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

Title: Long-Time Relaxation Induced by Dynamic Forcing in Geomaterials

Journal Article · · Journal of Geophysical Research. Solid Earth
DOI:https://doi.org/10.1029/2018JB017076· OSTI ID:1544732

Abstract We present a theoretical model and experimental evidence of the long‐time relaxation process (slow dynamics) in rocks and other geomaterials following a dynamic wave excitation, at scales ranging from the laboratory to the Earth. The model is based on the slow recovery of an ensemble of grain contacts and asperities broken by a mechanical impact. It includes an Arrhenius‐type equation for recovery of the metastable, broken contacts. The model provides a characteristic size of the broken contacts (order 10 −9 m) and predicts that their number increases with impact amplitude. Theoretical results are in good agreement with the laboratory and field data in that they predict both the logarithmic law of recovery rate and deviations from this law.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC). Basic Energy Sciences (BES) (SC-22); USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1544732
Alternate ID(s):
OSTI ID: 1523559
Report Number(s):
LA-UR-18-31318
Journal Information:
Journal of Geophysical Research. Solid Earth, Vol. 124, Issue 5; ISSN 2169-9313
Publisher:
American Geophysical UnionCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science

References (55)

Nonlinear dynamics, granular media and dynamic earthquake triggering journal October 2005
Distribution of seismic wave speed changes associated with the 12 May 2008 Mw 7.9 Wenchuan earthquake: WAVE SPEED CHANGED BY THE WENCHUAN EARTHQUAKE journal September 2010
Creep Measurements in Igneous Rocks journal September 1956
Large tectonic earthquakes induce sharp temporary decreases in seismic velocity in Volcán de Colima, Mexico: VELOCITY VARIATIONS IN VOLCANO journal May 2014
Pump and probe waves in dynamic acousto-elasticity: Comprehensive description and comparison with nonlinear elastic theories journal August 2013
Modeling nonclassical nonlinearity, conditioning, and slow dynamics effects in mesoscopic elastic materials journal August 2003
Seismic velocity reductions caused by the 2003 Tokachi-Oki earthquake journal January 2007
Temporal Changes in Site Response Associated with the Strong Ground Motion of the 2004 Mw 6.6 Mid-Niigata Earthquake Sequences in Japan journal November 2009
Time-dependent friction and the mechanics of stick-slip journal January 1978
A set of measures for the systematic classification of the nonlinear elastic behavior of disparate rocks: RIVIÈRE ET AL. journal March 2015
Application of Dislocation Theory to Internal Friction Phenomena at High Frequencies journal July 1956
Influence of change in physical state on elastic nonlinear response in rock: Significance of effective pressure and water saturation
  • Zinszner, Bernard; Johnson, Paul A.; Rasolofosaon, Patrick N. J.
  • Journal of Geophysical Research: Solid Earth, Vol. 102, Issue B4 https://doi.org/10.1029/96JB03225
journal April 1997
Hysteresis, Discrete Memory, and Nonlinear Wave Propagation in Rock: A New Paradigm journal April 1995
Slow dynamics of consolidated granular systems: Multi-scale relaxation journal December 2017
Sudden drop of seismic velocity after the 2004 M w 6.6 mid-Niigata earthquake, Japan, observed with Passive Image Interferometry journal January 2009
The influence of fluids on grain contact stiffness and frame moduli in sedimentary rocks journal December 1992
Nonlinear acoustic spectroscopy of carbonate rocks journal May 2017
Non-linearity and temporal changes of fault zone site response associated with strong ground motion journal January 2009
Observation of slow dynamics effects in nonconsolidated media under in situ conditions journal March 2009
Slow Dynamics and Strength Recovery in Unconsolidated Granular Earth Materials: A Mechanistic Theory: SLOW DYNAMICS IN GRANULAR EARTH MATERIALS journal October 2017
Influence of water saturation on the nonlinear elastic mesoscopic response in Earth materials and the implications to the mechanism of nonlinearity journal January 2002
Amplitude- and frequency-dependent nonlinearities in the presence of thermally-induced transitions in the Preisach model of acoustic hysteresis journal August 2005
Temporal change in site response caused by earthquake strong motion as revealed from coda spectral ratio measurement journal January 2006
Universal Slow Dynamics in Granular Solids journal July 2000
