Numerical modeling of hydraulic fracture problem in permeable medium using cohesive zone model

By Benoît Carrier, Sylvie Granet. 2012

440 citations recorded by the source corpus.

This paper considers the problem of a fluid-driven fracture propagating in a permeable poroelastic medium. We develop a zero-thickness finite element to model the fracture. The fracture propagation is governed by a cohesive zone model and the flow within the fracture by the lubrication equation. The hydro-mechanical equations are solved with a fully coupled approach, using the developed zero-thickness element for the propagating fracture and conventional bulk finite elements for the surrounding medium. The numerical results are compared to analytical asymptotic solutions under zero fluid lag assumption in the four following limiting propagation regimes: toughness-fracture storage, toughness-leak-off, viscosity-fracture storage and viscosity-leak-off dominated. We demonstrate the ability of our cohesive zone model in simulating the hydraulic fracture in all these propagation regimes.

Subfields: Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/cf163eaac47868b47303f71096e8eedb0db184cc

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In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

An augmented-Lagrangian method for the phase-field approach for pressurized fractures (2014, methodology): “These include an implicit moving mesh algorithms of Lecampion and Detournay [12]; moving-mesh approach with local grid refinement by Schrefler et al. [13]; a special zero-thickness finite element approach by Carrier and Granet [14]; the partition of unity and extended finite element approaches by Ir”
Thermo-hydro-mechanical modeling of impermeable discontinuity in saturated porous media with X-FEM technique (2012, methodology): “A numerical model based on the fully coupled approach was presented by Carrier and Granet [26] for the hydraulic fracturing of permeable medium, where four limiting propagation regimes were assumed.”