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.
| Mualliflar | Karimov, M.M., Karshiev, D.A., Каримов, М.М., Каршиев, Д.А. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2025-01-07 |
| Son | 6 |
| Betlar | 23-33 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| Indeksga qo‘shilgan | 2026-08-27 |
mathematical model, finite difference method, dimensionless variables, groundwater, Boussinesq equation, filtration, математическая модель, конечно-разностный метод, безразмерные переменные, подземные воды, уравнения Буссинеска, фильтрация
| APA | Karimov, M.M., Karshiev, D.A., Каримов, М.М., & Каршиев, Д.А. (2025). Modeling of the nonlinear groundwater filtration process in a porous medium. Ҳисоблаш ва амалий математика муаммолари, (6), 23-33. https://journals.airi.uz/index.php/pvpm/article/view/82 |
|---|---|
| GOST (OAK) | Karimov, M.M. va b. Modeling of the nonlinear groundwater filtration process in a porous medium // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 6. – P. 23-33. |
| MLA | Karimov, M.M., Karshiev, D.A., Каримов, М.М., and Каршиев, Д.А. “Modeling of the nonlinear groundwater filtration process in a porous medium.” Ҳисоблаш ва амалий математика муаммолари, (6), 23-33, 2025. https://journals.airi.uz/index.php/pvpm/article/view/82 |
| Chicago | Karimov, M.M., Karshiev, D.A., Каримов, М.М., and Каршиев, Д.А. “Modeling of the nonlinear groundwater filtration process in a porous medium.” Ҳисоблаш ва амалий математика муаммолари, (6), 23-33 (2025). https://journals.airi.uz/index.php/pvpm/article/view/82 |
| Harvard | Karimov, M.M., Karshiev, D.A., Каримов, М.М., and Каршиев, Д.А (2025) ‘Modeling of the nonlinear groundwater filtration process in a porous medium’, Ҳисоблаш ва амалий математика муаммолари, (6), 23-33. https://journals.airi.uz/index.php/pvpm/article/view/82 |
| BibTeX | @article{karimovmm2025,
title = {Modeling of the nonlinear groundwater filtration process in a porous medium},
author = {Karimov, M.M. and Karshiev, D.A. and Каримов, М.М. and Каршиев, Д.А.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2025},
number = {6},
pages = {23-33},
url = {https://journals.airi.uz/index.php/pvpm/article/view/82}
} |
Boshqa maqola uchun iqtibos tayyorlash
This study examines the annotation of documents with respect to semantic roles. The data for thematic models is formed based on the standard bag-of-words hypothesis. The question of the number and uniqueness of themes…
This article provides an advanced control model for controlling the temperature and water level in smart home systems. The proposed model combines adaptive splines, Kalman filters, a dynamically adjustable PID…
His study analyses chlorophyll indices in plants as indicators of the presence of phytopathogens and abiotic stress. Special attention is given to the identification of early signs of strawberry spider mite infestation…
The IP-based rail transpot network lists the radio communication Reliability Index and methodology for its calculation. In general, the use of the classical graph-probability method for calculating the reliability of an…
This paper presents a mathematical model and a numerical algorithm designed for monitoring and forecasting the ecological conditions of the near-surface atmospheric layer. The model accounts for weather and climate…
This study analyzes the level of atmospheric air pollution in the city of Tashkent, focusing on the annual dynamics of pollutant emissions from stationary sources and the content of particulate matter PM10 and PM2.5. In…
This article presents a scientific study of seismic oscillations and Rayleigh wave propagation models. The research details how Rayleigh waves propagate in a semi-infinite elastic medium, the types of motions they…
In the modern world, the problem of storing grain crops and their processed products plays a vital role in ensuring food security. One of the key aspects of preserving grain quality is monitoring heat and moisture…
The mathematical model of the cleaning process of a cylindrical device operating on centrifugal force, describing the movement of particles and their resistance coefficients, is presented in the form of a system of…
The paper studies the process of wet deposition of radioactive impurities, including their interaction with rain, snow, and fog. Mathematics models describing the deposition process are presented based on data from the…
Ҳисоблаш ва амалий математика муаммолари — barcha maqolalar · 2025-yil arxivi
This article covers the nature of rock pressure formed in underground workings, its influence on the stability of workings, and the issues of determining calculation methods. The mechanism of dangerous processes, such…
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…
In this article, descriptions of partial fractional derivatives in the sense of Riemann-Liouville and Caputo, brief descriptions of the literature describing a number of methods for obtaining approximate solutions to…
This article presents the results of 2018-2023, such as biological diversity, inter-landscape distribution characteristics, density,and number of straggly insects identified from natural and anthropogenic areas of…
This article observational data on the species composition, distribution, population, density, and seasonal damage caused causedby herbivorus bugs. Observationes were carried out in April and September 2021. When…
In the article, the research fields of some species belonging to Paeonia, their significance in human life, adaptation features tovarious ecological conditions are highlighted, and the ecologist groups and other…
This article studies the number of species, population density of terrestrial mollusks of the Topalangdarya basin, located in theSurkhandarya region of Uzbekistan, in various altitudinal regions and biotopes and…
This article sheds light on changes in biomass formation and antimicrobial activity against test pathogenic strains under theinfluence of epigenetic modifiers and elicitors of the endophytic fungus Penicillium…
Shahimardonsoy covered issues such as the soil in the river basin and measures to increase its condition, salinity and fertility, theflora and fauna present in the basin landscape and their conservation.