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

Abstract

We introduce 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 sufficient agreement with the laboratory and field data in that they suggest both the logarithmic law of recovery rate and deviations from this law.

Authors:
ORCiD logo [1];  [2]; ORCiD logo [3]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [5]; ORCiD logo [5]
  1. Univ. of Colorado, Boulder, CO (United States); Univ. of North Carolina, Chapel Hill, NC (United States); Russian Academy of Sciences (RAS), Nizhnyi Novgorod (Russian Federation)
  2. Russian Academy of Sciences (RAS), Nizhnyi Novgorod (Russian Federation)
  3. Pennsylvania State Univ., University Park, PA (United States)
  4. Univ. of Memphis, TN (United States)
  5. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC). Basic Energy Sciences (BES) (SC-22); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1544732
Alternate Identifier(s):
OSTI ID: 1523559
Report Number(s):
LA-UR-18-31318
Journal ID: ISSN 2169-9313
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Geophysical Research. Solid Earth
Additional Journal Information:
Journal Volume: 124; Journal Issue: 5; Journal ID: ISSN 2169-9313
Publisher:
American Geophysical Union
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; Slow Dynamics; Elasticity and anelasticity; Nonlinear elastic properties of rock; Earthquake dynamics; Nonlinear wave propagation

Citation Formats

Ostrovsky, Lev, Lebedev, A., Riviere, J., Shokouhi, Parisa, Wu, C., Stuber Geesey, Marcie Alberta, and Johnson, Paul Allan. Long-Time Relaxation Induced by Dynamic Forcing in Geomaterials. United States: N. p., 2019. Web. doi:10.1029/2018JB017076.
Ostrovsky, Lev, Lebedev, A., Riviere, J., Shokouhi, Parisa, Wu, C., Stuber Geesey, Marcie Alberta, & Johnson, Paul Allan. Long-Time Relaxation Induced by Dynamic Forcing in Geomaterials. United States. doi:10.1029/2018JB017076.
Ostrovsky, Lev, Lebedev, A., Riviere, J., Shokouhi, Parisa, Wu, C., Stuber Geesey, Marcie Alberta, and Johnson, Paul Allan. Tue . "Long-Time Relaxation Induced by Dynamic Forcing in Geomaterials". United States. doi:10.1029/2018JB017076. https://www.osti.gov/servlets/purl/1544732.
@article{osti_1544732,
title = {Long-Time Relaxation Induced by Dynamic Forcing in Geomaterials},
author = {Ostrovsky, Lev and Lebedev, A. and Riviere, J. and Shokouhi, Parisa and Wu, C. and Stuber Geesey, Marcie Alberta and Johnson, Paul Allan},
abstractNote = {We introduce 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 sufficient agreement with the laboratory and field data in that they suggest both the logarithmic law of recovery rate and deviations from this law.},
doi = {10.1029/2018JB017076},
journal = {Journal of Geophysical Research. Solid Earth},
number = 5,
volume = 124,
place = {United States},
year = {2019},
month = {4}
}

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Cited by: 3 works
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Works referenced in this record:

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

  • Chen, Jiu Hui; Froment, Bérénice; Liu, Qi Yuan
  • Geophysical Research Letters, Vol. 37, Issue 18
  • DOI: 10.1029/2010GL044582

Creep Measurements in Igneous Rocks
journal, September 1956

  • Lomnitz, C.
  • The Journal of Geology, Vol. 64, Issue 5
  • DOI: 10.1086/626379

Large tectonic earthquakes induce sharp temporary decreases in seismic velocity in Volcán de Colima, Mexico: VELOCITY VARIATIONS IN VOLCANO
journal, May 2014

  • Lesage, Philippe; Reyes-Dávila, Gabriel; Arámbula-Mendoza, Raúl
  • Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 5
  • DOI: 10.1002/2013JB010884

Pump and probe waves in dynamic acousto-elasticity: Comprehensive description and comparison with nonlinear elastic theories
journal, August 2013

  • Rivière, J.; Renaud, G.; Guyer, R. A.
  • Journal of Applied Physics, Vol. 114, Issue 5
  • DOI: 10.1063/1.4816395

