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.
Z. Liu et al., "Establishment and Application of Fractal Capillary Tube Bundle Model of Porous Media," IOP Conference Series: Earth and Environmental Science, vol. 189, no. 3, Institute of Physics - IOP Publishing, Nov 2018.
The definitive version is available at https://doi.org/10.1088/1755-1315/189/3/032071
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
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Article - Conference proceedings
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01 Nov 2018