Fluid velocity based simulation of hydraulic fracture: a penny shaped model—part I: The numerical algorithm

Daniel Peck, Michal Wrobel, Monika Perkowska, Gennady Mishuris

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

18 Dyfyniadau(SciVal)
183 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, previously demonstrated for the PKN and KGD models, is extended to obtain solutions for a penny-shaped crack. The numerical scheme is capable of dealing with both the viscosity and toughness dominated regimes, with the fracture being driven by a power-law fluid. The computational approach utilizes two dependent variables; the fracture aperture and the reduced fluid velocity. The latter allows for the application of a local condition of the Stefan type (the speed equation) to trace the fracture front. The obtained numerical solutions are carefully tested using various methods, and are shown to achieve a high level of accuracy.
Iaith wreiddiolSaesneg
Tudalennau (o-i)3615-3635
Nifer y tudalennau21
CyfnodolynMeccanica
Cyfrol53
Rhif cyhoeddi15
Dyddiad ar-lein cynnar22 Hyd 2018
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 01 Rhag 2018

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