中国物理B ›› 2012, Vol. 21 ›› Issue (4): 44701-044701.doi: 10.1088/1674-1056/21/4/044701

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寇建龙1,唐学明2,张海燕2,陆杭军1,吴锋民1,许友生1,董永胜2   

  • 收稿日期:2011-03-22 修回日期:2011-11-24 出版日期:2012-02-29 发布日期:2012-02-29
  • 通讯作者: 寇建龙,kjl@zjnu.cn;吴锋民,wfm@zjnu.cn E-mail:kjl@zjnu.cn;wfm@zjnu.cn

Tortuosity for streamlines in porous media

Kou Jian-Long(寇建龙)a)†, Tang Xue-Ming(唐学明)b), Zhang Hai-Yan(张海燕)b), Lu Hang-Jun(陆杭军)a), Wu Feng-Min(吴锋民) a)‡, Xu You-Sheng(许友生)a), and Dong Yong-Sheng(董永胜)b)   

  1. 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
  • Received:2011-03-22 Revised:2011-11-24 Online:2012-02-29 Published:2012-02-29
  • Contact: Kou Jian-Long,kjl@zjnu.cn;Wu Feng-Min,wfm@zjnu.cn E-mail:kjl@zjnu.cn;wfm@zjnu.cn
  • Supported by:
    Project 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), and the Research Project for the Higher Educational Institutions of Inner Mongolia Autonomous Region (Grant No. NJZZ11284).

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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: $\phi$c=0.32, DTc=1.07. The predicted correlations of the tortuosity and the porosity agree well with the existing experimental and simulated results.

Key words: tortuosity, tortuosity fractal dimension, porous media

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