Files
simpeg/simpegEM/FDEM/SurveyFDEM.py
T
2015-05-06 16:58:46 -07:00

390 lines
11 KiB
Python

from SimPEG import Survey, Problem, Utils, np, sp
from simpegEM.Utils import SrcUtils
from simpegEM.Utils.EMUtils import omega
####################################################
# Receivers
####################################################
class RxFDEM(Survey.BaseRx):
knownRxTypes = {
'exr':['e', 'Ex', 'real'],
'eyr':['e', 'Ey', 'real'],
'ezr':['e', 'Ez', 'real'],
'exi':['e', 'Ex', 'imag'],
'eyi':['e', 'Ey', 'imag'],
'ezi':['e', 'Ez', 'imag'],
'bxr':['b', 'Fx', 'real'],
'byr':['b', 'Fy', 'real'],
'bzr':['b', 'Fz', 'real'],
'bxi':['b', 'Fx', 'imag'],
'byi':['b', 'Fy', 'imag'],
'bzi':['b', 'Fz', 'imag'],
'jxr':['j', 'Fx', 'real'],
'jyr':['j', 'Fy', 'real'],
'jzr':['j', 'Fz', 'real'],
'jxi':['j', 'Fx', 'imag'],
'jyi':['j', 'Fy', 'imag'],
'jzi':['j', 'Fz', 'imag'],
'hxr':['h', 'Ex', 'real'],
'hyr':['h', 'Ey', 'real'],
'hzr':['h', 'Ez', 'real'],
'hxi':['h', 'Ex', 'imag'],
'hyi':['h', 'Ey', 'imag'],
'hzi':['h', 'Ez', 'imag'],
}
radius = None
def __init__(self, locs, rxType):
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 projGLoc(self):
"""Grid Location projection (e.g. Ex Fy ...)"""
return self.knownRxTypes[self.rxType][1]
@property
def projComp(self):
"""Component projection (real/imag)"""
return self.knownRxTypes[self.rxType][2]
def projectFields(self, src, mesh, u):
P = self.getP(mesh)
u_part_complex = u[src, self.projField]
# get the real or imag component
real_or_imag = self.projComp
u_part = getattr(u_part_complex, real_or_imag)
return P*u_part
def projectFieldsDeriv(self, src, mesh, u, v, adjoint=False):
P = self.getP(mesh)
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
####################################################
# Sources
####################################################
class SrcFDEM(Survey.BaseSrc):
freq = None
rxPair = RxFDEM
def eval(self, prob):
return self._getS_m(prob), self._getS_e(prob)
def evalDeriv(self, prob, v, adjoint=None):
return self._getS_mDeriv(prob,v,adjoint), self._getS_eDeriv(prob,v,adjoint)
class SrcFDEM_RawVec_e(SrcFDEM):
"""
RawVec electric source. It is defined by the user provided vector S_e
:param numpy.array S_e: electric source term
:param float freq: frequency
:param rxList: receiver list
"""
def __init__(self, rxList, freq, S_e):
self.S_e = np.array(S_e,dtype=float)
self.freq = float(freq)
SrcFDEM.__init__(self, rxList)
def _getS_m(self, prob):
return None
def _getS_e(self, prob):
return self.S_e
def _getS_mDeriv(self, prob, v, adjoint = False):
return None
def _getS_eDeriv(self, prob, v, adjoint = False):
return None
class SrcFDEM_RawVec_m(SrcFDEM):
"""
RawVec magnetic source. It is defined by the user provided vector S_m
:param numpy.array S_m: magnetic source term
:param float freq: frequency
:param rxList: receiver list
"""
def __init__(self, rxList, freq, S_m):
self.S_m = np.array(S_m,dtype=float)
self.freq = float(freq)
SrcFDEM.__init__(self, rxList)
def _getS_m(self, prob):
return self.S_m
def _getS_e(self, prob):
return None
def _getS_mDeriv(self, prob, v, adjoint = False):
return None
def _getS_eDeriv(self, prob, v, adjoint = False):
return None
class SrcFDEM_RawVec(SrcFDEM):
"""
RawVec source. It is defined by the user provided vectors S_m, S_e
:param numpy.array S_m: magnetic source term
:param numpy.array S_e: electric source term
:param float freq: frequency
:param rxList: receiver list
"""
def __init__(self, rxList, freq, S_m, S_e):
self.S_m = np.array(S_m,dtype=float)
self.S_e = np.array(S_e,dtype=float)
self.freq = float(freq)
SrcFDEM.__init__(self, rxList)
def _getS_m(self,prob):
return self.S_m
def _getS_e(self,prob):
return self.S_e
def _getS_mDeriv(self, prob, v, adjoint = False):
return None
def _getS_eDeriv(self, prob, v, adjoint = False):
return None
class SrcFDEM_MagDipole(SrcFDEM):
#TODO: right now, orientation doesn't actually do anything! The methods in SrcUtils should take care of that
def __init__(self, rxList, freq, loc, orientation='Z', moment=1.):
self.freq = float(freq)
self.loc = loc
self.orientation = orientation
self.moment = moment
SrcFDEM.__init__(self, rxList)
def _getS_m(self,prob):
eqLocs = prob._eqLocs
if eqLocs is 'FE':
gridX = prob.mesh.gridEx
gridY = prob.mesh.gridEy
gridZ = prob.mesh.gridEz
C = prob.mesh.edgeCurl
elif 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:
