КАНАЛДАН ГРУНТГА СУЗИБ ЎТИШ НАТИЖАСИДА ҲОСИЛ БЎЛГАН СУВ САТҲИ ЎЗГАРИШ ЖАРАЁНИНИ МОДЕЛЛАШТИРИШ
Keywords:
channel, soil, filtration, groundwater, Darcy’s law, mathematical modeling, water levelAbstract
This article investigates the process of groundwater level variation caused by seepage from open channels into soil layers using mathematical and numerical modeling approaches. The interaction between the channel and the soil, along with the associated filtration process, is considered one of the key factors affecting changes in the water balance, groundwater level rise, and hydrogeological stability. Within the framework of the study, a system of differential equations based on Darcy’s law was formulated, initial and boundary conditions were defined, and numerical solutions were obtained using the finite difference method. The results were comparatively analyzed for different filtration coefficients and channel water levels. The findings are of practical importance for reliable prediction of groundwater levels around channels, reduction of water losses, and optimization of the management of hydraulic engineering structures.References
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13. Bouwer, H. (1978). Groundwater Hydrology. McGraw-Hill, New York.
14. Zheng, C., & Bennett, G. D. (2002). Applied Contaminant Transport Modeling. John Wiley & Sons, New York.
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2. Todd, D. K., & Mays, L. W. (2005). Groundwater Hydrology (3rd ed.). John Wiley & Sons, New York.
3. Rushton, K. R. (2003). Groundwater Hydrology: Conceptual and Computational Models. John Wiley & Sons, Chichester.
4. Wang, H. F., & Anderson, M. P. (1995). Introduction to Groundwater Modeling: Finite Difference and Finite Element Methods. Academic Press, San Diego.
5. Bear, J., & Cheng, A. H.-D. (2010). Modeling Groundwater Flow and Contaminant Transport. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6682-5
6. Freeze, R. A., & Cherry, J. A. (1979). Groundwater. Prentice-Hall, Englewood Cliffs, New Jersey.
7. Harr, M. E. (1962). Groundwater and Seepage. McGraw-Hill, New York.
8. Neuman, S. P. (1973). Saturated-unsaturated seepage by finite elements. Journal of the Hydraulics Division, 99(12), 2233–2250.
9. Polubarinova-Kochina, P. Ya. (1962). Theory of Groundwater Movement. Princeton University Press, Princeton.
10. Chanson, H. (2004). The Hydraulics of Open Channel Flow. Elsevier Butterworth-Heinemann, Oxford.
11. Celia, M. A., Bouloutas, E. T., & Zarba, R. L. (1990). A general mass-conservative numerical solution for the unsaturated flow equation. Water Resources Research, 26(7), 1483–1496. https://doi.org/10.1029/WR026i007p01483
12. Sophocleous, M. (2002). Interactions between groundwater and surface water: the state of the science. Hydrogeology Journal, 10, 52–67. https://doi.org/10.1007/s10040-001-0170-8
13. Bouwer, H. (1978). Groundwater Hydrology. McGraw-Hill, New York.
14. Zheng, C., & Bennett, G. D. (2002). Applied Contaminant Transport Modeling. John Wiley & Sons, New York.
15. Scanlon, B. R., Healy, R. W., & Cook, P. G. (2002). Choosing appropriate techniques for quantifying groundwater recharge. Hydrogeology Journal, 10, 18–39. https://doi.org/10.1007/s10040-001-0176-2.
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2025-12-29
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