Abstract
Here we provide a review of research on slow motions and strain waves in the Earth and propose a substantiated hypothesis that all stress-strain perturbations in the form of slow waves propagating in solids and geomedia, including plastic waves in metals and waves in faults of different scales, are of common physical nature. Loaded solids and geomedia are active hierarchically organized multiscale systems that display nonlinear dynamics and lose their stability when disturbed by any dynamic processes at block boundaries, e.g., displacements in fault zones. Such a medium cooperatively responds to parametric excitation by generating slow strain waves (autowaves) as a way of its self-organization. In support of the proposed concept, a consistent mathematical model is suggested for describing the evolution of stress-strain states and slow strain autowaves in an unstable elastoplastic medium, and examples of simulations are presented for strain autowaves in ductile materials under tension and quasi-brittle materials and geomedia with a fault zone under compression.
Similar content being viewed by others
References
Goldin, S.V., Yushin, V.I., Ruzhich, V.V., and Smekalkin, O.P., Slow Motions: Myth or Reality? Physical Basics for Rock Failure Prediction: Proc. IX Int. Workshop, Krasnoyarsk, 2002, Novosibirsk: Geo, 2002, pp. 213–220.
Bykov, V.G., Strain Waves in the Earth: Theory, Field Data, and Models, Rus. Geol. Geophys., 2005, vol. 46, no. 11, pp. 1158–1170.
Guberman, Sh.A., D Waves and Earthquakes. Theory and Analysis of Seismic Observations, Comput. Seismol., 1980, no. 12, p. 136.
Nevsky, M.V., Fews, G.S., and Morozova, L.A., Strain Propagation: Field Data and Models, Physical Basics of Seismic Monitoring (Unconventional Geophysics), Moscow: Nauka, 1991, pp. 39–56.
Nevsky, M.V., Artamonov, A.M., and Riznichenko, O.Yu., Strain Waves and Seismic Energy, Dokl. Akad. Nauk SSSR, 1991, vol. 318, no. 2, pp. 316–320.
Bykov, V.G., Waves of Activation in Crustal Faults, Tikhookean. Geol., 2000, vol. 19, no. 1, pp. 104–108.
Bykov, V.G., Nonlinear Wave Processes in Geological Media, Vladivostok: Dalnauka, 2000.
Malamud, A.S. and Nikolaevsky, V.N., Recurrence of Pamirs-Hindu Kush Earthquakes and Tectonic Waves in Subducting Plates, Dokl. Akad. Nauk SSSR, 1983, vol. 269, pp. 1075–1078.
Malamud, A.S. and Nikolaevsky, V.N., Cyclic Seismotectonic Events at the Indian Plate Edges, Dokl. Akad. Nauk SSSR, 1985, vol. 283, no. 6, pp. 1333–1337.
Malamud, A.S. and Nikolaevsky, V.N., Mantle Fault Activation Beneath the Hindu Kush in 1983-1985, Dokl. Akad Nauk. SSSR, 1989, vol. 308, no. 2, pp. 324–328.
Psakhie, S.G., Ruzhich, V.V., Smekalin, O.P., and Shilko, E.V., Response of the Geological Media to Dynamic Loading, Phys. Mesomech., 2001, vol. 4, no. 1, pp. 63–66.
Kuzmin, Yu.O., Deformation Autowaves in Fault Zones, Izv. Phys. Solid Earth, 2012, vol. 48, no. 1, pp. 1–16.
Kuzmin, Yu.O., Recent Geodynamics of the Faults and Paradoxes of the Rates of Deformation, Izv. Phys. Solid Earth, 2013, vol. 49, no. 5, pp. 626–642.
Vostrikov, V.I., Ruzhich, V.V., and Federyaev, O.V., Monitoring Rock Fall-Hazardous Sites in Open Pit Walls, J. Min. Sci., 2009, vol. 45, no. 6, pp. 620–627.
Levina, E.A. and Ruzhich, V.V., Earthquake Migration as a Manifestation of Strain Waves in the Earth Crust, Trigger Effects in Geosystems: Proc. All-Russian Workshop, Moscow: Geos, 2010, pp. 71–78.
