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Permeability Models For Two-Phase Flow In Fractal Porous-Fracture Media With The Transfer Of Fluids From Porous Matrix To Fracture

Author

Listed:
  • TONGJUN MIAO

    (College of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • AIMIN CHEN

    (��College of Chemistry and Chemical Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • YAN XU

    (College of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • SUJUN CHENG

    (College of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • LIWEI ZHANG

    (College of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • CHANGBIN YAN

    (��School of Civil Engineering, Zhengzhou University, Zhengzhou, Henan 450001, P. R. China)

  • BOMING YU

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

Abstract

Study of transport mechanism of two-phase flow through porous-fracture media is of considerable importance to deeply understand geologic behaviors. In this work, to consider the transfer of fluids, the analytical models of dimensionless relative permeabilities for the wetting and non-wetting phases flow are proposed based on the fractal geometry theory for porous media. The proposed models are expressed as functions of micro-structural parameters of the porous matrix and fracture, such as the fractal dimension (Dp) for pore area, the fractal dimensions (Dp,w,Dp,nw) for wetting phase and for non-wetting phase, porosity (ϕ), the total saturations (Sw,Snw), the porous matrix saturation (Sm,w,Sm,nw) of the wetting and non-wetting phases, fractal dimension (DT) for tortuosity of tortuous capillaries, as well as the ratio (δ) of the maximum pore size in porous matrix to fracture aperture. The ratio (k = Sf,w/Sm,w) has a significant impact on the relative permeabilities and total saturations of wetting phases. The results reveal that the flow contribution of wetting phase from the porous matrix to both the seepage behavior of the fracture and total wetting phase saturation can be neglected as δ ≤ 0.1. The models may shed light on the fundamental mechanisms of the wetting and non-wetting phase flow in porous-fracture media with fluid transfer.

Suggested Citation

  • Tongjun Miao & Aimin Chen & Yan Xu & Sujun Cheng & Liwei Zhang & Changbin Yan & Boming Yu, 2021. "Permeability Models For Two-Phase Flow In Fractal Porous-Fracture Media With The Transfer Of Fluids From Porous Matrix To Fracture," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(06), pages 1-10, September.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:06:n:s0218348x21501486
    DOI: 10.1142/S0218348X21501486
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