Abstract
The mechanism of dispersion of substances dissolved in a fluid as it moves through a porous medium (filtration dispersion) is examined and it is noted that the dispersion is mainly determined by the repeated division and coalescence of the threads in the pores. Considering the analogy between the space-time nonuniformity of the fluid velocity field for laminar motion in a porous medium and for turbulent motion in a channel, and also bearing in mind the effectiveness of the finite-velocity diffusion model for calculating turbulent diffusion, it is recommended that filtration dispersion be described on the basis of that model. A system of equations describing the dispersion of substances in a porous medium formed as a result of the hexagonal and cubic close packing of spheres of the same diameter is obtained. The results of a numerical solution for the two-dimensional and three-dimensional steady-state problems are presented. Simplified systems of equations that considerably reduce the computation time are proposed.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 120–129, November–December, 1988.
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Girgidov, A.D. Description of filtration dispersion on the basis of the finite-velocity diffusion model. Fluid Dyn 23, 901–909 (1988). https://doi.org/10.1007/BF01051827
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DOI: https://doi.org/10.1007/BF01051827