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Lindsey
238 lines
8.1 KiB
Python
238 lines
8.1 KiB
Python
from SimPEG import Survey, Problem, Utils, np, sp
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from simpegEM.Utils.EMUtils import omega
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class FieldsFDEM(Problem.Fields):
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"""Fancy Field Storage for a FDEM survey."""
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knownFields = {}
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dtype = complex
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class FieldsFDEM_e(FieldsFDEM):
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knownFields = {'e':'E'}
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aliasFields = {
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'b_sec' : ['e','F','_b_sec'],
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'b' : ['e','F','_b']
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}
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def __init__(self,mesh,survey,**kwargs):
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FieldsFDEM.__init__(self,mesh,survey,**kwargs)
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def startup(self):
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self._edgeCurl = self.survey.prob.mesh.edgeCurl
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def _b_sec(self, e, src):
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return - 1./(1j*omega(src.freq)) * (self._edgeCurl * Utils.mkvc(e))
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def _b_secDeriv(self, e, src, v, adjoint=False):
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return None
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def _b(self, e, src):
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b = self._b_sec(e,src)
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S_m = src._getS_m(self.survey.prob)
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if S_m is not None:
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b += 1./(1j*omega(src.freq)) * S_m
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return b
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def _bDeriv(self, e, src, v, adjoint=False):
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S_mDeriv,_ = src.getSourceDeriv(self.survey.prob, v, adjoint)
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b_secDeriv = self._b_secDeriv(e, src.freq, v, adjoint)
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if S_mDeriv is None & b_secDeriv is None:
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return None
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elif b_secDeriv is None:
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return 1./(1j*omega(src.freq)) * S_mDeriv
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elif S_mDeriv is None:
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return b_secDeriv
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else:
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return 1./(1j*omega(src.freq)) * S_mDeriv + b_secDeriv
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class FieldsFDEM_b(FieldsFDEM):
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knownFields = {'b':'F'}
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aliasFields = {
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'e_sec' : ['b','E','_e_sec'],
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'e' : ['b','E','_e']
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}
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def __init__(self,mesh,survey,**kwargs):
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FieldsFDEM.__init__(self,mesh,survey,**kwargs)
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def startup(self):
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self._edgeCurl = self.survey.prob.mesh.edgeCurl
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self._MeSigmaI = self.survey.prob.MeSigmaI
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self._MfMui = self.survey.prob.MfMui
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# self._getSource = self.survey.prob.getSource
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# self._getSourceDeriv = self.survey.prob.getSourceDeriv
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def _e_sec(self, b, src):
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return self._MeSigmaI * ( self._edgeCurl.T * ( self._MfMui * Utils.mkvc(b)))
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def _e_secDeriv(self, b, src, v, adjoint=False):
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return None
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def _e(self, b, src):
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e = self._e_sec(b,src)
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S_e = src._getS_e(self.survey.prob)
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if S_e is not None:
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e += S_e
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return e
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def _eDeriv(self, b, src, v, adjoint=False):
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_,S_eDeriv = src.getSourceDeriv(self.survey.prob, v, adjoint)
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e_secDeriv = self._e_secDeriv(b, src, v, adjoint)
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if S_eDeriv is None & e_secDeriv is None:
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return None
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elif e_secDeriv is None:
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return -S_eDeriv
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elif S_eDeriv is None:
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return e_secDeriv
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else:
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return e_secDeriv - S_eDeriv
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class FieldsFDEM_j(FieldsFDEM):
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knownFields = {'j':'F'}
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aliasFields = {
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'h_sec' : ['j','E','_h_sec'],
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'h' : ['j','E','_h']
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}
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def __init__(self,mesh,survey,**kwargs):
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FieldsFDEM.__init__(self,mesh,survey,**kwargs)
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def startup(self):
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self._edgeCurl = self.survey.prob.mesh.edgeCurl
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self._MeMuI = self.survey.prob.MeMuI
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self._MfSigmai = self.survey.prob.MfSigmai
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# self._getSource = self.survey.prob.getSource
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# self._getSourceDeriv = self.survey.prob.getSourceDeriv
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self._curModel = self.survey.prob.curModel
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def _h_sec(self, j, src): #v, adjoint=False
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return - 1./(1j*omega(src.freq)) * self._MeMuI * (self._edgeCurl.T * (self._MfSigmai * Utils.mkvc(j)) )
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def _h_secDeriv(self, j, src, v, adjoint=False):
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MeMuI = self._MeMuI
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C = self._edgeCurl
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sig = self._curModel.transform
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sigi = 1/sig
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dsig_dm = self._curModel.transformDeriv
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dsigi_dsig = -Utils.sdiag(sigi)**2
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dMf_dsigi = self.mesh.getFaceInnerProductDeriv(sigi)(j)
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sigi = self._MfSigmai
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if not adjoint:
