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docs for fields_e

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This commit is contained in:
Lindsey Heagy
2016-02-20 11:13:09 -08:00
parent ce49249664
commit 0edbc9f6ca
1 changed files with 75 additions and 7 deletions
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SimPEG/EM/FDEM/FieldsFDEM.py
+75 -7
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@@ -307,7 +307,7 @@ class Fields_e(Fields):
:param numpy.ndarray du_dm_v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
:return: product of the derivative of the secondary magnetic flux density with respect to the field we solved for with a vector
:return: product of the derivative of the magnetic flux density with respect to the field we solved for with a vector
"""
C = self._edgeCurl
@@ -331,19 +331,44 @@ class Fields_e(Fields):
return 1./(1j * omega(src.freq)) * S_mDeriv
def _jSecondary(self, eSolution, srcList):
aveE2CCV = self._aveE2CCV
n = int(aveE2CCV.shape[0] / self._nC) # number of components (instead of checking if cyl or not)
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
return VI * (aveE2CCV * (self._MeSigma * eSolution) )
def _jPrimary(self, eSolution, srcList):
"""
Primary current density
:param numpy.ndarray eSolution: field we solved for
:param list srcList: list of sources
:rtype: numpy.ndarray
:return: primary current density
"""
aveE2CCV = self._aveE2CCV
n = int(aveE2CCV.shape[0] / self._nC) # number of components (instead of checking if cyl or not)
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
return VI * (aveE2CCV * (self._MeSigma * self._ePrimary(eSolution, srcList)) )
def _jSecondary(self, eSolution, srcList):
"""
Secondary current density from eSolution
:param numpy.ndarray eSolution: field we solved for
:param list srcList: list of sources
:rtype: numpy.ndarray
:return: secondary current density
"""
aveE2CCV = self._aveE2CCV
n = int(aveE2CCV.shape[0] / self._nC) # number of components (instead of checking if cyl or not)
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
return VI * (aveE2CCV * (self._MeSigma * eSolution) )
def _jDeriv_u(self, src, du_dm_v, adjoint = False):
"""
Derivative of the current density with respect to the thing we solved for
:param SimPEG.EM.FDEM.Src src: source
:param numpy.ndarray du_dm_v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
:return: product of the derivative of the current density with respect to the field we solved for with a vector
"""
n = int(self._aveE2CCV.shape[0] / self._nC) # number of components (instead of checking if cyl or not)
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
@@ -353,6 +378,15 @@ class Fields_e(Fields):
def _jDeriv_m(self, src, v, adjoint = False):
"""
Derivative of the current density with respect to the inversion model.
:param SimPEG.EM.FDEM.Src src: source
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
:return: product of the current density derivative with respect to the inversion model with a vector
"""
e = self._e(self._fields['eSolution'], [src])
n = int(self._aveE2CCV.shape[0] / self._nC) #number of components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
@@ -364,18 +398,43 @@ class Fields_e(Fields):
def _hPrimary(self, eSolution, srcList):
"""
Primary magnetic field
:param numpy.ndarray eSolution: field we solved for
:param list srcList: list of sources
:rtype: numpy.ndarray
:return: primary magnetic field
"""
n = int(self._aveF2CCV.shape[0] / self._nC) # Number of Components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
return VI * (self._aveF2CCV * (self._MfMui * self._bPrimary(eSolution, srcList)))
def _hSecondary(self, eSolution, srcList):
"""
Secondary magnetic field from eSolution
:param numpy.ndarray eSolution: field we solved for
:param list srcList: list of sources
:rtype: numpy.ndarray
:return: secondary magnetic field
"""
n = int(self._aveF2CCV.shape[0] / self._nC) # Number of Components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
return VI * (self._aveF2CCV * (self._MfMui * self._bSecondary(eSolution, srcList)))
def _hDeriv_u(self, src, du_dm_v, adjoint = False):
"""
Derivative of the magnetic field with respect to the thing we solved for
:param SimPEG.EM.FDEM.Src src: source
:param numpy.ndarray du_dm_v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
:return: product of the derivative of the magnetic field with respect to the field we solved for with a vector
"""
n = int(self._aveF2CCV.shape[0] / self._nC) # Number of Components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
if adjoint:
@@ -384,6 +443,15 @@ class Fields_e(Fields):
return VI * (self._aveF2CCV * (self._MfMui * self._bDeriv_u(src, du_dm_v, adjoint = adjoint)))
def _hDeriv_m(self, src, v, adjoint = False):
"""
Derivative of the magnetic field with respect to the inversion model.
:param SimPEG.EM.FDEM.Src src: source
:param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint?
:rtype: numpy.ndarray
:return: product of the magnetic field derivative with respect to the inversion model with a vector
"""
n = int(self._aveF2CCV.shape[0] / self._nC) # Number of Components
VI = sdiag(np.kron(np.ones(n), 1./self.prob.mesh.vol))
if adjoint: