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working 2.5D fwd problem.
This commit is contained in:
seogi_macbook
@@ -0,0 +1,106 @@
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import SimPEG
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import Utils, numpy as np, scipy.sparse as sp
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class Fields_ky(SimPEG.Problem.TimeFields):
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"""
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Fancy Field Storage for a 2.5D code.
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u[:,'phi', kyInd] = phi
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print u[src0,'phi']
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Only one field type is stored for
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each problem, the rest are computed. The fields obejct acts like an array and is indexed by
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.. code-block:: python
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f = problem.fields(m)
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e = f[srcList,'e']
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j = f[srcList,'j']
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If accessing all sources for a given field, use the :code:`:`
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.. code-block:: python
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f = problem.fields(m)
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phi = f[:,'phi']
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e = f[:,'e']
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b = f[:,'b']
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The array returned will be size (nE or nF, nSrcs :math:`\\times` nFrequencies)
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"""
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knownFields = {}
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dtype = float
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def _phiDeriv(self,kyInd, src, du_dm_v, v, adjoint=False):
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if getattr(self, '_phiDeriv_u', None) is None or getattr(self, '_phiDeriv_m', None) is None:
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raise NotImplementedError ('Getting phiDerivs from %s is not implemented' %self.knownFields.keys()[0])
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if adjoint:
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return self._phiDeriv_u(kyInd, src, v, adjoint=adjoint), self._phiDeriv_m(kyInd, src, v, adjoint=adjoint)
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return np.array(self._phiDeriv_u(kyInd, src, du_dm_v, adjoint) + self._phiDeriv_m(kyInd, src, v, adjoint), dtype = float)
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def _eDeriv(self,kyInd, src, du_dm_v, v, adjoint=False):
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if getattr(self, '_eDeriv_u', None) is None or getattr(self, '_eDeriv_m', None) is None:
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raise NotImplementedError ('Getting eDerivs from %s is not implemented' %self.knownFields.keys()[0])
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if adjoint:
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return self._eDeriv_u(kyInd, src, v, adjoint), self._eDeriv_m(kyInd, src, v, adjoint)
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return np.array(self._eDeriv_u(kyInd, src, du_dm_v, adjoint) + self._eDeriv_m(kyInd, src, v, adjoint), dtype = float)
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def _jDeriv(self,kyInd, src, du_dm_v, v, adjoint=False):
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if getattr(self, '_jDeriv_u', None) is None or getattr(self, '_jDeriv_m', None) is None:
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raise NotImplementedError ('Getting jDerivs from %s is not implemented' %self.knownFields.keys()[0])
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if adjoint:
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return self._jDeriv_u(kyInd, src, v, adjoint), self._jDeriv_m(kyInd, src, v, adjoint)
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return np.array(self._jDeriv_u(kyInd, src, du_dm_v, adjoint) + self._jDeriv_m(kyInd, src, v, adjoint), dtype = float)
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# def _eDeriv(self, tInd, src, dun_dm_v, v, adjoint=False):
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# if adjoint is True:
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# return self._eDeriv_u(tInd, src, v, adjoint), self._eDeriv_m(tInd, src, v, adjoint)
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# return self._eDeriv_u(tInd, src, dun_dm_v) + self._eDeriv_m(tInd, src, v)
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# def _bDeriv(self, tInd, src, dun_dm_v, v, adjoint=False):
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# if adjoint is True:
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# return self._bDeriv_u(tInd, src, v, adjoint), self._bDeriv_m(tInd, src, v, adjoint)
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# return self._bDeriv_u(tInd, src, dun_dm_v) + self._bDeriv_m(tInd, src, v)
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class Fields_ky_CC(Fields_ky):
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knownFields = {'phiSolution':'CC'}
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aliasFields = {
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'phi': ['phiSolution','CC','_phi'],
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'j' : ['phiSolution','F','_j'],
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'e' : ['phiSolution','F','_e'],
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}
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# primary - secondary
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# CC variables
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def __init__(self, mesh, survey, **kwargs):
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Fields_ky.__init__(self, mesh, survey, **kwargs)
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def startup(self):
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self.prob = self.survey.prob
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def _GLoc(self, fieldType):
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if fieldType == 'phi':
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return 'CC'
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elif fieldType == 'e' or fieldType == 'j':
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return 'F'
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else:
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raise Exception('Field type must be phi, e, j')
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def _phi(self, phiSolution, src, kyInd):
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return phiSolution
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def _phiDeriv_u(self, kyInd, src, v, adjoint = False):
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return Identity()*v
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def _phiDeriv_m(self, kyInd, src, v, adjoint = False):
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return Zero()
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def _j(self, phiSolution, srcList):
