Some Model of a Suspension Filtration in a Porous Media That Accounts for the Two-Zone and Multistage Character of Deposition Kinetics

Abstract: The problem of suspension filtration in a porous medium consisting of active and passivezones is posed and numerically solved in the case of a multistage kinetics of particle deposition.Some mathematical model of the process is proposed that is based on the general conservationlaws and additional phenomenological assumptions. The influence of the multistage kineticsof particle deposition on the filtration characteristics is considered. We establish that, as theparameter characterizing the duration of the stage of formation of the irreversible depositionincreases, a region with complete saturation of the passive zone capacity appears near the filterinlet. No further increase of the deposition concentration in the passive zone is observed, while theprocess of particles movement in suspension and deposition of them in the active zone continues. © 2020, Pleiades Publishing, Ltd.