三角单元部分电导率分块连续变化点源二维电场有限元数值模拟

2-D Electrical Modeling Due to a Current Point by FEM with Variation of Conductivity within Each Triangular Element

为了易于模拟地形和地电体 ,有限单元被设计为三角单元 .考虑到实际中岩石、矿物的物性参数均是变化的 ,单元内电导率被设计为双线性变化 .导出一种点源二维地电断面电位计算的有限元方法 .该法首先给出沿走向方向进行傅氏变换后的电位的变分问题 ,然后用有限元方法进行数值计算 ,最后通过傅氏反变换 。

To model arbitrarily shaped two dimensional topography and structures, triangular element grid was used in the finite element method (FEM). Since the field conductivity varies everywhere, the conductivity is designed to change bilinearly within each triangular element in our method,which is developed for modeling two dimensional electrical field due to a current point.In this method, the variation equation of electrical potential transformed by Fourier cosine is released firstly,then this variation equatton is solved by FEM and Fourier in verse transform.