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raise NotImplementedError
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def _e(self, phiSolution, srcList):
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raise NotImplementedError
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@@ -0,0 +1,235 @@
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from SimPEG import Problem, Utils
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from SimPEG.EM.Base import BaseEMProblem
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from SurveyDC import Survey, Survey_ky
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from FieldsDC_2D import Fields_ky, Fields_ky_CC
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from SimPEG.Utils import sdiag
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import numpy as np
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from SimPEG.Utils import Zero
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from BoundaryUtils import getxBCyBC_CC
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class BaseDCProblem_2D(BaseEMProblem):
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surveyPair = Survey_ky
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fieldsPair = Fields_ky
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nky = 15
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ky = np.logspace(-4, 1, nky)
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Ainv = [None for i in range(nky)]
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nT = nky # Only for using TimeFields
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def fields(self, m):
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self.curModel = m
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if not self.Ainv[0] == None:
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for i in range(self.nky):
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self.Ainv[i].clean()
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f = self.fieldsPair(self.mesh, self.survey)
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Srcs = self.survey.srcList
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for iky in range(self.nky):
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ky = self.ky[iky]
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A = self.getA(ky)
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self.Ainv[iky] = self.Solver(A, **self.solverOpts)
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RHS = self.getRHS(ky)
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u = self.Ainv[iky] * RHS
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f[Srcs, self._solutionType, iky] = u
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return f
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# def Jvec(self, m, v, f=None):
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# if f is None:
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# f = self.fields(m)
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# self.curModel = m
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# Jv = self.dataPair(self.survey) #same size as the data
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# A = self.getA()
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# for src in self.survey.srcList:
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# u_src = f[src, self._solutionType] # solution vector
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# dA_dm_v = self.getADeriv(u_src, v)
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# dRHS_dm_v = self.getRHSDeriv(src, v)
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# du_dm_v = self.Ainv * ( - dA_dm_v + dRHS_dm_v )
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# for rx in src.rxList:
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# df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None)
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# df_dm_v = df_dmFun(src, du_dm_v, v, adjoint=False)
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# Jv[src, rx] = rx.evalDeriv(src, self.mesh, f, df_dm_v)
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# return Utils.mkvc(Jv)
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# def Jtvec(self, m, v, f=None):
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# if f is None:
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# f = self.fields(m)
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# self.curModel = m
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# # Ensure v is a data object.
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# if not isinstance(v, self.dataPair):
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# v = self.dataPair(self.survey, v)
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# Jtv = np.zeros(m.size)
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# AT = self.getA()
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# for src in self.survey.srcList:
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# u_src = f[src, self._solutionType]
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# for rx in src.rxList:
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# PTv = rx.evalDeriv(src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m
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# df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None)
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# df_duT, df_dmT = df_duTFun(src, None, PTv, adjoint=True)
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# ATinvdf_duT = self.Ainv * df_duT
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# dA_dmT = self.getADeriv(u_src, ATinvdf_duT, adjoint=True)
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# dRHS_dmT = self.getRHSDeriv(src, ATinvdf_duT, adjoint=True)
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# du_dmT = -dA_dmT + dRHS_dmT
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# Jtv += df_dmT + du_dmT
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# return Utils.mkvc(Jtv)
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def getSourceTerm(self, ky):
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"""
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takes concept of source and turns it into a matrix
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"""
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"""
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Evaluates the sources, and puts them in matrix form
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:rtype: (numpy.ndarray, numpy.ndarray)
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:return: q (nC or nN, nSrc)
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"""
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Srcs = self.survey.srcList
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if self._formulation is 'EB':
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n = self.mesh.nN
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# return NotImplementedError
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elif self._formulation is 'HJ':
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n = self.mesh.nC
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q = np.zeros((n, len(Srcs)))
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for i, src in enumerate(Srcs):
