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

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 dominate...

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Autores principales: Peck, Daniel, Wrobel, Michal, Perkowska, Monika, Mishuris, Gennady
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6405074/
https://www.ncbi.nlm.nih.gov/pubmed/30930492
http://dx.doi.org/10.1007/s11012-018-0903-6
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author Peck, Daniel
Wrobel, Michal
Perkowska, Monika
Mishuris, Gennady
author_facet Peck, Daniel
Wrobel, Michal
Perkowska, Monika
Mishuris, Gennady
author_sort Peck, Daniel
collection PubMed
description 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. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (10.1007/s11012-018-0903-6) contains supplementary material, which is available to authorized users.
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spelling pubmed-64050742019-03-27 Fluid velocity based simulation of hydraulic fracture—a penny shaped model. Part II: new, accurate semi-analytical benchmarks for an impermeable solid Peck, Daniel Wrobel, Michal Perkowska, Monika Mishuris, Gennady Meccanica Article 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. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (10.1007/s11012-018-0903-6) contains supplementary material, which is available to authorized users. Springer Netherlands 2018-10-24 2018 /pmc/articles/PMC6405074/ /pubmed/30930492 http://dx.doi.org/10.1007/s11012-018-0903-6 Text en © The Author(s) 2018 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Peck, Daniel
Wrobel, Michal
Perkowska, Monika
Mishuris, Gennady
Fluid velocity based simulation of hydraulic fracture—a penny shaped model. Part II: new, accurate semi-analytical benchmarks for an impermeable solid
title Fluid velocity based simulation of hydraulic fracture—a penny shaped model. Part II: new, accurate semi-analytical benchmarks for an impermeable solid
title_full Fluid velocity based simulation of hydraulic fracture—a penny shaped model. Part II: new, accurate semi-analytical benchmarks for an impermeable solid
title_fullStr Fluid velocity based simulation of hydraulic fracture—a penny shaped model. Part II: new, accurate semi-analytical benchmarks for an impermeable solid
title_full_unstemmed Fluid velocity based simulation of hydraulic fracture—a penny shaped model. Part II: new, accurate semi-analytical benchmarks for an impermeable solid
title_short Fluid velocity based simulation of hydraulic fracture—a penny shaped model. Part II: new, accurate semi-analytical benchmarks for an impermeable solid
title_sort fluid velocity based simulation of hydraulic fracture—a penny shaped model. part ii: new, accurate semi-analytical benchmarks for an impermeable solid
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6405074/
https://www.ncbi.nlm.nih.gov/pubmed/30930492
http://dx.doi.org/10.1007/s11012-018-0903-6
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