首页|期刊导航|南京师范大学学报(工程技术版)|基于分形理论和蒙特卡罗算法的多孔介质渗流性能研究

基于分形理论和蒙特卡罗算法的多孔介质渗流性能研究OA

Study of Seepage Performance of Porous Media Based on Fractal Theory and Monte Carlo Algorithm

中文摘要英文摘要

基于分形理论和蒙特卡罗算法建立二维随机多孔介质模型,采用4邻域种子填充法分析其渗流特性.结果表明,渗流阈值约为0.593.选取3种孔隙率对模型中的团簇进行统计分析,当n=50时,团簇数量曲线比较顺滑,在二维多孔介质发生渗流前,团簇概率分布与团簇大小呈负相关关系.最大团簇占比具有标度不变性,死端团簇尺寸分布呈现近似正态分布的特征;随着孔隙率的增大,随机多孔介质的渗透率也逐渐升高,迂曲度反而减小.

Based on the fractal theory and Monte Carlo algorithm,a two-dimensional random porous media is established,and the 4-neighbourhood seed-filling algorithm is used to analyze the seepage performance of the porous media.Results show that the percolation threshold is about 0.593.Three porosities are selected to statistically analyze of the clusters in the model.The cluster number curve is relatively smooth when n=50.The probability distribution curve of the clusters is negatively correlated with the cluster size before the percolation behavior of the two-dimensional porous media.The largest cluster percentage has a scale invariance.While the dead-end cluster size presents a similar characteristic of the normal distribution.As porosity increases,the permeability of random porous media also increases,whereas the tortuosity decreases.

程一鸣;林雅洁;祁世红;李应林

江苏省生产力促进中心,江苏 南京 210042南京师范大学能源与机械工程学院,江苏 南京 210023南京师范大学能源与机械工程学院,江苏 南京 210023南京师范大学能源与机械工程学院,江苏 南京 210023

数理科学

多孔介质分形团簇渗流

porous mediafractalclusterspermeability

《南京师范大学学报(工程技术版)》 2026 (1)

1-8,8

10.3969/j.issn.1672-1292.2026.01.001

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