2D coupled HM-XFEM modeling with cohesive zone model and applications to fluid-driven fracture network

Faivre, Maxime; Paul, Bertrand; Golfier, Fabrice; Giot, Richard; Massin, Patrick; Colombo, Daniele

doi:10.1016/j.engfracmech.2016.03.029

Cited by 54 publications

(35 citation statements)

References 85 publications

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“…. End * is the admissible error of the Newton-Raphson iteration and w n d n is obtained from (22). Therefore, the increments of the primary variables, Δd and Δp, at the ith iteration of time t = t n , are determined from the linear system…”

Section: Fully Coupled Solutionmentioning

confidence: 99%

“…2 The first trend focuses on improving the computational aspects of the models by employing state-of-the-art numerical techniques to develop models that overcome the limitations of their existing counterparts. Examples are studies that employed different variations of the boundary integrals method, [3][4][5][6][7][8][9][10][11] finite element method, [12][13][14][15][16] extended/generalized finite elements, [17][18][19][20][21][22][23][24][25][26][27][28][29][30] phase field methods, [31][32][33][34][35][36] and hybrid finite element/eXtended finite element-distinct element techniques (FEM-DEM or XFEM-DEM) [37][38][39][40] to develop 2D and 3D HF models. Additionally, some recent studies have coupled boundary integral or extended finite element methods with fracture tip asymptotes and presented efficient multiscale models of HFs under different propagation regimes.…”

Section: Introductionmentioning

confidence: 99%

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On the undrained and drained hydraulic fracture splits

Esfahani

Gracie

2019

Numerical Meth Engineering

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Summary The simulation of hydraulic fracturing (HF) involves the solution of a hydro‐mechanically coupled system. This article presents a new iterative sequential coupling algorithm, the undrained HF split, that improves the simulation of HFs in impermeable media. A poromechanics analogy is used to derive a stable split for the hydro‐mechanically coupled system in which the mechanical subproblem is solved first. The proposed undrained HF split is applied to the simulation of cohesive HFs in an impermeable elastic medium. The cubic law is used as the constitutive model for simulating fluid flow in fractures. A minimum hydraulic aperture is assumed in the cohesive tip zone, where the mechanical aperture smoothly vanishes. While general in its nature, the undrained HF splitting scheme is employed within the context of a two‐dimensional eXtended finite element model for the fractured solid, and a regular finite element model for fluid in the fracture. The undrained HF split is successfully used to simulate self‐similar plane strain HFs as well as the propagation of HFs from a wellbore under anisotropic stress conditions. Fracture trajectories and local alteration of stress field are investigated. The solution of the undrained HF split converges to the same solution as the fully coupled model, whereas the commonly used P→W sequential algorithm, referred to in this article as the drained HF split, generates spurious oscillations and fails to converge in many problems. The undrained HF split is shown to be stable and robust in applications where the drained HF split is unstable.

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Section: Fully Coupled Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the undrained and drained hydraulic fracture splits

Esfahani

Gracie

2019

Numerical Meth Engineering

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“…When using XFEM for fluid infiltrated medium, a proper enrichment needs to be implemented to reproduce the pore-pressure variation in the solid matrix associated with the fracture (discontinuity in the pressure gradient normal to the fracture). Different schemes have been proposed (Mohammadnejad and Khoei, 2013a;Faivre et al, 2016;Meschke and Leonhart, 2015). The lack of consistent benchmarking and convergence studies renders the discussion on the efficiency and robustness of these different schemes rather difficult.…”

Section: Extended / Generalized Finite Element Formulationsmentioning

confidence: 99%

“…In 2D, using an extension of XFEM accounting for poroelasticity, a cohesive zone approach within an XFEM formulation appears to properly reproduce the known solutions for a planestrain propagating hydraulic fracture (Faivre et al, 2016). See also Mohammadnejad and Khoei (2013a,b); Salimzadeh and Khalili (2015) for the fully or partially saturated case but with fewer benchmarks, and Mohammadnejad and Andrade (2016) for the case of fracture closure and re-opening.…”

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

309

172

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“…The damage evolution is defined via cohesive segment at which the fracture energy is released once the corresponding initiation criterion is reached. In this respect, the TSL was employed for a fracture mechanics analysis . Although there are several kinds of typical shapes constructing the TSL, their effects are not significant .…”

Section: Analysis Methodsmentioning

confidence: 99%

Crack growth evaluation by XFEM for nuclear pipes considering thermal aging embrittlement effect

Sim

Chang

2018

Fatigue Fract Eng Mat Struct

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Since thermal aging embrittlement (TE) causes loss of fracture toughness and may lead to failure, it is one of structural integrity issues to be assessed in nuclear industry. In this study, crack growth simulation by using extended finite element method (XFEM) was carried out for CF8M base metal and ER316L weld metal, which are typical vulnerable materials. First, user subroutines were constructed to incorporate variation of mechanical properties of two materials due to the TE. In particular, with regard to ER316L, weld residual stress (WRS) distribution was considered. Second, validity of the subroutines and XFEM was confirmed by comparing with analytical and experimental data. Finally, crack growth analyses for nuclear pipes were performed by applying the verified methodology. Thereby, differences of the crack growth amounts and paths as the presence or absence of the TE and WRS were quantified and discussed.

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2D coupled HM-XFEM modeling with cohesive zone model and applications to fluid-driven fracture network

Cited by 54 publications

References 85 publications

On the undrained and drained hydraulic fracture splits

On the undrained and drained hydraulic fracture splits

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

Crack growth evaluation by XFEM for nuclear pipes considering thermal aging embrittlement effect

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