A DISCUSSION ON FRACTAL MODELS FOR TRANSPORT PHYSICS OF POROUS MEDIA

被引:112
作者
Xu, Peng [1 ]
机构
[1] China Jiliang Univ, Coll Sci, Hangzhou 310018, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Porous Media; Fractal; Capillary Model; Tree-Like Network; STARTING PRESSURE-GRADIENT; EFFECTIVE THERMAL-CONDUCTIVITY; MONTE-CARLO-SIMULATION; GAS-DIFFUSION LAYER; BINGHAM FLUIDS; SPONTANEOUS IMBIBITION; MELT CRYSTALLIZATION; PERMEABILITY; SOIL; FLOW;
D O I
10.1142/S0218348X15300019
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Fractal model provides an alternative and useful means for studying the transport phenomenon in porous media and analyzing the macroscopic transport properties of porous media, as fractal geometry can successfully characterize disordered and heterogeneous geometrical microstructures of porous media on multi scales. Recently, fractal models on porous media have attracted increasing interests from many different disciplines. In this mini-review paper, a review on fractal models for number-size distribution in porous media is made, and a unified fractal model to characterize pore and particle size distributions is proposed according to the statistical fractal property of the complex microstructure in porous media. Using the fractal scaling laws for pore and fracture size distributions, a fractal capillary bundle model and a fractal tree-like network model are presented and summarized for homogenous and fractured porous media, respectively. And the applications of the fractal capillary bundle model and fractal tree-like network model for analysis of transport physics in porous media are also reviewed.
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页数:11
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