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The near-tip region of a hydraulic fracture with pressure-dependent leak-off and leak-in

Published online by Cambridge University Press:  06 April 2020

Evgenii A. Kanin Open the ORCID record for Evgenii A. Kanin [Opens in a new window] ,
Dmitry I. Garagash Open the ORCID record for Dmitry I. Garagash [Opens in a new window]  and
Andrei A. Osiptsov Open the ORCID record for Andrei A. Osiptsov [Opens in a new window]
Evgenii A. Kanin
Affiliation:
Multiphase Systems Lab, Skolkovo Institute of Science and Technology (Skoltech), 3 Nobel Street, Skolkovo Innovation Center, Moscow121205, Russian Federation
Dmitry I. Garagash*
Affiliation:
Multiphase Systems Lab, Skolkovo Institute of Science and Technology (Skoltech), 3 Nobel Street, Skolkovo Innovation Center, Moscow121205, Russian Federation Department of Civil and Resource Engineering, Dalhousie University, 1360 Barrington Street, Halifax, Nova ScotiaB3H 4R2, Canada
Andrei A. Osiptsov
Affiliation:
Multiphase Systems Lab, Skolkovo Institute of Science and Technology (Skoltech), 3 Nobel Street, Skolkovo Innovation Center, Moscow121205, Russian Federation
*
†Email address for correspondence: garagash@dal.ca
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Abstract

In this paper we consider the near-tip region of a fluid-driven fracture propagating in permeable rock. We attempt to accurately resolve the coupling between the physical processes – rock breakage, fluid pressure drop in the viscous fluid flow in the fracture and fluid exchange between the fracture and the rock – that exert influence on the hydraulic fracture propagation, yet occur over length scales often too small to be efficiently captured in existing coarse grid numerical models. We consider three fluid balance mechanisms: storage in the fracture, pore fluid leak-in from the rock into the fracture as the result of dynamic suction at the dilating crack tip, and fluid leak-off from the fracture into the rock as the fluid pressure in the fracture recovers with distance away from the tip. This process leads to the formation of a pore fluid circulation cell adjacent to the propagating fracture tip. We obtain the general numerical solution for the fracture opening and fluid pressure in the semi-infinite steadily propagating fracture model, while assuming that the hydraulic fracturing and pore fluids have the same properties. We fully characterise the solution within the problem parametric space and identify different regimes of the fracture propagation. We assess the impact of the pore fluid leak-in and the associated near-tip circulation cavity on the solution and explore limitations of the widely used, pressure-independent Carter’s leak-off model. The obtained solution could be potentially used as a tip element in the finite crack models (penny-shaped, Planar3D), provided that a fast numerical implementation is further elaborated.

JFM classification

Boundary Layers: Boundary layer structure Low-Reynolds-number flows: Porous media

Information

Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 892 , 10 June 2020 , A31
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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