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电导率连续变化的瞬变电磁2.5维正演

发表时间:2009-05-15  浏览量:1523  下载量:553
全部作者: 熊彬
作者单位: 中南大学信息物理工程学院
摘 要: 提出一种电导率呈分块连续变化时的瞬变电磁2.5维有限元正演计算方法。首先由麦克斯韦方程组出发,通过拉氏变换和傅里叶变换,得到关于沿构造走向的二阶对偶微分方程。然后利用Galerkin方法,由耦合微分方程得到有限元线性方程组,进而获得关于瞬变电磁场2.5维的数值解。正演计算的有限单元网格中电导率参数呈双线性变化,而不是均匀值。此外,总场被分解成背景场和二次场:背景场用解析方法求解,二次场用数值方法进行计算。最后,给出了几例典型地电断面模型上的瞬变电磁2.5维响应曲线。
关 键 词: 地球探测与信息技术;瞬变电磁法;2.5维正演;有限单元法;电导率分块连续
Title: 2.5-D transient electromagnetic forward modeling with block linear conductivity
Author: XIONG Bin
Organization: School of Info-Physics and Geomatics Engineering, Central South University
Abstract: This paper presented a 2�5-D finite-element transient electromagnetic forward modeling method with block linear conductivity. The Maxwell equations were firstly transformed into the Laplace and Fourier domains to obtain second-order coupled differential equations. The Galerkin method was used to derive the finite-element equations from the coupled differential equations, thereby obtaining the 2�5-D finite-element transient electromagnetic solutions. The conductivity parameter variation in the finite-element unit mesh was not uniform but bilinear. In addition, the total electromagnetic field was separated into a background field and a secondary field. The background field was solved by use of analytical method and the secondary field was computed by use of numerical method. Finally, the TEM 2.5-D responses of several typical geoelectric models were presented.
Key words: geodetection and information technology;transient electromagnetic method; 2�5-D forward; finite element method; block linear conductivity
发表期数: 2009年5月第9期
引用格式: 熊彬. 电导率连续变化的瞬变电磁2.5维正演[J]. 中国科技论文在线精品论文,2009,2(9):893-899.
 
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