Self-similar solutions of the problem of formation of a hydraulic fracture in a porous medium

DOI10.1134/S0015462807010073zbMath1200.76191MaRDI QIDQ605807

N. N. Smirnov, V. P. Tagirova

Publication date: 25 November 2010

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

self-similarityviscous fluidhydraulic fractureflow through a porous medium

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55)

Related Items (4)

Generalized diffusion of vortex: self-similarity and the Stefan problem ⋮ Problem of propagation of a gas fracture in a porous medium ⋮ Квазиодномерная модель гиперболического типа гидроразрыва пласта ⋮ Problem of blocking a technogenic fracture in the reservoir using a suspension mixture

Cites Work

• Self-similar solution of a plane-strain fracture driven by a power-law fluid
• Transient solution for a plane-strain fracture driven by a shear-thinning, power-law fluid
• Buoyancy-driven fluid fracture: the effects of material toughness and of low-viscosity precursors
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