Modifying the generalized effective-medium theory of induced polarization model in compacted rocks

Modifying the generalized effective-medium theory of induced polarization model in compacted rocks
复制标题

修正压实岩石中激发极化模型的广义有效介质理论

DOI:
10.1190/geo2019-0718.1
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发表时间:
2020-07
期刊:
影响因子:
3.3
通讯作者:
Xiang Kui
Xiang Kui
中科院分区:
地球科学2区
文献类型:
--
作者:
Tong Xiaolong;Yan Liangjun;Xiang Kui

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广义有效介质激发极化模型(GEMTIP)是基于有效介质理论,从麦克斯韦方程组出发建立的一种电磁物理模型。与Cole-Cole模型相比,GEMTIP模型参数与储层岩石成分、矿物粒度、孔隙度、比表面等结构参数的相关性更好,能更好地描述致密油气藏的激发极化(IP)特征。然而,GEMTIP不适合高电阻率扰动介质,它不考虑界面极化,这发生在两个介质之间,共享相同的电阻率。从GEMTIP模型的理论假设出发,通过在非均匀介质的麦克斯韦方程组中加入等效表面电流项,导出了扩展的GEMTIP模型(MGEMTIP)。通过数值模拟比较了两种模型预测的复电阻率参数,结果表明MGEMTIP模型能够更准确地预测非均匀介质的直流电阻率和带电率。MGEMTIP适用于表征高矿化度、低孔隙度、低渗透率和弥散扰动介质岩石的极化现象。利用MGEMTIP对岩石样品进行激电参数反演的结果表明,预测的带电率高于实验数据反演的带电率。这种差异与岩石渗透率密切相关。MGEMTIP为压实岩石激电参数的正演模拟和反演提供了岩石物理基础。模型激电参数与储层参数之间的定量关系也为电磁法预测储层渗透率提供了理论基础。
The generalized effective-medium theory of the induced polarization model (GEMTIP) is a mathematical-physical model derived from the Maxwell equations based on the effective-medium approach. Compared to the Cole-Cole model, the GEMTIP parameters are better related to the structural parameters of reservoir rocks, such as rock composition, mineral particle size, porosity, and specific surface; therefore, it can better describe the induced polarization (IP) characteristics of tight oil and gas reservoirs. However, GEMTIP is not suitable for high-resistivity perturbed media, and it does not account for interfacial polarization, which occurs between two media that share the same resistivity. Starting from the theoretical assumptions of the GEMTIP model, we derived an extended GEMTIP model (MGEMTIP) by adding an equivalent surface current term into the Maxwell equations for a heterogeneous medium. The complex resistivity parameters predicted by two models are compared through numerical simulation, and the results demonstrate that MGEMTIP can more accurately predict the DC resistivity and the chargeability of heterogeneous media. MGEMTIP is suitable for characterizing the polarization phenomena of rock with high salinity, low porosity, low hydraulic permeability, and a disseminated perturbed medium. Furthermore, the testing of rock samples for the inversion of IP parameters with MGEMTIP revealed that the predicted chargeability is higher than the inverted chargeability from the experimental data. This difference is strongly correlated with rock hydraulic permeability. MGEMTIP provides a petrophysical basis for the forward modeling and inversion of IP parameters of compacted rocks. The quantitative relationships between model IP parameters and reservoir parameters also provide a theoretical foundation for predicting reservoir permeability using electromagnetic methods.
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