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Analysis of transient flow and starting pressure gradient of power-law fluid in fractal porous media

Author

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  • Xiao-Hua Tan

    (State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Xindu Road 8, Chengdu 610500, P. R. China)

  • Xiao-Ping Li

    (State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Xindu Road 8, Chengdu 610500, P. R. China)

  • Lie-Hui Zhang

    (State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Xindu Road 8, Chengdu 610500, P. R. China)

  • Jian-Yi Liu

    (State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Xindu Road 8, Chengdu 610500, P. R. China)

  • Jianchao Cai

    (Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, P. R. China)

Abstract

A transient flow model for power-law fluid in fractal porous media is derived by combining transient flow theory with the fractal properties of tortuous capillaries. Pressure changes of transient flow for power-law fluid in fractal porous media are related to pore fractal dimension, tortuosity fractal dimension and the power-law index. Additionally, the starting pressure gradient model of power-law fluid in fractal porous media is established. Good agreement between the predictions of the present model and that of the traditional empirical model is obtained, the sensitive parameters that influence the starting pressure gradient are specified and their effects on the starting pressure gradient are discussed.

Suggested Citation

  • Xiao-Hua Tan & Xiao-Ping Li & Lie-Hui Zhang & Jian-Yi Liu & Jianchao Cai, 2015. "Analysis of transient flow and starting pressure gradient of power-law fluid in fractal porous media," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(04), pages 1-15.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:04:n:s012918311550045x
    DOI: 10.1142/S012918311550045X
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    References listed on IDEAS

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    1. מחקר - ביטוח לאומי, 2006. "יוני 2006," Working Papers 214, National Insurance Institute of Israel.
    2. מחקר - ביטוח לאומי, 2006. "ינואר 2006," Working Papers 213, National Insurance Institute of Israel.
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    Cited by:

    1. Zhu, Jianting, 2020. "Coupling effect of power-law fluid properties and scaled fractal characteristics on flow through fractured media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).

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