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Mesoscale Validation of Simplifying Assumptions for Modeling the Plastic Deformation of Fluid-Saturated Porous Material

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Abstract

Mesoscale simulation of fluid-saturated porous materials is used to investigate unvalidated assumptions in continuum modeling of geomaterials at high rates. The importance of pressure-dependence of the matrix material on the applicability of the effective-stress approach during plastic deformation is explored. The hydrostatic load-unload response of saturated porous structures having both pressure-dependent and pressure-independent matrix materials is modeled using the material point method. Results are used to validate a semi-empirical strain-to-yield effective-stress model in which the pore pressure evolves with local material deformation, an approach that is applicable to materials with closed porosity or those loaded at sufficiently high rates that fluid transport can be neglected. Mesoscale simulations are used to estimate the strain rates beyond which fluid flow through the matrix can be neglected.

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Notes

  1. Throughout this manuscript an overbar denotes a value that is positive in compression, so \(\bar{\star }=-\star\), where \(\star\) could be \(I_1\), \(X\), \(\zeta\), etc.

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Acknowledgements

Primary support of this work by Schlumberger Technology Corporation is gratefully acknowledged. Essential computational resources were provided by the University of Utah center for high performance computing (CHPC).

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Authors and Affiliations

  1. Lawrence Livermore National Laboratory, Atmospheric, Earth and Energy Division, Livermore, USA

    Michael A. Homel

  2. The University of Utah, Department of Mechanical Engineering, 50 S. Central Campus Dr., MEB 2110, Salt Lake City, 84112, Utah, USA

    James Guilkey & Rebecca M. Brannon

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  1. Michael A. Homel
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  2. James Guilkey
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  3. Rebecca M. Brannon
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Correspondence to Michael A. Homel.

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Homel, M.A., Guilkey, J. & Brannon, R.M. Mesoscale Validation of Simplifying Assumptions for Modeling the Plastic Deformation of Fluid-Saturated Porous Material. J. dynamic behavior mater. 3, 23–44 (2017). https://doi.org/10.1007/s40870-017-0092-8

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  • DOI: https://doi.org/10.1007/s40870-017-0092-8

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