
||||
# PT_v = np.reshape(curPT_v,(len(curPT_v)/self.timeMesh.nN, self.timeMesh.nN), order='F')
|
||||
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None)
|
||||
|
||||
for tInd in range(self.nT+1):
|
||||
cur = df_duTFun(tInd, src, None, Utils.mkvc(PT_v[src,'%sDeriv'%rx.projField,tInd]), adjoint=True)
|
||||
df_duT_v[src, '%sDeriv'%self._fieldType, tInd] = df_duT_v[src, '%sDeriv'%self._fieldType, tInd] + Utils.mkvc(cur[0],2)
|
||||
JTv = cur[1] + JTv
|
||||
|
||||
del PT_v # no longer need this
|
||||
|
||||
AdiagTinv = None
|
||||
|
||||
# Do the back-solve through time
|
||||
for tIndP in reversed(range(self.nT + 1)):
|
||||
tInd = tIndP - 1
|
||||
if AdiagTinv is not None and (tInd <= self.nT and self.timeSteps[tInd] != self.timeSteps[tInd+1]): # if the previous timestep is the same --> no need to refactor the matrix
|
||||
AdiagTinv.clean()
|
||||
AdiagTinv = None
|
||||
|
||||
# refactor if we need to
|
||||
if AdiagTinv is None and tInd > -1:
|
||||
Adiag = self.getAdiag(tInd)
|
||||
AdiagTinv = self.Solver(Adiag.T, **self.solverOpts)
|
||||
|
||||
dAsubdiag_dm_v = Zero()
|
||||
|
||||
if tInd < self.nT - 1:
|
||||
Asubdiag = self.getAsubdiag(tInd+1)
|
||||
|
||||
|
||||
for isrc, src in enumerate(self.survey.srcList):
|
||||
# solve against df_duT_v
|
||||
if tInd >= self.nT-1:
|
||||
# last timestep (first to be solved)
|
||||
ATinv_df_duT_v[isrc,:] = AdiagTinv * df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1]
|
||||
elif tInd > -1:
|
||||
# else:
|
||||
ATinv_df_duT_v[isrc,:] = AdiagTinv * (Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1]) - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:]))
|
||||
else:
|
||||
# AdiagTinv = I
|
||||
ATinv_df_duT_v[isrc,:] = Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1]) - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:])
|
||||
# - Utils.mkvc(Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:]))
|
||||
# (Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1]) - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:]))
|
||||
|
||||
if tInd < self.nT - 1:
|
||||
dAsubdiagT_dm_v = self.getAsubdiagDeriv(tInd+1, f[src,ftype,tInd+1], ATinv_df_duT_v[isrc,:], adjoint = True)
|
||||
|
||||
if tInd > -1:
|
||||
un_src = f[src,ftype,tInd+1]
|
||||
dAT_dm_v = self.getAdiagDeriv(tInd, un_src, ATinv_df_duT_v[isrc,:], adjoint=True) # cell centered on time mesh
|
||||
dRHST_dm_v = self.getRHSDeriv(tInd+1, src, ATinv_df_duT_v[isrc,:], adjoint=True) # on nodes of time mesh
|
||||
|
||||
JTv = JTv + Utils.mkvc(- dAT_dm_v - dAsubdiag_dm_v + dRHST_dm_v)
|
||||
else:
|
||||
# dA_dm_v = self.getInitialFieldsDeriv(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1], adjoint=True)
|
||||
# print np.linalg.norm(self.getInitialFieldsDeriv(src, df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1], adjoint=True))
|
||||
# print np.linalg.norm(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1])
|
||||
# vec = - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:]) + Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1])
|
||||
# dAsubdiagT_dm_v = self.getAsubdiagDeriv(tInd+1, f[src,ftype,tInd+1], Utils.mkvc(ATinv_df_duT_v[isrc,:]), adjoint = True)
|
||||
dRHST_dm_v = Utils.mkvc(self.getInitialFieldsDeriv(src, Utils.mkvc(ATinv_df_duT_v[isrc,:]) , adjoint=True))
|
||||
|
||||
JTv = JTv + Utils.mkvc( -dAsubdiagT_dm_v + dRHST_dm_v) #
|
||||
|
||||
|
||||
|
||||
# # dAT_dm_v = self.getAdiagDeriv(tInd, un_src, ATinv_df_duT_v[isrc,:], adjoint=True) # cell centered on time mesh
|
||||
# dRHST_dm_v0 = self.getRHSDeriv(tInd+1, src, ATinv_df_duT_v[isrc,:], adjoint=True) # on nodes of time mesh
|
||||
# dRHST_dm_v1 = self.getInitialFieldsDeriv( Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1]), adjoint=True)
|
||||
# JTv = JTv + Utils.mkvc(dRHST_dm_v0 + dRHST_dm_v1)
|
||||
|
||||
# print 'here'
|
||||
# inFields = self.getInitialFieldsDeriv(f[src,ftype,tInd+1], Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,tInd+1]), adjoint=True)
|
||||
# # - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:]), adjoint=True)
|
||||
# print inFields.shape
|
||||
# JTv = JTv + inFields
|
||||
# dAsubdiag_dm_v = 0
|
||||
|
||||
|
||||
|
||||
# Missing the 0 step
|
||||
|
||||
# adding du_dm^T * dF_du^T * P^T vfor time 0 (no dRHS_dm_v at time 0)
|
||||
# Asubdiag = self.getAsubdiag(0)
|
||||
# for src in self.survey.srcList:
|
||||
# for projField in set(rx.projField):
|
||||
# v = AdiagTinv * (Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,0]) - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:]))
|
||||
# JTv = JTv - Utils.mkvc(self.getAdiagDeriv(0, f[src, ftype, tInd], v, adjoint = True))
|
||||
# # JTv = JTv + self.getInitialFieldsDeriv(Utils.mkvc(df_duT_v[src,'%sDeriv'%self._fieldType,0] - Asubdiag.T * Utils.mkvc(ATinv_df_duT_v[isrc,:])), adjoint=True)
|
||||
|
||||
# del df_duT_v, ATinv_df_duT_v, A, Asubdiag
|
||||
if AdiagTinv is not None:
|
||||
AdiagTinv.clean()
|
||||
|
||||
return Utils.mkvc(JTv).astype(float)
|
||||
|
||||
|
||||
|
||||
def getSourceTerm(self, tInd):
|
||||
|
||||
Srcs = self.survey.srcList
|
||||
|
||||
if self._eqLocs is 'FE':
|
||||
S_m = np.zeros((self.mesh.nF,len(Srcs)))
|
||||
S_e = np.zeros((self.mesh.nE,len(Srcs)))
|
||||
elif self._eqLocs is 'EF':
|
||||
S_m = np.zeros((self.mesh.nE,len(Srcs)))
|
||||
S_e = np.zeros((self.mesh.nF,len(Srcs)))
|
||||
|
||||
for i, src in enumerate(Srcs):
|
||||
smi, sei = src.eval(self, self.times[tInd])
|
||||
S_m[:,i] = S_m[:,i] + smi
|
||||
S_e[:,i] = S_e[:,i] + sei
|
||||
|
||||
return S_m, S_e
|
||||
|
||||
def getInitialFields(self):
|
||||
|
||||
Srcs = self.survey.srcList
|
||||
|
||||
if self._fieldType is 'b' or self._fieldType is 'j':
|
||||
ifields = np.zeros((self.mesh.nF, len(Srcs)))
|
||||
elif self._fieldType is 'e' or self._fieldType is 'h':
|
||||
ifields = np.zeros((self.mesh.nE, len(Srcs)))
|
||||
|
||||
for i,src in enumerate(Srcs):
|
||||
ifields[:,i] = ifields[:,i] + getattr(src, '%sInitial'%self._fieldType, None)(self)
|
||||
|
||||
return ifields
|
||||
|
||||
def getInitialFieldsDeriv(self, src, v, adjoint=False):
|
||||
|
||||
if adjoint is False:
|
||||
if self._fieldType is 'b' or self._fieldType is 'j':
|
||||
ifieldsDeriv = np.zeros(self.mesh.nF)
|
||||
elif self._fieldType is 'e' or self._fieldType is 'h':
|
||||
ifieldsDeriv = np.zeros(self.mesh.nE)
|
||||
|
||||
elif adjoint is True:
|
||||
ifieldsDeriv = np.zeros(self.mapping.nP)
|
||||
|
||||
ifieldsDeriv = Utils.mkvc(getattr(src, '%sInitialDeriv'%self._fieldType, None)(self,v,adjoint)) + ifieldsDeriv
|
||||
|
||||
# ifieldsDeriv = Utils.mkvc(getattr(src, '%sInitialDeriv'%self._fieldType, None)(self,v,adjoint)) + ifieldsDeriv
|
||||
# ifieldsDeriv = self.getAdiagDeriv(None, u, v, adjoint)
|
||||
# ifieldsDeriv = ifieldsDeriv.sum()
|
||||
|
||||
return ifieldsDeriv
|
||||
|
||||
|
||||
##########################################################################################
|
||||
################################ E-B Formulation #########################################
|
||||
##########################################################################################
|
||||
|
||||
# ------------------------------- Problem_b -------------------------------------------- #
|
||||
|
||||
class Problem_b(BaseTDEMProblem):
|
||||
"""
|
||||
Starting from the quasi-static E-B formulation of Maxwell's equations (semi-discretized)
|
||||
|
||||
.. math::
|
||||
|
||||
\mathbf{C} \mathbf{e} + \\frac{\partial \mathbf{b}}{\partial t} = \mathbf{s_m} \\\\
|
||||
\mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} - \mathbf{M_{\sigma}^e} \mathbf{e} = \mathbf{s_e}
|
||||
|
||||
where :math:`\mathbf{s_e}` is an integrated quantity, we eliminate :math:`\mathbf{e}` using
|
||||
|
||||
.. math::
|
||||
\mathbf{e} = \mathbf{M_{\sigma}^e}^{-1} \mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} - \mathbf{M_{\sigma}^e}^{-1} \mathbf{s_e}
|
||||
|
||||
to obtain a second order semi-discretized system in :math:`\mathbf{b}`
|
||||
|
||||
.. math::
|
||||
\mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} + \\frac{\partial \mathbf{b}}{\partial t} = \mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{s_e} + \mathbf{s_m}
|
||||
|
||||
and moving everything except the time derivative to the rhs gives
|
||||
|
||||
.. math::
|
||||
\\frac{\partial \mathbf{b}}{\partial t} = -\mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} + \mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{s_e} + \mathbf{s_m}
|
||||
|
||||
For the time discretization, we use backward euler. To solve for the :math:`n+1`th time step, we have
|
||||
|
||||
.. math::
|
||||
\\frac{\mathbf{b}^{n+1} - \mathbf{b}^{n}}{\mathbf{dt}} = -\mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b}^{n+1} + \mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{s_e}^{n+1} + \mathbf{s_m}^{n+1}
|
||||
|
||||
re-arranging to put :math:`\mathbf{b}^{n+1}` on the left hand side gives
|
||||
|
||||
.. math::
|
||||
(\mathbf{I} + \mathbf{dt} \mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f}) \mathbf{b}^{n+1} = \mathbf{b}^{n} + \mathbf{dt}(\mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{s_e}^{n+1} + \mathbf{s_m}^{n+1})
|
||||
|
||||
:param Mesh mesh: mesh
|
||||
:param Mapping mapping: mapping
|
||||
"""
|
||||
|
||||
_fieldType = 'b'
|
||||
_eqLocs = 'FE'
|
||||
fieldsPair = Fields_b
|
||||
surveyPair = SurveyTDEM
|
||||
|
||||
def __init__(self, mesh, mapping=None, **kwargs):
|
||||
BaseTDEMProblem.__init__(self, mesh, mapping=mapping, **kwargs)
|
||||
|
||||
def getAdiag(self, tInd):
|
||||
"""
|
||||
System matrix at a given time index
|
||||
|
||||
.. math::
|
||||
(\mathbf{I} + \mathbf{dt} \mathbf{C} \mathbf{M_{\sigma}^e}^{-1} \mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f})
|
||||
|
||||
"""
|
||||
assert tInd >= 0 and tInd < self.nT
|
||||
|
||||
dt = self.timeSteps[tInd]
|
||||
C = self.mesh.edgeCurl
|
||||
MeSigmaI = self.MeSigmaI
|
||||
MfMui = self.MfMui
|
||||
I = Utils.speye(self.mesh.nF)
|
||||
|
||||
A = 1./dt * I + ( C * ( MeSigmaI * (C.T * MfMui ) ) )
|
||||
|
||||
if self._makeASymmetric is True:
|
||||
return MfMui.T * A
|
||||
return A
|
||||
|
||||
def getAdiagDeriv(self, tInd, u, v, adjoint=False):
|
||||
C = self.mesh.edgeCurl
|
||||
MeSigmaIDeriv = lambda x: self.MeSigmaIDeriv(x)
|
||||
MfMui = self.MfMui
|
||||
|
||||
if adjoint:
|
||||
if self._makeASymmetric is True:
|
||||
v = MfMui * v
|
||||
return MeSigmaIDeriv(C.T * ( MfMui * u )).T * ( C.T * v )
|
||||
|
||||
ADeriv = ( C * ( MeSigmaIDeriv(C.T * ( MfMui * u )) * v ) )
|
||||
if self._makeASymmetric is True:
|
||||
return MfMui.T * ADeriv
|
||||
return ADeriv
|
||||
|
||||
|
||||
def getAsubdiag(self, tInd):
|
||||
|
||||
dt = self.timeSteps[tInd]
|
||||
MfMui = self.MfMui
|
||||
Asubdiag = - 1./dt * sp.eye(self.mesh.nF)
|
||||
|
||||
if self._makeASymmetric is True:
|
||||
return MfMui.T * Asubdiag
|
||||
|
||||
return Asubdiag
|
||||
|
||||
def getAsubdiagDeriv(self, tInd, u, v, adjoint=False):
|
||||
return Zero() * v
|
||||
|
||||
|
||||
|
||||
def getRHS(self, tInd):
|
||||
C = self.mesh.edgeCurl
|
||||
MeSigmaI = self.MeSigmaI
|
||||
MfMui = self.MfMui
|
||||
|
||||
S_m, S_e = self.getSourceTerm(tInd)
|
||||
|
||||
rhs = (C * (MeSigmaI * S_e) + S_m)
|
||||
if self._makeASymmetric is True:
|
||||
return MfMui.T * rhs
|
||||
return rhs
|
||||
|
||||
def getRHSDeriv(self, tInd, src, v, adjoint=False):
|
||||
|
||||
C = self.mesh.edgeCurl
|
||||
MeSigmaI = self.MeSigmaI
|
||||
MeSigmaIDeriv = lambda u: self.MeSigmaIDeriv(u)
|
||||
MfMui = self.MfMui
|
||||
|
||||
_, S_e = src.eval(tInd, self)
|
||||
S_mDeriv, S_eDeriv = src.evalDeriv(self.times[tInd], self, adjoint=adjoint)
|
||||
|
||||
if adjoint:
|
||||
if self._makeASymmetric is True:
|
||||
v = self.MfMui * v
|
||||
if isinstance(S_e, Utils.Zero):
|
||||
MeSigmaIDerivT_v = Utils.Zero()
|
||||
else:
|
||||
MeSigmaIDerivT_v = MeSigmaIDeriv(S_e).T * v
|
||||
RHSDeriv = MeSigmaIDerivT_v + S_eDeriv( MeSigmaI.T * ( C.T * v ) ) + S_mDeriv(v)
|
||||
return RHSDeriv
|
||||
|
||||
if isinstance(S_e, Utils.Zero):
|
||||
MeSigmaIDeriv_v = Utils.Zero()
|
||||
else:
|
||||
MeSigmaIDeriv_v = MeSigmaIDeriv(S_e) * v
|
||||
|
||||
RHSDeriv = (C * (MeSigmaIDeriv_v + MeSigmaI * S_eDeriv(v) + S_mDeriv(v)))
|
||||
|
||||
if self._makeASymmetric is True:
|
||||
return self.MfMui.T * RHSDeriv
|
||||
return RHSDeriv
|
||||
|
||||
|
||||
# ------------------------------- Problem_e -------------------------------------------- #
|
||||
|
||||
class Problem_e(BaseTDEMProblem):
|
||||
|
||||
_fieldType = 'e'
|
||||
_eqLocs = 'FE'
|
||||
fieldsPair = Fields_e
|
||||
surveyPair = SurveyTDEM
|
||||
|
||||
def __init__(self, mesh, mapping=None, **kwargs):
|
||||
BaseTDEMProblem.__init__(self, mesh, mapping=mapping, **kwargs)
|
||||
|
||||
def getAdiag(self, tInd):
|
||||
"""
|
||||
System matrix at a given time index
|
||||
|
||||
"""
|
||||
assert tInd >= 0 and tInd < self.nT
|
||||
|
||||
dt = self.timeSteps[tInd]
|
||||
C = self.mesh.edgeCurl
|
||||
MfMui = self.MfMui
|
||||
MeSigma = self.MeSigma
|
||||
|
||||
return C.T * ( MfMui * C ) + 1./dt * MeSigma
|
||||
|
||||
|
||||
def getAdiagDeriv(self, tInd, u, v, adjoint=False):
|
||||
assert tInd >= 0 and tInd < self.nT
|
||||
|
||||
dt = self.timeSteps[tInd]
|
||||
C = self.mesh.edgeCurl
|
||||
MfMui = self.MfMui
|
||||
MeSigmaDeriv = self.MeSigmaDeriv(u)
|
||||
|
||||
if adjoint:
|
||||
return 1./dt * MeSigmaDeriv.T * v
|
||||
|
||||
return 1./dt * MeSigmaDeriv * v
|
||||
|
||||
|
||||
def getAsubdiag(self, tInd):
|
||||
assert tInd >= 0 and tInd < self.nT
|
||||
|
||||
dt = self.timeSteps[tInd]
|
||||
|
||||
return - 1./dt * self.MeSigma
|
||||
|
||||
def getAsubdiagDeriv(self, tInd, u, v, adjoint=False):
|
||||
dt = self.timeSteps[tInd]
|
||||
|
||||
if adjoint:
|
||||
return - 1./dt * self.MeSigmaDeriv(u).T * v
|
||||
|
||||
return - 1./dt * self.MeSigmaDeriv(u) * v
|
||||
|
||||
def getRHS(self, tInd):
|
||||
return Zero()
|
||||
|
||||
def getRHSDeriv(self, tInd, src, v, adjoint=False):
|
||||
return Zero()
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
@@ -1,3 +1,3 @@
|
||||
from TDEM import BaseTDEMProblem, Problem_b, Problem_e
|
||||
from FieldsTDEM import Fields, Fields_b
|
||||
from SurveyTDEM import Survey, Src, Rx
|
||||
from SurveyTDEM import * #SurveyTDEM, RxTDEM, SrcTDEM
|
||||
from BaseTDEM import BaseTDEMProblem, FieldsTDEM
|
||||
from TDEM_b import ProblemTDEM_b
|
||||
|
||||
@@ -1,199 +0,0 @@
|
||||
from SimPEG import Utils, Survey, np
|
||||
from SimPEG.Survey import BaseSurvey
|
||||
from SimPEG.EM.Utils import *
|
||||
from BaseTDEM import FieldsTDEM
|
||||
import SrcTDEM as Src
|
||||
|
||||
class RxTDEM(Survey.BaseTimeRx):
|
||||
|
||||
knownRxTypes = {
|
||||
'ex':['e', 'Ex', 'N'],
|
||||
'ey':['e', 'Ey', 'N'],
|
||||
'ez':['e', 'Ez', 'N'],
|
||||
|
||||
'bx':['b', 'Fx', 'N'],
|
||||
'by':['b', 'Fy', 'N'],
|
||||
'bz':['b', 'Fz', 'N'],
|
||||
|
||||
'dbxdt':['b', 'Fx', 'CC'],
|
||||
'dbydt':['b', 'Fy', 'CC'],
|
||||
'dbzdt':['b', 'Fz', 'CC'],
|
||||
}
|
||||
|
||||
def __init__(self, locs, times, rxType):
|
||||
Survey.BaseTimeRx.__init__(self, locs, times, rxType)
|
||||
|
||||
@property
|
||||
def projField(self):
|
||||
"""Field Type projection (e.g. e b ...)"""
|
||||
return self.knownRxTypes[self.rxType][0]
|
||||
|
||||
@property
|
||||
def projGLoc(self):
|
||||
"""Grid Location projection (e.g. Ex Fy ...)"""
|
||||
return self.knownRxTypes[self.rxType][1]
|
||||
|
||||
@property
|
||||
def projTLoc(self):
|
||||
"""Time Location projection (e.g. CC N)"""
|
||||
return self.knownRxTypes[self.rxType][2]
|
||||
|
||||
def getTimeP(self, timeMesh):
|
||||
"""
|
||||
Returns the time projection matrix.
|
||||
|
||||
.. note::
|
||||
|
||||
This is not stored in memory, but is created on demand.
|
||||
"""
|
||||
if self.rxType in ['dbxdt','dbydt','dbzdt']:
|
||||
return timeMesh.getInterpolationMat(self.times, self.projTLoc)*timeMesh.faceDiv
|
||||
else:
|
||||
return timeMesh.getInterpolationMat(self.times, self.projTLoc)
|
||||
|
||||
def eval(self, src, mesh, timeMesh, u):
|
||||
P = self.getP(mesh, timeMesh)
|
||||
u_part = Utils.mkvc(u[src, self.projField, :])
|
||||
return P*u_part
|
||||
|
||||
def evalDeriv(self, src, mesh, timeMesh, u, v, adjoint=False):
|
||||
P = self.getP(mesh, timeMesh)
|
||||
|
||||
if not adjoint:
|
||||
return P * Utils.mkvc(v[src, self.projField, :])
|
||||
elif adjoint:
|
||||
return P.T * v[src, self]
|
||||
|
||||
|
||||
class SrcTDEM(Survey.BaseSrc):
|
||||
rxPair = RxTDEM
|
||||
radius = None
|
||||
|
||||
def getInitialFields(self, mesh):
|
||||
F0 = getattr(self, '_getInitialFields_' + self.srcType)(mesh)
|
||||
return F0
|
||||
|
||||
def getJs(self, mesh, time):
|
||||
return None
|
||||
|
||||
|
||||
class SrcTDEM_VMD_MVP(SrcTDEM):
|
||||
|
||||
def __init__(self,rxList,loc,waveformType="STEPOFF"):
|
||||
self.loc = loc
|
||||
self.waveformType = waveformType
|
||||
SrcTDEM.__init__(self,rxList)
|
||||
|
||||
def getInitialFields(self, mesh):
|
||||
"""Vertical magnetic dipole, magnetic vector potential"""
|
||||
if self.waveformType == "STEPOFF":
|
||||
print ">> Step waveform: Non-zero initial condition"
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, 'Ey')
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'])
|
||||
else:
|
||||
raise Exception('Unknown mesh for VMD')
|
||||
return {"b": mesh.edgeCurl*MVP}
|
||||
elif self.waveformType == "GENERAL":
|
||||
print ">> General waveform: Zero initial condition"
|
||||
return {"b": np.zeros(mesh.nF)}
|
||||
else:
|
||||
raise NotImplementedError("Only use STEPOFF or GENERAL")
|
||||
|
||||
def getMeS(self, mesh, MfMui):
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, 'Ey')
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticDipoleVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'])
|
||||
else:
|
||||
raise Exception('Unknown mesh for VMD')
|
||||
return mesh.edgeCurl.T*MfMui*mesh.edgeCurl*MVP
|
||||
|
||||
|
||||
class SrcTDEM_CircularLoop_MVP(SrcTDEM):
|
||||
def __init__(self,rxList,loc,radius,waveformType="STEPOFF"):
|
||||
self.loc = loc
|
||||
self.radius = radius
|
||||
self.waveformType = waveformType
|
||||
SrcTDEM.__init__(self,rxList)
|
||||
|
||||
def getInitialFields(self, mesh):
|
||||
"""Circular Loop, magnetic vector potential"""
|
||||
if self.waveformType == "STEPOFF":
|
||||
print ">> Step waveform: Non-zero initial condition"
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, 'Ey', self.radius)
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'], self.radius)
|
||||
else:
|
||||
raise Exception('Unknown mesh for CircularLoop')
|
||||
return {"b": mesh.edgeCurl*MVP}
|
||||
elif self.waveformType == "GENERAL":
|
||||
print ">> General waveform: Zero initial condition"
|
||||
return {"b": np.zeros(mesh.nF)}
|
||||
else:
|
||||
raise NotImplementedError("Only use STEPOFF or GENERAL")
|
||||
|
||||
def getMeS(self, mesh, MfMui):
|
||||
if mesh._meshType is 'CYL':
|
||||
if mesh.isSymmetric:
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, 'Ey', self.radius)
|
||||
else:
|
||||
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
|
||||
elif mesh._meshType is 'TENSOR':
|
||||
MVP = MagneticLoopVectorPotential(self.loc, mesh, ['Ex','Ey','Ez'], self.radius)
|
||||
else:
|
||||
raise Exception('Unknown mesh for CircularLoop')
|
||||
return mesh.edgeCurl.T*MfMui*mesh.edgeCurl*MVP
|
||||
|
||||
|
||||
class SurveyTDEM(Survey.BaseSurvey):
|
||||
"""
|
||||
docstring for SurveyTDEM
|
||||
"""
|
||||
srcPair = SrcTDEM
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
# Sort these by frequency
|
||||
self.srcList = srcList
|
||||
Survey.BaseSurvey.__init__(self, **kwargs)
|
||||
|
||||
def projectFields(self, u):
|
||||
data = Survey.Data(self)
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
data[src, rx] = rx.projectFields(src, self.mesh, self.prob.timeMesh, u)
|
||||
return data
|
||||
|
||||
def projectFieldsDeriv(self, u, v=None, adjoint=False):
|
||||
assert v is not None, 'v to multiply must be provided.'
