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  4. The tip region of a hydraulic fracture driven by a power law fluid
 
conference poster not in proceedings

The tip region of a hydraulic fracture driven by a power law fluid

Moukhtari, Fatima-Ezzahra  
•
Lecampion, Brice  
2016
14th Swiss Geosciences Meeting

We investigate the tip region of a hydraulic fracture driven by a power law fluid propagating at a constant velocity V in an impermeable linear elastic medium. We account for the presence of a fluid lag of a priori unknown length at the tip of the fracture. The fluid pressurized fracture propagates perpendicular to the far-field compressive minimum stress in pure opening mode (see Fig.1a). The solution of this semi-infinite hydraulic fracture problem combines elastic deformation, lubrication flow in the filled region of the fracture and the quasi-static fracture propagation condition. It exhibits a multiscale structure related to the strong fluid solid coupling at play near the fracture tip. For a Newtonian fluid, the solution derived by Garagash & Detournay (2000) transition from the classical linear elastic fracture mechanics asymptote near the tip to the viscous asymptote (Desroches et al., 1994) away from the tip (see Fig.1b). The fluid lag was shown to vanish for large values of a dimensionless fracture toughness encapsulating all the problem parameters.

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Type
conference poster not in proceedings
Author(s)
Moukhtari, Fatima-Ezzahra  
Lecampion, Brice  
Date Issued

2016

Written at

EPFL

EPFL units
GEL  
Event nameEvent placeEvent date
14th Swiss Geosciences Meeting

Geneva, Switzerland

November 18, 2016

Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/134015
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