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114 lines
2.9 KiB
Python
114 lines
2.9 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 = {'b': 'F', 'e': 'E', 'j': 'F', 'h': 'E'} # TODO: a, phi
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dtype = complex
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def calcFields(self,sol,tx,fieldType):
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if fieldType == 'e':
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return self._e(sol,tx)
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elif fieldType == 'e_sec':
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return self._e_sec(sol,tx)
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elif fieldType == 'b':
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return self._b(sol,tx)
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elif fieldType == 'b_sec':
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return self._b_sec(sol,tx)
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else:
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raise NotImplementedError('fieldType "%s" is not implemented.' % fieldType)
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def calcFieldsDeriv(self,sol,tx,fieldType,adjoint=False):
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if fieldType == 'e':
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return self._eDeriv(sol,tx,adjoint)
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elif fieldType == 'e_sec':
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return self._e_secDeriv(sol,tx,adjoint)
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elif fieldType == 'b':
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return self._bDeriv(sol,tx,adjoint,adjoint)
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elif fieldType == 'b_sec':
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return self._b_secDeriv(sol,tx,adjoint,adjoint)
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else:
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raise NotImplementedError('fieldType "%s" is not implemented.' % fieldType)
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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' : ['b_sec','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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self.getSource = self.survey.prob.getSource
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self.getSourceDeriv = self.survey.prob.getSourceDeriv
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def _e(self, e, tx):
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return e
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def _eDeriv(self, e, tx, adjoint=False):
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return None
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def _b_sec(self, e, tx): #adjoint=False
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iomegainv = 1./(1j*omega(tx.freq))
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return -iomegainv * (self.edgeCurl * e)
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def _b_secDeriv(self, e, tx, adjoint=False):
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return None
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def _b(self, b_sec, tx): #adjoint=False
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j_m,_ = self.getSource(tx.freq)
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return 1./(1j*omega(tx.freq)) + b_sec
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def _bDreiv(self, e, tx, adjoint=False):
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j_mDeriv,_ = self.getSourceDeriv(tx.freq, adjoint)
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if j_mDeriv is None:
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return None
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else:
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return 1./(1j*omega(tx.freq)) * j_mDeriv
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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' : ['e_sec','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 _b(self, b, tx):
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return b
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def _bDeriv(self, b, tx, adjoint=False):
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return None
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def _e_sec(self, b, tx):
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return self.MeSigmaI * ( self.edgeCurl.T * ( self.MfMui * b) )
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def _e_secDeriv(self, b, tx, adjoint=False):
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return None
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def _e(self, e_sec, tx):
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_, j_g = self.getSource(tx.freq)
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return e_s - j_g
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def _eDeriv(self, b, tx, adjoint=False):
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_,j_gDeriv = self.getSourceDeriv(tx.freq, adjoint)
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if j_gDeriv is None:
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return None
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else:
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return -j_gDeriv |