CHARACTERISTICS OF PRESSURE IN MATHEMATICAL MODELING OF THE HYDRODYNAMIC PROCESS OF IN-SITU LEACHING TAKING INTO ACCOUNT THE CHANGE OF HYDRODYNAMIC PARAMETERS IN THE PORE ENVIRONMENT

Authors

  • Ravshanov N. 1 Автор
  • Usmonov L.S. 1 Автор

Abstract

This study is devoted to mathematical modeling of In-Situ leaching (ISL) and reagent-environment interactions in solution mining technology. The effectiveness of the ISL process directly depends on the correct description of the hydrodynamics, reactive transport and interphase mass transfer processes that occur within pore and fractured geologic domains.. In this work, these interrelated processes were brought to rigorous mathematical expressions based on the theory of multi-component and multi-phase reactive flows. In forming the model idea, the classical Darcy law for the pressure field, dispersion-diffusion equations for mass transport, as well as kinetic models describing the kinetics of interphase reactions were used. Computational experiments made it possible to analyze in depth the influence of parameters such as permeability anisotropy of geological layers, porosity coefficient, hydrostatic gradients, initial reagent concentration and current density on the mixing process. The results revealed fundamental laws regarding the geometry of the development of the reagent front, the radial and vertical evolution of the melting zone, the transformation of the chemical composition over time, and the collective strength of useful components. In particular, it was found that the increase in dispersion and the formation of local reactive zones in porous systems significantly modify the overall dynamics of the process. The results of the research provide a scientific basis for solving important engineering issues, such as optimal well location, reagent consumption minimization, jet transport safety limits, and ensuring stable operation of the field for the ISL technology. The proposed mathematical model is structurally universal and adaptable to various geochemical conditions; it serves as a robust platform for integration with real-time monitoring data and optimization of management strategies. 

 

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Published

2026-06-12

Issue

Vol. 2 No. 6 (2026)

Section

Статьи

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How to Cite

Ravshanov , N., & Usmonov, L. (2026). CHARACTERISTICS OF PRESSURE IN MATHEMATICAL MODELING OF THE HYDRODYNAMIC PROCESS OF IN-SITU LEACHING TAKING INTO ACCOUNT THE CHANGE OF HYDRODYNAMIC PARAMETERS IN THE PORE ENVIRONMENT . International Conference on Engineering & Technology, 2(6), 8-13. https://uniconflix.com/index.php/ICET/article/view/5281