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油藏工程中通常采用的区域性数值模拟方法在当边界条件较为复杂时，实际应用遇到很大的困难。为解决这一问题，推导出稳定渗流Ｌａｐｌａｃｅ方程和Ｐｏｉｓｓｏｎ方程的边界元数模解法；给出了计算框图，用示例证明了该方法的正确性。由示例分析可知，由于边界元数模只需对研究区域的边界进行网格剖分，具有降维、计算速度快、精度高以及求解内点方便等特点。
Regional numerical simulation methods commonly used in reservoir engineering are encountering great difficulties in practical application when the boundary conditions are complicated. In order to solve this problem, the boundary element solution of stable seepage Laplace equation and Poisson equation is deduced. The calculation block diagram is given, and the correctness of the method is proved by an example. It can be seen from the example analysis that since the boundary element model only needs to mesh the boundaries of the study area, it has the characteristics of dimensionality reduction, high computing speed, high precision and convenient solution of interior points.