物理学报2026，Vol.75Issue(7)：432-443,12.DOI:10.7498/aps.75.20251421
基于格子玻尔兹曼方法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
摘要
Abstract
Fluid seepage behavior in porous media exists widely 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 permeability value 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 fail 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.关键词
格子玻尔兹曼方法/各向异性/多孔介质/渗透率Key words
lattice Boltzmann method/anisotropy/porous media/permeability引用本文复制引用
周礼辉,吴迪,刘柳,周萍,黄荣宗,伍东玲..基于格子玻尔兹曼方法的各向异性多孔介质渗透率模型研究[J].物理学报,2026,75(7):432-443,12.基金项目
国家自然科学基金(批准号:52376086)和中南大学研究生科研创新项目(批准号:1053320240881)资助的课题. Project supported by the National Natural Science Foundation of China(Grant No.52376086)and the Postgraduate Research Innovative Project of Central South University(Grant No.1053320240881). （批准号:52376086）
