High-Performance Three-Dimensional Electromagnetic Modelling Using Modified Neumann Series. Anisotropic Earth

O. Pankratov, A. Kuvshinov, D. Avdeev
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引用次数: 43

Abstract

We have developed a modified Neumann series (MNS) technique to solve Maxwell's equations for three-dimensional anisotropic earth. We assume that both conductivity and dielectric permittivity are 3 × 3 matrices, elements of which are complex-valued functions of space coordinates and frequency, whereas the magnetic permeability is symmetric 3 × 3 matrix with elements being real-valued functions of depth. Both conduction and displacement currents are taken into account. In order to derive the MNS solution, we impose the positiveness condition of Joule losses inside anisotropic earth. The MNS solution so obtained is valid for any frequency range and for arbitrary three-dimensional anisotropic earth.
高性能三维电磁建模使用改进的诺伊曼系列。各向异性土
本文提出了一种改进的诺伊曼级数(MNS)方法来求解三维各向异性地球的麦克斯韦方程组。我们假设电导率和介电常数都是3 × 3矩阵,其元素是空间坐标和频率的复值函数,而磁导率是对称的3 × 3矩阵,其元素是深度的实值函数。同时考虑了传导电流和位移电流。为了推导出MNS解,我们在各向异性土中引入了焦耳损耗的正条件。所得到的MNS解对任何频率范围和任意三维各向异性大地都是有效的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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