Oparin, V.N., Sashurin, A.D., Leontiev, A.V., et al., Earth’ s Crust Destruction and Self-Organization in the Areas of Severe Mining Impact, Melnikov, N.N., Ed., Novosibirsk: SO RAN, 2012.
Levina, E.A. and Ruzhich, V.V., The Seismicity Migration Study Based on Space-Time Diagrams, Geodyn. Tectonophys., 2015, vol. 6, no. 2, pp. 225–240.
Sherman, S.I. and Gorbunova, E.A., Wave Origin of Fault Activation in the Central Asia on the Basis of Seismic Monitoring, Fiz. Mezomekh., 2008, vol. 11, no. 1, pp. 115122.
Gorbunova, E.A. and Sherman, S.I., Slow Deformation Waves in the Lithosphere: Registration, Parameters, and Geodynamic Analysis (Central Asia), Russ. J. Pac. Geol., 2012, vol. 6, no. 1, pp. 13–20.
Mukhamediev, ShA., Grachev, A.F., and Yunga, S.L., Nonstationary Dynamic Control of Seismic Activities of Platform Regions by Mid-Ocean Ridges, Izv. Phys. Solid Earth, 2008, vol. 44, no. 1, pp. 9–17.
Guberman, Sh.A., On Certain Mechanisms of Earthquake Initiation, Dokl. Akad. Nauk SSSR, 1975, vol. 224, no. 3, pp.573-576.
Zhadin, V.V., Space-and-Time Relationships between Strong Earthquakes, Izv. Phys. Solid Earth, 1984, no. 1, pp. 25–28.
Androsov, I.V., Zhadin, V.V., and Potashnikov, I.A., Space-Time Structure of Earthquake Migration and Seismic Belts, Dokl. Akad. Nauk SSSR, 1989, vol. 306, no. 6, pp. 1339–1342.
Zuev, L.B., Danilov, V.I., and Barannikova, S.A., Physics of Plastic Flow Macrolocalization, Novosibirsk: Nauka, 2008.
Zuev, L.B., On the Wave Character of Plastic Flow. Macroscopic Autowaves of Deformation Localization, Phys. Mesomech., 2006, vol. 9, no. 3–4, pp. 43–50.
Danilov, V.I., Barannikova, S.A., and Zuev, L.B., Localized Strain Autowaves at the Initial Stage of Plastic Flow in Single Crystals, Tech. Phys. Russ. J. Appl. Phys., 2003, vol. 48, no. 11, pp. 1429–1435.
Makarov, P.V. and Romanova, V.A., New Criterion for Plastic Flow by Deformation at Mesoscale, Mat. Model., 2000, vol. 12, no. 11, pp. 91–101.
Makarov, P.V., Romanova, V.A., and Balokhonov, R.R., Numerical Modeling of Heterogeneous Plastic Deformation with Consideration for Generation of Localized Plastic Shears at Interfaces and Free Surfaces, Phys. Mesomech., 2001, vol. 4, no. 5, pp. 29–38.
Peryshkin, A.Yu. and Makarov, P.V., Modeling of Slow Strain Fronts in Strong Media. Their Role in Critical States, Proc. Int. Conf. on Modern Science, Moscow, 2015, Kirov: MCNIP, 2015, pp. 32–40.
Zuev, L.B., Barannikova, S.A., and Nadezhkin, M.V., On Slow Wave Processes in Rocks, Proc. Int. Conf. on Advanced Materials in Construction and Engineering, Tomsk, 2014, pp. 582–589.
Makarov, P.V., Mathematical Theory of Evolution of Loaded Solids and Media, Phys. Mesomech., 2008, vol. 11, no. 5–6, pp. 213–227.
Makarov, P.V., Self-Organized Criticality of Deformation and Prospects for Fracture Prediction, Phys. Mesomech., 2010, vol. 13, no. 5–6, pp. 292–305.
