Mathematical model and numerical algorithm for studying suspension filtration in a porous medium considering the processes of colmatation and suffusion

Abstract

Abstract Solution of an urgent problem related to technological process of filtering and dehydration of liquid solutions from fine particles and undesirable ionic compounds is discussed in the paper. There was developed a mathematical model and numerical algorithm taking into account the key factors and parameters that significantly affect considered processes. The problems related to the determination of the key parameters and their variation ranges are solved in the paper. Based on the analysis of conducted numerical experiments, the conclusions are formulated that serve as the basis for making appropriate management decisions.