Mathematical modeling of processes of changes in groundwater levels and their concentration in the environment under the influence of irrigation water.

Received: 2026-05-25

Published: 2026-06-06

Abstract

This article provides an in-depth analysis of the processes of groundwater level changes in irrigated areas under the influence of irrigation water. The proposed mathematical model takes into account the convection and diffusion phenomena of water, and determines the flow rate and concentration distribution of seepage water. The scientific novelty of the model is that it also takes into account the influence of such important factors as water salinity, temperature indicators, and soil moisture saturation. Also, the use of these parameters in determining the coefficient of water permeability of the environment significantly increased the accuracy of the model and the effectiveness of forecasting. The mathematical model created based on the results of the research expands the possibilities of effective management of irrigation systems, rational use of water resources and their economical distribution. In addition, the results obtained are of significant scientific and practical importance in ensuring environmental sustainability, proper planning of agrotechnical measures, and improving the reclamation condition of lands.

List of references

  1. Foster, T., Brozović, N., Butler, A.P.: Modeling irrigation behavior in groundwater systems. Water Resources Research 50(8), 6370–6389 (2014), doi: 10.1002/2014WR015620.

  2. Jalolov, O.I., Khayatov, Kh.U.: Algorithm for finding the norm of the error functional of a Hermite-type cubature formula in the Sobolev space. In: AIP Conference Proceedings, vol. 3004, 060038. AIP Publishing (2024).

  3. Sun, Y., Chen, X., Chen, X., Yang, L.: Modeling groundwater-fed irrigation and its impact on streamflow and groundwater depth in an agricultural area of Huaihe River Basin, China. Water 13(16), 2220 (2021).

  4. Tweed, S., et al.: Impact of irrigated agriculture on groundwater resources in a temperate humid region. Science of the Total Environment 613–614, 1302–1316 (2018), doi: 10.1016/J.SCITOTENV.2017.09.156.

  5. Jumayev, J., Mustapaqulov, Ya., Kuldashev, H.: Numerical algorithm for modeling turbulence in a jet with diffusion combustion. In: 14th International Conference on Application of Information and Communication Technologies (AICT 2020), pp. 1–4. IEEE (2020). DOI 10.1109/AICT50176.2020.9368857.

  6. Ismatullaev, G., Mirzakabilov, R.N., Karimov, R.S.:Cubature formulas in the parabolic domain. In: AIP Conference Proceedings, vol. 3004, 060040. AIP Publishing (2024).

  7. [Anonymous]: Impact of surface irrigation practices on groundwater level and water quality in North West Amhara Region, Ethiopia. Online resource, ResearchGate (accessed 2025).

  8. Essaid, H.I., Caldwell, R.R.: Evaluating the impact of irrigation on surface water–groundwater interaction and stream temperature in an agricultural watershed. Science of the Total Environment 599–600, 581–596 (2017).

  9. Shafiev, T., Bakaev, I., Eshankulov, K., Nazarov, S.: Creation of an information and analytical database based on an intelligent analysis system from online services for monitoring and forecasting the environmental condition of industrial areas. In: Proceedings of SPIE, vol. 13651, 136510U. SPIE, Bellingham (2025).

  10. A. A. Gning et al., mpacts of irrigation water on the hydrodynamics and saline behavior of the shallow alluvial aquifer in the Senegal River Delta. Water 13(3), 311 (2021).

  11. Abdumurodovich, Y.R., Tolqin o‘g‘li, M.B., To‘lqin o‘g‘li, X.N., Alisher o‘g‘li, A.E., Abdimuminovich, A.A.: Application of telecommunication and geoinformation support of groundwater monitoring in irrigated agriculture zones. In: International Conference on Information Science and Communications Technologies (ICISCT 2021), pp. 1–5. IEEE (2021).

  12. Jalolov, I.I., Jalolov, O.I.: An algorithm for constructing the Fourier transform of the func-tion to determine a discrete analog of a differential operator. Russian Mathematics 68(12), 45–56 (2024).

  13. Imomova, Sh., Amonova, N., Naimova, M., Xayrulloyeva, O‘.: Numerical solution of hy-perbolic equations using the finite element method for modeling dynamic systems. In: Fourth International Conference on Digital Technologies, Optics, and Materials Science (DTIEE 2025), Proceedings of SPIE, vol. 13662, 1366206. SPIE, Bellingham (2025).

  14. Eshankulov, K., Shafiev, T., Bakaev, I., Nazarov, S.: Architecture and data structures of the information monitoring and decision-making software suite for business intelligence. In: Proceedings of SPIE, vol. 13651, 1365107. SPIE, Bellingham (2025). https://doi.org/10.1117/12.3061943

About the Authors

Baxtiyor Murodullayev, Dilobar Haqnazarova, Jahongir To‘raqulov
Research Institute for the Development of Digital Technologies and Artificial Intelligence

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How to Cite

Mathematical modeling of processes of changes in groundwater levels and their concentration in the environment under the influence of irrigation water. (2026). MMIT Proceedings, 869-875. https://doi.org/10.61587/

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