|
||||
|
||||
if not adjoint:
|
||||
data = Survey.Data(self)
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
data[src, rx] = rx.projectFieldsDeriv(src, self.mesh, self.prob.timeMesh, u, v)
|
||||
return data
|
||||
else:
|
||||
f = FieldsTDEM(self.mesh, self)
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
Ptv = rx.projectFieldsDeriv(src, self.mesh, self.prob.timeMesh, u, v, adjoint=True)
|
||||
Ptv = Ptv.reshape((-1, self.prob.timeMesh.nN), order='F')
|
||||
if rx.projField not in f: # first time we are projecting
|
||||
f[src, rx.projField, :] = Ptv
|
||||
else: # there are already fields, so let's add to them!
|
||||
f[src, rx.projField, :] += Ptv
|
||||
return f
|
||||
|
||||
|
||||
@@ -1,3 +0,0 @@
|
||||
from SurveyTDEM import * #SurveyTDEM, RxTDEM, SrcTDEM
|
||||
from BaseTDEM import BaseTDEMProblem, FieldsTDEM
|
||||
from TDEM_b import ProblemTDEM_b
|
||||
@@ -20,61 +20,56 @@ def getFDEMProblem(fdemType, comp, SrcList, freq, useMu=False, verbose=False):
|
||||
mesh = Mesh.TensorMesh([hx,hy,hz],['C','C','C'])
|
||||
|
||||
if useMu is True:
|
||||
mapping = [('sigma', Maps.ExpMap(mesh)), ('mu', Maps.IdentityMap(mesh))]
|
||||
mapping = [('sigma', Maps.ExpMap(mesh)), ('mu', Maps.IdentityMap(mesh))]
|
||||
else:
|
||||
mapping = Maps.ExpMap(mesh)
|
||||
|
||||
x = np.array([np.linspace(-5.*cs,-2.*cs,3),np.linspace(5.*cs,2.*cs,3)]) + cs/4. #don't sample right by the source, slightly off alignment from either staggered grid
|
||||
XYZ = Utils.ndgrid(x,x,np.linspace(-2.*cs,2.*cs,5))
|
||||
Rx0 = getattr(EM.FDEM.Rx, 'Point_' + comp[0])
|
||||
if comp[2] == 'r':
|
||||
real_or_imag = 'real'
|
||||
elif comp[2] == 'i':
|
||||
real_or_imag = 'imag'
|
||||
rx0 = Rx0(XYZ, comp[1], 'imag')
|
||||
Rx0 = EM.FDEM.Rx(XYZ, comp)
|
||||
|
||||
Src = []
|
||||
|
||||
for SrcType in SrcList:
|
||||
if SrcType is 'MagDipole':
|
||||
Src.append(EM.FDEM.Src.MagDipole([rx0], freq=freq, loc=np.r_[0.,0.,0.]))
|
||||
Src.append(EM.FDEM.Src.MagDipole([Rx0], freq=freq, loc=np.r_[0.,0.,0.]))
|
||||
elif SrcType is 'MagDipole_Bfield':
|
||||
Src.append(EM.FDEM.Src.MagDipole_Bfield([rx0], freq=freq, loc=np.r_[0.,0.,0.]))
|
||||
Src.append(EM.FDEM.Src.MagDipole_Bfield([Rx0], freq=freq, loc=np.r_[0.,0.,0.]))
|
||||
elif SrcType is 'CircularLoop':
|
||||
Src.append(EM.FDEM.Src.CircularLoop([rx0], freq=freq, loc=np.r_[0.,0.,0.]))
|
||||
Src.append(EM.FDEM.Src.CircularLoop([Rx0], freq=freq, loc=np.r_[0.,0.,0.]))
|
||||
elif SrcType is 'RawVec':
|
||||
if fdemType is 'e' or fdemType is 'b':
|
||||
S_m = np.zeros(mesh.nF)
|
||||
S_e = np.zeros(mesh.nE)
|
||||
S_m[Utils.closestPoints(mesh,[0.,0.,0.],'Fz') + np.sum(mesh.vnF[:1])] = 1e-3
|
||||
S_e[Utils.closestPoints(mesh,[0.,0.,0.],'Ez') + np.sum(mesh.vnE[:1])] = 1e-3
|
||||
Src.append(EM.FDEM.Src.RawVec([rx0], freq, S_m, mesh.getEdgeInnerProduct()*S_e))
|
||||
Src.append(EM.FDEM.Src.RawVec([Rx0], freq, S_m, S_e))
|
||||
|
||||
elif fdemType is 'h' or fdemType is 'j':
|
||||
S_m = np.zeros(mesh.nE)
|
||||
S_e = np.zeros(mesh.nF)
|
||||
S_m[Utils.closestPoints(mesh,[0.,0.,0.],'Ez') + np.sum(mesh.vnE[:1])] = 1e-3
|
||||
S_e[Utils.closestPoints(mesh,[0.,0.,0.],'Fz') + np.sum(mesh.vnF[:1])] = 1e-3
|
||||
Src.append(EM.FDEM.Src.RawVec([rx0], freq, mesh.getEdgeInnerProduct()*S_m, S_e))
|
||||
Src.append(EM.FDEM.Src.RawVec([Rx0], freq, S_m, S_e))
|
||||
|
||||
if verbose:
|
||||
print ' Fetching %s problem' % (fdemType)
|
||||
|
||||
if fdemType == 'e':
|
||||
survey = EM.FDEM.Survey(Src)
|
||||
prb = EM.FDEM.Problem3D_e(mesh, mapping=mapping)
|
||||
prb = EM.FDEM.Problem_e(mesh, mapping=mapping)
|
||||
|
||||
elif fdemType == 'b':
|
||||
survey = EM.FDEM.Survey(Src)
|
||||
prb = EM.FDEM.Problem3D_b(mesh, mapping=mapping)
|
||||
prb = EM.FDEM.Problem_b(mesh, mapping=mapping)
|
||||
|
||||
elif fdemType == 'j':
|
||||
survey = EM.FDEM.Survey(Src)
|
||||
prb = EM.FDEM.Problem3D_j(mesh, mapping=mapping)
|
||||
prb = EM.FDEM.Problem_j(mesh, mapping=mapping)
|
||||
|
||||
elif fdemType == 'h':
|
||||
survey = EM.FDEM.Survey(Src)
|
||||
prb = EM.FDEM.Problem3D_h(mesh, mapping=mapping)
|
||||
prb = EM.FDEM.Problem_h(mesh, mapping=mapping)
|
||||
|
||||
else:
|
||||
raise NotImplementedError()
|
||||
@@ -95,7 +90,7 @@ def crossCheckTest(SrcList, fdemType1, fdemType2, comp, addrandoms = False, useM
|
||||
prb1 = getFDEMProblem(fdemType1, comp, SrcList, freq, useMu, verbose)
|
||||
mesh = prb1.mesh
|
||||
print 'Cross Checking Forward: %s, %s formulations - %s' % (fdemType1, fdemType2, comp)
|
||||
|
||||
|
||||
logsig = np.log(np.ones(mesh.nC)*CONDUCTIVITY)
|
||||
mu = np.ones(mesh.nC)*MU
|
||||
|
||||
|
||||
@@ -1,6 +1,5 @@
|
||||
import TDEM
|
||||
import FDEM
|
||||
import Static
|
||||
import Base
|
||||
import Analytics
|
||||
import Utils
|
||||
|
||||
@@ -2,7 +2,7 @@ from SimPEG import Mesh, Utils, np, sp
|
||||
import SimPEG.DCIP as DC
|
||||
import time
|
||||
|
||||
def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', unitType='appConductivity', plotIt=True):
|
||||
def run(loc=None, sig=None, radi=None, param=None, stype='dpdp', dtype='appc', plotIt=True):
|
||||
"""
|
||||
DC Forward Simulation
|
||||
=====================
|
||||
@@ -15,14 +15,14 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
|
||||
loc = Location of spheres [[x1,y1,z1],[x2,y2,z2]]
|
||||
radi = Radius of spheres [r1,r2]
|
||||
param = Conductivity of background and two spheres [m0,m1,m2]
|
||||
surveyType = survey type 'pole-dipole' or 'dipole-dipole'
|
||||
unitType = Data type "appResistivity" | "appConductivity" | "volt"
|
||||
stype = survey type "pdp" (pole dipole) or "dpdp" (dipole dipole)
|
||||
dtype = Data type "appr" (app res) | "appc" (app cond) | "volt" (potential)
|
||||
Created by @fourndo
|
||||
|
||||
"""
|
||||
|
||||
assert surveyType in ['pole-dipole', 'dipole-dipole'], "Source type (surveyType) must be pdp or dpdp (pole dipole or dipole dipole)"
|
||||
assert unitType in ['appResistivity', 'appConductivity', 'volt'], "Unit type (unitType) must be appResistivity or appConductivity or volt (potential)"
|
||||
assert stype in ['pdp', 'dpdp'], "Source type (stype) must be pdp or dpdp (pole dipole or dipole dipole)"
|
||||
assert dtype in ['appr', 'appc', 'volt'], "Data type (dtype) must be appr (app res) or appc (app cond) or volt (potential)"
|
||||
|
||||
if loc is None:
|
||||
loc = np.c_[[-50.,0.,-50.],[50.,0.,-50.]]
|
||||
@@ -73,8 +73,8 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
|
||||
locs = np.c_[mesh.gridCC[indx,0],mesh.gridCC[indx,1],np.ones(2).T*mesh.vectorNz[-1]]
|
||||
|
||||
# We will handle the geometry of the survey for you and create all the combination of tx-rx along line
|
||||
# [Tx, Rx] = DC.gen_DCIPsurvey(locs, mesh, surveyType, param[0], param[1], param[2])
|
||||
survey, Tx, Rx = DC.gen_DCIPsurvey(locs, mesh, surveyType, param[0], param[1], param[2])
|
||||
# [Tx, Rx] = DC.gen_DCIPsurvey(locs, mesh, stype, param[0], param[1], param[2])
|
||||
survey, Tx, Rx = DC.gen_DCIPsurvey(locs, mesh, stype, param[0], param[1], param[2])
|
||||
|
||||
# Define some global geometry
|
||||
dl_len = np.sqrt( np.sum((locs[0,:] - locs[1,:])**2) )
|
||||
@@ -118,8 +118,8 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
|
||||
rxloc_N = np.asarray(Rx[ii][:,3:])
|
||||
|
||||
|
||||
# For usual cases 'dipole-dipole' or "gradient"
|
||||
if surveyType == 'pole-dipole':
|
||||
# For usual cases "dpdp" or "gradient"
|
||||
if stype == 'pdp':
|
||||
# Create an "inifinity" pole
|
||||
tx = np.squeeze(Tx[ii][:,0:1])
|
||||
tinf = tx + np.array([dl_x,dl_y,0])*dl_len*2
|
||||
@@ -157,12 +157,12 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
|
||||
fig = plt.figure(figsize=(7,7))
|
||||
ax = plt.subplot(2,1,1, aspect='equal')
|
||||
# Plot the location of the spheres for reference
|
||||
circle1=plt.Circle((loc[0,0], loc[2,0]), radi[0], color='w', fill=False, lw=3)
|
||||
circle2=plt.Circle((loc[0,1], loc[2,1]), radi[1], color='k', fill=False, lw=3)
|
||||
circle1=plt.Circle((loc[0,0],loc[2,0]),radi[0],color='w',fill=False, lw=3)
|
||||
circle2=plt.Circle((loc[0,1],loc[2,1]),radi[1],color='k',fill=False, lw=3)
|
||||
ax.add_artist(circle1)
|
||||
ax.add_artist(circle2)
|
||||
|
||||
dat = mesh.plotSlice(np.log10(model), ax = ax, normal = 'Y',
|
||||
dat = mesh.plotSlice(np.log10(model), ax =ax, normal = 'Y',
|
||||
ind = indy,grid=True, clim = np.log10([sig.min(),sig.max()]))
|
||||
|
||||
ax.set_title('3-D model')
|
||||
@@ -188,13 +188,15 @@ def run(loc=None, sig=None, radi=None, param=None, surveyType='dipole-dipole', u
|
||||
ax2 = plt.subplot(2,1,2, aspect='equal')
|
||||
|
||||
# Plot the location of the spheres for reference
|
||||
circle1=plt.Circle((loc[0,0], loc[2,0]), radi[0], color='w', fill=False, lw=3)
|
||||
circle2=plt.Circle((loc[0,1], loc[2,1]), radi[1], color='k', fill=False, lw=3)
|
||||
circle1=plt.Circle((loc[0,0],loc[2,0]),radi[0],color='w',fill=False, lw=3)
|
||||
circle2=plt.Circle((loc[0,1],loc[2,1]),radi[1],color='k',fill=False, lw=3)
|
||||
ax2.add_artist(circle1)
|
||||
ax2.add_artist(circle2)
|
||||
|
||||
# Add the speudo section
|
||||
dat = DC.plot_pseudoSection(survey2D, ax2, surveyType=surveyType, unitType=unitType) # plt.scatter(Tx2d[0][:],Tx[0][2,:],s=40,c='g', marker='v')
|
||||
dat = DC.plot_pseudoSection(survey2D,ax2,stype=stype, dtype = dtype)
|
||||
|
||||
# plt.scatter(Tx2d[0][:],Tx[0][2,:],s=40,c='g', marker='v')
|
||||
# plt.scatter(Rx2d[0][:],Rx[0][:,2::3],s=40,c='y')
|
||||
# plt.plot(np.r_[Tx2d[0][0],Rx2d[-1][-1,-1]],np.ones(2)*mesh.vectorNz[-1], color='k')
|
||||
ax2.set_title('Apparent Conductivity data')
|
||||
|
||||
@@ -42,8 +42,8 @@ def run(plotIt=True):
|
||||
ax.grid(color='k', alpha=0.5, linestyle='dashed', linewidth=0.5)
|
||||
|
||||
|
||||
rxOffset=10.
|
||||
bzi = EM.FDEM.Rx.Point_b(np.array([[rxOffset, 0., 1e-3]]), orientation='z', component='imag')
|
||||
rxOffset=10.
|
||||
bzi = EM.FDEM.Rx(np.array([[rxOffset, 0., 1e-3]]), 'bzi')
|
||||
|
||||
freqs = np.logspace(1,3,10)
|
||||
srcLoc = np.array([0., 0., 10.])
|
||||
@@ -51,7 +51,7 @@ def run(plotIt=True):
|
||||
srcList = [EM.FDEM.Src.MagDipole([bzi],freq, srcLoc,orientation='Z') for freq in freqs]
|
||||
|
||||
survey = EM.FDEM.Survey(srcList)
|
||||
prb = EM.FDEM.Problem3D_b(mesh, mapping=mapping)
|
||||
prb = EM.FDEM.Problem_b(mesh, mapping=mapping)
|
||||
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
|
||||
@@ -215,7 +215,7 @@ def run(plotIt=True):
|
||||
# ------------ Problem and Survey ---------------
|
||||
survey = FDEM.Survey(sg_p + dg_p)
|
||||
mapping = [('sigma', Maps.IdentityMap(mesh))]
|
||||
problem = FDEM.Problem3D_h(mesh, mapping=mapping)
|
||||
problem = FDEM.Problem_h(mesh, mapping=mapping)
|
||||
problem.pair(survey)
|
||||
|
||||
# ------------- Solve ---------------------------
|
||||
|
||||
@@ -42,10 +42,10 @@ def run(plotIt=True):
|
||||
|
||||
|
||||
rxOffset=1e-3
|
||||
rx = EM.TDEM.Rx(np.array([[rxOffset, 0., 30]]), np.logspace(-5,-3, 31), 'bz')
|
||||
src = EM.TDEM.Src.MagDipole([rx], loc=np.array([0., 0., 80]))
|
||||
survey = EM.TDEM.Survey([src])
|
||||
prb = EM.TDEM.Problem_b(mesh, mapping=mapping)
|
||||
rx = EM.TDEM.RxTDEM(np.array([[rxOffset, 0., 30]]), np.logspace(-5,-3, 31), 'bz')
|
||||
src = EM.TDEM.SrcTDEM_VMD_MVP([rx], np.array([0., 0., 80]))
|
||||
survey = EM.TDEM.SurveyTDEM([src])
|
||||
prb = EM.TDEM.ProblemTDEM_b(mesh, mapping=mapping)
|
||||
|
||||
prb.Solver = SolverLU
|
||||
prb.timeSteps = [(1e-06, 20),(1e-05, 20), (0.0001, 20)]
|
||||
@@ -53,9 +53,9 @@ def run(plotIt=True):
|
||||
|
||||
# create observed data
|
||||
std = 0.05
|
||||
|
||||
|
||||
survey.dobs = survey.makeSyntheticData(mtrue,std)
|
||||
survey.std = std
|
||||
survey.std = std
|
||||
survey.eps = 1e-5*np.linalg.norm(survey.dobs)
|
||||
|
||||
if plotIt:
|
||||
|
||||
+31
-12
@@ -1,25 +1,22 @@
|
||||
from SimPEG import Mesh, Utils, np, SolverLU
|
||||
|
||||
## 2D DC forward modeling example with Tensor and Curvilinear Meshes
|
||||
|
||||
def run(plotIt=True):
|
||||
|
||||
"""
|
||||
Mesh: Basic Forward 2D DC Resistivity
|
||||
=====================================
|
||||
|
||||
2D DC forward modeling example with Tensor and Curvilinear Meshes
|
||||
"""
|
||||
|
||||
# Step1: Generate Tensor and Curvilinear Mesh
|
||||
sz = [40,40]
|
||||
# Tensor Mesh
|
||||
tM = Mesh.TensorMesh(sz)
|
||||
# Curvilinear Mesh
|
||||
rM = Mesh.CurvilinearMesh(Utils.meshutils.exampleLrmGrid(sz,'rotate'))
|
||||
|
||||
# Step2: Direct Current (DC) operator
|
||||
def DCfun(mesh, pts):
|
||||
D = mesh.faceDiv
|
||||
G = D.T
|
||||
sigma = 1e-2*np.ones(mesh.nC)
|
||||
MsigI = mesh.getFaceInnerProduct(sigma, invProp=True, invMat=True)
|
||||
A = -D*MsigI*D.T
|
||||
Msigi = mesh.getFaceInnerProduct(1./sigma)
|
||||
MsigI = Utils.sdInv(Msigi)
|
||||
A = D*MsigI*G
|
||||
A[-1,-1] /= mesh.vol[-1] # Remove null space
|
||||
rhs = np.zeros(mesh.nC)
|
||||
txind = Utils.meshutils.closestPoints(mesh, pts)
|
||||
@@ -40,17 +37,39 @@ def run(plotIt=True):
|
||||
if not plotIt: return
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import matplotlib
|
||||
from matplotlib.mlab import griddata
|
||||
|
||||
#Step4: Making Figure
|
||||
fig, axes = plt.subplots(1,2,figsize=(12*1.2,4*1.2))
|
||||
label = ["(a)", "(b)"]
|
||||
opts = {}
|
||||
vmin, vmax = phitM.min(), phitM.max()
|
||||
dat = tM.plotImage(phitM, ax=axes[0], clim=(vmin, vmax), grid=True)
|
||||
dat = rM.plotImage(phirM, ax=axes[1], clim=(vmin, vmax), grid=True)
|
||||
|
||||
#TODO: At the moment Curvilinear Mesh do not have plotimage
|
||||
|
||||
Xi = tM.gridCC[:,0].reshape(sz[0], sz[1], order='F')
|
||||
Yi = tM.gridCC[:,1].reshape(sz[0], sz[1], order='F')
|
||||
PHIrM = griddata(rM.gridCC[:,0], rM.gridCC[:,1], phirM, Xi, Yi, interp='linear')
|
||||
axes[1].contourf(Xi, Yi, PHIrM, 100, vmin=vmin, vmax=vmax)
|
||||
|
||||
cb = plt.colorbar(dat[0], ax=axes[0]); cb.set_label("Voltage (V)")
|
||||
cb = plt.colorbar(dat[0], ax=axes[1]); cb.set_label("Voltage (V)")
|
||||
|
||||
tM.plotGrid(ax=axes[0], **opts)
|
||||
axes[0].set_title('TensorMesh')
|
||||
rM.plotGrid(ax=axes[1], **opts)
|
||||
axes[1].set_title('CurvilinearMesh')
|
||||
for i in range(2):
|
||||
axes[i].set_xlim(0.025, 0.975)
|
||||
axes[i].set_ylim(0.025, 0.975)
|
||||
axes[i].text(0., 1.0, label[i], fontsize=20)
|
||||
if i==0:
|
||||
axes[i].set_ylabel("y")
|
||||
else:
|
||||
axes[i].set_ylabel(" ")
|
||||
axes[i].set_xlabel("x")
|
||||
plt.show()
|
||||
|
||||
|
||||
@@ -1,7 +1,7 @@
|
||||
from SimPEG import *
|
||||
|
||||
|
||||
def run(N=100, plotIt=True):
|
||||
def run(N=200, plotIt=True):
|
||||
"""
|
||||
Inversion: Linear Problem
|
||||
=========================
|
||||
@@ -18,8 +18,6 @@ def run(N=100, plotIt=True):
|
||||
mesh = Mesh.TensorMesh([N])
|
||||
|
||||
m0 = np.ones(mesh.nC) * 1e-4
|
||||
mref = np.zeros(mesh.nC)
|
||||
|
||||
nk = 10
|
||||
jk = np.linspace(1.,nk,nk)
|
||||
p = -2.
|
||||
@@ -52,47 +50,57 @@ def run(N=100, plotIt=True):
|
||||
wr = np.sum(prob.G**2.,axis=0)**0.5
|
||||
wr = ( wr/np.max(wr) )
|
||||
|
||||
# reg = Regularization.Simple(mesh)
|
||||
# reg.mref = mref
|
||||
# reg.cell_weights = wr
|
||||
#
|
||||
reg = Regularization.Simple(mesh)
|
||||
reg.wght = wr
|
||||
|
||||
dmis = DataMisfit.l2_DataMisfit(survey)
|
||||
dmis.Wd = 1./wd
|
||||
#
|
||||
# opt = Optimization.ProjectedGNCG(maxIter=20,lower=-2.,upper=2., maxIterCG= 10, tolCG = 1e-4)
|
||||
# invProb = InvProblem.BaseInvProblem(dmis, reg, opt)
|
||||
# invProb.curModel = m0
|
||||
#
|
||||
# beta = Directives.BetaSchedule(coolingFactor=2, coolingRate=1)
|
||||
# target = Directives.TargetMisfit()
|
||||
#
|
||||
|
||||
opt = Optimization.ProjectedGNCG(maxIter=30,lower=-2.,upper=2., maxIterCG= 20, tolCG = 1e-4)
|
||||
invProb = InvProblem.BaseInvProblem(dmis, reg, opt)
|
||||
invProb.curModel = m0
|
||||
|
||||
beta = Directives.BetaSchedule(coolingFactor=2, coolingRate=1)
|
||||
target = Directives.TargetMisfit()
|
||||
|
||||
betaest = Directives.BetaEstimate_ByEig()
|
||||
# inv = Inversion.BaseInversion(invProb, directiveList=[beta, betaest, target])
|
||||
#
|
||||
#
|
||||
# mrec = inv.run(m0)
|
||||
# ml2 = mrec
|
||||
# print "Final misfit:" + str(invProb.dmisfit.eval(mrec))
|
||||
#
|
||||
# # Switch regularization to sparse
|
||||
# phim = invProb.phi_m_last
|
||||
# phid = invProb.phi_d
|
||||
inv = Inversion.BaseInversion(invProb, directiveList=[beta, betaest, target])
|
||||
|
||||
|
||||
mrec = inv.run(m0)
|
||||
ml2 = mrec
|
||||
print "Final misfit:" + str(invProb.dmisfit.eval(mrec))
|
||||
|
||||
# Switch regularization to sparse
|
||||
phim = invProb.phi_m_last
|
||||
phid = invProb.phi_d
|
||||
|
||||
reg = Regularization.Sparse(mesh)
|
||||
reg.mref = mref
|
||||
reg.cell_weights = wr
|
||||
|
||||
#==============================================================================
|
||||
# fig, axes = plt.subplots(1,2,figsize=(12*1.2,4*1.2))
|
||||
# dmdx = reg.mesh.cellDiffxStencil * mrec
|
||||
# plt.plot(np.sort(dmdx))
|
||||
#==============================================================================
|
||||
|
||||
#reg.recModel = mrec
|
||||
reg.wght = np.ones(mesh.nC)
|
||||
reg.mref = np.zeros(mesh.nC)
|
||||
eps_p = 5e-2
|
||||
eps_q = 5e-2
|
||||
norms = [0., 0., 2., 2.]
