| 复杂地形条件下四面体剖分电阻率三维有限元数值模拟 |
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| 引用本文： | 吕玉增,阮百尧. 复杂地形条件下四面体剖分电阻率三维有限元数值模拟[J]. 地球物理学进展, 2006, 21(4): 1302-1308 |
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| 作者姓名： | 吕玉增 阮百尧 |
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| 作者单位： | 中南大学信息物理工程学院,长沙,410083;桂林工学院资源与环境工程系,桂林,541004;桂林工学院资源与环境工程系,桂林,541004 |
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| 基金项目： | 广西科技开发项目(桂科攻0428006-17)，广西教育厅科技开发项目(200507044)联合资助 |
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| 摘 要： | 地形起伏对电阻率影响非常大，复杂地形条件下的电阻率异常解释一直受到很多的关注.本文提出了一种四面体网格交叉剖分方法，剖分的网格相互交错，使剖分的网格具有多样性，能较好地模拟复杂地形情况下的地电模型.同时，从点电源场满足的方程出发，本文推导了三维复杂地形条件下有限元数值模拟算法，并编制了计算程序.算例表明，本方法行之有效，计算精度高.
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| 关 键 词： | 复杂地形 四面体网格 交叉剖分 三维 有限元 |
| 文章编号： | 1004-2903（2006）04-1302-07 |
| 收稿时间： | 2005-12-10 |
| 修稿时间： | 2006-04-20 |
3-D resistivity FEM numerical modeling based on tetrahedral element division under complicated terrain |
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| LU Yu-zeng,RUAN Bai-yao. 3-D resistivity FEM numerical modeling based on tetrahedral element division under complicated terrain[J]. Progress in Geophysics, 2006, 21(4): 1302-1308 |
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| Authors: | LU Yu-zeng RUAN Bai-yao |
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| Affiliation: | 1. Central South University, Changsha 410083,China; 2. Guilin University of Technology, Guilin 541004,China |
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| Abstract: | Undulate terrain causes the underground electric field great change.Resistivity abnormal interpretation under complicated terrain is always attentive.This paper puts forward a cross-division technique based on tetrahedral unit.The divided tetrahedral grids are interwoven each other.Therefore,these alternate variational grids can model all kinds of complicated terrain and geoelectric bodies preferably.Furthermore,3-D FEM(Finite Element Method) algorithm based on the division of tetrahedral grids is deduced by the equations of point electrical source field.Lastly,several examples show this method is effective and has high accuracy. |
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| Keywords: | complicated terrain tetrahedral grid cross-division 3-dimension Finite Element Method(FEM) |
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