A new way to extract the abnormal response of complex resistivity based on GEMTIP model

Yanqun Cui, Jing Zhang, Jing Yin, Chun-yan Liu, Hongyi Zhai, X. Pu
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Abstract

Spectrum induced polarization method is mainly used for geological survey according to the difference of conductivity and polarization of medium. Combined with the needs of national strategic development, this paper studies the three-dimensional finite element numerical simulation method of complex resistivity based on generalized equivalent dielectric induced polarization (GEMTIP) model. This method has been widely used in resource exploration, engineering geology and other fields. First, the GEMTIP model and the complex resistivity variation characteristics of GEMTIP model under the influence of different parameters was introduced. Then, the variation equations were established for two-point sources of 3D modeling of complex resistivity method. The computing area was divided into hexahedral elements. The complex potential and the complex conductivity of rocks within each triangular lattice were described by a linear interpolation to create a linear equations system from the variation equation. The BICGSTAB (Bi-conjugate gradient stabilized method) algorithm with incomplete LU decomposition for preconditioning was used to solve the system linear equation to calculate the anomalous complex potential of all nodes and the apparent complex resistivity on the surface. Finally, this approach was verified through the calculations of a two layered model. Two typical geoelectric models were designed to test the correctness and efficiency of the algorithm. The results show that it provides new way to further study the induced polarization effect of rock and ore on the acroscopic scale.
基于GEMTIP模型的复电阻率异常响应提取新方法
根据介质电导率和极化的差异,主要采用谱激法进行地质调查。结合国家战略发展需要,研究了基于广义等效介电激电(GEMTIP)模型的复电阻率三维有限元数值模拟方法。该方法已广泛应用于资源勘探、工程地质等领域。首先,介绍了GEMTIP模型及不同参数影响下GEMTIP模型的复电阻率变化特征;然后,建立了两点源复合电阻率法三维建模的变化方程。计算区域被划分为六面体单元。用线性插值法描述了每个三角晶格内岩石的复电势和复电导率,由变分方程建立了线性方程组。采用不完全LU分解预处理的BICGSTAB(双共轭梯度稳定法)算法求解系统线性方程,计算各节点的异常复电位和地表的视复电阻率。最后,通过两层模型的计算验证了该方法的有效性。设计了两个典型地电模型,验证了算法的正确性和有效性。结果表明,该方法为进一步在宏观尺度上研究岩石和矿石的诱导极化效应提供了新的途径。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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