|
||||
reg.eps_p = 5e-2
|
||||
reg.eps_q = 1e-2
|
||||
reg.norms = [0., 0., 2., 2.]
|
||||
reg.wght = wr
|
||||
|
||||
opt = Optimization.ProjectedGNCG(maxIter=100 ,lower=-2.,upper=2., maxIterLS = 20, maxIterCG= 10, tolCG = 1e-3)
|
||||
invProb = InvProblem.BaseInvProblem(dmis, reg, opt)
|
||||
update_Jacobi = Directives.Update_lin_PreCond()
|
||||
IRLS = Directives.Update_IRLS( norms=norms, eps_p=eps_p, eps_q=eps_q)
|
||||
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()
|
||||
target = Directives.TargetMisfit()
|
||||
IRLS =Directives.Update_IRLS( phi_m_last = phim, phi_d_last = phid )
|
||||
|
||||
inv = Inversion.BaseInversion(invProb, directiveList=[IRLS,betaest,update_Jacobi])
|
||||
inv = Inversion.BaseInversion(invProb, directiveList=[beta,IRLS])
|
||||
|
||||
m0 = mrec
|
||||
|
||||
# Run inversion
|
||||
mrec = inv.run(m0)
|
||||
@@ -109,7 +117,7 @@ def run(N=100, plotIt=True):
|
||||
axes[0].set_title('Columns of matrix G')
|
||||
|
||||
axes[1].plot(mesh.vectorCCx, mtrue, 'b-')
|
||||
axes[1].plot(mesh.vectorCCx, reg.l2model, 'r-')
|
||||
axes[1].plot(mesh.vectorCCx, ml2, 'r-')
|
||||
#axes[1].legend(('True Model', 'Recovered Model'))
|
||||
axes[1].set_ylim(-1.0,1.25)
|
||||
|
||||
|
||||
@@ -1,41 +0,0 @@
|
||||
from SimPEG import *
|
||||
from SimPEG.Utils import surface2ind_topo
|
||||
|
||||
|
||||
def run(plotIt=False, nx = 5, ny = 5):
|
||||
"""
|
||||
Here we show how to use :code:`Utils.surface2ind_topo` to identify cells below
|
||||
a topographic surface.
|
||||
|
||||
"""
|
||||
|
||||
mesh = Mesh.TensorMesh([nx,ny], x0='CC') # 2D mesh
|
||||
xtopo = np.linspace(mesh.gridN[:,0].min(), mesh.gridN[:,0].max())
|
||||
topo = 0.4*np.sin(xtopo*5) # define a topographic surface
|
||||
|
||||
Topo = np.hstack([Utils.mkvc(xtopo,2),Utils.mkvc(topo,2)]) #make it an array
|
||||
|
||||
indcc = surface2ind_topo(mesh, Topo,'CC')
|
||||
|
||||
if plotIt:
|
||||
from matplotlib.pylab import plt
|
||||
from scipy.interpolate import interp1d
|
||||
fig, ax = plt.subplots(1,1,figsize=(6,6))
|
||||
mesh.plotGrid(ax=ax, nodes=True, centers=True)
|
||||
ax.plot(xtopo,topo,'k',linewidth=1)
|
||||
# ax.plot(mesh.vectorNx, interp1d(xtopo,topo)(mesh.vectorNx),'--k',linewidth=3)
|
||||
ax.plot(mesh.vectorCCx, interp1d(xtopo,topo)(mesh.vectorCCx),'--k',linewidth=3)
|
||||
|
||||
|
||||
aveN2CC = Utils.sdiag(mesh.aveN2CC.T.sum(1))*mesh.aveN2CC.T
|
||||
a = aveN2CC * indcc
|
||||
a[a > 0] = 1.
|
||||
a[a < 0.25] = np.nan
|
||||
a = a.reshape(mesh.vnN, order='F')
|
||||
masked_array = np.ma.array(a, mask=np.isnan(a))
|
||||
ax.pcolor(mesh.vectorNx,mesh.vectorNy,masked_array.T, cmap = plt.cm.gray,alpha=0.2)
|
||||
plt.show()
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
run(plotIt=True)
|
||||
@@ -8,9 +8,9 @@ import EM_FDEM_Analytic_MagDipoleWholespace
|
||||
import EM_Schenkel_Morrison_Casing
|
||||
import EM_TDEM_1D_Inversion
|
||||
import FLOW_Richards_1D_Celia1990
|
||||
import Forward_BasicDirectCurrent
|
||||
import Inversion_IRLS
|
||||
import Inversion_Linear
|
||||
import Mesh_Basic_ForwardDC
|
||||
import Mesh_Basic_PlotImage
|
||||
import Mesh_Basic_Types
|
||||
import Mesh_Operators_CahnHilliard
|
||||
@@ -20,9 +20,8 @@ import Mesh_QuadTree_HangingNodes
|
||||
import Mesh_Tensor_Creation
|
||||
import MT_1D_ForwardAndInversion
|
||||
import MT_3D_Foward
|
||||
import Utils_surface2ind_topo
|
||||
|
||||
__examples__ = ["DC_Analytic_Dipole", "DC_Forward_PseudoSection", "EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_Schenkel_Morrison_Casing", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Inversion_IRLS", "Inversion_Linear", "Mesh_Basic_ForwardDC", "Mesh_Basic_PlotImage", "Mesh_Basic_Types", "Mesh_Operators_CahnHilliard", "Mesh_QuadTree_Creation", "Mesh_QuadTree_FaceDiv", "Mesh_QuadTree_HangingNodes", "Mesh_Tensor_Creation", "MT_1D_ForwardAndInversion", "MT_3D_Foward", "Utils_surface2ind_topo"]
|
||||
__examples__ = ["DC_Analytic_Dipole", "DC_Forward_PseudoSection", "EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_Schenkel_Morrison_Casing", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Forward_BasicDirectCurrent", "Inversion_IRLS", "Inversion_Linear", "Mesh_Basic_PlotImage", "Mesh_Basic_Types", "Mesh_Operators_CahnHilliard", "Mesh_QuadTree_Creation", "Mesh_QuadTree_FaceDiv", "Mesh_QuadTree_HangingNodes", "Mesh_Tensor_Creation", "MT_1D_ForwardAndInversion", "MT_3D_Foward"]
|
||||
|
||||
##### AUTOIMPORTS #####
|
||||
|
||||
|
||||
@@ -1,157 +0,0 @@
|
||||
from SimPEG import np, Mesh, Maps, Utils, DataMisfit, Regularization, Optimization, Inversion, InvProblem, Directives
|
||||
from SimPEG import SolverLU
|
||||
from SimPEG.EM import FDEM, TDEM, mu_0
|
||||
import matplotlib.pyplot as plt
|
||||
import matplotlib
|
||||
matplotlib.rcParams['font.size'] = 14
|
||||
|
||||
def run(plotIt=True):
|
||||
# Set up cylindrically symmeric mesh
|
||||
cs, ncx, ncz, npad = 10., 15, 25, 13 # padded cyl mesh
|
||||
hx = [(cs,ncx), (cs,npad,1.3)]
|
||||
hz = [(cs,npad,-1.3), (cs,ncz), (cs,npad,1.3)]
|
||||
mesh = Mesh.CylMesh([hx,1,hz], '00C')
|
||||
|
||||
# Conductivity model
|
||||
layerz = np.r_[-200., -100.]
|
||||
layer = (mesh.vectorCCz>=layerz[0]) & (mesh.vectorCCz<=layerz[1])
|
||||
active = mesh.vectorCCz<0.
|
||||
sig_half = 1e-2 # Half-space conductivity
|
||||
sig_air = 1e-8 # Air conductivity
|
||||
sig_layer = 5e-2 # Layer conductivity
|
||||
sigma = np.ones(mesh.nCz)*sig_air
|
||||
sigma[active] = sig_half
|
||||
sigma[layer] = sig_layer
|
||||
|
||||
# Mapping
|
||||
actMap = Maps.InjectActiveCells(mesh, active, np.log(1e-8), nC=mesh.nCz)
|
||||
mapping = Maps.ExpMap(mesh) * Maps.SurjectVertical1D(mesh) * actMap
|
||||
mtrue = np.log(sigma[active])
|
||||
|
||||
# FDEM problem & survey
|
||||
rxlocs = Utils.ndgrid([np.r_[50.], np.r_[0], np.r_[0.]])
|
||||
bzi = FDEM.Rx.Point_bSecondary(rxlocs, 'z', 'real')
|
||||
bzr = FDEM.Rx.Point_bSecondary(rxlocs, 'z', 'imag')
|
||||
|
||||
freqs = np.logspace(2, 3, 5)
|
||||
srcLoc = np.array([0., 0., 0.])
|
||||
|
||||
print 'min skin depth = ', 500./np.sqrt(freqs.max() * sig_half), 'max skin depth = ', 500./np.sqrt(freqs.min() * sig_half)
|
||||
print 'max x ', mesh.vectorCCx.max(), 'min z ', mesh.vectorCCz.min(), 'max z ', mesh.vectorCCz.max()
|
||||
|
||||
srcList = []
|
||||
[srcList.append(FDEM.Src.MagDipole([bzr, bzi],freq, srcLoc,orientation='Z')) for freq in freqs]
|
||||
|
||||
surveyFD = FDEM.Survey(srcList)
|
||||
prbFD = FDEM.Problem3D_b(mesh, mapping=mapping)
|
||||
prbFD.pair(surveyFD)
|
||||
std = 0.03
|
||||
surveyFD.makeSyntheticData(mtrue, std)
|
||||
surveyFD.eps = np.linalg.norm(surveyFD.dtrue)*1e-5
|
||||
|
||||
# FDEM inversion
|
||||
np.random.seed(1)
|
||||
dmisfit = DataMisfit.l2_DataMisfit(surveyFD)
|
||||
regMesh = Mesh.TensorMesh([mesh.hz[mapping.maps[-1].indActive]])
|
||||
reg = Regularization.Simple(regMesh)
|
||||
opt = Optimization.InexactGaussNewton(maxIterCG=10, maxIter=4)
|
||||
invProb = InvProblem.BaseInvProblem(dmisfit, reg, opt)
|
||||
# Inversion Directives
|
||||
beta = Directives.BetaSchedule(coolingFactor=5, coolingRate=3)
|
||||
# betaest = Directives.BetaEstimate_ByEig(beta0_ratio=10.)
|
||||
invProb.beta = 1.
|
||||
target = Directives.TargetMisfit()
|
||||
|
||||
inv = Inversion.BaseInversion(invProb, directiveList=[beta,target])
|
||||
m0 = np.log(np.ones(mtrue.size)*sig_half)
|
||||
reg.alpha_s = 5e-1
|
||||
reg.alpha_x = 1.
|
||||
prbFD.counter = opt.counter = Utils.Counter()
|
||||
opt.LSshorten = 0.5
|
||||
opt.tolG = 1e-10
|
||||
opt.eps = 1e-10
|
||||
opt.remember('xc')
|
||||
moptFD = inv.run(m0)
|
||||
|
||||
# TDEM problem
|
||||
times = np.logspace(-4, np.log10(2e-3), 10)
|
||||
print 'min diffusion distance ', 1.28*np.sqrt(times.min()/(sig_half*mu_0)), 'max diffusion distance ', 1.28*np.sqrt(times.max()/(sig_half*mu_0))
|
||||
rx = TDEM.Rx(rxlocs, times, 'bz')
|
||||
src = TDEM.Src.MagDipole([rx], waveform=TDEM.Src.StepOffWaveform(), loc=srcLoc) # same src location as FDEM problem
|
||||
|
||||
surveyTD = TDEM.Survey([src])
|
||||
prbTD = TDEM.Problem_b(mesh, mapping=mapping)
|
||||
prbTD.timeSteps = [(5e-5, 10),(1e-4, 10),(5e-4, 10)]
|
||||
prbTD.pair(surveyTD)
|
||||
prbTD.Solver = SolverLU
|
||||
|
||||
std = 0.03
|
||||
surveyTD.makeSyntheticData(mtrue, std)
|
||||
surveyTD.std = std
|
||||
surveyTD.eps = np.linalg.norm(surveyTD.dtrue)*1e-5
|
||||
|
||||
# TDEM inversion
|
||||
dmisfit = DataMisfit.l2_DataMisfit(surveyTD)
|
||||
regMesh = Mesh.TensorMesh([mesh.hz[mapping.maps[-1].indActive]])
|
||||
reg = Regularization.Simple(regMesh)
|
||||
opt = Optimization.InexactGaussNewton(maxIterCG=10, maxIter=4)
|
||||
invProb = InvProblem.BaseInvProblem(dmisfit, reg, opt)
|
||||
|
||||
# Inversion Directives
|
||||
beta = Directives.BetaSchedule(coolingFactor=5, coolingRate=3)
|
||||
invProb.beta = 1.
|
||||
# betaest = Directives.BetaEstimate_ByEig(beta0_ratio=1.)
|
||||
target = Directives.TargetMisfit()
|
||||
|
||||
inv = Inversion.BaseInversion(invProb, directiveList=[beta, target])
|
||||
m0 = np.log(np.ones(mtrue.size)*sig_half)
|
||||
reg.alpha_s = 5e-1
|
||||
reg.alpha_x = 1.
|
||||
prbTD.counter = opt.counter = Utils.Counter()
|
||||
opt.LSshorten = 0.5
|
||||
opt.remember('xc')
|
||||
moptTD = inv.run(m0)
|
||||
|
||||
if plotIt:
|
||||
fig, ax = plt.subplots(1,1, figsize = (4, 6))
|
||||
plt.semilogx(sigma[active], mesh.vectorCCz[active], 'k-', lw=2)
|
||||
plt.semilogx(np.exp(moptFD), mesh.vectorCCz[active], 'ko', ms=3)
|
||||
plt.semilogx(np.exp(moptTD), mesh.vectorCCz[active], 'k*')
|
||||
ax.set_ylim(-1000, 0)
|
||||
ax.set_xlim(5e-3, 1e-1)
|
||||
|
||||
ax.set_xlabel('Conductivity (S/m)', fontsize = 14)
|
||||
ax.set_ylabel('Depth (m)', fontsize = 14)
|
||||
ax.grid(color='k', alpha=0.5, linestyle='dashed', linewidth=0.5)
|
||||
plt.legend(['True', 'Pred (FD)', 'Pred (TD)'], fontsize=13, loc=4)
|
||||
plt.show()
|
||||
|
||||
fig = plt.figure(figsize = (10*1.3, 5*1.3))
|
||||
ax2 = plt.subplot(122)
|
||||
ax2.plot(times, surveyTD.dobs, 'k-', lw=2)
|
||||
ax2.plot(times, surveyTD.dpred(moptTD), 'ko', ms=4)
|
||||
ax2.set_xscale('log')
|
||||
ax2.set_yscale('log')
|
||||
ax2.set_xlim(times.min(), times.max())
|
||||
ax1 = plt.subplot(121)
|
||||
ax1.plot(freqs, -surveyFD.dobs[::2], 'k-', lw=2)
|
||||
ax1.plot(freqs, -surveyFD.dobs[1::2], 'k--', lw=2)
|
||||
dpredFD = surveyFD.dpred(moptTD)
|
||||
ax1.plot(freqs, -dpredFD[::2], 'ko', ms=4)
|
||||
ax1.plot(freqs, -dpredFD[1::2], 'k+', markeredgewidth=2., ms=10)
|
||||
ax1.set_xscale('log')
|
||||
ax1.set_yscale('log')
|
||||
ax2.set_xlabel('Time (s)', fontsize = 14)
|
||||
ax1.set_xlabel('Frequency (Hz)', fontsize = 14)
|
||||
ax1.set_ylabel('Vertical magnetic field (T)', fontsize = 14)
|
||||
ax2.grid(True,which='minor')
|
||||
ax1.grid(True,which='minor')
|
||||
ax2.set_title("(b) TD observed vs. predicted", fontsize = 14)
|
||||
ax1.set_title("(a) FD observed vs. predicted", fontsize = 14)
|
||||
ax2.legend(("Obs", "Pred"), fontsize = 12)
|
||||
ax1.legend(("Obs", "Pred (real)", "Pred (imag)"), fontsize = 12, loc=3)
|
||||
ax1.set_xlim(freqs.max(), freqs.min())
|
||||
plt.show()
|
||||
|
||||
if __name__ == '__main__':
|
||||
run()
|
||||
+1
-1
@@ -1,5 +1,5 @@
|
||||
from SimPEG import SolverLU as SimpegSolver, PropMaps, Utils, mkvc, sp, np
|
||||
from SimPEG.EM.FDEM.ProblemFDEM import BaseFDEMProblem
|
||||
from SimPEG.EM.FDEM.FDEM import BaseFDEMProblem
|
||||
from SurveyMT import Survey, Data
|
||||
from FieldsMT import BaseMTFields
|
||||
|
||||
|
||||
@@ -533,6 +533,83 @@ class ActiveCells(InjectActiveCells):
|
||||
FutureWarning)
|
||||
InjectActiveCells.__init__(self, mesh, indActive, valInactive, nC)
|
||||
|
||||
class InjectActiveCellsTopo(IdentityMap):
|
||||
"""
|
||||
Active model parameters. Extend for cells on topography to air cell (only works for tensor mesh)
|
||||
|
||||
"""
|
||||
|
||||
indActive = None #: Active Cells
|
||||
valInactive = None #: Values of inactive Cells
|
||||
nC = None #: Number of cells in the full model
|
||||
|
||||
def __init__(self, mesh, indActive, nC=None):
|
||||
self.mesh = mesh
|
||||
|
||||
self.nC = nC or mesh.nC
|
||||
|
||||
if indActive.dtype is not bool:
|
||||
z = np.zeros(self.nC,dtype=bool)
|
||||
z[indActive] = True
|
||||
indActive = z
|
||||
self.indActive = indActive
|
||||
|
||||
self.indInactive = np.logical_not(indActive)
|
||||
inds = np.nonzero(self.indActive)[0]
|
||||
self.P = sp.csr_matrix((np.ones(inds.size),(inds, range(inds.size))), shape=(self.nC, self.nP))
|
||||
|
||||
@property
|
||||
def shape(self):
|
||||
return (self.nC, self.nP)
|
||||
|
||||
@property
|
||||
def nP(self):
|
||||
"""Number of parameters in the model."""
|
||||
return self.indActive.sum()
|
||||
|
||||
def _transform(self, m):
|
||||
val_temp = np.zeros(self.mesh.nC)
|
||||
val_temp[self.indActive] = m
|
||||
valInactive = np.zeros(self.mesh.nC)
|
||||
#1D
|
||||
if self.mesh.dim == 1:
|
||||
z_temp = self.mesh.gridCC
|
||||
val_temp[~self.indActive] = val_temp[np.argmax(z_temp[self.indActive])]
|
||||
#2D
|
||||
elif self.mesh.dim == 2:
|
||||
act_temp = self.indActive.reshape((self.mesh.nCx, self.mesh.nCy), order = 'F')
|
||||
val_temp = val_temp.reshape((self.mesh.nCx, self.mesh.nCy), order = 'F')
|
||||
y_temp = self.mesh.gridCC[:,1].reshape((self.mesh.nCx, self.mesh.nCy), order = 'F')
|
||||
for i in range(self.mesh.nCx):
|
||||
act_tempx = act_temp[i,:] == 1
|
||||
val_temp[i,~act_tempx] = val_temp[i,np.argmax(y_temp[i,act_tempx])]
|
||||
valInactive[~self.indActive] = Utils.mkvc(val_temp)[~self.indActive]
|
||||
#3D
|
||||
elif self.mesh.dim == 3:
|
||||
act_temp = self.indActive.reshape((self.mesh.nCx*self.mesh.nCy, self.mesh.nCz), order = 'F')
|
||||
val_temp = val_temp.reshape((self.mesh.nCx*self.mesh.nCy, self.mesh.nCz), order = 'F')
|
||||
z_temp = self.mesh.gridCC[:,2].reshape((self.mesh.nCx*self.mesh.nCy, self.mesh.nCz), order = 'F')
|
||||
for i in range(self.mesh.nCx*self.mesh.nCy):
|
||||
act_tempxy = act_temp[i,:] == 1
|
||||
val_temp[i,~act_tempxy] = val_temp[i,np.argmax(z_temp[i,act_tempxy])]
|
||||
valInactive[~self.indActive] = Utils.mkvc(val_temp)[~self.indActive]
|
||||
|
||||
self.valInactive = valInactive
|
||||
|
||||
return self.P*m + self.valInactive
|
||||
|
||||
def inverse(self, D):
|
||||
return self.P.T*D
|
||||
|
||||
def deriv(self, m):
|
||||
return self.P
|
||||
|
||||
class ActiveCellsTopo(InjectActiveCellsTopo):
|
||||
def __init__(self, mesh, indActive, valInactive, nC=None):
|
||||
warnings.warn(
|
||||
"`ActiveCellsTopo` is deprecated and will be removed in future versions. Use `InjectActiveCellsTopo` instead",
|
||||
FutureWarning)
|
||||
InjectActiveCellsTopo.__init__(self, mesh, indActive, valInactive, nC)
|
||||
|
||||
class Weighting(IdentityMap):
|
||||
"""
|
||||
|
||||
@@ -2,7 +2,6 @@ from SimPEG import Utils, np
|
||||
from BaseMesh import BaseRectangularMesh
|
||||
from DiffOperators import DiffOperators
|
||||
from InnerProducts import InnerProducts
|
||||
from View import CurvView
|
||||
|
||||
# Some helper functions.
|
||||
length2D = lambda x: (x[:, 0]**2 + x[:, 1]**2)**0.5
|
||||
@@ -11,7 +10,7 @@ normalize2D = lambda x: x/np.kron(np.ones((1, 2)), Utils.mkvc(length2D(x), 2))
|
||||
normalize3D = lambda x: x/np.kron(np.ones((1, 3)), Utils.mkvc(length3D(x), 2))
|
||||
|
||||
|
||||
class CurvilinearMesh(BaseRectangularMesh, DiffOperators, InnerProducts, CurvView):
|
||||
class CurvilinearMesh(BaseRectangularMesh, DiffOperators, InnerProducts):
|
||||
"""
|
||||
CurvilinearMesh is a mesh class that deals with curvilinear meshes.
|
||||
|
||||
@@ -331,6 +330,102 @@ class CurvilinearMesh(BaseRectangularMesh, DiffOperators, InnerProducts, CurvVie
|
||||
|
||||
|
||||
|
||||
#############################################
|
||||
# Plotting Functions #
|
||||
#############################################
|
||||
|
||||
def plotGrid(self, ax=None, nodes=False, faces=False, centers=False, edges=False, lines=True, showIt=False):
|
||||
"""Plot the nodal, cell-centered and staggered grids for 1,2 and 3 dimensions.
