Numerical Modeling of Groundwater Filtration Taking into Account Seasonal Changes in a Two-Layer Medium
Annotatsiya
This paper presents a numerical simulation of groundwater filtration processes in a dynamically interconnected two-layer porous medium. The study takes into account the interaction of two layers, uneven distribution of water flow, and changes in hydrogeological parameters over time. The finite difference method and quasi-linearization methods were used to numerically solve the system of equations, and an algorithm developed based on the iteration and Thomas algorithm was used to solve the system of nonlinear equations. During the calculation, the boundary and initial conditions were transformed into a special discrete form to obtain stable and accurate values. Computational experiments were also conducted to assess the effect of permeability changes in the low-permeability layer on the dynamics of the groundwater level. The results show that a low permeability coefficient significantly reduces the drop in groundwater level, which is especially noticeable in the area of the injection well. The study was conducted in the MatLab programming environment, and a numerical solution of the boundary value problem was constructed to verify the reliability of the results. The numerical results were visually presented in the form of three-dimensional graphs, which allowed for an effective analysis of the zones of decrease and increase in water level. This approach once again emphasized the scientific significance and practical application of the model.