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Working on IP
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@@ -13,8 +13,6 @@ class IPPropMap(Maps.PropMap):
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(\\(\\eta\\)) is the default inversion property
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"""
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eta = Maps.Property("Electrical Chargeability", defaultInvProp = True)
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# sigma = Maps.Property("Electrical Conductivity", defaultVal=mu_0, propertyLink=('rho',Maps.ReciprocalMap))
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# rho = Maps.Property("Electrical Resistivity", propertyLink=('sigma', Maps.ReciprocalMap))
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class BaseIPProblem(BaseEMProblem):
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@@ -92,9 +90,10 @@ class BaseIPProblem(BaseEMProblem):
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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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# Conductivity ((d u / d log sigma).T)
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if self._formulation is 'EB':
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return -Utils.mkvc(Jtv)
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# Conductivity ((d u / d log rho).T)
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if self._formulation is 'HJ':
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return Utils.mkvc(Jtv)
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@@ -6,26 +6,23 @@ class DCProblemAnalyticTests(unittest.TestCase):
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def setUp(self):
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cs = 25.
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hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
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hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
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hz = [(cs,7, -1.3),(cs,20)]
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mesh = Mesh.TensorMesh([hx, hy, hz],x0="CCN")
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sigma = np.ones(mesh.nC)*1e-2
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x = mesh.vectorCCx[(mesh.vectorCCx>-155.)&(mesh.vectorCCx<155.)]
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y = mesh.vectorCCx[(mesh.vectorCCy>-155.)&(mesh.vectorCCy<155.)]
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Aloc = np.r_[-200., 0., 0.]
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Bloc = np.r_[200., 0., 0.]
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M = Utils.ndgrid(x-25.,y, np.r_[0.])
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N = Utils.ndgrid(x+25.,y, np.r_[0.])
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phiA = EM.Analytics.DCAnalyticHalf(Aloc, [M,N], 1e-2, flag="halfspace")
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phiB = EM.Analytics.DCAnalyticHalf(Bloc, [M,N], 1e-2, flag="halfspace")
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data_anal = phiA-phiB
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cs = 12.5
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hx = [(cs,7, -1.3),(cs,61),(cs,7, 1.3)]
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hy = [(cs,7, -1.3),(cs,20)]
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mesh = Mesh.TensorMesh([hx, hy],x0="CN")
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sighalf = 1e-2
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sigma = np.ones(mesh.nC)*sighalf
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x = np.linspace(-135, 250., 20)
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M = Utils.ndgrid(x-12.5, np.r_[0.])
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N = Utils.ndgrid(x+12.5, np.r_[0.])
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A0loc = np.r_[-150, 0.]
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A1loc = np.r_[-130, 0.]
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rxloc = [np.c_[M, np.zeros(20)], np.c_[N, np.zeros(20)]]
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data_anal = EM.Analytics.DCAnalyticHalf(np.r_[A0loc, 0.], rxloc, sighalf, flag="halfspace")
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rx = DC.Rx.Dipole(M, N)
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src = DC.Src.Dipole([rx], Aloc, Bloc)
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survey = DC.Survey([src])
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src0 = DC.Src.Pole([rx], A0loc)
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survey = DC.Survey([src0])
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self.survey = survey
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self.mesh = mesh
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@@ -39,12 +36,13 @@ class DCProblemAnalyticTests(unittest.TestCase):
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self.Solver = SolverLU
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def test_Problem3D_N(self):
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problem = DC.Problem3D_N(self.mesh)
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problem = DC.Problem2D_N(self.mesh)
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problem.Solver = self.Solver
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problem.pair(self.survey)
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data = self.survey.dpred(self.sigma)
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err= np.linalg.norm(data-self.data_anal)/np.linalg.norm(self.data_anal)
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if err < 0.2:
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err= np.linalg.norm((data-self.data_anal)/self.data_anal)**2 / self.data_anal.size
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if err < 0.05:
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passed = True
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print ">> DC analytic test for Problem3D_N is passed"
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else:
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@@ -53,12 +51,12 @@ class DCProblemAnalyticTests(unittest.TestCase):
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self.assertTrue(passed)
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def test_Problem3D_CC(self):
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problem = DC.Problem3D_CC(self.mesh)
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problem = DC.Problem2D_CC(self.mesh)
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problem.Solver = self.Solver
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problem.pair(self.survey)
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data = self.survey.dpred(self.sigma)
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err= np.linalg.norm(data-self.data_anal)/np.linalg.norm(self.data_anal)
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if err < 0.2:
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err= np.linalg.norm((data-self.data_anal)/self.data_anal)**2 / self.data_anal.size
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if err < 0.05:
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passed = True
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print ">> DC analytic test for Problem3D_CC is passed"
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else:
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@@ -6,23 +6,26 @@ class DCProblemAnalyticTests(unittest.TestCase):
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def setUp(self):
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cs = 12.5
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hx = [(cs,7, -1.3),(cs,61),(cs,7, 1.3)]
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hy = [(cs,7, -1.3),(cs,20)]
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mesh = Mesh.TensorMesh([hx, hy],x0="CN")
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sighalf = 1e-2
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sigma = np.ones(mesh.nC)*sighalf
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x = np.linspace(-135, 250., 20)
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M = Utils.ndgrid(x-12.5, np.r_[0.])
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N = Utils.ndgrid(x+12.5, np.r_[0.])
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A0loc = np.r_[-150, 0.]
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A1loc = np.r_[-130, 0.]
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rxloc = [np.c_[M, np.zeros(20)], np.c_[N, np.zeros(20)]]
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data_anal = EM.Analytics.DCAnalyticHalf(np.r_[A0loc, 0.], rxloc, sighalf, flag="halfspace")
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cs = 25.
