Numerical fracture analysis for chemo-mechanical coupling problems in multilayered porous media

Abstract

The chemo-mechanical coupling fracture analysis is carried out numerically in this paper for the multilayered porous media. A chemo-mechanical extended layerwise method (CM-XLWM) is developed for the multilayered porous media with multiple interface and transverse cracks. The multiple interface cracks are simulated by the strong and weak discontinuous functions in the displacement assumptions along the thickness direction, whilst the transverse cracks are modeled by the extended finite element method (XFEM) in the in-plane displacement discretization. The mixed chemo-mechanical variational principle is employed to derive the Euler equations and the discrete formulations. Since the displacement and chemical fields are solved simultaneously, a fully coupled time integration method is developed. The interaction integral method and Virtual Crack Closure Technique are used to calculate the stress intensity factors and energy release rates, respectively. Several numerical examples are studied to demonstrate the capabilities of the CM-XLWM in static response analyses, stress intensity factor calculations and energy release rate for the multilayered porous media.