|
||||
|
||||
|
||||
.. plot::
|
||||
:include-source:
|
||||
|
||||
from SimPEG import Mesh, Utils
|
||||
X, Y = Utils.exampleLrmGrid([3,3],'rotate')
|
||||
M = Mesh.CurvilinearMesh([X, Y])
|
||||
M.plotGrid(showIt=True)
|
||||
|
||||
"""
|
||||
import matplotlib.pyplot as plt
|
||||
import matplotlib
|
||||
from mpl_toolkits.mplot3d import Axes3D
|
||||
mkvc = Utils.mkvc
|
||||
|
||||
axOpts = {'projection':'3d'} if self.dim == 3 else {}
|
||||
if ax is None: ax = plt.subplot(111, **axOpts)
|
||||
|
||||
NN = self.r(self.gridN, 'N', 'N', 'M')
|
||||
if self.dim == 2:
|
||||
|
||||
if lines:
|
||||
X1 = np.c_[mkvc(NN[0][:-1, :]), mkvc(NN[0][1:, :]), mkvc(NN[0][:-1, :])*np.nan].flatten()
|
||||
Y1 = np.c_[mkvc(NN[1][:-1, :]), mkvc(NN[1][1:, :]), mkvc(NN[1][:-1, :])*np.nan].flatten()
|
||||
|
||||
X2 = np.c_[mkvc(NN[0][:, :-1]), mkvc(NN[0][:, 1:]), mkvc(NN[0][:, :-1])*np.nan].flatten()
|
||||
Y2 = np.c_[mkvc(NN[1][:, :-1]), mkvc(NN[1][:, 1:]), mkvc(NN[1][:, :-1])*np.nan].flatten()
|
||||
|
||||
X = np.r_[X1, X2]
|
||||
Y = np.r_[Y1, Y2]
|
||||
|
||||
ax.plot(X, Y, 'b-')
|
||||
if centers:
|
||||
ax.plot(self.gridCC[:,0],self.gridCC[:,1],'ro')
|
||||
|
||||
# Nx = self.r(self.normals, 'F', 'Fx', 'V')
|
||||
# Ny = self.r(self.normals, 'F', 'Fy', 'V')
|
||||
# Tx = self.r(self.tangents, 'E', 'Ex', 'V')
|
||||
# Ty = self.r(self.tangents, 'E', 'Ey', 'V')
|
||||
|
||||
# ax.plot(self.gridN[:, 0], self.gridN[:, 1], 'bo')
|
||||
|
||||
# nX = np.c_[self.gridFx[:, 0], self.gridFx[:, 0] + Nx[0]*length, self.gridFx[:, 0]*np.nan].flatten()
|
||||
# nY = np.c_[self.gridFx[:, 1], self.gridFx[:, 1] + Nx[1]*length, self.gridFx[:, 1]*np.nan].flatten()
|
||||
# ax.plot(self.gridFx[:, 0], self.gridFx[:, 1], 'rs')
|
||||
# ax.plot(nX, nY, 'r-')
|
||||
|
||||
# nX = np.c_[self.gridFy[:, 0], self.gridFy[:, 0] + Ny[0]*length, self.gridFy[:, 0]*np.nan].flatten()
|
||||
# nY = np.c_[self.gridFy[:, 1], self.gridFy[:, 1] + Ny[1]*length, self.gridFy[:, 1]*np.nan].flatten()
|
||||
# #ax.plot(self.gridFy[:, 0], self.gridFy[:, 1], 'gs')
|
||||
# ax.plot(nX, nY, 'g-')
|
||||
|
||||
# tX = np.c_[self.gridEx[:, 0], self.gridEx[:, 0] + Tx[0]*length, self.gridEx[:, 0]*np.nan].flatten()
|
||||
# tY = np.c_[self.gridEx[:, 1], self.gridEx[:, 1] + Tx[1]*length, self.gridEx[:, 1]*np.nan].flatten()
|
||||
# ax.plot(self.gridEx[:, 0], self.gridEx[:, 1], 'r^')
|
||||
# ax.plot(tX, tY, 'r-')
|
||||
|
||||
# nX = np.c_[self.gridEy[:, 0], self.gridEy[:, 0] + Ty[0]*length, self.gridEy[:, 0]*np.nan].flatten()
|
||||
# nY = np.c_[self.gridEy[:, 1], self.gridEy[:, 1] + Ty[1]*length, self.gridEy[:, 1]*np.nan].flatten()
|
||||
# #ax.plot(self.gridEy[:, 0], self.gridEy[:, 1], 'g^')
|
||||
# ax.plot(nX, nY, 'g-')
|
||||
|
||||
elif self.dim == 3:
|
||||
X1 = np.c_[mkvc(NN[0][:-1, :, :]), mkvc(NN[0][1:, :, :]), mkvc(NN[0][:-1, :, :])*np.nan].flatten()
|
||||
Y1 = np.c_[mkvc(NN[1][:-1, :, :]), mkvc(NN[1][1:, :, :]), mkvc(NN[1][:-1, :, :])*np.nan].flatten()
|
||||
Z1 = np.c_[mkvc(NN[2][:-1, :, :]), mkvc(NN[2][1:, :, :]), mkvc(NN[2][:-1, :, :])*np.nan].flatten()
|
||||
|
||||
X2 = np.c_[mkvc(NN[0][:, :-1, :]), mkvc(NN[0][:, 1:, :]), mkvc(NN[0][:, :-1, :])*np.nan].flatten()
|
||||
Y2 = np.c_[mkvc(NN[1][:, :-1, :]), mkvc(NN[1][:, 1:, :]), mkvc(NN[1][:, :-1, :])*np.nan].flatten()
|
||||
Z2 = np.c_[mkvc(NN[2][:, :-1, :]), mkvc(NN[2][:, 1:, :]), mkvc(NN[2][:, :-1, :])*np.nan].flatten()
|
||||
|
||||
X3 = np.c_[mkvc(NN[0][:, :, :-1]), mkvc(NN[0][:, :, 1:]), mkvc(NN[0][:, :, :-1])*np.nan].flatten()
|
||||
Y3 = np.c_[mkvc(NN[1][:, :, :-1]), mkvc(NN[1][:, :, 1:]), mkvc(NN[1][:, :, :-1])*np.nan].flatten()
|
||||
Z3 = np.c_[mkvc(NN[2][:, :, :-1]), mkvc(NN[2][:, :, 1:]), mkvc(NN[2][:, :, :-1])*np.nan].flatten()
|
||||
|
||||
X = np.r_[X1, X2, X3]
|
||||
Y = np.r_[Y1, Y2, Y3]
|
||||
Z = np.r_[Z1, Z2, Z3]
|
||||
|
||||
ax.plot(X, Y, 'b', zs=Z)
|
||||
ax.set_zlabel('x3')
|
||||
|
||||
ax.grid(True)
|
||||
ax.set_xlabel('x1')
|
||||
ax.set_ylabel('x2')
|
||||
|
||||
if showIt: plt.show()
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
nc = 5
|
||||
h1 = np.cumsum(np.r_[0, np.ones(nc)/(nc)])
|
||||
|
||||
+9
-12
@@ -330,7 +330,7 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
|
||||
raise NotImplementedError('wrapping in the averaging is not yet implemented')
|
||||
return self._aveF2CCV
|
||||
|
||||
def getInterpolationMatCartMesh(self, Mrect, locType='CC', locTypeTo=None):
|
||||
def getInterpolationMatCartMesh(self, Mrect, locType='CC'):
|
||||
"""
|
||||
Takes a cartesian mesh and returns a projection to translate onto the cartesian grid.
|
||||
"""
|
||||
@@ -338,22 +338,19 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
|
||||
assert self.isSymmetric, "Currently we have not taken into account other projections for more complicated CylMeshes"
|
||||
|
||||
|
||||
if locTypeTo is None:
|
||||
locTypeTo = locType
|
||||
|
||||
if locType == 'F':
|
||||
# do this three times for each component
|
||||
X = self.getInterpolationMatCartMesh(Mrect, locType='Fx', locTypeTo=locTypeTo+'x')
|
||||
Y = self.getInterpolationMatCartMesh(Mrect, locType='Fy', locTypeTo=locTypeTo+'y')
|
||||
Z = self.getInterpolationMatCartMesh(Mrect, locType='Fz', locTypeTo=locTypeTo+'z')
|
||||
X = self.getInterpolationMatCartMesh(Mrect, locType='Fx')
|
||||
Y = self.getInterpolationMatCartMesh(Mrect, locType='Fy')
|
||||
Z = self.getInterpolationMatCartMesh(Mrect, locType='Fz')
|
||||
return sp.vstack((X,Y,Z))
|
||||
if locType == 'E':
|
||||
X = self.getInterpolationMatCartMesh(Mrect, locType='Ex', locTypeTo=locTypeTo+'x')
|
||||
Y = self.getInterpolationMatCartMesh(Mrect, locType='Ey', locTypeTo=locTypeTo+'y')
|
||||
Z = spzeros(getattr(Mrect, 'n' + locTypeTo + 'z'), self.nE)
|
||||
X = self.getInterpolationMatCartMesh(Mrect, locType='Ex')
|
||||
Y = self.getInterpolationMatCartMesh(Mrect, locType='Ey')
|
||||
Z = spzeros(Mrect.nEz, self.nE)
|
||||
return sp.vstack((X,Y,Z))
|
||||
|
||||
grid = getattr(Mrect, 'grid' + locTypeTo)
|
||||
grid = getattr(Mrect, 'grid' + locType)
|
||||
# This is unit circle stuff, 0 to 2*pi, starting at x-axis, rotating counter clockwise in an x-y slice
|
||||
theta = - np.arctan2(grid[:,0] - self.cartesianOrigin[0], grid[:,1] - self.cartesianOrigin[1]) + np.pi/2
|
||||
theta[theta < 0] += np.pi*2.0
|
||||
@@ -369,7 +366,7 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
|
||||
'Ex': Mrect.tangents[:Mrect.nEx,:],
|
||||
'Ey': Mrect.tangents[Mrect.nEx:(Mrect.nEx+Mrect.nEy),:],
|
||||
'Ez': Mrect.tangents[-Mrect.nEz:,:],
|
||||
}[locTypeTo]
|
||||
}[locType]
|
||||
if 'F' in locType:
|
||||
normals = np.c_[np.cos(theta), np.sin(theta), np.zeros(theta.size)]
|
||||
proj = ( normals * dotMe ).sum(axis=1)
|
||||
|
||||
@@ -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
|
||||
|
||||
+41
-79
@@ -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)
|
||||
@@ -552,8 +552,7 @@ class CurvView(object):
|
||||
def __init__(self):
|
||||
pass
|
||||
|
||||
|
||||
def plotGrid(self, ax=None, nodes=False, faces=False, centers=False, edges=False, lines=True, showIt=False):
|
||||
def plotGrid(self, length=0.05, showIt=False):
|
||||
"""Plot the nodal, cell-centered and staggered grids for 1,2 and 3 dimensions.
|
||||
|
||||
|
||||
@@ -561,63 +560,60 @@ class CurvView(object):
|
||||
:include-source:
|
||||
|
||||
from SimPEG import Mesh, Utils
|
||||
X, Y = Utils.exampleLrmGrid([3,3],'rotate')
|
||||
X, Y = Utils.exampleCurvGird([3,3],'rotate')
|
||||
M = Mesh.CurvilinearMesh([X, Y])
|
||||
M.plotGrid(showIt=True)
|
||||
|
||||
"""
|
||||
import matplotlib.pyplot as plt
|
||||
import matplotlib
|
||||
from mpl_toolkits.mplot3d import Axes3D
|
||||
|
||||
axOpts = {'projection':'3d'} if self.dim == 3 else {}
|
||||
if ax is None: ax = plt.subplot(111, **axOpts)
|
||||
|
||||
NN = self.r(self.gridN, 'N', 'N', 'M')
|
||||
if self.dim == 2:
|
||||
fig = plt.figure(2)
|
||||
fig.clf()
|
||||
ax = plt.subplot(111)
|
||||
X1 = np.c_[mkvc(NN[0][:-1, :]), mkvc(NN[0][1:, :]), mkvc(NN[0][:-1, :])*np.nan].flatten()
|
||||
Y1 = np.c_[mkvc(NN[1][:-1, :]), mkvc(NN[1][1:, :]), mkvc(NN[1][:-1, :])*np.nan].flatten()
|
||||
|
||||
if lines:
|
||||
X1 = np.c_[mkvc(NN[0][:-1, :]), mkvc(NN[0][1:, :]), mkvc(NN[0][:-1, :])*np.nan].flatten()
|
||||
Y1 = np.c_[mkvc(NN[1][:-1, :]), mkvc(NN[1][1:, :]), mkvc(NN[1][:-1, :])*np.nan].flatten()
|
||||
X2 = np.c_[mkvc(NN[0][:, :-1]), mkvc(NN[0][:, 1:]), mkvc(NN[0][:, :-1])*np.nan].flatten()
|
||||
Y2 = np.c_[mkvc(NN[1][:, :-1]), mkvc(NN[1][:, 1:]), mkvc(NN[1][:, :-1])*np.nan].flatten()
|
||||
|
||||
X2 = np.c_[mkvc(NN[0][:, :-1]), mkvc(NN[0][:, 1:]), mkvc(NN[0][:, :-1])*np.nan].flatten()
|
||||
Y2 = np.c_[mkvc(NN[1][:, :-1]), mkvc(NN[1][:, 1:]), mkvc(NN[1][:, :-1])*np.nan].flatten()
|
||||
X = np.r_[X1, X2]
|
||||
Y = np.r_[Y1, Y2]
|
||||
|
||||
X = np.r_[X1, X2]
|
||||
Y = np.r_[Y1, Y2]
|
||||
plt.plot(X, Y)
|
||||
|
||||
ax.plot(X, Y, 'b-')
|
||||
if centers:
|
||||
ax.plot(self.gridCC[:,0],self.gridCC[:,1],'ro')
|
||||
plt.hold(True)
|
||||
Nx = self.r(self.normals, 'F', 'Fx', 'V')
|
||||
Ny = self.r(self.normals, 'F', 'Fy', 'V')
|
||||
Tx = self.r(self.tangents, 'E', 'Ex', 'V')
|
||||
Ty = self.r(self.tangents, 'E', 'Ey', 'V')
|
||||
|
||||
# Nx = self.r(self.normals, 'F', 'Fx', 'V')
|
||||
# Ny = self.r(self.normals, 'F', 'Fy', 'V')
|
||||
# Tx = self.r(self.tangents, 'E', 'Ex', 'V')
|
||||
# Ty = self.r(self.tangents, 'E', 'Ey', 'V')
|
||||
plt.plot(self.gridN[:, 0], self.gridN[:, 1], 'bo')
|
||||
|
||||
# ax.plot(self.gridN[:, 0], self.gridN[:, 1], 'bo')
|
||||
nX = np.c_[self.gridFx[:, 0], self.gridFx[:, 0] + Nx[0]*length, self.gridFx[:, 0]*np.nan].flatten()
|
||||
nY = np.c_[self.gridFx[:, 1], self.gridFx[:, 1] + Nx[1]*length, self.gridFx[:, 1]*np.nan].flatten()
|
||||
plt.plot(self.gridFx[:, 0], self.gridFx[:, 1], 'rs')
|
||||
plt.plot(nX, nY, 'r-')
|
||||
|
||||
# nX = np.c_[self.gridFx[:, 0], self.gridFx[:, 0] + Nx[0]*length, self.gridFx[:, 0]*np.nan].flatten()
|
||||
# nY = np.c_[self.gridFx[:, 1], self.gridFx[:, 1] + Nx[1]*length, self.gridFx[:, 1]*np.nan].flatten()
|
||||
# ax.plot(self.gridFx[:, 0], self.gridFx[:, 1], 'rs')
|
||||
# ax.plot(nX, nY, 'r-')
|
||||
nX = np.c_[self.gridFy[:, 0], self.gridFy[:, 0] + Ny[0]*length, self.gridFy[:, 0]*np.nan].flatten()
|
||||
nY = np.c_[self.gridFy[:, 1], self.gridFy[:, 1] + Ny[1]*length, self.gridFy[:, 1]*np.nan].flatten()
|
||||
#plt.plot(self.gridFy[:, 0], self.gridFy[:, 1], 'gs')
|
||||
plt.plot(nX, nY, 'g-')
|
||||
|
||||
# nX = np.c_[self.gridFy[:, 0], self.gridFy[:, 0] + Ny[0]*length, self.gridFy[:, 0]*np.nan].flatten()
|
||||
# nY = np.c_[self.gridFy[:, 1], self.gridFy[:, 1] + Ny[1]*length, self.gridFy[:, 1]*np.nan].flatten()
|
||||
# #ax.plot(self.gridFy[:, 0], self.gridFy[:, 1], 'gs')
|
||||
# ax.plot(nX, nY, 'g-')
|
||||
tX = np.c_[self.gridEx[:, 0], self.gridEx[:, 0] + Tx[0]*length, self.gridEx[:, 0]*np.nan].flatten()
|
||||
tY = np.c_[self.gridEx[:, 1], self.gridEx[:, 1] + Tx[1]*length, self.gridEx[:, 1]*np.nan].flatten()
|
||||
plt.plot(self.gridEx[:, 0], self.gridEx[:, 1], 'r^')
|
||||
plt.plot(tX, tY, 'r-')
|
||||
|
||||
# tX = np.c_[self.gridEx[:, 0], self.gridEx[:, 0] + Tx[0]*length, self.gridEx[:, 0]*np.nan].flatten()
|
||||
# tY = np.c_[self.gridEx[:, 1], self.gridEx[:, 1] + Tx[1]*length, self.gridEx[:, 1]*np.nan].flatten()
|
||||
# ax.plot(self.gridEx[:, 0], self.gridEx[:, 1], 'r^')
|
||||
# ax.plot(tX, tY, 'r-')
|
||||
|
||||
# nX = np.c_[self.gridEy[:, 0], self.gridEy[:, 0] + Ty[0]*length, self.gridEy[:, 0]*np.nan].flatten()
|
||||
# nY = np.c_[self.gridEy[:, 1], self.gridEy[:, 1] + Ty[1]*length, self.gridEy[:, 1]*np.nan].flatten()
|
||||
# #ax.plot(self.gridEy[:, 0], self.gridEy[:, 1], 'g^')
|
||||
# ax.plot(nX, nY, 'g-')
|
||||
nX = np.c_[self.gridEy[:, 0], self.gridEy[:, 0] + Ty[0]*length, self.gridEy[:, 0]*np.nan].flatten()
|
||||
nY = np.c_[self.gridEy[:, 1], self.gridEy[:, 1] + Ty[1]*length, self.gridEy[:, 1]*np.nan].flatten()
|
||||
#plt.plot(self.gridEy[:, 0], self.gridEy[:, 1], 'g^')
|
||||
plt.plot(nX, nY, 'g-')
|
||||
plt.axis('equal')
|
||||
|
||||
elif self.dim == 3:
|
||||
fig = plt.figure(3)
|
||||
fig.clf()
|
||||
ax = fig.add_subplot(111, projection='3d')
|
||||
X1 = np.c_[mkvc(NN[0][:-1, :, :]), mkvc(NN[0][1:, :, :]), mkvc(NN[0][:-1, :, :])*np.nan].flatten()
|
||||
Y1 = np.c_[mkvc(NN[1][:-1, :, :]), mkvc(NN[1][1:, :, :]), mkvc(NN[1][:-1, :, :])*np.nan].flatten()
|
||||
Z1 = np.c_[mkvc(NN[2][:-1, :, :]), mkvc(NN[2][1:, :, :]), mkvc(NN[2][:-1, :, :])*np.nan].flatten()
|
||||
@@ -634,50 +630,16 @@ class CurvView(object):
|
||||
Y = np.r_[Y1, Y2, Y3]
|
||||
Z = np.r_[Z1, Z2, Z3]
|
||||
|
||||
ax.plot(X, Y, 'b', zs=Z)
|
||||
plt.plot(X, Y, 'b', zs=Z)
|
||||
ax.set_zlabel('x3')
|
||||
|
||||
ax.grid(True)
|
||||
ax.hold(False)
|
||||
ax.set_xlabel('x1')
|
||||
ax.set_ylabel('x2')
|
||||
|
||||
if showIt: plt.show()
|
||||
|
||||
def plotImage(self, I, ax=None, showIt=False, grid=False, clim=None):
|
||||
if self.dim == 3: raise NotImplementedError('This is not yet done!')
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import matplotlib
|
||||
from mpl_toolkits.mplot3d import Axes3D
|
||||
import matplotlib.colors as colors
|
||||
import matplotlib.cm as cmx
|
||||
|
||||
if ax is None: ax = plt.subplot(111)
|
||||
jet = cm = plt.get_cmap('jet')
|
||||
cNorm = colors.Normalize(
|
||||
vmin=I.min() if clim is None else clim[0],
|
||||
vmax=I.max() if clim is None else clim[1])
|
||||
|
||||
scalarMap = cmx.ScalarMappable(norm=cNorm, cmap=jet)
|
||||
# ax.set_xlim((self.x0[0], self.h[0].sum()))
|
||||
# ax.set_ylim((self.x0[1], self.h[1].sum()))
|
||||
|
||||
Nx = self.r(self.gridN[:,0],'N','N','M')
|
||||
Ny = self.r(self.gridN[:,1],'N','N','M')
|
||||
cell = self.r(I,'CC','CC','M')
|
||||
|
||||
for ii in range(self.nCx):
|
||||
for jj in range(self.nCy):
|
||||
I = [ii,ii+1,ii+1,ii]
|
||||
J = [jj,jj,jj+1,jj+1]
|
||||
ax.add_patch(plt.Polygon(np.c_[Nx[I,J],Ny[I,J]], facecolor=scalarMap.to_rgba(cell[ii,jj]), edgecolor='k' if grid else 'none'))
|
||||
|
||||
scalarMap._A = [] # http://stackoverflow.com/questions/8342549/matplotlib-add-colorbar-to-a-sequence-of-line-plots
|
||||
ax.set_xlabel('x')
|
||||
ax.set_ylabel('y')
|
||||
if showIt: plt.show()
|
||||
return [scalarMap]
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
from SimPEG import *
|
||||
|
||||
@@ -1008,4 +1008,4 @@ class ProjectedGNCG(BFGS, Minimize, Remember):
|
||||
indx = ((self.xc<=self.lower) & (delx < 0)) | ((self.xc>=self.upper) & (delx > 0))
|
||||
delx[indx] = 0.
|
||||
|
||||
return delx
|
||||
return delx
|
||||
|
||||
+2
-2
@@ -74,7 +74,7 @@ class Property(object):
|
||||
if linkedMap is None:
|
||||
return None
|
||||
linkMap = linkMapClass(None) * linkedMap
|
||||
m = getattr(self, '%sModel'%linkName)
|
||||
m = getattr(self, '%s'%linkName)
|
||||
return linkMap.deriv( m )
|
||||
|
||||
m = getattr(self, '%sModel'%prop.name)
|
||||
@@ -239,7 +239,7 @@ class PropMap(object):
|
||||
setattr(self, '%sMap'%name, mapping)
|
||||
setattr(self, '%sIndex'%name, slices.get(name, slice(nP, nP + mapping.nP)))
|
||||
nP += mapping.nP
|
||||
self.nP = nP
|
||||
self.nP = nP
|
||||
|
||||
@property
|
||||
def defaultInvProp(self):
|
||||
|
||||
+181
-442
@@ -1,6 +1,4 @@
|
||||
import Utils, Maps, Mesh
|
||||
import numpy as np
|
||||
import scipy.sparse as sp
|
||||
import Utils, Maps, Mesh, numpy as np, scipy.sparse as sp
|
||||
|
||||
class RegularizationMesh(object):
|
||||
"""
|
||||
@@ -313,9 +311,6 @@ class BaseRegularization(object):
|
||||
tmp = indActive
|
||||
indActive = np.zeros(mesh.nC, dtype=bool)
|
||||
indActive[tmp] = True
|
||||
if indActive is not None and mapping is None:
|
||||
mapping = Maps.IdentityMap(nP=indActive.nonzero()[0].size)
|
||||
|
||||
self.regmesh = RegularizationMesh(mesh,indActive)
|
||||
self.mapping = mapping or self.mapPair(mesh)
|
||||
self.mapping._assertMatchesPair(self.mapPair)
|
||||
@@ -405,238 +400,7 @@ class BaseRegularization(object):
|
||||
|
||||
return mD.T * ( self.W.T * ( self.W * ( mD * v) ) )
|
||||
|
||||
class Simple(BaseRegularization):
|
||||
"""
|
||||
Simple regularization that does not include length scales in the derivatives.
