Mathematical Model of Suspension Filtration in a Dual-Zone Porous Medium Taking Into Account the "Charging" Effect in Both Zones


Bakhtiyor Khuzhayorov*, Bekzodjon Fayziev, Tulkin Begmatov


Department of Mathematical Modeling, Samarkand State University, University blv. 15, Samarkand сity, 140104, Uzbekistan.

Corresponding Author Email: [email protected]

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In the paper a mathematical model of the suspension filtration process in a porous medium, consisting of active and passive zones, taking into account the “charging” effect is compiled. The kinetic equations of particle deposition are generalized taking into account the “charging” effect in both zones. Based on this model, the filtration problem was formulated and numerically solved using finite difference method. The effect of changes in the kinetics of particle deposition on filtration characteristics was analyzed. The role of the “charging” effect on the general process of suspended particles transport has been established. It is shown that in profiles of concentration two zones are formed: one is before “charging” and the other is after. In these zones, filtration characteristics have different rates of change.