| 引用本文： |
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李源远,张志勇,易柯.基于阿尔奇公式的三维直流电阻率有限元正演[J].广西科学,2025,32(1):132-139. [点击复制]
- LI Yuanyuan,ZHANG Zhiyong,YI Ke.Forward Modeling of 3D Direct Current Resistivity Based on Finite Element Method and Archie's Formula[J].Guangxi Sciences,2025,32(1):132-139. [点击复制]
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| 摘要: |
| 为深入分析相关参数对正演响应的影响，本文基于阿尔奇公式(Archie's formula)开展了适用于渗流条件的三维直流电阻率有限元正演。首先，采用非结构四面体网格进行区域离散，实现了地质模型的精确刻画；通过阿尔奇公式构建了孔隙度、含水饱和度等参数与岩石电阻率的内在联系，建立了渗流场的多参数模型。其次，以典型砂岩型模型与砂岩型油水模型为例，开展了系统的数值模拟研究，揭示了不同阿尔奇参数条件下正演视电阻率的响应特征。研究结果表明：孔隙度、含水饱和度、胶结指数和溶液电阻率等因素对三维直流电正演响应的影响不容忽视。基于阿尔奇公式参数与视电阻率的定量关系分析，可为渗流场的深入研究提供参考。 |
| 关键词: 直流电阻率 阿尔奇公式 有限单元法 数值模拟 |
| DOI：10.13656/j.cnki.gxkx.20250509.001 |
| 投稿时间：2024-07-30修订日期：2024-09-30 |
| 基金项目:江西省交通运输厅科技项目(2022H0025)资助. |
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| Forward Modeling of 3D Direct Current Resistivity Based on Finite Element Method and Archie's Formula |
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LI Yuanyuan, ZHANG Zhiyong, YI Ke
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| (School of Geophysics and Measurement-control Technology, East China University of Technology, Nanchang, Jiangxi, 330013, China) |
| Abstract: |
| To deeply analyze the influences of relevant parameters on the forward response,Archie's formula is adopted to achieve forward modeling of 3D direct current resistivity based on the finite element method,which is suitable for seepage conditions.An unstructured tetrahedral mesh is used for regional discretization to accurately depict the geological model.Archie's formula is adopted to establish the intrinsic relationship between parameters such as porosity,water saturation,and rock resistivity,and a multiparameter model of the seepage field is constructed.A series of numerical simulations are conducted with a typical sandstone model and a sandstone oil-water layer model as examples to analyze the apparent resistivity responses of forward modeling under different Archie parameters.The results show that porosity,water saturation,cementation index,and solution resistivity significantly affect the response of forward modeling.The analysis of the quantitative relationship between Archie's formula parameters and apparent resistivity provides a reference for further research on seepage fields. |
| Key words: direct current resistivity Archie's formula finite element method numerical simulation |
