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rowanc1
61 lines
1.5 KiB
Python
61 lines
1.5 KiB
Python
import sys
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sys.path.append('../../')
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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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cs = 10.
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ncx, ncy, ncz = 8, 8, 8
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npad = 5
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hx = Utils.meshTensors(((npad,cs), (ncx,cs), (npad,cs)))
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hy = Utils.meshTensors(((npad,cs), (ncy,cs), (npad,cs)))
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hz = Utils.meshTensors(((npad,cs), (ncz,cs), (npad,cs)))
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mesh = Mesh.TensorMesh([hx,hy,hz], x0=[-hx.sum()/2.,-hy.sum()/2.,-hz.sum()/2.])
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model = Model.LogModel(mesh)
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x = np.linspace(-10,10,5)
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XYZ = Utils.ndgrid(x,np.r_[0],np.r_[0])
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rxList = EM.FDEM.RxListFDEM(XYZ, 'Ex')
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Tx0 = EM.FDEM.TxFDEM(np.r_[0.,0.,0.], 'VMD', 1e2, rxList)
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survey = EM.FDEM.SurveyFDEM([Tx0])
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prb = EM.FDEM.ProblemFDEM_b(model)
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prb.pair(survey)
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sig = 1e-1
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sigma = np.ones(mesh.nC)*sig
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sigma[mesh.gridCC[:,2] > 0] = 1e-8
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m = np.log(sigma)
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skin = 500*np.sqrt(1/(sig*Tx0.freq))
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print 'The skin depth is: %4.2f m' % skin
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prb.Solver = Utils.SolverUtils.DSolverWrap(sp.linalg.spsolve, factorize=False, checkAccuracy=True)
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u = prb.fields(m)
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plt.colorbar(mesh.plotImage(np.log10(np.abs(u[Tx0, 'b'].real)), 'Fz'))
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bfz = mesh.r(u[Tx0, 'b'],'F','Fz','M')
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x = np.linspace(-55,55,12)
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XYZ = Utils.ndgrid(x,np.r_[0],np.r_[0])
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P = mesh.getInterpolationMat(XYZ, 'Fz')
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an = EM.Utils.Ana.FEM.hzAnalyticDipoleF(x, Tx0.freq, sig)
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plt.figure(2)
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plt.plot(x,np.log10(np.abs(P*np.imag(u[Tx0, 'b']))))
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plt.plot(x,np.log10(np.abs(mu_0*np.imag(an))), 'r')
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plt.xlabel('Distance, m')
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plt.ylabel('Log10 Response imag($B_z$)')
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plt.legend(('Numeric','Analytic'))
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plt.title('Half Space Response for FDEM')
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plt.show()
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