A thermomechanical anisotropic continuum model for geological materials with multiple joint sets

Vorobiev, O. Yu.; Rubin, M. B.

doi:10.1002/nag.2795

A thermomechanical anisotropic continuum model for geological materials with multiple joint sets

Journal Article · Thu May 10 00:00:00 EDT 2018 · International Journal for Numerical and Analytical Methods in Geomechanics

DOI:https://doi.org/10.1002/nag.2795· OSTI ID:1513835

^[1]; Rubin, M. B. ^[2]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Technion-Israel Institute of Technology, Haifa (Israel)

Joints in geological materials introduce elastic compliance and weak planes on which sliding can occur. Although these materials can have multiple joint sets, they often have preferred orientations that cause both elastic and inelastic anisotropic response even when the unjointed material is isotropic. Azimuthal variations in radial velocity and polarity of tangential motion have been observed in experimental data for wave propagation caused by an initially spherical source in a geological material with multiple joint sets. This observed tangential ground motion was found to be related to mechanical anisotropy caused by preferred orientations of joints in the rock. This paper describes thermomechanical continuum constitutive equations, which model the effects of multiple persistent joint sets. A number of quasi–static examples are considered, which show that the proposed model predicts anisotropic effects of sliding on multiple joint sets similar to those exhibited by computationally expensive mesoscale calculations, which model joint sets explicitly.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1513835

Alternate ID(s):: OSTI ID: 1436814

Report Number(s):: LLNL-JRNL--746369; 930314

Journal Information:: International Journal for Numerical and Analytical Methods in Geomechanics, Journal Name: International Journal for Numerical and Analytical Methods in Geomechanics Journal Issue: 12 Vol. 42; ISSN 0363-9061

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

References (14)

Discrete and continuum methods for numerical simulations of non-linear wave propagation in discontinuous media: DISCRETE AND CONTINUUM METHODS Vorobiev, Oleg International Journal for Numerical Methods in Engineering, Vol. 83, Issue 4 https://doi.org/10.1002/nme.2840	journal	February 2010
Simple Common Plane contact algorithm: SIMPLE COMMON PLANE CONTACT Vorobiev, Oleg International Journal for Numerical Methods in Engineering, Vol. 90, Issue 2 https://doi.org/10.1002/nme.3324	journal	December 2011
A thermomechanical anisotropic model for shock loading of elastic-plastic and elastic-viscoplastic materials with application to jointed rock Rubin, M. B.; Vorobiev, O.; Vitali, E. Computational Mechanics, Vol. 58, Issue 1 https://doi.org/10.1007/s00466-016-1284-0	journal	April 2016
An algorithm for continuum modeling of rocks with multiple embedded nonlinearly-compliant joints Hurley, R. C.; Vorobiev, O. Y.; Ezzedine, S. M. Computational Mechanics, Vol. 60, Issue 2 https://doi.org/10.1007/s00466-017-1403-6	journal	April 2017
Plasticity theory formulated in terms of physically based microstructural variables—Part I. Theory Rubin, M. B. International Journal of Solids and Structures, Vol. 31, Issue 19 https://doi.org/10.1016/0020-7683(94)90222-4	journal	October 1994
Modeling added compressibility of porosity and the thermomechanical response of wet porous rock with application to Mt. Helen Tuff Rubin, M. B.; Elata, D.; Attia, A. V. International Journal of Solids and Structures, Vol. 33, Issue 6 https://doi.org/10.1016/0020-7683(95)00077-N	journal	March 1996
Mechanical and numerical modeling of a porous elastic–viscoplastic material with tensile failure Rubin, M. B.; Vorobiev, O. Yu.; Glenn, L. A. International Journal of Solids and Structures, Vol. 37, Issue 13 https://doi.org/10.1016/S0020-7683(98)00333-3	journal	March 2000
Practical estimates of rock mass strength Hoek, E.; Brown, E. T. International Journal of Rock Mechanics and Mining Sciences, Vol. 34, Issue 8 https://doi.org/10.1016/S1365-1609(97)80069-X	journal	December 1997
Simulation of penetration into porous geologic media Vorobiev, O. Yu.; Liu, B. T.; Lomov, I. N. International Journal of Impact Engineering, Vol. 34, Issue 4 https://doi.org/10.1016/j.ijimpeng.2006.02.002	journal	April 2007
Generic strength model for dry jointed rock masses Vorobiev, Oleg International Journal of Plasticity, Vol. 24, Issue 12 https://doi.org/10.1016/j.ijplas.2008.06.009	journal	December 2008
Practical estimates of rock mass strength Hoek, E.; Brown, E. International Journal of Rock Mechanics and Mining Science & Geomechanics Abstracts, Vol. 34, Issue 8 https://doi.org/10.1016/s0148-9062(97)00305-7	journal	December 1997
Microcrack-induced elastic wave anisotropy of brittle rocks Sayers, C. M.; Kachanov, M. Journal of Geophysical Research: Solid Earth, Vol. 100, Issue B3 https://doi.org/10.1029/94JB03134	journal	March 1995
On the generation of tangential ground motion by underground explosions in jointed rocks Vorobiev, Oleg; Ezzedine, Souheil; Antoun, Tarabay Geophysical Journal International, Vol. 200, Issue 3 https://doi.org/10.1093/gji/ggu478	journal	February 2015
Near-field non-radial motion generation from underground chemical explosions in jointed granite Vorobiev, Oleg; Ezzedine, Souheil; Hurley, Ryan Geophysical Journal International, Vol. 212, Issue 1 https://doi.org/10.1093/gji/ggx403	journal	September 2017