The Tip Region of a Fluid-Driven Fracture in an Elastic Medium

By D. Garagash, Emmanuel Detournay. 2000

319 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e826846537acc0a3a072f97e44887a984a612483

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In Civil and Structural Engineering

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

On the moving boundary conditions for a hydraulic fracture (2014, background): “We now imagine that r0 increases and becomes large compared to the reference stress r ¼ 3plVE02=8K2Ic (Garagash & Detournay, 2000), where V ¼ jV cj ’ jV f j.”
Injection-Sensitive Mechanics of Hydraulic Fracture Interaction with Discontinuities (2014, background): “…the fact that the mechanics of fully coupled fracture propagation in a planar geometry has been thoroughly studied analytically (Garagash 2006; Garagash and Detournay 2000, 2005, 2007; Adachi and Detournay 2002; Detournay 2004), the accurate coupled solution of the equations for the whole…”
A fixed grid algorithm for simulating the propagation of a shallow hydraulic fracture with a fluid lag (2011, background): “The presence of a lag, although introducing a new moving boundary, eliminates the issues associated with the degeneracy of the lubrication equation at the moving front, which is responsible for the existence of a complex velocity-dependent multiscale tip asymptotics [26, 31, 32].”
An extended finite element method for hydraulic fracture problems (2009, background): “In the viscosity-dominated regime of propagation, the LEFM asymptote is confined to a vanishingly small region at the fracture tip and the dominant asymptotic behaves as w∼(x−xtip) with != 3 near the tip while the fluid pressure is singular p∼(x−xtip)−1/3 (see [2, 13] for details).”
Toughness-dominated Hydraulic Fracture with Leak-off (2005, background): “for all τ> 0, thus the deviation from constant pressure distribution is of the same order as Mk. Furthermore, the fluid lag cannot exist in the absence of a pressure gradient, thus the zero-lag assumption is valid for small values of Mk ( Garagash, 2000, 2005b ).”
A non-singular integral equation formulation to analyse multiscale behaviour in semi-infinite hydraulic fractures (2015, background): “Other studies that involve a steadily propagating semi-infinite hydraulic fracture consider the effects of power-law fluid (Desroches et al. 1994; Lenoach 1995), account for the fluid lag (Garagash & Detournay 2000) or include poroelastic effects (Kovalyshen & Detournay 2013).”
An implicit level set method for modeling hydraulically driven fractures (2008, methodology): “(27) are in fact identical to the governing equations for the problem of a semi-infinite fluid-driven fracture steadily propagating at a constant velocity and characterized by zero lag [24,26].”
Propagation of a hydraulic fracture parallel to a free surface (2005, background): “Fluid lag is the non-wetted zone that exists between the tip and the fluid front in a hydraulic fracture and its size depends in a sensitive manner on the normal stress so acting across the fracture plane [26].”