Developing Mathematical Models to Study Changes in Groundwater Levels and Salt Concentration

Kattakurgan branch of Samarkand State University, 104814, Uzbekistan

^* Corresponding author: daliyev.sherzod@mail.ru

Abstract

Understanding how groundwater and salt concentrations change when freshwater supplies are monitored is crucial. In this work, groundwater fluxes and salt migration were considered when studying groundwater level changes and mineralisation processes. To study salt and water level changes, a more realistic mathematical model was developed to reflect the object’s basic features. To monitor geofiltration and geomigration using mathematical and numerical modelling to provide recommendations, nonlinear differential equations were applied. Scientific research on mathematical and numerical modelling and computer experimentation of the issue is briefly reviewed. Also developed were a mathematical model with two integer-valued boundary conditions and an efficient finite difference numerical approach. Changing groundwater and pressure water levels, filtration permeability, water loss coefficient, and filtration rate connected to water level all affect the environment when building a mathematical model for salt migration filtration. The article predicts groundwater, pore water, and salt concentrations in high- and low- permeability layers. Scientific research on mathematical and numerical modelling and computer experimentation of the issue is briefly reviewed. Also developed were a mathematical model with two integer-valued boundary conditions and an efficient finite difference numerical approach. Changing groundwater and pressure water levels, filtration permeability, water loss coefficient, and filtration rate connected to water level all affect the environment when building a mathematical model for salt migration filtration. This study considered soil density, active porosity, and third-order boundary conditions Open, unlike earlier studies. Since the problem is represented by nonlinear differential equations with free variables, analytical solutions are unattainable. An effective numerical method and a stable implicit system with high-accuracy approximation, finite difference approach, and forward and backward sweep approaches were given to overcome these challenges.