Self-Similar Propagation of a Hydraulic Fracture in a Poroelastic Medium

Emmanuel M Detournay, Yera Hakobyan, Robin Eve

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

This paper considers the plane strain problem of a hydraulic fracture propagating in a poroelastic medium, as a result of injection of fluid from a well. It describes an asymptotic solution that is applicable provided that four conditions are met: (i) the material toughness is negligible; (ii) the viscosity of the injected fluid is similar to that of the native pore-fluid; (iii) the medium has a large permeability relative to the fracture conductivity; and (iv) the injection rate is small enough that the fracture propagates inside the growing region around the well, where the pore pressure field is quasi-stationary. If these conditions are met, the fracture propagates stably in a self-similar manner, with its length and aperture growing as square root of time. Because the fracture remains in the quasi steady-state region, poroelastic effects are fully developed and significantly impact crack growth.

Original languageEnglish (US)
Title of host publicationPoromechanics 2017 - Proceedings of the 6th Biot Conference on Poromechanics
EditorsPatrick Dangla, Jean-Michel Pereira, Siavash Ghabezloo, Matthieu Vandamme
PublisherAmerican Society of Civil Engineers (ASCE)
Pages1909-1914
Number of pages6
ISBN (Electronic)9780784480779
DOIs
StatePublished - Jan 1 2017
Event6th Biot Conference on Poromechanics, Poromechanics 2017 - Paris, France
Duration: Jul 9 2017Jul 13 2017

Publication series

NamePoromechanics 2017 - Proceedings of the 6th Biot Conference on Poromechanics

Other

Other6th Biot Conference on Poromechanics, Poromechanics 2017
CountryFrance
CityParis
Period7/9/177/13/17

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