Abstract
A new autosoliton view is developed for the seismic process. In physical terms, faults correspond to stationary autosolitons, and inter- and intrafault deformation disturbances are traveling autosolitons. Slow dynamics reveals itself only on large time scales because slow autosoliton disturbances, as a rule, have velocities 4–7 orders of magnitude lower than the sound velocity. It is shown that, in the loaded strong medium, slow autowave and autosoliton disturbances are generated by short dynamic actions (pulses) at interfaces. In real geomaterials, these are block boundaries and various-scale faults. Dynamic movements of structural elements cause the deformation autowaves and autosolitons to propagate from the interfaces into blocks and along faults. Velocities of such deformation autowaves and autosolitons are low and proportional to velocities of the related movements of structural elements in the geomedium. Propagating in structural elements that are in a certain stress-strain state, deformation autowaves and autosolitons can be taken as small disturbances of the existing fields of the stress-strain state. A mathematical model is represented for the geomaterial treated as a nonequilibrium randomly inhomogeneous medium. Special features of the generation and propagation of deformation autosolitons in such media are studied.
Similar content being viewed by others
Change history
31 August 2021
Corrected issue title
REFERENCES
Guberman, Sh.A., On Some Regularities of the Occurrence of Earthquakes, Dokl. AN SSSR, 1975, vol. 224, no. 3, pp. 573–576.
Guberman, Sh.A., D Waves and Earthquakes, Comput. Seism. Geodyn., 1980, no. 12, p. 136.
Zhadin, V.V., Spatiotemporal Connections of Strong Earthquakes, Fiz. Zemli, 1984, no. 1, pp. 34–38.
Mukhamediev, Sh.A., Grachev, A.F., and Yunga, S.L., Nonstationary Dynamic Control of Seismic Activity of Platform Regions by Mid-Ocean Ridges, Izv. Phys. Solid Earth, 2008, vol. 44, no. 1, pp. 9–17.
Trofimenko, S.V. and Grib, N.N., Dynamics of Geophysical Medium Parameters in the Zones of Active Faults in South Yakutia, in Modern Geodynamics of Central Asia and Hazardous Natural Processes: Results of Studies on Quantitatries, 19–23.09.2016, Irkutsk, Irkutsk: IEC SB RAS, 2016, pp. 294–296.
Richter, C.F., Elementary Seismology, San Francisco: W.H. Freeman and Co., 1958.
Allen, C.R., Active Faulting in Northern Turkey, Contribution No. 1577, Pasadena: Division of Geological Sciences of California Institute of Technology, 1969, pp. 32–34.
Klyuchevskii, A.V., Dembrel, S., Demyanovich, V.M., and Bayaraa, G., Diagnostics of the Stress State of the Lithosphere in Mongolia Based on Seismic Source Data, Dokl. Earth Sci., 2017, vol. 473, no. 2, pp. 433–437.
Ruzhich, V.V. and Levina, E.A., Seismomigrational Processes as the Reflection of Internal Dynamics in Zones of Intraplate and Interpolate Faults, in Recent Geodynamics of Central Asia and Hazardous Natural Processes: Results of Quantitive Studies. Proceedings of the All-Russia Meeting and Youth School on Recent Geodynamics, 23–29.09.2012, Irkutsk, Irkutsk: IEC SB RAS, 2012, vol. 2, pp. 71–74.
Sherman, S.I., Deformation Waves as a Trigger Mechanism of Seismic Activity in Seismic Zones of the Continental Lithosphere, Geodyn. Tectonophys., vol. 4, no. 2, pp. 83–117.
Goldin, S.V., Yushin, V.I., Ruzhich, V.V., and Smekalkin, O.P., Slow Movements—Myth or Reality?, in Physical Fundamentals of Rock Destruction Prediction: Proc. of the 9th Int. Workshop, Krasnoyarsk, 2002, pp. 213–220.
Bykov, V.G., Deformation Waves of the Earth: Concept, Observations, and Models, Geolog. Geofiz., 2005, vol. 46, no. 11, pp. 1176–1190.
Bykov, V.G., Prediction and Observation of Strain Waves in the Earth, Geodyn. Tectonophys., 2018, vol. 9, no. 3, pp. 721–754. https://doi.org/10.5800/GT-2018-9-3-0369
Kuzmin, Yu.O., Recent Geodynamics of Fault Zones, Izv. Phys. Solid Earth, 2004, vol. 40, no. 10. pp. 868–882.
