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

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

13 Dyfyniadau(SciVal)
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 wreiddiolSaesneg
Tudalennau (o-i)3637-3650
Nifer y tudalennau14
CyfnodolynMeccanica
Cyfrol53
Rhif cyhoeddi15
Dyddiad ar-lein cynnar24 Hyd 2018
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 01 Rhag 2018

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