伪随机激电法的有限单元法数值模拟研究

Numerical simulation on the pseudo-random IP method with FEM

利用有限单元法和Cole-Cole模型对伪随机激电法进行数值模拟研究。首先简要介绍了伪随机激电法的基本原理,然后在忽略电磁效应的情况下,给出电场的边值问题和变分方程,将模型中大地和极化异常体的电阻率用Cole-Cole模型的参数替换,通过解方程最后得到模型节点上的复电位值。通过改变地电模型的参数,得到了不同参数下幅频率的模型相应曲线。模拟结果与实际情况符合,表明运用有限单元法模拟伪随机激电法中的参数是正确和适用的。

Using the finite element method,we modeling the pseudo-random IP sounding with Cole-Cole model .First of all,the author introduce the base theory of pseudo-random IP and then conclude the wave equation of electromagnetic complex voltage based on the concepts of Maxwell equation,that ignored the electromagnetic effect.With the generalized variational principle,we can get the equation of variational problem which is equal the equation of boundary value problem.If we instead the parameter of the model with the Cole-Cole model＆#39; s sounding,the relative parameter of pseudo-random IP under different model can be received.the results of the model show that the modeling result is correct with the actual situation,The examples show that this method is reasonable and correct.