TWO-DIMENSIONAL MATHEMATICAL MODEL FOR MONITORING AND FORECASTING THE PROCESS OF IN-SITU LEACHING IN A POROUS MEDIUM

https://doi.org/10.5281/zenodo.17242067

Authors

  • Ravshanov N. Digital technologies and artificial intelligence research institute Author
  • Usmonov L. Digital technologies and artificial intelligence research institute Author

Keywords:

In-situ leaching, mathematical modeling, minerals, filtration, diffusion, kinetics, useful component

Abstract

This research paper investigates the hydrodynamic processes of in-situ leaching, with a focus on the acid-based extraction of valuable metals from ore deposits. A mathematical model, grounded in filtration-convection and diffusion principles relevant to underground leaching, has been formulated to facilitate a thorough understanding, monitoring, and prediction of system dynamics. The model accounts for the influence of hydrodynamic parameters, including the filtration coefficient and medium porosity, which are contingent on pressure conditions and process kinetics. The overarching goal of this study is to safeguard groundwater resources from potential contamination.

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References

Равшанов Н., Холматова И.И., Курбонов Н.М., Исламов Ю.Н. Математическое моделирование процесса подземного выщелачивания с учетом изменения гидродинамических параметров пористой среды //Проблемы вычислительной и прикладной математики № 2(56) 2024.

Alimov I., Pirnazarova T., and Kholmatova I. On a numerical method for solving the hydrodynamic problem of ISL // Journal of Physics: Conf. Series 1260 (2019) 102001

Ravshanov N., Usmonov L. Review of research on mathematical modeling of the process of in-situ leaching of mineral resources // International journal of theoretical and applied issues of digital technologies. 2024 №8(1).

Ravshanov N., Usmonov L. Kurbonov N. M. 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. 2024 №8(1).

Ravshanov N., Usmonov L. Multidimensional mathematical model for monitoring and forecasting the process of underground leaching in a porous medium // Problems of computational and applied mathematics. No. 2/2(66) 2025.

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Published

2025-09-27

Conference Proceedings Volume

Vol. 1 No. 3 (2025): Kompyuter ilmlari va muhandislik texnologiyalari. Xalqaro ilmiy-texnik anjuman 1-qism

Section

SECTION 1.

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Ravshanov , N., & Usmonov , L. (2025). TWO-DIMENSIONAL MATHEMATICAL MODEL FOR MONITORING AND FORECASTING THE PROCESS OF IN-SITU LEACHING IN A POROUS MEDIUM: https://doi.org/10.5281/zenodo.17242067. International Scientific and Practical Conference, 1(3), 55-59. https://bestjournalup.com/index.php/ispc/article/view/2013