2010
DOI: 10.1016/j.petrol.2010.03.032
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Three-dimensional finite element simulation and parametric study for horizontal well hydraulic fracture

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Cited by 121 publications
(46 citation statements)
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“…Carrier and Granet's numerical results about injection pressure and fracture aperture are very consistent with analytical solutions under a zero fluid lag assumption. Zhang et al [31] set up a 3D nonlinear fluid-mechanics coupling model, by using finite element software ABAQUS. The field data from the Daqing (in China) oilfield were used in numerical computations, and the evolution of the bottomhole pressure in the simulation was coincident with the corresponding data from the field measurements.…”
Section: Introductionmentioning
confidence: 99%
“…Carrier and Granet's numerical results about injection pressure and fracture aperture are very consistent with analytical solutions under a zero fluid lag assumption. Zhang et al [31] set up a 3D nonlinear fluid-mechanics coupling model, by using finite element software ABAQUS. The field data from the Daqing (in China) oilfield were used in numerical computations, and the evolution of the bottomhole pressure in the simulation was coincident with the corresponding data from the field measurements.…”
Section: Introductionmentioning
confidence: 99%
“…The complexity of the problem seriously restricts the application of classical models like KGD (Perkins and Kern 1961;Nordgren 1972) and PKN (Geertsma and De Klerk 1969;Khristianovich and Zheltov 1955) in optimizing the fracture design. Currently, the prevailing methods for simulating hydraulic fracture propagation include displacement discontinuity method (Varahanaresh and Ahmad 2015;Dharmendra and Ahmad 2016;Wu and Olson 2016;Zhou et al 2015), discrete element method (Deng et al 2014;Conny and Heinz 2015) and finite element method (Zhang et al 2010;Wang et al 2012Wang et al , 2015Mahdi and Kamy 2015;Gonzalez et al 2015;Wang et al 2016;Feng and Gray 2017a;Lee et al 1994). …”
Section: Introductionmentioning
confidence: 99%
“…Moreover, the propagation behavior of hydraulic fracture in multilayered formations has also been studied. Zhang et al (2010) established a model to calculate the fracture shape in three layers which contains one pay zone and two barriers. Wang et al (2015) investigated the impact of formation interface shear failure on fracture height containment.…”
Section: Introductionmentioning
confidence: 99%
“…Such as the finite element method (FEM) (Guo et al, 2015;Zhang et al, 2010;Chen et al, 2009;Tang et al, 2009aTang et al, , 2009b, finite difference method (FDM) (Nagel and Sanchez-Nagel, 2011), boundary element method (BEM) (Hossain and Rahman, 2008;Rahman et al, 2002), displacement discontinuity method (DDM) (Zhang et al, 2007, discrete element method (DEM) (Nagel et al, 2012;Tang et al, 2014Tang et al, , 2013 and the extended finite element method (XFEM) (Taleghani, 2009). Table 1 summarizes some numerical methods and software products for hydraulic fracturing simulation.…”
Section: Introductionmentioning
confidence: 99%
“…Chen et al (Chen, 2012;Chen et al, 2009) simulated twodimensional (2D) radial fracture initiation and propagation problem using PPCE, and their simulation results were consistent with the analytical solution of K-vertex (Savitski and Detournay, 2002). Zhang et al (Zhang et al, 2010) studied the horizontal well hydraulic fracture propagation mechanism based on 3D PPCE which took the influences of casing, cement sheath, micro-annulus and perforation holes into consideration. However, they didn't discuss the presence and propagation of the micro-annulus.…”
Section: Introductionmentioning
confidence: 99%