电导率连续变化的三维电阻率测深有限元模拟  

A FINITE ELEMENT MODELING OF THREE-DIMENSIONAL RESISTIVITY SOUNDING WITH CONTINUOUS CONDUCTIVITY

作　　者：阮百尧[1] 熊彬[1] 

机构地区：[1]桂林工学院资源与环境工程系,桂林541004

出　　处：《地球物理学报》2002年第1期131-138,共8页Chinese Journal of Geophysics

基　　金：国家自然科学基金项目 ( 4 0 0 6 4 0 0 1 );教育部优秀青年教师基金项目;广西自然科学基金项目 (桂科自0 0 0 70 2 4 );广西培养新世纪学术基金;广西培养新世纪技术带头人专项资金资助项目

摘　　要：针对地下岩矿石的物性参数常常是连续变化的情况 ,给出了电导率分块连续变化的三维地电断面电阻率测深的有限元数值模拟方法 .首先列出了三维地电断面点源电场的变分问题 ;然后利用有限单元法解变分问题 ,采用六面体单元对研究区域进行剖分 ,对电导率及电位均用三线性函数进行插值 ;并对 2例模型进行了计算 ,将其结果与二维有限单元法的情况进行了对比 ,提高了精度 .Based on the fact of continuous variation of the subterranean rock-mineral parameters, a finite element modeling method of 3-D geoelectric section resistivity sounding with continuous variation of conductivity within each block is put forward in the paper. First, a variational equation is given for the electric field on a 3-D geoelectric section caused by a point source. Then, we divide the entire region into many hexahedron elements, and interpolate conductivity and electric potential with a trilinear function in each element. Finally, we solve the equation by finite element method and calculate several typical models to illustrate the validity of the method by comparing the results with those of 2-D finite element method.

关 键 词：电阻率测深 有限元方法 电导率分块连续 岩石 三维地电断面 电位 

分 类 号：P631.322[天文地球—地质矿产勘探]