|
||||
"""
|
||||
|
||||
mrefInSmooth = False #: include mref in the smoothness?
|
||||
alpha_s = Utils.dependentProperty('_alpha_s', 1.0, ['_W', '_Wsmall'], "Smallness weight")
|
||||
alpha_x = Utils.dependentProperty('_alpha_x', 1.0, ['_W', '_Wx'], "Weight for the first derivative in the x direction")
|
||||
alpha_y = Utils.dependentProperty('_alpha_y', 1.0, ['_W', '_Wy'], "Weight for the first derivative in the y direction")
|
||||
alpha_z = Utils.dependentProperty('_alpha_z', 1.0, ['_W', '_Wz'], "Weight for the first derivative in the z direction")
|
||||
cell_weights = 1.
|
||||
|
||||
def __init__(self, mesh, mapping=None, indActive=None, **kwargs):
|
||||
BaseRegularization.__init__(self, mesh, mapping=mapping, indActive=indActive, **kwargs)
|
||||
|
||||
if isinstance(self.cell_weights,float):
|
||||
self.cell_weights = np.ones(self.regmesh.nC) * self.cell_weights
|
||||
|
||||
@property
|
||||
def Wsmall(self):
|
||||
"""Regularization matrix Wsmall"""
|
||||
if getattr(self,'_Wsmall', None) is None:
|
||||
self._Wsmall = Utils.sdiag((self.alpha_s*self.cell_weights)**0.5)
|
||||
return self._Wsmall
|
||||
|
||||
@property
|
||||
def Wx(self):
|
||||
"""Regularization matrix Wx"""
|
||||
if getattr(self, '_Wx', None) is None:
|
||||
self._Wx = Utils.sdiag((self.alpha_x * (self.regmesh.aveCC2Fx*self.cell_weights))**0.5)*self.regmesh.cellDiffxStencil
|
||||
return self._Wx
|
||||
|
||||
@property
|
||||
def Wy(self):
|
||||
"""Regularization matrix Wy"""
|
||||
if getattr(self, '_Wy', None) is None:
|
||||
self._Wy = Utils.sdiag((self.alpha_y * (self.regmesh.aveCC2Fy*self.cell_weights))**0.5)*self.regmesh.cellDiffyStencil
|
||||
return self._Wy
|
||||
|
||||
@property
|
||||
def Wz(self):
|
||||
"""Regularization matrix Wz"""
|
||||
if getattr(self, '_Wz', None) is None:
|
||||
self._Wz = Utils.sdiag((self.alpha_z * (self.regmesh.aveCC2Fz*self.cell_weights))**0.5)*self.regmesh.cellDiffzStencil
|
||||
return self._Wz
|
||||
|
||||
# @property
|
||||
# def Wsmooth(self):
|
||||
# """Full smoothness regularization matrix W"""
|
||||
# print 'wtf why are we using Wsmooth'
|
||||
# raise NotImplementedError
|
||||
# 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"""
|
||||
# print 'wtf why are we using W'
|
||||
# if getattr(self, '_W', None) is None:
|
||||
# wlist = (self.Wsmall, self.Wx)
|
||||
# if self.regmesh.dim > 1:
|
||||
# wlist += (self.Wy,)
|
||||
# if self.regmesh.dim > 2:
|
||||
# wlist += (self.Wz,)
|
||||
# self._W = sp.vstack(wlist)
|
||||
# return self._W
|
||||
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmall(self, m):
|
||||
r = self.Wsmall * ( self.mapping * (m - self.mref) )
|
||||
return 0.5 * r.dot(r)
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmallDeriv(self, m):
|
||||
r = self.Wsmall * ( self.mapping * (m - self.mref) )
|
||||
return r.T * ( self.Wsmall * self.mapping.deriv(m - self.mref) )
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmall2Deriv(self, m, v = None):
|
||||
rDeriv = self.Wsmall * ( self.mapping.deriv(m - self.mref) )
|
||||
if v is not None:
|
||||
return rDeriv.T * (rDeriv * v)
|
||||
return rDeriv.T * rDeriv
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothx(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wx * ( self.mapping * (m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wx * ( self.mapping * (m) )
|
||||
return 0.5 * r.dot(r)
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothy(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wy * ( self.mapping * (m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wy * ( self.mapping * (m) )
|
||||
return 0.5 * r.dot(r)
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothz(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wz * ( self.mapping * (m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wz * ( self.mapping * (m) )
|
||||
return 0.5 * r.dot(r)
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmooth(self, m):
|
||||
phiSmooth = self._evalSmoothx(m)
|
||||
if self.regmesh.dim > 1:
|
||||
phiSmooth += self._evalSmoothy(m)
|
||||
if self.regmesh.dim > 2:
|
||||
phiSmooth += self._evalSmoothz(m)
|
||||
return phiSmooth
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothxDeriv(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wx * ( self.mapping * ( m - self.mref ) )
|
||||
return r.T * ( self.Wx * self.mapping.deriv(m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wx * ( self.mapping * m )
|
||||
return r.T * ( self.Wx * self.mapping.deriv(m) )
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothx2Deriv(self, m, v=None):
|
||||
if self.mrefInSmooth == True:
|
||||
rDeriv = self.Wx * ( self.mapping.deriv( m - self.mref ) )
|
||||
elif self.mrefInSmooth == False:
|
||||
rDeriv = self.Wx * ( self.mapping.deriv(m) )
|
||||
|
||||
if v is not None:
|
||||
return rDeriv.T * ( rDeriv * v )
|
||||
return rDeriv.T * rDeriv
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothyDeriv(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wy * ( self.mapping * ( m - self.mref ) )
|
||||
return r.T * ( self.Wy * self.mapping.deriv(m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wy * ( self.mapping * m )
|
||||
return r.T * ( self.Wy * self.mapping.deriv(m) )
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothy2Deriv(self, m, v=None):
|
||||
if self.mrefInSmooth == True:
|
||||
rDeriv = self.Wy * ( self.mapping.deriv( m - self.mref ) )
|
||||
elif self.mrefInSmooth == False:
|
||||
rDeriv = self.Wy * ( self.mapping.deriv(m) )
|
||||
|
||||
if v is not None:
|
||||
return rDeriv.T * ( rDeriv * v )
|
||||
return rDeriv.T * rDeriv
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothzDeriv(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wz * ( self.mapping * ( m - self.mref ) )
|
||||
return r.T * ( self.Wz * self.mapping.deriv(m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wz * ( self.mapping * m )
|
||||
return r.T * ( self.Wz * self.mapping.deriv(m) )
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothz2Deriv(self, m, v=None):
|
||||
if self.mrefInSmooth == True:
|
||||
rDeriv = self.Wz * ( self.mapping.deriv( m - self.mref ) )
|
||||
elif self.mrefInSmooth == False:
|
||||
rDeriv = self.Wz * ( self.mapping.deriv(m) )
|
||||
|
||||
if v is not None:
|
||||
return rDeriv.T * ( rDeriv * v )
|
||||
return rDeriv.T * rDeriv
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothDeriv(self, m):
|
||||
deriv = self._evalSmoothxDeriv(m)
|
||||
if self.regmesh.dim > 1:
|
||||
deriv += self._evalSmoothyDeriv(m)
|
||||
if self.regmesh.dim > 2:
|
||||
deriv += self._evalSmoothzDeriv(m)
|
||||
return deriv
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmooth2Deriv(self, m, v=None):
|
||||
deriv = self._evalSmoothx2Deriv(m, v)
|
||||
if self.regmesh.dim > 1:
|
||||
deriv += self._evalSmoothy2Deriv(m, v)
|
||||
if self.regmesh.dim > 2:
|
||||
deriv += self._evalSmoothz2Deriv(m, v)
|
||||
return deriv
|
||||
|
||||
|
||||
@Utils.timeIt
|
||||
def eval(self, m):
|
||||
return self._evalSmall(m) + self._evalSmooth(m)
|
||||
|
||||
@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})}
|
||||
|
||||
"""
|
||||
return self._evalSmallDeriv(m) + self._evalSmoothDeriv(m)
|
||||
|
||||
@Utils.timeIt
|
||||
def eval2Deriv(self, m, v=None):
|
||||
return self._evalSmall2Deriv(m, v) + self._evalSmooth2Deriv(m, v)
|
||||
|
||||
|
||||
|
||||
class Tikhonov(Simple):
|
||||
class Tikhonov(BaseRegularization):
|
||||
"""
|
||||
L2 Tikhonov regularization with both smallness and smoothness (first order
|
||||
derivative) contributions.
|
||||
@@ -726,131 +490,56 @@ class Tikhonov(Simple):
|
||||
self._Wzz = Utils.sdiag((self.regmesh.vol*self.alpha_zz)**0.5)*self.regmesh.faceDiffz*self.regmesh.cellDiffz
|
||||
return self._Wzz
|
||||
|
||||
|
||||
@property
|
||||
def Wsmooth2(self):
|
||||
def Wsmooth(self):
|
||||
"""Full smoothness regularization matrix W"""
|
||||
if getattr(self, '_Wsmooth', None) is None:
|
||||
wlist = (self.Wxx)
|
||||
wlist = (self.Wx, self.Wxx)
|
||||
if self.regmesh.dim > 1:
|
||||
wlist += (self.Wyy)
|
||||
wlist += (self.Wy, self.Wyy)
|
||||
if self.regmesh.dim > 2:
|
||||
wlist += (self.Wzz)
|
||||
wlist += (self.Wz, self.Wzz)
|
||||
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 _evalSmoothxx(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wxx * ( self.mapping * (m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wxx * ( self.mapping * (m) )
|
||||
def _evalSmall(self, m):
|
||||
r = self.Wsmall * ( self.mapping * (m - self.mref) )
|
||||
return 0.5 * r.dot(r)
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothyy(self, m):
|
||||
def _evalSmooth(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wyy * ( self.mapping * (m - self.mref) )
|
||||
r = self.Wsmooth * ( self.mapping * (m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wyy * ( self.mapping * (m) )
|
||||
r = self.Wsmooth * ( self.mapping * (m) )
|
||||
return 0.5 * r.dot(r)
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothzz(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wzz * ( self.mapping * (m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wzz * ( self.mapping * (m) )
|
||||
return 0.5 * r.dot(r)
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmooth2(self, m):
|
||||
phiSmooth2 = self._evalSmoothxx(m)
|
||||
if self.regmesh.dim > 1:
|
||||
phiSmooth2 += self._evalSmoothyy(m)
|
||||
if self.regmesh.dim > 2:
|
||||
phiSmooth2 += self._evalSmoothzz(m)
|
||||
return phiSmooth2
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothxxDeriv(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wxx * ( self.mapping * ( m - self.mref ) )
|
||||
return r.T * ( self.Wxx * self.mapping.deriv(m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wxx * ( self.mapping * m )
|
||||
return r.T * ( self.Wxx * self.mapping.deriv(m) )
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothyyDeriv(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wyy * ( self.mapping * ( m - self.mref ) )
|
||||
return r.T * ( self.Wyy * self.mapping.deriv(m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wyy * ( self.mapping * m )
|
||||
return r.T * ( self.Wyy * self.mapping.deriv(m) )
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothzzDeriv(self, m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wzz * ( self.mapping * ( m - self.mref ) )
|
||||
return r.T * ( self.Wzz * self.mapping.deriv(m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wzz * ( self.mapping * m )
|
||||
return r.T * ( self.Wzz * self.mapping.deriv(m) )
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothxx2Deriv(self, m, v=None):
|
||||
if self.mrefInSmooth == True:
|
||||
rDeriv = self.Wxx * ( self.mapping.deriv( m - self.mref ) )
|
||||
elif self.mrefInSmooth == False:
|
||||
rDeriv = self.Wxx * self.mapping.deriv(m)
|
||||
if v is not None:
|
||||
return rDeriv.T * (rDeriv * v)
|
||||
return rDeriv.T * rDeriv
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothyy2Deriv(self, m, v=None):
|
||||
if self.mrefInSmooth == True:
|
||||
rDeriv = self.Wyy * ( self.mapping.deriv( m - self.mref ) )
|
||||
elif self.mrefInSmooth == False:
|
||||
rDeriv = self.Wyy * self.mapping.deriv(m)
|
||||
if v is not None:
|
||||
return rDeriv.T * (rDeriv * v)
|
||||
return rDeriv.T * rDeriv
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothzz2Deriv(self, m, v=None):
|
||||
if self.mrefInSmooth == True:
|
||||
rDeriv = self.Wzz * ( self.mapping.deriv( m - self.mref ) )
|
||||
elif self.mrefInSmooth == False:
|
||||
rDeriv = self.Wzz * self.mapping.deriv(m)
|
||||
if v is not None:
|
||||
return rDeriv.T * (rDeriv * v)
|
||||
return rDeriv.T * rDeriv
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothDeriv2(self, m):
|
||||
deriv = self._evalSmoothxxDeriv(m)
|
||||
if self.regmesh.dim > 1:
|
||||
deriv += self._evalSmoothyyDeriv(m)
|
||||
if self.regmesh.dim > 2:
|
||||
deriv += self._evalSmoothzzDeriv(m)
|
||||
return deriv
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmooth2Deriv2(self, m, v=None):
|
||||
deriv = self._evalSmoothxx2Deriv(m, v)
|
||||
if self.regmesh.dim > 1:
|
||||
deriv += self._evalSmoothyy2Deriv(m, v)
|
||||
if self.regmesh.dim > 2:
|
||||
deriv += self._evalSmoothzz2Deriv(m, v)
|
||||
return deriv
|
||||
|
||||
|
||||
@Utils.timeIt
|
||||
def eval(self, m):
|
||||
return self._evalSmall(m) + self._evalSmooth(m) + self._evalSmooth2(m)
|
||||
return self._evalSmall(m) + self._evalSmooth(m)
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmallDeriv(self,m):
|
||||
r = self.Wsmall * ( self.mapping * (m - self.mref) )
|
||||
return r.T * ( self.Wsmall * self.mapping.deriv(m - self.mref) )
|
||||
|
||||
@Utils.timeIt
|
||||
def _evalSmoothDeriv(self,m):
|
||||
if self.mrefInSmooth == True:
|
||||
r = self.Wsmooth * ( self.mapping * ( m - self.mref ) )
|
||||
return r.T * ( self.Wsmooth * self.mapping.deriv(m - self.mref) )
|
||||
elif self.mrefInSmooth == False:
|
||||
r = self.Wsmooth * ( self.mapping * m )
|
||||
return r.T * ( self.Wsmooth * self.mapping.deriv(m) )
|
||||
|
||||
@Utils.timeIt
|
||||
def evalDeriv(self, m):
|
||||
@@ -868,134 +557,184 @@ class Tikhonov(Simple):
|
||||
R(m) = \mathbf{W^\\top W (m-m_\\text{ref})}
|
||||
|
||||
"""
|
||||
return self._evalSmallDeriv(m) + self._evalSmoothDeriv(m) + self._evalSmoothDeriv2(m)
|
||||
|
||||
def eval2Deriv(self, m, v=None):
|
||||
"""
|
||||
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})}
|
||||
|
||||
"""
|
||||
return self._evalSmall2Deriv(m, v) + self._evalSmooth2Deriv(m, v) + self._evalSmooth2Deriv2(m, v)
|
||||
return self._evalSmallDeriv(m) + self._evalSmoothDeriv(m)
|
||||
|
||||
|
||||
|
||||
class Sparse(Simple):
|
||||
class Simple(Tikhonov):
|
||||
"""
|
||||
The regularization is:
|
||||
|
||||
.. math::
|
||||
|
||||
R(m) = \\frac{1}{2}\mathbf{(m-m_\\text{ref})^\\top W^\\top R^\\top R W(m-m_\\text{ref})}
|
||||
|
||||
where the IRLS weight
|
||||
|
||||
.. math::
|
||||
|
||||
R = \eta TO FINISH LATER!!!
|
||||
|
||||
So the derivative is straight forward:
|
||||
|
||||
.. math::
|
||||
|
||||
R(m) = \mathbf{W^\\top R^\\top R W (m-m_\\text{ref})}
|
||||
|
||||
The IRLS weights are recomputed after each beta solves.
|
||||
It is strongly recommended to do a few Gauss-Newton iterations
|
||||
before updating.
|
||||
Simple regularization that does not include length scales in the derivatives.
|
||||
"""
|
||||
|
||||
# set default values
|
||||
eps_p = 1e-1 # Threshold value for the model norm
|
||||
eps_q = 1e-1 # Threshold value for the model gradient norm
|
||||
curModel = None # Requires model to compute the weights
|
||||
l2model = None
|
||||
gamma = 1. # Model norm scaling to smooth out convergence
|
||||
norms = [0., 2., 2., 2.] # Values for norm on (m, dmdx, dmdy, dmdz)
|
||||
cell_weights = 1. # Consider overwriting with sensitivity weights
|
||||
|
||||
mrefInSmooth = False #: SMOOTH and SMOOTH_MOD_DIF options
|
||||
alpha_s = Utils.dependentProperty('_alpha_s', 1.0, ['_W', '_Wsmall'], "Smallness weight")
|
||||
alpha_x = Utils.dependentProperty('_alpha_x', 1.0, ['_W', '_Wx'], "Weight for the first derivative in the x direction")
|
||||
alpha_y = Utils.dependentProperty('_alpha_y', 1.0, ['_W', '_Wy'], "Weight for the first derivative in the y direction")
|
||||
alpha_z = Utils.dependentProperty('_alpha_z', 1.0, ['_W', '_Wz'], "Weight for the first derivative in the z direction")
|
||||
wght = 1.
|
||||
|
||||
def __init__(self, mesh, mapping=None, indActive=None, **kwargs):
|
||||
Simple.__init__(self, mesh, mapping=mapping, indActive=indActive, **kwargs)
|
||||
BaseRegularization.__init__(self, mesh, mapping=mapping, indActive=indActive, **kwargs)
|
||||
|
||||
if isinstance(self.cell_weights,float):
|
||||
self.cell_weights = np.ones(self.regmesh.nC) * self.cell_weights
|
||||
if isinstance(self.wght,float):
|
||||
self.wght = np.ones(self.regmesh.nC) * self.wght
|
||||
|
||||
@property
|
||||
def Wsmall(self):
|
||||
"""Regularization matrix Wsmall"""
|
||||
if getattr(self,'_Wsmall', None) is None:
|
||||
if getattr(self, 'curModel', None) is None:
|
||||
self.Rs = Utils.speye(self.regmesh.nC)
|
||||
|
||||
else:
|
||||
f_m = self.mapping * (self.curModel - self.reg.mref)
|
||||
self.rs = self.R(f_m , self.eps_p, self.norms[0])
|
||||
self.Rs = Utils.sdiag( self.rs )
|
||||
|
||||
self._Wsmall = Utils.sdiag((self.alpha_s*self.gamma*self.cell_weights)**0.5)*self.Rs
|
||||
|
||||
self._Wsmall = Utils.sdiag((self.regmesh.vol*self.alpha_s*self.wght)**0.5)
|
||||
return self._Wsmall
|
||||
|
||||
@property
|
||||
def Wx(self):
|
||||
"""Regularization matrix Wx"""
|
||||
if getattr(self,'_Wx', None) is None:
|
||||
if getattr(self, 'curModel', None) is None:
|
||||
self.Rx = Utils.speye(self.regmesh.cellDiffxStencil.shape[0])
|
||||
|
||||
else:
|
||||
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 )
|
||||
|
||||
self._Wx = Utils.sdiag(( self.alpha_x*self.gamma*(self.regmesh.aveCC2Fx*self.cell_weights))**0.5)*self.Rx*self.regmesh.cellDiffxStencil
|
||||
|
||||
if getattr(self, '_Wx', None) is None:
|
||||
self._Wx = Utils.sdiag((self.regmesh.aveCC2Fx * self.regmesh.vol*self.alpha_x*(self.regmesh.aveCC2Fx*self.wght))**0.5)*self.regmesh.cellDiffxStencil
|
||||
return self._Wx
|
||||
|
||||
@property
|
||||
def Wy(self):
|
||||
"""Regularization matrix Wy"""
|
||||
if getattr(self,'_Wy', None) is None:
|
||||
if getattr(self, 'curModel', None) is None:
|
||||
self.Ry = Utils.speye(self.regmesh.cellDiffyStencil.shape[0])
|
||||
|
||||
else:
|
||||
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 )
|
||||
|
||||
self._Wy = Utils.sdiag((self.alpha_y*self.gamma*(self.regmesh.aveCC2Fy*self.cell_weights))**0.5)*self.Ry*self.regmesh.cellDiffyStencil
|
||||
|
||||
if getattr(self, '_Wy', None) is None:
|
||||
self._Wy = Utils.sdiag((self.regmesh.aveCC2Fy * self.regmesh.vol * self.alpha_y*(self.regmesh.aveCC2Fy*self.wght))**0.5)*self.regmesh.cellDiffyStencil
|
||||
return self._Wy
|
||||
|
||||
@property
|
||||
def Wz(self):
|
||||
"""Regularization matrix Wz"""
|
||||
if getattr(self,'_Wz', None) is None:
|
||||
if getattr(self, 'curModel', None) is None:
|
||||
self.Rz = Utils.speye(self.regmesh.cellDiffzStencil.shape[0])
|
||||
|
||||
else:
|
||||
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 )
|
||||
|
||||
self._Wz = Utils.sdiag((self.alpha_z*self.gamma*(self.regmesh.aveCC2Fz*self.cell_weights))**0.5)*self.Rz*self.regmesh.cellDiffzStencil
|
||||
|
||||
if getattr(self, '_Wz', None) is None:
|
||||
self._Wz = Utils.sdiag((self.regmesh.aveCC2Fz * self.regmesh.vol*self.alpha_z*(self.regmesh.aveCC2Fz*self.wght))**0.5)*self.regmesh.cellDiffzStencil
|
||||
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 _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)
|
||||
|
||||
|
||||
class Sparse(Simple):
|
||||
|
||||
# set default values
|
||||
eps_p = 1e-1
|
||||
eps_q = 1e-1
|
||||
curModel = None # use a model to compute the weights
|
||||
gamma = 1.
|
||||
norms = [0., 2., 2., 2.]
|
||||
wght = 1.
|
||||
|
||||
def __init__(self, mesh, mapping=None, indActive=None, **kwargs):
|
||||
Simple.__init__(self, mesh, mapping=mapping, indActive=indActive, **kwargs)
|
||||
|
||||
if isinstance(self.wght,float):
|
||||
self.wght = np.ones(self.regmesh.nC) * self.wght
|
||||
|
||||
@property
|
||||
def Wsmall(self):
|
||||
"""Regularization matrix Wsmall"""
|
||||
if getattr(self, 'curModel', None) is None:
|
||||
self.Rs = Utils.speye(self.regmesh.nC)
|
||||
|
||||
else:
|
||||
f_m = self.mapping * (self.curModel - self.reg.mref)
|
||||
self.rs = self.R(f_m , self.eps_p, self.norms[0])
|
||||
self.Rs = Utils.sdiag( self.rs )
|
||||
|
||||
return Utils.sdiag((self.regmesh.vol*self.alpha_s*self.gamma*self.wght)**0.5)*self.Rs
|
||||
|
||||
|
||||
@property
|
||||
def Wx(self):
|
||||
"""Regularization matrix Wx"""
|
||||
|
||||
if getattr(self, 'curModel', None) is None:
|
||||
self.Rx = Utils.speye(self.regmesh.cellDiffxStencil.shape[0])
|
||||
|
||||
else:
|
||||
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 )
|
||||
|
||||
return Utils.sdiag(( (self.regmesh.aveCC2Fx * self.regmesh.vol) *self.alpha_x*self.gamma*(self.regmesh.aveCC2Fx*self.wght))**0.5)*self.Rx*self.regmesh.cellDiffxStencil
|
||||
|
||||
@property
|
||||
def Wy(self):
|
||||
"""Regularization matrix Wy"""
|
||||
|
||||
if getattr(self, 'curModel', None) is None:
|
||||
self.Ry = Utils.speye(self.regmesh.cellDiffyStencil.shape[0])
|
||||
|
||||
else:
|
||||
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 )
|
||||
|
||||
return Utils.sdiag(((self.regmesh.aveCC2Fy * self.regmesh.vol)*self.alpha_y*self.gamma*(self.regmesh.aveCC2Fy*self.wght))**0.5)*self.Ry*self.regmesh.cellDiffyStencil
|
||||
|
||||
@property
|
||||
def Wz(self):
|
||||
"""Regularization matrix Wz"""
|
||||
|
||||
if getattr(self, 'curModel', None) is None:
|
||||
self.Rz = Utils.speye(self.regmesh.cellDiffzStencil.shape[0])
|
||||
|
||||
else:
|
||||
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 )
|
||||
|
||||
return Utils.sdiag(((self.regmesh.aveCC2Fz * self.regmesh.vol)*self.alpha_z*self.gamma*(self.regmesh.aveCC2Fz*self.wght))**0.5)*self.Rz*self.regmesh.cellDiffzStencil
|
||||
|
||||
@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 sp.vstack(wlist)
|
||||
|
||||
@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
|
||||
|
||||
def R(self, f_m , eps, exponent):
|
||||
|
||||
# Eta scaling is important for mix-norms...do not mess with it
|
||||
eta = (eps**(1.-exponent/2.))**0.5
|
||||
r = eta / (f_m**2.+ eps**2.)**((1.-exponent/2.)/2.)
