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Fractal Study On Interporosity Flow Function And Shape Factor Of A Power-Law Fluid In Rough Fractured Dual Media

Author

Listed:
  • SHANSHAN YANG

    (Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, Hubei 443002, P. R. China†College of Science, China Three Gorges University, Yichang 443002, Hubei, P. R. China)

  • RUIKE CUI

    (Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, Hubei 443002, P. R. China†College of Science, China Three Gorges University, Yichang 443002, Hubei, P. R. China)

  • MINGQING ZOU

    (��China-EU Institute for Clean and Renewable Energy, Huazhong University of Science and Technology, Wuhan, 430074, P. R. China)

  • QIONG SHENG

    (Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, Hubei 443002, P. R. China†College of Science, China Three Gorges University, Yichang 443002, Hubei, P. R. China)

  • SHUAIYIN CHEN

    (Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, Hubei 443002, P. R. China†College of Science, China Three Gorges University, Yichang 443002, Hubei, P. R. China)

  • MENGYING WANG

    (Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, Hubei 443002, P. R. China†College of Science, China Three Gorges University, Yichang 443002, Hubei, P. R. China)

Abstract

Many scholars have studied the interporosity flow function (IFF) and shape factor. However, the existing research does not consider the complex microstructure of dual media and the influence of fluid types on interporosity flow. In this paper, the anisotropic IFF and shape factor model of power-law fluid in smooth and rough fracture dual media are established by using the rough capillary bundle model and considering the influence of the microstructure of dual media and the type of fluid. The relationship between IFF, shape factor, and relative roughness in dual media is studied. It is found that the relative roughness is inversely proportional to the IFF and inversely proportional to the shape factor. In addition, the model is compared with the existing research and experimental data to verify the rationality of the model.

Suggested Citation

  • Shanshan Yang & Ruike Cui & Mingqing Zou & Qiong Sheng & Shuaiyin Chen & Mengying Wang, 2024. "Fractal Study On Interporosity Flow Function And Shape Factor Of A Power-Law Fluid In Rough Fractured Dual Media," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(01), pages 1-15.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:01:n:s0218348x24500051
    DOI: 10.1142/S0218348X24500051
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