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update constant in casing analytic to match whole-space dipole soln
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@@ -5,7 +5,8 @@ from simpegEM.Utils.EMUtils import k
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def getKc(freq,sigma,a,b,mu=mu_0,eps=epsilon_0):
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a = float(a)
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b = float(b)
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return 2./np.pi * np.sqrt(b / a) * np.exp(-1j*k(freq,sigma,mu,eps)*(b-a))
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# return 1./(2*np.pi) * np.sqrt(b / a) * np.exp(-1j*k(freq,sigma,mu,eps)*(b-a))
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return np.sqrt(b / a) * np.exp(-1j*k(freq,sigma,mu,eps)*(b-a))
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def _r2(xyz):
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return np.sum(xyz**2,1)
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@@ -1,6 +1,7 @@
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from SimPEG import Tests, Utils, np
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import simpegEM.Analytics.FDEMcasing as Casing
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import unittest
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from scipy.constants import mu_0
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n = 50.
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@@ -8,41 +9,42 @@ freq = 1.
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a = 5e-2
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b = a + 1e-2
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sigma = np.r_[10., 5.5e6, 1e-1]
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mu = mu_0*np.r_[1.,100.,1.]
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srcloc = np.r_[0., 0., 0.]
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xobs = np.random.rand(n)+10.
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yobs = np.zeros(n)
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zobs = np.random.randn(n)
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zobs = np.random.randn(n)
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plotit = False
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def CasingMagDipoleDeriv_r(x):
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obsloc = np.vstack([x, yobs, zobs]).T
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f = Casing._getCasingHertzMagDipole(srcloc,obsloc,freq,sigma,a,b)
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g = Utils.sdiag(Casing._getCasingHertzMagDipoleDeriv_r(srcloc,obsloc,freq,sigma,a,b))
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f = Casing._getCasingHertzMagDipole(srcloc,obsloc,freq,sigma,a,b,mu)
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g = Utils.sdiag(Casing._getCasingHertzMagDipoleDeriv_r(srcloc,obsloc,freq,sigma,a,b,mu))
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return f,g
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def CasingMagDipoleDeriv_z(z):
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obsloc = np.vstack([xobs, yobs, z]).T
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f = Casing._getCasingHertzMagDipole(srcloc,obsloc,freq,sigma,a,b)
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g = Utils.sdiag(Casing._getCasingHertzMagDipoleDeriv_z(srcloc,obsloc,freq,sigma,a,b))
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f = Casing._getCasingHertzMagDipole(srcloc,obsloc,freq,sigma,a,b,mu)
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g = Utils.sdiag(Casing._getCasingHertzMagDipoleDeriv_z(srcloc,obsloc,freq,sigma,a,b,mu))
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return f,g
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def CasingMagDipole2Deriv_z_r(x):
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obsloc = np.vstack([x, yobs, zobs]).T
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f = Casing._getCasingHertzMagDipoleDeriv_z(srcloc,obsloc,freq,sigma,a,b)
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g = Utils.sdiag(Casing._getCasingHertzMagDipole2Deriv_z_r(srcloc,obsloc,freq,sigma,a,b))
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f = Casing._getCasingHertzMagDipoleDeriv_z(srcloc,obsloc,freq,sigma,a,b,mu)
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g = Utils.sdiag(Casing._getCasingHertzMagDipole2Deriv_z_r(srcloc,obsloc,freq,sigma,a,b,mu))
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return f,g
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def CasingMagDipole2Deriv_z_z(z):
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obsloc = np.vstack([xobs, yobs, z]).T
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f = Casing._getCasingHertzMagDipoleDeriv_z(srcloc,obsloc,freq,sigma,a,b)
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g = Utils.sdiag(Casing._getCasingHertzMagDipole2Deriv_z_z(srcloc,obsloc,freq,sigma,a,b))
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f = Casing._getCasingHertzMagDipoleDeriv_z(srcloc,obsloc,freq,sigma,a,b,mu)
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g = Utils.sdiag(Casing._getCasingHertzMagDipole2Deriv_z_z(srcloc,obsloc,freq,sigma,a,b,mu))
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return f,g
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