Self-similar problems of propagation of an extended hydrofracture in a permeable medium
type: Item
instance of: scholarly article
title: Self-similar problems of propagation of an extended hydrofracture in a permeable medium
zbMATH Open document ID: 0802.76081
DOI: 10.1007/BF01052089
author: Yu. N. Gordeev
published in: Fluid Dynamics
publication date: 1994-04-12T00:00:00Z
review text: The author studies the propagation of an extended hydrofracture in a permeable elastic medium when the viscous fluid is injected. The motion of the fluid in the fracture is taken as turbulent; the filtration equation describes the flow in the porous medium. The problem finally reduces to the integration of a one-dimensional integral equation, which is performed by successive approximations. Asymptotic behaviour of the solution is discussed near the tip and well of the fracture.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74F10
zbMATH DE Number: 536723
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: elastic medium
zbMATH Keywords: viscous fluid
zbMATH Keywords: filtration equation
zbMATH Keywords: one-dimensional integral equation
zbMATH Keywords: successive approximations
reviewed by: Y. N. Gaur
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf01052089
OpenAlex ID: W2071663142
description: scientific article; zbMATH DE number 536723