A non-isothermal phase-field hydraulic fracture modeling in saturated porous media with convection-dominated heat transport

Abstract This research aims to extend the isothermal continuum mechanical modeling framework of hydraulic fracturing in porous materials account for non-isothermal processes. Whereas theory media is used macroscopic material description, phase-field method utilized crack initiation and propagation. We proceed this study from a two-phase consisting thermomechanically interacting pore fluid solid matrix. The heat exchange between surrounding environment through diffusive fracture edges carefully studied, new formulations here are proposed. Besides, temperature-dependent parameters taken into account, which particular importance connection with viscosity its effect on post-cracking pressure behavior. treatment results strongly coupled partial differential equations mass, momentum, energy balance thermally non-equilibrated constituents. Using finite element method, two-dimensional initial-boundary-value problems presented show, one hand, stability robustness applied numerical algorithm solving emerged problem convection-dominated transport state. On other they show capability scheme predicting important instances related role temperature field process. Additionally, using stabilization techniques, such as adding an artificial thermo-diffusivity term, mitigate fluctuations at high flow velocity.