Modeling of the nonlinear groundwater filtration process in a porous medium
Keywords:
mathematical model, finite difference method, dimensionless variables, groundwater, Boussinesq equation, filtrationAbstract
The article addresses the problem of numerical modeling of groundwater filtration processes, taking into account the influence of wells on the groundwater level. The considered nonlinear problem is transformed into a dimensionless form, and quasilinear transformations were used to obtain the numerical solution. The finite difference method was employed to obtain the numerical solution. An algorithm and software were developed to solve the problem numerically, and the results of numerical calculations based on the developed software are presented. The obtained results allow evaluating the impact of water intake wells on the groundwater level for various soil types. The research results have practical significance for optimizing the rational use of water resources, demonstrating that the location and discharge rate of water intake wells have a significant effect on groundwater levels.
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