A simplified modelling of hydraulic fractures in elasto-plastic materials

Wróbel, Michał; Papanastasiou, Panos; Peck, Daniel

doi:10.1007/s10704-021-00608-w

Cited by 10 publications

(19 citation statements)

References 37 publications

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“…In computations we employ the ABAQUS package by specifying the solid deformation model and the material constants together with the respective boundary conditions and external loading (the fluid pressure, p, and tangential traction, τ ). For example, in [35] the problem of hydraulic fracture propagating in elasto-plastic pressure sensitive material was analyzed with the application of the Mohr-Coulomb plastic deformation model.…”

Section: Solid Mechanics Equationsmentioning

confidence: 99%

“…The flexibility of computational scheme introduced by Wrobel & Mishuris [28] facilitates its combination with different crack propagation conditions. So far it has been employed with the standard LEFM crack propagation condition [11,28,29,30], the crack propagation condition that accounts for the hydraulically induced tangential traction [14,15,33] and the elasto-plastic crack propagation condition [35]. Following these results let us introduce here a general form of the crack propagation condition:…”

Section: Crack Propagation Conditionmentioning

confidence: 99%

“…where ζ = 4(1 − ν). In the above formula KI denotes the standard mode I stress intensity factor (SIF), K f is the so-called shear stress intensity factor related to the hydraulically induced tangential traction [14], KIc stands for the material fracture toughness and α ≤ 1 is a plasticity-dependent toughness magnification coefficient [35]. Particular cases can be derived from the condition (15) by: i) setting ζ = 0 for elimination of the tangential traction on the crack faces, ii) setting α = 1 for elimination of the plastic deformation effect.…”

Section: Crack Propagation Conditionmentioning

confidence: 99%

“…Note that if both of the above assumptions are made, condition (15) converts to the standard LEFM crack propagation condition (KI = KIc). For the details of derivation of condition (15) the reader is referred to [14,17,35].…”

Section: Crack Propagation Conditionmentioning

confidence: 99%

“…The computational algorithm presented in this paper is based on the universal scheme for simulation of hydraulic fractures first introduced in [28]. The algorithm originally proposed for the classic PKN and KGD models was later developed to account for non-Newtonian fluid rheologies [11,32,33], hydraulically induced tangential traction [14,15] and elasto-plastic model of the fractured material [35]. Moreover, its extension to the case of a penny shape fracture was done in [29,30].…”

Section: Computational Algorithmmentioning

confidence: 99%

See 4 more Smart Citations

Numerical simulation of hydraulic fracturing: a hybrid FEM based algorithm

Wrobel,

Papanastasiou,

Peck

2021

Preprint

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In this paper a problem of numerical simulation of hydraulic fractures is considered. An efficient algorithm of solution, based on the universal scheme introduced earlier by the authors for the fractures propagating in elastic solids, is proposed. The algorithm utilizes a FEM based subroutine to compute deformation of the fractured material. Consequently, the computational scheme retains the relative simplicity of its original version and simultaneously enables one to deal with more advanced cases of the fractured material properties and configurations. In particular, the problems of poroelasticity, plasticity and spatially varying properties of the fractured material can be analyzed. The accuracy and efficiency of the proposed algorithm are verified against analytical benchmark solutions. The algorithm capabilities are demonstrated using the example of the hydraulic fracture propagating in complex geological settings.

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Section: Solid Mechanics Equationsmentioning

confidence: 99%

Section: Crack Propagation Conditionmentioning

confidence: 99%

Section: Crack Propagation Conditionmentioning

confidence: 99%

Section: Crack Propagation Conditionmentioning

confidence: 99%

Section: Computational Algorithmmentioning

confidence: 99%

See 3 more Smart Citations

Numerical simulation of hydraulic fracturing: a hybrid FEM based algorithm

Wrobel,

Papanastasiou,

Peck

2021

Preprint

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Numerical simulation of hydraulic fracturing: A hybrid FEM‐based algorithm

Wróbel

Papanastasiou

Peck

2022

Num Anal Meth Geomechanics

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In this paper, a problem of numerical simulation of hydraulic fractures is considered. An efficient algorithm of solution is proposed for the plain strain model of hydraulic fracturing. The algorithm utilizes a FEM-based subroutine to compute deformation of the fractured material. The flow of generalized Newtonian fluid in the fracture is modeled in the framework of lubrication theory. In this way, the architecture of the computational scheme is relatively simple and enables one to deal with advanced cases of the fractured material properties and configurations as well as various rheological models of fluid. In particular, the problems of poroelasticity, plasticity, and spatially varying properties of the fractured material can be analyzed. The accuracy and efficiency of the proposed algorithm are verified against analytical benchmark solutions. The algorithm capabilities are demonstrated using the example of the hydraulic fracture propagating in complex geological settings.

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