Fluid velocity based simulation of hydraulic fracture—a penny shaped model. Part II: new, accurate semi-analytical benchmarks for an impermeable solid

Daniel Peck; Michal Wrobel; Monika Perkowska; Gennady Mishuris

doi:10.1007/s11012-018-0903-6

Fluid velocity based simulation of hydraulic fracture—a penny shaped model. Part II: new, accurate semi-analytical benchmarks for an impermeable solid

Daniel Peck, Michal Wrobel, Monika Perkowska, Gennady Mishuris

Adran Mathemateg

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

13 Dyfyniadau (Scopus)

163 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

In the first part of this paper a universal fluid velocity based algorithm for simulating hydraulic fracture with leak-off was created for a penny-shaped crack. The power-law rheological model of fluid was assumed and the final scheme was capable of tackling both the viscosity and toughness dominated regimes of crack propagation. The obtained solutions were shown to achieve a high level of accuracy. In this paper simple, accurate, semi-analytical approximations of the solution are provided for the zero leak-off case, for a wide range of values of the material toughness and parameters defining the fluid rheology. A comparison with other results available in the literature is undertaken

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	3637-3650
Nifer y tudalennau	14
Cyfnodolyn	Meccanica
Cyfrol	53
Rhif cyhoeddi	15
Dyddiad ar-lein cynnar	24 Hyd 2018
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1007/s11012-018-0903-6
Statws	Cyhoeddwyd - 01 Rhag 2018

Mynediad at Ddogfen

10.1007/s11012-018-0903-6Trwydded: CC BY

Fluid velocity based simulation of hydraulic fracture - a penny shaped model. Part II: new, accurate semi-analytical benchmarks for an impermeable solidFersiwn derfynol wedi’i chyhoeddi, 5.43 MBTrwydded: CC BY

Cysylltiad parhaol

Dolen barhaus

Ffeiliau eraill a chysylltiadau

Dolen i’r cyhoeddiad yn Scopus

1 Wedi Gorffen

MATRIXASSAY : Novel Cell Migration Assay based on Microtissue Technology and Tissue-Specific Matrices
Mishuris, G. (Prif Ymchwilydd)
Horizon 2020 -European Commission
01 Meh 2016 → 31 Mai 2020
Prosiect: Ymchwil a ariannwyd yn allanol

Dyfynnu hyn

@article{fc9269c7cf014d64a2b93b077c35d2a8,

title = "Fluid velocity based simulation of hydraulic fracture—a penny shaped model. Part II: new, accurate semi-analytical benchmarks for an impermeable solid",

abstract = "In the first part of this paper a universal fluid velocity based algorithm for simulating hydraulic fracture with leak-off was created for a penny-shaped crack. The power-law rheological model of fluid was assumed and the final scheme was capable of tackling both the viscosity and toughness dominated regimes of crack propagation. The obtained solutions were shown to achieve a high level of accuracy. In this paper simple, accurate, semi-analytical approximations of the solution are provided for the zero leak-off case, for a wide range of values of the material toughness and parameters defining the fluid rheology. A comparison with other results available in the literature is undertaken",

keywords = "Hydraulic fracture, Leak-off, Numerical solution, Penny-shaped crack, Power law fluid, Universal algorithm",

author = "Daniel Peck and Michal Wrobel and Monika Perkowska and Gennady Mishuris",

note = "Funding Information: Funding DP was funded by the European Union Seventh Framework Marie Curie IAPP project PARM-2 (reference: PIAP-GA-2012-284544) and H2020 Marie Sklodowska Curie Funding Information: Acknowledgements All authors are grateful to the funding bodies who supported this project. DP and MW are very grateful to ISOTOP for the facilities they provided during their secondments. Both would specifically like to thank Dr Vladi Frid for his fruitful discussions when beginning the paper, and throughout their secondment periods. GM is grateful to the Royal Society for the Wolfson Research Merit Award. Funding Information: All authors are grateful to the funding bodies who supported this project. DP and MW are very grateful to ISOTOP for the facilities they provided during their secondments. Both would specifically like to thank Dr Vladi Frid for his fruitful discussions when beginning the paper, and throughout their secondment periods. GM is grateful to the Royal Society for the Wolfson Research Merit Award. The authors declare that these publicly funded arrangements haven?t created a conflict of interest. Publisher Copyright: {\textcopyright} 2018, The Author(s).",

