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Prediction of relative permeability in unsaturated porous media with a fractal approach

机译：分形方法预测非饱和多孔介质中的相对渗透率

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摘要

Prediction of relative permeability in unsaturated porous media is important for oil and gas reservoir engineering and hydrology as well as chemical engineering. A physical conceptual model has been developed for two-phase flow in unsaturated porous media according to the fractal characteristics of pore-scale geometrical structure of natural porous media. The analytical expressions of relative permeabilities for wetting and nonwetting phases have been presented, which are the functions of wetting fluid saturation and porosity as well as fractal dimensions of the medium. Numerical simulations are also performed to determine the relationship between the relative permeability and saturation of unsaturated porous media by a fractal Monte Carlo method. The predictions by the current mathematical models have been validated by comparing with available empirical formulas, numerical results and experimental data. The present results indicate that the geometrical parameters (porosity, fractal dimension for pore size distribution and tortuosity fractal dimension) have significant effect on the multiphase flow through unsaturated porous media.
机译：预测非饱和多孔介质中的相对渗透率对油气藏工程，水文学以及化学工程具有重要意义。根据天然多孔介质的孔尺度几何结构的分形特征，开发了一种在不饱和多孔介质中进行两相流动的物理概念模型。给出了润湿阶段和非润湿阶段的相对渗透率的解析表达式，它们是润湿流体饱和度和孔隙率以及介质分形维数的函数。还通过分形蒙特卡洛方法进行了数值模拟，以确定相对渗透率与不饱和多孔介质饱和度之间的关系。通过与可用的经验公式，数值结果和实验数据进行比较，已经验证了当前数学模型的预测。目前的结果表明，几何参数（孔隙度，用于孔径分布的分形维数和曲折形分形维数）对流过不饱和多孔介质的多相流动具有重大影响。

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  • 作者

    Peng Xu; Shuxia Qiu; Boming Yu; Zhouting Jiang;

  • 作者单位

    College of Science, China Jiliang University, 258 Xueyuan Street, Hangzhou 310018, PR China;

    College of Science, China Jiliang University, 258 Xueyuan Street, Hangzhou 310018, PR China;

    School of Physics, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, PR China;

    College of Science, China Jiliang University, 258 Xueyuan Street, Hangzhou 310018, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Porous media; Multiphase flow; Relative permeability; Fractal; Monte Carlo;

    机译：多孔介质多相流;相对磁导率分形蒙特卡洛;

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