Skip to main content
Log in

Dependence of the aftershock flow on the main shock magnitude

  • Published:
Izvestiya, Physics of the Solid Earth Aims and scope Submit manuscript

Abstract

Previously, we predicted and then observed in practice the property of aftershocks which consists in the statistically regular clustering of events in time during the first hours after the main shock. The characteristic quasi-period of clustering is three hours. This property is associated with the cumulative action of the surface waves converging to the epicenter, whereas the quasi-period is mainly determined by the time delay of the round-the-world seismic echo. The quasi-period varies from case to case. In the attempt to find the cause of this variability, we have statistically explored the probable dependence of quasi-period on the magnitude of the main shock. In this paper, we present the corresponding result of analyzing global seismicity from the USGS/NEIC earthquake catalog. We succeeded in finding a significant reduction in the quasiperiod of the strong earthquakes clustering with growth in the magnitude of the main shock. We suggest the interpretation of this regularity from the standpoint of the phenomenological theory of explosive instability. It is noted that the phenomenon of explosive instability is fairly common in the geophysical media. The examples of explosive instability in the radiation belt and magnetospheric tail are presented. The search for the parallels in the evolution of explosive instability in the lithosphere and magnetosphere of the Earth will enrich both the physics of the earthquakes and physics of the magnetospheric pulsations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Adushkin, V.V. and Turuntaev, S.B., Tekhnogennye protsessy v zemnoi kore (opasnosti i katastrofy) (Anthropogenic Processes in the Earth’s Crust: Hazards and Catastrophes), Moscow: INEK, 2005.

    Google Scholar 

  • Bath, M., Lateral inhomogeneities of the upper mantle, Tectonophysics, 1965, vol. 2, pp. 483–514.

    Article  Google Scholar 

  • Bolt, B., Earthquakes: A Primer, San Francisco: Freeman, 1978.

    Google Scholar 

  • Buchachenko, A.L., Magnetoplasticity and the physics of earthquakes. Can a catastrophe be prevented? Phys.-Usp., 2014, vol. 57, no. 1, pp. 92–98.

    Article  Google Scholar 

  • Gufel’d, I.L. and Novoselov, O.N., Seismicheskii protsess v zone subduktsii (Seismic Process in Subduction Zone), Moscow: MGUL, 2014.

    Google Scholar 

  • Guglielmi, A.V. and Zotov, O.D., On the near-hourly hidden periodicity of earthquakes, Izv., Phys. Solid Earth, 2013, vol. 49, no. 1, pp. 1–8.

    Article  Google Scholar 

  • Guglielmi, A.V. and Potapov, A.S., On permanent and sporadic oscillations of the magnetosphere, Cornell Univ. Libr. arXiv: arXiv:1408.2916 [physics.space-ph]. 13 Aug 2014.

    Google Scholar 

  • Guglielmi, A.V., Zotov, O.D., and Zavyalov, A.D., The aftershock dynamics of the Sumatra-Andaman earthquake, Izv., Phys. Solid Earth, 2014, vol. 50, no. 1, pp. 64–72.

    Article  Google Scholar 

  • Guglielmi, A.V., Foreshocks and aftershocks of strong earthquakes in the light of catastrophe theory, Phys.-Usp., 2015a, vol. 58, no. 4, pp. 384–397.

    Article  Google Scholar 

  • Guglielmi, A.V., On self-excited oscillations of the Earth, Izv., Phys. Solid Earth, 2015b, vol. 51, no. 6, pp. 920–923.

    Article  Google Scholar 

  • Guglielmi, A.V., Three unsolved problems in physics of Pc1 magnetospheric waves, Geofiz. Issled., 2015c, vol. 16, no. 3, pp. 63–72.

    Google Scholar 

  • Guglielmi, A., Lavrov, I., Sobisevich, A., Zavyalov, A., and Zotov, O., On the foreshocks of strong earthquakes, 26th IUGG General Assembly, Prague, Czech Republic, June 22–July 2, 2015, poster presentation.

    Google Scholar 

  • Kasahara, K., Earthquake Mechanics, Cambridge: Cambridge Univ. Press, 1981.

    Google Scholar 

  • Kuksenko, V.S., Makhmudov, Kh.F., Manzhikov, V.A., Sultonov, U., and Rustamova, M.Z., Change in structure of natural heterogeneous materials under the deformation, J. Min. Sci., 2009, vol. 45, no. 4, pp. 355–358.

