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IEEE Transactions on Antennas and Propagation
Volume 48 Number 10, October 2000

Table of Contents for this issue

Complete paper in PDF format

3-D Numerical Mode-Matching (NMM) Method for Resistivity Well-Logging Tools

Guo-Xin Fan, Senior Member, IEEE Qing Huo Liu, Senior Member, IEEE and Sean P. Blanchard

Page 1544.

Abstract:

A three-dimensional (3-D) numerical mode-matching (NMM) method is presented for Poisson's equation in general inhomogeneous media. It reduces the original 3-D problem into a series of two-dimensional (2-D) eigenvalue problems plus a one-dimensional (1-D) layered medium problem, which can be modeled efficiently by a recursion procedure. The algorithm is tested for several 3-D inhomogeneous media and an excellent agreement between the NMM and analytical solutions is obtained for all test cases. We demonstrate some typical applications of the 3-D NMM algorithm in resistivity well logging,including invasion zones of noncircular shape, vertical and horizontal fractures,and horizontal wells. The solution procedure proposed is directly applicable to wave propagation in 3-D inhomogeneous media.

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