| 用积分方程法模拟各向异性地层中三维电性异常体的电磁响应 |
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| 引用本文： | 陈桂波,汪宏年,姚敬金,杨守文.用积分方程法模拟各向异性地层中三维电性异常体的电磁响应[J].地球物理学报,2009,52(8):2174-2181. |
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| 作者姓名： | 陈桂波 汪宏年 姚敬金 杨守文 |
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| 作者单位： | 1.长春理工大学理学院，长春 130022;2.吉林大学物理学院，长春 130026;3.中国地质科学院地球物理地球化学勘察研究所，河北廊坊 065000 |
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| 基金项目： | 国家自然科学基金，中国地质科学院重点开放实验室专项基金 |
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| 摘 要： | 本文研究并建立了一种模拟各向异性地层中三维电性异常体电磁响应的积分方程算法.首先讨论了并矢Green函数及其相关积分的计算，将水平层状各向异性地层中的电场并矢Green函数分解成含有奇异项的直达波与非奇异的来自各个层界面的反射和透射波两个部分，再应用等效体积单元和表面积分技术对积分方程的奇异核进行离散化处理以便提高离散方程的精度.然后为了节省计算机内存以及计算时间，引入基于Krylov子空间的迭代算法求解积分方程的离散化矩阵方程.最后通过与现有文献中的结果作对比从而检验了所述算法的有效性，并结合具体算例考察分析了地层的各向异性对三维电性异常体电磁响应的影响特征和规律.
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| 关 键 词： | 积分方程 各向异性 奇异核 电磁响应 |
| 收稿时间： | 2008-6-5 |
| 修稿时间： | 2009-7-14 |
Modeling of electromagnetic responses of 3-D electrical anomalous body in a layered anisotropic earth using integral equations |
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| CHEN Gui-Bo,WANG Hong-Nian,YAO Jing-Jin,YANG Shou-Wen.Modeling of electromagnetic responses of 3-D electrical anomalous body in a layered anisotropic earth using integral equations[J].Chinese Journal of Geophysics,2009,52(8):2174-2181. |
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| Authors: | CHEN Gui-Bo WANG Hong-Nian YAO Jing-Jin YANG Shou-Wen |
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| Institution: | 1.School of Physics, Changchun University of Science and Technology, Changchun 130022, China;2.School of Physics, Jilin University, Changchun 130026, China;3.Institute of Geophysical and Geochemical Exploration, Geological Academe of China, Hebei Langfang 065000, China |
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| Abstract: | In this paper, we advance a numerical simulation of electromagnetic responses of three-dimensional(3-D) electrical anomalous body in a layered anisotropic earth using integral equations. First, we decompose the dyadic Green′s functions in a horizontal layered anisotropic earth into the singular primary term directly from the source and another non-singular waves reflected and transmitted from the interfaces. Then, iterative method is introduced to reduce computer memory and improve computational efficiency based on Krylov subspace. Finally, we validate the algorithm by comparison with results from former workers and investigate the effects of anisotropy on the electromagnetic responses of 3-D electrical anomalous body in a layered anisotropic earth through numerical models. |
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| Keywords: | Integral equation Anisotropy Singular kernel Electromagnetic responses |
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