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利用广义等效介质激电(GEMTIP)模型,本文提出了一种频率域中2.5维复电阻率有限体积正演计算方法.首先对GEMTIP的理论模型进行介绍,分析了不同参数影响下的视复电阻率响应变化特征.而后,详尽地推导了有限体积各控制容积所满足的离散方程式,利用预处理的广义极小残差算法(GMRES)求解线性方程组.通过与两相层状大地解析解进行对比,验证了数值算法的正确性.结合实际地质情况,构建若干典型多相态复合地电模型及简化斑岩型矿床模型进行试算,结果表明,GEMTIP模型是对Cole-Cole模型的一种扩展,其相关参量表征明确;在一定频段内计算所得场值异常分布明显,为岩、矿体的激电效应在宏观尺度上的近一步研究提供了新的途径.
In this paper, we propose a finite volume forward modeling method for 2.5-D complex resistivity in the frequency domain using the GEMTIP model.Firstly, the theoretical model of GEMTIP is introduced and the effects of different parameters And the resistivity response characteristics of the system.Furthermore, the discrete equations satisfied by the finite volume and control volume are deduced in detail and the linear equations are solved by the GMRES.According to the analytical solution The results show that the GEMTIP model is a new model of Cole-Cole model, which is based on the actual geology, constructing several typical multiphase composite geoelectric models and simplifying the porphyry deposit model. And the related parameters are well characterized. The distribution of the calculated field values in a certain frequency band is obviously distributed, which provides a new approach for the further study on the macroscopic scale of the rock-ore body’s excite effect.