2.5维问题电阻率正演的新方法

来源期刊：中南大学学报(自然科学版)1997年第4期

论文作者：毛先进 鲍光淑

文章页码：307 - 310

关键词：电阻率； 正演方法； 任意电性分布； 2．5维

Key words：resistivity； forward modelling method； arbitrary conductivity distribution； 2. 5-dimension

摘    要：利用格林函数导出了2．5维问题，以研究区域网格化中任意电性分布条件下空间电位所满足的边界积分方程．用边界元法解该方程求得地表和地下的电位分布，从而进行视电阻率模拟．运用该方法得出的计算结果与前人所作的数值模拟和实验结果进行对比表明，作者提出的方法克服了有限元法和α－中心法的许多缺陷，将其用于电阻率成像可大大提高成像质量，扩大电阻率成像技术的实用范围．

Abstract: At present, to image the resistivity of the subsurface, the interested area is needed to be divided into some grids. In this paper, by using the Green's function, the authors deduce a Boundary Integral Equation (BIE) in which the voltage on the subsurface satisfies the condition of arbitrary conductivity distribution in 2. 5-Dimensional problem. Using Boundary Element Method (BEM) to solve the BIE, one can get the voltage distribution on and under the ground, and calculate the apparent resistivity. The comparison between the calculation results got by our method and the experiment as well as theoretical calculation results got by other reserachers using other methods shows that our method is right and practical. The further research shows that our method overcomes many difficulties of finite-element method and α-centers method,and can significantly improve the quality of resistivity tomography, expand the practical extension of resistivity tomography.