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

Kanin, Evgenii; Garagash, Dmitry I.; Осипцов, А. Н.

doi:10.1017/jfm.2020.193

Cited by 16 publications

(15 citation statements)

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“…The pore fluid volume flowed into the fracture eventually leaks out from the fracture. This leads to the establishment of the circulation zone, in which the total leak-in and leak-off are balanced, as shown in figure 1b (Kanin et al, 2020).…”

Section: Problem Definitionmentioning

confidence: 99%

“…Schematics of the fracture tip model with the pressure-dependent fluid exchange is presented in figure 1b. The detailed description of this model is provided in Kanin et al (2020), while here we discuss only the main findings that are relevant for the paper. Generally, the near-tip region model is represented by a semi-infinite fracture, which propagates with a constant velocity , where the latter corresponds to the instantaneous local tip velocity of the finite (parent) hydraulic fracture.…”

Section: The Near-tip Region Model Of a Finite Fracture With Pressurementioning

confidence: 99%

“…The effects of fluid lag are discussed in works (Rubin, 1993;Garagash and Detournay, 2000). The effect of leak-off of the fracturing fluid into the reservoir is analysed in works (Lenoach, 1995;Garagash et al, 2011;Dontsov and Peirce, 2015b), and the more complicated models accounting the pore pressure diffusion and poroelasticity effects are presented by Detournay and Garagash (2003); Kovalyshen (2010); Kanin et al (2020). The effect of turbulent flow inside the fracture is analysed in (Dontsov, 2016c;Lecampion and Zia, 2019), the effect of non-Newtonian fluid rheology of the hydraulic fracturing fluid is studied in (Moukhtari and Lecampion, 2018;Dontsov and Kresse, 2018;Bessmertnykh and Dontsov, 2019), while the influence of the cohesive zone near the fracture front and constraints to the use of the LEFM in hydraulic fracturing are presented in .…”

Section: Introductionmentioning

confidence: 99%

“…It is built on the assumption that the fluid pressure inside the fracture can be approximately taken equal to the far-field confinement stress when solving for the pore fluid diffusion and associated fluid leak-off. The recent study (Kanin et al, 2020) demonstrates that this assumption can be violated in the region adjacent to the crack front in which the fluid pressure can drop below the far-field confinement stress, and further can drop even below the pore fluid pressure resulting in the inflow process rather than the leak-off. In order to capture such an effect, it is necessary to refine the fluid exchange mechanism by introducing pressure dependence into the leak-off process.…”

Section: Introductionmentioning

confidence: 99%

“…In the present work, we implement numerical model for the radial fracture, which accounts for the pressure-dependent fluid exchange. For the accurate description of the processes occurring near the fracture tip, we use the near-tip model developed in Kanin et al (2020). The main aim of this paper is to compare the radial fracture characteristics (opening, pressure, radius and efficiency profiles) obtained via the developed model with the results calculated by the radial fracture model with Carter's leak-off (Madyarova, 2004;Dontsov, 2016a) in order to specify cases, in which the pressure-dependent effects are essential and could not be neglected.…”

Section: Introductionmentioning

confidence: 99%

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A radial hydraulic fracture with pressure-dependent leak-off

Kanin

Dontsov

Garagash

et al. 2020

Journal of the Mechanics and Physics of Solids

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This paper investigates the problem of a radial (or penny-shaped) hydraulic fracture propagating in a permeable reservoir. In particular, we consider the fluid exchange between the crack and ambient porous media as a pressure-dependent process. In most of the existing models, the fluid exchange process is represented as one-dimensional pressure-independent leak-off described by Carter's law. We modify this mechanism by including the dependence of the fluid-exchange rate on the fluid pressure inside the fracture. The proposed approach allows the liquid not only to flow out of the fracture but also to leak-in along the region adjacent to the fracture front. The complete model for hydraulic fracturing involves several physical processes that determine the crack propagation, namely, brittle rock failure, elastic equilibrium of rock, viscous fluid flow inside the fracture channel, and fluid exchange. In order to resolve these phenomena near the fracture front in the numerical scheme, we utilise a special asymptotic multi-scale model for the near-tip region, which is used as a propagation condition for the finite fracture. The main aspect of the analysis is a comparison of fracture characteristics such as aperture profile, radius and others calculated via the proposed model with the results of the radial fracture model that assumes standard pressure-independent fluid exchange mechanism governed by Carter's law. Based on the comparison, we determine parameter ranges, for which the effect of the pressure-dependent fluid exchange mechanism is essential, and, on the other hand, outline zones for which Carter's leak-off model provides accurate results. Finally, by using an approximate solution for the radial fracture with Carter's leak-off, we perform estimates of the effect for the entire parametric space, which allows one to evaluate the influence of the pressure-dependent leak-off for any problem parameters.

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Section: Problem Definitionmentioning

confidence: 99%

Section: The Near-tip Region Model Of a Finite Fracture With Pressurementioning

confidence: 99%