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rowanc1
39 lines
965 B
Python
39 lines
965 B
Python
import numpy as np
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from scipy.constants import mu_0, pi
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from scipy.special import erf
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def hzAnalyticDipoleF(r, freq, sigma, secondary=True):
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"""
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4.56 in Ward and Hohmann
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.. plot::
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import matplotlib.pyplot as plt
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import simpegEM as EM
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freq = np.logspace(-1, 6, 61)
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test = EM.Utils.Ana.FEM.hzAnalyticDipoleF(100, freq, 0.001, secondary=False)
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plt.loglog(freq, abs(test.real))
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plt.loglog(freq, abs(test.imag))
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plt.title('Response at $r$=100m')
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plt.xlabel('Frequency')
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plt.ylabel('Response')
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plt.legend(('real','imag'))
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plt.show()
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"""
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r = np.abs(r)
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k = np.sqrt(-1j*2.*np.pi*freq*mu_0*sigma)
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m = 1
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front = m / (2. * np.pi * (k**2) * (r**5) )
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back = 9 - ( 9 + 9j * k * r - 4 * (k**2) * (r**2) - 1j * (k**3) * (r**3)) * np.exp(-1j*k*r)
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hz = front*back
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if secondary:
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hp =-1/(4*np.pi*r**3)
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return hz-hp
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return hz
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