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Proceedings Paper

Novel inverse algorithm for borehole induction measurements using a spectral hybrid EBA forward method
Author(s): Qing Huo Liu; Zhong Qing Zhang
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Paper Abstract

We invert for the axisymmetric conductivity distribution from borehole electromagnetic induction measurements using a two-step linear inversion method based on a fast Fourier and Hankel transform enhanced extended Born approximation. In this method, the inverse problem is first cast as an under- determined linear least-norm problem for the induced electric current density; from the solution of this induced current density, the unknown conductivity distribution is then obtained by solving an over-determined linear problem using the newly developed, fast Fourier and Hankel transform enhanced extended Born approximation. Numerical results show that this inverse method is applicable to a very high conductivity contrast. It is a natural extension of the original two-step linear inversion method of Torres-Verdin and Habashy to axisymmetric media. In the first step, the CPU time costs O(N2). In the second step, the CPU time costs O(N log2 N) where N is the number of unknowns. Because of the fast Fourier and Hankel transform algorithm, this inverse method is actually more efficient than the conventional, brute-force first-order Born approximation.

Paper Details

Date Published: 6 July 2000
PDF: 12 pages
Proc. SPIE 4129, Subsurface Sensing Technologies and Applications II, (6 July 2000); doi: 10.1117/12.390641
Show Author Affiliations
Qing Huo Liu, Duke Univ. (United States)
Zhong Qing Zhang, Duke Univ. (United States)


Published in SPIE Proceedings Vol. 4129:
Subsurface Sensing Technologies and Applications II
Cam Nguyen, Editor(s)

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