Propagation of a finite-amplitude elastic pulse in a bar of Berea sandstone: A detailed look at the mechanisms of classical nonlinearity, hysteresis, and nonequilibrium dynamics: Nonlinear propagation of elastic pulse
Abstract
Here, we study the propagation of a finite-amplitude elastic pulse in a long thin bar of Berea sandstone. In previous work, this type of experiment has been conducted to quantify classical nonlinearity, based on the amplitude growth of the second harmonic as a function of propagation distance. To greatly expand on that early work, a non-contact scanning 3D laser Doppler vibrometer was used to track the evolution of the axial component of the particle velocity over the entire surface of the bar as functions of the propagation distance and source amplitude. With these new measurements, the combined effects of classical nonlinearity, hysteresis, and nonequilibrium dynamics have all been measured simultaneously. We then show that the numerical resolution of the 1D wave equation with terms for classical nonlinearity and attenuation accurately captures the spectral features of the waves up to the second harmonic. But, for higher harmonics the spectral content is shown to be strongly influenced by hysteresis. This work also shows data which not only quantifies classical nonlinearity but also the nonequilibrium dynamics based on the relative change in the arrival time of the elastic pulse as a function of strain and distance from the source. Finally, a comparison ismore »
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Chevron Energy Technology Company, Houston TX (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1406217
- Report Number(s):
- LA-UR-17-23271
Journal ID: ISSN 2169-9313; TRN: US1703032
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Geophysical Research. Solid Earth
- Additional Journal Information:
- Journal Volume: 122; Journal Issue: 11; Journal ID: ISSN 2169-9313
- Publisher:
- American Geophysical Union
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES
Citation Formats
Remillieux, Marcel C., Ulrich, T. J., Goodman, Harvey E., and Ten Cate, James A. Propagation of a finite-amplitude elastic pulse in a bar of Berea sandstone: A detailed look at the mechanisms of classical nonlinearity, hysteresis, and nonequilibrium dynamics: Nonlinear propagation of elastic pulse. United States: N. p., 2017.
Web. doi:10.1002/2017JB014258.
Remillieux, Marcel C., Ulrich, T. J., Goodman, Harvey E., & Ten Cate, James A. Propagation of a finite-amplitude elastic pulse in a bar of Berea sandstone: A detailed look at the mechanisms of classical nonlinearity, hysteresis, and nonequilibrium dynamics: Nonlinear propagation of elastic pulse. United States. https://doi.org/10.1002/2017JB014258
Remillieux, Marcel C., Ulrich, T. J., Goodman, Harvey E., and Ten Cate, James A. Wed .
"Propagation of a finite-amplitude elastic pulse in a bar of Berea sandstone: A detailed look at the mechanisms of classical nonlinearity, hysteresis, and nonequilibrium dynamics: Nonlinear propagation of elastic pulse". United States. https://doi.org/10.1002/2017JB014258. https://www.osti.gov/servlets/purl/1406217.
@article{osti_1406217,
title = {Propagation of a finite-amplitude elastic pulse in a bar of Berea sandstone: A detailed look at the mechanisms of classical nonlinearity, hysteresis, and nonequilibrium dynamics: Nonlinear propagation of elastic pulse},
author = {Remillieux, Marcel C. and Ulrich, T. J. and Goodman, Harvey E. and Ten Cate, James A.},
abstractNote = {Here, we study the propagation of a finite-amplitude elastic pulse in a long thin bar of Berea sandstone. In previous work, this type of experiment has been conducted to quantify classical nonlinearity, based on the amplitude growth of the second harmonic as a function of propagation distance. To greatly expand on that early work, a non-contact scanning 3D laser Doppler vibrometer was used to track the evolution of the axial component of the particle velocity over the entire surface of the bar as functions of the propagation distance and source amplitude. With these new measurements, the combined effects of classical nonlinearity, hysteresis, and nonequilibrium dynamics have all been measured simultaneously. We then show that the numerical resolution of the 1D wave equation with terms for classical nonlinearity and attenuation accurately captures the spectral features of the waves up to the second harmonic. But, for higher harmonics the spectral content is shown to be strongly influenced by hysteresis. This work also shows data which not only quantifies classical nonlinearity but also the nonequilibrium dynamics based on the relative change in the arrival time of the elastic pulse as a function of strain and distance from the source. Finally, a comparison is made to a resonant bar measurement, a reference experiment used to quantify nonequilibrium dynamics, based on the relative shift of the resonance frequencies as a function of the maximum dynamic strain in the sample.},
doi = {10.1002/2017JB014258},
journal = {Journal of Geophysical Research. Solid Earth},
number = 11,
volume = 122,
place = {United States},
year = {2017},
month = {10}
}
Web of Science
Works referenced in this record:
Propagation of Acoustics Waves of Nonsimplex form in a Material with Hysteretic Quadratic Nonlinearity: Analysis and Numerical Simulations
journal, September 2004
- Aleshin, V.; Gusev, V.; Yu. Zaitsev, V.
