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<p>In accordance with the fractal characteristics of fractures, the flow path of fluid in fractures is regarded as a rough capillary bundle in this paper. Combined with the influence of effective stress on seepage in rock fracture, the fractal model of permeability and the normalized permeability model in rough rock fracture considering effective stress are established. The effects of effective stress and relative roughness on fracture permeability and the relationship between normalized permeability and Young’s modulus, Poisson’s ratio were investigated. The findings reveal that the normalized permeability in the rough fracture is inversely related to both relative roughness, Poisson’s ratio and effective stress while exhibiting a direct proportionality to Young’s modulus. In addition, the model presented in this paper is subjected to a comparative analysis alongside existing models and experimental data, which shows that the model in this paper can effectively describe the seepage properties of fluid within rough fractures subjected to stress conditions.</p>

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Fractal study of fracture permeability characteristics in porous media based on rough capillary bundle model and stress effect

  • 期刊论文

  • 发表日期：

    2025年2月26日

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  • Shanshan Yang,
  • Ruike Cui,
  • Qian Zheng,
  • Mengying Wang,
  • Shuaiyin Chen,
  • Qiong Sheng

摘要

In accordance with the fractal characteristics of fractures, the flow path of fluid in fractures is regarded as a rough capillary bundle in this paper. Combined with the influence of effective stress on seepage in rock fracture, the fractal model of permeability and the normalized permeability model in rough rock fracture considering effective stress are established. The effects of effective stress and relative roughness on fracture permeability and the relationship between normalized permeability and Young’s modulus, Poisson’s ratio were investigated. The findings reveal that the normalized permeability in the rough fracture is inversely related to both relative roughness, Poisson’s ratio and effective stress while exhibiting a direct proportionality to Young’s modulus. In addition, the model presented in this paper is subjected to a comparative analysis alongside existing models and experimental data, which shows that the model in this paper can effectively describe the seepage properties of fluid within rough fractures subjected to stress conditions.