The gas filtration in complex porous media with stagnant zones
| dc.citation.epage | 185 | |
| dc.citation.issue | 1 | |
| dc.citation.spage | 179 | |
| dc.contributor.affiliation | Центр математичного моделювання Iнституту прикладних проблем механiки i математики iм. Я. С. Пiдстригача НАН України | |
| dc.contributor.affiliation | Lviv Center of Mathematical Modeling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine | |
| dc.contributor.author | П’янило, Я. Д. | |
| dc.contributor.author | Браташ, О. Б. | |
| dc.contributor.author | Pyanylo, Ya. D. | |
| dc.contributor.author | B, Bratash O. | |
| dc.date.accessioned | 2023-03-06T12:28:17Z | |
| dc.date.available | 2023-03-06T12:28:17Z | |
| dc.date.created | 2020-01-01 | |
| dc.date.issued | 2020-01-01 | |
| dc.description.abstract | У роботi моделюється процес фiльтрацiї газу в пористому середовищi залежно вiд його структури. Наявнiсть пор рiзних розмiрiв зумовлює утворення протiчних i застiйних зон, якi впливають як на розподiл тиску в середовищi, так i на масу активного газу. Отриманi результати дають можливiсть визначити частку об’єму протiчних зон та коефiцiєнт обмiну мiж протiчними та застiйними зонами. | |
| dc.description.abstract | The process of gas filtration in a porous medium depending on its structure is modeled in the paper. The presence of pores of various sizes leads to the formation of flow and stagnation zones, which affect both the pressure distribution in the medium and the active gas mass. The obtained results make it possible to determine the proportion of the flow zones volume and the exchange coefficient between the flow and stagnant zones. | |
| dc.format.extent | 179-185 | |
| dc.format.pages | 7 | |
| dc.identifier.citation | Pyanylo Ya. D. The gas filtration in complex porous media with stagnant zones / Pyanylo Ya. D., Bratash O. B // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2020. — Vol 7. — No 1. — P. 179–185. | |
| dc.identifier.citationen | Pyanylo Ya. D., B B. O. (2020) The gas filtration in complex porous media with stagnant zones. Mathematical Modeling and Computing (Lviv), vol. 7, no 1, pp. 179-185. | |
| dc.identifier.doi | DOI: 10.23939/mmc2020.01.179 | |
| dc.identifier.uri | https://ena.lpnu.ua/handle/ntb/57512 | |
| dc.language.iso | en | |
| dc.publisher | Видавництво Львівської політехніки | |
| dc.publisher | Lviv Politechnic Publishing House | |
| dc.relation.ispartof | Mathematical Modeling and Computing, 1 (7), 2020 | |
| dc.relation.references | [1] Prytula N. M., Pyanylo Ya. D., Prytula M. H. Underground storage of gas (mathematical models and methods). Lviv, RASTR-7 (2015), (in Ukrainian). | |
| dc.relation.references | [2] Leibenzon L. S. The movement of natural liquids and gases in a porous medium. Мoscow–Leningrad, State publishing house of technical and theoretical literature (1947), (in Russian). | |
| dc.relation.references | [3] Barrenblatt H. I., Entov V. M., Ryzhyk V. M. Theory of non-stationary filtration of liquid and gas. Мoscow, Nedra (1972), (in Russian). | |
| dc.relation.references | [4] Varhaftik N. B. Handbook of thermophysical properties of gases and liquids. Moscow, Nauka (1972), (in Russian). | |
| dc.relation.references | [5] Babenko Yu. I. The method of fractional differentiation in applied problems of the theory of heat and mass transfer. SPb., NPO “Professional” (2009), (in Russian). | |
| dc.relation.references | [6] Holubev V. S. Equations of motion of a fluid in a porous medium with flow and stagnant zones. Report of Academy of Sciences of USSR. 238 (6), 1318–1320 (1978), (in Russian). | |
| dc.relation.references | [7] Dietrich P., еt al. Flowand Transportin Fractured Porous Media. Springer–Verlag, Berlin (2005). | |
| dc.relation.references | [8] Bear J. Dynamics of fluids in porous media. New York, American Elsevier publ. (1967). | |
| dc.relation.references | [9] Ditkin V. A., Prudnikov A. P. Handbook of operational calculus. Мoscow, High School (1965), (in Russian). | |
| dc.relation.references | [10] Ditkin V. A., Prudnikov A. P. Operational calculus. Moscow, High School (1975), (in Russian). | |
| dc.relation.referencesen | [1] Prytula N. M., Pyanylo Ya. D., Prytula M. H. Underground storage of gas (mathematical models and methods). Lviv, RASTR-7 (2015), (in Ukrainian). | |
| dc.relation.referencesen | [2] Leibenzon L. S. The movement of natural liquids and gases in a porous medium. Moscow–Leningrad, State publishing house of technical and theoretical literature (1947), (in Russian). | |
| dc.relation.referencesen | [3] Barrenblatt H. I., Entov V. M., Ryzhyk V. M. Theory of non-stationary filtration of liquid and gas. Moscow, Nedra (1972), (in Russian). | |
| dc.relation.referencesen | [4] Varhaftik N. B. Handbook of thermophysical properties of gases and liquids. Moscow, Nauka (1972), (in Russian). | |
| dc.relation.referencesen | [5] Babenko Yu. I. The method of fractional differentiation in applied problems of the theory of heat and mass transfer. SPb., NPO "Professional" (2009), (in Russian). | |
| dc.relation.referencesen | [6] Holubev V. S. Equations of motion of a fluid in a porous medium with flow and stagnant zones. Report of Academy of Sciences of USSR. 238 (6), 1318–1320 (1978), (in Russian). | |
| dc.relation.referencesen | [7] Dietrich P., et al. Flowand Transportin Fractured Porous Media. Springer–Verlag, Berlin (2005). | |
| dc.relation.referencesen | [8] Bear J. Dynamics of fluids in porous media. New York, American Elsevier publ. (1967). | |
| dc.relation.referencesen | [9] Ditkin V. A., Prudnikov A. P. Handbook of operational calculus. Moscow, High School (1965), (in Russian). | |
| dc.relation.referencesen | [10] Ditkin V. A., Prudnikov A. P. Operational calculus. Moscow, High School (1975), (in Russian). | |
| dc.rights.holder | ©2020 Lviv Polytechnic National University CMM IAPMM NASU | |
| dc.subject | фiльтрацiя газу | |
| dc.subject | пористе середовище | |
| dc.subject | диференцiальнi рiвняння в частинних похiдних | |
| dc.subject | iнтегральнi перетворення | |
| dc.subject | gas filtration | |
| dc.subject | porous medium | |
| dc.subject | partial differential equations | |
| dc.subject | integral transforms | |
| dc.subject.udc | 93C23 | |
| dc.subject.udc | 49K20 | |
| dc.title | The gas filtration in complex porous media with stagnant zones | |
| dc.title.alternative | Фільтрація газу в складному пористому середовищі із застійними зонами | |
| dc.type | Article |