Finite element modelling of viscosity-dominated hydraulic fractures

Numerical methods for hydraulic fracture propagation: A review of recent trends

“…Cohesive zone models have been widely used for fracture nucleation and growth in elastic and poroelastic solids (Simoni and Secchi, 2003;Papanastasiou, 2011, 2013;Yao et al, 2015;Carrier and Granet, 2012;Chen, 2012;Yao et al, 2015). The cohesive zone model originates from the theory proposed by Dugdale (1960) and Barenblatt (1962) to overcome the stress singularity ahead of the fracture tip.…”

The Impact of the Near-Tip Logic on the Accuracy and Convergence Rate of Hydraulic Fracture Simulators Compared to Reference Solutions

“…So a coupled fluid pressure-traction-separation relationship exists between the cohesive zone defined by the traction-separation law and the pressurised fracture as found from solving the lubrication equation with the constraint that all tractions acting on the entire fracture and the cohesive zone must be in equilibrium. In this cohesive finite element model [19], the irreversible bilinear traction-separation cohesive law is adopted. An incompressible Newtonian fluid is injected at the centre of the fracture at constant injection rate.…”

“…Infinite elements surrounding the finite domain, which contains a hydraulic fracture, have been used to model the far-field boundary. Further details of the finite element model can be found in [19].…”

Hydraulic fracturing process by using a modified two-dimensional particle flow code - method and validation

“…Wu and Olson (2013), using the modified 2D-DDM approach, studied the influence of stress shadow on the fracture extending pattern when considering several perforation clusters generated in a horizontal well. Chen (2012) used the commercial finite element code, ABAQUS, where the stress intensity model is replaced by a cohesive-zone fracture tip model, to simulate fracture propagation driven by fluid, and their modelling results are in good agreement with the 2D PKN and KGD solutions. Wang (2015) also used an ABAQUS embedded extended finite element method and cohesive zone method to model fracture initiation and propagation in different brittle rocks, and the results show that fluid pressure field and fracture geometry are significantly affected by the rock in-elastic deformations.…”