On the origin of nonlinear elasticity in disparate rocks

Riviere, Jacques Vincent; Shokouhi, Parisa; Guyer, Robert A.; Johnson, Paul Allan

doi:10.1002/2014JB011718

Title: On the origin of nonlinear elasticity in disparate rocks

Journal Article · Tue Mar 31 00:00:00 EDT 2015 · Journal of Geophysical Research. Solid Earth

DOI:https://doi.org/10.1002/2014JB011718· OSTI ID:1321750

Riviere, Jacques Vincent ^[1]; Shokouhi, Parisa ^[2]; Guyer, Robert A. ^[1]; Johnson, Paul Allan ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Pennsylvania State Univ., University Park, PA (United States)

Abstract Dynamic acoustoelastic testing is performed on a set of six rock samples (four sandstones, one soapstone, and one granite). From these studies at 20 strain levels 10 ⁻⁷ < ϵ <10 ⁻⁵ , four measures characterizing the nonlinear elastic response of each sample are found. Additionally, each sample is tested with nonlinear resonant ultrasonic spectroscopy and a fifth measure of nonlinear elastic response is found. These five measures of the nonlinear elastic response of the samples (approximately 3 × 6×20 × 5 numbers as each measurement is repeated 3 times) are subjected to careful analysis using model‐independent statistical methods, principal component analysis, and fuzzy clustering. This analysis reveals differences among the samples and differences among the nonlinear measures. Four of the nonlinear measures are sensing much the same physical mechanism in the samples. The fifth is seeing something different. This is the case for all samples. Although the same physical mechanisms (two) are operating in all samples, there are distinctive features in the way the physical mechanisms present themselves from sample to sample. This suggests classification of the samples into two groups. The numbers in this study and the classification of the measures/samples constitute an empirical characterization of rock nonlinear elastic properties that can serve as a valuable testing ground for physically based theories that relate rock nonlinear elastic properties to microscopic elastic features.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1321750

Alternate ID(s):: OSTI ID: 1402259

Report Number(s):: LA-UR-14-28140

Journal Information:: Journal of Geophysical Research. Solid Earth, Vol. 120, Issue 3; ISSN 2169-9313

Publisher:: American Geophysical UnionCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 62 works

Citation information provided by
Web of Science

References (39)

