The fractal permeability model for spherical seepage in the porous media
WANG Shifang1， WU Tao2， XIA Kun1
1.Department of Physics and Mechanical & Electrical Engineering， Hubei University of Education， Wuhan 430205；2.Hubei Key Laboratory of Optical Information and Pattern Recognition， School of Mathematics and Physics， Wuhan Institute of Technology， Wuhan 430205， China
Abstract：Based on the fractal theory， the spherical seepage for Newtonian fluids in porous media is investigated. The permeability model for spherical seepage in porous media is developed in this paper. The effect of microstrucural parameters of porous media on the permeability is analyzed. The results show that the radial permeability for spherical seepage in the porous media increases with the increases of the pore area fractal dimension and the porosity， and decreases with the increases of the tortuosity fractal dimension and the radial distance. We also compare our permeability model for spherical seepage with Chang and Yortso's model. A good agreement is obtained between them.
王世芳,吴 涛,夏 坤. 多孔介质球向渗流的渗透率分形模型[J]. 华中师范大学学报(自然科学版), 2020, 54(1): 45-49.
WANG Shifang,WU Tao,XIA Kun. The fractal permeability model for spherical seepage in the porous media. journal1, 2020, 54(1): 45-49.
2020, Vol. 54 
