Coupling schemes for modeling hydraulic fracture propagation using the XFEM

Gordeliy, Elizaveta; Peirce, Anthony

doi:10.1016/j.cma.2012.08.017

Cited by 214 publications

(105 citation statements)

References 37 publications

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“…A number of different strategies can be adopted in order to solve for such a coupling (see Gordeliy and Peirce (2013a) for a complete discussion and the benefits of a mixed formulation). Another important point relates to the choice of the tip enrichment functions.…”

Section: Extended / Generalized Finite Element Formulationsmentioning

confidence: 99%

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

Lecampion

Bunger

Zhang

2018

Journal of Natural Gas Science and Engineering

335

172

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Section: Extended / Generalized Finite Element Formulationsmentioning

confidence: 99%

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

Lecampion

Bunger

Zhang

2018

Journal of Natural Gas Science and Engineering

335

172

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“…(2015) 12:304-315 305 surfaces. Different coupled hydro-mechanical formulations of XFEM were also proposed in several studies to simulate hydraulic fracturing in porous media, while the injected fluid can permeate into the surrounding rocks (Mohammadnejad and Khoei 2013;Gordeliy and Peirce 2013;Gholami et al 2013). Here, to consider the gas flow through the fractures, a one-dimensional transient flow model governed by conservation of mass and momentum (Nilson and Griffiths 1983;Nilson et al 1985) is adopted.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of rock fracturing by gas pressure using the extended finite element method

2015

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High energy gas fracturing is a simple approach of applying high pressure gas to stimulate wells by generating several radial cracks without creating any other damages to the wells. In this paper, a numerical algorithm is proposed to quantitatively simulate propagation of these fractures around a pressurized hole as a quasi-static phenomenon. The gas flow through the cracks is assumed as a one-dimensional transient flow, governed by equations of conservation of mass and momentum. The fractured medium is modeled with the extended finite element method, and the stress intensity factor is calculated by the simple, though sufficiently accurate, displacement extrapolation method. To evaluate the proposed algorithm, two field tests are simulated and the unknown parameters are determined through calibration. Sensitivity analyses are performed on the main effective parameters. Considering that the level of uncertainty is very high in these types of engineering problems, the results show a good agreement with the experimental data. They are also consistent with the theory that the final crack length is mainly determined by the gas pressure rather than the initial crack length produced by the stress waves.

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“…Gordeliy and Peirce [10] described coupled algorithms that use the XFEM to solve the elastic crack component of the elasto-hydrodynamic equations that govern the propagation of hydraulic fractures in an elastic medium. But both of them ignored the filtration of fracturing fluid.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Hydraulic Fracturing Based on the Extended Finite Element Method

Liang

Liu

et al. 2017

Proceedings of the 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)

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Abstract-This paper proposed a numerical model to simulate the hydraulic fracture propagation based on the extended finite element method(XFEM), in which a fracture representation is explicit and independent of the mesh grid. The fully coupled formulation described various physical phenomena, including the solid skeleton deformation as well as the fluid flow in porous medium, along the fracture and through the fracture sides toward the surrounding porous medium. The interactive integral method is applied to calculate the stress intensity factor in consideration of fluid pressure on fracture faces. The maximum circumferential stress criterion is used for identifying the fracture growth condition and orientation. In comparison with the current existing XFEM models for hydraulic fracturing, this approach neither needs to introduce leak-off coefficient to describe the fluid leak-off phenomenon, nor requires to assume fracture propagation orientation. Data indicates that the model is valid through a comparison of the model numerical solutions with the semi-analytical(KGD) solution . In the end, fractures simultaneously propagate from three perforating clusters in the horizontal well is simulated at the end of this paper.Keywords-extended finite element method; hydraulic fracture propagation; the interactive integral; horizontal well

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Coupling schemes for modeling hydraulic fracture propagation using the XFEM

Cited by 214 publications

References 37 publications

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

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

Numerical analysis of rock fracturing by gas pressure using the extended finite element method

Numerical Simulation of Hydraulic Fracturing Based on the Extended Finite Element Method

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