Mathematical model of the downward two-phase flow of a heat-transfer agent in an injection well

• Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software"
• Main Authors: Musakaev, N.G., Borodin, S.L., Rodionov, S.P., Мусакаев, Н.Г., Бородин, С.Л., Родионов, С.П.
• Format: Article in Journal/Newspaper
• Language: English
• Published: Издательский центр ЮУрГУ 2019
• Subjects: УДК 532.546; УДК 519.63; two-phase flow; heat-transfer agent; injection well; permafrost; thawed zone; двухфазный поток; теплоноситель; нагнетательная скважина; многолетнемерзлые породы; зона протаивания; Borodin
• Online Access: http://dspace.susu.ru/xmlui/handle/0001.74/40246; https://doi.org/10.14529/mmp190305

N.G. Musakaev1,2, S.L. Borodin2, S.P. Rodionov2,31Industrial University of Tyumen, Tyumen, Russian Federation2Tyumen Branch of Khristianovich Institute of Theoretical and Applied Mechanicsof the Siberian Branch of the Russian Academy of Sciences, Tyumen, Russian Federation3RUDN University, Moscow, Russian FederationE-mails: [e-mail], [e-mail], [e-mail] Наиль Габсалямович Мусакаев, доктор физико-математических наук, Тюменскийфилиал Института теоретической и прикладной механики им. С.А. ХристиановичаСО РАН; Тюменский индустриальный университет (г. Тюмень, Российская Федерация), [e-mail].Станислав Леонидович Бородин, кандидат физико-математических наук, Тюменский филиал Института теоретической и прикладной механикиим. С.А. Христиановича СО РАН (г. Тюмень, Российская Федерация), [e-mail].Сергей Павлович Родионов, доктор физико-математических наук, Тюменскийфилиал Института теоретической и прикладной механики им. С.А. Христиановича СО РАН (г. Тюмень, Российская Федерация); Российский университет дружбы народов (г. Москва, Российская Федерация), [e-mail]. At the present time, the main method of developing highly viscous and bituminousoil reservoirs is the injection of hot water or steam into such reservoirs. When injectingheat-transfer agent into a porous reservoir, its characteristics at the wellhead are known.It is important to know the parameters of a heat-transfer agent (pressure, temperature,mass content of steam in a two-phase mixture “water-steam” ,etc.) directly at the reservoirentrance. In order to calculate various parameters of a heat-transfer agent along the injectionwell depth (including the bottomhole), we propose a mathematical model of the downwardflow of a hot “water-steam” mixture in a vertical channel. Themodel takes into account phasetransitions occurring in a two-phase “water-steam” mixture, and external heat exchange ofthe well product with surrounding rocks (including permafrost). Based on the proposedmathematical model, we develop an algorithm to ...