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https://github.com/wassname/simpeg.git
synced 2026-06-28 14:12:43 +08:00
cylMesh Conventions.. A start
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@@ -22,13 +22,19 @@ class MixinInitialFieldCalc(object):
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return F
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def _getInitialFields_VMD_MVP(self):
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if self.mesh._meshType is 'CYL1D':
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MVP = Sources.MagneticDipoleVectorPotential(np.r_[0,0,self.survey.txLoc], np.c_[np.zeros(self.mesh.nN), self.mesh.gridN], 'x')
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if self.mesh._meshType is 'CYL':
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if self.mesh.isSymmetric:
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MVP = Sources.MagneticDipoleVectorPotential(self.survey.txLoc, self.mesh.gridEy, 'y')
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# MVP = Sources.MagneticDipoleVectorPotential(self.survey.txLoc, np.c_[np.zeros(self.mesh.nN), self.mesh.gridN], 'x')
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else:
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raise NotImplementedError('Non-symmetric cyl mesh not implemented yet!')
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elif self.mesh._meshType is 'TENSOR':
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MVPx = Sources.MagneticDipoleVectorPotential(self.survey.txLoc, self.mesh.gridEx, 'x')
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MVPy = Sources.MagneticDipoleVectorPotential(self.survey.txLoc, self.mesh.gridEy, 'y')
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MVPz = Sources.MagneticDipoleVectorPotential(self.survey.txLoc, self.mesh.gridEz, 'z')
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MVP = np.concatenate((MVPx, MVPy, MVPz))
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else:
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raise Exception('Unknown mesh for VMD')
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# Initialize field object
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F = FieldsTDEM(self.mesh, 1, self.times.size, store=self.storeTheseFields)
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@@ -60,7 +66,7 @@ class MixinTimeStuff(object):
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nsteps = property(**nsteps())
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def times():
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doc = "Modelling times"
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doc = "Modeling times"
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def fget(self):
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t = np.r_[1:self.nsteps[0]+1]*self.dt[0]
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for i in range(1,self.dt.size):
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@@ -116,10 +122,10 @@ class ProblemBaseTDEM(MixinTimeStuff, MixinInitialFieldCalc, BaseProblem):
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def MeSigmaI(self): return self._MeSigmaI
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def makeMassMatrices(self, m):
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m = self.model.transform(m)
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self._MeSigma = self.mesh.getMass(m, loc='e')
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sig = self.model.transform(m)
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self._MeSigma = self.mesh.getEdgeInnerProduct(sig)
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self._MeSigmaI = sdiag(1/self.MeSigma.diagonal())
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self._MfMui = self.mesh.getMass(1/mu_0, loc='f')
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self._MfMui = self.mesh.getFaceInnerProduct(1/mu_0)
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def calcFields(self, sol, solType, tInd):
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@@ -134,7 +140,8 @@ class ProblemBaseTDEM(MixinTimeStuff, MixinInitialFieldCalc, BaseProblem):
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return {'b':b, 'e':e}
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solveOpts = {'factorize':True,'backend':'scipy'}
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Solver = Solver
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solveOpts = {}
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def fields(self, m):
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self.makeMassMatrices(m)
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@@ -153,7 +160,7 @@ class ProblemBaseTDEM(MixinTimeStuff, MixinInitialFieldCalc, BaseProblem):
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dtFact = dt
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A = self.getA(tInd)
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# print 'Factoring... (dt = ' + str(dt) + ')'
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Asolve = Solver(A, options=self.solveOpts)
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Asolve = self.Solver(A, **self.solveOpts)
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# print 'Done'
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rhs = RHS(tInd, F)
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sol = Asolve.solve(rhs)
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@@ -47,7 +47,7 @@ class SurveyTDEM1D(BaseSurvey):
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def Qrx(self):
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if self._Qrx is None:
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if self.rxType == 'bz':
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locType = 'fz'
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locType = 'Fz'
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self._Qrx = self.prob.mesh.getInterpolationMat(self.rxLoc, locType=locType)
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return self._Qrx
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_Qrx = None
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@@ -12,7 +12,7 @@ class TDEM_bDerivTests(unittest.TestCase):
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npad = 20
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hx = Utils.meshTensors(((0,cs), (ncx,cs), (npad,cs)))
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hy = Utils.meshTensors(((npad,cs), (ncy,cs), (npad,cs)))
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mesh = Mesh.Cyl1DMesh([hx,hy], -hy.sum()/2)
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mesh = Mesh.CylMesh([hx,hy], -hy.sum()/2)
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active = mesh.vectorCCz<0.
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model = Model.ActiveModel(mesh, active, -8, nC=mesh.nCz)
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@@ -21,7 +21,7 @@ class TDEM_bDerivTests(unittest.TestCase):
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opts = {'txLoc':0.,
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'txType':'VMD_MVP',
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'txType': 'VMD_MVP',
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'rxLoc':np.r_[150., 0.],
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'rxType':'bz',
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'timeCh':np.logspace(-4,-2,20),
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@@ -5,54 +5,118 @@ from scipy.constants import mu_0
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from simpegEM.Utils.Ana import hzAnalyticDipoleT
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import matplotlib.pyplot as plt
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import simpegem1d as EM1D
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class TDEM_bTests(unittest.TestCase):
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def setUp(self):
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cs = 10.
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ncx = 15
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ncy = 10
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npad = 20
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hx = Utils.meshTensors(((0,cs), (ncx,cs), (npad,cs)))
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hy = Utils.meshTensors(((npad,cs), (ncy,cs), (npad,cs)))
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mesh = Mesh.Cyl1DMesh([hx,hy], -hy.sum()/2)
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# cs = 20.
