Propagation of a penny-shaped fluid-driven fracture in an impermeable rock: Asymptotic solutions

By A. Savitski, Emmanuel Detournay. 2002

410 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanical Engineering, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/460ffe659cb24fe6ef01a31b0556eb579c0946b0

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Citations in the corpus

Propagation of a plane-strain hydraulic fracture with a fluid lag: Early-time solution (2006, background): “…(e.g., Perkins and Kern, 1961; Geertsma and de Klerk, 1969; Abé et al., 1976; Spence and Sharp, 1985; Huang et al., 1990; Carbonell et al., 1999; Savitski and Detournay, 2002; Garagash, in press; Garagash and Detournay, 2005) or in solutions of a fracture with a priori unknown lag under…”
Coupled hydromechanical‐fracture simulations of nonplanar three‐dimensional hydraulic fracture propagation (2018, methodology): “the higher viscosity fluid will result in a viscosity-storage dominated regime.(29,50) The parameters for the GD model are taken as Δamax = 0.”
Toughness-dominated Hydraulic Fracture with Leak-off (2005, background): “For the radial fracture, it may be shown that the fracture evolves not only from storage to leak-off, but also from viscosity to toughness (Savitski and Detournay, 2002).”
Hydraulic fracture revisited: Particle velocity based simulation (2015, background): “Savitski and Detournay (2002) have proposed asymptotic solutions in the case of a penny shaped fracture driven by the Newtonian fluid for both small and large toughness values.”
Numerical modeling of hydraulic fracture problem in permeable medium using cohesive zone model (2012, background): “Therefore, this propagation regime is the focus of numerous works [3, 41].”
A model for turbulent hydraulic fracture and application to crack propagation at glacier beds (2010, methodology): “…recently, the topic has been explored in depth 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,…”
An Asymptotic Framework for the Analysis of Hydraulic Fractures: The Impermeable Case (2007, background): “These include the following asymptotic regimes: impermeable with zero toughness [23‐25], small toughness [26], finite toughness [16, 27], and large toughness [ 25 , 28]; and permeable with zero toughness [29].”
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, 2002).”