Kuzmin, Yu.O., Tectonophysics and Recent Geodynamics, Izv. Phys. Solid Earth, 2009, vol. 45, no. 11, pp. 973–986.
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 Fault Zones: Faulting in Real Time Scale, Geodyn. Tectonophys., 2014, vol. 5, no. 2, pp. 401–442. https://doi.org/10.5800/GT-2014-5-2-0135
Kuzmin, Yu.O., Recent Geodynamics and Slow Deformation Waves, Izv. Phys. Solid Earth, 2020, vol. 56, no. 4, pp. 595–603.
Bazavluk, T.A. and Yudakhin, F.N., Deformation Waves in the Earth’s Crust of the Tien Shan According to Seismological Data, Dokl. RAN, 1993, vol. 329, no. 5, pp. 565–570.
Trofimenko, S.V., Bykov, V.G., and Grib, N.N., Slow Deformation Waves in the Seismic Regime and Geophysical Fields at the Northern Margin of the Amur Plate, Geodyn. Tectonophys., 2018, vol. 9, no. 2, pp. 413–426. https://doi.org/10.5800/GT-2018-9-2-0353
Ida, Y., Slow-Moving Deformation Pulses along Tectonic Faults, Phys. Earth Planet. Int., 1974, vol. 9, pp. 328–337.
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.
Bykov, V.G. and Trofimenko, S.V., Slow Strain Waves in Blocky Geological Media From GPS and Seismological Observations on the Amurian Plate, Nonlin. Process. Geophys., 2016, vol. 23, no. 6, pp. 467–475.
Androsov, I.V., Zhadin, V.V., and Potashnikov, I.A., Spatiotemporal Structure of Earthquake Migration and Seismic Belts, Dokl. AN SSSR, 1989, vol. 306, no. 6, pp. 1339–1342.
Kato, A., Obara, K., Igarashi, T., Tsuruoka, H., Nakagawa, S., and Hirata, N., Propagation of Slow Slip Leading up to the 2011 Mw 9.0 Tohoku-Oki Earthquake, Science, 2012, vol. 335, no. 6069, pp. 705–708.
Kocharyan, G.G., Triggering of Natural Disasters and Technogenous Emergencies by Low Amplitude Seismic Waves, Geol. Eng. Geol. Hydrogeol. Geocryol., 2012, vol. 6, pp. 483–496.
Sherman, S.I. and Gorbunova, E.A., Variation and Origin of Fault Activity of the Baikal Rift System and Adjacent Territories in Real Time, Earth Sci. Front., 2008, vol. 15, no. 3, pp. 337–347.
Toksöz, M.N., Shakal, A.F., and Michael, A.J., Space-Time Migration of Earthquakes along the North Anatolian Fault Zone and Seismic Gaps, Pure Appl. Geophys., 1979, vol. 117, no. 6, pp. 1258–1270. https://doi.org/10.1007/BF00876218
Savage, J.C., A Theory of Creep Waves Propаgating along a Transform Fault, J. Geophys. Res., 1971, vol. 76, no. 8, pp. 1954–1966.
Bornyakov, S.A., Salko, D.V., Seminsky, K.Zh., Demberel, S., Ganzorig, D., Batsaihan, T., and Togtohbayar, S., Instrumental Recording of Slow Deformation Waves in the South Baikal Geodynamic Study Site, Dokl. Earth Sci., 2017, vol. 473, no. 1, pp. 371–374. https://doi.org/10.1134/S1028334X17030229
Trofimenko, S.V. and Grib, N.N., Non-Tidal Changes in Gravity in the Zones of Influence of Modern Activated Faults, in Problems of Seismology in the Third Millennium: Proceedings of the International Conference, 15–19.09.2003, Novosibirsk, Novosibirsk: Publishing House SB RAS, 2003, pp. 271–274.
Kerner, B.S. and Osipov, V.V., Autosolitons, Sov. Phys. Usp., 1989, vol. 32, no. 2, pp. 101–138.
Vasiliev, V.A., Romanovskii, Yu.M., and Yakhno, V.G., Autowave Processes in Distributed Kinetic Systems, Sov. Phys. Usp., 1979, vol. 22, no. 8, pp. 615–639.
