稳定地电场三维有限差分正演模拟

3D finite difference forward modeling of stable geoelectrical field

本文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 ;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。

The paper expatiates on the principle of using finite difference method to simulate 3 dimensional stable point electrical source field ,brings forward grid dissection differential format and super?relaxation iterative evaluation method which can save EMS memory and improve operation speed. The analytical method is ineroduced to compute the natural electric field of spot electricity source formed under the condition of homosphere. The abnormity potentio?field which is arosen by the geoelectric abnormity body is computed by finite difference method to achieve the practicality simulating potentio?field, This simplify the question of simulating 3￣dimensional geoelectric field and the computing precision can be controlled effectively.