A continuum damage failure model for hydraulic fracturing of porous rocks

Shojaei, Amir; Taleghani, Arash Dahi; Li, Guoqiang

doi:10.1016/j.ijplas.2014.03.003

Cited by 114 publications

(42 citation statements)

References 65 publications

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“…In recent years, many numerical methods have been developed for hydraulic fracturing modeling, such as finite element methods [13,14], generalized finite element methods [15], finite-discrete element methods [8], numerical manifold methods [7], boundary element methods [16], discontinuous deformation analysis methods [17], and extended finite element methods (XFEM). The XFEM shows huge advantage for dealing with discontinuous problems [18][19][20] and also hydraulic fracture problems.…”

Section: Introductionmentioning

confidence: 99%

Coupled Finite Volume Methods and Extended Finite Element Methods for the Dynamic Crack Propagation Modelling with the Pressurized Crack Surfaces

Jiang

2017

Shock and Vibration

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We model the fluid flow within the crack as one-dimensional flow and assume that the flow is laminar; the fluid is incompressible and accounts for the time-dependent rate of crack opening. Here, we discretise the flow equation by finite volume methods. The extended finite element methods are used for solving solid medium with crack under dynamic loads. Having constructed the approximation of dynamic extended finite element methods, the derivation of governing equation for dynamic extended finite element methods is presented. The implicit time algorithm is elaborated for the time descritisation of dominant equation. In addition, the interaction integral method is given for evaluating stress intensity factors. Then, the coupling model for modelling hydraulic fracture can be established by the extended finite element methods and the finite volume methods. We compare our present numerical results with our experimental results for verifying the proposed model. Finally, we investigate the water pressure distribution along crack surface and the effect of water pressure distribution on the fracture property.

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Section: Introductionmentioning

confidence: 99%

Coupled Finite Volume Methods and Extended Finite Element Methods for the Dynamic Crack Propagation Modelling with the Pressurized Crack Surfaces

Jiang

2017

Shock and Vibration

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“…The continuum element method has been applied to simulate 3D hydraulic fracturing , and the mutual effect between a hydraulic fracture and a natural fracture (Nagel et al 2013). Shojaei et al (2014) used a particular layer of elements to simulate the in-plane hydraulic fracture as a stress boundary. This paper will use the porous mechanical-fluid flow coupled FEM with the continuum damage theory to investigate how (1) the material parameters of permeability and porosity, Young's modulus, and Poisson's ratio and (2) heterogeneous material structure affect the fracturing time, the evolution of fluid flow and stress during the whole hydraulic fracturing process including before, during and after, subjected to the initial tectonic loading, well drilling and hydraulic loading effects.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of the material parameter effects on the initiation of hydraulic fracture in a near wellbore region

Xing

2015

Journal of Natural Gas Science and Engineering

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Please cite this article as: Li, Q., Xing, H., Numerical analysis of the material parameter effects on the initiation of hydraulic fracture in a near wellbore region, Journal of Natural Gas Science & Engineering (2015), doi: 10.1016/j.jngse.2015 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Abstract: Hydraulic fracturing is recognized as a key method to enhance unconventional reservoirs, but it is also quite complicated and challenging due to so many affecting factors such as the formation material parameters, fluid behaviors and geological setting/conditions. However, in unconventional reservoirs, in the near wellbore region, the rock may consist of different materials, and the stress is redistributed during drilling and fracturing process, so the preferable hydraulic fracture path is hard to predict. This paper aims to study the effects of formation material parameters, including drilling effects, on the hydraulic fracturing process in unconventional reservoirs. First, hydraulic fracturing has been simulated in nine cases with different parameters specifically permeability, porosity, Young's modulus, and Poisson's ratio. Then hydraulic fracturing has been studied by a heterogeneous model with multiple zones and layers, and complex stress condition. It is found that under a constant hydraulic pressure boundary, when the values of permeability, porosity, Young's modulus, and Poisson's ratio are higher, hydraulic fracturing initiates earlier; with a heterogeneous distribution of materials, stress concentration is formed between different materials, and the tensile stress concentrated areas become the preferable paths of hydraulic fracturing. M A N U S C R I P T A C C E P T E D ACCEPTED MANUSCRIPT

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“…Mechanical components will experience different damage mechanisms during their manufacturing, transportation, installation and service life [27,28]. Continuum damage mechanics (CDM) provides a promising modelling approach to evaluate the role of these effects on the life and the performance of these products.…”

Section: Introductionmentioning

confidence: 99%

Thermomechanical constitutive modelling of shape memory polymer including continuum functional and mechanical damage effects

Shojaei

2014

Proc. R. Soc. A.

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A multi-mechanism-based phenomenological model is developed within the finite deformation kinematics framework for capturing the thermomechanical behaviour of shape memory polymers (SMPs) both during programming and in service. Particularly, the damage mechanisms in SMPs are studied within the continuum damage mechanics (CDMs) framework in which they are classified into mechanical or physical damage, induced during service condition, e.g. fatigue and functional damage induced during thermomechanical cycles, e.g. shape recovery loss. Statistical mechanics is incorporated to describe the initiation and saturation of these deformation mechanisms. The main advantage of the presented viscoplastic model, comparing to the existing counterparts, is its simplicity by minimizing the need for curve fitting, and capability in simulating the nonlinear stress-strain behaviour of amorphous, crystalline or semicrystalline SMPs. The developed viscoplastic CDM model takes into account several distinctive deformation mechanisms involved in the thermomechanical cycle of SMPs, including glass transition loss events, temperature-dependent material properties, stress relaxation, shape recovery transient events and damage effects. The established model correlates well with the experimental results and its computational capabilities provide material designers with a powerful design tool for future SMP applications.

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A continuum damage failure model for hydraulic fracturing of porous rocks

Cited by 114 publications

References 65 publications

Coupled Finite Volume Methods and Extended Finite Element Methods for the Dynamic Crack Propagation Modelling with the Pressurized Crack Surfaces

Coupled Finite Volume Methods and Extended Finite Element Methods for the Dynamic Crack Propagation Modelling with the Pressurized Crack Surfaces

Numerical analysis of the material parameter effects on the initiation of hydraulic fracture in a near wellbore region

Thermomechanical constitutive modelling of shape memory polymer including continuum functional and mechanical damage effects

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