Hydromechanical bond-based peridynamic model for pressurized and fluid-driven fracturing processes in fissured porous rocks

Zhou, Xiaoping; Wang, Yunteng; Shou, Yundong

doi:10.1016/j.ijrmms.2020.104383

Cited by 55 publications

(21 citation statements)

References 41 publications

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“…For a transient fluid flow in porous media, the flow model driven by hydraulic potential field, not its gradient, was established by Katiyar 24 and Jabakhanji, 25 for saturated and unsaturated flow, respectively. Considerable progress in developing fully coupled hydro‐mechanical models using bond‐based PD (BBPD) and ordinary state‐based PD (OSBPD) was made by Oterkus, 26 Zhou, 27 Zhang 28 . Ouchi 29 developed a comprehensive hydraulic fracture model considering the fluid transport both in the host matrix and the fractured region determined by fracture width.…”

Section: Introductionmentioning

confidence: 99%

Coupling of non‐ordinary state‐based peridynamics and finite element method for fracture propagation in saturated porous media

Sun

Fish

2021

Num Anal Meth Geomechanics

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In the present manuscript fracture propagation in a saturated porous medium is modeled based on the classical Biot theory, where solid skeleton and fluid flow are represented by separate two layers. The non‐ordinary state‐based peridynamics (NOSBPD) layer is employed to capture deformation including fracturing of the solid skeleton, while the fluid flow is controlled by the finite element method (FEM) layer. The interaction between the layers is realized by considering the effects of pore pressure from the FEM layer on the NOSBPD layer and, vice versa, the effect of the volumetric strain, porosity, and permeability variations from the NOSBPD layer on the FEM layer. The coupling terms retain their parent characteristics, that is, the interaction term in the momentum balance equation is approximated by the local FEM formulation whereas the interaction term in the mass balance equation is approximated by the nonlocal NOSBPD formulation. By doing so, the model retains the flexibility of coupling two independent discretizations. The coupled system is solved by a fully implicit solution scheme. The accuracy of the proposed method has been verified against available closed‐form solutions and published numerical approaches for the pressure‐ and fluid‐driven facture propagation problems.

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Section: Introductionmentioning

confidence: 99%

Coupling of non‐ordinary state‐based peridynamics and finite element method for fracture propagation in saturated porous media

Sun

Fish

2021

Num Anal Meth Geomechanics

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“…Due to its flexibility, beyond already mentioned research fields (crack formation and propagation in elastic material, wave dispersion in material, intragranular fracture), the peridynamics nonlocal approach to discontinuities has found applications in several research areas. In geomechanics, PD has been employed in water-induced soil cracks [21,22], geomaterial failure [23], rocks fragmentation [24], etc. (see [25]).…”

Section: Introductionmentioning

confidence: 99%

Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics

et al. 2022

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Peridynamic (PD) theories have become widespread in various research areas due to the ability of modeling discontinuity formation and evolution in materials. Bond-based peridynamics (BB-PD), notwithstanding some modeling limitations, is widely employed in numerical simulations due to its easy implementation combined with physical intuitiveness and stability. In this paper, we review and investigate several aspects of bond-based peridynamic models. We present a detailed description of peridynamics theory, applications, and numerical models. We display the employed BB-PD integral kernels together with their differences and commonalities; then we discuss some consequences of their mathematical structure. We critically analyze and comment on the kinematic role of nonlocality, the relation between kernel structure and material impenetrability, and the role of PD kernel nonlinearity in crack formation prediction. Finally, we propose and present the idea of extending BB-PD to fluids in the framework of fading memory material, drawing some perspectives for a deeper and more comprehensive understanding of the peridynamics in fluids.

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“…This novel bond-based peridynamic model captures the crack initiation, propagation and coalescence well in the simulation of rock-like materials under compressive and shear loadings. To study pressurized and fluid driven fracture problems in fissured porous rocks, a new coupled hydromechanical bond-based peridynamic model was proposed by Zhou et al [46]. Based on the Biot's theory, the equation of motion of bond-based peridynamics was reformulated.…”

Section: Introductionmentioning

confidence: 99%

Modelling of cracks with frictional contact based on peridynamics

Lü

Oterkus

Öterkuş

et al. 2021

Theoretical and Applied Fracture Mechanics

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Hydromechanical bond-based peridynamic model for pressurized and fluid-driven fracturing processes in fissured porous rocks

Cited by 55 publications

References 41 publications

Coupling of non‐ordinary state‐based peridynamics and finite element method for fracture propagation in saturated porous media

Coupling of non‐ordinary state‐based peridynamics and finite element method for fracture propagation in saturated porous media

Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics

Modelling of cracks with frictional contact based on peridynamics

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