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用有限单元法进行了电导率分块均匀的三维点源电场电阻率测深的数值模拟 .首先给出了三维构造中点源电场的边值问题、变分问题 ;然后 ,用有限单元法求解变分问题 ,将区域剖分成六面体单元 ,在单元中进行三线性函数插值 ,将变分方程化为线性代数方程组 ;最后解方程组 ,得各节点的电位值 ,进而计算出地表的视电阻率 .对几例较典型的地电模型进行试算 ,结果表明本方法是行之有效的
The finite element method is used to simulate the three-dimensional electric field resistivity sounding of uniform electric conductivity block.Firstly, the boundary value problem and variational problem of the point source electric field in three-dimensional structure are given. Then, the finite element method Variational problem, the region is divided into hexahedron elements, the unit of three linear function interpolation, the variational equation into linear algebraic equations; Finally, the system of equations, the potential value of each node, and then calculate the surface apparent resistance Rate.A few typical trial of the geoelectric model, the results show that the method is effective