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  • 阮百尧.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[J].广西科学,2001,8(1):1-3.    [点击复制]
  • Ruan Baiyao.2-D Electrical Modeling Due to a Current Point by FEM with Variation of Conductivity within Each Triangular Element[J].Guangxi Sciences,2001,8(1):1-3.   [点击复制]
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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
阮百尧
0
(桂林工学院资源与环境工程系, 桂林市建干路12号 541004)
摘要:
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,求得空间域电场.
关键词:  点源二维电场  有限元方法  电导率分块连续
DOI:
投稿时间:2000-08-11
基金项目:高等学校骨干教师资助计划项目、广西自然科学基金项目(桂科自0007024)、广西培养新世纪学术和技术带头人专项资金资助项目部分研究成果。
2-D Electrical Modeling Due to a Current Point by FEM with Variation of Conductivity within Each Triangular Element
Ruan Baiyao
(Dept. of Resources and Environment Engi., Guilin Institute of Technology, 12 Jianganlu, Guilin, Guangxi, 541004, China)
Abstract:
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.
Key words:  two dimensional electric modeling due to a current point  finite element method  conductivity changing within each triangular element

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