【摘要】 通过简化无穷远边界上的边界条件 ,给出了一种齐次边界下的有限单元数值模拟方法 ;用这种方法求解三维电场的数值解 ,可以大大提高计算速度 ,通过适当选取边界的距离 ,能够保证计算精度 .分别以层状大地和三维地电断面为例与精确解和有限单元法的非齐次边界的解进行对比 ,结果显示 ,该方法正确、可行 ,计算相对误差小于 1 % .更多还原

【Abstract】 This paper first presents the boundary value and variational equation on 3-D geoelectic section anomaly potential. Then, a finite element mothed under quantic-boundary condition is given by simplifying the boundary-condition on infinite bondary. Using this mothed of modeling the 3-D geoelectric section can improve the speed of calculation. The results of the forward on layered earth and 3-D geoelectric section, by choosing proper length of boundary, show that this method, contrasted with exact solution and FEM, is correct and feasible. The maximal relative error is less than 1%.更多还原