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Temporal Evolution Of Permeability For Porous Rock During Mineral Dissolution And Precipitation Process Based On Fractal Theory

Author

Listed:
  • AIMIN CHEN

    (School of Chemistry and Material Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • TONGJUN MIAO

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

  • XIAOMENG SHEN

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

  • BOMING YU

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

Abstract

Mineral dissolution and precipitation reactions occur in a variety of porous rocks due to the deviations from a geochemical equilibrium between solid matrix and flow fluid, resulting in the alteration of the petrophysical properties of rocks. A physically-based theoretical model is proposed based on fractal theory for quantitatively assessing the temporal evolution of permeability for porous rocks undergoing mineral dissolution and precipitation reactions. The proposed model is associated with pore structure parameters, such as initial porosity (ϕ0), the tortuosity fractal dimensions (DT,t), the initial fractal dimension (Df,0), and the overall dissolution rate (αt) considering the precipitation reactions in porous rocks. The proposed model provides a better prediction of the time dependence of permeability compared with the available experimental data. The essential effects of the overall dissolution rate and pore structural parameters of porous rocks on the dimensionless time-dependent permeabilities are investigated in detail. It is found that the overall dissolution rate has obvious effects on the dimensionless time dependence of permeabilities. The present model may provide useful insights into the understanding of permeability change during mineral dissolution and precipitation reactions in porous rocks.

Suggested Citation

  • Aimin Chen & Tongjun Miao & Xiaomeng Shen & Boming Yu, 2024. "Temporal Evolution Of Permeability For Porous Rock During Mineral Dissolution And Precipitation Process Based On Fractal Theory," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-14.
  • Handle: RePEc:wsi:fracta:v:32:y:2024:i:06:n:s0218348x24501020
    DOI: 10.1142/S0218348X24501020
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