基于有限单元法的三维地电断面电阻率反演  

Resistivity inversion on 3-D section based on FEM

作　　者：黄俊革 阮百尧[2] 鲍光淑[1] 

机构地区：[1]中南大学信息物理学院,湖南长沙410083 [2]桂林工学院资源与环境工程系,广西桂林541004

出　　处：《中南大学学报（自然科学版）》2004年第2期295-299,共5页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(40064001);广西自然科学基金资助项目(桂科自0007024)

摘　　要：在三维电阻率的有限单元正演模拟中,简化边界条件以减少计算时间,推导了用异常电位法计算偏导数矩阵的方法,克服了总电位法中的电源点附近节点电位模拟误差的影响,使偏导数计算精度大幅度提高;在最小二乘反演中,加入体积因子以解决多解性问题,并提高了反演精度;通过对典型模型的试算,反演结果与真实模型较吻合。Simplifying the boundary condition in 3-D resistivity modeling based on the finite element method to decrease calculation time, 3-D resistivity inversion are deduced by the method of finite element, the partial derivatives by anormalous potential method is got, which can reduce the influence of power compared with total potential method. Using volume-gene in least-squares can ensure stability of iterative process and improve precision of inversion. The typical model′s inversional results is coincided with true model′s.

关 键 词：有限单元法 三维地电断面 电阻率 最小二乘法 反演 异常电位法 

分 类 号：P631.322[天文地球—地质矿产勘探]