Tortuosity for streamlines in porous media |
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| Authors: | Kou Jian-Long Tang Xue-Ming Zhang Hai-Yan Lu Hang-Jun Wu Feng-Min Xu You-Sheng Dong Yong-Sheng |
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| Institution: | 1. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China;2. Department of Physics, Jining Teachers College, Jining 012000, Inner Mongolia Autonomous Region, China |
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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: φc=0.32, DTc=1.07. The predicted correlations of the tortuosity and the porosity agree well with the existing experimental and simulated results. |
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| Keywords: | tortuosity tortuosity fractal dimension porous media |
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