Mathematical modeling of salt concentration change process in two-layer aqueous media

Abstract

A mathematical model was developed to monitor and predict changes in salt concentration in groundwater in a two-layer environment, representing the process of salinization and swamping. A qualitative analysis of scientific research on the problem is provided. Since the process is represented by a differential equation, effective numerical computational algorithms were developed to solve the problem of salt concentration change in groundwater based on a stable disclosure scheme with high-order accuracy relative to time and spatial variables. Mathematical models of salt transport during geo-filtration processes were improved, and computational algorithms were developed, taking into account such important parameters as the physical and mechanical properties: water loss coefficient, diffusion coefficients, and filtration rates depending on the water level. The results obtained based on these developed numerical algorithms were analyzed. Before introducing new technologies, recommendations were developed to predict changes in salt content in water using an effective numerical algorithm. Based on the laws of motion of wastewater flows, it was noted that it is possible to conduct experiments using algorithms to determine the changes in distance and velocity of wastewater propagation with water-soluble chemicals and active properties in soil layers.