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FUNDAMENTALS OF MATHEMATICAL MODELING OF GROUNDWATER FOR WATER MANAGEMENT AND PROTECTION PROBLEMS

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Scientific and technical journal "Digital Technologies in Industry"

Scientific and technical journal "Digital Technologies in Industry"

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ARTICLE ANNOTATION

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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.

AUTHORS

R.Jumaboyev

Toshkent axborot texnologiyalari universiteti

Tags

# подземные воды# математическая модель# mathematical model# matematik model# sonli usullar# численные методы# groundwater# управление водными ресурсами# water resources management# numerical methods# yer osti suvlari# аналитические методы# suv resurslarini boshqarish# гидрогеология# hydrogeology# моделирование подземных вод# калибровка модели# верификация модели# защита подземных вод# gidrogeologiya# analitik usullar# modelni kalibrlash# modelni tekshirish# groundwater modeling# analytical methods# model calibration# model verification# groundwater protection

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Article Identifiers

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https://eroi.uz/11.0032/A0126-0064

DOI:

Not Available

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

[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

[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

[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

[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

[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

[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

[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