year = "2018",

month = dec,

day = "1",

doi = "10.1007/s11012-018-0903-6",

language = "English",

volume = "53",

pages = "3637--3650",

journal = "Meccanica",

issn = "0025-6455",

publisher = "Springer Nature",

number = "15",

}

TY - JOUR

T1 - Fluid velocity based simulation of hydraulic fracture—a penny shaped model. Part II

T2 - new, accurate semi-analytical benchmarks for an impermeable solid

AU - Peck, Daniel

AU - Wrobel, Michal

AU - Perkowska, Monika

AU - Mishuris, Gennady

N1 - Funding Information: Funding DP was funded by the European Union Seventh Framework Marie Curie IAPP project PARM-2 (reference: PIAP-GA-2012-284544) and H2020 Marie Sklodowska Curie Funding Information: Acknowledgements All authors are grateful to the funding bodies who supported this project. DP and MW are very grateful to ISOTOP for the facilities they provided during their secondments. Both would specifically like to thank Dr Vladi Frid for his fruitful discussions when beginning the paper, and throughout their secondment periods. GM is grateful to the Royal Society for the Wolfson Research Merit Award. Funding Information: All authors are grateful to the funding bodies who supported this project. DP and MW are very grateful to ISOTOP for the facilities they provided during their secondments. Both would specifically like to thank Dr Vladi Frid for his fruitful discussions when beginning the paper, and throughout their secondment periods. GM is grateful to the Royal Society for the Wolfson Research Merit Award. The authors declare that these publicly funded arrangements haven?t created a conflict of interest. Publisher Copyright: © 2018, The Author(s).

PY - 2018/12/1

Y1 - 2018/12/1

N2 - In the first part of this paper a universal fluid velocity based algorithm for simulating hydraulic fracture with leak-off was created for a penny-shaped crack. The power-law rheological model of fluid was assumed and the final scheme was capable of tackling both the viscosity and toughness dominated regimes of crack propagation. The obtained solutions were shown to achieve a high level of accuracy. In this paper simple, accurate, semi-analytical approximations of the solution are provided for the zero leak-off case, for a wide range of values of the material toughness and parameters defining the fluid rheology. A comparison with other results available in the literature is undertaken

AB - In the first part of this paper a universal fluid velocity based algorithm for simulating hydraulic fracture with leak-off was created for a penny-shaped crack. The power-law rheological model of fluid was assumed and the final scheme was capable of tackling both the viscosity and toughness dominated regimes of crack propagation. The obtained solutions were shown to achieve a high level of accuracy. In this paper simple, accurate, semi-analytical approximations of the solution are provided for the zero leak-off case, for a wide range of values of the material toughness and parameters defining the fluid rheology. A comparison with other results available in the literature is undertaken

KW - Hydraulic fracture

KW - Leak-off

KW - Numerical solution

KW - Penny-shaped crack

KW - Power law fluid

KW - Universal algorithm

UR - http://www.scopus.com/inward/record.url?scp=85055924495&partnerID=8YFLogxK

U2 - 10.1007/s11012-018-0903-6

DO - 10.1007/s11012-018-0903-6

M3 - Article

C2 - 30930492

SN - 0025-6455

VL - 53

SP - 3637

EP - 3650

JO - Meccanica

JF - Meccanica

IS - 15

ER -

Fluid velocity based simulation of hydraulic fracture—a penny shaped model. Part II: new, accurate semi-analytical benchmarks for an impermeable solid

Crynodeb

Mynediad at Ddogfen

Cysylltiad parhaol

Ffeiliau eraill a chysylltiadau

Ôl bys

Prosiectau

MATRIXASSAY : Novel Cell Migration Assay based on Microtissue Technology and Tissue-Specific Matrices

Dyfynnu hyn