A group invariant solution for a pre-existing fluid-driven fracture in permeable rock

DOI10.1016/j.nonrwa.2010.08.004zbMath1202.35015OpenAlexW2064645862MaRDI QIDQ611303

A. G. Fareo, D. P. Mason

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.08.004

zbMATH Keywords

similarity solutionlubrication theorynonlinear diffusionviscous incompressible Newtonian fluidLie point symmetryleak-off velocityPKN hydraulic fracture

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Symmetries, invariants, etc. in context of PDEs (35B06)

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