# TODO ?
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
a = SrcUtils.MagneticDipoleVectorPotential(self.loc, gridY, 'y')
else:
srcfct = SrcUtils.MagneticDipoleVectorPotential
ax = srcfct(self.loc, gridX, 'x')
ay = srcfct(self.loc, gridY, 'y')
az = srcfct(self.loc, gridZ, 'z')
a = np.concatenate((ax, ay, az))
S_m = -1j*omega(self.freq)*C*a
return S_m
def _getS_e(self,prob):
return None
def getSourceDeriv(self, prob, v, adjoint=None):
return None, None
class SrcFDEM_MagDipole_Bfield(SrcFDEM):
#TODO: right now, orientation doesn't actually do anything! The methods in SrcUtils should take care of that
#TODO: neither does moment
def __init__(self, rxList, freq, loc, orientation='Z', moment=1.):
self.freq = float(freq)
self.orientation = orientation
SrcFDEM.__init__(self, rxList)
def _getS_m(self,prob):
eqLocs = prob._eqLocs
if eqLocs is 'FE':
gridX = prob.mesh.gridFx
gridY = prob.mesh.gridFy
gridZ = prob.mesh.gridFz
C = prob.mesh.edgeCurl
elif eqLocs is 'EF':
gridX = prob.mesh.gridEx
gridY = prob.mesh.gridEy
gridZ = prob.mesh.gridEz
C = prob.mesh.edgeCurl.T
srcfct = SrcUtils.MagneticDipoleFields
if prob.mesh._meshType is 'CYL':
if not prob.mesh.isSymmetric:
# TODO ?
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
bx = srcfct(self.loc, gridX, 'x')
bz = srcfct(self.loc, gridZ, 'z')
b = np.concatenate((bx,bz))
else:
bx = srcfct(self.loc, gridX, 'x')
by = srcfct(self.loc, gridY, 'y')
bz = srcfct(self.loc, gridZ, 'z')
b = np.concatenate((bx,by,bz))
return -1j*omega(self.freq)*b
def _getS_e(self,prob):
return None
def _getS_mDeriv(self, prob, v, adjoint = False):
return None
def _getS_eDeriv(self, prob, v, adjoint = False):
return None
class SrcFDEM_CircularLoop(SrcFDEM):
#TODO: right now, orientation doesn't actually do anything! The methods in SrcUtils should take care of that
def __init__(self, rxList, freq, loc, orientation='Z', radius = 1.):
self.freq = float(freq)
self.orientation = orientation
self.radius = radius
SrcFDEM.__init__(self, rxList)
def _getS_mDeriv(self, prob, v, adjoint = False):
return None
def _getS_eDeriv(self, prob, v, adjoint = False):
return None
def getSource(self, prob):
eqLocs = prob._eqLocs
if eqLocs is 'FE':
gridX = prob.mesh.gridEx
gridY = prob.mesh.gridEy
gridZ = prob.mesh.gridEz
C = prob.mesh.edgeCurl
elif 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:
# TODO ?
raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
a = SrcUtils.MagneticDipoleVectorPotential(src.loc, gridY, 'y', self.radius)
else:
srcfct = SrcUtils.MagneticDipoleVectorPotential
ax = srcfct(self.loc, gridX, 'x', self.radius)
ay = srcfct(self.loc, gridY, 'y', self.radius)
az = srcfct(self.loc, gridZ, 'z', self.radius)
a = np.concatenate((ax, ay, az))
return -1j*omega(self.freq)*C*a
####################################################
# Survey
####################################################
class SurveyFDEM(Survey.BaseSurvey):
"""
docstring for SurveyFDEM
"""
srcPair = SrcFDEM
def __init__(self, srcList, **kwargs):
# Sort these by frequency
self.srcList = srcList
Survey.BaseSurvey.__init__(self, **kwargs)
_freqDict = {}
for src in srcList:
if src.freq not in _freqDict:
_freqDict[src.freq] = []
_freqDict[src.freq] += [src]
self._freqDict = _freqDict
self._freqs = sorted([f for f in self._freqDict])
@property
def freqs(self):
"""Frequencies"""
return self._freqs
@property
def nFreq(self):
"""Number of frequencies"""
return len(self._freqDict)
@property
def nSrcByFreq(self):
if getattr(self, '_nSrcByFreq', None) is None:
self._nSrcByFreq = {}
for freq in self.freqs:
self._nSrcByFreq[freq] = len(self.getSource(freq))
return self._nSrcByFreq
def getSrcByFreq(self, freq):
"""Returns the sources associated with a specific frequency."""
assert freq in self._freqDict, "The requested frequency is not in this survey."
return self._freqDict[freq]
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, u)
return data
def projectFieldsDeriv(self, u):
raise Exception('Use Sources to project fields deriv.')