Calculation of Sommerfeld integrals for conductive media at low frequencies

A method for accurately evaluating the Sommerfeld integral for conductive media at low frequencies that is commonly encountered in geophysics is presented. The motivation is that when we subtract an asymptotic function to the integrand, the new integral will converge much faster than the original So...

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Bibliographic Details
Published inIEEE iWEM2011 pp. 130 - 134
Main Authors Yingkang Wei, Holter, B., Simonsen, I., Kuhnle, J., Husby, K., Norum, L.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2011
Subjects
Current distribution
Extrapolation
Geophysics
Integral equations
Laplace equations
Mathematical model
Media
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Summary:A method for accurately evaluating the Sommerfeld integral for conductive media at low frequencies that is commonly encountered in geophysics is presented. The motivation is that when we subtract an asymptotic function to the integrand, the new integral will converge much faster than the original Sommerfeld integral, which can be computed numerically while the asymptotic function can be integrated analytically by a Laplace transform. Numerical results that quantify the performance of the proposed method are presented.
ISBN:9781612844626
1612844626
DOI:10.1109/iWEM.2011.6021473