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

  • Rubinstein, Justin L.; Uchida, Naoki; Beroza, Gregory C.
  • Journal of Geophysical Research, Vol. 112, Issue B5
  • DOI: 10.1029/2006JB004440

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

  • Wu, C.; Peng, Z.; Assimaki, D.
  • Bulletin of the Seismological Society of America, Vol. 99, Issue 6
  • DOI: 10.1785/0120090108

Time-dependent friction and the mechanics of stick-slip
journal, January 1978

  • Dieterich, James H.
  • Pure and Applied Geophysics PAGEOPH, Vol. 116, Issue 4-5
  • DOI: 10.1007/BF00876539

A set of measures for the systematic classification of the nonlinear elastic behavior of disparate rocks: RIVIÈRE ET AL.
journal, March 2015

  • Rivière, Jacques; Shokouhi, Parisa; Guyer, Robert A.
  • Journal of Geophysical Research: Solid Earth, Vol. 120, Issue 3
  • DOI: 10.1002/2014JB011718

Application of Dislocation Theory to Internal Friction Phenomena at High Frequencies
journal, July 1956

  • Granato, A.; Lücke, K.
  • Journal of Applied Physics, Vol. 27, Issue 7
  • DOI: 10.1063/1.1722485

Influence of change in physical state on elastic nonlinear response in rock: Significance of effective pressure and water saturation
journal, April 1997

  • Zinszner, Bernard; Johnson, Paul A.; Rasolofosaon, Patrick N. J.
  • Journal of Geophysical Research: Solid Earth, Vol. 102, Issue B4
  • DOI: 10.1029/96JB03225

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

  • Shokouhi, Parisa; Rivière, Jacques; Guyer, Robert A.
  • Applied Physics Letters, Vol. 111, Issue 25
  • DOI: 10.1063/1.5010043

Sudden drop of seismic velocity after the 2004 M w 6.6 mid-Niigata earthquake, Japan, observed with Passive Image Interferometry
journal, January 2009

  • Wegler, U.; Nakahara, H.; Sens-Schönfelder, C.
  • Journal of Geophysical Research, Vol. 114, Issue B6
  • DOI: 10.1029/2008JB005869

The influence of fluids on grain contact stiffness and frame moduli in sedimentary rocks
journal, December 1992

  • Tutuncu, Azra N.; Sharma, Mukul M.
  • GEOPHYSICS, Vol. 57, Issue 12
  • DOI: 10.1190/1.1443225

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

  • Lieou, Charles K. C.; Daub, Eric G.; Ecke, Robert E.
  • Journal of Geophysical Research: Solid Earth, Vol. 122, Issue 10
  • DOI: 10.1002/2017JB014131

Temporal change in site response caused by earthquake strong motion as revealed from coda spectral ratio measurement
journal, January 2006

  • Sawazaki, Kaoru; Sato, Haruo; Nakahara, Hisashi
  • Geophysical Research Letters, Vol. 33, Issue 21
  • DOI: 10.1029/2006GL027938

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

  • Hobiger, M.; Wegler, U.; Shiomi, K.
  • Journal of Geophysical Research: Solid Earth, Vol. 117, Issue B9
  • DOI: 10.1029/2012JB009402

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

  • Rivière, Jacques; Pimienta, Lucas; Scuderi, Marco
  • Geophysical Research Letters, Vol. 43, Issue 7
  • DOI: 10.1002/2016GL068061

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

  • Pasqualini, Donatella; Heitmann, Katrin; TenCate, James A.
  • Journal of Geophysical Research, Vol. 112, Issue B1
  • DOI: 10.1029/2006JB004264

Stress induced conditioning and thermal relaxation in the simulation of quasi-static compression experiments
journal, January 2003

  • Scalerandi, M.; Delsanto, P. P.; Johnson, P. A.
  • Journal of Physics D: Applied Physics, Vol. 36, Issue 3
  • DOI: 10.1088/0022-3727/36/3/311

Slow dynamics and anomalous nonlinear fast dynamics in diverse solids
journal, January 2005

