Merge branch 'em/dev' into em/primsec

# Conflicts:
#	SimPEG/EM/FDEM/SrcFDEM.py
#	tests/em/fdem/inverse/adjoint/test_FDEM_adjointEB.py
This commit is contained in:
Lindsey Heagy
2016-03-28 12:54:51 -07:00
83 changed files with 8044 additions and 821 deletions
-33
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@@ -13,37 +13,4 @@ def k(freq, sigma, mu=mu_0, eps=epsilon_0):
beta = w * np.sqrt( mu*eps/2 * ( np.sqrt(1. + (sigma / (eps*w))**2 ) - 1) )
return alp - 1j*beta
# Constitutive relations
def e_from_j(prob,j):
eqLocs = prob._eqLocs
if eqLocs is 'FE':
MSigmaI = prob.MeSigmaI
elif eqLocs is 'EF':
MSigmaI = prob.MfRho
return MSigmaI*j
def j_from_e(prob,e):
eqLocs = prob._eqLocs
if eqLocs is 'FE':
MSigma = prob.MeSigma
elif eqLocs is 'EF':
MSigma = prob.MfRhoI
return MSigma*e
def b_from_h(prob,h):
eqLocs = prob._eqLocs
if eqLocs is 'FE':
MMu = prob.MfMuiI
elif eqLocs is 'EF':
MMu = prob.MeMu
return MMu*h
def h_from_b(prob,b):
eqLocs = prob._eqLocs
if eqLocs is 'FE':
MMuI = prob.MfMui
elif eqLocs is 'EF':
MMuI = prob.MeMuI
return MMuI*b
+1 -4
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@@ -1,5 +1,2 @@
# import Sources
# import Ana
# import Solver
from EMUtils import omega, e_from_j, j_from_e, b_from_h, h_from_b
from EMUtils import omega, k
from AnalyticUtils import MagneticDipoleFields, MagneticDipoleVectorPotential, MagneticLoopVectorPotential
+64 -13
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@@ -4,19 +4,28 @@ from SimPEG import EM
import sys
from scipy.constants import mu_0
def getFDEMProblem(fdemType, comp, SrcList, freq, verbose=False):
cs = 5.
ncx, ncy, ncz = 6, 6, 6
npad = 3
FLR = 1e-20 # "zero", so if residual below this --> pass regardless of order
CONDUCTIVITY = 1e1
MU = mu_0
freq = 5e-1
def getFDEMProblem(fdemType, comp, SrcList, freq, useMu=False, verbose=False):
cs = 10.
ncx, ncy, ncz = 0, 0, 0
npad = 8
hx = [(cs,npad,-1.3), (cs,ncx), (cs,npad,1.3)]
hy = [(cs,npad,-1.3), (cs,ncy), (cs,npad,1.3)]
hz = [(cs,npad,-1.3), (cs,ncz), (cs,npad,1.3)]
mesh = Mesh.TensorMesh([hx,hy,hz],['C','C','C'])
mapping = Maps.ExpMap(mesh)
if useMu is True:
mapping = [('sigma', Maps.ExpMap(mesh)), ('mu', Maps.IdentityMap(mesh))]
else:
mapping = Maps.ExpMap(mesh)
x = np.array([np.linspace(-30,-15,3),np.linspace(15,30,3)]) #don't sample right by the source
XYZ = Utils.ndgrid(x,x,np.r_[0.])
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 = EM.FDEM.Rx(XYZ, comp)
Src = []
@@ -32,15 +41,15 @@ def getFDEMProblem(fdemType, comp, SrcList, freq, verbose=False):
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])] = 1.
S_e[Utils.closestPoints(mesh,[0.,0.,0.],'Ez') + np.sum(mesh.vnE[:1])] = 1.
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, 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])] = 1.
S_e[Utils.closestPoints(mesh,[0.,0.,0.],'Fz') + np.sum(mesh.vnF[:1])] = 1.
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, S_m, S_e))
elif SrcType is 'PrimSecSigma':
if fdemType is 'e' or fdemType is 'b':
@@ -77,6 +86,48 @@ def getFDEMProblem(fdemType, comp, SrcList, freq, verbose=False):
from pymatsolver import MumpsSolver
prb.Solver = MumpsSolver
except ImportError, e:
pass
prb.Solver = SolverLU
return prb
return prb
def crossCheckTest(SrcList, fdemType1, fdemType2, comp, addrandoms = False, useMu=False, TOL=1e-5, verbose=False):
l2norm = lambda r: np.sqrt(r.dot(r))
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
if addrandoms is True:
logsig += np.random.randn(mesh.nC)*np.log(CONDUCTIVITY)*1e-1
mu += np.random.randn(mesh.nC)*MU*1e-1
if useMu is True:
m = np.r_[logsig, mu]
else:
m = logsig
survey1 = prb1.survey
d1 = survey1.dpred(m)
if verbose:
print ' Problem 1 solved'
prb2 = getFDEMProblem(fdemType2, comp, SrcList, freq, useMu, verbose)
survey2 = prb2.survey
d2 = survey2.dpred(m)
if verbose:
print ' Problem 2 solved'
r = d2-d1
l2r = l2norm(r)
tol = np.max([TOL*(10**int(np.log10(0.5* (l2norm(d1) + l2norm(d2)) ))),FLR])
print l2norm(d1), l2norm(d2), l2r , tol, l2r < tol
return l2r < tol