Jointed rock masses are inheritably anisotropic due to preferential orientation of joints.
Joints often have three main orientations which are nearly orthogonal resulting in elastically
orthotropic medium. A thermomechanical anisotropic elastic-plastic model [1] has been
developed for shock wave generation and propagation in jointed rock formations by various
sources such as underground explosions and strong earthquakes. The model parameters are
calibrated using meso-scale simulations of quasi-static loadings of a representative volume
element (RVE) of jointed rock at different angles [2,3].
We perform direct comparison of expensive simulations of underground explosions in
jointed rock masses where the joints are explicitly modelled as embedded discontinuities with
the simulations using effective anisotropic continuum model informed by calculated
mechanical response of typical REV with embedded joints. The resulting anisotropic
continuum model provides a substantial reduction of the computational burden for numerical
modeling of large-scale problems involving rock masses with billions of joints.

REFERENCES
[1] Rubin M. B., Vorobiev O. Yu., Vitali E., A thermomechanical anisotropic model for shock loading
of elastic-plastic and elastic-viscoplastic materials with application to jointed rock. Comput Mech
2016;58(1):107-128.
[2] Vorobiev O. Yu., Rubin M. B., A thermomechanical anisotropic continuum model for geologic
materials with multiple joint sets Int J Numer Anal Methods Geomech. 2018;42(12):1366-1388
[3] Vorobiev O. Yu., Ezzedine S. M., and Hurley R., Near-field non-radial motion generation from
underground chemical explosions in jointed granite, Geophysical Journal International 212, pp.
25-41,2017
This work performed under the auspices of the U.S. Department of Energy by Lawrence
Livermore National Laboratory under Contract DE-AC52-07NA27344

Modeling ground motion caused by subsurface chemical explosions in anisotropic rock masses

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