Three-Dimensional Cole-Cole Model Inversion of Induced Polarization Data Based on Regularized Conjugate Gradient Method
Three-Dimensional Cole-Cole Model Inversion of Induced Polarization Data Based on Regularized Conjugate Gradient Method
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DOI：
10.1109/lgrs.2014.2387197
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发表时间：
2015-02
影响因子：
4.8
通讯作者：
Zhengwei Xu;M. Zhdanov
中科院分区：
文献类型：
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作者：
Zhengwei Xu;M. Zhdanov
激发极化（IP）现象的建模对于开发有效的地下地质遥感方法具有重要意义。然而，复杂三维环境下激电数据的定量解释仍然是应用地球物理学的一个挑战性问题。本文提出了一种基于地面激电数据确定Cole-Cole模型四个参数三维分布的方法。该方法考虑了电磁感应和激电现象的非线性性质。三维激电反问题的求解基于正则化共轭梯度法。该方法进行了测试的合成模型与可变直流电导率，固有的充电率，时间常数，和松弛参数，它也被应用到实际的3-D IP调查数据。我们证明了四个参数的科尔-科尔模型，即直流电阻率，充电率，时间常数，和松弛参数，可以同时从所观察到的IP数据恢复。
Modeling of induced polarization (IP) phenomena is important for developing effective methods for remote sensing of subsurface geology. However, the quantitative interpretation of IP data in a complex 3-D environment is still a challenging problem of applied geophysics. This letter develops a method of determining a 3-D distribution of the four parameters of the Cole-Cole model based on surface IP data. The method takes into account the nonlinear nature of both electromagnetic induction and IP phenomena. The solution of the 3-D IP inverse problem is based on the regularized conjugate gradient method. The method was tested on a synthetic model with variable dc conductivity, intrinsic chargeability, time constant, and relaxation parameters, and it was also applied to the actual 3-D IP survey data. We demonstrate that the four parameters of the Cole-Cole model, namely, dc electrical resistivity, chargeability, time constant, and the relaxation parameter, can be recovered from the observed IP data simultaneously.