Numerical and mathematical modeling of changes in groundwater levels in two-layer media
Abstract
The process of predicting changes in the levels of groundwater and pressure water and salt concentration in layers with good and poor conductivity is discussed in the article. Research and decision-making on this process using mathematical modeling is an urgent problem. A brief analysis of scientific papers devoted to mathematical and numerical modeling of the object under study is presented. To conduct a comprehensive study of the process under consideration, a model and an efficient numerical algorithm based on the finite difference method were developed. It has been studied that changes in the level of ground and pressure water, filtration permeability, water loss coefficient and filtration rate associated with the water level can have a serious impact on the environmental process. As follows from the analysis of the computational experiments, the main factors that significantly affect the filtration of ground and pressure waters and salt concentration are filtration conductivity in the layers, water loss coefficient, and filtration flow velocity in the layers. 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