Carbonation assessment in concrete by nonlinear ultrasound Bouchaala, F.; Payan, C.; Garnier, V. Cement and Concrete Research, Vol. 41, Issue 5 https://doi.org/10.1016/j.cemconres.2011.02.006	journal	May 2011
On the quasi-analytic treatment of hysteretic nonlinear response in elastic wave propagation Van Den Abeele, Koen E-A; Johnson, Paul A.; Guyer, Robert A. The Journal of the Acoustical Society of America, Vol. 101, Issue 4 https://doi.org/10.1121/1.418198	journal	April 1997
High-accuracy acoustic detection of nonclassical component of material nonlinearity Haupert, Sylvain; Renaud, Guillaume; Rivière, Jacques The Journal of the Acoustical Society of America, Vol. 130, Issue 5 https://doi.org/10.1121/1.3641405	journal	November 2011
Slow Dynamics of Earth Materials: An Experimental Overview TenCate, James A. Pure and Applied Geophysics, Vol. 168, Issue 12 https://doi.org/10.1007/s00024-011-0268-4	journal	March 2011
Pump and probe waves in dynamic acousto-elasticity: Comprehensive description and comparison with nonlinear elastic theories Rivière, J.; Renaud, G.; Guyer, R. A. Journal of Applied Physics, Vol. 114, Issue 5 https://doi.org/10.1063/1.4816395	journal	August 2013
Hysteretic nonlinear elasticity of Berea sandstone at low-vibrational strain revealed by dynamic acousto-elastic testing: LOW STRAIN HYSTERETIC ANELASTICITY Renaud, G.; Rivière, J.; Le Bas, P. -Y. Geophysical Research Letters, Vol. 40, Issue 4 https://doi.org/10.1002/grl.50150	journal	February 2013
Anisotropy of dynamic acoustoelasticity in limestone, influence of conditioning, and comparison with nonlinear resonance spectroscopy Renaud, G.; Rivière, J.; Haupert, S. The Journal of the Acoustical Society of America, Vol. 133, Issue 6 https://doi.org/10.1121/1.4802909	journal	June 2013
Dynamic acoustoelastic testing of weakly pre-loaded unconsolidated water-saturated glass beads Renaud, Guillaume; Callé, Samuel; Defontaine, Marielle The Journal of the Acoustical Society of America, Vol. 128, Issue 6 https://doi.org/10.1121/1.3502461	journal	December 2010
One-dimensional nonlinear scattering by localized hysteretic damage and its application to damage characterization Pecorari, Claudio Ultrasonics, Vol. 57 https://doi.org/10.1016/j.ultras.2014.10.023	journal	March 2015
Adhesion and nonlinear scattering by rough surfaces in contact: Beyond the phenomenology of the Preisach–Mayergoyz framework Pecorari, Claudio The Journal of the Acoustical Society of America, Vol. 116, Issue 4 https://doi.org/10.1121/1.1785616	journal	October 2004
Applying nonlinear resonant ultrasound spectroscopy to improving thermal damage assessment in concrete Payan, C.; Garnier, V.; Moysan, J. The Journal of the Acoustical Society of America, Vol. 121, Issue 4 https://doi.org/10.1121/1.2710745	journal	April 2007
Observations of nonlinear elastic wave behavior in sandstone Meegan, G. Douglas; Johnson, Paul A.; Guyer, Robert A. The Journal of the Acoustical Society of America, Vol. 94, Issue 6 https://doi.org/10.1121/1.407191	journal	December 1993
Remote dynamic acoustoelastic testing: Elastic and dissipative acoustic nonlinearities measured under hydrostatic tension and compression Renaud, Guillaume; Callé, Samuel; Defontaine, Marielle Applied Physics Letters, Vol. 94, Issue 1 https://doi.org/10.1063/1.3064137	journal	January 2009
A Fuzzy Relative of the ISODATA Process and Its Use in Detecting Compact Well-Separated Clusters Dunn, J. C. Journal of Cybernetics, Vol. 3, Issue 3 https://doi.org/10.1080/01969727308546046	journal	January 1973
Friction in unconforming grain contacts as a mechanism for tensorial stress–strain hysteresis Aleshin, V.; Van Den Abeele, K. Journal of the Mechanics and Physics of Solids, Vol. 55, Issue 4 https://doi.org/10.1016/j.jmps.2006.10.001	journal	April 2007
Active and passive monitoring of the early hydration process in concrete using linear and nonlinear acoustics Van Den Abeele, K.; Desadeleer, W.; De Schutter, G. Cement and Concrete Research, Vol. 39, Issue 5 https://doi.org/10.1016/j.cemconres.2009.01.016	journal	May 2009
Nonlinear elastodynamics in micro-inhomogeneous solids observed by head-wave based dynamic acoustoelastic testing Renaud, G.; Talmant, M.; Callé, S. The Journal of the Acoustical Society of America, Vol. 130, Issue 6 https://doi.org/10.1121/1.3652871	journal	December 2011
Nonlinear Elastic Wave Spectroscopy (NEWS) Techniques to Discern Material Damage, Part II: Single-Mode Nonlinear Resonance Acoustic Spectroscopy Van Den Abeele, K. E. -A.; Carmeliet, J.; Ten Cate, J. A. Research in Nondestructive Evaluation, Vol. 12, Issue 1 https://doi.org/10.1080/09349840009409647	journal	January 2000
Nonlinear Elastic Wave Spectroscopy (NEWS) Techniques to Discern Material Damage, Part I: Nonlinear Wave Modulation Spectroscopy (NWMS) Van Den Abeele, K. E. -A.; Johnson, P. A.; Sutin, A. Research in Nondestructive Evaluation, Vol. 12, Issue 1 https://doi.org/10.1080/09349840009409646	journal	January 2000
