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本文用边界元法的常数元解法与线性元解法,计算了复杂二维地电断面上中间梯度法视电阻率畸变值ρ_s/ρ_1,并相应地进行了物理模拟。该法是以场所满足的控制方程为基础,根据加权剩余法建立边界积分方程。然后,在电性连续体的边界上划分单元,进行数值求解的一种新的计算方法。数值计算与物理模拟结果对比相一致表明:边界元法是研究电法勘探复杂场问题的一种经济有效的数值计算方法。边界元法具有可使所求解的电法位场问题的空间维数降低,输入数据少、计算速度快、工作效率高等优点。
In this paper, by means of the constant element method and the linear element method of the boundary element method, the apparent resistivity ρ_s / ρ_1 of the intermediate gradient method is calculated and the physical simulation is carried out accordingly. The method is based on the control equations satisfied by the place, and establishes the boundary integral equation according to the weighted residual method. Then, the unit is divided on the boundary of electrical continuity, and a new calculation method of numerical solution is given. Comparing the numerical calculation with the physical simulation results, it is shown that the boundary element method is a cost-effective numerical method to study the complex field problem of electrical prospecting. Boundary element method has the advantages of reduced space dimension, less input data, faster calculation speed and higher work efficiency which can solve the problem of the electric potential field solved.