|
||||
|
||||
|
||||
@@ -1,5 +1,4 @@
|
||||
import Utils, numpy as np, scipy.sparse as sp, uuid
|
||||
import gc
|
||||
|
||||
class BaseRx(object):
|
||||
"""SimPEG Receiver Object"""
|
||||
|
||||
@@ -7,4 +7,3 @@ from CounterUtils import *
|
||||
import ModelBuilder
|
||||
import SolverUtils
|
||||
from coordutils import *
|
||||
from modelutils import *
|
||||
|
||||
@@ -1,63 +0,0 @@
|
||||
from matutils import mkvc, ndgrid
|
||||
import numpy as np
|
||||
|
||||
def surface2ind_topo(mesh, topo, gridLoc='CC'):
|
||||
# def genActiveindfromTopo(mesh, topo):
|
||||
"""
|
||||
Get active indices from topography
|
||||
"""
|
||||
|
||||
|
||||
if mesh.dim == 3:
|
||||
from scipy.interpolate import NearestNDInterpolator
|
||||
Ftopo = NearestNDInterpolator(topo[:,:2], topo[:,2])
|
||||
|
||||
if gridLoc == 'CC':
|
||||
XY = ndgrid(mesh.vectorCCx, mesh.vectorCCy)
|
||||
Zcc = mesh.gridCC[:,2].reshape((np.prod(mesh.vnC[:2]), mesh.nCz), order='F')
|
||||
|
||||
gridTopo = Ftopo(XY)
|
||||
actind = [gridTopo[ixy] <= Zcc[ixy,:] for ixy in range(np.prod(mesh.vnC[0]))]
|
||||
actind = np.hstack(actind)
|
||||
|
||||
elif gridLoc == 'N':
|
||||
|
||||
XY = ndgrid(mesh.vectorNx, mesh.vectorNy)
|
||||
gridTopo = Ftopo(XY).reshape(mesh.vnN[:2], order='F')
|
||||
|
||||
if mesh._meshType not in ['TENSOR', 'CYL', 'BASETENSOR']:
|
||||
raise NotImplementedError('Nodal surface2ind_topo not implemented for %s mesh'%mesh._meshType)
|
||||
|
||||
Nz = mesh.vectorNz[1:] # TODO: this will only work for tensor meshes
|
||||
actind = np.array([False]*mesh.nC).reshape(mesh.vnC, order='F')
|
||||
|
||||
for ii in range(mesh.nCx):
|
||||
for jj in range(mesh.nCy):
|
||||
actind[ii,jj,:] = [np.all(gridTopo[ii:ii+2, jj:jj+2] >= Nz[kk]) for kk in range(len(Nz)) ]
|
||||
|
||||
elif mesh.dim == 2:
|
||||
from scipy.interpolate import interp1d
|
||||
Ftopo = interp1d(topo[:,0], topo[:,1])
|
||||
|
||||
if gridLoc == 'CC':
|
||||
gridTopo = Ftopo(mesh.gridCC[:,0])
|
||||
actind = mesh.gridCC[:,1] <= gridTopo
|
||||
|
||||
elif gridLoc == 'N':
|
||||
|
||||
gridTopo = Ftopo(mesh.vectorNx)
|
||||
if mesh._meshType not in ['TENSOR', 'CYL', 'BASETENSOR']:
|
||||
raise NotImplementedError('Nodal surface2ind_topo not implemented for %s mesh'%mesh._meshType)
|
||||
|
||||
Ny = mesh.vectorNy[1:] # TODO: this will only work for tensor meshes
|
||||
actind = np.array([False]*mesh.nC).reshape(mesh.vnC, order='F')
|
||||
|
||||
for ii in range(mesh.nCx):
|
||||
actind[ii,:] = [np.all(gridTopo[ii:ii+2] > Ny[kk]) for kk in range(len(Ny)) ]
|
||||
|
||||
else:
|
||||
raise NotImplementedError('surface2ind_topo not implemented for 1D mesh')
|
||||
|
||||
return mkvc(actind)
|
||||
|
||||
|
||||
+12
-12
@@ -347,10 +347,10 @@ and
|
||||
|
||||
|
||||
|
||||
TDEM Problem
|
||||
============
|
||||
TDEM - B formulation
|
||||
====================
|
||||
|
||||
.. automodule:: SimPEG.EM.TDEM.TDEM
|
||||
.. automodule:: SimPEG.EM.TDEM.TDEM_b
|
||||
:show-inheritance:
|
||||
:members:
|
||||
:undoc-members:
|
||||
@@ -359,7 +359,7 @@ TDEM Problem
|
||||
Field Storage
|
||||
=============
|
||||
|
||||
.. autoclass:: SimPEG.EM.TDEM.SurveyTDEM.Fields
|
||||
.. autoclass:: SimPEG.EM.TDEM.SurveyTDEM.FieldsTDEM
|
||||
:show-inheritance:
|
||||
:members:
|
||||
:undoc-members:
|
||||
@@ -369,19 +369,19 @@ Field Storage
|
||||
TDEM Survey Classes
|
||||
===================
|
||||
|
||||
.. autoclass:: SimPEG.EM.TDEM.SurveyTDEM.Survey
|
||||
.. autoclass:: SimPEG.EM.TDEM.SurveyTDEM.SurveyTDEM
|
||||
:show-inheritance:
|
||||
:members:
|
||||
:undoc-members:
|
||||
:inherited-members:
|
||||
|
||||
|
||||
.. Base Classes
|
||||
.. ============
|
||||
Base Classes
|
||||
============
|
||||
|
||||
.. .. automodule:: SimPEG.EM.TDEM.BaseTDEM
|
||||
.. :show-inheritance:
|
||||
.. :members:
|
||||
.. :undoc-members:
|
||||
.. :inherited-members:
|
||||
.. automodule:: SimPEG.EM.TDEM.BaseTDEM
|
||||
:show-inheritance:
|
||||
:members:
|
||||
:undoc-members:
|
||||
:inherited-members:
|
||||
|
||||
|
||||
@@ -20,9 +20,9 @@ INPUT:
|
||||
loc = Location of spheres [[x1,y1,z1],[x2,y2,z2]]
|
||||
radi = Radius of spheres [r1,r2]
|
||||
param = Conductivity of background and two spheres [m0,m1,m2]
|
||||
surveyType = survey type 'pole-dipole' or 'dipole-dipole'
|
||||
unitType = Data type "appResistivity" | "appConductivity" | "volt"
|
||||
Created by @fourndo
|
||||
stype = survey type "pdp" (pole dipole) or "dpdp" (dipole dipole)
|
||||
dtype = Data type "appr" (app res) | "appc" (app cond) | "volt" (potential)
|
||||
Created by @fourndo on Mon Feb 01 19:28:06 2016
|
||||
|
||||
|
||||
|
||||
|
||||
+5
-8
@@ -1,4 +1,4 @@
|
||||
.. _examples_Utils_surface2ind_topo:
|
||||
.. _examples_Forward_BasicDirectCurrent:
|
||||
|
||||
.. --------------------------------- ..
|
||||
.. ..
|
||||
@@ -8,17 +8,14 @@
|
||||
.. ..
|
||||
.. --------------------------------- ..
|
||||
|
||||
|
||||
Here we show how to use :code:`Utils.surface2ind_topo` to identify cells below
|
||||
a topographic surface.
|
||||
|
||||
|
||||
Forward BasicDirectCurrent
|
||||
==========================
|
||||
|
||||
.. plot::
|
||||
|
||||
from SimPEG import Examples
|
||||
Examples.Utils_surface2ind_topo.run()
|
||||
Examples.Forward_BasicDirectCurrent.run()
|
||||
|
||||
.. literalinclude:: ../../SimPEG/Examples/Utils_surface2ind_topo.py
|
||||
.. literalinclude:: ../../SimPEG/Examples/Forward_BasicDirectCurrent.py
|
||||
:language: python
|
||||
:linenos:
|
||||
@@ -1,25 +0,0 @@
|
||||
.. _examples_Mesh_Basic_ForwardDC:
|
||||
|
||||
.. --------------------------------- ..
|
||||
.. ..
|
||||
.. THIS FILE IS AUTO GENEREATED ..
|
||||
.. ..
|
||||
.. SimPEG/Examples/__init__.py ..
|
||||
.. ..
|
||||
.. --------------------------------- ..
|
||||
|
||||
|
||||
Mesh: Basic Forward 2D DC Resistivity
|
||||
=====================================
|
||||
|
||||
2D DC forward modeling example with Tensor and Curvilinear Meshes
|
||||
|
||||
|
||||
.. plot::
|
||||
|
||||
from SimPEG import Examples
|
||||
Examples.Mesh_Basic_ForwardDC.run()
|
||||
|
||||
.. literalinclude:: ../../SimPEG/Examples/Mesh_Basic_ForwardDC.py
|
||||
:language: python
|
||||
:linenos:
|
||||
@@ -5,17 +5,16 @@ SimPEG is a python package for simulation and gradient based
|
||||
parameter estimation in the context of geophysical applications.
|
||||
"""
|
||||
|
||||
import numpy as np
|
||||
|
||||
import os
|
||||
import sys
|
||||
import subprocess
|
||||
|
||||
from distutils.core import setup
|
||||
from distutils.command.build_ext import build_ext
|
||||
from setuptools import find_packages
|
||||
from distutils.extension import Extension
|
||||
|
||||
|
||||
|
||||
CLASSIFIERS = [
|
||||
'Development Status :: 4 - Beta',
|
||||
'Intended Audience :: Developers',
|
||||
@@ -52,16 +51,11 @@ if args.count("build_ext") > 0 and args.count("--inplace") == 0:
|
||||
try:
|
||||
from Cython.Build import cythonize
|
||||
from Cython.Distutils import build_ext
|
||||
cythonKwargs = dict(cmdclass={'build_ext': build_ext})
|
||||
USE_CYTHON = True
|
||||
except Exception, e:
|
||||
USE_CYTHON = False
|
||||
|
||||
class NumpyBuild(build_ext):
|
||||
def finalize_options(self):
|
||||
build_ext.finalize_options(self)
|
||||
__builtins__.__NUMPY_SETUP__ = False
|
||||
import numpy
|
||||
self.include_dirs.append(numpy.get_include())
|
||||
cythonKwargs = dict()
|
||||
|
||||
ext = '.pyx' if USE_CYTHON else '.c'
|
||||
|
||||
@@ -100,8 +94,8 @@ setup(
|
||||
classifiers=CLASSIFIERS,
|
||||
platforms = ["Windows", "Linux", "Solaris", "Mac OS-X", "Unix"],
|
||||
use_2to3 = False,
|
||||
cmdclass={'build_ext':NumpyBuild},
|
||||
setup_requires=['numpy'],
|
||||
include_dirs=[np.get_include()],
|
||||
ext_modules = extensions,
|
||||
scripts=scripts,
|
||||
**cythonKwargs
|
||||
)
|
||||
|
||||
@@ -1,7 +1,6 @@
|
||||
import unittest
|
||||
from SimPEG import *
|
||||
from scipy.constants import mu_0
|
||||
from SimPEG import Tests
|
||||
|
||||
|
||||
class MyPropMap(Maps.PropMap):
|
||||
@@ -188,34 +187,6 @@ class TestPropMaps(unittest.TestCase):
|
||||
|
||||
MyReciprocalPropMap([('sigma', iMap), ('mu', iMap)]) # This should be fine
|
||||
|
||||
def test_linked_derivs_sigma(self):
|
||||
mesh = Mesh.TensorMesh([4,5], x0='CC')
|
||||
|
||||
mapping = Maps.ExpMap(mesh)
|
||||
propmap = MyReciprocalPropMap([('rho', mapping)])
|
||||
|
||||
x0 = np.random.rand(mesh.nC)
|
||||
m = propmap(x0)
|
||||
|
||||
# test Sigma
|
||||
testme = lambda v: [1./(m.rhoMap*v), m.sigmaDeriv]
|
||||
print 'Testing Rho from Sigma'
|
||||
Tests.checkDerivative(testme, x0, dx=0.01*x0, num=5, plotIt=False)
|
||||
|
||||
def test_linked_derivs_rho(self):
|
||||
mesh = Mesh.TensorMesh([4,5], x0='CC')
|
||||
|
||||
mapping = Maps.ExpMap(mesh)
|
||||
propmap = MyReciprocalPropMap([('sigma', mapping)])
|
||||
|
||||
x0 = np.random.rand(mesh.nC)
|
||||
m = propmap(x0)
|
||||
|
||||
# test Sigma
|
||||
testme = lambda v: [1./(m.sigmaMap*v), m.rhoDeriv]
|
||||
print 'Testing Rho from Sigma'
|
||||
Tests.checkDerivative(testme, x0, dx=0.01*x0, num=5, plotIt=False)
|
||||
|
||||
if __name__ == '__main__':
|
||||
unittest.main()
|
||||
|
||||
|
||||
@@ -65,8 +65,10 @@ class RegularizationTests(unittest.TestCase):
|
||||
elif mesh.dim == 3:
|
||||
indActive = Utils.mkvc(mesh.gridCC[:,-1] <= 2*np.sin(2*np.pi*mesh.gridCC[:,0])+0.5 * 2*np.sin(2*np.pi*mesh.gridCC[:,1])+0.5)
|
||||
|
||||
mapping = Maps.IdentityMap(nP=indActive.nonzero()[0].size)
|
||||
|
||||
for indAct in [indActive, indActive.nonzero()[0]]: # test both bool and integers
|
||||
reg = r(mesh, indActive=indAct)
|
||||
reg = r(mesh, mapping=mapping, indActive=indAct)
|
||||
m = np.random.rand(mesh.nC)[indAct]
|
||||
reg.mref = np.ones_like(m)*np.mean(m)
|
||||
|
||||
|
||||
@@ -28,12 +28,12 @@ class FDEM_analyticTests(unittest.TestCase):
|
||||
|
||||
x = np.linspace(-10,10,5)
|
||||
XYZ = Utils.ndgrid(x,np.r_[0],np.r_[0])
|
||||
rxList = EM.FDEM.Rx.Point_e(XYZ, orientation='x', component='imag')
|
||||
rxList = EM.FDEM.Rx(XYZ, 'exi')
|
||||
Src0 = EM.FDEM.Src.MagDipole([rxList],loc=np.r_[0.,0.,0.], freq=freq)
|
||||
|
||||
survey = EM.FDEM.Survey([Src0])
|
||||
|
||||
prb = EM.FDEM.Problem3D_b(mesh, mapping=mapping)
|
||||
prb = EM.FDEM.Problem_b(mesh, mapping=mapping)
|
||||
prb.pair(survey)
|
||||
|
||||
try:
|
||||
@@ -125,8 +125,8 @@ class FDEM_analyticTests(unittest.TestCase):
|
||||
|
||||
mapping = [('sigma', Maps.IdentityMap(mesh)),('mu', Maps.IdentityMap(mesh))]
|
||||
|
||||
prbe = EM.FDEM.Problem3D_h(mesh, mapping=mapping)
|
||||
prbm = EM.FDEM.Problem3D_e(mesh, mapping=mapping)
|
||||
prbe = EM.FDEM.Problem_h(mesh, mapping=mapping)
|
||||
prbm = EM.FDEM.Problem_e(mesh, mapping=mapping)
|
||||
|
||||
prbe.pair(surveye) # pair problem and survey
|
||||
prbm.pair(surveym)
|
||||
|
||||
@@ -12,7 +12,7 @@ testBH = True
|
||||
verbose = False
|
||||
|
||||
TOLEJHB = 1 # averaging and more sensitive to boundary condition violations (ie. the impact of violating the boundary conditions in each case is different.)
|
||||
#TODO: choose better testing parameters to lower this
|
||||
#TODO: choose better testing parameters to lower this
|
||||
|
||||
SrcList = ['RawVec', 'MagDipole_Bfield', 'MagDipole', 'CircularLoop']
|
||||
|
||||
@@ -125,4 +125,4 @@ class FDEM_CrossCheck(unittest.TestCase):
|
||||
self.assertTrue(crossCheckTest(SrcList, 'b', 'h', 'hzi', verbose=verbose, TOL=TOLEJHB))
|
||||
|
||||
if __name__ == '__main__':
|
||||
unittest.main()
|
||||
unittest.main()
|
||||
@@ -1,12 +0,0 @@
|
||||
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)
|
||||
@@ -1,69 +0,0 @@
|
||||
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, earth_type="halfspace")
|
||||
|
||||
rx = DC.Rx.Dipole_ky(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()
|
||||
|
||||
@@ -1,127 +0,0 @@
|
||||
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()
|
||||
@@ -1,71 +0,0 @@
|
||||
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, earth_type="halfspace")
|
||||
phiB = EM.Analytics.DCAnalyticHalf(Bloc, [M,N], 1e-2, earth_type="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()
|
||||
|
||||
@@ -1,127 +0,0 @@
|
||||
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()
|
||||
@@ -1,96 +0,0 @@
|
||||
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()
|
||||
|
||||
@@ -1,126 +0,0 @@
|
||||
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()
|
||||
@@ -1,232 +0,0 @@
|
||||
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()
|
||||
@@ -3,218 +3,310 @@ from SimPEG import *
|
||||
from SimPEG import EM
|
||||
|
||||
plotIt = False
|
||||
tol = 1e-6
|
||||
|
||||
testDeriv = True
|
||||
testAdjoint = True
|
||||
class TDEM_bDerivTests(unittest.TestCase):
|
||||
|
||||
TOL = 1e-5
|
||||
def setUp(self):
|
||||
|
||||
def setUp(prbtype='b', rxcomp='bz'):
|
||||
cs = 5.
|
||||
ncx = 20
|
||||
ncy = 15
|
||||
npad = 20
|
||||
hx = [(cs,ncx), (cs,npad,1.3)]
|
||||
hy = [(cs,npad,-1.3), (cs,ncy), (cs,npad,1.3)]
|
||||
mesh = Mesh.CylMesh([hx,1,hy], '00C')
|
||||
#
|
||||
active = mesh.vectorCCz<0.
|
||||
activeMap = Maps.InjectActiveCells(mesh, active, np.log(1e-8), nC=mesh.nCz)
|
||||
mapping = Maps.ExpMap(mesh) * Maps.SurjectVertical1D(mesh) * activeMap
|
||||
cs = 5.
|
||||
ncx = 20
|
||||
ncy = 6
|
||||
npad = 20
|
||||
hx = [(cs,ncx), (cs,npad,1.3)]
|
||||
hy = [(cs,npad,-1.3), (cs,ncy), (cs,npad,1.3)]
|
||||
mesh = Mesh.CylMesh([hx,1,hy], '00C')
|
||||
|
||||
rxOffset = 10.
|
||||
rx = EM.TDEM.Rx(np.array([[rxOffset, 0., -1e-2]]), np.logspace(-4,-3, 20), rxcomp) #,]
|
||||
src = EM.TDEM.Src.MagDipole([rx], loc=np.array([0., 0., 0.]))
|
||||
active = mesh.vectorCCz<0.
|
||||
activeMap = Maps.InjectActiveCells(mesh, active, np.log(1e-8), nC=mesh.nCz)
|
||||
mapping = Maps.ExpMap(mesh) * Maps.SurjectVertical1D(mesh) * activeMap
|
||||
|
||||
survey = EM.TDEM.Survey([src])
|
||||
rxOffset = 40.
|
||||
rx = EM.TDEM.RxTDEM(np.array([[rxOffset, 0., 0.]]), np.logspace(-4,-3, 20), 'bz')
|
||||
src = EM.TDEM.SrcTDEM_VMD_MVP([rx], loc=np.array([0., 0., 0.]))
