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基于非结构化风格的三维大地电磁矢量有限无模拟
引用本文:刘长生,任政勇,汤井田,严艳. 基于非结构化风格的三维大地电磁矢量有限无模拟[J]. 应用地球物理, 2008, 5(3): 170-180. DOI: 10.1007/s11770-008-0024-4
作者姓名:刘长生  任政勇  汤井田  严艳
作者单位:中南大学信息物理工程学院,中南大学高等教育研究所
基金项目:国家高技术研究发展计划(863计划)
摘    要:Three-dimensional forward modeling magnetotellurics (MT) problems. We present a is a challenge for geometrically complex new edge-based finite-element algorithm using an unstructured mesh for accurately and efficiently simulating 3D MT responses. The electric field curl-curl equation in the frequency domain was used to deduce the H (curl) variation weak form of the MT forward problem, the Galerkin rule was used to derive a linear finite-element equation on the linear-edge tetrahedroid space, and, finally, a BI-CGSTAB solver was used to estimate the unknown electric fields. A local mesh refinement technique in the neighbor of the measuring MT stations was used to greatly improve the accuracies of the numerical solutions. Four synthetic models validated the powerful performance of our algorithms. We believe that our method will effectively contribute to processing more complex MT studies.

关 键 词:大地电磁建模  未组织网目  有限元算法  电场

Three-dimensional magnetotellurics modeling using edgebased finite-element unstructured meshes
Changsheng Liu,Zhengyong Ren,Jingtian Tang,Yan Yan. Three-dimensional magnetotellurics modeling using edgebased finite-element unstructured meshes[J]. Applied Geophysics, 2008, 5(3): 170-180. DOI: 10.1007/s11770-008-0024-4
Authors:Changsheng Liu  Zhengyong Ren  Jingtian Tang  Yan Yan
Affiliation:(1) School of Info-physics and Geometrics Engineering, Central South University, Changsha, 410083, China;(2) Changsha Aeronautical Vocational and Technical College, Changsha, 410124, China;(3) Institute of Geophysics, ETH-Swiss Federal Institute of Technology, Zurich, 8092, Switzerland;(4) Institute of Higher Education, Central South University, Changsha, 410083, China
Abstract:Three-dimensional forward modeling is a challenge for geometrically complex magnetotellurics(MT)problems.We present a new edge-based finite-element algorithm using an unstructured mesh for accurately and efficiently simulating 3D MT responses.The electric field curl-curl equation in the frequency domain was used to deduce the H(curl) variation weak form of the MT forward problem,the Galerkin rule was used to derive a linear finite-element equation on the linear-edge tetrahedroid space,and,finally,a BI-CGSTAB solver was used to estimate the unknown electric fields.A local mesh refinement technique in the neighbor of the measuring MT stations was used to greatly improve the accuracies of the numerical solutions.Four synthetic models validated the powerful performance of our algorithms.We believe that our method will effectively contribute to processing more complex MT studies.
Keywords:Magnetotelluric modeling  edge-based finite-element  unstructured mesh  local mesh refinement
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