Multi-fluid model of suspension filtration in a porous medium

被引:15
作者
Boronin, S. A. [1 ]
Osiptsov, A. A. [1 ]
Tolmacheva, K. I. [1 ,2 ]
机构
[1] Moscow Res Ctr Schlumberger Co, Moscow 125171, Russia
[2] Moscow MV Lomonosov State Univ, Moscow 119991, Russia
关键词
filtration; suspension; three-fluid approach; concentration; particle trapping; particle; DEEP-BED FILTRATION; PARTICULATE INVASION; FLOW;
D O I
10.1134/S0015462815060058
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In the framework of a three-fluid approach, a new model of suspension filtration in a porous medium is constructed with account for the formation of a dense packing of trapped particles with finite permeability and porosity. The following three continua are considered: the carrier fluid, the suspended particles, and the deposited particles. For a one-dimensional transient flow of suspension, a system of equations for the concentrations of the suspended and deposited particles, the suspension velocity, and the pressure is constructed. Two cases of the flow in a porous medium are considered: plane and radial. Numerical solution is found using a finite-difference method. Numerical calculations are shown to be in agreement with an analytical solution for the simplest case of filtration with a constant velocity and constant porosity and permeability. A comparison is performed with the classic filtration models for five sets of experimental data on the contamination of a porous sample. It is shown that near the inlet boundary, where an intense deposition of particles takes place, the new model describes the concentration profile of the deposited particles more accurately than the classical model.
引用
收藏
页码:759 / 768
页数:10
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