Abstract
In the paper, a mathematical model for the filtration of two-component suspensions in a dual-zone porous medium is considered. The model consists of the mass balance equations, the kinetic equations for active and passive zones of porous medium for each component of the suspension and Darcy’s law. To solve the problem, a numerical algorithm for computer experimentation is developed on the basis of finite difference method. Based on numerical results, the main characteristics of suspension filtration in a porous medium are established. Influences of model parameters on transport and deposition of suspended particles of two-component suspension in porous media are analysed. It is shown that the polydispersity of suspension and multistage nature of the deposition kinetics can lead to various effects that are not characteristic for the transport of one-component suspensions with one-stage particle deposition kinetics. In particular, in distribution of the concentration of suspended particles in a moving fluid non-monotonic dynamics are obtained at individual points in the medium. It is shown that at the points of the medium near to the input section, the concentration of deposited particles can reach partial capacities in the passive zone.
Highlights
Many scientific and practical studies in such fields as fluid and gas mechanics, hydrogeology, and ecology lead to problems in the theory of filtration of inhomogeneous liquids
Cake filtration usually is used in the cases when the suspension has large particles with high concentration whereas deep bed filtration is used for low concentration suspension [5]
The system of filtration equations consists of the mass balance equation, the kinetics taking into account the dynamic factors in the active zones, multistage deposition formation in the passive zone for each component of the suspension and Darcy’s law
Summary
Many scientific and practical studies in such fields as fluid and gas mechanics, hydrogeology, and ecology lead to problems in the theory of filtration of inhomogeneous liquids. Trajectory analysis leads to significant progress in understanding the deposition process at the individual pore level, it is rather complicated This approach allows to quite successfully predicting the value of the filtration coefficient and the change in the concentration of deposited particles. We can find various types of kinetic equations, because there are many factors affecting the process of suspended particles transportation and deposition in porous medium such as particle size distribution [24,27,28,29], grain size distribution [28,29,30], hydrodynamic forces [30,31], temperature [32,33] and others. We formulate a problem of two component suspension filtration in a dual-zone porous medium with multistage deposition kinetics. Influences of suspension polydispersity, dynamical factors and other model parameter on filtration characteristics are studied
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