Methods for Estimation of Subsample Time Delays of Digitized Echo Signals Céspedes, I.; Huang, Y.; Ophir, J. Ultrasonic Imaging, Vol. 17, Issue 2 https://doi.org/10.1177/016173469501700204	journal	April 1995
Modeling the elasto-acoustic hysteretic nonlinearity of dry Berea sandstone Pecorari, Claudio Wave Motion, Vol. 52 https://doi.org/10.1016/j.wavemoti.2014.09.001	journal	January 2015
Fast and slow dynamics in a nonlinear elastic bar excited by longitudinal vibrations Favrie, Nicolas; Lombard, Bruno; Payan, Cédric Wave Motion, Vol. 56 https://doi.org/10.1016/j.wavemoti.2015.02.014	journal	July 2015
Evidence of microstructure evolution in solid elastic media based on a power law analysis Scalerandi, M.; Idjimarene, S.; Bentahar, M. Communications in Nonlinear Science and Numerical Simulation, Vol. 22, Issue 1-3 https://doi.org/10.1016/j.cnsns.2014.09.007	journal	May 2015
Detection and Characterization of Cluster Substructure I. Linear Structure: Fuzzy c -Lines Bezdek, James C.; Coray, Chris; Gunderson, Robert SIAM Journal on Applied Mathematics, Vol. 40, Issue 2 https://doi.org/10.1137/0140029	journal	April 1981
Principal Component Analysis Jolliffe, Ian Encyclopedia of Statistics in Behavioral Science https://doi.org/10.1002/0470013192.bsa501	book	January 2005
Nonlinear stress-strain curves for solids containing closed cracks with friction Lawn, Brian R.; Marshall, David B. Journal of the Mechanics and Physics of Solids, Vol. 46, Issue 1 https://doi.org/10.1016/S0022-5096(97)00036-7	journal	January 1998
A unified model of hysteresis and long-time relaxation in heterogeneous materials Lebedev, A. V.; Ostrovsky, L. A. Acoustical Physics, Vol. 60, Issue 5 https://doi.org/10.1134/S1063771014050066	journal	September 2014
Equation of state and wave propagation in hysteretic nonlinear elastic materials McCall, K. R.; Guyer, R. A. Journal of Geophysical Research: Solid Earth, Vol. 99, Issue B12 https://doi.org/10.1029/94JB01941	journal	December 1994
Frictional effects on the volumetric strain of sandstone Nihei, K. T.; Hilbert, L. B.; Cook, N. G. W. International Journal of Rock Mechanics and Mining Sciences, Vol. 37, Issue 1-2 https://doi.org/10.1016/S1365-1609(99)00098-2	journal	January 2000
Nonequilibrium and nonlinear dynamics in Berea and Fontainebleau sandstones: Low-strain regime Pasqualini, Donatella; Heitmann, Katrin; TenCate, James A. Journal of Geophysical Research, Vol. 112, Issue B1 https://doi.org/10.1029/2006JB004264	journal	January 2007
Revealing highly complex elastic nonlinear (anelastic) behavior of Earth materials applying a new probe: Dynamic acoustoelastic testing: A NEW PROBE FOR ELASTICITY IN ROCKS Renaud, G.; Le Bas, P. -Y.; Johnson, P. A. Journal of Geophysical Research: Solid Earth, Vol. 117, Issue B6 https://doi.org/10.1029/2011JB009127	journal	June 2012
In situ characterization of shallow elastic nonlinear parameters with Dynamic Acoustoelastic Testing Renaud, G.; Rivière, J.; Larmat, C. Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 9 https://doi.org/10.1002/2013JB010625	journal	September 2014
Slow dynamics in the nonlinear elastic response of Berea sandstone Ten Cate, James A.; Shankland, Thomas J. Geophysical Research Letters, Vol. 23, Issue 21 https://doi.org/10.1029/96GL02884	journal	October 1996
Soft-ratchet modeling of end-point memory in the nonlinear resonant response of sedimentary rocks Vakhnenko, Oleksiy O.; Vakhnenko, Vyacheslav O.; Shankland, Thomas J. Physical Review B, Vol. 71, Issue 17 https://doi.org/10.1103/PhysRevB.71.174103	journal	May 2005
Damage assessment in reinforced concrete using spectral and temporal nonlinear vibration techniques Van Den Abeele, Koen; De Visscher, Joëlle Cement and Concrete Research, Vol. 30, Issue 9 https://doi.org/10.1016/S0008-8846(00)00329-X	journal	September 2000
Nonlinear acoustoelastic constants of dry and saturated rocks: NONLINEAR ACOUSTOELASTIC CONSTANTS Winkler, Kenneth W.; McGowan, Larry Journal of Geophysical Research: Solid Earth, Vol. 109, Issue B10 https://doi.org/10.1029/2004JB003262	journal	October 2004
Model for nonlinear wave propagation derived from rock hysteresis measurements Xu, Heming; Day, Steven M.; Minster, Jean-Bernard H. Journal of Geophysical Research: Solid Earth, Vol. 103, Issue B12 https://doi.org/10.1029/98JB02838	journal	December 1998
Nonlinear Elastic Wave Spectroscopy (NEWS) Techniques to Discern Material Damage, Part II: Single-Mode Nonlinear Resonance Acoustic Spectroscopy Abeele, K. E. -A. Van Den; Carmeliet, J.; Cate, J. A. Ten Research in Nondestructive Evaluation, Vol. 12, Issue 1 https://doi.org/10.1080/09349840008968160	journal	January 2000
Nonlinear Elastic Wave Spectroscopy (NEWS) Techniques to Discern Material Damage, Part I: Nonlinear Wave Modulation Spectroscopy (NWMS) Abeele, K. E. -A. Van Den; Johnson, P. A.; Sutin, A. Research in Nondestructive Evaluation, Vol. 12, Issue 1 https://doi.org/10.1080/09349840008968159	journal	January 2000

