基于逾渗理论的多孔过滤介质孔径分布估计方法

Estimation of pore size distribution of porous media based on percolation theory

结合逾渗理论和网格模型,建立了过滤系数与过滤介质孔径分布的联系方程。利用此方程结合过滤实验数据获得过滤介质孔径分布的统计参数,同时与其他方法获得孔径分布参数以及其他文献中的数据进行比较,并利用计算机模拟过滤过程验证了获得的孔径分布参数,结果表明基于逾渗理论的过滤模型用于孔径分布参数的估计是比较准确和有效的。

Based on percolation theory and network model, an equation describing the relationship between filtration coefficient and pore size distribution （PSD） of filter media was established. Using this equation, PSD parameters of the filter medium could be obtained from experimental data. Moreover, the result was also compared with PSD parameters estimated by other methods and other data in the literature. In order to validate this method, the obtained PSD parameters were used in the simulation of straining-dominant filtration, and the simulation result was consistent with experimental data. The filtration model based on percolation theory for PSD parameter estimation was relatively accurate and effective.