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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 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
Original language | English |
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Pages (from-to) | 3637-3650 |
Number of pages | 14 |
Journal | Meccanica |
Volume | 53 |
Issue number | 15 |
Early online date | 24 Oct 2018 |
DOIs | |
Publication status | Published - 01 Dec 2018 |
Keywords
- Hydraulic fracture
- Leak-off
- Numerical solution
- Penny-shaped crack
- Power law fluid
- Universal algorithm
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Dive into the research topics of 'Fluid velocity based simulation of hydraulic fracture—a penny shaped model. Part II: new, accurate semi-analytical benchmarks for an impermeable solid'. 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