  • Johnson, Paul; Sutin, Alexander
  • The Journal of the Acoustical Society of America, Vol. 117, Issue 1
  • DOI: 10.1121/1.1823351

Long-term change of site response after the M W 9.0 Tohoku earthquake in Japan
journal, December 2012


Monitoring Coseismic Temporal Changes of Shallow Material during Strong Ground Motion with Interferometry and Autocorrelation
journal, January 2019

  • Bonilla, Luis Fabian; Guéguen, Philippe; Ben‐Zion, Yehuda
  • Bulletin of the Seismological Society of America, Vol. 109, Issue 1
  • DOI: 10.1785/0120180092

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

  • Snieder, Roel; Sens-Schönfelder, Christoph; Wu, Renjie
  • Geophysical Journal International, Vol. 208, Issue 1
  • DOI: 10.1093/gji/ggw377

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

  • Johnson, Paul A.; Bodin, Paul; Gomberg, Joan
  • Journal of Geophysical Research, Vol. 114, Issue B5
  • DOI: 10.1029/2008JB005832

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

  • Guéguen, Philippe; Bonilla, Luis Fabian; Douglas, John
  • Bulletin of the Seismological Society of America, Vol. 109, Issue 1
  • DOI: 10.1785/0120180169

The acoustic properties of granular materials with pore size distribution close to log-normal
journal, November 2001

  • Horoshenkov, K. V.; Swift, M. J.
  • The Journal of the Acoustical Society of America, Vol. 110, Issue 5
  • DOI: 10.1121/1.1408312

Nonlinear site response evidence of K-NET and KiK-net records from the 2011 off the Pacific coast of Tohoku Earthquake
journal, July 2011

  • Bonilla, Luis Fabián; Tsuda, Kenichi; Pulido, Nelson
  • Earth, Planets and Space, Vol. 63, Issue 7
  • DOI: 10.5047/eps.2011.06.012

Constraining depth range of S wave velocity decrease after large earthquakes near Parkfield, California : DEPTH RANGE OF
journal, June 2016

  • Wu, Chunquan; Delorey, Andrew; Brenguier, Florent
  • Geophysical Research Letters, Vol. 43, Issue 12
  • DOI: 10.1002/2016GL069145

Nonlinear relaxation in geomaterials: New results
conference, January 2018

  • Ostrovsky, Lev; Lebedev, A.; Manakov, S.
  • 21st International Symposium on Nonlinear Acoustics, Proceedings of Meetings on Acoustics
  • DOI: 10.1121/2.0000910

Soft-ratchet modeling of end-point memory in the nonlinear resonant response of sedimentary rocks
journal, May 2005

  • Vakhnenko, Oleksiy O.; Vakhnenko, Vyacheslav O.; Shankland, Thomas J.
  • Physical Review B, Vol. 71, Issue 17
  • DOI: 10.1103/PhysRevB.71.174103

Nonlinear and Nonequilibrium Dynamics in Geomaterials
journal, August 2004


Nonlinear Elasticity Observed in Buildings during a Long Sequence of Earthquakes
journal, May 2018

  • Astorga, Ariana; Guéguen, Philippe; Kashima, Toshihide
  • Bulletin of the Seismological Society of America, Vol. 108, Issue 3A
  • DOI: 10.1785/0120170289

A new method for acoustic characterization of particulate materials: preliminary results
journal, August 2013

  • Averbakh, V. S.; Lebedev, A. V.; Manakov, S. A.
  • Radiophysics and Quantum Electronics, Vol. 56, Issue 3
  • DOI: 10.1007/s11141-013-9422-4

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

  • Renaud, G.; Le Bas, P. -Y.; Johnson, P. A.
  • Journal of Geophysical Research: Solid Earth, Vol. 117, Issue B6
  • DOI: 10.1029/2011JB009127

Modified Granato–Lucke Theory with Pinning Length Distribution in Solid 4 He
journal, March 2015

  • Kang, Evan S. H.; Yoon, Hongkee; Kim, Eunseong
  • Journal of the Physical Society of Japan, Vol. 84, Issue 3
  • DOI: 10.7566/JPSJ.84.034602

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