Masterov, A.V., Tolkov, V.N., and Yakhno, V.G., Nonlinear Waves: Dynamics and Evolution, New York: Springer-Verlag, 1988.
Makarov, P.V. and Peryshkin, A.Yu., Slow Motions as Inelastic Strain Autowaves in Ductile and Brittle Media, Phys. Mesomech., 2017, vol. 20, no. 2, pp. 209–221. https://doi.org/10.1134/S1029959917020114
Makarov, P.V., Khon, Yu.A., and Peryshkin, A.Yu., Slow Deformation Fronts: Model and Features of Distribution, Geodyn. Tectonophys., 2018, vol. 9, no. 3, pp. 755–769. https://doi.org/10.5800/GT-2018-9-3-0370
Bykov, V.G., Nonlinear Waves and Solitons in Models of Fault-Block Geological Media, Russ. Geol. Geophys., 2015, vol. 56, no. 5, pp. 793–803.
Novopashina, А.V. and San’kov, V.А., Velocities of Slow Migration of Seismic Activity in Cis-Baikal Region, Geodyn. Tectonophys., 2010, vol. 1, no. 2, pp. 197–203.
Kasahara, K., Migration of Crustal Deformation, Tectonophysics, 1979, vol. 52, no. 1–4, pp. 329–341.
Makarov, P.V. and Peryshkin, A.Yu., Autosoliton Model of Slow Deformation Processes in Active Media, AIP Conf. Proc., 2019, vol. 2167, p. 020210. https://doi.org/10.1063/1.5132077
Nikolaevskii, V.N., Mathematical Modeling of Solitary Deformation and Seismic Waves, Dokl. RAN, 1995, vol. 341, no. 3, pp. 403–405.
Nikolaevskii, V.N., Elastic and Viscous Models of Tectonic and Seismic Waves in the Lithosphere, Fiz. Zemli, 2008, no. 6, pp. 92–96.
Mikhailov, D.N. and Nikolaevskii, V.N., Tectonic Waves of the Rotational Type Generating Seismic Signals, Izv. Phys. Solid Earth, 2000, vol. 36, no. 11, pp. 895–902.
Gershenzan, N.I., Bykov, V.G., and Bambakidis, G., Strain Waves, Earthquakes, Slow Earthquakes and Afterslip in the Framework of the Frenkel–Kontorova Model, Phys. Rev. E, vol. 79, no. 5, p. 056601.
Bykov, V.G., Sine-Gordon Equation and Its Application to Tectonic Stress Transfer, J. Seismology, 2014, vol. 18, no. 3, pp. 497–510. https://doi.org/10.1007/s10950-014-9422-7
Bykov, V.G., Development of Sliding Regimes in Faults and Slow Strain Waves, Phys. Mesomech., 2020, vol. 23, no. 3, pp. 271–278. https://doi.org/10.1134/S1029959920030121
Makarov, P.V., Smolin, I.Yu., Khon, Yu.A., Eremin, M.O., Bakeev, R.A., Peryshkin, A.Yu., Zimina, V.A., Chirkov, A., Kazakbaeva, A.A., and Akhmetov, A.Zh., Autosoliton View of the Seismic Process. Part 2. Possibility of Generation and Propagation of Slow Deformation Autosoliton Disturbances in Geomedia, Phys. Mesomech., 2021, vol. 24, no. 4, pp. 375–390. https://doi.org/10.1134/S1029959921040044
Kerner, B.S. and Osipov, V.V., Self-Organization in Active Distributed Media: Scenarios for the Spontaneous Formation and Evolution of Dissipative Structures, Sov. Phys. Usp., 1990, vol. 33, no. 9, pp. 679–719.
Cross, M.C. and Hohenberg, P.C., Pattern Formation Outside of Equilibrium, Rev. Mod. Phys., 1993, vol. 65, pp. 854–1112.
Aranson, I.S., The World of the Complex Ginzburg–Landau Equation, Rev. Mod. Phys., 2002, vol. 74, pp. 99–143.
Funding
The work was performed at the financial support of the Russian Science Foundation (Project No. 19-17-00122).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Makarov, P.V., Khon, Y.A. Autosoliton View of the Seismic Process. Part 1. Possibility of Generation and Propagation of Slow Deformation Autosoliton Disturbances in Geomedia. Phys Mesomech 24, 363–374 (2021). https://doi.org/10.1134/S1029959921040032
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1029959921040032