| Modeling the 3D Terrain Effect on MT by the Boundary Element Method |
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| 作者姓名： | 阮百尧 徐世浙 徐志锋 |
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| 作者单位： | [1]Department of Resources ＆ Environmental Engineering, Guilin University of Technology, Guilin ,541004, China [2]Department of Geosciences , Zhejiang University, Hangzhou 310027, China |
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| 基金项目： | This paper is supported by the National Natural Science Foundation ofChina (No .40344002) . |
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| 摘 要： | By using the numerical method to model the ter-rain effect on the magnetotelluric field,few resultshave been obtained. The finite element method(FEM) was used by Chouteau and Bouchard (1988)and Wannamaker et al .(1986) ,andthe boundary el-ement method (BEM) was used by Xu and Zhou(1997) and Xu (1995) to model 2Dtopographyinflu-ences on magnetotelluric surveys . The BEM methodwas also used to model the 3Dtopographic effect onmagnetotelluric deep sounding (Xu et al .,1997 ;Xu,1995) .In t…
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| 关 键 词： | 三维地形 边界元素法 数值模型 地形测量 |
| 收稿时间： | 2005-11-08 |
| 修稿时间： | 2006-03-12 |
Modeling the 3D Terrain Effect on MT by the Boundary Element Method |
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| Ruan Baiyao,Xu Shizhe,Xu Zhifeng.Modeling the 3D Terrain Effect on MT by the Boundary Element Method[J].Journal of China University of Geosciences,2006,17(2):163-167. |
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| Authors: | Ruan Baiyao Xu Shizhe Xu Zhifeng |
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| Institution: | 1. SCCER-SoE, ETH Zurich, Zurich, Switzerland;2. Department of Geoscience, Aarhus University, Aarhus, Denmark;3. Department of Civil Engineering, Technical University of Denmark, Lyngby, Denmark;4. Center for Permafrost (CENPERM), Department of Geosciences and Natural Resource Management, University of Copenhagen, Øster Voldgade 10, DK-1350 Copenhagen K., Denmark;1. Leibniz Institute for Applied Geophysics, Hannover, Germany;2. Federal Institute for Geosciences and Resources, Berlin, Germany;1. State Key Laboratory of Coal Resources and Safe Mining, China University of Mining & Technology, Beijing 100083, China;2. Key Laboratory of Mine Disaster Prevention and Control, North China Institute of Science and Technology, Yanjiao, Beijing 101601, China;3. School of Electrical and Electronics Engineering, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China;1. Universidade de São Paulo (USP), Instituto de Astronomia, Geofísica e Ciências Atmosféricas (IAG), Departamento de Geofísica, Rua do Matão, 1226, Butantã 05508-090, São Paulo, Brazil;2. Instituto Don Luiz (IDL), Faculdade de Ciências, Universidade de Lisboa, 1749-016 Lisboa, Portugal |
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| Abstract: | A numerical method is put forward in this paper, using the boundary element method (BEM) to model 3D terrain effects on magnetotelluric (MT) surveys. Using vector integral theory and electromagnetic field boundary conditions, the boundary problem of two electromagnetic fields in the upper half space (air) and lower half space (earth medium) was transformed into two vector integral equations just related to the topography: one magnetic equation for computing the magnetic field and the other electrical equation for computing the electrical field. The topography integral is decomposed into a series of integrals in a triangle element. For the integral in a triangle element, we suppose that the electromagnetic field in it is the stack of the electromagnetic field in the homogeneous earth and the topography response which is a constant; so the computation becomes simple, convenient and highly accurate. By decomposition and computation, each vector integral equation can be calculated by solving three linear equations that are related to the three Cartesian directions. The matrix of these linear equations is diagonally dominant and can be solved using the Symmetric Successive Over-Relaxation (SSOR) method. The apparent resistivity curve of MT on two 3D terrains calculated by BEM is shown in this paper. |
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| Keywords: | 3D terrain MT boundary element method numerical modeling |
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