桂林理工大学学报2015,Vol.35Issue(3):423-430,8.DOI:10.3969/j.issn.1674-9057.2015.03.001
基于非结构化网格的人工源频率域三维电磁场数值模拟
3D controlled-source electromagnetic response based on unstructured mesh
摘要
Abstract
To generate completely unstructured mesh by COMSOL, a finite-element method can be used to solve controlled-source electromagnetic induction problems in heterogeneous electrically conducting media .In order to avoid singularities introduced by sources, a secondary potential formulation is derived based on the Cou-lomb gauge.Then Galerkin method is applied to differential equations to obtain finite-element linear equations. From the memory and the computational requirements, an efficient pre-conditioner complex Krylov subspace method is used for solving the resulting large sparse linear system of equations.The main aspects of this work in-clude the implementation of unstructured mesh generator with high-quality local mesh refinement.In the Cou-lomb gauge condition in combination with proper boundary conditions the uniqueness of the vector potential is guaranteed, in differentiating the FE-computed potentials using the moving least-squares weighting interpolant scheme.Finally, results are compared with other researches to check the accuracy of the method.The method is general and can also be adapted for CSEM modelling in borehole, marine, and environment geophysics in het-erogeneous media.关键词
可控源电磁法/非结构化网格/Coulomb规范/三维正演/有限单元法Key words
controlled-source electromagnetics(CSEM)/unstructured mesh/Coulomb gauge/3D forward/fi-nite element method( FE)分类
天文与地球科学引用本文复制引用
熊彬,蔡红柱,罗天涯,李长伟,丁彦礼,赵建国..基于非结构化网格的人工源频率域三维电磁场数值模拟[J].桂林理工大学学报,2015,35(3):423-430,8.基金项目
国家自然科学基金项目 ( 40974077 ()
41164004 ()
41274138) ()
广西自然科学基金项目 ( 2011GXNSFA018003 ()
2013GXNSFAA019277) ()
广西 "八桂学者"、 "漓江学者" 专项经费项目 ()