Buoyancy-driven crack propagation: the limit of large fracture toughness

DOI10.1017/S0022112007005472zbMath1114.74052OpenAlexW2067216138MaRDI QIDQ3446945

John R. Lister, Steven M. Roper

Publication date: 27 June 2007

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112007005472

zbMATH Keywords

asymptotic solutionshydrostatic pressure gradientviscous pressure gradient

Mathematics Subject Classification ID

Brittle fracture (74R10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Lubrication theory (76D08)

Related Items (12)

Three-dimensional buoyant hydraulic fractures: constant release from a point source ⋮ Enrichment strategies and convergence properties of the XFEM for hydraulic fracture problems ⋮ Multiscale tip asymptotics for a deflating hydraulic fracture with leak-off ⋮ Integrated simulation of three-dimensional hydraulic fracture propagation and Lagrangian proppant transport in multilayered reservoirs ⋮ Implicit level set algorithms for modelling hydraulic fracture propagation ⋮ Propagation regimes of buoyancy-driven hydraulic fractures with solidification ⋮ A Hermite cubic collocation scheme for plane strain hydraulic fractures ⋮ A non-singular integral equation formulation to analyse multiscale behaviour in semi-infinite hydraulic fractures ⋮ A multiscale implicit level set algorithm (ILSA) to model hydraulic fracture propagation incorporating combined viscous, toughness, and leak-off asymptotics ⋮ A semi-infinite hydraulic fracture with leak-off driven by a power-law fluid ⋮ Fingering instability in buoyancy-driven fluid-filled cracks ⋮ A fixed grid algorithm for simulating the propagation of a shallow hydraulic fracture with a fluid lag

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