Lithologic Reservoirs ›› 2021, Vol. 33 ›› Issue (3): 162-168.doi: 10.12108/yxyqc.20210317

• OIL AND GAS FIELD DEVELOPMENT • Previous Articles     Next Articles

Fractal model of effective gas diffusion coefficient based on permeability correction factor

WANG Changjin, ZHANG Sai, XU Jinglei   

  1. Faculty of Mechanical and Electrical Engineering, Kunming University of Science and Technology, Kunming 650500, China
  • Received:2020-06-10 Revised:2020-09-30 Published:2021-06-03

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Abstract: The phenomenon of gas diffusion in porous media is widespread in the fields of energy and environment，oil and gas reservoir engineering. The internal structure of real porous media is irregular and complex，and shows fractal characteristics within a certain scale. In order to explore the law of gas diffusion in porous media with fractal characteristics，the permeability correction factor and Fick's law were introduced to establish the functional relationships of effective gas diffusion coefficient with porous media structure parameters and gas parameters. The results show that the effective gas diffusion coefficient is proportional to the area fractal dimension of porous media，porosity，and maximum pore diameter，and inversely proportional to tortuous fractal dimension， gas molar mass and gas density. By comparing the effective gas diffusion coefficient predicted by fractal model with the experimental data，it can be found that the model based on permeability correction factor is more consistent with the experimental data. The new fractal model of gas diffusion coefficient can correctly describe the law of gas diffusion in porous media， which has reference significance for the development of oil and gas fields.

Key words: gas diffusion, permeability correction factor, fractal model, Fick's law

CLC Number: 

  • TE311
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