
Viscoplastic and pseudoplastic flows through fractal fractures. Optimal Design of Porous Structures for the Fastest Liquid Absorption. Dahua Shou, Lin Ye, Jintu Fan, and Kunkun Fu.Generalized Modeling of Spontaneous Imbibition Based on Hagen–Poiseuille Flow in Tortuous Capillaries with Variably Shaped Apertures. Jianchao Cai, Edmund Perfect, Chu-Lin Cheng, and Xiangyun Hu.This article is cited by 81 publications. The proposed model improved the understanding of the physical mechanisms of liquid transport through porous media. The predicted relative permeability obtained by the present Monte Carlo simulation is shown to have a good agreement with the experimental results reported in the literature. There is no empirical constant in the proposed model, and each parameter in the model has a clear physical meaning. Besides, it is shown that the capillary pressure increases with the decrease of saturation, and at low saturation the capillary pressure increases sharply with the decrease of saturation. It is found that the phase fractal dimensions ( D f,w and D f,g) strongly depend on porosity. The relative permeability is expressed as a function of porosity, area fractal dimension of pores, fractal dimension of tortuous capillaries, degree of saturation, and capillary pressure. In this paper, the Monte Carlo technique is applied to predict the relative permeability of unsaturated porous media, considering the effect of capillary pressure and tortuosity of capillaries. The relative permeability and capillary pressure are the key parameters that affect liquid transport through porous media. Mass transport through porous media is an important subject to engineers and scientists in various areas including oil engineering, fuel cells, soil science, textile engineering, etc.
