A Variational Phase-field Approach for Non-isothermal Hydraulic Fractures in Porous Media
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This work extends the phase-field modeling for hydraulic fracture for non-isothermal con-ditions. Thermo-hydro-mechanical (THM) effects are incorporate in a new form of degraded strain energy based on micromechanical analyses [1]. Fluid flow and heat transfer in the fractured material are then integrated with the phase-field model to recognize the enhancement in the damaged zone. For inter-woven multi-field THM interactions, we follow [2] and solve them in a staggered scheme with a modified fixed stress split accounting for the thermal stress. We verify our model against some other analytical solutions from Terzaghi’s consolidation, thermal consolidation and the plane strain hydraulic fracture propagation, known as the KGD fracture, in the toughness dominated regime. We then provide numerical experiments to shed a light on the intricate interplay between multiphysics during hydraulic fracturing with and without the presence of discontinuities. REFERENCES [1] You, T., Yoshioka, K., 2023. On poroelastic strain energy degradation in the variational phase-field models for hydraulic fracture. Computer Methods in Applied Mechanics and Engineering., 416, 116305 [2] Parisio, F., Vilarrasa, V., Wang, W., Kolditz, O., and Nagel, T. 2019. The risks of long-term re-injection in supercritical geothermal systems. Nature communications., 10(1), 4391.