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Highly efficient numerical modeling for static-steady fields in underground inhomogeneous media

机译：地下非均质介质中静稳定场的高效数值模拟

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A systematic algorithm is set up with vertical numerical mode-matching method to find the Green's function of static-steady field in the 2-D axial symmetric inhomogeneous media. The formulation is given totally in matrix forms, which could be treatedeasily with microcomputers. Furthermore, no numerical integration is needed throughout the simulation process. The efficiency of the algorithm can be about 100 times higher that of the 2-D finite element method, The vertical numerical mode-matching technique is proposed here as the prolongation and development of the radial one by Chew et al. Pai has once applied it to the electromagnetic wave logging problems. Gianzero has given the formulation in two-layered media. The general formulation presented in this note can suit the static-steady problems in arbitrary 2-D axial symmetric inhomogeneous media, which could be used to model the complex underground environments in well logging.
机译：建立了一种采用垂直数值模式匹配方法的系统算法，以求二维轴对称非均匀介质中静态稳态场的格林函数。该制剂完全以基质形式给出，可以用微型计算机轻松处理。此外，在整个仿真过程中都不需要数值积分。该算法的效率大约是二维有限元方法的100倍。Chew等人在此提出了垂直数值模式匹配技术作为径向模型的扩展和发展。 Pai曾经将其应用于电磁波测井问题。 Gianzero在两层介质中给出了配方。本注释中介绍的一般公式可适合于任意二维轴向对称非均质介质中的静稳定问题，这些问题可用于对测井中复杂的地下环境进行建模。

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