FUNDAMENTALS OF MATHEMATICAL MODELING OF GROUNDWATER FOR WATER MANAGEMENT AND PROTECTION PROBLEMS
Article Sidebar
Main Article Content
Abstract
Groundwater modeling is an effective and irreplaceable tool for water resource management, forecasting, and planning measures for their protection and restoration. Models represent a simplified description of complex hydrogeological systems, allowing researchers and specialists to analyze individual processes or predict the system's behavior in the future under various conditions. The main task is to simplify the real system without losing the accuracy and reliability of the results. An incorrectly constructed or incorrectly interpreted model can lead to erroneous conclusions and wasteful use of resources. Therefore, it is important to clearly define the goals of modeling and to correctly construct the conceptual model. The completeness and reliability of hydrogeological data play a key role. After the development of conceptual and numerical models, an important stage is calibration and verification, which allows us to verify the adequacy of the model to real conditions. This article examines the main stages and methodology of groundwater modeling, explaining each step. Various types of models and methods for their solution are briefly described, and an overview of typical difficulties and errors that may arise during the modeling process is provided.
Downloads
Article Details
Issue
Section
This work is licensed under a Creative Commons Attribution 4.0 International License.
Public License Terms
(For Open Journal Systems (OJS))
-
Copyright:
The copyright of the published article remains with the author(s). However, after publication, the article is distributed on the OJS platform under the Creative Commons (CC BY) license. -
License Type:
This article is distributed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. This means users can utilize the article under the following conditions:- Copy and distribute: The text of the article or its parts can be freely distributed.
- Quote and analyze: Parts of the article can be used for quoting and analysis.
- Free use: The article can be freely used for research and educational purposes.
- Attribution: Users must provide proper attribution and reference to the original source.
-
Commercial use:
The article can be used for commercial purposes, provided that authorship and source are properly cited. -
Document modification:
The text or content of the article can be modified or adapted, as long as it does not harm the authorship. -
Liability disclaimer:
The author(s) are responsible for the accuracy of the information contained in the article. The editorial team of the platform is not liable for any damages resulting from the use of this information. -
Public usage obligations:
The content of the article must be used only in accordance with legal and ethical standards. Unauthorized use is strictly prohibited.
Note:
These license terms are designed to ensure transparency and openness in material usage. By accepting these terms, you agree to the adaptation and distribution of the article content under the terms of the Creative Commons license.
Link: Creative Commons Attribution 4.0 International (CC BY 4.0)
How to Cite
References
[1] Bear, J. (1979). Hydraulics of groundwater. McGraw-Hill. Retrieved from https://archive.org/details/hydraulicsofground0000bear
[2] Reilly, T. E., & Harbaugh, A. W. (2004). Guidelines for evaluating ground-water flow models. U.S. Geological Survey. Retrieved from https://pubs.usgs.gov/sir/2004/5038 DOI: https://doi.org/10.3133/sir20045038
[3] Konikow, L. F., & Bredehoeft, J. D. (1992). Ground-water models cannot be validated. Advances in Water Resources. https://doi.org/10.1016/0309-1708(92)90008-X DOI: https://doi.org/10.1016/0309-1708(92)90033-X
[4] Franke, O. L., Reilly, T. E., & Bennett, G. D. (1987). Definition of boundary and initial conditions in the analysis of saturated ground-water flow systems. USGS Water-Resources Investigations Report 84–4369. Retrieved from https://pubs.usgs.gov/wri/1984/4369/report.pdf DOI: https://doi.org/10.3133/ofr84458
[5] Box, G. E. P., & Draper, N. R. (1987). Empirical model-building and response surfaces. John Wiley & Sons. Retrieved from https://archive.org/details/empiricalmodelbu0000boxg
[6] Olsthoorn, T. N. (1985). Aquifer management: Analytical and numerical methods. IAHS.
[7] Hill, M. C. (2006). Guidelines for effective model calibration. U.S. Geological Survey. Retrieved from https://pubs.usgs.gov/sir/2006/5079
[8] Жуманов, Ж. Х. (2008). Гидрогеологические расчёты подземных вод Узбекистана. Ташкент: Фан.
[9] Рахимов, Ш. А., & Юлдашев, Б. Б. (2014). Основы гидрогеологии: Учебное пособие. Ташкент: Университет.
[10] Юнусов, У. М., & Саидов, Н. К. (2011). Гидрогеология и инженерная геология Узбекистана. Ташкент: Узбекский научно-исследовательский институт геологии и минеральных ресурсов.
[11] Турсунов, С. Р. (2019). Рациональное использование подземных вод в условиях Узбекистана. Геоэкология, (3). Ташкент.
[12] Karimov, A. K., & Musaev, A. A. (2020). Математическое моделирование фильтрации подземных вод. Сборник трудов НИГМИ. Ташкент.
[13] Мирахмедов, Т. Д. (n.d.). Ресурсы и оценка запасов подземных вод. Retrieved from https://researchgate.net/publication/337293313_RESURSY_I_OCENKA_ZAPASOV_PODZEMNYH_VOD
[14] Холиқулов и др. (n.d.). Запасы подземных вод Узбекистана и их использование (на примере Чирчик-Ахангаранской долины). Retrieved from https://cyberleninka.ru/article/n/zapasy-podzemnyh-vod-uzbekistana-i-ih-ispolzovanie-na-primere-chirchik-ahangaranskoy-doliny/viewer