Group invariant solution for a pre-existing fracture driven by a power-law fluid in impermeable rock

DOI10.1016/j.cnsns.2013.04.019zbMath1344.76083OpenAlexW2095523925MaRDI QIDQ312820

D. P. Mason, A. G. Fareo

Publication date: 9 September 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.04.019

zbMATH Keywords

fluid-solid interactionsimilarity solutionnon-Newtonian fluidlubrication theorynonlinear diffusionLie point symmetrieshydraulic fracturePKN fracture theorypower-law rheology

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Lubrication theory (76D08) Flows in porous media; filtration; seepage (76S05)

Related Items (1)

Applications of group theoretical methods to non-Newtonian fluid flow models: survey of results

Cites Work

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• Group invariant solution for a pre-existing fluid-driven fracture in impermeable rock
• Asymptotic analysis of an elasticity equation for a finger-like hydraulic fracture
• An implicit level set method for modeling hydraulically driven fractures
• Two-dimensional viscous gravity currents flowing over a deep porous medium
• Self-similar solution of a plane-strain fracture driven by a power-law fluid
• An Asymptotic Framework for the Analysis of Hydraulic Fractures: The Impermeable Case
• Self-similar solutions for elastohydrodynamic cavity flow
• Buoyancy-driven fluid fracture: the effects of material toughness and of low-viscosity precursors
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

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