- Journal of Computational Acoustics, Vol. 12, Issue 03
Nonlinear waves in solids with slow dynamics: an internal-variable model
journal, May 2017
- Berjamin, H.; Favrie, N.; Lombard, B.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 473, Issue 2201
Nonlinear Hysteretic Torsional Waves
journal, July 2015
- Cabaret, J.; Béquin, P.; Theocharis, G.
- Physical Review Letters, Vol. 115, Issue 5
A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
journal, June 1993
- Chung, J.; Hulbert, G. M.
- Journal of Applied Mechanics, Vol. 60, Issue 2
Propagation of acoustic pulses in material with hysteretic nonlinearity
journal, June 2000
- Gusev, Vitalyi
- The Journal of the Acoustical Society of America, Vol. 107, Issue 6
Nonlinear bulk and surface shear acoustic waves in materials with hysteresis and end-point memory
journal, July 1997
- Gusev, V.; Glorieux, C.; Lauriks, W.
- Physics Letters A, Vol. 232, Issue 1-2
Nonlinear Mesoscopic Elasticity: Evidence for a New Class of Materials
journal, April 1999
- Guyer, Robert A.; Johnson, Paul A.
- Physics Today, Vol. 52, Issue 4
Hysteresis, Discrete Memory, and Nonlinear Wave Propagation in Rock: A New Paradigm
journal, April 1995
- Guyer, R. A.; McCall, K. R.; Boitnott, G. N.
- Physical Review Letters, Vol. 74, Issue 17
Memory, relaxation, and microfracturing in dilatant rock
journal, July 1981
- Holcomb, David J.
- Journal of Geophysical Research: Solid Earth, Vol. 86, Issue B7
Resonance and elastic nonlinear phenomena in rock
journal, May 1996
- Johnson, Paul A.; Zinszner, Bernard; Rasolofosaon, Patrick N. J.
- Journal of Geophysical Research: Solid Earth, Vol. 101, Issue B5
Frequency spectra of nonlinear elastic pulse‐mode waves
journal, September 1996
- Kadish, Abraham; TenCate, James A.; Johnson, Paul A.
- The Journal of the Acoustical Society of America, Vol. 100, Issue 3
Nonlinear elasticity in rocks: A comprehensive three-dimensional description
journal, July 2017
- Lott, Martin; Remillieux, Marcel C.; Garnier, Vincent
- Physical Review Materials, Vol. 1, Issue 2
From local to global measurements of nonclassical nonlinear elastic effects in geomaterials
journal, September 2016
- Lott, Martin; Remillieux, Marcel C.; Le Bas, Pierre-Yves
- The Journal of the Acoustical Society of America, Vol. 140, Issue 3
Non-linear damage rheology and wave resonance in rocks
journal, August 2009
- Lyakhovsky, V.; Hamiel, Y.; Ampuero, J. -P.
- Geophysical Journal International, Vol. 178, Issue 2
Theoretical study of nonlinear elastic wave propagation
journal, February 1994
- McCall, K. R.
- Journal of Geophysical Research: Solid Earth, Vol. 99, Issue B2
Observations of nonlinear elastic wave behavior in sandstone
journal, December 1993
- Meegan, G. Douglas; Johnson, Paul A.; Guyer, Robert A.
- The Journal of the Acoustical Society of America, Vol. 94, Issue 6
Finite Deformations of an Elastic Solid
journal, April 1937
- Murnaghan, F. D.
