Modeling the Process of Filtration of Fluid and Protection of Groundwater from Ionic Pollutants

The article deals with the problem associated with environmental protection, protection of groundwater from pollution sources, that is, the technology of ion-exchange filtration of liquid solutions from heavy ionic compounds emitted from production facilities and for a comprehensive study, a mathematical model and its approximate analytical solution describing a nonlinear system are presented. partial differential equations. In the work for the numerical integration of the problem, in order to suppress small-scale oscillations, a term of artificial viscosity is added with a certain numerical parameter -the coefficient of artificial viscosity, and the nonlinear terms of the equation are linearized by the Bellman-Kalaba quasi-linearization method. Since when filtering the suspension, the pores of the filter are filled with gel particles, the mathematical formulation of the problem takes into account the effect of ion exchange on the porosity and permeability of the ion exchange filter and gives the law of its change.

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