The crack tip solution for hydraulic fracturing in a permeable solid

DOI10.1016/0022-5096(95)00026-FzbMath0919.73254OpenAlexW1985790107MaRDI QIDQ1358838

Brian Lenoach

Publication date: 26 January 1999

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-5096(95)00026-f

zbMATH Keywords

asymptotic solutionsplane strainintegrable singularityCarter leak-off mechanismeffect of fluid lossfluid lag zonehigh permeability limitnear-tip solutionself-similar analytical solutions

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Fracture and damage (74R99)

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Cites Work

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• The averaging method for asymptotic evolutions. I: Stochastic differential equations
• Buoyancy-driven fluid fracture: similarity solutions for the horizontal and vertical propagation of fluid-filled cracks
• Plane strain fracture in poroelastic media
• The crack tip region in hydraulic fracturing

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