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return -(1./(1j*omega(freq))) * MeMuI * ( C.T * ( dMf_dsigi * ( dsigi_dsig * ( dsig_dm * v ) ) ) )
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else:
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return -(1./(1j*omega(freq))) * dsig_dm.T * ( dsigi_dsig.T * ( dMf_dsigi.T * ( C * ( MeMuI.T * v ) ) ) )
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def _h(self, j, src): #v, adjoint=False
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h = self._h_sec(j,src)
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S_m = src._getS_m(self.survey.prob)
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if S_m is not None:
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h += 1./(1j*omega(src.freq)) * self._MeMuI * S_m
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return h
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def _hDeriv(self, j, src, v, adjoint=False):
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S_mDeriv,_ = src.getSourceDeriv(self.survey.prob, v, adjoint)
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h_secDeriv = self._h_secDeriv(j,src.freq, v, adjoint)
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if S_mDeriv is None & h_secDeriv is None:
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return None
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elif h_secDeriv is None:
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return 1./(1j*omega(src.freq)) * S_mDeriv
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elif S_mDeriv is None:
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return h_secDeriv
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else:
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return 1./(1j*omega(src.freq)) * S_mDeriv + h_secDeriv
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class FieldsFDEM_h(FieldsFDEM):
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knownFields = {'h':'E'}
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aliasFields = {
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'j_sec' : ['h','F','_j_sec'],
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'j' : ['h','F','_j']
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}
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def __init__(self,mesh,survey,**kwargs):
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FieldsFDEM.__init__(self,mesh,survey,**kwargs)
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def startup(self):
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self._edgeCurl = self.survey.prob.mesh.edgeCurl
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self._MeMuI = self.survey.prob.MeMuI
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self._MfSigmai = self.survey.prob.MfSigmai
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# self._getSource = self.survey.prob.getSource
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# self._getSourceDeriv = self.survey.prob.getSourceDeriv
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def _j_sec(self, h, src): # adjoint=False
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return self._edgeCurl*Utils.mkvc(h)
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def _j_secDeriv(self, h, src, v, adjoint=False):
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return None
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def _j(self, h, src): # adjoint=False
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j = self._j_sec(h,src)
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S_e = src._getS_e(self.survey.prob)
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if S_e is not None:
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j += -S_e
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return j
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def _jDeriv(self, h, src, v, adjoint=False):
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_,S_eDeriv = src.getSourceDeriv(self.survey.prob, v, adjoint)
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j_secDeriv = self._j_secDeriv(j,src.freq, v, adjoint)
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if S_eDeriv is None & j_secDeriv is None:
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return None
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elif j_secDeriv is None:
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return - S_eDeriv
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elif S_eDeriv is None:
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return j_secDeriv
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else:
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return - S_eDeriv + j_secDeriv
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# def calcFields(self, sol, freq, fieldType, adjoint=False):
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# j = sol
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# if fieldType == 'j':
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# return j
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# elif fieldType == 'h':
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# MeMuI = self._MeMuI
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# C = self.mesh.edgeCurl
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# MfSigmai = self._MfSigmai
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# if not adjoint:
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# h = -(1./(1j*omega(freq))) * MeMuI * ( C.T * ( MfSigmai * j ) )
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# else:
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# h = -(1./(1j*omega(freq))) * MfSigmai.T * ( C * ( MeMuI.T * j ) )
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# return h
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# raise NotImplementedError('fieldType "%s" is not implemented.' % fieldType)
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# def calcFieldsDeriv(self, sol, freq, fieldType, v, adjoint=False):
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# j = sol
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# if fieldType == 'j':
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# return None
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# elif fieldType == 'h':
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# MeMuI = self._MeMuI
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# C = self.mesh.edgeCurl
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# sig = self._curModel.transform
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# sigi = 1/sig
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# dsig_dm = self._curModel.transformDeriv
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# dsigi_dsig = -Utils.sdiag(sigi)**2
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# dMf_dsigi = self.mesh.getFaceInnerProductDeriv(sigi)(j)
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# sigi = self._MfSigmai
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# if not adjoint:
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# return -(1./(1j*omega(freq))) * MeMuI * ( C.T * ( dMf_dsigi * ( dsigi_dsig * ( dsig_dm * v ) ) ) )
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# else:
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# return -(1./(1j*omega(freq))) * dsig_dm.T * ( dsigi_dsig.T * ( dMf_dsigi.T * ( C * ( MeMuI.T * v ) ) ) )
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# raise NotImplementedError('fieldType "%s" is not implemented.' % fieldType)
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# def calcFields(self, sol, freq, fieldType, adjoint=False):
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# h = sol
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# if fieldType == 'j':
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# C = self.mesh.edgeCurl
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# if adjoint:
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# return C.T*h
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# return C*h
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# elif fieldType == 'h':
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# return h
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# raise NotImplementedError('fieldType "%s" is not implemented.' % fieldType)
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# def calcFieldsDeriv(self, sol, freq, fieldType, v, adjoint=False):
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# return None |