In view of the problem of statistical regression constant in the model of capillary tube bundles in the porous media, a capillary bundle percolation model with fractal geometry was reconstructed. The function expressions of the fractal coefficient and Kozeny constant were deduced. The relationship between the macroscopic fractal properties of porous media and the fractal dimension and the micro pore parameters were obtained. Results show: Fractal coefficient is a function of fractal dimension, maximum pore radius and minimum pore radius; The macroscopic physical properties of porous media are a function of the fractal dimension and the radius of the capillary (the maximum capillary radius and the minimum capillary radius). The expression does not contain any empirical or experimental constants. In the fractal capillary percolation model, the relationship between the three kinds of surface volume, skeleton volume and pore volume are the same as the traditional equal diameter straight capillary bundle model. The Kozeny constant can be accurately described by the function expression of the z-h coefficient, which is used for correcting the difference between real and ideal porous media model.

Meeting Name

2018 International Conference on Civil and Hydraulic Engineering, IConCHE 2018 (2018: Nov. 23-25, Qingdao, China)


Geosciences and Geological and Petroleum Engineering

Keywords and Phrases

Capillary tubes; Hydraulic structures; Hydraulics; Percolation (solid state); Porous materials; Shore protection; Solvents, Capillary bundle models; Capillary radius; Fractal geometry; Fractal properties; Kozeny constant; Percolation models; Statistical regression; Surface volume, Fractal dimension

International Standard Serial Number (ISSN)

1755-1307; 1755-1315

Document Type

Article - Conference proceedings

Document Version

Final Version

File Type





© 2018 Institute of Physics - IOP Publishing, All rights reserved.

Creative Commons Licensing

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

Publication Date

01 Nov 2018