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Fractal analysis of permeability near the wall in porous media

Author

Listed:
  • Mingchao Liang

    (School of Physics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China)

  • Boming Yu

    (School of Physics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China;
    State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, P. R. China)

  • Li Li

    (School of Physics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China)

  • Shanshan Yang

    (School of Physics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China)

  • Mingqing Zou

    (School of Physics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China;
    State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, P. R. China)

Abstract

In this paper, a fractal model for permeability of porous media is proposed based on Tamayol and Bahrami's method and the fractal theory for porous media. The proposed model is expressed as a function of the mean particle diameter, the length along the macroscopic pressure drop in the medium, porosity, fractal dimensions for pore space and tortuous capillaries, and the ratio of the minimum pore size to the maximum pore size. The relationship between the permeability near the wall and the dimensionless distance from the wall under different conditions is discussed in detail. The predictions by the present fractal model are in good agreement with available experimental data. The present results indicate that the present model may have the potential in comprehensively understanding the mechanisms of flow near the wall in porous media.

Suggested Citation

  • Mingchao Liang & Boming Yu & Li Li & Shanshan Yang & Mingqing Zou, 2014. "Fractal analysis of permeability near the wall in porous media," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(07), pages 1-13.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:07:n:s0129183114500211
    DOI: 10.1142/S0129183114500211
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