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hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
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hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
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hz = [(cs,7, -1.3),(cs,20)]
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mesh = Mesh.TensorMesh([hx, hy, hz],x0="CCN")
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sigma = np.ones(mesh.nC)*1e-2
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rx = DC.Rx.Dipole_ky(M, N)
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src0 = DC.Src.Pole([rx], A0loc)
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survey = DC.Survey_ky([src0])
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x = mesh.vectorCCx[(mesh.vectorCCx>-155.)&(mesh.vectorCCx<155.)]
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y = mesh.vectorCCx[(mesh.vectorCCy>-155.)&(mesh.vectorCCy<155.)]
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Aloc = np.r_[-200., 0., 0.]
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Bloc = np.r_[200., 0., 0.]
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M = Utils.ndgrid(x-25.,y, np.r_[0.])
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N = Utils.ndgrid(x+25.,y, np.r_[0.])
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phiA = EM.Analytics.DCAnalyticHalf(Aloc, [M,N], 1e-2, flag="halfspace")
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phiB = EM.Analytics.DCAnalyticHalf(Bloc, [M,N], 1e-2, flag="halfspace")
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data_anal = phiA-phiB
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rx = DC.Rx.Dipole(M, N)
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src = DC.Src.Dipole([rx], Aloc, Bloc)
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survey = DC.Survey([src])
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self.survey = survey
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self.mesh = mesh
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@@ -36,13 +39,12 @@ class DCProblemAnalyticTests(unittest.TestCase):
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self.Solver = SolverLU
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def test_Problem3D_N(self):
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problem = DC.Problem2D_N(self.mesh)
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problem = DC.Problem3D_N(self.mesh)
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problem.Solver = self.Solver
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problem.pair(self.survey)
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data = self.survey.dpred(self.sigma)
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err= np.linalg.norm((data-self.data_anal)/self.data_anal)**2 / self.data_anal.size
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if err < 0.05:
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err= np.linalg.norm(data-self.data_anal)/np.linalg.norm(self.data_anal)
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if err < 0.2:
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passed = True
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print ">> DC analytic test for Problem3D_N is passed"
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else:
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@@ -51,12 +53,12 @@ class DCProblemAnalyticTests(unittest.TestCase):
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self.assertTrue(passed)
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def test_Problem3D_CC(self):
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problem = DC.Problem2D_CC(self.mesh)
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problem = DC.Problem3D_CC(self.mesh)
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problem.Solver = self.Solver
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problem.pair(self.survey)
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data = self.survey.dpred(self.sigma)
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err= np.linalg.norm((data-self.data_anal)/self.data_anal)**2 / self.data_anal.size
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if err < 0.05:
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err= np.linalg.norm(data-self.data_anal)/np.linalg.norm(self.data_anal)
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if err < 0.2:
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passed = True
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print ">> DC analytic test for Problem3D_CC is passed"
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else:
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@@ -0,0 +1,77 @@
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import unittest
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from SimPEG import Mesh, Utils, EM, Maps, np
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import SimPEG.EM.Static.DC as DC
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class IPProblemAnalyticTests(unittest.TestCase):
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def setUp(self):
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cs = 12.5
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hx = [(cs,2, -1.3),(cs,61),(cs,2, 1.3)]
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hy = [(cs,2, -1.3),(cs,20)]
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mesh = Mesh.TensorMesh([hx, hy],x0="CN")
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sighalf = 1e-2
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sigma = np.ones(mesh.nC)*sighalf
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x = np.linspace(-135, 250., 20)
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M = Utils.ndgrid(x-12.5, np.r_[0.])
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N = Utils.ndgrid(x+12.5, np.r_[0.])
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A0loc = np.r_[-150, 0.]
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A1loc = np.r_[-130, 0.]
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rxloc = [np.c_[M, np.zeros(20)], np.c_[N, np.zeros(20)]]
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blkind = Utils.ModelBuilder.getIndicesSphere(xc, radius, mesh.gridCC)
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sigmaInf = np.ones(mesh.nC)*1e-2
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eta = np.zeros(mesh.nC)
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eta[blkind] = 0.1
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sigma0 = sigmaInf*(1.-eta)
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rx = DC.Rx.Dipole_ky(M, N)
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src0 = DC.Src.Pole([rx], A0loc)
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surveyDC = DC.Survey([src0])
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surveyIP = DC.Survey_ky([src0])
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self.surveyDC = surveyDC
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self.surveyIP = surveyIP
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self.mesh = mesh
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self.sigma = sigma
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self.data_anal = data_anal
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try:
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from pymatsolver import MumpsSolver
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self.Solver = MumpsSolver
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except ImportError, e:
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self.Solver = SolverLU
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def test_Problem3D_N(self):
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problem = DC.Problem2D_N(self.mesh)
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problem.Solver = self.Solver
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problem.pair(self.survey)
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data = self.survey.dpred(self.sigma)
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err= np.linalg.norm((data-self.data_anal)/self.data_anal)**2 / self.data_anal.size
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if err < 0.05:
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passed = True
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print ">> DC analytic test for Problem3D_N is passed"
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else:
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passed = False
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print ">> DC analytic test for Problem3D_N is failed"
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self.assertTrue(passed)
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def test_Problem3D_CC(self):
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problem = DC.Problem2D_CC(self.mesh)
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problem.Solver = self.Solver
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problem.pair(self.survey)
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data = self.survey.dpred(self.sigma)
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err= np.linalg.norm((data-self.data_anal)/self.data_anal)**2 / self.data_anal.size
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if err < 0.05:
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passed = True
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print ">> DC analytic test for Problem3D_CC is passed"
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else:
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passed = False
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print ">> DC analytic test for Problem3D_CC is failed"
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self.assertTrue(passed)
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if __name__ == '__main__':
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unittest.main()
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