Model of Aquifer-Level Changes Based on Evaporation Intensity and Infiltration Coefficient

Abdinabi Mukhamadiyev () and Marat Karimov ()
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Abdinabi Mukhamadiyev: Department of Computer Engineering, Gachon University, Sujeong-gu, Seongnam-si 13120, Republic of Korea
Marat Karimov: Research Institute for the Development of Digital Technologies and Artificial Intelligence, 17A, Buz-2, Tashkent 100125, Uzbekistan

Mathematics, 2025, vol. 13, issue 16, 1-21

Abstract: Developing improved mathematical and numerical models of groundwater flow is crucial for monitoring and forecasting water resources. Most existing models are linear and fail to capture the complex physical processes involved in groundwater dynamics. This study aims to develop a nonlinear mathematical model for observing and forecasting changes in groundwater levels influenced by water intake wells, evaporation, and precipitation. The proposed mathematical model is formulated as a nonlinear differential equation. To solve this model, it was reduced to a dimensionless form, and the quasi-linearization method was employed to simplify the calculations. The finite difference method was then used to obtain a numerical solution. An algorithm and software were developed to demonstrate the results of the calculations. Numerical calculations performed using the developed software provide insights into the effects of water intake wells, surface evaporation, and precipitation on groundwater levels. The findings of this study hold practical significance for optimizing the sustainable use of water resources and highlighting how the location and flow rate of water intake wells impact groundwater levels.

Keywords: groundwater; filtration; quasi-linearization method; porous medium; evaporation; precipitation; alternating-direction implicit method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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