Modeling of Fine Migration in a Porous Medium

Abstract

Abstract. The structure of underground waters and water permeability of rocks must be taken into account when choosing the location of construction objects, the design of tunnels, hydraulic and underground structures. The model of filtration for suspension in solid porous medium during its displacement with clean water is considered. The numerical calculation of boundary of two phases is carried out and concentrations of suspended and retained particles are calculated for different values of porosity and permeability of the porous medium.

Calculation of the particles transfer in a porous medium

“…Substituting the terms (12), (19) -(21) into the expansions (14) and performing an inverse change of variables, we obtain the asymptotics of problem (1) - (4) …”

“…Analytic and numerical solutions of the classical filtration problem are known [3][4][5][6][7][8][9]. Models with a complicated equation of mass balance take into account the change in porosity and permeability porous medium when forming a deposit [10][11][12][13][14].…”

Modeling of filtration of 2-types particles suspension in a porous medium

“…In the general case, the analytical solution is absence and numerical calculations are carried out [18,19]. In this paper, the mobile boundary of two zones is computed numerically and numerical solution of the problem is obtained.…”

Calculation of the Filtration Problem at the Filter Inlet

“…В ряде случаев для данной модели найдены точные решения [8][9][10][11]. При отсутствии точного решения строятся асимптотики, позволяющие при-ближенно моделировать задачу [12][13][14], и выполняются численные расчеты [15][16][17]. При периодической закачке суспензии в по-ристую среду в порах происходит накопле-ние осадка.…”