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文章阐述了用有限差分模拟计算三维稳定点电场的原理 ,提出了可以节约内存 ,提高运算速度的剖分网格、差分格式和超松弛迭代数值解的计算方法。并采用解析法计算点电源在均匀大地条件下产生的正常电位场 ,用有限差分法计算异常地电异常体引起的异常电位场 ,进而得到实际电位场 ,简化了三维地电场数值模拟的问题 ,并且有效地控制了模拟计算精度。
In this paper, the principle of calculating the electric field of three - dimensional stable point by finite difference simulation is expounded. The method of calculating the mesh, the difference scheme and the numerical solution of over - relaxation iteration is proposed, which can save the memory and increase the computing speed. The normal potential field generated by the point power supply under uniform earth condition is calculated by analytical method. The abnormal potential field caused by the abnormal geoelectric anomaly is calculated by the finite difference method, and then the actual potential field is obtained, which simplifies the numerical simulation of the three- And effectively control the simulation accuracy.