On crack propagation in weak geomaterials: Revisiting the superdislocation model in the context of hydraulic fracture

M. Wrobel; M. Dutko; G. Mishuris; P. Papanastasiou

doi:10.1016/j.ijengsci.2023.103878

On crack propagation in weak geomaterials: Revisiting the superdislocation model in the context of hydraulic fracture

M. Wrobel^*, M. Dutko, G. Mishuris, P. Papanastasiou

^*Corresponding author for this work

Department of Mathematics

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

1 Citation (Scopus)

11 Downloads (Pure)

Abstract

In this paper the problem of hydraulic fracture in elasto-plastic pressure sensitive material is analyzed. The superdislocation model is used to approximate the plastic deformations in the crack tip area. This model is employed to derive a new crack propagation condition based on the concept of effective fracture toughness. A parametric analysis supported by FEM simulations is conducted to verify the underlying assumptions of the superdislocation model and the resulting crack propagation condition. The results, obtained with the new crack propagation condition for the HF problem, are compared with those produced by a commercial geomechanical FEM package Elfen. The comparison proves the validity of the new crack propagation condition and the proposed modeling approach.

Original language	English
Article number	103878
Number of pages	25
Journal	International Journal of Engineering Science
Volume	191
Early online date	09 Jun 2023
DOIs	https://doi.org/10.1016/j.ijengsci.2023.103878
Publication status	Published - 01 Oct 2023

Keywords

Hydraulic fracture
Mohr–Coulomb model
Plane strain crack
Plastic deformation
Superdislocation

Access to Document

10.1016/j.ijengsci.2023.103878

Accepted ManuscriptAccepted author manuscript, 2.63 MBLicence: CC BY-NC-ND

Permanent link

Persistent link

Cite this

@article{49a758c832e64f8da8fd81bfbb8eba6f,

title = "On crack propagation in weak geomaterials: Revisiting the superdislocation model in the context of hydraulic fracture",

abstract = "In this paper the problem of hydraulic fracture in elasto-plastic pressure sensitive material is analyzed. The superdislocation model is used to approximate the plastic deformations in the crack tip area. This model is employed to derive a new crack propagation condition based on the concept of effective fracture toughness. A parametric analysis supported by FEM simulations is conducted to verify the underlying assumptions of the superdislocation model and the resulting crack propagation condition. The results, obtained with the new crack propagation condition for the HF problem, are compared with those produced by a commercial geomechanical FEM package Elfen. The comparison proves the validity of the new crack propagation condition and the proposed modeling approach.",

keywords = "Hydraulic fracture, Mohr–Coulomb model, Plane strain crack, Plastic deformation, Superdislocation",

author = "M. Wrobel and M. Dutko and G. Mishuris and P. Papanastasiou",

note = "Funding Information: M. W. thanks Prof. Andrea Nobili for fruitful discussions and the hospitality during the secondment to UNIMORE (Italy). G. M. acknowledges Wolfson Research Merit Award from the Royal Society, M. D. is thankful for the Industrial Fellowship from the Royal Academy of Engineering. P. P. acknowledges the funding from European Regional Development Fund and the Republic of Cyprus through the Research Promotion Foundation (RESTART 2016–2020 PROGRAMMES, Excellence Hubs, Project EXCELLENCE/0421/0456). M. W. gratefully acknowledges the funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 101008140 EffectFact. M. D. and G. M. would like to thank Ser-Cymru II Research Programme by Welsh Government supported by European Regional Development Fund. Publisher Copyright: {\textcopyright} 2023 Elsevier Ltd",

year = "2023",

month = oct,

day = "1",

doi = "10.1016/j.ijengsci.2023.103878",

language = "English",

volume = "191",

journal = "International Journal of Engineering Science",

issn = "0020-7225",

publisher = "Elsevier",

}

TY - JOUR

T1 - On crack propagation in weak geomaterials

T2 - Revisiting the superdislocation model in the context of hydraulic fracture

AU - Wrobel, M.

AU - Dutko, M.

AU - Mishuris, G.

AU - Papanastasiou, P.

N1 - Funding Information: M. W. thanks Prof. Andrea Nobili for fruitful discussions and the hospitality during the secondment to UNIMORE (Italy). G. M. acknowledges Wolfson Research Merit Award from the Royal Society, M. D. is thankful for the Industrial Fellowship from the Royal Academy of Engineering. P. P. acknowledges the funding from European Regional Development Fund and the Republic of Cyprus through the Research Promotion Foundation (RESTART 2016–2020 PROGRAMMES, Excellence Hubs, Project EXCELLENCE/0421/0456). M. W. gratefully acknowledges the funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 101008140 EffectFact. M. D. and G. M. would like to thank Ser-Cymru II Research Programme by Welsh Government supported by European Regional Development Fund. Publisher Copyright: © 2023 Elsevier Ltd

PY - 2023/10/1

Y1 - 2023/10/1

N2 - In this paper the problem of hydraulic fracture in elasto-plastic pressure sensitive material is analyzed. The superdislocation model is used to approximate the plastic deformations in the crack tip area. This model is employed to derive a new crack propagation condition based on the concept of effective fracture toughness. A parametric analysis supported by FEM simulations is conducted to verify the underlying assumptions of the superdislocation model and the resulting crack propagation condition. The results, obtained with the new crack propagation condition for the HF problem, are compared with those produced by a commercial geomechanical FEM package Elfen. The comparison proves the validity of the new crack propagation condition and the proposed modeling approach.

AB - In this paper the problem of hydraulic fracture in elasto-plastic pressure sensitive material is analyzed. The superdislocation model is used to approximate the plastic deformations in the crack tip area. This model is employed to derive a new crack propagation condition based on the concept of effective fracture toughness. A parametric analysis supported by FEM simulations is conducted to verify the underlying assumptions of the superdislocation model and the resulting crack propagation condition. The results, obtained with the new crack propagation condition for the HF problem, are compared with those produced by a commercial geomechanical FEM package Elfen. The comparison proves the validity of the new crack propagation condition and the proposed modeling approach.

KW - Hydraulic fracture

KW - Mohr–Coulomb model

KW - Plane strain crack

KW - Plastic deformation

KW - Superdislocation

UR - http://www.scopus.com/inward/record.url?scp=85161671978&partnerID=8YFLogxK

U2 - 10.1016/j.ijengsci.2023.103878

DO - 10.1016/j.ijengsci.2023.103878

M3 - Article

AN - SCOPUS:85161671978

SN - 0020-7225

VL - 191

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

M1 - 103878

ER -

On crack propagation in weak geomaterials: Revisiting the superdislocation model in the context of hydraulic fracture

Abstract

Keywords

Access to Document

Permanent link

Other files and links

Fingerprint

Wolfson Visiting Fellowship - Professor Victor Eremeyev

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

Cite this

On crack propagation in weak geomaterials: Revisiting the superdislocation model in the context of hydraulic fracture

Abstract

Keywords

Access to Document

Permanent link

Other files and links

Fingerprint

Projects

Wolfson Visiting Fellowship - Professor Victor Eremeyev

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

Cite this