Stationary dipole at the fracture tip in a poroelastic medium. (September 2015)

• Record Type: Journal Article
• Authors: Golovin, S.V.; Baykin, A.N.
• Is Part Of: International journal of solids and structures. Volume 69/70(2015)
• Page Start: 305
• Page End: 310
• Publication Date: 2015-09
• Subjects: Hydraulic fracture -- Poroelastic material -- Exact solution -- Dipole -- Filtration; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2015.05.020
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: This paper presents an analytic self-similar solution describing an equilibrium of a planar semi-infinite hydraulic fracture in a poroelastic medium. The equilibrium of the fracture is sustained by a balance between the pressure of fluid within the fracture and the confining stress due to elasticity of nearby poroelastic material satisfying the Biot model assumptions. Propagation of fluid in the fracture, leakoff through the fracture's walls and filtration in the poroelastic medium towards the fracture's tip form a dipole-type pattern of flow. The solution is used for the verification of a numerical algorithm developed earlier for the pressure transient analysis in water injection wells.