基于有限单元法的三维地电断面电阻率反演

来源期刊：中南大学学报(自然科学版)2004年第2期

论文作者：黄俊革 阮百尧 鲍光淑

文章页码：295 - 299

关键词：三维地电断面;电阻率;最小二乘法;反演

Key words：three dimensional geo-electric section; resistivity; least-square method; inversion

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。

Abstract: 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 comparedwith 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.