mirror of
https://github.com/wassname/simpeg.git
synced 2026-08-20 12:50:34 +08:00
Fixed bugs. Added notebooks with halfspace and layer examples.
Code is working (returning results with in couple of % for a 1D analytic solution) but test need to be "automated".
This commit is contained in:
Gudni Karl Rosenkjaer
@@ -26,12 +26,12 @@ for loc in rx_loc:
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rxList.append(simpegmt.SurveyMT.RxMT(simpeg.mkvc(loc,2).T,rxType))
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# Source list
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srcList =[]
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for freq in np.logspace(3,-1,5):
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for freq in np.logspace(3,-3,7):
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srcList.append(simpegmt.SurveyMT.srcMT(freq,rxList))
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# Survey MT
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survey = simpegmt.SurveyMT.SurveyMT(srcList)
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## Setup the problem objec
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## Setup the problem object
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problem = simpegmt.ProblemMT.MTProblem(M)
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problem.pair(survey)
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@@ -1,4 +1,4 @@
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from SimPEG import Survey, Problem, Utils, Models, np, sp, Solver as SimpegSolver
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from SimPEG import Survey, Problem, Utils, Models, np, sp, SolverLU as SimpegSolver
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from scipy.constants import mu_0
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from SurveyMT import SurveyMT, FieldsMT
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@@ -120,7 +120,8 @@ class MTProblem(Problem.BaseProblem):
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# Store the fields
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F[Src, 'e_px'] = e[:,0]
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F[Src, 'e_py'] = e[:,1]
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b = self.mesh.edgeCurl * e
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# Note curl e = -iwb so b = -curl/iw
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b = -( self.mesh.edgeCurl * e )/( 1j*omega(freq) )
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F[Src, 'b_px'] = b[:,0]
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F[Src, 'b_py'] = b[:,1]
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return F
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@@ -138,7 +139,7 @@ class MTProblem(Problem.BaseProblem):
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sig = self.MeSigma
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C = self.mesh.edgeCurl
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return C.T*mui*C + 1j*omega(freq)*sig
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return C.T*mui*C - 1j*omega(freq)*sig
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def getAbg(self, freq):
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"""
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@@ -152,7 +153,7 @@ class MTProblem(Problem.BaseProblem):
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sigBG = self.MeSigmaBG
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C = self.mesh.edgeCurl
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return C.T*mui*C + 1j*omega(freq)*sigBG
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return C.T*mui*C - 1j*omega(freq)*sigBG
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def getADeriv(self, freq, u, v, adjoint=False):
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sig = self.curTModel
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@@ -181,7 +182,7 @@ class MTProblem(Problem.BaseProblem):
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eBG_bp = homo1DModelSource(self.mesh,freq,backSigma)
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Abg = self.getAbg(freq)
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return Abg*eBG_bp
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return -Abg*eBG_bp
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##################################################################
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# Inversion stuff
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@@ -16,7 +16,8 @@ def homo1DModelSource(mesh,freq,m_back):
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from simpegMT.Utils import get1DEfields
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# Get a 1d solution for a halfspace background
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mesh1d = simpeg.Mesh.TensorMesh([mesh.hz],np.array([mesh.x0[2]]))
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e0_1d = get1DEfields(mesh1d,mesh.r(m_back,'CC','CC','M')[0,0,:],freq)
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# Note: Need to conjugate the source field to comply with orientations
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e0_1d = get1DEfields(mesh1d,mesh.r(m_back,'CC','CC','M')[0,0,:],freq).conj()
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# Setup x (east) polarization (_x)
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ex_px = np.zeros(mesh.vnEx,dtype=complex)
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ey_px = np.zeros((mesh.nEy,1),dtype=complex)
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@@ -24,18 +25,19 @@ def homo1DModelSource(mesh,freq,m_back):
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# Assign the source to ex_x
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for i in np.arange(mesh.vnEx[0]):
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for j in np.arange(mesh.vnEx[1]):
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ex_px[i,j,:] = e0_1d
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ex_px[1:-1,1:-1,1:-1] = 0
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eBG_px = np.vstack((simpeg.Utils.mkvc(mesh.r(ex_px,'Ex','Ex','V'),2),ey_px,ez_px))
