MATHEMATICAL MODELING OF THE HYDRODYNAMIC PROCESS OF IN-SITU LEACHING TAKING INTO ACCOUNT THE CHANGES HYDRODYNAMIC PARAMETERS IN A POROUS MEDIUM

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Published
2026-10-09
Issue
Vol. 4 No. 10 (2026): Innovative: International Multi-disciplinary Journal of Applied Technology
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Authors

  • Ravshanov N. UZ

    Digital technologies and artificial intelligence research institute, Tashkent, Uzbekistan

  • Usmonov L. UZ

    Digital technologies and artificial intelligence research institute, Tashkent, Uzbekistan
DOI
doi https://doi.org/10.51699/cw6yap21
Keywords:
In-situ leaching mathematical modeling minerals filtration diffusion kinetics useful component
Abstract
This sientific work examines the hydrodynamic processes pertinent to in-situ leaching, focusing on the extraction of precious metals from ore deposits through acid. A mathematical model, grounded in the principles of filtration-convection and diffusion characteristic of underground leaching, has been formulated to facilitate comprehensive analysis, monitoring, and prediction of system behavior. This model accounts for the influence of fluctuating hydrodynamic parameters, notably the filtration coefficient and medium porosity, which are contingent upon pressure levels and process kinetics. The main emphasis in this paper is on the variation of porosity as a function of pressure. Also, one of research objective is the protection of groundwater from potential contamination sources.
References

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[6] N. Ravshanov, L. Usmonov, and N. Kurbonov, ‘Mathematical model and numerical algorithm for the study of the hydrodynamic process of in-situ leaching’, International Journal of Theoretical and Applied Issues of Digital Technologies, vol. 8, no. 2, pp. 17–36, 2025, doi: 10.62132/ijdt.v8i1.226.

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[9] N. Ravshanov and L. S. Usmonov, ‘Mathematical modeling of the hydrodynamic process of underground leaching taking into account changes in the hydrodynamic parameters of a porous medium’, Problems of Computational and Applied Mathematics, no. 2, 2026.

[10] N. Ravshanov, I. I. Kholmatova, N. M. Kurbonov, and Yu. N. Islamov, ‘Mathematical modeling of the underground leaching process taking into account changes in the hydrodynamic parameters of a porous medium’, Problems of Computational and Applied Mathematics, no. 2(56), 2024.

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[13] L. Usmonov, ‘Three-dimensional mathematical model for in-situ leaching processes in porous media’, Bulletin of the Branch of the National Research Nuclear University MEPhI in Tashkent, no. 2, 2025.

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How to Cite

Ravshanov N., & Usmonov L. (2026). MATHEMATICAL MODELING OF THE HYDRODYNAMIC PROCESS OF IN-SITU LEACHING TAKING INTO ACCOUNT THE CHANGES HYDRODYNAMIC PARAMETERS IN A POROUS MEDIUM. Innovative: International Multidisciplinary Journal of Applied Technology (2995-486X), 4(10), 49-58. https://doi.org/10.51699/cw6yap21