Asymptotic model for deep bed filtration

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.

Section: Introductionmentioning

confidence: 99%

Modeling of Fine Migration in a Porous Medium

Galaguz

Safina

2016

“…In a modified filtration model the porosity and permeability of the filter decrease with increasing deposit. Exact and asymptotic solutions of this problem are obtained in [5][6][7][8][9]. Examples of numerical calculation see in [10].…”

Section: Introductionmentioning

confidence: 99%

Calculation of filtration of polydisperse suspension in a porous medium

Кузьмина

Osipov

2016

Self Cite

Abstract. The problem of filtering the suspension in a porous medium is considered. The proposed model for the transport of particles of different sizes is a generalization of deep bed filtration model for a monodisperse suspension with size-exclusion particle capture mechanism. Exact and asymptotic solutions are constructed at the filter inlet and on the concentration front of the suspended and retained particles. Numerical calculation for a suspension with 2-size particles shows that the distribution of deposit in the filter depends on the particle size.

“…For some filtration models, the exact solutions are obtained or the asymptotic formulas are constructed [11][12][13][14][15][16][17]. In the general case, the analytical solution is absence and numerical calculations are carried out [18,19].…”

Section: Introductionmentioning

confidence: 99%

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

Galaguz

Safina

2017

Abstract. The filtration problem describes the process of concreting loose soil with a liquefied concrete solution. The filtration of 2-types particles suspension in a homogeneous porous medium with a size-exclusion particles retention mechanism is considered. The difference in the filtration coefficients of 2-types particles leads to the separation of the filtration domain into two zones, in one of which two types of particles are deposited and in another -only particles of one type are deposited. In this paper, the mobile boundary of two zones is calculated, and numerical solution of the problem is calculated.