A Generalized Finite Element Method for hydro-mechanically coupled analysis of hydraulic fracturing problems using space-time variant enrichment functions
A novel Generalized Finite Element Method (GFEM) for hydraulic fracturing problems is proposed. Physically motivated enrichment functions are used to approximate the liquid pressure near cracks. The enrichment functions are adopted from the analytical solution of 1D consolidation type problems. The enrichment functions are space and time variant. A considerable reduction of the approximation error compared to existing FEM and XFEM models is obtained.
hydraulic fracturing generalized finite element method (gfem) extended finite element method (xfem) poromechanics