On efficient simulation of hydraulic fracturing in terms of particle velocity

DOI10.1016/j.ijengsci.2011.11.009zbMath1423.76429OpenAlexW2012430388MaRDI QIDQ1659835

Aleksandr M. Linkov

Publication date: 23 August 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2011.11.009

zbMATH Keywords

analytical solutionshydraulic fracturingparticle velocityspeed equation

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Lubrication theory (76D08) Flows in porous media; filtration; seepage (76S05) Boundary element methods applied to problems in fluid mechanics (76M15)

Related Items

On comparison of thinning fluids used for hydraulic fracturing ⋮ Hydraulic fracture revisited: particle velocity based simulation ⋮ On the impact of tangential traction on the crack surfaces induced by fluid in hydraulic fracture: response to the letter of A. M. Linkov ⋮ Discrete model of hydraulic fracture crack propagation in homogeneous isotropic elastic media ⋮ On the moving boundary conditions for a hydraulic fracture ⋮ On modeling hydraulic fracture in proper variables: stiffness, accuracy, sensitivity ⋮ Solution of a plane hydrofracture problem with stress contrast ⋮ The particle velocity, speed equation and universal asymptotics for the efficient modelling of hydraulic fractures ⋮ Energy release rate, the crack closure integral and admissible singular fields in fracture mechanics

Cites Work

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• Self-similar solution of a plane-strain fracture driven by a power-law fluid
• The Tip Region of a Fluid-Driven Fracture in an Elastic Medium
• An Asymptotic Framework for the Analysis of Hydraulic Fractures: The Impermeable Case
• Self-similar solutions for elastohydrodynamic cavity flow
• The crack tip region in hydraulic fracturing
• A dual mesh multigrid preconditioner for the efficient solution of hydraulically driven fracture problems

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