|
||||
|
||||
if prbtype == 'b':
|
||||
prb = EM.TDEM.Problem_b(mesh, mapping=mapping)
|
||||
elif prbtype == 'e':
|
||||
prb = EM.TDEM.Problem_e(mesh, mapping=mapping)
|
||||
survey = EM.TDEM.SurveyTDEM([src])
|
||||
|
||||
prb.timeSteps = [(1e-05, 10), (5e-05, 10), (2.5e-4, 10)]
|
||||
# prb.timeSteps = [(1e-05, 10), (1e-05, 50), (1e-05, 50) ] #, (2.5e-4, 10)]
|
||||
self.prb = EM.TDEM.ProblemTDEM_b(mesh, mapping=mapping)
|
||||
# self.prb.timeSteps = [1e-5]
|
||||
self.prb.timeSteps = [(1e-05, 10), (5e-05, 10), (2.5e-4, 10)]
|
||||
# self.prb.timeSteps = [(1e-05, 100)]
|
||||
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
prb.Solver = MumpsSolver
|
||||
except ImportError, e:
|
||||
prb.Solver = SolverLU
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
self.prb.Solver = MumpsSolver
|
||||
except ImportError, e:
|
||||
self.prb.Solver = SolverLU
|
||||
|
||||
m = np.log(1e-1)*np.ones(prb.mapping.nP) + 1e-2*np.random.randn(prb.mapping.nP)
|
||||
self.sigma = np.ones(mesh.nCz)*1e-8
|
||||
self.sigma[mesh.vectorCCz<0] = 1e-1
|
||||
self.sigma = np.log(self.sigma[active])
|
||||
|
||||
prb.pair(survey)
|
||||
mesh = mesh
|
||||
self.prb.pair(survey)
|
||||
self.mesh = mesh
|
||||
|
||||
return prb, m, mesh
|
||||
def test_AhVec(self):
|
||||
"""
|
||||
Test that fields and AhVec produce consistent results
|
||||
"""
|
||||
|
||||
prb = self.prb
|
||||
sigma = self.sigma
|
||||
|
||||
u = prb.fields(sigma)
|
||||
Ahu = prb._AhVec(sigma, u)
|
||||
|
||||
V1 = Ahu[:,'b',1]
|
||||
V2 = 1./prb.timeSteps[0]*prb.MfMui*u[:,'b',0]
|
||||
self.assertLess(np.linalg.norm(V1-V2)/np.linalg.norm(V2), 1.e-6)
|
||||
|
||||
V1 = Ahu[:,'e',1]
|
||||
return np.linalg.norm(V1) < 1.e-6
|
||||
|
||||
for i in range(2,prb.nT):
|
||||
|
||||
dt = prb.timeSteps[i]
|
||||
|
||||
V1 = Ahu[:,'b',i]
|
||||
V2 = 1.0/dt*prb.MfMui*u[:,'b', i-1]
|
||||
# print np.linalg.norm(V1), np.linalg.norm(V2)
|
||||
self.assertLess(np.linalg.norm(V1)/np.linalg.norm(V2), 1.e-6)
|
||||
|
||||
V1 = Ahu[:,'e',i]
|
||||
V2 = prb.MeSigma*u[:,'e',i]
|
||||
# print np.linalg.norm(V1), np.linalg.norm(V2)
|
||||
return np.linalg.norm(V1)/np.linalg.norm(V2), 1.e-6
|
||||
|
||||
def test_AhVecVSMat_OneTS(self):
|
||||
|
||||
prb = self.prb
|
||||
prb.timeSteps = [1e-05]
|
||||
sigma = self.sigma
|
||||
prb.curModel = sigma
|
||||
|
||||
dt = prb.timeSteps[0]
|
||||
a11 = 1/dt*prb.MfMui*sp.identity(prb.mesh.nF)
|
||||
a12 = prb.MfMui*prb.mesh.edgeCurl
|
||||
a21 = prb.mesh.edgeCurl.T*prb.MfMui
|
||||
a22 = -prb.MeSigma
|
||||
A = sp.bmat([[a11,a12],[a21,a22]])
|
||||
|
||||
f = prb.fields(sigma)
|
||||
u1 = A*f.tovec()
|
||||
u2 = prb._AhVec(sigma,f).tovec()
|
||||
|
||||
self.assertTrue(np.linalg.norm(u1-u2)/np.linalg.norm(u1)<1e-12)
|
||||
|
||||
def test_solveAhVSMat_OneTS(self):
|
||||
prb = self.prb
|
||||
|
||||
prb.timeSteps = [1e-05]
|
||||
|
||||
sigma = self.sigma
|
||||
prb.curModel = sigma
|
||||
|
||||
dt = prb.timeSteps[0]
|
||||
a11 = 1.0/dt*prb.MfMui*sp.identity(prb.mesh.nF)
|
||||
a12 = prb.MfMui*prb.mesh.edgeCurl
|
||||
a21 = prb.mesh.edgeCurl.T*prb.MfMui
|
||||
a22 = -prb.MeSigma
|
||||
A = sp.bmat([[a11,a12],[a21,a22]])
|
||||
|
||||
f = prb.fields(sigma)
|
||||
f[:,:,0] = {'b':0}
|
||||
f[:,'b',1] = 0
|
||||
|
||||
self.assertTrue(np.all(np.r_[f[:,'b',1],f[:,'e',1]] == f.tovec()))
|
||||
|
||||
u1 = prb.solveAh(sigma,f).tovec().flatten()
|
||||
u2 = sp.linalg.spsolve(A.tocsr(),f.tovec())
|
||||
|
||||
self.assertTrue(np.linalg.norm(u1-u2)<1e-8)
|
||||
|
||||
def test_solveAhVsAhVec(self):
|
||||
|
||||
prb = self.prb
|
||||
mesh = self.prb.mesh
|
||||
sigma = self.sigma
|
||||
self.prb.curModel = sigma
|
||||
|
||||
f = EM.TDEM.FieldsTDEM(prb.mesh, prb.survey)
|
||||
f[:,'b',:] = 0.0
|
||||
for i in range(prb.nT):
|
||||
f[:,'e', i] = np.random.rand(mesh.nE, 1)
|
||||
|
||||
Ahf = prb._AhVec(sigma, f)
|
||||
f_test = prb.solveAh(sigma, Ahf)
|
||||
|
||||
u1 = f.tovec()
|
||||
u2 = f_test.tovec()
|
||||
self.assertTrue(np.linalg.norm(u1-u2)<1e-8)
|
||||
|
||||
def test_DerivG(self):
|
||||
"""
|
||||
Test the derivative of c with respect to sigma
|
||||
"""
|
||||
|
||||
# Random model and perturbation
|
||||
sigma = np.random.rand(self.prb.mapping.nP)
|
||||
|
||||
f = self.prb.fields(sigma)
|
||||
dm = 1000*np.random.rand(self.prb.mapping.nP)
|
||||
h = 0.01
|
||||
|
||||
derChk = lambda m: [self.prb._AhVec(m, f).tovec(), lambda mx: self.prb.Gvec(sigma, mx, u=f).tovec()]
|
||||
print '\ntest_DerivG'
|
||||
passed = Tests.checkDerivative(derChk, sigma, plotIt=False, dx=dm, num=4, eps=1e-20)
|
||||
return passed
|
||||
|
||||
def test_Deriv_dUdM(self):
|
||||
|
||||
prb = self.prb
|
||||
prb.timeSteps = [(1e-05, 10), (0.0001, 10), (0.001, 10)]
|
||||
mesh = self.mesh
|
||||
sigma = self.sigma
|
||||
|
||||
dm = 10*np.random.rand(prb.mapping.nP)
|
||||
f = prb.fields(sigma)
|
||||
|
||||
derChk = lambda m: [self.prb.fields(m).tovec(), lambda mx: -prb.solveAh(sigma, prb.Gvec(sigma, mx, u=f)).tovec()]
|
||||
print '\n'
|
||||
print 'test_Deriv_dUdM'
|
||||
Tests.checkDerivative(derChk, sigma, plotIt=False, dx=dm, num=4, eps=1e-20)
|
||||
|
||||
def test_Deriv_J(self):
|
||||
|
||||
prb = self.prb
|
||||
prb.timeSteps = [(1e-05, 10), (0.0001, 10), (0.001, 10)]
|
||||
mesh = self.mesh
|
||||
sigma = self.sigma
|
||||
|
||||
# d_sig = 0.8*sigma #np.random.rand(mesh.nCz)
|
||||
d_sig = 10*np.random.rand(prb.mapping.nP)
|
||||
|
||||
|
||||
class TDEM_DerivTests(unittest.TestCase):
|
||||
derChk = lambda m: [prb.survey.dpred(m), lambda mx: prb.Jvec(sigma, mx)]
|
||||
print '\n'
|
||||
print 'test_Deriv_J'
|
||||
Tests.checkDerivative(derChk, sigma, plotIt=False, dx=d_sig, num=4, eps=1e-20)
|
||||
|
||||
# ====== TEST A ========== #
|
||||
def test_projectAdjoint(self):
|
||||
prb = self.prb
|
||||
survey = prb.survey
|
||||
mesh = self.mesh
|
||||
|
||||
def AderivTest(self, prbtype):
|
||||
prb, m0, mesh = setUp(prbtype)
|
||||
tInd = 2
|
||||
if prbtype == 'b':
|
||||
nu = mesh.nF
|
||||
elif prbtype == 'e':
|
||||
nu = mesh.nE
|
||||
v = np.random.rand(nu)
|
||||
# Generate random fields and data
|
||||
f = EM.TDEM.FieldsTDEM(prb.mesh, prb.survey)
|
||||
for i in range(prb.nT):
|
||||
f[:,'b',i] = np.random.rand(mesh.nF, 1)
|
||||
f[:,'e',i] = np.random.rand(mesh.nE, 1)
|
||||
d_vec = np.random.rand(survey.nD)
|
||||
d = Survey.Data(survey,v=d_vec)
|
||||
|
||||
def AderivFun(m):
|
||||
prb.curModel = m
|
||||
A = prb.getAdiag(tInd)
|
||||
Av = A*v
|
||||
prb.curModel = m0
|
||||
ADeriv_dm = lambda dm: prb.getAdiagDeriv(tInd, v, dm)
|
||||
# Check that d.T*Q*f = f.T*Q.T*d
|
||||
V1 = d_vec.dot(survey.evalDeriv(None, v=f).tovec())
|
||||
V2 = f.tovec().dot(survey.evalDeriv(None, v=d, adjoint=True).tovec())
|
||||
|
||||
return Av, ADeriv_dm
|
||||
self.assertTrue((V1-V2)/np.abs(V1) < tol)
|
||||
|
||||
print '\n Testing ADeriv %s'%(prbtype)
|
||||
Tests.checkDerivative(AderivFun, m0, plotIt=False, num=4, eps=1e-20)
|
||||
def test_adjointAhVsAht(self):
|
||||
prb = self.prb
|
||||
mesh = self.mesh
|
||||
sigma = self.sigma
|
||||
|
||||
def A_adjointTest(self,prbtype):
|
||||
prb, m0, mesh = setUp(prbtype)
|
||||
tInd = 2
|
||||
f1 = EM.TDEM.FieldsTDEM(prb.mesh, prb.survey)
|
||||
for i in range(1,prb.nT+1):
|
||||
f1[:,'b',i] = np.random.rand(mesh.nF, 1)
|
||||
f1[:,'e',i] = np.random.rand(mesh.nE, 1)
|
||||
|
||||
print '\n Testing A_adjoint'
|
||||
m = np.random.rand(prb.mapping.nP)
|
||||
if prbtype == 'b':
|
||||
nu = prb.mesh.nF
|
||||
elif prbtype == 'e':
|
||||
nu = prb.mesh.nE
|
||||
f2 = EM.TDEM.FieldsTDEM(prb.mesh, prb.survey)
|
||||
for i in range(1,prb.nT+1):
|
||||
f2[:,'b',i] = np.random.rand(mesh.nF, 1)
|
||||
f2[:,'e',i] = np.random.rand(mesh.nE, 1)
|
||||
|
||||
v = np.random.rand(nu)
|
||||
u = np.random.rand(nu)
|
||||
prb.curModel = m0
|
||||
V1 = f2.tovec().dot(prb._AhVec(sigma, f1).tovec())
|
||||
V2 = f1.tovec().dot(prb._AhtVec(sigma, f2).tovec())
|
||||
self.assertTrue(np.abs(V1-V2)/np.abs(V1) < tol)
|
||||
|
||||
tInd = 2 # not actually used
|
||||
V1 = v.dot(prb.getAdiagDeriv(tInd, u, m))
|
||||
V2 = m.dot(prb.getAdiagDeriv(tInd, u, v, adjoint=True))
|
||||
passed = np.abs(V1-V2) < TOL * (np.abs(V1) + np.abs(V2))/2.
|
||||
print 'AdjointTest %s'%(prbtype), V1, V2, passed
|
||||
self.assertTrue(passed)
|
||||
# def test_solveAhtVsAhtVec(self):
|
||||
# prb = self.prb
|
||||
# mesh = self.mesh
|
||||
# sigma = np.random.rand(prb.mapping.nP)
|
||||
|
||||
def test_Aderiv_b(self):
|
||||
self.AderivTest('b')
|
||||
def test_Aderiv_e(self):
|
||||
self.AderivTest('e')
|
||||
# f1 = EM.TDEM.FieldsTDEM(mesh,prb.survey)
|
||||
# for i in range(1,prb.nT+1):
|
||||
# f1[:,'b',i] = np.random.rand(mesh.nF, 1)
|
||||
# f1[:,'e',i] = np.random.rand(mesh.nE, 1)
|
||||
|
||||
def test_Aadjoint_b(self):
|
||||
self.A_adjointTest('b')
|
||||
def test_Aadjoint_e(self):
|
||||
self.A_adjointTest('e')
|
||||
# f2 = prb.solveAht(sigma, f1)
|
||||
# f3 = prb._AhtVec(sigma, f2)
|
||||
|
||||
# ====== TEST Fields Deriv Pieces ========== #
|
||||
# if True:
|
||||
# import matplotlib.pyplot as plt
|
||||
# plt.plot(f3.tovec(),'b')
|
||||
# plt.plot(f1.tovec(),'r')
|
||||
# plt.show()
|
||||
# V1 = np.linalg.norm(f3.tovec()-f1.tovec())
|
||||
# V2 = np.linalg.norm(f1.tovec())
|
||||
# print 'AhtVsAhtVec', V1, V2, f1.tovec()
|
||||
# print 'I am gunna fail this one: boo. :('
|
||||
# self.assertLess(V1/V2, 1e-6)
|
||||
|
||||
def test_eDeriv_m_adjoint(self):
|
||||
prb, m0, mesh = setUp()
|
||||
tInd = 0
|
||||
# def test_adjointsolveAhVssolveAht(self):
|
||||
# prb = self.prb
|
||||
# mesh = self.mesh
|
||||
# sigma = self.sigma
|
||||
|
||||
v = np.random.rand(mesh.nF)
|
||||
# f1 = EM.TDEM.FieldsTDEM(prb.mesh, prb.survey)
|
||||
# for i in range(1,prb.nT+1):
|
||||
# f1[:,'b',i] = np.random.rand(mesh.nF, 1)
|
||||
# f1[:,'e',i] = np.random.rand(mesh.nE, 1)
|
||||
|
||||
print '\n Testing eDeriv_m Adjoint'
|
||||
# f2 = EM.TDEM.FieldsTDEM(prb.mesh, prb.survey)
|
||||
# for i in range(1,prb.nT+1):
|
||||
# f2[:,'b',i] = np.random.rand(mesh.nF, 1)
|
||||
# f2[:,'e',i] = np.random.rand(mesh.nE, 1)
|
||||
|
||||
prb, m0, mesh = setUp()
|
||||
f = prb.fields(m0)
|
||||
# V1 = f2.tovec().dot(prb.solveAh(sigma, f1).tovec())
|
||||
# V2 = f1.tovec().dot(prb.solveAht(sigma, f2).tovec())
|
||||
# print V1, V2
|
||||
# self.assertLess(np.abs(V1-V2)/np.abs(V1), 1e-6)
|
||||
|
||||
def test_adjointGvecVsGtvec(self):
|
||||
mesh = self.mesh
|
||||
prb = self.prb
|
||||
|
||||
m = np.random.rand(prb.mapping.nP)
|
||||
e = np.random.randn(prb.mesh.nE)
|
||||
V1 = e.dot(f._eDeriv_m(1, prb.survey.srcList[0], m))
|
||||
V2 = m.dot(f._eDeriv_m(1, prb.survey.srcList[0], e, adjoint=True))
|
||||
tol = TOL * (np.abs(V1) + np.abs(V2)) / 2.
|
||||
passed = np.abs(V1-V2) < tol
|
||||
sigma = np.random.rand(prb.mapping.nP)
|
||||
|
||||
print ' ', V1, V2, np.abs(V1-V2), tol, passed
|
||||
u = EM.TDEM.FieldsTDEM(prb.mesh, prb.survey)
|
||||
for i in range(1,prb.nT+1):
|
||||
u[:,'b',i] = np.random.rand(mesh.nF, 1)
|
||||
u[:,'e',i] = np.random.rand(mesh.nE, 1)
|
||||
|
||||
v = EM.TDEM.FieldsTDEM(prb.mesh, prb.survey)
|
||||
for i in range(1,prb.nT+1):
|
||||
v[:,'b',i] = np.random.rand(mesh.nF, 1)
|
||||
v[:,'e',i] = np.random.rand(mesh.nE, 1)
|
||||
|
||||
V1 = m.dot(prb.Gtvec(sigma, v, u))
|
||||
V2 = v.tovec().dot(prb.Gvec(sigma, m, u).tovec())
|
||||
self.assertTrue(np.abs(V1-V2)/np.abs(V1) < tol)
|
||||
|
||||
def test_adjointJvecVsJtvec(self):
|
||||
mesh = self.mesh
|
||||
prb = self.prb
|
||||
sigma = self.sigma
|
||||
|
||||
m = np.random.rand(prb.mapping.nP)
|
||||
d = np.random.rand(prb.survey.nD)
|
||||
|
||||
V1 = d.dot(prb.Jvec(sigma, m))
|
||||
V2 = m.dot(prb.Jtvec(sigma, d))
|
||||
passed = np.abs(V1-V2)/np.abs(V1) < tol
|
||||
print 'AdjointTest', V1, V2, passed
|
||||
self.assertTrue(passed)
|
||||
|
||||
def test_eDeriv_u_adjoint(self):
|
||||
print '\n Testing eDeriv_u Adjoint'
|
||||
|
||||
prb, m0, mesh = setUp()
|
||||
f = prb.fields(m0)
|
||||
|
||||
b = np.random.rand(prb.mesh.nF)
|
||||
e = np.random.randn(prb.mesh.nE)
|
||||
V1 = e.dot(f._eDeriv_u(1, prb.survey.srcList[0], b))
|
||||
V2 = b.dot(f._eDeriv_u(1, prb.survey.srcList[0], e, adjoint=True))
|
||||
tol = TOL * (np.abs(V1) + np.abs(V2)) / 2.
|
||||
passed = np.abs(V1-V2) < tol
|
||||
|
||||
print ' ', V1, V2, np.abs(V1-V2), tol, passed
|
||||
self.assertTrue(passed)
|
||||
|
||||
|
||||
# ====== TEST Jvec ========== #
|
||||
|
||||
if testDeriv:
|
||||
|
||||
def JvecTest(self, prbtype, rxcomp):
|
||||
prb, m, mesh = setUp(prbtype, rxcomp)
|
||||
|
||||
derChk = lambda m: [prb.survey.dpred(m), lambda mx: prb.Jvec(m, mx)]
|
||||
print '\n'
|
||||
print 'test_Jvec_%s_%s' %(prbtype, rxcomp)
|
||||
Tests.checkDerivative(derChk, m, plotIt=False, num=2, eps=1e-20)
|
||||
|
||||
def test_Jvec_b_bx(self):
|
||||
self.JvecTest('b','bx')
|
||||
|
||||
def test_Jvec_b_bz(self):
|
||||
self.JvecTest('b','bz')
|
||||
|
||||
def test_Jvec_b_dbxdt(self):
|
||||
self.JvecTest('b','dbxdt')
|
||||
|
||||
def test_Jvec_b_dbzdt(self):
|
||||
self.JvecTest('b','dbzdt')
|
||||
|
||||
def test_Jvec_b_ey(self):
|
||||
self.JvecTest('b','ey')
|
||||
|
||||
def test_Jvec_e_ey(self):
|
||||
self.JvecTest('e','ey')
|
||||
|
||||
|
||||
# ====== TEST Jtvec ========== #
|
||||
|
||||
if testAdjoint:
|
||||
|
||||
def JvecVsJtvecTest(self, prbtype='b', rxcomp='bz'):
|
||||
|
||||
print '\nAdjoint Testing Jvec, Jtvec %s' %(rxcomp)
|
||||
|
||||
prb, m0, mesh = setUp(prbtype, rxcomp)
|
||||
m = np.random.rand(prb.mapping.nP)
|
||||
d = np.random.randn(prb.survey.nD)
|
||||
V1 = d.dot(prb.Jvec(m0, m))
|
||||
V2 = m.dot(prb.Jtvec(m0, d))
|
||||
tol = TOL * (np.abs(V1) + np.abs(V2)) / 2.
|
||||
passed = np.abs(V1-V2) < tol
|
||||
|
||||
print ' ', V1, V2, np.abs(V1-V2), tol, passed
|
||||
self.assertTrue(passed)
|
||||
|
||||
def test_Jvec_adjoint_b_bx(self):
|
||||
self.JvecVsJtvecTest('b', 'bx')
|
||||
|
||||
def test_Jvec_adjoint_b_bz(self):
|
||||
self.JvecVsJtvecTest('b', 'bz')
|
||||
|
||||
def test_Jvec_adjoint_b_dbxdt(self):
|
||||
self.JvecVsJtvecTest('b', 'bx')
|
||||
|
||||
def test_Jvec_adjoint_b_dbzdt(self):
|
||||
self.JvecVsJtvecTest('b', 'bz')
|
||||
|
||||
def test_Jvec_adjoint_b_ey(self):
|
||||
self.JvecVsJtvecTest('b', 'ey')
|
||||
|
||||
# This is not working because Problem_e has not done
|
||||
# def test_Jvec_adjoint_e_ey(self):
|
||||
# self.JvecVsJtvecTest('e', 'ey')
|
||||
|
||||
|
||||
|
||||
|
||||
@@ -3,12 +3,10 @@ from SimPEG import *
|
||||
from SimPEG import EM
|
||||
|
||||
plotIt = False
|
||||
testDeriv = True
|
||||
testAdjoint = True
|
||||
|
||||
TOL = 1e-5
|
||||
class TDEM_bDerivTests(unittest.TestCase):
|
||||
|
||||
def setUp(self, rxcomp='bz'):
|
||||
def setUp(self):
|
||||
|
||||
cs = 5.
|
||||
ncx = 20
|
||||
@@ -23,78 +21,131 @@ def setUp(self, rxcomp='bz'):
|
||||
mapping = Maps.ExpMap(mesh) * Maps.SurjectVertical1D(mesh) * activeMap
|
||||
|
||||
rxOffset = 40.
|
||||
rx = EM.TDEM.Rx(np.array([[rxOffset, 0., 0.]]), np.logspace(-4,-3, 20), rxcomp)
|
||||
src = EM.TDEM.Src.MagDipole( [rx], loc=np.array([0., 0., 0.]))
|
||||
rx2 = EM.TDEM.Rx(np.array([[rxOffset-10, 0., 0.]]), np.logspace(-5,-4, 25), rxcomp)
|
||||
src2 = EM.TDEM.Src.MagDipole( [rx2], loc=np.array([0., 0., 0.]))
|
||||
rx = EM.TDEM.RxTDEM(np.array([[rxOffset, 0., 0.]]), np.logspace(-4,-3, 20), 'bz')
|
||||
src = EM.TDEM.SrcTDEM_VMD_MVP( [rx], loc=np.array([0., 0., 0.]))
|
||||
rx2 = EM.TDEM.RxTDEM(np.array([[rxOffset-10, 0., 0.]]), np.logspace(-5,-4, 25), 'bz')
|
||||
src2 = EM.TDEM.SrcTDEM_VMD_MVP( [rx2], loc=np.array([0., 0., 0.]))
|
||||
|
||||
survey = EM.TDEM.Survey([src,src2])
|
||||
survey = EM.TDEM.SurveyTDEM([src,src2])
|
||||
|
||||
prb = EM.TDEM.Problem_b(mesh, mapping=mapping)
|
||||
# prb.timeSteps = [1e-5]
|
||||
prb.timeSteps = [(1e-05, 10), (5e-05, 10), (2.5e-4, 10)]
|
||||
# prb.timeSteps = [(1e-05, 100)]
|
||||
self.prb = EM.TDEM.ProblemTDEM_b(mesh, mapping=mapping)
|
||||
# self.prb.timeSteps = [1e-5]
|
||||
self.prb.timeSteps = [(1e-05, 10), (5e-05, 10), (2.5e-4, 10)]
|
||||
# self.prb.timeSteps = [(1e-05, 100)]
|
||||
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
prb.Solver = MumpsSolver
|
||||
self.prb.Solver = MumpsSolver
|
||||
except ImportError, e:
|
||||
prb.Solver = SolverLU
|
||||
self.prb.Solver = SolverLU
|
||||
|
||||
m = np.log(1e-1)*np.ones(prb.mapping.nP) + 1e-2*np.random.randn(prb.mapping.nP)
|
||||
self.sigma = np.ones(mesh.nCz)*1e-8
|
||||
self.sigma[mesh.vectorCCz<0] = 1e-1
|
||||
self.sigma = np.log(self.sigma[active])
|
||||
|
||||
prb.pair(survey)
|
||||
self.prb.pair(survey)
|
||||
self.mesh = mesh
|
||||
|
||||
return mesh, prb, m
|
||||
def test_DerivG(self):
|
||||
"""
|
||||
Test the derivative of c with respect to sigma
|
||||
"""
|
||||
|
||||
class TDEM_bDerivTests(unittest.TestCase):
|
||||
# Random model and perturbation
|
||||
sigma = np.random.rand(self.prb.mapping.nP)
|
||||
|
||||
f = self.prb.fields(sigma)
|
||||
dm = 1000*np.random.rand(self.prb.mapping.nP)
|
||||
h = 0.01
|
||||
|
||||
derChk = lambda m: [self.prb._AhVec(m, f).tovec(), lambda mx: self.prb.Gvec(sigma, mx, u=f).tovec()]
|
||||
print '\ntest_DerivG'
|
||||
Tests.checkDerivative(derChk, sigma, plotIt=False, dx=dm, num=4, eps=1e-20)
|
||||
|
||||
def test_Deriv_dUdM(self):
|
||||
|
||||
prb = self.prb
|
||||
prb.timeSteps = [(1e-05, 10), (0.0001, 10), (0.001, 10)]
|
||||
mesh = self.mesh
|
||||
sigma = self.sigma
|
||||
|
||||
dm = 10*np.random.rand(prb.mapping.nP)
|
||||
f = prb.fields(sigma)
|
||||
|
||||
derChk = lambda m: [self.prb.fields(m).tovec(), lambda mx: -prb.solveAh(sigma, prb.Gvec(sigma, mx, u=f)).tovec()]
|
||||
print '\n'
|
||||
print 'test_Deriv_dUdM'
|
||||
Tests.checkDerivative(derChk, sigma, plotIt=False, dx=dm, num=4, eps=1e-20)
|
||||
|
||||
def test_Deriv_J(self):
|
||||
|
||||
prb = self.prb
|
||||
prb.timeSteps = [(1e-05, 10), (0.0001, 10), (0.001, 10)]
|
||||
mesh = self.mesh
|
||||
sigma = self.sigma
|
||||
|
||||
# d_sig = 0.8*sigma #np.random.rand(mesh.nCz)
|
||||
d_sig = 10*np.random.rand(prb.mapping.nP)
|
||||
|
||||
|
||||
if testDeriv:
|
||||
def Deriv_J(self, rxcomp='bz'):
|
||||
derChk = lambda m: [prb.survey.dpred(m), lambda mx: prb.Jvec(sigma, mx)]
|
||||
print '\n'
|
||||
print 'test_Deriv_J'
|
||||
Tests.checkDerivative(derChk, sigma, plotIt=False, dx=d_sig, num=4, eps=1e-20)
|
||||
|
||||
mesh, prb, m0 = setUp(rxcomp)
|
||||
def test_projectAdjoint(self):
|
||||
prb = self.prb
|
||||
survey = prb.survey
|
||||
nSrc = survey.nSrc
|
||||
mesh = self.mesh
|
||||
|
||||
prb.timeSteps = [(1e-05, 10), (0.0001, 10), (0.001, 10)]
|
||||
# Generate random fields and data
|
||||
f = EM.TDEM.FieldsTDEM(prb.mesh, prb.survey)
|
||||
for i in range(prb.nT):
|
||||
f[:,'b',i] = np.random.rand(mesh.nF, nSrc)
|
||||
f[:,'e',i] = np.random.rand(mesh.nE, nSrc)
|
||||
d_vec = np.random.rand(survey.nD)
|
||||
d = Survey.Data(survey,v=d_vec)
|
||||
|
||||
derChk = lambda m: [prb.survey.dpred(m), lambda mx: prb.Jvec(m0, mx)]
|
||||
print '\n'
|
||||
print 'test_Deriv_J %s'%rxcomp
|
||||
Tests.checkDerivative(derChk, m0, plotIt=False, num=3, eps=1e-20)
|
||||
# Check that d.T*Q*f = f.T*Q.T*d
|
||||
V1 = d_vec.dot(survey.evalDeriv(None, v=f).tovec())
|
||||
V2 = np.sum((f.tovec())*(survey.evalDeriv(None, v=d, adjoint=True).tovec()))
|
||||
|
||||
def test_Jvec_bx(self):
|
||||
self.Deriv_J('bx')
|
||||
self.assertTrue((V1-V2)/np.abs(V1) < 1e-6)
|
||||
|
||||
def test_Jvec_bz(self):
|
||||
self.Deriv_J('bz')
|
||||
def test_adjointGvecVsGtvec(self):
|
||||
mesh = self.mesh
|
||||
prb = self.prb
|
||||
|
||||
def test_Jvec_ey(self):
|
||||
self.Deriv_J('ey')
|
||||
m = np.random.rand(prb.mapping.nP)
|
||||
sigma = np.random.rand(prb.mapping.nP)
|
||||
|
||||
if testAdjoint:
|
||||
def adjointJvecVsJtvec(self, rxcomp='bz'):
|
||||
print ' \n Testing Adjoint %s' %rxcomp
|
||||
mesh, prb, m0 = setUp(rxcomp)
|
||||
u = EM.TDEM.FieldsTDEM(prb.mesh, prb.survey)
|
||||
for i in range(1,prb.nT+1):
|
||||
u[:,'b',i] = np.random.rand(mesh.nF, 2)
|
||||
u[:,'e',i] = np.random.rand(mesh.nE, 2)
|
||||
|
||||
m = np.random.rand(prb.mapping.nP)
|
||||
d = np.random.rand(prb.survey.nD)
|
||||
v = EM.TDEM.FieldsTDEM(prb.mesh, prb.survey)
|
||||
for i in range(1,prb.nT+1):
|
||||
v[:,'b',i] = np.random.rand(mesh.nF, 2)
|
||||
v[:,'e',i] = np.random.rand(mesh.nE, 2)
|
||||
|
||||
V1 = d.dot(prb.Jvec(m0, m))
|
||||
V2 = m.dot(prb.Jtvec(m0, d))
|
||||
V1 = m.dot(prb.Gtvec(sigma, v, u))
|
||||
V2 = np.sum(v.tovec()*prb.Gvec(sigma, m, u).tovec())
|
||||
self.assertTrue(np.abs(V1-V2)/np.abs(V1) <1e-6)
|
||||
|
||||
tol = TOL * (np.abs(V1) + np.abs(V2)) / 2.
