A HYDRAULIC FRACTURE IN A TRANSVERSELY-ISOTROPIC POROELASTIC MEDIUM

Authors
GORDEYEV YN
Citation
Yn. Gordeyev, A HYDRAULIC FRACTURE IN A TRANSVERSELY-ISOTROPIC POROELASTIC MEDIUM, Journal of applied mathematics and mechanics, 59(4), 1995, pp. 645-656
Citations number
21
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
59
Issue
4
Year of publication
1995
Pages
645 - 656
Database
ISI
SICI code
0021-8928(1995)59:4<645:AHFIAT>2.0.ZU;2-G
Abstract
The problems of plane and axisymmetric disk-shaped cracks in hydraulic fracture [1, 2] are considered in transversely-isotropic poroelastic media saturated with fluid. The crack is opened up by a flux of viscou s fluid filtering through a stratum. The stressed state and deformatio n of the poroelastic media is described by the Blot equations [3]. An analytic solution is found for a stationary ''ideal'' disk-shaped crac k along which the pressure is constant.