Discrete element model for the analysis of fluid-saturated fractured poro-plastic medium based on sharp crack representation with embedded strong discontinuities

Nikolić, Mijo; Ibrahimbegović, Adnan; Miščević, Predrag

doi:10.1016/j.cma.2015.10.009

Cited by 37 publications

(25 citation statements)

References 35 publications

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“…Note that when ISO units are used, the elasticity constants are of the order of 10 9 Pa, whereas the Biot effective stress coefficient is between 0 and 1 and the coefficient 1/M is about of the order of about 10 −9 Pa −1 , resulting into ill-conditioning of the global matrix. To avoid this issue, we adopt GPa unit for pressure and elasticity constants, and 10 9 kg for mass as suggested in [55,43].…”

Section: Numerical Examplesmentioning

confidence: 99%

“…The earliest work on numerical modeling of hydraulic fracturing can be traced back to Boone and Ingraffea [6], who combined the finite element method and the finite difference method to solve the poroelasticity problem, where the fracture was modeled by a cohesive zone on an assumed crack path. Since then, several methods have been developed to simulate the hydraulic fracturing or crack propagation in fluidsaturated porous media such as the cohesive zone model, adaptive meshing strategies [45,46], approaches based on lattice, particle models, or discrete elements [12,51,19,52,20,43], extended finite element method (XFEM) for geometrically linear setting [13,44,37,36,21], or XFEM for nonlinear setting at finite strains [23].…”

Section: Introductionmentioning

confidence: 99%

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Phase field modeling of hydraulic fracturing with interfacial damage in highly heterogeneous fluid-saturated porous media

Xia

Yvonnet

Ghabezloo

2017

Engineering Fracture Mechanics

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International audienceIn this work, we propose an extension of the phase field model for the modeling of hydraulic fracturing or cracking in heterogeneous saturated porous media. The involved extensions comprise: (a) taking into account interfacial damage between the inclusions and the matrix; (b) modeling fluid flow within both matrix cracks and interfacial cracks; (c) the possibility to handle geometries of the heterogeneous media in the form of regular grids of voxels e.g. as obtained from experimental imaging techniques. The developed numerical framework is based on the phase field method with a regularized description of both bulk and interface discontinuities, extended to a fully coupled hydro-mechanical framework. Both 2D and 3D examples are presented for hydro-mechanical microcracking initiation and propagation in voxel-based models of complex heterogeneous media with interfacial damage between the inclusions and the matrix

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Section: Numerical Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Phase field modeling of hydraulic fracturing with interfacial damage in highly heterogeneous fluid-saturated porous media

Xia

Yvonnet

Ghabezloo

2017

Engineering Fracture Mechanics

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“…The presence of the voids determines a small degradation of the stiffness of the material, as it is shown in Fig. 24(b), and they have almost no effect on the reduction of the material strength, contrarily to what has been found in the case of bi-phase materials in which the voids represent a significant fraction of the material [76][77][78]. In the model a very small percentage of the voids has been adopted, since the occluded porosity resulting from the drying of the cement paste has been considered embedded in the mortar.…”

Section: Case IImentioning

confidence: 82%

A concrete homogenisation technique at meso-scale level accounting for damaging behaviour of cement paste and aggregates

Contrafatto

Cuomo

Gazzo

2016

Computers & Structures

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“…It should also be mentioned that the current treatment of the smeared approach is among the very few approaches which exist for modeling diffuse fracturing scenarios in heterogeneous materials. In extremely brittle cases where fracturing involves a distinct propagating crack, more robust discrete fracture simulation frameworks such as extended FEM (XFEM) or the embedded discontinuity FEM (ED‐FEM) (see, eg, Saksala et al and Nikolic et al for modeling fracturing in fluid saturated rocks and rocks under dynamic loading) can be used.…”

Section: Computational Scheme and Post‐failure Regimementioning

confidence: 98%

Numerical modeling of fracturing in permeable rocks via a micromechanical continuum model

Eghbalian

Wan

Pouragha

et al. 2019

Num Anal Meth Geomechanics

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Summary The paper presents a micromechanical approach to describe the failure of low‐permeability brittle rocks as a multiscale fracturing process based on a poroelastic microcrack‐damage model. Failure is formulated deep down at the fine pore scale as a material degradation phenomenon driven by microcrack growth that also impacts upon hydromechanical properties. A set of damage tensors describes the effect of dual‐scale porosities (nanopores and microcracks) on both the hydraulic and poroelastic rock properties. Essentially, the multiscale model reconstructs the coupling effect of hydromechanical forces at the continuum level from the ground up through the upscaling of multiphase interactions at the fundamental structural level of the material. As a result, many macroscopic characteristics emerge naturally such as friction angle, fracture properties, and most importantly, Biot's coefficient taking on a tensorial form that is generally anisotropic. The model is validated within the framework of finite elements to illustrate various baseline constitutive features such as the effect of microcrack growth on the nonlinear stress‐strain response and the induced anisotropy in the context of lab experimental tests and boundary value problems. Heterogeneities of the rock samples were incorporated by choosing material properties to be stochastic following Weibull and lognormal distributions. Numerical results appropriately replicated typical experimental observations where fracture localization and propagation are shown to be a multiscale phenomenon emerging from microcrack growth and coalescence at the microscale, with concomitant enhancement in fluid conductivity.

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Discrete element model for the analysis of fluid-saturated fractured poro-plastic medium based on sharp crack representation with embedded strong discontinuities

Cited by 37 publications

References 35 publications

Phase field modeling of hydraulic fracturing with interfacial damage in highly heterogeneous fluid-saturated porous media

Phase field modeling of hydraulic fracturing with interfacial damage in highly heterogeneous fluid-saturated porous media

A concrete homogenisation technique at meso-scale level accounting for damaging behaviour of cement paste and aggregates

Numerical modeling of fracturing in permeable rocks via a micromechanical continuum model

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