Fractured water injection wells: Pressure transient analysis

Shelukhin, V. V.; Байков, В А; Головин, С. В.; Davletbaev, A. Ya.; Starovoitov, V. N.

doi:10.1016/j.ijsolstr.2014.02.019

Cited by 18 publications

(18 citation statements)

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“…In this paper we make use of a model proposed in Shelukhin et al (2014). The mathematical statement of the problem reads as follows.…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…A more reliable mathematical model of a fracture in a poroelastic medium which allows for determination of both pore pressure and elastic rock displacements jointly with the fracture aperture and fracture fluid pressure was developed in Shelukhin et al (2014). In this model the poroelastic material near the fracture is considered as a homogeneous permeable medium governed by Biot equations (Biot, 1955(Biot, , 1956.…”

Section: Introductionmentioning

confidence: 99%

“…Interaction of the reservoir and fracturing fluid is described naturally within the unified pressure field. The numerical algorithm presented in Shelukhin et al (2014), based on the finite element method, was numerically tested for convergence, although no comparison with the exact solution was done.…”

Section: Introductionmentioning

confidence: 99%

“…poroelastic medium (Shelukhin et al, 2014) and to demonstrate its applicability for validation of numerical algorithms. The obtained solution describes an equilibrium of a semi-infinite fracture sustained by a dipole-type filtration flow of fracturing and pore fluid in the vicinity of a fracture's tip.…”

Section: Introductionmentioning

confidence: 99%

“…The obtained solution describes an equilibrium of a semi-infinite fracture sustained by a dipole-type filtration flow of fracturing and pore fluid in the vicinity of a fracture's tip. The solution is used for verification of the numerical algorithm of paper (Shelukhin et al, 2014) for the pressure transient analysis in water injection wells.…”

Section: Introductionmentioning

confidence: 99%

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Stationary dipole at the fracture tip in a poroelastic medium

Головин

Baykin

2015

International Journal of Solids and Structures

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a b s t r a c t 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.

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“…In this paper we make use of a model proposed in Shelukhin et al (2014). The mathematical statement of the problem reads as follows.…”

Section: Statement Of the Problemmentioning

confidence: 99%