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

Authors

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

UDC

539.375, 531.375

EDN

ZOPXYR

DOI:

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

Funding information

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

Authors info

  • Vladislav I. Dunaev

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

  • Ivan A. Tereshchenko

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

  • Sergei Yu. Moldavanov

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

References

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Issue

Vol. 18 (2021) No. 4

Pages

23-28

Section

Mechanics

Dates

Submitted

December 16, 2021

Accepted

December 18, 2021

Published

January 10, 2022

How to Cite

[1]
Dunaev, V.I., Tereshchenko, I.A., Moldavanov, S.Y., Energy condition of crack development in modeling hydraulic fracturing of an oil reservoir. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2022, т. 18, № 4, pp. 23–28. DOI: 10.31429/vestnik-18-4-23-28

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Copyright (c) 2022 Дунаев В.И., Терещенко И.А., Молдаванов С.Ю.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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