Cited By (7)

Analysis of Elastic Nonlinearity Using Continuous Waves: Validation and Applications Di Bella, Angelo; Gliozzi, Antonio S.; Scalerandi, Marco Applied Sciences, Vol. 9, Issue 24 https://doi.org/10.3390/app9245332	journal	December 2019
Nonlinear Classical Elasticity Model for Materials with Fluid and Matrix Phases Muñoz, Rafael; Melchor, Juan Mathematical Problems in Engineering, Vol. 2018 https://doi.org/10.1155/2018/5049104	journal	November 2018
Dynamic acousto-elastic response of single fatigue cracks with different microstructural features: An experimental investigation Jin, Jiang; Rivière, Jacques; Ohara, Yoshikazu Journal of Applied Physics, Vol. 124, Issue 7 https://doi.org/10.1063/1.5036531	journal	August 2018
The time dependence of rock healing as a universal relaxation process, a tutorial Snieder, Roel; Sens-Schönfelder, Christoph; Wu, Renjie Geophysical Journal International, Vol. 208, Issue 1 https://doi.org/10.1093/gji/ggw377	journal	October 2016
A data-driven approach to construct a quantitative relationship between microstructural features of fatigue cracks and contact acoustic nonlinearity Jin, Jiang; Shokouhi, Parisa AIP Advances, Vol. 9, Issue 8 https://doi.org/10.1063/1.5115477	journal	August 2019
NDE1.0: a new database of earthquake data recordings from buildings for engineering applications Astorga, Ariana; Guéguen, Philippe; Ghimire, Subash Bulletin of Earthquake Engineering, Vol. 18, Issue 4 https://doi.org/10.1007/s10518-019-00746-6	journal	October 2019
Recovery of the resonance frequency of buildings following strong seismic deformation as a proxy for structural health Astorga, Ariana Lucia; Guéguen, Philippe; Rivière, Jacques Structural Health Monitoring, Vol. 18, Issue 5-6 https://doi.org/10.1177/1475921718820770	journal	September 2018

Similar Records

Frequency, pressure and strain dependence of nonlinear elasticity in Berea Sandstone

Journal Article · Thu Apr 14 00:00:00 EDT 2016 · Geophysical Research Letters · OSTI ID:1321750

Riviere, Jacques; Johnson, Paul Allan; Marone, Chris; +6 more

Nonlinear elastodynamic behavior of intact and fractured rock under in-situ stress and saturation conditions

Journal Article · Sun May 16 00:00:00 EDT 2021 · Journal of the Mechanics and Physics of Solids · OSTI ID:1321750

Manogharan, Prabhakaran; Wood, Clay; Marone, Chris; +3 more

Nonlinear elasticity in rocks: A comprehensive three-dimensional description

Journal Article · Mon Jul 17 00:00:00 EDT 2017 · Physical Review Materials · OSTI ID:1321750

Lott, Martin; Remillieux, Marcel C.; Garnier, Vincent; +3 more

Related Subjects

36 MATERIALS SCIENCE
Material Science

Title: On the origin of nonlinear elasticity in disparate rocks

Citation Formats

References (39)

Cited By (7)

Similar Records

Related Subjects