Crossover from anomalous to Fickean behavior in infiltration and reaction in fractal porous media

Reis, F. D. A. Aarão

doi:10.1016/j.advwatres.2019.103428

Cited by 2 publications

(1 citation statement)

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“…The results indicated that the pore structure and connectivity plays a significant role in the permeability of porous media with identical porosity. However, most of the available fractal models for the construction of porous media are based on self-similar structure such as the Sierpinski carpet [4,17,18] and Menger sponge [19] (i.e., the fractal dimension is constant), which fails to demonstrate the randomness of pore structure in porous media. Kikkinides et al [20] constructed a binary medium with both characteristics of randomness and statistical self-similarity based on the fractal Brownian motion (FBM).…”

Section: Introductionmentioning

confidence: 99%

Numerical study on permeability characteristics of fractal porous media*

Huang¹,

Yao²,

Zhou³

et al. 2020

Chinese Phys. B

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The fractal Brownian motion is utilized to describe pore structures in porous media. A numerical model of laminar flow in porous media is developed, and the flow characteristics are comprehensively analyzed and compared with those of homogeneous porous media. Moreover, the roles of the fractal dimension and porosity in permeability are quantitatively described. The results indicate that the pore structures of porous media significantly affect their seepage behaviors. The distributions of pressure and velocity in fractal porous media are both non-uniform; the streamline is no longer straight but tortuous. When Reynolds number Re < 1, the dimensionless permeability is independent of Reynolds number, but its further increase will lead to a smaller permeability. Moreover, due to the higher connectivity and enlarged equivalent aperture of internal channel network, the augment in porosity leads to the permeability enhancement, while it is small and insensitive to porosity variation when ε < 0.6. Fractal dimension also plays a significant role in the permeability of porous media. The increase in fractal dimension leads to the enhancement in pore connectivity and a decrease in channel tortuosity, which reduces the flow resistance and improves the transport capacity of porous media.

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