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93 lines
3.6 KiB
Python
93 lines
3.6 KiB
Python
import unittest
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from SimPEG import *
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import simpegEM as EM
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from scipy.constants import mu_0
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import matplotlib.pyplot as plt
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def halfSpaceProblemAnaDiff(meshType, sig_half=1e-2, rxOffset=50., bounds=[1e-5,1e-3], showIt=False):
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if meshType == 'CYL':
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cs, ncx, ncz, npad = 5., 30, 10, 15
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hx = [(cs,ncx), (cs,npad,1.3)]
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hz = [(cs,npad,-1.3), (cs,ncz), (cs,npad,1.3)]
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mesh = Mesh.CylMesh([hx,1,hz], '00C')
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elif meshType == 'TENSOR':
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cs, nc, npad = 20., 13, 5
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hx = [(cs,npad,-1.3), (cs,nc), (cs,npad,1.3)]
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hy = [(cs,npad,-1.3), (cs,nc), (cs,npad,1.3)]
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hz = [(cs,npad,-1.3), (cs,nc), (cs,npad,1.3)]
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mesh = Mesh.TensorMesh([hx,hy,hz], 'CCC')
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active = mesh.vectorCCz<0.
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actMap = Maps.ActiveCells(mesh, active, np.log(1e-8), nC=mesh.nCz)
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mapping = Maps.ComboMap(mesh, [Maps.ExpMap, Maps.Vertical1DMap, actMap])
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opts = {'txLoc':np.array([0., 0., 0.]),
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'txType':'VMD_MVP',
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'rxLoc':np.array([rxOffset, 0., 0.]),
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'rxType':'bz',
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'timeCh':np.logspace(-5,-4, 21),
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}
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survey = EM.TDEM.SurveyTDEM1D(**opts)
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prb = EM.TDEM.ProblemTDEM_b(mesh, mapping=mapping)
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prb.Solver = Utils.SolverUtils.DSolverWrap(sp.linalg.splu, factorize=True)
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# try:
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# from mumpsSCI import MumpsSolver
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# prb.Solver = MumpsSolver
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# except ImportError, e:
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# pass
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prb.timeSteps = [(1e-06, 40), (5e-06, 40), (1e-05, 40), (5e-05, 40), (0.0001, 40), (0.0005, 40)]
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sigma = np.ones(mesh.nCz)*1e-8
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sigma[active] = sig_half
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sigma = np.log(sigma[active])
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prb.pair(survey)
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bz_ana = mu_0*EM.Utils.Ana.hzAnalyticDipoleT(survey.rxLoc[0]+1e-3, prb.times[1:], sig_half)
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bz_calc = survey.dpred(sigma)
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ind = np.logical_and(prb.times[1:] > bounds[0],prb.times[1:] < bounds[1])
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log10diff = np.linalg.norm(np.log10(np.abs(bz_calc[ind])) - np.log10(np.abs(bz_ana[ind])))/np.linalg.norm(np.log10(np.abs(bz_ana[ind])))
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print 'Difference: ', log10diff
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if showIt == True:
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plt.loglog(prb.times[1:][bz_calc>0], bz_calc[bz_calc>0], 'r', prb.times[1:][bz_calc<0], -bz_calc[bz_calc<0], 'r--')
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plt.loglog(prb.times[1:], abs(bz_ana), 'b*')
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plt.title('sig_half = %e'%sig_half)
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plt.show()
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return log10diff
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class TDEM_bTests(unittest.TestCase):
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def test_analitic_p2_CYL_50m(self):
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self.assertTrue(halfSpaceProblemAnaDiff('CYL', rxOffset=50., sig_half=1e+2) < 0.01)
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def test_analitic_p1_CYL_50m(self):
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self.assertTrue(halfSpaceProblemAnaDiff('CYL', rxOffset=50., sig_half=1e+1) < 0.01)
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def test_analitic_p0_CYL_50m(self):
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self.assertTrue(halfSpaceProblemAnaDiff('CYL', rxOffset=50., sig_half=1e+0) < 0.01)
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def test_analitic_m1_CYL_50m(self):
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self.assertTrue(halfSpaceProblemAnaDiff('CYL', rxOffset=50., sig_half=1e-1) < 0.01)
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def test_analitic_m2_CYL_50m(self):
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self.assertTrue(halfSpaceProblemAnaDiff('CYL', rxOffset=50., sig_half=1e-2) < 0.01)
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def test_analitic_m3_CYL_50m(self):
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self.assertTrue(halfSpaceProblemAnaDiff('CYL', rxOffset=50., sig_half=1e-3) < 0.02)
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def test_analitic_p0_CYL_1m(self):
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self.assertTrue(halfSpaceProblemAnaDiff('CYL', rxOffset=1.0, sig_half=1e+0) < 0.01)
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def test_analitic_m1_CYL_1m(self):
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self.assertTrue(halfSpaceProblemAnaDiff('CYL', rxOffset=1.0, sig_half=1e-1) < 0.01)
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def test_analitic_m2_CYL_1m(self):
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self.assertTrue(halfSpaceProblemAnaDiff('CYL', rxOffset=1.0, sig_half=1e-2) < 0.01)
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def test_analitic_m3_CYL_1m(self):
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self.assertTrue(halfSpaceProblemAnaDiff('CYL', rxOffset=1.0, sig_half=1e-3) < 0.02)
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if __name__ == '__main__':
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unittest.main()
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