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Early-time solution for a radial hydraulic fracture / Andrew P. Bunger in Journal of engineering mechanics, Vol. 133 N°5 (Mai 2007) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 133 N°5 (Mai 2007) . - pp.534–540. Titre : Early-time solution for a radial hydraulic fracture Type de document : texte imprimé Auteurs : Andrew P. Bunger, Auteur ; Emmanuel Detournay, Auteur Année de publication : 2007 Article en page(s) : pp.534–540. Note générale : Applied mechanics Langues : Anglais (eng) Mots-clés : Elasticity  Fracture  Mechanics  Hydraulics Résumé : The small-time asymptotic solution for a penny-shaped fluid-driven fracture is obtained semianalytically. Scaling considerations indicate that the portion of the fracture that is filled with fluid increases with time according to a power law. The problem is shown to be self-similar at the length scale of the small fluid-filled region and to depend on only the mean fluid pressure at the length scale of the fracture. This similarity solution is unusual as the two length scales of the problem—the radius of the fracture and the radius of the fluid front—evolve according to two different power laws of time. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%282007%29133%3A5%2853 [...] [article] Early-time solution for a radial hydraulic fracture [texte imprimé] / Andrew P. Bunger, Auteur ; Emmanuel Detournay, Auteur . - 2007 . - pp.534–540. Applied mechanics Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 133 N°5 (Mai 2007) . - pp.534–540. Mots-clés : Elasticity  Fracture  Mechanics  Hydraulics Résumé : The small-time asymptotic solution for a penny-shaped fluid-driven fracture is obtained semianalytically. Scaling considerations indicate that the portion of the fracture that is filled with fluid increases with time according to a power law. The problem is shown to be self-similar at the length scale of the small fluid-filled region and to depend on only the mean fluid pressure at the length scale of the fracture. This similarity solution is unusual as the two length scales of the problem—the radius of the fracture and the radius of the fluid front—evolve according to two different power laws of time. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%282007%29133%3A5%2853 [...]