RETRACTED: Finite element analysis method for horizontal well hydraulic fracturing

Zhang, Guangming; Xiong, Chao; Liu, Jiandong; Jin, Juan; Shen, Li

doi:10.1016/j.proeng.2011.05.002

Cited by 4 publications

(3 citation statements)

References 15 publications

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“…These methods have significantly contributed to the understanding of the multiscale mechanical analysis of hydraulic fracturing. However, due to the strong nonlinearity required to couple fluid flow inside crack interfaces and The finite element method (FEM) is so far the most extensively numerical method used for hydraulic fracturing [e.g., [4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Finite element models in two dimensions have been used with zero-thickness elements to model hydraulic fracture with fracture propagation governed by a cohesive zone model [11].…”

Section: Introductionmentioning

confidence: 99%

Investigation of the notch angle in hydraulic fracturing using XFEM

Martínez

Farias

Evangelista

2019

J Braz. Soc. Mech. Sci. Eng.

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This paper analyzes the initiation and propagation of hydraulic fracturing by nonlinear numerical modeling. A notch located at the wellbore stimulates hydraulic fracturing. The notch has a pivotal role in hydraulic fracturing. There is evidence that the notch can affect the required fluid pressure and the fracture propagation and velocity. Therefore, it has been associated with the effectiveness of hydraulic fracturing in tight gas reservoirs. The objective of this study is to explore the effect of the notch angle on hydraulic fracturing. Models in two-and three dimensions are presented and analyzed. These models are used to find the breakdown pressure and stress intensity factors, respectively. The numerical approximation of hydraulically driven fracture propagation is based on the extended finite element method (XFEM). XFEM enriches finite elements and nodes at elements intersected by the crack during the crack propagation. XFEM reproduces the discontinuity in the displacement domain without the discretization of this property directly in the mesh. Therefore, the generated mesh is independent of the crack propagation. The accuracy of the numerical approach is validated by reproducing laboratory-scale hydraulic fracturing tests and comparing results.

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Section: Introductionmentioning

confidence: 99%

Investigation of the notch angle in hydraulic fracturing using XFEM

Martínez

Farias

Evangelista

2019

J Braz. Soc. Mech. Sci. Eng.

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“…(Gigliotti, 2012) ................................................... 33 Figura 3.8 Definição da superfície e da ponta da fratura através de curvas de nível (Modificado de Dassault Systèmes, 2013) ............................................................................... 35 Figura 3.9 Representação da evolução linear da fratura através de uma lei de tração-separação (Modificado de Keswani et al, 2012) Através da geração de uma rede de fraturas hidráulicas na matriz sólida é possível extrair o gás natural. O fraturamento hidráulico é um processo pelo qual uma fratura se inicia e se propaga devido a carregamentos aplicados por um fluido no interior da fratura (Ptolemy em Adachi et al, 2007;Guangming et al, 2011;Li et al, 2012;Sarris & Papanastasiou, 2012).…”

Section: Prof Carlos Alexander Recarey Morfa Dsc (Uclv/cuba) (Exaunclassified

“…A perfuração do poço, no fraturamento hidráulico, implica uma transferência da porção sólida das camadas, originalmente carregadas por um fluido de perfuração que exercerá uma pressão hidrostática nas paredes de corte, levando à formação a um novo estado tensional. Isso de fato Como explicado anteriormente, as fraturas são influenciadas pelo caminho de menor resistência, propagando-se perpendicularmente à tensão principal menor, como é mostrado na Figura 2.10 Guangming et al, 2011),. o que deu origem ao modelo PKN.…”

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Modelagem numérica de fraturamento hidráulico via método dos elementos finitos estendido

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This research develops a numerical analysis of hydraulic fracturing using Extended Finite Element Method (XFEM). This method intend to simulate the initiation mechanism and propagation of cracks induced from the tip of an initial fracture. The main objective of this work is to improve the understanding of hydraulic fracturing phenomenon guided by an initial notch. It is understood that the hydraulic fracturing problem is a phenomenon that combines various physical process, including the fluid flow, the rock matrix deformation and the fracture propagation, however simplifications are essential. The XFEM is used to perform spatial discretization of the models. This method is considered to be a robust tool to solve numerical discontinuities problems. XFEM is the basis of the Finite Element Method (FEM), adding degrees of freedom and enrichment functions to describe the local discontinuities of the model. Through XFEM, the geometry of the fracture becomes independent of the mesh, it allows to move freely through the area without a step to adapt the mesh to the discontinuity. The validation of XFEM was performed using two classical tests of Fracture Mechanics: a single edge notched beam (SEN(B)) and the disk shaped compact tension test (CDT). Additionally, a hydraulic fracturing model is used to study the influence of various parameters of the material and geometry of the initial fracture. The simulation of hydraulic fracturing is accomplished by a two-dimensional numerical model, wherein the porous medium is idealized as linear elastic and the propagation criterion is based on the energy released rate and the stress intensity factors (SIF). The solutions provided by the numerical model based on XFEM are compared with experimental data and analytical formulations, giving it very good agreement. It has been shown the capability of the XFEM to solve complex fracture propagation problems.

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