一种新的二维电阻率模拟方法

A NEW METHOD FOR 2 DIMENSIONAL RESISTIVITY MODELING

目前，对地下介质作电阻率成像需要将研究区域网格化。本文以格林函数为数学工具导出了网格化地电模型二维问题的边界积分方程，该方程适合于电阻率成像。用边界单元法求解该方程可以得出空间电位分布，从而进行视电阻率模拟。计算与实验结果的对比表明，这种方法是正确、可行的。

At present, in order to image the resistivity of the subsurface, the interested area needs to be divided into grids. In this paper, by using the Green's function, the authors deduce a boundary integral equation(BIE) which satisfies the subsurface voltage under the condition of grid model of 2 D problem, and the BIE is suitable for resistivity tomography. Using the boundary element method (BEM) to solve the BIE, one can get the voltage distribution on and under the ground and calculate the apparent resistivity. Comparision between the calculation and experiment results show that our method is right and practical.