Impact of the tangential traction for radial hydraulic fracture

D. Peck; G. Da Fies

doi:10.1016/j.euromechsol.2022.104896

Impact of the tangential traction for radial hydraulic fracture

D. Peck^*, G. Da Fies

^*Corresponding author for this work

Department of Mathematics

Rockfield

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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Abstract

The radial (penny-shaped) model of hydraulic fracture is considered. The tangential traction on the fracture walls is incorporated, including an updated evaluation of the energy release rate (fracture criterion), system asymptotics and the need to account for stagnant zone formation near the injection point. The impact of incorporating the shear stress on the construction of solvers, and the effectiveness of approximating system parameters using the first term of the crack tip asymptotics, is discussed. A full quantitative investigation of the impact of tangential traction on solution is undertaken, utilising an extremely effective adaptive time-space solver.

Original language	English
Article number	104896
Number of pages	14
Journal	European Journal of Mechanics - A/Solids
Volume	100
Early online date	11 Jun 2023
DOIs	https://doi.org/10.1016/j.euromechsol.2022.104896
Publication status	Published - 01 Jul 2023

Keywords

Hydraulic fracture
Penny-shaped
Radial
Shear stress
Tangential traction

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10.1016/j.euromechsol.2022.104896Licence: CC BY

ArticleFinal published version, 1.61 MBLicence: CC BY
Supplementary dataData, 119 KBLicence: CC BY

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title = "Impact of the tangential traction for radial hydraulic fracture",

abstract = "The radial (penny-shaped) model of hydraulic fracture is considered. The tangential traction on the fracture walls is incorporated, including an updated evaluation of the energy release rate (fracture criterion), system asymptotics and the need to account for stagnant zone formation near the injection point. The impact of incorporating the shear stress on the construction of solvers, and the effectiveness of approximating system parameters using the first term of the crack tip asymptotics, is discussed. A full quantitative investigation of the impact of tangential traction on solution is undertaken, utilising an extremely effective adaptive time-space solver.",

keywords = "Hydraulic fracture, Penny-shaped, Radial, Shear stress, Tangential traction",

author = "D. Peck and {Da Fies}, G.",

note = "Funding Information: The authors would also like to thank Prof. Gennady Mishuris, Dr. Michal Wrobel and Dr. Martin Dutko for their fruitful discussions when working on the paper. The authors have been funded by the Welsh Government via S{\^e}r Cymru Future Generations Industrial Fellowship grant AU224 and the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement EffectFact No. 101008140. Publisher Copyright: {\textcopyright} 2022 The Authors",

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AU - Peck, D.

AU - Da Fies, G.

N1 - Funding Information: The authors would also like to thank Prof. Gennady Mishuris, Dr. Michal Wrobel and Dr. Martin Dutko for their fruitful discussions when working on the paper. The authors have been funded by the Welsh Government via Sêr Cymru Future Generations Industrial Fellowship grant AU224 and the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement EffectFact No. 101008140. Publisher Copyright: © 2022 The Authors

PY - 2023/7/1

Y1 - 2023/7/1

N2 - The radial (penny-shaped) model of hydraulic fracture is considered. The tangential traction on the fracture walls is incorporated, including an updated evaluation of the energy release rate (fracture criterion), system asymptotics and the need to account for stagnant zone formation near the injection point. The impact of incorporating the shear stress on the construction of solvers, and the effectiveness of approximating system parameters using the first term of the crack tip asymptotics, is discussed. A full quantitative investigation of the impact of tangential traction on solution is undertaken, utilising an extremely effective adaptive time-space solver.

AB - The radial (penny-shaped) model of hydraulic fracture is considered. The tangential traction on the fracture walls is incorporated, including an updated evaluation of the energy release rate (fracture criterion), system asymptotics and the need to account for stagnant zone formation near the injection point. The impact of incorporating the shear stress on the construction of solvers, and the effectiveness of approximating system parameters using the first term of the crack tip asymptotics, is discussed. A full quantitative investigation of the impact of tangential traction on solution is undertaken, utilising an extremely effective adaptive time-space solver.

KW - Hydraulic fracture

KW - Penny-shaped

KW - Radial

KW - Shear stress

KW - Tangential traction

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DO - 10.1016/j.euromechsol.2022.104896

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JO - European Journal of Mechanics - A/Solids

JF - European Journal of Mechanics - A/Solids

M1 - 104896

ER -

Impact of the tangential traction for radial hydraulic fracture

Abstract

Keywords

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EffectFact: Effective Factorisation techniques for matrix-functions: Developing theory, numerical methods and impactful applications

Ser Cymru IFA - Development of the tip element to account for singular physical fields near the crack tip and various propagation regimes.

Cite this

Impact of the tangential traction for radial hydraulic fracture

Abstract

Keywords

Access to Document

Permanent link

Other files and links

Fingerprint

Projects

EffectFact: Effective Factorisation techniques for matrix-functions: Developing theory, numerical methods and impactful applications

Ser Cymru IFA - Development of the tip element to account for singular physical fields near the crack tip and various propagation regimes.

Cite this