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边界元法(BEM)作为一种新的有突出优点的数值计算方法,正在不断地开辟新的应用领域。本文通过给出黄土洞穴问题的三维稳定电流场的定解问题,利用格林公式导出边界积分方程。并将其计算结果与勒让德(Legendre)级数解进行对比,评价该方法的计算精度。同时,运用BEM 大量地计算了各种不同参数的视电阻率(p_s)曲线。从而对电阻率法的联合剖面装置参数进行了优选。
As a new numerical method with outstanding advantages, the Boundary Element Method (BEM) is constantly opening up new fields of application. In this paper, the definite solution of the three-dimensional stable current field of the loess cave problem is given, and the boundary integral equation is derived by using the Green’s formula. The calculation results are compared with the Legendre series solution, and the calculation accuracy of the method is evaluated. At the same time, the apparent resistivity (p_s) curves of various parameters were calculated using BEM. Therefore, the joint profile device parameters of the resistivity method have been optimized.