|
||||
passed = np.abs(V1-V2) < tol
|
||||
print ' ', V1, V2, np.abs(V1-V2), tol, passed
|
||||
self.assertTrue(passed)
|
||||
def test_adjointJvecVsJtvec(self):
|
||||
mesh = self.mesh
|
||||
prb = self.prb
|
||||
sigma = self.sigma
|
||||
|
||||
def test_JvecVsJtvec_bx(self):
|
||||
self.adjointJvecVsJtvec('bx')
|
||||
m = np.random.rand(prb.mapping.nP)
|
||||
d = np.random.rand(prb.survey.nD)
|
||||
|
||||
def test_JvecVsJtvec_bz(self):
|
||||
self.adjointJvecVsJtvec('bz')
|
||||
|
||||
def test_JvecVsJtvec_ey(self):
|
||||
self.adjointJvecVsJtvec('ey')
|
||||
V1 = d.dot(prb.Jvec(sigma, m))
|
||||
V2 = m.dot(prb.Jtvec(sigma, d))
|
||||
print 'AdjointTest', V1, V2
|
||||
self.assertTrue(np.abs(V1-V2)/np.abs(V1) < 1e-6)
|
||||
|
||||
|
||||
|
||||
|
||||
@@ -0,0 +1,94 @@
|
||||
import unittest
|
||||
from SimPEG import *
|
||||
from SimPEG import EM
|
||||
|
||||
plotIt = False
|
||||
|
||||
def getProb(meshType='CYL',rxTypes='bx,bz',nSrc=1):
|
||||
cs = 5.
|
||||
ncx = 20
|
||||
ncy = 6
|
||||
npad = 20
|
||||
hx = [(cs,ncx), (cs,npad,1.3)]
|
||||
hy = [(cs,npad,-1.3), (cs,ncy), (cs,npad,1.3)]
|
||||
mesh = Mesh.CylMesh([hx,1,hy], '00C')
|
||||
|
||||
active = mesh.vectorCCz<0.
|
||||
activeMap = Maps.InjectActiveCells(mesh, active, np.log(1e-8), nC=mesh.nCz)
|
||||
mapping = Maps.ExpMap(mesh) * Maps.SurjectVertical1D(mesh) * activeMap
|
||||
|
||||
rxOffset = 40.
|
||||
|
||||
srcs = []
|
||||
for ii in range(nSrc):
|
||||
rxs = [EM.TDEM.RxTDEM(np.array([[rxOffset, 0., 0.]]), np.logspace(-4,-3, 20 + ii), rxType) for rxType in rxTypes.split(',')]
|
||||
srcs += [EM.TDEM.SrcTDEM_VMD_MVP(rxs,np.array([0., 0., 0.]))]
|
||||
|
||||
survey = EM.TDEM.SurveyTDEM(srcs)
|
||||
|
||||
prb = EM.TDEM.ProblemTDEM_b(mesh, mapping=mapping)
|
||||
# prb.timeSteps = [1e-5]
|
||||
prb.timeSteps = [(1e-05, 10), (5e-05, 10), (2.5e-4, 10)]
|
||||
# prb.timeSteps = [(1e-05, 100)]
|
||||
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
prb.Solver = MumpsSolver
|
||||
except ImportError, e:
|
||||
prb.Solver = SolverLU
|
||||
|
||||
sigma = np.ones(mesh.nCz)*1e-8
|
||||
sigma[mesh.vectorCCz<0] = 1e-1
|
||||
sigma = np.log(sigma[active])
|
||||
|
||||
prb.pair(survey)
|
||||
return prb, mesh, sigma
|
||||
|
||||
def dotestJvec(prb, mesh, sigma):
|
||||
prb.timeSteps = [(1e-05, 10), (0.0001, 10), (0.001, 10)]
|
||||
# d_sig = 0.8*sigma #np.random.rand(mesh.nCz)
|
||||
d_sig = 10*np.random.rand(prb.mapping.nP)
|
||||
derChk = lambda m: [prb.survey.dpred(m), lambda mx: prb.Jvec(sigma, mx)]
|
||||
return Tests.checkDerivative(derChk, sigma, plotIt=False, dx=d_sig, num=2, eps=1e-20)
|
||||
|
||||
def dotestAdjoint(prb, mesh, sigma):
|
||||
m = np.random.rand(prb.mapping.nP)
|
||||
d = np.random.rand(prb.survey.nD)
|
||||
|
||||
V1 = d.dot(prb.Jvec(sigma, m))
|
||||
V2 = m.dot(prb.Jtvec(sigma, d))
|
||||
print 'AdjointTest', V1, V2
|
||||
return np.abs(V1-V2)/np.abs(V1), 1e-6
|
||||
|
||||
class TDEM_bDerivTests(unittest.TestCase):
|
||||
|
||||
def test_Jvec_bx(self): self.assertTrue(dotestJvec(*getProb(rxTypes='bx')))
|
||||
def test_Adjoint_bx(self): self.assertLess(*dotestAdjoint(*getProb(rxTypes='bx')))
|
||||
|
||||
def test_Jvec_bxbz(self): self.assertTrue(dotestJvec(*getProb(rxTypes='bx,bz')))
|
||||
def test_Adjoint_bxbz(self): self.assertLess(*dotestAdjoint(*getProb(rxTypes='bx,bz')))
|
||||
|
||||
def test_Jvec_bxbz_2src(self): self.assertTrue(dotestJvec(*getProb(rxTypes='bx,bz',nSrc=2)))
|
||||
def test_Adjoint_bxbz_2src(self): self.assertLess(*dotestAdjoint(*getProb(rxTypes='bx,bz',nSrc=2)))
|
||||
|
||||
def test_Jvec_bxbzbz(self): self.assertTrue(dotestJvec(*getProb(rxTypes='bx,bz,bz')))
|
||||
def test_Adjoint_bxbzbz(self): self.assertLess(*dotestAdjoint(*getProb(rxTypes='bx,bz,bz')))
|
||||
|
||||
def test_Jvec_dbxdt(self): self.assertTrue(dotestJvec(*getProb(rxTypes='dbxdt')))
|
||||
def test_Adjoint_dbxdt(self): self.assertLess(*dotestAdjoint(*getProb(rxTypes='dbxdt')))
|
||||
|
||||
def test_Jvec_dbzdt(self): self.assertTrue(dotestJvec(*getProb(rxTypes='dbzdt')))
|
||||
def test_Adjoint_dbzdt(self): self.assertLess(*dotestAdjoint(*getProb(rxTypes='dbzdt')))
|
||||
|
||||
def test_Jvec_dbxdtbz(self): self.assertTrue(dotestJvec(*getProb(rxTypes='dbxdt,bz')))
|
||||
def test_Adjoint_dbxdtbz(self): self.assertLess(*dotestAdjoint(*getProb(rxTypes='dbxdt,bz')))
|
||||
|
||||
def test_Jvec_ey(self): self.assertTrue(dotestJvec(*getProb(rxTypes='ey')))
|
||||
def test_Adjoint_ey(self): self.assertLess(*dotestAdjoint(*getProb(rxTypes='ey')))
|
||||
|
||||
def test_Jvec_eybzdbxdt(self): self.assertTrue(dotestJvec(*getProb(rxTypes='ey,bz,dbxdt')))
|
||||
def test_Adjoint_eybzdbxdt(self): self.assertLess(*dotestAdjoint(*getProb(rxTypes='ey,bz,dbxdt')))
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
unittest.main()
|
||||
@@ -1,76 +0,0 @@
|
||||
import unittest
|
||||
from SimPEG import *
|
||||
from SimPEG import EM
|
||||
|
||||
TOL = 1e-5
|
||||
FLR = 1e-20
|
||||
|
||||
np.random.seed(seed=25) # set a seed so that the same conductivity model is used for all runs
|
||||
|
||||
def setUp(prbtype = 'b', rxcomp='bz'):
|
||||
cs = 5.
|
||||
ncx = 20
|
||||
ncy = 15
|
||||
npad = 20
|
||||
hx = [(cs,ncx), (cs,npad,1.3)]
|
||||
hy = [(cs,npad,-1.3), (cs,ncy), (cs,npad,1.3)]
|
||||
mesh = Mesh.CylMesh([hx,1,hy], '00C')
|
||||
#
|
||||
active = mesh.vectorCCz<0.
|
||||
activeMap = Maps.InjectActiveCells(mesh, active, np.log(1e-8), nC=mesh.nCz)
|
||||
mapping = Maps.ExpMap(mesh) * Maps.SurjectVertical1D(mesh) * activeMap
|
||||
|
||||
rxOffset = 10.
|
||||
rx = EM.TDEM.Rx(np.array([[rxOffset, 0., -1e-2]]), np.logspace(-4,-3, 20), rxcomp) #,]
|
||||
src = EM.TDEM.Src.MagDipole([rx], loc=np.array([0., 0., 0.]))
|
||||
|
||||
survey = EM.TDEM.Survey([src])
|
||||
|
||||
if prbtype == 'b':
|
||||
prb = EM.TDEM.Problem_b(mesh, mapping=mapping)
|
||||
elif prbtype == 'e':
|
||||
prb = EM.TDEM.Problem_e(mesh, mapping=mapping)
|
||||
|
||||
prb.timeSteps = [(1e-05, 10), (5e-05, 10), (2.5e-4, 10)]
|
||||
# prb.timeSteps = [(1e-05, 10), (1e-05, 50), (1e-05, 50) ] #, (2.5e-4, 10)]
|
||||
|
||||
try:
|
||||
from pymatsolver import MumpsSolver
|
||||
prb.Solver = MumpsSolver
|
||||
except ImportError, e:
|
||||
prb.Solver = SolverLU
|
||||
|
||||
m = np.log(1e-1)*np.ones(prb.mapping.nP) #+ 1e-2*np.random.randn(prb.mapping.nP)
|
||||
|
||||
prb.pair(survey)
|
||||
mesh = mesh
|
||||
|
||||
return prb, m, mesh
|
||||
|
||||
def CrossCheck(prbtype1='b', prbtype2='e', rxcomp='bz'):
|
||||
|
||||
prb1,m1,mesh1 = setUp(prbtype1, rxcomp)
|
||||
prb2,m2,mesh2 = setUp(prbtype2, rxcomp)
|
||||
|
||||
assert (m1 == m2).all(), 'Models for two formulations are different'
|
||||
|
||||
d1 = prb1.survey.dpred(m1)
|
||||
d2 = prb2.survey.dpred(m2)
|
||||
|
||||
|
||||
check = np.linalg.norm(d1 - d2)
|
||||
tol = 0.5 * (np.linalg.norm(d1) + np.linalg.norm(d2)) * TOL
|
||||
passed = check < tol
|
||||
|
||||
print 'Checking %s, %s for %s data'%(prbtype1, prbtype2, rxcomp)
|
||||
print ' ', np.linalg.norm(d1), np.linalg.norm(d2), np.linalg.norm(check), tol, passed
|
||||
|
||||
assert passed
|
||||
|
||||
class TDEM_cross_check_EB(unittest.TestCase):
|
||||
def test_EB_ey(self):
|
||||
CrossCheck('b','e','ey')
|
||||
|
||||
if __name__ == '__main__':
|
||||
unittest.main()
|
||||
|
||||
@@ -29,12 +29,12 @@ def halfSpaceProblemAnaDiff(meshType, sig_half=1e-2, rxOffset=50., bounds=None,
|
||||
actMap = Maps.InjectActiveCells(mesh, active, np.log(1e-8), nC=mesh.nCz)
|
||||
mapping = Maps.ExpMap(mesh) * Maps.SurjectVertical1D(mesh) * actMap
|
||||
|
||||
rx = EM.TDEM.Rx(np.array([[rxOffset, 0., 0.]]), np.logspace(-5,-4, 21), 'bz')
|
||||
src = EM.TDEM.Src.MagDipole([rx], waveform= EM.TDEM.Src.StepOffWaveform(), loc=np.array([0., 0., 0.]))
|
||||
rx = EM.TDEM.RxTDEM(np.array([[rxOffset, 0., 0.]]), np.logspace(-5,-4, 21), 'bz')
|
||||
src = EM.TDEM.SrcTDEM_VMD_MVP([rx], loc=np.array([0., 0., 0.]))
|
||||
# src = EM.TDEM.SrcTDEM([rx], loc=np.array([0., 0., 0.]))
|
||||
|
||||
survey = EM.TDEM.Survey([src])
|
||||
prb = EM.TDEM.Problem_b(mesh, mapping=mapping)
|
||||
survey = EM.TDEM.SurveyTDEM([src])
|
||||
prb = EM.TDEM.ProblemTDEM_b(mesh, mapping=mapping)
|
||||
prb.Solver = MumpsSolver
|
||||
|
||||
prb.timeSteps = [(1e-06, 40), (5e-06, 40), (1e-05, 40), (5e-05, 40), (0.0001, 40), (0.0005, 40)]
|
||||
@@ -50,8 +50,6 @@ def halfSpaceProblemAnaDiff(meshType, sig_half=1e-2, rxOffset=50., bounds=None,
|
||||
|
||||
ind = np.logical_and(rx.times > bounds[0],rx.times < bounds[1])
|
||||
log10diff = np.linalg.norm(np.log10(np.abs(bz_calc[ind])) - np.log10(np.abs(bz_ana[ind])))/np.linalg.norm(np.log10(np.abs(bz_ana[ind])))
|
||||
|
||||
print ' |bz_ana| = ',np.linalg.norm(bz_ana), ' |bz_num| = ', np.linalg.norm(bz_calc), ' |bz_ana - bz_num| =', np.linalg.norm(bz_ana-bz_calc)
|
||||
print 'Difference: ', log10diff
|
||||
|
||||
if showIt == True:
|
||||
@@ -63,12 +61,6 @@ def halfSpaceProblemAnaDiff(meshType, sig_half=1e-2, rxOffset=50., bounds=None,
|
||||
return log10diff
|
||||
|
||||
|
||||
class TDEM_SimpleSrcTests(unittest.TestCase):
|
||||
def test_source(self):
|
||||
waveform = EM.TDEM.Src.StepOffWaveform()
|
||||
assert waveform.eval(0.) == 0.
|
||||
|
||||
|
||||
class TDEM_bTests(unittest.TestCase):
|
||||
|
||||
def test_analytic_p2_CYL_50m(self):
|
||||
|
||||
@@ -1,411 +0,0 @@
|
||||
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()
|
||||
@@ -146,20 +146,6 @@ class TestCyl2DMesh(unittest.TestCase):
|
||||
|
||||
assert np.abs(Pr*(Pc2r*mc) - Pc*mc).max() < 1e-3
|
||||
|
||||
def test_getInterpMatCartMesh_Cells2Nodes(self):
|
||||
|
||||
Mr = Mesh.TensorMesh([100,100,2], x0='CC0')
|
||||
Mc = Mesh.CylMesh([np.ones(10)/5,1,10],x0='0C0',cartesianOrigin=[-0.2,-0.2,0])
|
||||
|
||||
mc = np.arange(Mc.nC)
|
||||
xr = np.linspace(0,0.4,50)
|
||||
xc = np.linspace(0,0.4,50) + 0.2
|
||||
Pr = Mr.getInterpolationMat(np.c_[xr,np.ones(50)*-0.2,np.ones(50)*0.5],'N')
|
||||
Pc = Mc.getInterpolationMat(np.c_[xc,np.zeros(50),np.ones(50)*0.5],'CC')
|
||||
Pc2r = Mc.getInterpolationMatCartMesh(Mr, 'CC', locTypeTo='N')
|
||||
|
||||
assert np.abs(Pr*(Pc2r*mc) - Pc*mc).max() < 1e-3
|
||||
|
||||
def test_getInterpMatCartMesh_Faces(self):
|
||||
|
||||
Mr = Mesh.TensorMesh([100,100,2], x0='CC0')
|
||||
@@ -191,37 +177,6 @@ class TestCyl2DMesh(unittest.TestCase):
|
||||
assert np.abs(mag[dist > 0.1].min() - 1) < TOL
|
||||
|
||||
|
||||
def test_getInterpMatCartMesh_Faces2Edges(self):
|
||||
|
||||
Mr = Mesh.TensorMesh([100,100,2], x0='CC0')
|
||||
Mc = Mesh.CylMesh([np.ones(10)/5,1,10],x0='0C0',cartesianOrigin=[-0.2,-0.2,0])
|
||||
|
||||
Pf2e = Mc.getInterpolationMatCartMesh(Mr, 'F', locTypeTo='E')
|
||||
mf = np.ones(Mc.nF)
|
||||
|
||||
ecart = Pf2e * mf
|
||||
|
||||
excc = Mr.aveEx2CC*Mr.r(ecart, 'E', 'Ex')
|
||||
eycc = Mr.aveEy2CC*Mr.r(ecart, 'E', 'Ey')
|
||||
ezcc = Mr.r(ecart, 'E', 'Ez')
|
||||
|
||||
indX = Utils.closestPoints(Mr, [0.45, -0.2, 0.5])
|
||||
indY = Utils.closestPoints(Mr, [-0.2, 0.45, 0.5])
|
||||
|
||||
TOL = 1e-2
|
||||
assert np.abs(float(excc[indX]) - 1) < TOL
|
||||
assert np.abs(float(excc[indY]) - 0) < TOL
|
||||
assert np.abs(float(eycc[indX]) - 0) < TOL
|
||||
assert np.abs(float(eycc[indY]) - 1) < TOL
|
||||
assert np.abs((ezcc - 1).sum()) < TOL
|
||||
|
||||
mag = (excc**2 + eycc**2)**0.5
|
||||
dist = ((Mr.gridCC[:,0] + 0.2)**2 + (Mr.gridCC[:,1] + 0.2)**2)**0.5
|
||||
|
||||
assert np.abs(mag[dist > 0.1].max() - 1) < TOL
|
||||
assert np.abs(mag[dist > 0.1].min() - 1) < TOL
|
||||
|
||||
|
||||
def test_getInterpMatCartMesh_Edges(self):
|
||||
|
||||
Mr = Mesh.TensorMesh([100,100,2], x0='CC0')
|
||||
@@ -230,42 +185,11 @@ class TestCyl2DMesh(unittest.TestCase):
|
||||
Pe = Mc.getInterpolationMatCartMesh(Mr, 'E')
|
||||
me = np.ones(Mc.nE)
|
||||
|
||||
ecart = Pe * me
|
||||
erect = Pe * me
|
||||
|
||||
excc = Mr.aveEx2CC*Mr.r(ecart, 'E', 'Ex')
|
||||
eycc = Mr.aveEy2CC*Mr.r(ecart, 'E', 'Ey')
|
||||
ezcc = Mr.aveEz2CC*Mr.r(ecart, 'E', 'Ez')
|
||||
|
||||
indX = Utils.closestPoints(Mr, [0.45, -0.2, 0.5])
|
||||
indY = Utils.closestPoints(Mr, [-0.2, 0.45, 0.5])
|
||||
|
||||
TOL = 1e-2
|
||||
assert np.abs(float(excc[indX]) - 0) < TOL
|
||||
assert np.abs(float(excc[indY]) + 1) < TOL
|
||||
assert np.abs(float(eycc[indX]) - 1) < TOL
|
||||
assert np.abs(float(eycc[indY]) - 0) < TOL
|
||||
assert np.abs(ezcc.sum()) < TOL
|
||||
|
||||
mag = (excc**2 + eycc**2)**0.5
|
||||
dist = ((Mr.gridCC[:,0] + 0.2)**2 + (Mr.gridCC[:,1] + 0.2)**2)**0.5
|
||||
|
||||
assert np.abs(mag[dist > 0.1].max() - 1) < TOL
|
||||
assert np.abs(mag[dist > 0.1].min() - 1) < TOL
|
||||
|
||||
|
||||
def test_getInterpMatCartMesh_Edges2Faces(self):
|
||||
|
||||
Mr = Mesh.TensorMesh([100,100,2], x0='CC0')
|
||||
Mc = Mesh.CylMesh([np.ones(10)/5,1,10],x0='0C0',cartesianOrigin=[-0.2,-0.2,0])
|
||||
|
||||
Pe2f = Mc.getInterpolationMatCartMesh(Mr, 'E', locTypeTo='F')
|
||||
me = np.ones(Mc.nE)
|
||||
|
||||
frect = Pe2f * me
|
||||
|
||||
excc = Mr.aveFx2CC*Mr.r(frect, 'F', 'Fx')
|
||||
eycc = Mr.aveFy2CC*Mr.r(frect, 'F', 'Fy')
|
||||
ezcc = Mr.r(frect, 'F', 'Fz')
|
||||
excc = Mr.aveEx2CC*Mr.r(erect, 'E', 'Ex')
|
||||
eycc = Mr.aveEy2CC*Mr.r(erect, 'E', 'Ey')
|
||||
ezcc = Mr.r(erect, 'E', 'Ez')
|
||||
|
||||
indX = Utils.closestPoints(Mr, [0.45, -0.2, 0.5])
|
||||
indY = Utils.closestPoints(Mr, [-0.2, 0.45, 0.5])
|
||||
|
||||
Reference in New Issue
Block a user