Abstract
In 1996 Johnson et al. were the first to identify peculiar rate effects in resonant bar experiments on various earth materials. The effects were evident on time scales of minutes to hours. They were also seen in both sedimentary and crystalline rocks, and have since been seen in geomaterials like concrete. Although these effects resemble some aspects of creep and creep recovery, they can be induced by a sinusoidal acoustic drive at strains three orders of magnitude below typical creep experiments. These strains are only a few tenths of a microstrain. Moreover, unlike most creep behavior, the effects have been shown to be macroscopically reversible and repeatable, over hundreds of experiments spanning nearly a year. The unique excitation and character of these rate effects cause them to be called slow dynamics. A review and discussion of slow dynamics is presented, pointing out similarities and differences with ordinary creep and focusing on laboratory experiments. A brief description of some possible mechanisms is included, and a new experiment on a sample of Berea sandstone in ultra high vacuum is shown to point out new research that hopes to help ascertain the role of water as a potential mechanism.
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References
Adams, F.D. and Coker, E.G. (1906), An investigation into the elastic constants of rocks, more especially with reference to cubic compressibility, Publ. 46, Carnegie Institute of Washington, Washington, DC.
Aleshin, V. and Van den Abeele, K. (2007), Microcontact-based theory for acoustics in microdamaged materials, J. Mech. Phys. Solids 55, doi:10.1016/j.jmps.2006.07.002.
Baisch, S. and Bokelmann, G.H.R. (2001), Seismic Waveform Attributes Before and After the Loma Prieta Earthquake: Scattering Change Near the Earthquakes and Temporal Recovery, J. Geophys. Res. 106, 16323–16337.
Bertotti, G., Hysteresis in Magnetism, (Academic Press, San Diego, 1998).
Clarke, V.A., Effect of Volatiles on Seismic Attenuation and Velocity in Sedimentary Rocks, Texas A&M University Ph.D. dissertation, (University Microfilms, Ann Arbor 1980).
Claytor, K. E., Koby, J. R. and TenCate, J. A. (2009), Limitations of Preisach Theory: Elastic aftereffect, congruence, and end point memory, Geophys. Res. Lett. 36, L06304, doi:10.1029/2008GL036978.
Darling, T.W., TenCate, J.A., Vogel, S., Proffen, T., Page, K., Herrera, C., Covington, A.M., Emmons, E. (2006), Localizing Nonclassical Nonlinearity in Geological Materials with Neutron Scattering Experiments, AIP Conference Proceedings 838, Innovations in Nonlinear Acoustics: ISNA 17 (Melville, New York 2006).
Darling, T.W. (2010), personal communication.
Guyer, R.A. and Johnson, P.A., Nonlinear Mesoscopic Elasticity, (Wiley-VCH, Weinheim 2009). Print ISBN: 9783527407033, Online ISBN: 9783527628261, doi:10.1002/9783527628261.
Guyer, R.A., Ch. 6 in The Science of Hysteresis, 3, eds. G. Bertotti, and I.D. Mayergoyz, (Academic Press, New York, 2006).
Hamiel, Y., Liu, Y., Lyakhovsky, V., Ben_Zion, Y. and Lockner, D. (2004), A viscoelastic damage model with applications to stable and unstable fracturing, Geophys. J. Int. 159, 1155–1165, doi:10.1111/j.1365-246X.2004.02452.x.
Haddad, S.C., Worden, R.H., Prior, D.J., and Smalley, P.C. (2006), Quartz cement in the Fontainebleau sandstone, Paris basin, France: Crystallography and implications for mechanisms of cement growth, J. Sedim. Res. 76, 244–256.
Holcomb, D. (1978), A Quantitative Model of Dilanancy in Dry Rock and its Application to Westerly Granite, J. Geophys. Res. 83, 4941–4950.
Holcomb, D. (1981), Memory, Relaxation, and Microfracturing in Dilatant Rock., J. Geophs. Res. 86, B7, 6235–6248.
Johnson, P.A., Zinszner, B., and Rasolofosaon, P.N.J. (1996), Resonance and elastic nonlinear phenomena in rock, J. Geophys. Res, 101, 11553–11564.
Johnson, P. and Sutin, A. (2005), Slow Dynamics and Anomalous Nonlinear Fast Dynamics in Diverse Solids, J. Acoust. Soc. Am. 117, 124–130 doi:10.1121/1.1823351.
Lobkis, O.I., and Weaver, R.L. (2009), On the Larsen Effect to Monitor Small Fast Changes in Materials, J. Acoust. Soc. Am. 125, 1894–1905.
Lomnitz, C. (1957), Creep Measurements in Igneous Rocks, J. Geol. 64, 473–479.
Lyakhovsky, V., Ben-Zion, Y., and Agnon, A., (1997), Distributed damage, faulting, and friction, J. Geophys. Res. 102, 27635–27649.
Lyakhovsky, V., Hamiel, Y., Ampuero, J.-P., and Ben-Zion, Y. (2009), Non-linear damage rheology and wave resonance in rocks, Geophys. J. Int. 178, 910–920, doi:10.1111/j.1365-246X.2009.04205.x.
