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A Novel Porous Media Permeability Model Based on Fractal Theory and Ideal Particle Pore-Space Geometry Assumption

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  • Yongquan Hu

    (State Key Laboratory of Oil-Gas Reservoir Geology & Exploitation, Southwest Petroleum University, Chengdu 610500, China)

  • Qiang Wang

    (State Key Laboratory of Oil-Gas Reservoir Geology & Exploitation, Southwest Petroleum University, Chengdu 610500, China)

  • Jinzhou Zhao

    (State Key Laboratory of Oil-Gas Reservoir Geology & Exploitation, Southwest Petroleum University, Chengdu 610500, China)

  • Shouchang Xie

    (Xinjiang Oilfield Company Development Company, Karamay 834000, China)

  • Hong Jiang

    (Xinjiang Oilfield Company Development Company, Karamay 834000, China)

Abstract

In this paper, a novel porous media permeability model is established by using particle model, capillary bundle model and fractal theory. The three-dimensional irregular spatial characteristics composed of two ideal particles are considered in the model. Compared with previous models, the results of our model are closer to the experimental data. The results show that the tortuosity fractal dimension is negatively correlated with porosity, while the pore area fractal dimension is positively correlated with porosity; The permeability is negatively correlated with the tortuosity fractal dimension and positively correlated with the integral fractal dimension of pore surface and particle radius. When the tortuosity fractal dimension is close to 1 and the pore area fractal dimension is close to 2, the faster the permeability changes, the greater the impact. Different particle arrangement has great influence on porous media permeability. When the porosity is close to 0 and close to 1, the greater the difference coefficient is, the more the permeability of different arrangement is affected. In addition, the larger the particle radius is, the greater the permeability difference coefficient will be, and the greater the permeability difference will be for different particle arrangements. With the increase of fractal dimension, the permeability difference coefficient first decreases and then increases. When the pore area fractal dimension approaches 2, the permeability difference coefficient changes faster and reaches the minimum value, and when the tortuosity fractal dimension approaches 1, the permeability difference coefficient changes faster and reaches the minimum value. Our research is helpful to further understand the connotation of medium transmission in porous media.

Suggested Citation

  • Yongquan Hu & Qiang Wang & Jinzhou Zhao & Shouchang Xie & Hong Jiang, 2020. "A Novel Porous Media Permeability Model Based on Fractal Theory and Ideal Particle Pore-Space Geometry Assumption," Energies, MDPI, vol. 13(3), pages 1-17, January.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:3:p:510-:d:311311
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    References listed on IDEAS

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    1. Qiang Wang & Yongquan Hu & Jinzhou Zhao & Lan Ren & Chaoneng Zhao & Jin Zhao, 2019. "Multiscale Apparent Permeability Model of Shale Nanopores Based on Fractal Theory," Energies, MDPI, vol. 12(17), pages 1-18, September.
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    Cited by:

    1. Chen Zhan & Wenzhi Cui & Longjian Li, 2022. "A Fractal Model of Effective Thermal Conductivity of Porous Materials Considering Tortuosity," Energies, MDPI, vol. 16(1), pages 1-16, December.
    2. Mehrdad Massoudi, 2020. "Mathematical Modeling of Fluid Flow and Heat Transfer in Petroleum Industries and Geothermal Applications," Energies, MDPI, vol. 13(6), pages 1-4, March.

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