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Volume 57 Issue 1
Jan.  2025
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Yang Yihong, Sheng Jianlong, Ye Zuyang, Wang Nan, Zhou Wen. Study on the relationship between geological entropy and permeability characteristics of heterogeneous porous media. Chinese Journal of Theoretical and Applied Mechanics, 2025, 57(1): 273-282. DOI: 10.6052/0459-1879-24-294
Citation: Yang Yihong, Sheng Jianlong, Ye Zuyang, Wang Nan, Zhou Wen. Study on the relationship between geological entropy and permeability characteristics of heterogeneous porous media. Chinese Journal of Theoretical and Applied Mechanics, 2025, 57(1): 273-282. DOI: 10.6052/0459-1879-24-294
shu

STUDY ON THE RELATIONSHIP BETWEEN GEOLOGICAL ENTROPY AND PERMEABILITY CHARACTERISTICS OF HETEROGENEOUS POROUS MEDIA

  • *.

    College of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan 430081, China

  • †.

    Hubei Key Laboratory of Efficient Utilization and Agglomeration of Metallurgical Mineral Resources, Wuhan 430081, China

  • **.

    Power Science Research Institute of State Grid Hubei Electric Power Company Limited, Wuhan 430077, China

  • ††.

    Huanglongtan Hydropower Plant, State Grid Hubei Electric Power Company Limited, Shiyan 442000, Hubei, China

  • Received Date: June 20, 2024
  • Accepted Date: December 08, 2024
  • Available Online: December 08, 2024
  • Published Date: December 19, 2024
    Graphical Abstract
    • Abstract
  • In order to analyze how the heterogeneity of the pore structure of porous media affects its permeability characteristics, the theory of geological entropy for porous media, along with a heterogeneity index called the entropy scale, are introduced based on the principle of information entropy. Utilizing a model consisting of spherical particles with varying distances between their centers, a comparative analysis is carried out between the entropy scale and traditional geometric parameter indicators, which demonstrates the rationality of using the entropy scale for assessing both the heterogeneity of the pore structure and the permeability characteristics of porous media. Using the improved four-parameter random growth method and lattice-Boltzmann method, heterogeneous porous media with different degrees of heterogeneity were established and fluid seepage was simulated. The relationship between the entropy scale of heterogeneous porous media and their heterogeneity and permeability characteristics was analyzed. The results indicate that when porosity is constant, the entropy scale can consider the spatial arrangement and distribution of pore structures, providing a more accurate description of how pore structure heterogeneity affects permeability. The average equivalent particle diameter shows a positive correlation with the entropy scale: stronger heterogeneity leads to a wider range of changes in the average equivalent particle diameter and entropy scale, resulting in increased permeability of porous media and a more pronounced dominance of preferential flow effects. The differences in the size of the particles, along with the irregular and random arrangement of these particles, contribute to the fundamental factors responsible for the increased heterogeneity observed in the pore structure. Tortuosity, connected porosity, and specific surface area collectively play a crucial role in the influencing mechanism through which the heterogeneity of pore structure affects permeability. Their product values exhibit a higher positive correlation with the entropy scale; larger entropy scales correspond to higher permeability. The nonlinear relationship between entropy scale and permeability approximately follows an exponential function.
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    • References (30)
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