Coupled numerical approach combining X-FEM and the embedded discrete fracture method for the fluid-driven fracture propagation process in porous media

A coupled simulation strategy combining the embedded discrete fracture method (EDFM) and the extended finite element method (X-FEM) is developed to simulate the fluid driven fracture propagation process in porous media. This physical process includes three strong coupling mechanics: fluid flow in fractures and porous media, solid deformation with fractures, and fracture propagations. The EDFM and X-FEM are used to simulate fracture-related fluid mechanics and solid mechanics, respectively, with information exchanged under the iterative numerical coupling scheme. Mathematical equations on how to link these independent modules as well as numerical techniques on how to accelerate the coupling convergence rate are discussed in detail.