南京师范大学学报（工程技术版）2026，Vol.26Issue(1)：1-8,8.DOI:10.3969/j.issn.1672-1292.2026.01.001
基于分形理论和蒙特卡罗算法的多孔介质渗流性能研究
Study of Seepage Performance of Porous Media Based on Fractal Theory and Monte Carlo Algorithm
程一鸣 1林雅洁 2祁世红 2李应林2
作者信息
- 1. 江苏省生产力促进中心,江苏 南京 210042
- 2. 南京师范大学能源与机械工程学院,江苏 南京 210023
- 折叠
摘要
Abstract
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.关键词
多孔介质/分形/团簇/渗流Key words
porous media/fractal/clusters/permeability分类
数理科学引用本文复制引用
程一鸣,林雅洁,祁世红,李应林..基于分形理论和蒙特卡罗算法的多孔介质渗流性能研究[J].南京师范大学学报（工程技术版）,2026,26(1):1-8,8.
