Hydraulic fracture numerical model free of explicit tip tracking

Головин, С. В.; Isaev, V. I.; Baykin, A. N.; Kuznetsov, Dmitry; Mamontov, A. E.

doi:10.1016/j.ijrmms.2015.03.003

Cited by 9 publications

(6 citation statements)

References 13 publications

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“…Note that linear elastic fracture mechanics model also simplifies when the fracture path is predetermined, reducing the complexity of finding the fracture front within a priori known planes (Hunsweck et al, 2013;Golovin et al, 2015).…”

Section: Growth Along a Pre-defined Pathmentioning

confidence: 99%

Numerical methods for hydraulic fracture propagation: A review of recent trends

Lecampion

Bunger

Zhang

2018

Journal of Natural Gas Science and Engineering

350

172

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Section: Growth Along a Pre-defined Pathmentioning

confidence: 99%

Numerical methods for hydraulic fracture propagation: A review of recent trends

Lecampion

Bunger

Zhang

2018

Journal of Natural Gas Science and Engineering

350

172

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“…In order to fix the computational domain, we use the method similar to the one proposed in [15]. Namely, we treat the set Γ f as a path of the potential fracture propagation that has a closed part where v = 0 and an opened part where v > 0.…”

Section: Numerical Algorithmmentioning

confidence: 99%

“…In order to conduct the thorough study of the influence of the pore pressure and the fluid filtration to the fracture propagation, we distinguish the Biot's number α in equilibrium equation (15) and in filtration equation ( 16) by denoting it as α e and α f respectively. So that the case α e = 0, α f = 0 implies zero impact of the pore pressure to the stress, whereas the case α e = 0, α f = 0 corresponds to the uncoupled rock deformation and fluid filtration processes.…”

Section: The Biot's Numbermentioning

confidence: 99%

“…The numerical solution of the problem is carried out by the finite element method with the use of a modification of the algorithm suggested in [14]. We use an approach of modelling free of explicit tracking of the fracture's tip similar to the one used in [15]. The advantage of our model is that we do not need to rebuild the computational mesh according to propagation of the fracture, which is typical for problems of this type.…”

Section: Introductionmentioning

confidence: 99%

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Influence of pore pressure on the development of a hydraulic fracture in poroelastic medium

Головин

Baykin

2018

International Journal of Rock Mechanics and Mining Sciences

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In this paper we demonstrate the influence of the pore pressure to the development of a hydraulically-driven fracture in a poroelastic medium. We present a novel numerical model for propagation of a planar hydraulic fracture and prove its correctness by demonstration of the numerical convergence and by comparison with known solutions. The advantage of the algorithm is that it does not require the distinguishing of the fracture's tips and reconstruction of the numerical mesh according to the fracture propagation. Next, we perform a thorough analysis of the interplay of fluid filtration and redistribution of stresses near the fracture. We demonstrate that the fracture length decreases with the increase of the Biot's number (the parameter that determines the contribution of the pore pressure to the stress) and explain this effect by analysing the near-fracture pore pressure, rock deformation and stresses. We conclude, that the correct account for the fluid exchange between the fracture and the rock should be based not only on physical parameters of the rock and fluid, but also on the analysis of stresses near the fracture.

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“…Using the transformations (20) and expressing the fluid flow rate in terms of the crack aperture and the particle velocity, one can rewrite the continuity equation (2) as:…”

Section: Normalizationmentioning

confidence: 99%

Universal hydrofracturing algorithm for shear-thinning fluids: Particle velocity based simulation

Perkowska

Wróbel

Mishuris

2016

Computers and Geotechnics

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A universal particle velocity based algorithm for simulating hydraulic fractures, previously proposed for Newtonian fluids, is extended to the class of shear-thinning fluids. The scheme is not limited to any particular elasticity operator or crack propagation regime. The computations are based on two dependent variables: the crack opening and the reduced particle velocity. The application of the latter facilitates utilization of the local condition of Stefan type (speed equation) to trace the fracture front. The condition is given in a general explicit form which relates the crack propagation speed (and the crack length) to the solution tip asymptotics. The utilization of a modular structure, and the adaptive character of its basic blocks, result in a flexible numerical scheme. The computational accuracy of the proposed algorithm is validated against a number of analytical benchmark solutions.

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Hydraulic fracture numerical model free of explicit tip tracking

Cited by 9 publications

References 13 publications

Numerical methods for hydraulic fracture propagation: A review of recent trends

Numerical methods for hydraulic fracture propagation: A review of recent trends

Influence of pore pressure on the development of a hydraulic fracture in poroelastic medium

Universal hydrofracturing algorithm for shear-thinning fluids: Particle velocity based simulation

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