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中国物理学会期刊

基于LBM的各向异性多孔介质渗透率模型研究

Study of the Permeability Model of Anisotropic Porous Media by Lattice Boltzmann Method

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  • 本文聚焦多孔介质微观结构对介质渗透率的影响机制,采用四参数随机生长算法生成三维多孔介质微观结构,重点提取并解析了包含各向异性在内的五种结构特征参数间的关联关系,并采用多松弛格子Boltzmann方法进行多孔介质内渗流过程的数值模拟,全面分析不同孔隙结构参数对多孔介质渗透率的影响规律。结果表明,多孔介质微观结构特征中,各向异性因子独立于孔隙率、形状因子、比表面积和迂曲度,影响介质中的渗流行为。五个结构特征参数对渗透率的影响显著性由高到低分别是:孔隙率、形状因子、迂曲度、各向异性因子和比表面积。不考虑各向异性下,KC模型预测精度仅为0.8933。为提升多孔介质模型的准确性,本文建立了五个结构特征参数组成的多孔介质渗透率预测模型,预测精度提升至0.9982,拓展了当前KC模型的应用范围和预测精度。

    Fluid seepage behavior in porous media is widely existed in many fields such as biomedicine, energy extraction and geotechnical engineering. As a key physical parameter to characterize the transport ability of porous media, the numerical value of permeability directly determines the seepage performance of fluid in the media. Therefore, a comprehensive understanding of the intrinsic relationship between permeability and the pore structure of porous media is crucial for advancing related fields.
    Traditional studies on seepage mostly rely on macroscopic experiments or theoretical derivations, establishing the relationship between permeability and porosity by analyzing the influence of seepage conditions on seepage performance. However, such methods are difficult to reveal the intrinsic relationship between the microscopic pore structure and permeability. Due to the complexity of pore structure, even media with the same porosity may exhibit different permeability due to their structural differences. Therefore, this paper focuses on the influence mechanism of the microscopic structure of porous media on the permeability of the media. Based on the Quartet Structure Generation Set, three-dimensional anisotropic porous media models with different pore structures are constructed. The correlation between five structural characteristic parameters including anisotropy is extracted and analyzed. The Multiple-relaxation-time Lattice Boltzmann method is used to numerically simulate fluid seepage, visually presenting the seepage velocity and streamline distribution characteristics in different pore regions, and systematically analyzing the influence of the pore structure characteristics of porous media on the permeability of the medium.
    The results show that in the microstructure characteristics of porous media, the anisotropy factor is independent of porosity, shape factor, specific surface area and tortuosity, and affects the seepage behavior in the medium. The significance of the influence of the five structural characteristic parameters on permeability from high to low is as follows: porosity, shape factor, tortuosity, anisotropy factor and specific surface area. Without considering anisotropy, the prediction accuracy of the KC model is only 0.8933. To enhance the accuracy of the porous medium model, this paper establishes a porous medium permeability prediction model composed of five structural characteristic parameters. The prediction accuracy is improved to 0.9982, expanding the application scope and prediction accuracy of the current KC model.

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