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Elastic–Plastic Fracture Propagation Modeling in Rock Fracturing via Punch Through Shear Test

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Abstract

Fracture initiation and propagation from a wellbore within a rock formation exhibit nonlinear and inelastic behaviors. When the rock material undergoes plastic deformation prior to failure, the classical Griffith theory is no longer valid. In this study, a variational phase-field approach is applied to model the inelastic behavior of granite rock in a punch through shear test. The rock failure and the fracture initiation and propagation during the loading was simulated and compared to the corresponding experimental investigations. In this numerical approach, the total local free energy is fully coupled with solid deformation and computes the plastic strain rate. The code is scripted in Multiphysics Object Oriented Simulation Environment (MOOSE). The model is shown capable of reproducing the evidenced phenomena from Punch Through Shear (PTS) test encompassing mixed mode fracture pattern Mode I, and Mode II. The numerical results show a good agreement in the stress–displacement curve with experimental data for the critical energy release rate of \({G}_{c}=600\mathrm{N}/\mathrm{m}\). Therefore, the granite sample’s fracture toughness for Mode II is calculated to be 4.85 \(\mathrm{MPa}\sqrt{\mathrm{m}}\) at no confining pressure.

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modified from Kluge et al. (2020)), and c FEM and experimental results of Backers et al. (2002)

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Acknowledgements, Samples, and Data

This study was supported by the Mitacs Globaling Research Award. The PTS testing were implemented by the GFZ research Centre for Geosciences in Potsdam, Germany. The stress displacement experimental data and numerical simulation results, as well as MOOSE script and numerical model, are deposited in the University of Manitoba Library Dataverse repository in Jarrahi (2020) (https://dataverse.lib.umanitoba.ca/dataverse/HFMiad). The permission to re-use figure of Backers et al. (2002) is granted through an agreement with Elsevier under license number 4938891273771 on October 30, 2020. The authors appreciate the GFZ Research Centre for Geosciences for proving the experimental setup and granite rock sample and the corresponding results in Figs. 2, 6, and 8. Special thanks to Madison Stafford from the Department of Civil Engineering at the University of Manitoba for her thorough review of this paper. Finally, authors would like to thank Dr. Mauro Cacace, from section “basin modelling” at GFZ, Potsdam, Germany for his helpful comments in writing the MOOSE scripts.

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Authors and Affiliations

  1. Department of Civil Engineering, University of Manitoba, Winnipeg, Canada

    M. Jarrahi & H. M. Holländer

  2. Helmholtz Centre Potsdam - GFZ German Research Centre for Geosciences, Potsdam, Germany

    G. Blöcher & C. Kluge

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  1. M. Jarrahi
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  2. G. Blöcher
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  3. C. Kluge
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Correspondence to M. Jarrahi.

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Jarrahi, M., Blöcher, G., Kluge, C. et al. Elastic–Plastic Fracture Propagation Modeling in Rock Fracturing via Punch Through Shear Test. Rock Mech Rock Eng 54, 3135–3147 (2021). https://doi.org/10.1007/s00603-021-02457-4

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