The paper examines the hydrodynamic process of in-situ leaching, used for the ex traction of expensive metals from ore deposits by acid treatment of the collector. For a comprehensive study, monitoring and forecasting of the object, a mathematical model has been developed based on the filtration-convective and diffusion process of underground leaching, taking into account changes in the main hydrodynamic parameters, filtration coefficient and porosity of the medium, which depend on the level of pressure and kinetics of the process, as well as the protection of groundwater from sources pollution, which is the main objective of the study. Since the problem posed is described by a system of multidimensional quasilinear partial differential equations, obtaining an analytical solution is a difficult task. To solve the problem, the methods of flow and ordinary sweep using conservative difference schemes are used. Next, the two-dimensional problem is reduced to the form of a chain of one-dimensional problems and computational experiments are carried out on a computing cluster; the calculation results are presented in the form of graphs.
| Mualliflar | Ravshanov, N., Kholmatova, I.I., Kurbonov, N.M., Islamov, Yu.N., Равшанов, Н., Холматова, И.И., Курбонов, Н.М., Исламов, Ю.Н. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2024-05-22 |
| Son | 2 |
| Betlar | 72-84 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| Indeksga qo‘shilgan | 2026-08-27 |
in-ground leaching, mathematical modeling, minerals, filtration, diffusion, kinetics, useful component, подземное выщелачивание, математическое моделирование, полезные ископаемые, фильтрация, диффузия, кинетика, полезная компонента
| APA | Ravshanov, N., Kholmatova, I.I., Kurbonov, N.M., Islamov, Yu.N., Равшанов, Н., Холматова, И.И., Курбонов, Н.М., & Исламов, Ю.Н. (2024). MATHEMATICAL MODELING OF THE PROCESS OF UNDERGROUND LEACHING TAKEN INTO ACCOUNT OF CHANGES IN THE HYDRODYNAMIC PARAMETERS OF THE POROUS MEDIUM. Ҳисоблаш ва амалий математика муаммолари, (2), 72-84. https://journals.airi.uz/index.php/pvpm/article/view/15 |
|---|---|
| GOST (OAK) | Ravshanov, N. va b. MATHEMATICAL MODELING OF THE PROCESS OF UNDERGROUND LEACHING TAKEN INTO ACCOUNT OF CHANGES IN THE HYDRODYNAMIC PARAMETERS OF THE POROUS MEDIUM // Ҳисоблаш ва амалий математика муаммолари. – 2024. – № 2. – P. 72-84. |
| MLA | Ravshanov, N., Kholmatova, I.I., Kurbonov, N.M., Islamov, Yu.N., Равшанов, Н., Холматова, И.И., Курбонов, Н.М., and Исламов, Ю.Н. “MATHEMATICAL MODELING OF THE PROCESS OF UNDERGROUND LEACHING TAKEN INTO ACCOUNT OF CHANGES IN THE HYDRODYNAMIC PARAMETERS OF THE POROUS MEDIUM.” Ҳисоблаш ва амалий математика муаммолари, (2), 72-84, 2024. https://journals.airi.uz/index.php/pvpm/article/view/15 |
| Chicago | Ravshanov, N., Kholmatova, I.I., Kurbonov, N.M., Islamov, Yu.N., Равшанов, Н., Холматова, И.И., Курбонов, Н.М., and Исламов, Ю.Н. “MATHEMATICAL MODELING OF THE PROCESS OF UNDERGROUND LEACHING TAKEN INTO ACCOUNT OF CHANGES IN THE HYDRODYNAMIC PARAMETERS OF THE POROUS MEDIUM.” Ҳисоблаш ва амалий математика муаммолари, (2), 72-84 (2024). https://journals.airi.uz/index.php/pvpm/article/view/15 |
| Harvard | Ravshanov, N., Kholmatova, I.I., Kurbonov, N.M., Islamov, Yu.N., Равшанов, Н., Холматова, И.И., Курбонов, Н.М., and Исламов, Ю.Н (2024) ‘MATHEMATICAL MODELING OF THE PROCESS OF UNDERGROUND LEACHING TAKEN INTO ACCOUNT OF CHANGES IN THE HYDRODYNAMIC PARAMETERS OF THE POROUS MEDIUM’, Ҳисоблаш ва амалий математика муаммолари, (2), 72-84. https://journals.airi.uz/index.php/pvpm/article/view/15 |
| BibTeX | @article{ravshanovn2024,
title = {MATHEMATICAL MODELING OF THE PROCESS OF UNDERGROUND LEACHING TAKEN INTO ACCOUNT OF CHANGES IN THE HYDRODYNAMIC PARAMETERS OF THE POROUS MEDIUM},
author = {Ravshanov, N. and Kholmatova, I.I. and Kurbonov, N.M. and Islamov, Yu.N. and Равшанов, Н. and Холматова, И.И. and Курбонов, Н.М. and Исламов, Ю.Н.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2024},
number = {2},
pages = {72-84},
url = {https://journals.airi.uz/index.php/pvpm/article/view/15}
} |
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