A generalized finite element method for the simulation of non-planar three-dimensional hydraulic fracture propagation

By Piyush Gupta. 2016

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Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model (2016, methodology): “Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model Sanghyun Lee ∗ Mary F. Wheeler † Thomas Wick ‡ This work presents phase field fracture modeling in heterogeneous porous media.”
Coupled hydromechanical‐fracture simulations of nonplanar three‐dimensional hydraulic fracture propagation (2018, methodology): “In this work, we adopt the GFEM for the 3-D nonplanar fractures proposed by Gupta and Duarte.(18) Details on the construction of the GFEM shape functions for 3-D elasticity equations, selection of enrichment functions for hydraulic fractures, and adaptive mesh refinement along the fracture front can”