Temperature field in a cylindrical porous layer during “endless” heating with heat outflow
RELEVANCE. This article proposes a mathematical model for calculating the temperature field in the annular porous layer of an downhole reactor during continuous heating of a bottomhole zone containing high-viscosity oil (VVN) and natural bitumen (PB). The heating process is considered endless. purpo...
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| Format: | Article |
| Language: | English |
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Kazan State Power Engineering University
2024-09-01
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| Series: | Известия высших учебных заведений: Проблемы энергетики |
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| Online Access: | https://www.energyret.ru/jour/article/view/3089 |
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| author | N. D. Yakimov A. F. Shageev A. V. Dmitriev I. A. Mutugullina |
| author_facet | N. D. Yakimov A. F. Shageev A. V. Dmitriev I. A. Mutugullina |
| author_sort | N. D. Yakimov |
| collection | DOAJ |
| description | RELEVANCE. This article proposes a mathematical model for calculating the temperature field in the annular porous layer of an downhole reactor during continuous heating of a bottomhole zone containing high-viscosity oil (VVN) and natural bitumen (PB). The heating process is considered endless. purpose.OBJECT. To solve this problem, it is necessary to use the proposed mathematical model. To obtain a temperature profile in a porous layer under constant heating with heat outflow.METHODS. The equations of the mathematical model are based on the laws of conservation of energy and mass, analytical methods of the theory of differential equations, methods of the theory of similarity and dimensions, as well as numerical methods for solving boundary value problems are used for their study and evaluation.RESULTS. During the study, the dependences of the distance at which the set temperature in the reactor is reached were found to be directly proportional to the mass flow rate, the linear density of the heat flux and the heat capacity of the mixture.CONCLUSION. The mathematical model shows how the temperature in the annular porous layer inside the reactor changes with endless heating and heat outflow. |
| format | Article |
| id | doaj-art-d02c8c5193a3427685aec2b6517b248a |
| institution | OA Journals |
| issn | 1998-9903 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | Kazan State Power Engineering University |
| record_format | Article |
| series | Известия высших учебных заведений: Проблемы энергетики |
| spelling | doaj-art-d02c8c5193a3427685aec2b6517b248a2025-08-20T01:53:26ZengKazan State Power Engineering UniversityИзвестия высших учебных заведений: Проблемы энергетики1998-99032024-09-0126314615510.30724/1998-9903-2024-26-3-146-1551022Temperature field in a cylindrical porous layer during “endless” heating with heat outflowN. D. Yakimov0A. F. Shageev1A. V. Dmitriev2I. A. Mutugullina3Kazan State Power Engineering UniversityDevelopment and Exploitation of deposits of hard-to-recover hydrocarbons of KFU, Institute of Geology and Oil and Gas Technologies / World-class Scientific Center forRational Development of liquid Hydrocarbon reserves of the planet (head center) / NIL methods of increasing oil recoveryKazan State Power Engineering UniversityKazan State Power Engineering UniversityRELEVANCE. This article proposes a mathematical model for calculating the temperature field in the annular porous layer of an downhole reactor during continuous heating of a bottomhole zone containing high-viscosity oil (VVN) and natural bitumen (PB). The heating process is considered endless. purpose.OBJECT. To solve this problem, it is necessary to use the proposed mathematical model. To obtain a temperature profile in a porous layer under constant heating with heat outflow.METHODS. The equations of the mathematical model are based on the laws of conservation of energy and mass, analytical methods of the theory of differential equations, methods of the theory of similarity and dimensions, as well as numerical methods for solving boundary value problems are used for their study and evaluation.RESULTS. During the study, the dependences of the distance at which the set temperature in the reactor is reached were found to be directly proportional to the mass flow rate, the linear density of the heat flux and the heat capacity of the mixture.CONCLUSION. The mathematical model shows how the temperature in the annular porous layer inside the reactor changes with endless heating and heat outflow.https://www.energyret.ru/jour/article/view/3089porous layertemperature fieldendless heatinghigh viscosity oildownhole reactor |
| spellingShingle | N. D. Yakimov A. F. Shageev A. V. Dmitriev I. A. Mutugullina Temperature field in a cylindrical porous layer during “endless” heating with heat outflow Известия высших учебных заведений: Проблемы энергетики porous layer temperature field endless heating high viscosity oil downhole reactor |
| title | Temperature field in a cylindrical porous layer during “endless” heating with heat outflow |
| title_full | Temperature field in a cylindrical porous layer during “endless” heating with heat outflow |
| title_fullStr | Temperature field in a cylindrical porous layer during “endless” heating with heat outflow |
| title_full_unstemmed | Temperature field in a cylindrical porous layer during “endless” heating with heat outflow |
| title_short | Temperature field in a cylindrical porous layer during “endless” heating with heat outflow |
| title_sort | temperature field in a cylindrical porous layer during endless heating with heat outflow |
| topic | porous layer temperature field endless heating high viscosity oil downhole reactor |
| url | https://www.energyret.ru/jour/article/view/3089 |
| work_keys_str_mv | AT ndyakimov temperaturefieldinacylindricalporouslayerduringendlessheatingwithheatoutflow AT afshageev temperaturefieldinacylindricalporouslayerduringendlessheatingwithheatoutflow AT avdmitriev temperaturefieldinacylindricalporouslayerduringendlessheatingwithheatoutflow AT iamutugullina temperaturefieldinacylindricalporouslayerduringendlessheatingwithheatoutflow |