Files
simpeg/simpegEM/FDEM/FieldsFDEM.py
T

120 lines
3.4 KiB
Python

from SimPEG import Survey, Problem, Utils, np, sp
from simpegEM.Utils.EMUtils import omega
class FieldsFDEM(Problem.Fields):
"""Fancy Field Storage for a FDEM survey."""
knownFields = {'b': 'F', 'e': 'E', 'j': 'F', 'h': 'E'} # TODO: a, phi
dtype = complex
def calcFields(self,sol,txInd,freqInd,fieldType):
if fieldType == 'e':
return self._e(sol,txInd,freqInd)
elif fieldType == 'e_sec':
return self._e_sec(sol,txInd,freqInd)
elif fieldType == 'b':
return self._b(sol,txInd,freqInd)
elif fieldType == 'b_sec':
return self._b_sec(sol,txInd,freqInd)
else:
raise NotImplementedError('fieldType "%s" is not implemented.' % fieldType)
def calcFieldsDeriv(self,sol,txInd,freqInd,fieldType,adjoint=False):
if fieldType == 'e':
return self._eDeriv(sol,txInd,freqInd,adjoint)
elif fieldType == 'e_sec':
return self._e_secDeriv(sol,txInd,freqInd,adjoint)
elif fieldType == 'b':
return self._bDeriv(sol,txInd,freqInd,adjoint,adjoint)
elif fieldType == 'b_sec':
return self._b_secDeriv(sol,txInd,freqInd,adjoint,adjoint)
else:
raise NotImplementedError('fieldType "%s" is not implemented.' % fieldType)
class FieldsFDEM_e(FieldsFDEM):
knownFields = {'e':'E'}
aliasFields = {
'b_sec' : ['e','F','_b_sec'],
'b' : ['e','F','_b']
}
def __init__(self,mesh,survey,**kwargs):
FieldsFDEM.__init__(self,mesh,survey,**kwargs)
def startup(self):
self.edgeCurl = self.survey.prob.mesh.edgeCurl
self.freqs = self.survey.freqs
self.getSource = self.survey.prob.getSource
self.getSourceDeriv = self.survey.prob.getSourceDeriv
def _e(self, e, txInd, freqInd):
return e
def _eDeriv(self, e, txInd, freqInd, adjoint=False):
return None
def _b_sec(self, e, txInd, freqInd): #adjoint=False
iomegainv = 1./(1j*omega(self.freqs[freqInd]))
return -iomegainv * (self.edgeCurl * e)
def _b_secDeriv(self, e, txInd, freqInd, adjoint=False):
return None
def _b(self, e, txInd, freqInd): #adjoint=False
freq = self.freqs[freqInd]
b_sec = self._bsec(e,txInd,freqInd)
j_m,_ = self.getSource(freq)
return 1./(1j*omega(freq)) + b_sec
def _bDreiv(self, e, txInd, freqInd, adjoint=False):
freq = self.freqs[freqInd]
j_mDeriv,_ = self.getSourceDeriv(freq, adjoint)
if j_mDeriv is None:
return None
else:
return 1./(1j*omega(freq)) * j_mDeriv
class FieldsFDEM_b(FieldsFDEM):
knownFields = {'b':'F'}
aliasFields = {
'e_sec' : ['b','E','_e_sec'],
'e' : ['b','E','_e']
}
def __init__(self,mesh,survey,**kwargs):
FieldsFDEM.__init__(self,mesh,survey,**kwargs)
def startup(self):
self.edgeCurl = self.survey.prob.mesh.edgeCurl
self.MeSigmaI = self.survey.prob.MeSigmaI
self.MfMui = self.survey.prob.MfMui
self.freqs = self.survey.freqs
self.getSource = self.survey.prob.getSource
self.getSourceDeriv = self.survey.prob.getSourceDeriv
def _b(self, b, txInd, freqInd):
return b
def _bDeriv(self, b, txInd, freqInd, adjoint=False):
return None
def _e_sec(self, b, txInd, freqInd):
return self.MeSigmaI * ( self.edgeCurl.T * ( self.MfMui * b) )
def _e_secDeriv(self, b, txInd, freqInd, adjoint=False):
return None
def _e(self, b, txInd, freqInd):
e_sec = _e_sec(self, b, txInd, freqInd)
_, j_g = self.getSource(self.freqs[freqInd])
return e_s - j_g
def _eDeriv(self, b, txInd, freqInd, adjoint=False):
_,j_gDeriv = self.getSourceDeriv(self.freqs[freqInd], adjoint)
if j_gDeriv is None:
return None
else:
return -j_gDeriv