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q[:,i] = src.eval(self)
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return q
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class Problem2D_CC(BaseDCProblem_2D):
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_solutionType = 'phiSolution'
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_formulation = 'HJ' # CC potentials means J is on faces
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fieldsPair = Fields_ky_CC
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def __init__(self, mesh, **kwargs):
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BaseDCProblem_2D.__init__(self, mesh, **kwargs)
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self.setBC()
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def getA(self, ky):
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"""
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Make the A matrix for the cell centered DC resistivity problem
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A = D MfRhoI D^\\top V
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"""
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D = self.Div
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G = self.Grad
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vol = self.mesh.vol
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# TODO: this won't work for full anisotropy
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MfRhoI = self.MfRhoI
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# Get resistivity rho
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rho = self.curModel.rho
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A = D * MfRhoI * G + Utils.sdiag(ky**2*vol/rho)
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return A
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def getADeriv(self, ky, u, v, adjoint= False):
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D = self.Div
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G = self.Grad
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MfRhoIDeriv = self.MfRhoIDeriv
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if adjoint:
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return(MfRhoIDeriv( G * u ).T) * ( D.T * v) + Utils.sdiag(ky**2*mesh.vol)*v
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return D * ((MfRhoIDeriv( G * u )) * v) + Utils.sdiag(ky**2*mesh.vol)*v
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def getRHS(self, ky):
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"""
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RHS for the DC problem
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q
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"""
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RHS = self.getSourceTerm(ky)
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return RHS
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def getRHSDeriv(self, ky, src, v, adjoint=False):
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"""
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Derivative of the right hand side with respect to the model
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"""
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# TODO: add qDeriv for RHS depending on m
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# qDeriv = src.evalDeriv(self, ky, adjoint=adjoint)
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# return qDeriv
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return Zero()
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def setBC(self):
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if self.mesh.dim==3:
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fxm,fxp,fym,fyp,fzm,fzp = self.mesh.faceBoundaryInd
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gBFxm = self.mesh.gridFx[fxm,:]
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gBFxp = self.mesh.gridFx[fxp,:]
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gBFym = self.mesh.gridFy[fym,:]
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gBFyp = self.mesh.gridFy[fyp,:]
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gBFzm = self.mesh.gridFz[fzm,:]
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gBFzp = self.mesh.gridFz[fzp,:]
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# Setup Mixed B.C (alpha, beta, gamma)
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temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
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temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
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temp_zm, temp_zp = np.ones_like(gBFzm[:,2]), np.ones_like(gBFzp[:,2])
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alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
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alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
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alpha_zm, alpha_zp = temp_zm*0., temp_zp*0.
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beta_xm, beta_xp = temp_xm, temp_xp
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beta_ym, beta_yp = temp_ym, temp_yp
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beta_zm, beta_zp = temp_zm, temp_zp
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gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
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gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
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gamma_zm, gamma_zp = temp_zm*0., temp_zp*0.
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alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp, alpha_zm, alpha_zp]
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beta = [beta_xm, beta_xp, beta_ym, beta_yp, beta_zm, beta_zp]
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gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp, gamma_zm, gamma_zp]
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elif self.mesh.dim==2:
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fxm,fxp,fym,fyp = self.mesh.faceBoundaryInd
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gBFxm = self.mesh.gridFx[fxm,:]
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gBFxp = self.mesh.gridFx[fxp,:]
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gBFym = self.mesh.gridFy[fym,:]
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gBFyp = self.mesh.gridFy[fyp,:]
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# Setup Mixed B.C (alpha, beta, gamma)
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temp_xm, temp_xp = np.ones_like(gBFxm[:,0]), np.ones_like(gBFxp[:,0])
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temp_ym, temp_yp = np.ones_like(gBFym[:,1]), np.ones_like(gBFyp[:,1])
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alpha_xm, alpha_xp = temp_xm*0., temp_xp*0.
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alpha_ym, alpha_yp = temp_ym*0., temp_yp*0.
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beta_xm, beta_xp = temp_xm, temp_xp
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beta_ym, beta_yp = temp_ym, temp_yp
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gamma_xm, gamma_xp = temp_xm*0., temp_xp*0.
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gamma_ym, gamma_yp = temp_ym*0., temp_yp*0.
