Tortuosity for streamlines in porous media

An analysis of tortuosity for streamlines in porous media is presented by coupling the circle and square models. It is assulued that some particles in porous media do not overlap and that fluid in porous media is incompressible. The relationship between tortuosity and porosity is attained with diffe...

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Published inChinese physics B Vol. 21; no. 4; pp. 364 - 369
Main Author 寇建龙 唐学明 张海燕 陆杭军 吴锋民 许友生 董永胜
Format Journal Article
LanguageEnglish
Published 01.04.2012
Subjects
Computational fluid dynamics
Correlation
Fluid flow
Fractal analysis
Fractals
Media
Porosity
Thresholds
Tortuosity
不可压缩
分形维数
多孔介质
孔隙率
模型分析
渗流阈值
经验常数
统计方法
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Summary:An analysis of tortuosity for streamlines in porous media is presented by coupling the circle and square models. It is assulued that some particles in porous media do not overlap and that fluid in porous media is incompressible. The relationship between tortuosity and porosity is attained with different configurations by using a statistical method. In addition, the tortuosity fractal dimension is expressed as a function of porosity. Those correlations do not include any empirical constant. The percolation threshold and tortuosity fractal dimension threshold of porous media are also presented as： φc = 0.32, DT,： = 1.07. The predicted correlations of the tortuosity and the porosity agree well with the existing experimental and simulated results.
Bibliography:tortuosity, tortuosity fractal dimension, porous media
An analysis of tortuosity for streamlines in porous media is presented by coupling the circle and square models. It is assulued that some particles in porous media do not overlap and that fluid in porous media is incompressible. The relationship between tortuosity and porosity is attained with different configurations by using a statistical method. In addition, the tortuosity fractal dimension is expressed as a function of porosity. Those correlations do not include any empirical constant. The percolation threshold and tortuosity fractal dimension threshold of porous media are also presented as： φc = 0.32, DT,： = 1.07. The predicted correlations of the tortuosity and the porosity agree well with the existing experimental and simulated results.
11-5639/O4
Kou Jian-Long, Tang Xue-Ming, Zhang Hai-Yan, Lu Hang-Jun, Wu Feng-Min, Xu You-Sheng,and Dong Yong-Sheng a） College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, dinhua 321004, China b） Department of Ph.ysics, dining Teachers College, dining 012000, Inner Mongolia Autonomous Region, China
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/4/044701