Loading...

An enriched-finite element technique for numerical simulation of hydro-fracture evolution in naturally-layered formations

Vahab, M ; Sharif University of Technology | 2020

394 Viewed
  1. Type of Document: Article
  2. Publisher: International Centre for Numerical Methods in Engineering, CIMNE , 2020
  3. Abstract:
  4. In this paper, a computational model is developed for the simulation of hydro-fracture growth in naturally layered impervious media using the extended finite element method (X-FEM). The equilibrium equation of the bulk is solved in conjunction with the hydro-fracture inflow and continuity equations using the staggered Newton method. The hydro-fracture inflow is modeled by using the lubrication theory, where the permeability of the fracture is incorporated by taking advantage of the cubic law. The Eigen-function expansion method is utilized in order to develop enrichment functions suited for the asymptotic stress field in the vicinity of the singular points. An energy release rate-based criterion is used in order to study the competition between hydro-fracture penetration/deflection at the material interface. Finally, the robustness of the computational framework is explored by means of numerical simulation. copyright © Crown copyright (2018).All right reserved
  5. Keywords:
  6. Hydraulic fracture growth ; Layered domain ; Singular enrichment strategy ; X-FEM ; Computation theory ; Computational fluid dynamics ; Computational mechanics ; Fracture ; Newton-Raphson method ; Numerical models ; Thermoelectricity ; Asymptotic stress field ; Computational framework ; Continuity equations ; Eigenfunction expansions ; Enriched finite elements ; Extended finite element method ; Finite element method
  7. Source: 6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018, 11 June 2018 through 15 June 2018 ; 2020 , Pages 1685-1696