Рақамли технологияларнинг назарий ва амалий масалалари Volume 8 Issue 1 (2025) · pp. 144-157
Numerical algorithm for solving the problem of a nonlinear three-dimensional mathematical model for predicting changes in groundwater levels
Каримов, М.М., Яхшибоев, М.У.
Abstract
The article considers the problem of forecasting changes in groundwater levels using numerical methods based on a three-dimensional nonlinear mathematical model. The model takes into account factors affecting the dynamics of the aquifer - water intake wells, evaporation and other external sources. The model, based on differential equations, describes the movement of groundwater, and an algorithm for solving it using the alternating direction method is proposed. When performing numerical calculations, the model is initially expressed through dimensionless quantities, which is one of the ways to improve the convenience of obtaining calculation results. The calculation results allow us to estimate and predict changes in water levels under various conditions. This approach can be used for effective water resource management and the development of environmental monitoring systems.
математическая модельгрунтовые водыкоэффициент фильтрациисвободная водоотдачадебит скважиныинтенсивность испаренияинтенсивность инфильтрацииmathematical modelgroundwaterfiltration coefficient
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