Temporal Changes of Shallow Seismic Velocity Around the Karadere-Düzce Branch of the North Anatolian Fault and Strong Ground Motion journal March 2006
Coseismic and postseismic elastic wave velocity variations caused by the 2008 Iwate-Miyagi Nairiku earthquake, Japan: 2008 IWATE EARTHQUAKE VELOCITY CHANGES journal September 2012
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
Micro-potential model for stress?strain hysteresis of micro-cracked materials journal April 2005
Postseismic Relaxation Along the San Andreas Fault at Parkfield from Continuous Seismological Observations journal September 2008
Nonequilibrium and nonlinear dynamics in Berea and Fontainebleau sandstones: Low-strain regime journal January 2007
Stress induced conditioning and thermal relaxation in the simulation of quasi-static compression experiments journal January 2003
Slow dynamics and anomalous nonlinear fast dynamics in diverse solids journal January 2005
Long-term change of site response after the M W 9.0 Tohoku earthquake in Japan journal December 2012
Seismic velocity changes in the epicentral region of the 2008 Wenchuan earthquake measured from three-component ambient noise correlation techniques: TEMPORAL CHANGES IN WENCHUAN EPICENTER journal January 2014
Monitoring Coseismic Temporal Changes of Shallow Material during Strong Ground Motion with Interferometry and Autocorrelation journal January 2019
Adhesion of spheres: The JKR-DMT transition using a dugdale model journal April 1992
The time dependence of rock healing as a universal relaxation process, a tutorial journal October 2016
Damage to the shallow Landers fault from the nearby Hector Mine earthquake journal January 2003
Inducing in situ, nonlinear soil response applying an active source journal January 2009
Time-Lapse Changes of Seismic Velocity in the Shallow Ground Caused by Strong Ground Motion Shock of the 2000 Western-Tottori Earthquake, Japan, as Revealed from Coda Deconvolution Analysis journal February 2009
Slow Relaxation and Aging Phenomena at the Nanoscale in Granular Materials journal March 2014
Comparison of Soil Nonlinearity ( In Situ Stress–Strain Relation and G/Gmax Reduction) Observed in Strong‐Motion Databases and Modeled in Ground‐Motion Prediction Equations journal November 2018
The acoustic properties of granular materials with pore size distribution close to log-normal journal November 2001
Nonlinear site response evidence of K-NET and KiK-net records from the 2011 off the Pacific coast of Tohoku Earthquake journal July 2011
Constraining depth range of S wave velocity decrease after large earthquakes near Parkfield, California : DEPTH RANGE OF journal June 2016
Nonlinear relaxation in geomaterials: New results
  • Ostrovsky, Lev; Lebedev, A.; Manakov, S.
  • 21st International Symposium on Nonlinear Acoustics, Proceedings of Meetings on Acoustics https://doi.org/10.1121/2.0000910
conference January 2018
Nonlinear Mesoscopic Elasticity: The Complex Behaviour of Granular Media including Rocks and Soil book August 2009
Soft-ratchet modeling of end-point memory in the nonlinear resonant response of sedimentary rocks journal May 2005
Nonlinear and Nonequilibrium Dynamics in Geomaterials journal August 2004
Nonlinear Elasticity Observed in Buildings during a Long Sequence of Earthquakes journal May 2018
A new method for acoustic characterization of particulate materials: preliminary results journal August 2013
Revealing highly complex elastic nonlinear (anelastic) behavior of Earth materials applying a new probe: Dynamic acoustoelastic testing: A NEW PROBE FOR ELASTICITY IN ROCKS journal June 2012
Modified Granato–Lucke Theory with Pinning Length Distribution in Solid 4 He journal March 2015
Nonlinear and Nonequilibrium Dynamics in Geomaterials text January 2004

Cited By (2)

Slow dynamic nonlinearity in unconsolidated glass bead packs journal January 2020
Slow dynamics in a single glass bead journal January 2020

Similar Records

Microscale mechanical modeling of deformable geomaterials with dynamic contacts based on the numerical manifold method
Journal Article · Wed Aug 05 00:00:00 EDT 2020 · Computational Geosciences · OSTI ID:1544732

Surface-supported cluster catalysis: Ensembles of metastable states run the show
Journal Article · Tue May 28 00:00:00 EDT 2019 · Wiley Interdisciplinary Reviews: Computational Molecular Science · OSTI ID:1544732

Time-Dependent Consolidation in Porous Geomaterials at In Situ Conditions of Temperature and Pressure
Journal Article · Mon Jul 23 00:00:00 EDT 2018 · Journal of Geophysical Research. Solid Earth · OSTI ID:1544732