Makarov, P.V. and Eremin, M.O., Jerky Flow Model as a Basis for Research in Deformation Instabilities, Phys. Mesomech., 2014, vol. 17, no. 1, pp. 62–80.
Makarov, P.V., Evolutionary Nature of Destruction of Solids and Media, Phys. Mesomech., 2007, vol. 10, no. 3-4, pp.134–147.
Makarov, P.V., Smolin, I.Yu., Stefanov, Yu.P., et al., Nonlinear Mechanics of Geological Materials and Media, Novosibirsk: Geo, 2007.
Makarov, P.V., Evolutionary Nature of Structure Formation in Lithospheric Material: Universal Principle for Fractality of Solids, Russ. Geol. Geophys. 2007, vol. 48, no. 7, pp. 558–574.
Ruzhich, V.V., Truskov, V.A., Chernykh, E.N., and Smekalkin, O.P., Recent Movements in Near-Baikal Fault Zones and Mechanisms of Their Initiation, Geol. Geofiz., 1999, vol. 40, no. 3, pp. 360–372.
Nevsky, M.V., Morozova, L.A., and Zhurba, M.N., Effect of Propagation of Long-Period Strain Perturbations, Dokl. Akad. Nauk SSSR, 1997, vol. 296, no. 5, pp. 1090–1094.
Nersesov, I.L., Lukk, A.A., Zhuravlev, VI., and Galaganov, O.N., On Strain Wave Propagation in the Crust of South Central Asia, Fiz. Zemli, 1990, no. 5, pp. 102–112.
Lukk, A.A. and Nersesov, I.L., Temporal Variations of Some Parameters of Seismotectonic Processes, Fiz. Zemli, 1982, no. 3, pp. 10–27.
Gamburtseva, N.G., Lyuke, E.I., Nikolaevskii, V.N., et al., Periodic Variations of Seismic Wave Parameters in the Lithosphere on Powerful Explosions, Dokl. Akad. Nauk SSSR, 1982, vol. 266, no. 6, pp. 1349–1353.
Rodionov, V.N., Adushkin, V.V., Kostyuchenko, V.N., et al., Mechanical Effects of an Underground Explosion, Moscow: Nedra, 1971.
Abduvaliev, A.K., Voitov, G.I., and Rudakov, V.P., Radon Precursors of Certain Strong Earthquakes in Central Asia, Dokl. Akad. Nauk, 1986, vol. 291, no. 4, pp. 924–927.
Wilkins, M.L., Calculation of Elastic-Plastic Flow, Methods in Computational Physics, Vol. 3, Alder, B., Fernbach, S., and Rotenberg, M., Eds., New York: Academic Press, 1964, p. 211.
Makarov, P.V. and Eremin, M.O., Fracture Model of Brittle and Quasibrittle Materials and Geomedia, Phys. Mesomech., 2013, vol. 16, no. 3, pp. 207–226.
Garagash, I.A. and Nikolaevskii, V.N., Non-Associated Flow Rules and Plastic Strain Localization, Usp. Mekh., 1989, vol. 12, no. 1, pp. 131–183.
Hill, D.P., Johnston, M.J.S., Langbein, J.O., and Bilham, R., Response of Long Valley Caldera to the M = 7.3 Landers, California, Earthquake, J. Geophys. Res. B, 1995, vol. 100, no. 7, pp. 12985–13005.
Barabanov, V.L., Grinevskii, L.O., Belikov, V.M., and Ishankuliev, G.L., Migration of Crustal Earthquakes, Dynamic Processes in a Geophysical Medium, Moscow: Nauka, 1994, pp. 149–167.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © P.V. Makarov, A.Yu. Peryshkin, 2016, published in Fizicheskaya Mezomekhanika, 2016, Vol. 19, No. 2, pp. 32-46.
Rights and permissions
About this article
Cite this article
Makarov, P.V., Peryshkin, A.Y. Slow motions as inelastic strain autowaves in ductile and brittle media. Phys Mesomech 20, 209–221 (2017). https://doi.org/10.1134/S1029959917020114
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1029959917020114