- American Journal of Mathematics, Vol. 59, Issue 2
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
A constitutive relationship for mechanical hysteresis of sandstone materials
journal, December 2015
- Pecorari, Claudio
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 471, Issue 2184
Decoupling Nonclassical Nonlinear Behavior of Elastic Wave Types
journal, March 2016
- Remillieux, Marcel C.; Guyer, Robert A.; Payan, Cédric
- Physical Review Letters, Vol. 116, Issue 11
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
Nonlinear elastodynamics in micro-inhomogeneous solids observed by head-wave based dynamic acoustoelastic testing
journal, December 2011
- Renaud, G.; Talmant, M.; Callé, S.
- The Journal of the Acoustical Society of America, Vol. 130, Issue 6
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
Slow Dynamics of Earth Materials: An Experimental Overview
journal, March 2011
- TenCate, James A.
- Pure and Applied Geophysics, Vol. 168, Issue 12
The effect of crack orientation on the nonlinear interaction of a P wave with an S wave : MODULATION OF
journal, June 2016
- TenCate, J. A.; Malcolm, A. E.; Feng, X.
- Geophysical Research Letters, Vol. 43, Issue 12
Nonlinear and Nonequilibrium Dynamics in Geomaterials
journal, August 2004
- TenCate, James A.; Pasqualini, Donatella; Habib, Salman
- Physical Review Letters, Vol. 93, Issue 6
Slow dynamics in the nonlinear elastic response of Berea sandstone
journal, October 1996
- Ten Cate, James A.; Shankland, Thomas J.
- Geophysical Research Letters, Vol. 23, Issue 21
Slow dynamics experiments in solids with nonlinear mesoscopic elasticity
conference, January 2000
- TenCate, James A.
- 15th international symposium on nonlinear acoustics: Nonlinear acoustics at the turn of the millennium, AIP Conference Proceedings
Universal Slow Dynamics in Granular Solids
journal, July 2000
- TenCate, James A.; Smith, Eric; Guyer, Robert A.
- Physical Review Letters, Vol. 85, Issue 5
Laboratory study of linear and nonlinear elastic pulse propagation in sandstone
journal, September 1996
- TenCate, James A.; Van Den Abeele, Koen E. A.; Shankland, Thomas J.
- The Journal of the Acoustical Society of America, Vol. 100, Issue 3
Interpretation of Ultrasonic Experiments on Finite‐Amplitude Waves
journal, April 1967
- Thurston, R. N.; Shapiro, M. J.
- The Journal of the Acoustical Society of America, Vol. 41, Issue 4B
Strain-induced kinetics of intergrain defects as the mechanism of slow dynamics in the nonlinear resonant response of humid sandstone bars
journal, July 2004
- Vakhnenko, Oleksiy O.; Vakhnenko, Vyacheslav O.; Shankland, Thomas J.
- Physical Review E, Vol. 70, Issue 1
Elastic pulsed wave propagation in media with second‐ or higher‐order nonlinearity. Part I. Theoretical framework
journal, June 1996
- Van Den Abeele, Koen E‐A
- The Journal of the Acoustical Society of America, Vol. 99, Issue 6
On the quasi-analytic treatment of hysteretic nonlinear response in elastic wave propagation
journal, April 1997
- Van Den Abeele, Koen E-A; Johnson, Paul A.; Guyer, Robert A.
- The Journal of the Acoustical Society of America, Vol. 101, Issue 4
Nonlinear Elastic Wave Spectroscopy (NEWS) Techniques to Discern Material Damage, Part I: Nonlinear Wave Modulation Spectroscopy (NWMS)
journal, January 2000
- Van Den Abeele, K. E. -A.; Johnson, P. A.; Sutin, A.
- Research in Nondestructive Evaluation, Vol. 12, Issue 1
Friction and seismic attenuation in rocks
journal, February 1979
- Winkler, Kenneth; Nur, Amos; Gladwin, Michael
- Nature, Vol. 277, Issue 5697
The effect of cyclic differential stress on dilatancy in westerly granite under uniaxial and triaxial conditions
journal, April 1975
- Zoback, Mark D.; Byerlee, James D.
- Journal of Geophysical Research, Vol. 80, Issue 11
Works referencing / citing this record:
Direct imaging of moisture effects during slow dynamic nonlinearity
journal, January 2019
- Bittner, J. A.; Popovics, J. S.
- Applied Physics Letters, Vol. 114, Issue 2