The gas filtration in complex porous media with stagnant zones

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dc.citation.epage185
dc.citation.issue1
dc.citation.spage179
dc.contributor.affiliationЦентр математичного моделювання Iнституту прикладних проблем механiки i математики iм. Я. С. Пiдстригача НАН України
dc.contributor.affiliationLviv Center of Mathematical Modeling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine
dc.contributor.authorП’янило, Я. Д.
dc.contributor.authorБраташ, О. Б.
dc.contributor.authorPyanylo, Ya. D.
dc.contributor.authorB, Bratash O.
dc.date.accessioned2023-03-06T12:28:17Z
dc.date.available2023-03-06T12:28:17Z
dc.date.created2020-01-01
dc.date.issued2020-01-01
dc.description.abstractУ 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.abstractThe 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.extent179-185
dc.format.pages7
dc.identifier.citationPyanylo 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.citationenPyanylo 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.doiDOI: 10.23939/mmc2020.01.179
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/57512
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofMathematical 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.subjectфiльтрацiя газу
dc.subjectпористе середовище
dc.subjectдиференцiальнi рiвняння в частинних похiдних
dc.subjectiнтегральнi перетворення
dc.subjectgas filtration
dc.subjectporous medium
dc.subjectpartial differential equations
dc.subjectintegral transforms
dc.subject.udc93C23
dc.subject.udc49K20
dc.titleThe gas filtration in complex porous media with stagnant zones
dc.title.alternativeФільтрація газу в складному пористому середовищі із застійними зонами
dc.typeArticle

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Mathematical Modeling And Computing. – 2020. – Vol. 7, No. 1