A Permeability Model of Fractal Porous Media Composed of Arbitrary Shape Capillaries Based on Monte Carlo Simulation

Shihong Qi, Di Yu, B. Niu, Yinglin Li
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Abstract

The permeability plays a vital role in describing the Newtonian fluids in fractal porous media. Assuming that porous media consist of capillaries only with single cross-sectional shape doesn't concur with real situations, and most porous media in nature are tremendously complex and consist of numerous tortuous capillaries/pores with various cross-sectional shapes. This paper derives a general permeability model of porous media composed of capillaries with mixed cross-sectional shapes and compares the predicting results of permeability by the present model with those by the previous models and experiment data of previous studies. The analysis results indicate that there is an optimal cross-sectional proportion of mixed shapes for the pores/capillaries in the porous media.
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基于蒙特卡罗模拟的任意形状毛细血管分形多孔介质渗透率模型
渗透率在描述分形多孔介质中的牛顿流体中起着至关重要的作用。假设多孔介质仅由单一横截面形状的毛细血管组成是不符合实际情况的,自然界中大多数多孔介质极其复杂,由众多横截面形状各异的弯曲毛细血管/孔隙组成。本文推导了由混合截面形状的毛细血管组成的多孔介质的一般渗透率模型,并将该模型的渗透率预测结果与以往的模型和实验数据进行了比较。分析结果表明,多孔介质中孔隙/毛细血管的混合形状截面比例存在最佳值。
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