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alpha = [alpha_xm, alpha_xp, alpha_ym, alpha_yp]
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beta = [beta_xm, beta_xp, beta_ym, beta_yp]
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gamma = [gamma_xm, gamma_xp, gamma_ym, gamma_yp]
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x_BC, y_BC = getxBCyBC_CC(self.mesh, alpha, beta, gamma)
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V = self.Vol
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self.Div = V * self.mesh.faceDiv
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P_BC, B = self.mesh.getBCProjWF_simple()
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M = B*self.mesh.aveCC2F
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self.Grad = self.Div.T - P_BC*Utils.sdiag(y_BC)*M
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@@ -1,5 +1,5 @@
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import SimPEG
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# from SimPEG.EM.Base import BaseEMSurvey
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import numpy as np
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from SimPEG.Utils import Zero, closestPoints
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class BaseRx(SimPEG.Survey.BaseRx):
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@@ -43,9 +43,6 @@ class BaseRx(SimPEG.Survey.BaseRx):
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elif adjoint:
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return P.T*v
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# DC.Rx.Dipole(locs)
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class Dipole(BaseRx):
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@@ -77,6 +74,56 @@ class Dipole(BaseRx):
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return P
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# class Pole(BaseRx):
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class Dipole_ky(BaseRx):
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def __init__(self, locsM, locsN, rxType = 'phi', **kwargs):
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assert locsM.shape == locsN.shape, 'locsM and locsN need to be the same size'
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locs = [locsM, locsN]
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# We may not need this ...
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BaseRx.__init__(self, locs, rxType)
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@property
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def nD(self):
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"""Number of data in the receiver."""
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return self.locs[0].shape[0]
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# Not sure why ...
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# return int(self.locs[0].size / 2)
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def getP(self, mesh, Gloc):
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if mesh in self._Ps:
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return self._Ps[mesh]
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P0 = mesh.getInterpolationMat(self.locs[0], Gloc)
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P1 = mesh.getInterpolationMat(self.locs[1], Gloc)
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P = P0 - P1
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if self.storeProjections:
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self._Ps[mesh] = P
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return P
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def eval(self, ky, src, mesh, f):
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P = self.getP(mesh, self.projGLoc(f))
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Pf = P*f[src, self.projField,:]
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return self.IntTrapezoidal(ky, Pf, y=0.)
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def evalDeriv(self, ky, src, mesh, f, v, adjoint=False):
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P = self.getP(mesh, self.projGLoc(f))
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if not adjoint:
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return P*v
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elif adjoint:
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return P.T*v
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def IntTrapezoidal(self, ky, Pf, y=0.):
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phi = np.zeros(Pf.shape[0])
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nky = ky.size
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dky = np.diff(ky)
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dky = np.r_[dky[0], dky]
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phi0 = Pf[:,0]
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for iky in range(nky):
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phi1 = 2./np.pi*Pf[:,iky]/2.
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phi += phi1*dky[iky]/2.*np.cos(ky[iky]*y)
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phi += phi0*dky[iky]/2.*np.cos(ky[iky]*y)
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phi0 = phi1.copy()
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return phi
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@@ -57,5 +57,3 @@ class Pole(BaseSrc):
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q[inds] = self.current * np.r_[1.]
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return q
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# def bc_contribution
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@@ -1,6 +1,6 @@
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import SimPEG
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from SimPEG.EM.Base import BaseEMSurvey
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from SimPEG import sp
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from SimPEG import sp, Survey
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from SimPEG.Utils import Zero, Identity
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from RxDC import BaseRx
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from SrcDC import BaseSrc
|
||||
@@ -13,6 +13,24 @@ class Survey(BaseEMSurvey):
|
||||
self.srcList = srcList
|
||||
BaseEMSurvey.__init__(self, srcList, **kwargs)
|
||||
|
||||
class Survey_ky(BaseEMSurvey):
|
||||
rxPair = BaseRx
|
||||
srcPair = BaseSrc
|
||||
|
||||
def __init__(self, srcList, **kwargs):
|
||||
self.srcList = srcList
|
||||
BaseEMSurvey.__init__(self, srcList, **kwargs)
|
||||
|
||||
|
||||
def eval(self, f):
|
||||
"""
|
||||
Project fields to receiver locations
|
||||
:param Fields u: fields object
|
||||
:rtype: numpy.ndarray
|
||||
:return: data
|
||||
"""
|
||||
data = SimPEG.Survey.Data(self)
|
||||
ky = self.prob.ky
|
||||
for src in self.srcList:
|
||||
for rx in src.rxList:
|
||||
data[src, rx] = rx.eval(ky, src, self.mesh, f)
|
||||
return data
|
||||
|
||||
@@ -1,5 +1,6 @@
|
||||
from ProblemDC import Problem3D_CC, Problem3D_N
|
||||
from SurveyDC import Survey
|
||||
from ProblemDC_2D import Problem2D_CC
|
||||
from SurveyDC import Survey, Survey_ky
|
||||
import SrcDC as Src #Pole
|
||||
import RxDC as Rx
|
||||
from FieldsDC import Fields_CC
|
||||
|
||||
Reference in New Issue
Block a user