A NUMERICAL STUDY ON FRACTAL DIMENSIONS OF CURRENT STREAMLINES IN TWO-DIMENSIONAL AND THREE-DIMENSIONAL PORE FRACTAL MODELS OF POROUS MEDIA

被引：45

作者：

Wei, Wei ^{[1
]}

Cai, Jianchao ^{[1
]}

Hu, Xiangyun ^{[1
]}

Fan, Ping ^{[1
]}

Han, Qi ^{[1
]}

Lu, Jinge ^{[1
]}

Cheng, Chu-Lin ^{[2
]}

Zhou, Feng ^{[1
]}

机构：

[1] China Univ Geosci, Inst Geophys & Geomat, Hubei Subsurface Multiscale Imaging Key Lab, Wuhan 430074, Peoples R China

[2] Univ Texas Pan Amer, Dept Mech Engn, Dept Phys & Geol, Edinburg, TX 78539 USA

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2015年 / 23卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Random Walker; Tortuosity; Fractal Dimension; Pore Fractal; TORTUOUS STREAMTUBES; ARCHIES LAW; PERMEABILITY; GEOMETRY; ROCKS; SOIL; DIFFUSION; PERCOLATION; MASS;

D O I：

10.1142/S0218348X15400125

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The fractal dimension of random walker (FDRW) is an important parameter for description of electrical conductivity in porous media. However, it is somewhat empirical in nature to calculate FDRW. In this paper, a simple relation between FDRW and tortuosity fractal dimension (TFD) of current streamlines is derived, and a novel method of computing TFD for different generations of two-dimensional Sierpinski carpet and three-dimensional Sierpinski sponge models is presented through the finite element method, then the FDRW can be accordingly predicted; the proposed relation clearly shows that there exists a linear relation between pore fractal dimension (PFD) and TFD, which may have great potential in analysis of transport properties in fractal porous media.

引用

页数：9

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