【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．更多还原

【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.更多还原