频率域激电有限元数值模拟  

Numerical simulation of frequency-domain IP with FEM

作　　者：杨晓弘[1] 何继善[1] 童孝忠[1] 

机构地区：[1]中南大学信息物理工程学院,长沙410083

出　　处：《地球物理学进展》2008年第4期1186-1189,共4页Progress in Geophysics

摘　　要：在三维地电条件下,应用有限元方法模拟了不同频率谐变电流激发下的地表激电响应,首先根据麦克斯韦方程推导出谐变电磁场复电位的波动方程,利用广义变分原理得到复电位波动方程及其边界条件下边值问题等价的变分问题,尔后将区域剖分离散化,在单元中进行插值,得到一组线性方程组,通过合理存储刚度矩阵、解方程组,得到各个结点上的复电位值,最后得到表征频率域激电响应的幅频率等参数.模拟结果表明该方法合理正确.Using the finite element method,we make modeling of the SIP sounding with differentfrequencies on a 3-D geoelectric model First, this paper derives the wave equation of electromagnetic complex voltage based on the concepts of Maxwell equation. With the generalized variational principle, we get the equation of the variational problem which is equivalent to the equation of the boundary value problem, Then we analyze the model with hexahedron ele- ments on the 3-D geoelectric model, interpolation in the element and drawa set of linear equations. Through solving the equation,we get the complex voltage of each point in the model. Finally we obtain the parameter of Fs on SIP which show the degree of polarization. The examples show that this method is reasonable andcorrect.

关 键 词：激发极化法 有限单元法 广义变分 幅频率 

分 类 号：P3[天文地球—地球物理学]