Mack, C. (1946), Plastic Flow, Creep, and Stress Relaxation, Part II, Creep, J. Appl. Phys. 17, 1101–1107.
Page, K.L., Proffen, T., McLain, S.E., Darling, T.W., and TenCate, J.A. (2004), Local atomic structure of Fontainebleau Sandstone: Evidence for an Amorphous Phase? Geophys. Res. Lett. 31, L24606, doi:10.1029/2004GL021717.
Pandit, B.I. and Savage, J.C. (1973), An Experimental Test of Lomnitz’s Theory of Internal Friction in Rocks, J. Geophys. Res. 78, 6097–6099.
Pasqualini, D., Heitmann, K., TenCate, J. A., Habib, S., Higdon, D., Johnson, P. A. (2007), Nonequilibrium and nonlinear dynamics in Berea and Fontainebleau sandstones: Low-strain regime, J. Geophys. Res. 112, B01204 doi: 10.1029/2006JB004264.
Pecorari, C. (2004), Adhesion and nonlinear scattering by rough surfaces in contact: Beyond the phenomenology of the Preisach-Mayergoyz framework, J. Acoust. Soc. Am., 116, 1938–1947.
Peng, Z. and Ben-Zion, Y. (2006), Temporal changes of shallow seismic velocity around the Karadere-Düzce branch of the North Anatolian Fault and strong ground motion, Pure Appl. Geophys. 163, 567–600, doi:10.1007/x00024-005-0034-6.
Rubinstein, J.L. and Beroza, G.C. (2004), Nonlinear strong ground motion in the M L 5.4 Chittenden earthquake: Evidence that preexisting damage increases susceptibility to further damage, Geophys. Res. Lett. 31, L23614, doi:10.1029/2004GL021357.
Rutter, E.H. (1983), Pressure solution in nature, theory and experiment, J. Geol. Soc. Lond. 140, 725–740.
Scheidegger, A.E. (1957), Rheology of the Earth: The Basic Problem of Geodynamics, Can. J. Phys. 35, 383–397, doi: 10.1139/p57-044.
Scholz, C.H., The Mechanics of Earthquakes and Faulting, 2nd edition, (University Press, Cambridge 2002).
Sleep, N.H. and Hagin, P. (2008), Nonlinear attenuation and rock damage during strong seismic ground motions, Geochem. Geophys. Geosyst., 9, Q10015, doi:10.1029/2008GC002045.
TenCate, J.A., Pasqualini, D., Habib, S, Heitmann, K., Higdon, D. and Johnson, P.A. (2004). Nonlinear and Nonequilibrium Dynamics in Geomaterials, Phys. Rev. Lett. 93, doi:10.1103/PhysRevLett.93.065501.
TenCate, J.A. and Shankland, T.J. (1996), Slow Dynamics in the Elastic Response of Berea Sandstone, Geophs. Res. Lett. 23, 3019–3022.
TenCate, J.A., Smith, D.E., and Guyer, R.A. (2000), Universal Slow Dynamics in Granular Solids, Phys. Rev. Lett. 85, 1020–1023.
Vakhnenko, O.O, Vakhnenko, V.O., Shankland, T.J., and TenCate, J.A. (2004), Strain-induced Kinetics of Intergrain Defects as the Mechanism of Slow Dynamics in the Nonlinear Resonant Response of Humid Sandstone Bars, Phys. Rev. E. 70, 015602, doi:10.1103/PhysRevE.70.01.015602.
Wu, C., Peng, Z. and Ben-Zion, Y. (2009), Non-linearity and temporal changes of fault zone site response associated with strong ground motion, Geophys. J. Int. 176, 265–278, doi:10.111/j.1365-246X.2008.04005.x.
Xu, K., Cao, P., and Heath, J.R. (2010), Graphene Visualizes the First Water Adlayers on Mica at Ambient Conditions, Science, 329, 1188 doi:10.1126/science.1192907.
Zaitsev, V., Gusev, and V., Castagnede, B. (2003), Thermoelastic Mechanism for Logarithmic Slow Dynamics and Memory in Elastic Wave Interactions with Individual Cracks, Phys. Rev. Lett. 90, doi:10.1103/PhysRevLett.90.075501.
Acknowledgments
The author would like to thank and acknowledge the very helpful comments by the editor and reviewers. In addition, thanks to colleagues P.A. Johnson, T.J. Shankland, and R.A. Guyer for long, often provocative, and always helpful discussions over the past years. Special thanks go to H.A. Kim, D. Pasqualini, and S. Habib for numerous recent discussions. D.E. Smith was influential in the early stages of the research, and T.W. Darling is acknowledged for his current interest and involvement. Finally, the author wishes to gratefully acknowledge the support of the US Department of Energy through the LANL/LDRD Program for this work.
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TenCate, J.A. Slow Dynamics of Earth Materials: An Experimental Overview. Pure Appl. Geophys. 168, 2211–2219 (2011). https://doi.org/10.1007/s00024-011-0268-4
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DOI: https://doi.org/10.1007/s00024-011-0268-4