频率域激发极化法有限元数值模拟

在频率较低和忽略电磁效应的情况下,利用有限单元方法和Cole-Cole模型对频率域激发极化法进行数值模拟.首先在三维地电条件下,给出电场的边值问题和变分问题,将Cole-Cole模型的频率响应引入到地电模型中,运用有限单元法对模型进行单元剖分、插值、积分和总体合成等,通过解方程最后得到表征频率域极化强度的参数幅频率.通过改变地电模型的参数,得到了不同的幅频率响应曲线.模拟结果与实际情况符合,表明该方法是正确和适用的.

Numerical Simulation of Frequency-Domain IP with FEM

On low frequency and ignoring the EM effect,the finite element method and the Cole-Cole model were used to take numerical simulation for IP response in frequency domain.Under the 3-D condition,the electrical field boundary value problems and the variational problems of were given,the frequency response of Cole-Cole model was introduced into geoelectric model,the finite element method was used for element subdivision,interpolation,integration and general synthesis of the model,and the parameter of IP-fs(breadth frequencies) represented the polarization strength in frequency domain was obtained by solving the equation.The different response curves of fs were obtained by changing the parameters of the geoelectric model,and the simulation results were consistent with the real results,indicating the method is correct and applicable.