Mathematical Model and Numerical Algorithm for the Study of the Hydrodynamic Process of In-Situ Leaching

Равшанов, Н., Усмонов, Л., Курбонов, Н.М.

Рақамли технологияларнинг назарий ва амалий масалалари · 2025-yil

Annotatsiya

This article presents a mathematical model and numerical algorithms for solving a three-dimensional fluid filtration problem in a porous medium, using the hydrodynamic process of in-situ leaching (ISL) as an example. The developed mathematical framework enables a comprehensive analysis of ore body development parameters, optimal placement of injection and production wells, estimation of fluid flow rates, and consideration of groundwater protection from contamination sources. Since the formulated problem is described by a system of multidimensional quasilinear partial differential equations, obtaining an analytical solution is challenging. For numerical integration, an algorithm based on a finite-difference scheme with component-wise splitting and streamline sweeping methods is constructed. The proposed mathematical approach can serve as an effective tool for analyzing and forecasting the parameters of ore deposit development and mineral extraction.

Maqola ma’lumotlari
MualliflarРавшанов, Н., Усмонов, Л., Курбонов, Н.М.
JurnalРақамли технологияларнинг назарий ва амалий масалалари
NashriyotТАТУ Самарқанд филиали
ISSN2181-3086, 2181-3094
Nashr sanasi2025-07-25
Jild8
Son2
Betlar17-36
TilIngliz
Ilmiy sohaTexnika
DOI10.62132/ijdt.v8i2.260
Indeksga qo‘shilgan2026-08-26

DOI: 10.62132/ijdt.v8i2.260 · Maqolaning asl sahifasi

Kalit so‘zlar

подземное выщелачивание, математическое моделирование, фильтрация, диффузия, кинетика, полезная компонента, численные методы, in-situ leaching, mathematical modeling, filtration, diffusion, kinetics, valuable component, numerical methods

Ilmiy soha

Texnika

Iqtibos keltirish

APAРавшанов, Н., Усмонов, Л., & Курбонов, Н.М. (2025). Mathematical Model and Numerical Algorithm for the Study of the Hydrodynamic Process of In-Situ Leaching. Рақамли технологияларнинг назарий ва амалий масалалари, 8(2), 17-36. https://doi.org/10.62132/ijdt.v8i2.260
GOST (OAK)Равшанов, Н., Усмонов, Л., Курбонов, Н.М. Mathematical Model and Numerical Algorithm for the Study of the Hydrodynamic Process of In-Situ Leaching // Рақамли технологияларнинг назарий ва амалий масалалари. – 2025. – T. 8, № 2. – P. 17-36. – DOI: 10.62132/ijdt.v8i2.260.
MLAРавшанов, Н., Усмонов, Л., and Курбонов, Н.М. “Mathematical Model and Numerical Algorithm for the Study of the Hydrodynamic Process of In-Situ Leaching.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(2), 17-36, 2025. https://doi.org/10.62132/ijdt.v8i2.260
ChicagoРавшанов, Н., Усмонов, Л., and Курбонов, Н.М. “Mathematical Model and Numerical Algorithm for the Study of the Hydrodynamic Process of In-Situ Leaching.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(2), 17-36 (2025). https://doi.org/10.62132/ijdt.v8i2.260
HarvardРавшанов, Н., Усмонов, Л., and Курбонов, Н.М (2025) ‘Mathematical Model and Numerical Algorithm for the Study of the Hydrodynamic Process of In-Situ Leaching’, Рақамли технологияларнинг назарий ва амалий масалалари, 8(2), 17-36. https://doi.org/10.62132/ijdt.v8i2.260
BibTeX
@article{article2025,
  title = {Mathematical Model and Numerical Algorithm for the Study of the Hydrodynamic Process of In-Situ Leaching},
  author = {Равшанов, Н. and Усмонов, Л. and Курбонов, Н.М.},
  journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
  year = {2025},
  volume = {8},
  number = {2},
  pages = {17-36},
  doi = {10.62132/ijdt.v8i2.260},
  url = {https://doi.org/10.62132/ijdt.v8i2.260}
}

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