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Tortuosity for streamlines in porous media

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【Author】 Kou Jian-Long a) , Tang Xue-Ming b) , Zhang Hai-Yan b) , Lu Hang-Jun a) , Wu Feng-Min a) , Xu You-Sheng a) , and Dong Yong-Sheng b) a) College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China b) Department of Physics, Jining Teachers College, Jining 012000, Inner Mongolia Autonomous Region, China

【机构】 College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China； Department of Physics, Jining Teachers College, Jining 012000, Inner Mongolia Autonomous Region, China；

【摘要】 An analysis of tortuosity for streamlines in porous media is presented by coupling the circle and square models. It is assumed 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: c = 0.32, D T c = 1.07. The predicted correlations of the tortuosity and the porosity agree well with the existing experimental and simulated results.更多还原

【Abstract】 An analysis of tortuosity for streamlines in porous media is presented by coupling the circle and square models. It is assumed 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: c = 0.32, D T c = 1.07. The predicted correlations of the tortuosity and the porosity agree well with the existing experimental and simulated results.更多还原

【关键词】 tortuosity； tortuosity fractal dimension； porous media；
【Key words】 tortuosity； tortuosity fractal dimension； porous media；

【基金】 supported by the National Natural Science Foundation of China(Grant No.10932010,10972199,11005093,11072220, and 11079029);the Natural Science Foundation of Zhejiang Province of China (Grant No. Z6090556 and Y6100384);the Research Project for the Higher Educational Institutions of Inner Mongolia Autonomous Region (Grant No. NJZZ11284)

【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2012年04期

【分类号】O357.3
【被引频次】5
【下载频次】101

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