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Abstract
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.
Original language | English |
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Pages (from-to) | 3615-3635 |
Number of pages | 21 |
Journal | Meccanica |
Volume | 53 |
Issue number | 15 |
Early online date | 22 Oct 2018 |
DOIs | |
Publication status | Published - 01 Dec 2018 |
Keywords
- Hydraulic fracture
- Leak-off
- Penny-shaped crack
- Power law fluid
- Speed equation
- Universal algorithm
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Dive into the research topics of 'Fluid velocity based simulation of hydraulic fracture: a penny shaped model—part I: The numerical algorithm'. Together they form a unique fingerprint.Projects
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MATRIXASSAY : Novel Cell Migration Assay based on Microtissue Technology and Tissue-Specific Matrices
Mishuris, G. (PI)
01 Jun 2016 → 31 May 2020
Project: Externally funded research