skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Nonlinear softening of unconsolidated granular earth materials

Journal Article · · Journal of Geophysical Research. Solid Earth
DOI:https://doi.org/10.1002/2017JB014498· OSTI ID:1469541

Unconsolidated granular earth materials exhibit softening behavior due to external perturbations such as seismic waves, namely, the wave speed and elastic modulus decrease upon increasing the strain amplitude above dynamics strains of about 10-6 under near-surface conditions. In this letter, we describe a theoretical model for such behavior. The model is based on the idea that shear transformation zones—clusters of grains that are loose and susceptible to contact changes, particle displacement, and rearrangement—are responsible for plastic deformation and softening of the material. We apply the theory to experiments on simulated fault gouge composed of glass beads and demonstrate that the theory predicts nonlinear resonance shifts, reduction of the P wave modulus, and attenuation, in agreement with experiments. The theory thus offers insights on the nature of nonlinear elastic properties of a granular medium and potentially into phenomena such as triggering on earthquake faults.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC); USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1469541
Report Number(s):
LA-UR-17-26614
Journal Information:
Journal of Geophysical Research. Solid Earth, Vol. 122, Issue 9; ISSN 2169-9313
Publisher:
American Geophysical UnionCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

References (32)

Nonlinear dynamics, granular media and dynamic earthquake triggering journal October 2005
Nonequilibrium thermodynamics in sheared hard-sphere materials journal June 2012
Thermodynamic theory of dislocation-mediated plasticity journal June 2010
A unified model of hysteresis and long-time relaxation in heterogeneous materials journal September 2014
Frequency, pressure, and strain dependence of nonlinear elasticity in Berea Sandstone journal April 2016
Thermal effects in dislocation theory journal December 2016
Strain-induced kinetics of intergrain defects as the mechanism of slow dynamics in the nonlinear resonant response of humid sandstone bars journal July 2004
Slow dynamics and anomalous nonlinear fast dynamics in diverse solids journal January 2005
Equation of state and wave propagation in hysteretic nonlinear elastic materials journal December 1994
Mapping pressurized volcanic fluids from induced crustal seismic velocity drops journal July 2014
Nonlinear ground-motion amplification by sediments during the 1994 Northridge earthquake journal December 1997
Shear-transformation-zone theory of plastic deformation near the glass transition journal February 2008
A set of measures for the systematic classification of the nonlinear elastic behavior of disparate rocks: RIVIÈRE ET AL. journal March 2015
Hysteresis, Discrete Memory, and Nonlinear Wave Propagation in Rock: A New Paradigm journal April 1995
Statistical thermodynamics of strain hardening in polycrystalline solids journal September 2015
Dynamic friction in sheared fault gouge: Implications of acoustic vibration on triggering and slow slip: VIBRATION: TRIGGERING AND SLOW SLIP journal March 2016
In situ characterization of shallow elastic nonlinear parameters with Dynamic Acoustoelastic Testing journal September 2014
Thermal effects in dislocation theory. II. Shear banding journal January 2017
Shear flow of angular grains: Acoustic effects and nonmonotonic rate dependence of volume journal September 2014
Monitoring seismic velocity change caused by the 2011 Tohoku-oki earthquake using ambient noise records: VELOCITY CHANGE FROM THE AMBIENT NOISE journal May 2012
Seismic Evidence for Rock Damage and Healing on the San Andreas Fault Associated with the 2004 M 6.0 Parkfield Earthquake journal September 2006
Constraining depth range of S wave velocity decrease after large earthquakes near Parkfield, California : DEPTH RANGE OF journal June 2016
Stick-slip instabilities in sheared granular flow: The role of friction and acoustic vibrations journal August 2015
Steady-state, effective-temperature dynamics in a glassy material journal November 2007
Depth constraints on nonlinear strong ground motion from the 2004 Parkfield earthquake: DEPTH CONSTRAINTS ON NONLINEARITY journal July 2005
Simulating stick-slip failure in a sheared granular layer using a physics-based constitutive model: STICK SLIP IN SHEARED GRANULAR LAYER journal January 2017
Nonlinear Mesoscopic Elasticity: The Complex Behaviour of Granular Media including Rocks and Soil book August 2009
Vibration-induced slip in sheared granular layers and the micromechanics of dynamic earthquake triggering journal September 2011
Dynamics of viscoplastic deformation in amorphous solids journal June 1998
Deformation and Failure of Amorphous, Solidlike Materials journal March 2011
Acoustic measurement of a granular density of modes journal January 2013
Deformation in amorphous–crystalline nanolaminates—an effective-temperature theory and interaction between defects journal March 2017

Cited By (1)

Irreversible transition of amorphous and polycrystalline colloidal solids under cyclic deformation journal December 2018