首页 | 本学科首页   官方微博 | 高级检索  
     检索      

电导率分块均匀的瞬变电磁25维有限元数值模拟
引用本文:熊彬,罗延钟.电导率分块均匀的瞬变电磁25维有限元数值模拟[J].地球物理学报,2006,49(2):590-597.
作者姓名:熊彬  罗延钟
作者单位:1.中南大学信息物理工程学院, 410083 长沙 2 中国地质大学地球物理与空间信息学院, 430074 武汉
基金项目:国家自然科学基金项目(40344022),湖南省自然科学基金项目(Q5JJ30074)资助.
摘    要:在吸收并修正部分前人工作的基础上,给出了电导率分块均匀的瞬变电磁25维有限单元法正演算法. 在该算法中,(1)采用在矩形网格中进一步三角细化的剖分方式,同时考虑到矩形单元中心节点的性质,求解线性方程组前用高斯消元法消除矩形网格中心节点上的待求未知量,这样一方面较准确地模拟出任意二维复杂地电断面,另一方面又大大地节省了计算量;(2) 采用计算二次场的算法,事先仅需获得电场和磁场沿地电构造走向方向两个分量的一次场,故而不但计算精度较高,而且不明显增加计算量. 最后,对几例典型模型进行正演,并与解析解对比,验证了本文方法的有效性.

关 键 词:瞬变电磁  25维正演  有限单元法  电导率分块均匀  
文章编号:0001-5733(2006)02-0590-08
收稿时间:2005-01-17
修稿时间:2005-01-172005-11-08

Finite element modeling of 2.5-D TEM with block homogeneous conductivity
XIONG Bin,LUO Yan-Zhong.Finite element modeling of 2.5-D TEM with block homogeneous conductivity[J].Chinese Journal of Geophysics,2006,49(2):590-597.
Authors:XIONG Bin  LUO Yan-Zhong
Institution:1.School of Info_Physics and Geomatics Engineering, Central South University, Changsha 410083, China 2 Institute of Geophysics & Geomatics, China University of Geosciences, Wuhan 430074, China
Abstract:Based on absorption and modification of previous work, a numerical algorithm of the finite element method (FEM) for 2.5_D transient electromagnetic forward modeling with block homogeneous conductivity has been developed. Firstly, this method subdivides four triangular lattices by adding two diagonal lines in a rectangular cell, and then eliminates unknown variables to be calculated at the central node of the cell using the Gauss elimination before solving the system of linear equations. Thus, this method can be used not only to simulate accurately any complex 2_D geoelectric section, but also to produce a considerable reduction of computation costs. At the same time, the algorithm presented in this paper for the secondary field only requires to compute two primary field components of electric and magnetic fields along the strike of geoelectric structure beforehand, so it has relatively high computation precision and does not need much increase of calculation amount. Finally, some simple examples of electromagnetic fields produced by a central_loop source at air_earth interface are presented to illustrate the usefulness of the method.
Keywords:Transient electromagnetic  2  5-D forward modeling  FEM  Homogeneous  conductivity within each block
本文献已被 CNKI 维普 万方数据 等数据库收录!
点击此处可从《地球物理学报》浏览原始摘要信息
点击此处可从《地球物理学报》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号