Energy condition of crack development in modeling hydraulic fracturing of an oil reservoir

Authors

  • Dunaev V.I. Kuban State Technological University, Krasnodar, Российская Федерация
  • Tereshchenko I.A. Kuban State Technological University, Krasnodar, Российская Федерация
  • Moldavanov S.Yu. Kuban State Technological University, Krasnodar, Российская Федерация

UDC

539.375, 531.375

DOI:

https://doi.org/10.31429/vestnik-18-4-23-28

Abstract

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 mapping

Acknowledgement

Работа выполнена при поддержке гранта ПАО "Нефтяная компания "Роснефть" по договору №100021/05188Д от 01.09.2021 г.

Author Infos

Vladislav I. Dunaev

д-р. физ-мат. наук, профессор кафедры оборудования нефтяных и газовых промыслов Кубанского государственного технологического университета

e-mail: dunaevatv@mail.ru

Ivan A. Tereshchenko

старший преподаватель кафедры оборудования нефтяных и газовых промыслов Кубанского государственного технологического университета

e-mail: ongptr@mail.ru

Sergei Yu. Moldavanov

канд. физ-мат. наук, доцент кафедры производства строительных конструкций и строительной механики Кубанского государственного технологического университета

e-mail: sum-smsm@mail.ru

References

  1. 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)
  2. 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)
  3. 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)
  4. 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)
  5. 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)
  6. Muskhelishvili N.I. Nekotorye osnovnye zadachi matematicheskoy teorii uprugosti [Some basic problems of the mathematical theory of elasticity]. Nauka, Moscow, 1966. (In Russian)

Issue

Section

Mechanics

Pages

23-28

Submitted

2021-12-16

Published

2022-01-10

How to Cite

Dunaev V.I., Tereshchenko I.A., Moldavanov S.Yu. Energy condition of crack development in modeling hydraulic fracturing of an oil reservoir. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2021, vol. 18, no. 4, pp. 23-28. DOI: https://doi.org/10.31429/vestnik-18-4-23-28 (In Russian)