Energy condition of crack development in modeling hydraulic fracturing of an oil reservoir
UDC
539.375, 531.375DOI:
https://doi.org/10.31429/vestnik-18-4-23-28Abstract
The paper investigates the thermodynamically complete condition of brittle fracture in the simulation of hydraulic fracturing of an oil reservoir. An infinite body in a flat deformed state weakened by a narrow elliptical hole is considered as a model of an oil-bearing reservoir subjected to hydraulic action. Pressure acts on the borehole boundary. Lateral pressure due to mountain pressure acts on the remote border. A relation is obtained that determines the relationship between the characteristic size of an isolated defect (half-length of an ellipse) and the critical pressure on the well wall at which its development is possible, taking into account the lateral pressure and thermodynamic parameters of the formation (temperature and linear coefficient of thermal expansion).
Keywords:
isolated defect, plane problem of elasticity theory, integrals of released internal energy, complex potentials, conformal mappingAcknowledgement
References
- Dunaev I.M., Dunaev V.I. Ob energeticheskom uslovii razrusheniya tverdykh tel [On the energy condition of destruction of solids]. Doklady RAN [Rep.of the Russian Academy of Sciences], 2000, vol. 372, no. 1, pp. 43–45. (In Russian)
- Dunaev I.M., Dunaev V.I. Energeticheskoe uslovie razrusheniya tverdykh tel [Energy condition of destruction of solids]. Mekhanika tverdogo tela [Solid state mechanics], 2003, no. 6, pp. 69–81. (In Russian)
- Dunaev V.I., Tereshchenko I.A., Velichko E.I., Shiyan S.I. Ob odnoy matematicheskoy modeli v zadache gidrorazryva neftenosnogo plasta [About a mathematical model in the problem of hydraulic fracturing of an oil reservoir] Stroitel'stvo neftyanykh i gazovykh skvazhin na sushe i na more [Construction of oil and gas wells on land and at sea], 2020, no. 10(334), pp. 39–41. (In Russian)
- Dunaev V.I., Tereshchenko I.A., Moldavanov S.Yu., Velichko E.I., Shiyan S.I. Ob odnom uslovii razvitiya izolirovannogo defekta [About one condition for the development of an isolated defect]. Ekologicheskiy vestnik nauchnykh tsentrov Chernomorskogo ekonomicheskogo sotrudnichestva [Ecological Bulletin of the Scientific Centers of the Black Sea Economic Cooperation], 2021, vol. 18, no. 2, pp. 8–13. (In Russian)
- Zheltov Yu.P., Khristianovich S.A. O gidravlicheskom razryve neftenosnogo plasta [About hydraulic fracturing of an oil reservoir]. Izvestiya akademii nauk SSSR. Otdelenie tekhnicheskih nauk [Proc. of the USSR Academy of Sciences. Department of Technical Sciences], 1955, no. 5, pp. 3–41. (In Russian)
- Muskhelishvili N.I. Nekotorye osnovnye zadachi matematicheskoy teorii uprugosti [Some basic problems of the mathematical theory of elasticity]. Nauka, Moscow, 1966. (In Russian)
Downloads
Submitted
Published
How to Cite
Copyright (c) 2022 Dunaev V.I., Tereshchenko I.A., Moldavanov S.Yu.
This work is licensed under a Creative Commons Attribution 4.0 International License.