In the paper developed and numerically solved the problem of solute transport in a porous medium consisting of active and passive zones, taking into account the multi-stage nature of adsorption kinetics. A mathematical model of the process is compiled based on general conservation laws and additional phenomenological assumptions. The influence of initial conditions on the characteristics of transfer and adsorption is analyzed. The results of numerical modeling are presented, confirming the influence of system parameters on the concentration dynamics in the active and passive zones. TThe obtained results can be used to predict the spread of pollutants in underground reservoirs and develop strategies for its control.
| Mualliflar | Khuzhayorov, B.Kh., Fayziev, B.M., Sagdullaev, O.K., Хужаёров, Б.Х., Файзиев, Б.М., Сагдуллаев, О.К. |
|---|---|
| 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 | 2025-05-15 |
| Son | 2 |
| Betlar | 5-16 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.71310/pcam.2_64.2025.01 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.2_64.2025.01 · Maqolaning asl sahifasi
adsorption, finite differences, mathematical model, multistage kinetics, porous medium, адсорбция, конечные разности, математическая модель, многоступенчатая кинетика, пористая среда
| APA | Khuzhayorov, B.Kh., Fayziev, B.M., Sagdullaev, O.K., Хужаёров, Б.Х., Файзиев, Б.М., & Сагдуллаев, О.К. (2025). Mathematical model of transport of degrading substance in a two-zone porous medium. Ҳисоблаш ва амалий математика муаммолари, (2), 5-16. https://doi.org/10.71310/pcam.2_64.2025.01 |
|---|---|
| GOST (OAK) | Khuzhayorov, B.Kh. va b. Mathematical model of transport of degrading substance in a two-zone porous medium // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 2. – P. 5-16. – DOI: 10.71310/pcam.2_64.2025.01. |
| MLA | Khuzhayorov, B.Kh., Fayziev, B.M., Sagdullaev, O.K., Хужаёров, Б.Х., Файзиев, Б.М., and Сагдуллаев, О.К. “Mathematical model of transport of degrading substance in a two-zone porous medium.” Ҳисоблаш ва амалий математика муаммолари, (2), 5-16, 2025. https://doi.org/10.71310/pcam.2_64.2025.01 |
| Chicago | Khuzhayorov, B.Kh., Fayziev, B.M., Sagdullaev, O.K., Хужаёров, Б.Х., Файзиев, Б.М., and Сагдуллаев, О.К. “Mathematical model of transport of degrading substance in a two-zone porous medium.” Ҳисоблаш ва амалий математика муаммолари, (2), 5-16 (2025). https://doi.org/10.71310/pcam.2_64.2025.01 |
| Harvard | Khuzhayorov, B.Kh., Fayziev, B.M., Sagdullaev, O.K., Хужаёров, Б.Х., Файзиев, Б.М., and Сагдуллаев, О.К (2025) ‘Mathematical model of transport of degrading substance in a two-zone porous medium’, Ҳисоблаш ва амалий математика муаммолари, (2), 5-16. https://doi.org/10.71310/pcam.2_64.2025.01 |
| BibTeX | @article{khuzhayorovbkh2025,
title = {Mathematical model of transport of degrading substance in a two-zone porous medium},
author = {Khuzhayorov, B.Kh. and Fayziev, B.M. and Sagdullaev, O.K. and Хужаёров, Б.Х. and Файзиев, Б.М. and Сагдуллаев, О.К.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2025},
number = {2},
pages = {5-16},
doi = {10.71310/pcam.2_64.2025.01},
url = {https://doi.org/10.71310/pcam.2_64.2025.01}
} |
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