Publications [#283816] of Qing H. Liu

Papers Published

1. Fan, GX; Liu, QH; Blanchard, SP, 3-D numerical mode-matching (NMM) method for resistivity well-logging tools, Ieee Transactions on Antennas and Propagation, vol. 48 no. 10 (October, 2000), pp. 1544-1552, Institute of Electrical and Electronics Engineers (IEEE), ISSN 0018-926X [doi]
   (last updated on 2023/08/08)

   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.