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In this work, phase-field modeling of hydraulic fractures in porous media isextended towards a global-local approach. Therein, the failure behavior issolely analyzed in a (small) local domain. In the surrounding medium, asimplified and linearized system of equations is solved. Both domains arecoupled by Robin-type interface conditions. The fracture(s) inside the localdomain are allowed to propagate and consequently both subdomains change withintime. Here, a predictor-corrector strategy is adopted in which the local domainis dynamically adjusted to the current fracture pattern. The resultingframework is algorithmically described in detail and substantiated with somenumerical tests.

A global-local approach for hydraulic phase-field fracture in poroelastic media