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ex_px[i,j,:] = -e0_1d
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# ex_px[1:-1,1:-1,1:-1] = 0
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eBG_px = np.vstack((simpeg.Utils.mkvc(ex_px,2),ey_px,ez_px))
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# Setup y (north) polarization (_py)
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ex_py = np.zeros((mesh.nEx,1), dtype='complex128')
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ey_py = np.zeros(mesh.vnEy, dtype='complex128')
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ez_py = np.zeros((mesh.nEz,1), dtype='complex128')
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# Assign the source to ey_py
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for i in np.arange(mesh.vnEy[0]):
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for j in np.arange(mesh.vnEy[1]):
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ey_py[i,j,:] = e0_1d
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ey_py[1:-1,1:-1,1:-1] = 0
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ey_py[i,j,:] = e0_1d
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# ey_py[1:-1,1:-1,1:-1] = 0
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eBG_py = np.vstack((ex_py,simpeg.Utils.mkvc(ey_py,2),ez_py))
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# Return the electric fields
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@@ -269,7 +269,7 @@ class DataMT(Survey.Data):
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from numpy.lib import recfunctions as recFunc
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dt = dtCP
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for uniFL in uniFLmarr:
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mTemp = simpeg.mkvc(rec2ndarr(mArrRec[np.ma.where(mArrRec[['freq','x','y','z']].data == np.array(uniFL))][impList]).sum(axis=0),2).T
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mTemp = mkvc(rec2ndarr(mArrRec[np.ma.where(mArrRec[['freq','x','y','z']].data == np.array(uniFL))][impList]).sum(axis=0),2).T
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compBlock = np.sum(mTemp.data.reshape((4,2))*np.array([[1,1j],[1,1j],[1,1j],[1,1j]]),axis=1).copy().view(dt[4::])
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dataBlock = mkvc(recFunc.merge_arrays((np.array(uniFL),compBlock),flatten=True),2).T
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try:
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@@ -47,12 +47,19 @@ def getEHfields(m1d,sigma,freq,zd):
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UDp[:,lnr+1] = elamh.dot(Pjinv.dot(Pj1)).dot(UDp[:,lnr])
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# Calculate the fields
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Ed = np.zeros((zd.size,),dtype=complex)
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Eu = np.zeros((zd.size,),dtype=complex)
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Hd = np.zeros((zd.size,),dtype=complex)
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Hu = np.zeros((zd.size,),dtype=complex)
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Ed = np.empty((zd.size,),dtype=complex)
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Eu = np.empty((zd.size,),dtype=complex)
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Hd = np.empty((zd.size,),dtype=complex)
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Hu = np.empty((zd.size,),dtype=complex)
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# Loop over the layers and calculate the fields
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# In the halfspace below the mesh
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dup = m1d.vectorNx[0]
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dind = dup >= zd
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Ed[dind] = UDp[1,0]*np.exp(-1j*k[0]*(dup-zd[dind]))
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Eu[dind] = UDp[0,0]*np.exp(1j*k[0]*(dup-zd[dind]))
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Hd[dind] = (k[0]/(w*mu[0]))*UDp[1,0]*np.exp(-1j*k[0]*(dup-zd[dind]))
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Hu[dind] = -(k[0]/(w*mu[0]))*UDp[0,0]*np.exp(1j*k[0]*(dup-zd[dind]))
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for ki,mui,epsi,dlow,dup,Up,Dp in zip(k[1::],mu[1::],eps[1::],m1d.vectorNx[:-1],m1d.vectorNx[1::],UDp[0,1::],UDp[1,1::]):
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dind = np.logical_and(dup >= zd, zd > dlow)
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Ed[dind] = Dp*np.exp(-1j*ki*(dup-zd[dind]))
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@@ -20,10 +20,12 @@ def get1DEfields(m1d,sigma,freq,sourceAmp=1.0):
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Aio = A[1:-1,[0,-1]]
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# Set the boundary conditions
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Ed_low, Eu_low, Hd_low, Hu_low = getEHfields(m1d,sigma,freq,np.array([m1d.vectorNx[0]]))
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Etot_low = Ed_low + Eu_low
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Ed, Eu, Hd, Hu = getEHfields(m1d,sigma,freq,m1d.vectorNx)
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Etot = Ed + Eu
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if sourceAmp is not None:
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Etot = ((Etot/Etot[-1])*sourceAmp) # Scale the fields to be equal to sourceAmp at the top
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## Note: need to use conjugate of the analytic solution. It is derived with e^iwt
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bc = np.r_[Etot_low.conj(),sourceAmp]
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bc = np.r_[Etot[0],Etot[-1]]
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# The right hand side
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rhs = -Aio*bc
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# Solve the system
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