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# ncx = 15
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# ncy = 10
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# npad = 15
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# hx = Utils.meshTensors(((0,cs), (ncx,cs), (npad,cs)))
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# hy = Utils.meshTensors(((npad,cs), (ncy,cs), (npad,cs)))
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# mesh = Mesh.CylMesh([hx,1,hz], [0,0,-hz.sum()/2])
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cs, nc, npad = 20., 15, 10
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hx = Utils.meshTensors(((npad,cs), (nc,cs), (npad,cs)))
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hy = Utils.meshTensors(((npad,cs), (nc,cs), (npad,cs)))
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hz = Utils.meshTensors(((npad,cs), (nc,cs), (npad,cs)))
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mesh = Mesh.TensorMesh([hx,hy,hz], [-hx.sum()/2.,-hy.sum()/2.,-hz.sum()/2.])
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active = mesh.vectorCCz<0.
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model = Model.ActiveModel(mesh, active, -8, nC=mesh.nCz)
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model = Model.ComboModel(mesh,
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[Model.LogModel, Model.Vertical1DModel, model])
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opts = {'txLoc':0.,
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opts = {'txLoc':np.array([0., 0., 0.]),
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'txType':'VMD_MVP',
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'rxLoc':np.r_[30., 0.],
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'rxLoc':np.array([[10., 0., 0.]]),
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'rxType':'bz',
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'timeCh':np.logspace(-4,-2.5, 21),
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'timeCh':np.logspace(-5,-4, 21),
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}
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sig_half = 1e-3
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self.sig_half = sig_half
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self.dat = EM.TDEM.SurveyTDEM1D(**opts)
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self.prb = EM.TDEM.ProblemTDEM_b(model)
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self.prb.setTimes([1e-6, 5e-6, 1e-5, 5e-5, 1e-4, 5e-4], [40, 40, 40, 40, 40, 40])
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from mumpsSCI import MumpsSolver
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self.prb.Solver = MumpsSolver
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self.prb.setTimes([1e-6], [100])
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self.sigma = np.ones(mesh.nCz)*1e-8
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self.sigma[mesh.vectorCCz<0] = 1e-3
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self.sigma[active] = sig_half
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self.sigma = np.log(self.sigma[active])
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self.showIt = False
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self.showIt = True
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self.prb.pair(self.dat)
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TDsurvey = EM1D.BaseEM1D.EM1DSurveyTD()
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TDsurvey.rxLoc = np.array([0., 0., 30.])
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TDsurvey.txLoc = np.array([0., 0., 80.])
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TDsurvey.fieldtype = 'secondary'
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TDsurvey.waveType = 'stepoff'
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TDsurvey.time = self.prb.times #np.logspace(-5, -2, 64)
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TDsurvey.setFrequency(TDsurvey.time)
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nearthick = np.logspace(-1, 1, 5)
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deepthick = np.logspace(1, 2, 10)
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hx = np.r_[nearthick, deepthick]
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mesh1D = Mesh.TensorMesh([hx], [0.])
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depth = -mesh1D.gridN
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LocSigZ = -mesh1D.gridCC
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nlay = depth.size
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topo = np.r_[0., 0., 0.]
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TDsurvey.depth = depth
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TDsurvey.topo = topo
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TDsurvey.LocSigZ = LocSigZ
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TDsurvey.HalfSwitch = True
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TDsurvey.Setup1Dsystem()
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chi_half = 0.
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Logmodel = EM1D.BaseEM1D.BaseEM1DModel(mesh1D)
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modelReal = Model.ComboModel(mesh1D, [Logmodel])
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m_1D = np.log(np.ones(nlay)*sig_half)
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TDsurvey.rxType = 'Bz'
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WT0, WT1, YBASE = EM1D.DigFilter.LoadWeights()
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options = {'WT0': WT0, 'WT1': WT1, 'YBASE': YBASE}
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prob = EM1D.EM1D.EM1D(modelReal, **options)
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prob.pair(TDsurvey)
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prob.chi = np.zeros(TDsurvey.nlay)
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survey = TDsurvey
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options = options
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prob.CondType = 'Real'
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prob.survey.txType = 'VMD'
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prob.survey.offset = 1e-5
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m_1D = np.log(np.ones(prob.survey.nlay)*sig_half)
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Bz = survey.dpred(m_1D)
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self.Bzanal = Bz
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def test_analitic_b(self):
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bz_calc = self.dat.dpred(self.sigma)
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bz_ana = mu_0*hzAnalyticDipoleT(self.dat.rxLoc[0], self.prb.times, np.exp(self.sigma[0]))
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# bz_ana = self.Bzanal
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bz_ana = mu_0*hzAnalyticDipoleT(self.dat.rxLoc[0,0], self.prb.times, self.sig_half)
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ind = self.prb.times > 1e-5
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diff = np.linalg.norm(bz_calc[ind].flatten() - bz_ana[ind].flatten())/np.linalg.norm(bz_ana[ind].flatten())
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if self.showIt == True:
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plt.loglog(self.prb.times[bz_calc>0], bz_calc[bz_calc>0], 'b', self.prb.times[bz_calc<0], -bz_calc[bz_calc<0], 'b--')
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plt.loglog(self.prb.times[bz_calc>0], bz_calc[bz_calc>0], 'r', self.prb.times[bz_calc<0], -bz_calc[bz_calc<0], 'r--')
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plt.loglog(self.prb.times, abs(bz_ana), 'b*')
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plt.xlim(1e-5, 1e-2)
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plt.show()
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print diff
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print 'Difference: ', diff
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self.assertTrue(diff < 0.10)
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