Tortuosity for streamlines in porous media

doi:10.1088/1674-1056/21/4/044701

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, D_{T_c}=1.07. The predicted correlations of the tortuosity and the porosity agree well with the existing experimental and simulated results.

Keywords: tortuosity tortuosity fractal dimension porous media

Received: 22 March 2011
Revised: 24 November 2011
Accepted manuscript online:

PACS:	47.55.Mh
	03.40.Kf
	02.70

Fund: 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).

Corresponding Authors: Kou Jian-Long,kjl@zjnu.cn;Wu Feng-Min,wfm@zjnu.cn
E-mail: kjl@zjnu.cn;wfm@zjnu.cn

Cite this article:

Kou Jian-Long(寇建龙), Tang Xue-Ming(唐学明), Zhang Hai-Yan(张海燕), Lu Hang-Jun(陆杭军), Wu Feng-Min(吴锋民), Xu You-Sheng(许友生), and Dong Yong-Sheng(董永胜) Tortuosity for streamlines in porous media 2012 Chin. Phys. B 21 044701

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