Plane-Strain Propagation of a Fluid-Driven Fracture: Small Toughness Solution

By D. Garagash, Emmanuel Detournay. 2005

150 citations recorded by the source corpus.

Subfields: Geophysics, Mechanical Engineering, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/298ab40a42b4c2399b74f0e3fe63c9b102958ef1

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Citations in the corpus

A model for turbulent hydraulic fracture and application to crack propagation at glacier beds (2010, background): “…theoretically [Lister, 1990; Desroches et al., 1994; Dyskin et al., 2000; Adachi and Detournay, 2002; Savitski and Detournay, 2002; Detournay, 2004; Garagash and Detournay, 2005; Roper and Lister, 2007], in the context of magma‐driven cracking [Rubin, 1995], and in the context of water‐aided…”
Plane-strain propagation of a fluid-driven fracture during injection and shut-in: Asymptotics of large toughness (2006, background): “In the viscosity-dominated regime (small K), Garagash and Detournay [13,11] have shown that (i) departure of the overall solution from the zero-toughness solution [8,14] is measured by EðKÞ 1⁄4 B1K with b ’ 3.”
An implicit level set method for modeling hydraulically driven fractures (2008, background): “(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].”
Hydraulic fracture revisited: Particle velocity based simulation (2015, methodology): “…toughness impermeable rock was analyzed in Adachi and Detournay (2002) and Savitski and Detournay (2002), small toughness zero-leak-off variant in Garagash and Detournay (2005), large toughness impermeable in Garagash (2007), and finite toughness permeable in Mitchell, Kuske, and Peirce (2007).”
Modeling multi-scale processes in hydraulic fracture propagation using the implicit level set algorithm (2015, methodology): “6) for the aperture w(s, t) and net pressure p(s) in the vicinity of the fracture front reduce to those for a semi-infinite fluid-driven fracture steadily propagating at a constant velocity V and characterized by zero lag (see [20,29]), namely:”
Propagation of a plane-strain hydraulic fracture with a fluid lag: Early-time solution (2006, background): “However, in the view of the complicated nature of the problem, most of the analytical efforts resulted in either solutions of a zero-lag fracture treating the hydromechanical coupling to a various degree of rigor (e.g., Perkins and Kern, 1961; Geertsma and de Klerk, 1969; Abé et al., 1976; Spence an”
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…”
On the moving boundary conditions for a hydraulic fracture (2014, background): “…for simple hydraulic fracture geometries (with zero lag): plane strain (Adachi, 2001; Adachi & Detournay, 2002, 2008; Garagash, 2006a, 2006b; Garagash & Detournay, 2005; Hu & Garagash, 2010) and radial (Bunger, Detournay, & Garagash, 2005; Madyarova & Detournay, 2013; Savitski & Detournay,…”