    Article  Google Scholar 

  • Kuksenko, V.S., Makhmudov, Kh.F., and Manzhikov, B.Ts., Damage accumulation model for solids and the catastrophy prediction for large-scale objects, J. Min. Sci., 2010, vol. 46, no. 4, pp. 384–393.

    Article  Google Scholar 

  • Lutikov, A.I. and Rodina, S.N., Temporal and power parameters of aftershock process of the Kuriles-Kamchatka earthquakes, Geofiz. Issled., 2013, vol. 14, no. 4, pp. 23–45.

    Google Scholar 

  • Lyusina, A.V. and Smirnov, V.B., Time grouping of the aftershock sequences by the example of the Koalinga (May 2, 1983) and Idaho (October 28, 1983) earthquakes, Izv. Akad. Nauk SSSR, Fiz. Zemli, 1993, no. 8, pp. 9–14.

    Google Scholar 

  • Makhmudov, Kh.F., Menzhulin, M.G., Zakharyan, M.V., Sultonov, U., and Abdurakhmanov, Z.M., Diagnostics of the loss of stability of loaded constructions and the development of the sites of breakdown during the action of seismic explosion and air shock waves, J. Tech. Phys., 2015, vol. 60, no. 11, pp. 1651–1657.

    Article  Google Scholar 

  • Mikhailov, A.S. and Uporov, I.V., Critical phenomena in media with breeding, decay, and diffusion, Phys.-Usp., 1984, vol. 27, no. 9, pp. 695–714.

    Google Scholar 

  • Mogi, K., Earthquake Prediction, Tokyo: Academic Press, 1985.

    Google Scholar 

  • Nishida, A., Geomagnetic Diagnosis of the Magnetosphere, New York: Springer, 1978.

    Book  Google Scholar 

  • Omori, F., On the aftershocks of earthquake, J. Coll. Sci. Imp. Univ. Tokyo, 1894, vol. 7, pp. 111–200.

    Google Scholar 

  • Reid, H.F., The elastic-rebound theory of earthquakes, Bull. Dep. Geol. Univ. Calif. 1911, vol. 6, no. 19, pp. 413–444.

    Google Scholar 

  • Smirnov, V.B. and Ponomarev, A.V., Seismic regime relaxation properties from in situ and laboratory data, Izv., Phys. Solid Earth, 2004, vol. 40, no. 10, pp. 807–816.

    Google Scholar 

  • Sobolev, G.A., Osnovy prognoza zemletryasenii (Introduction to the Prediction of Earthquakes), Moscow: Nauka, 1993.

    Google Scholar 

  • Sobolev, G.A. and Ponomarev, A.V., Fizika zemletryasenii i predvestniki (Physics of the Earthquakes and Precursors), Moscow: Nauka, 2003.

    Google Scholar 

  • Tarasov, B., Superbrittle failure regime of rocks at conventional triaxial compression, in True Triaxial Testing of Rocks, Geomechanics Research Series, vol. 4, Leiden, the Netherlands: Taylor and Francis, 2013, pp. 343–350.

    Google Scholar 

  • Utsu, T., A statistical study on the occurrence of aftershocks, Geophys. Mag., 1961, vol. 30, pp. 521–605.

    Google Scholar 

  • Vinogradova, M.B., Rudenko, O.V., and Sukhorukov, A.P., Teoriya voln (Theory of Waves), Moscow: Nauka, 1979.

    Google Scholar 

  • Weimer, S. and Katsumata K., Seismicity parameters in aftershock zones, J. Geophys. Res., 1999, vol. 104, no. B6, pp. 13135–13151.

    Article  Google Scholar 

  • Zavyalov, A.D., From the kinetic theory of strength and fracture concentration criterion to the seismogenic fracture density and earthquake forecasting, Phys. Solid State, 2005a, vol. 47, no. 6, pp. 1034–1041.

    Article  Google Scholar 

  • Zavyalov, A.D., The earthquake offshore Sumatra, Priroda (Moscow, Russ. Fed.), 2005b, no. 5, pp. 29–35.

    Google Scholar 

  • Zavyalov, A.D., Guglielmi, A.V., and Zotov, O.D., The aftershocks of the strong earthquakes: new properties, 10-ya mezhdunarodnaya seismologicheskaya shkola “Sovremennye metody obrabotki i interpretatsii seismologicheskikh dannykh” (The 10th Int. Seismological School Modern Methods for Processing and Interpretation of Seismological Data), Azerbaijan, Sept. 14-18, 2015, Obninsk, 2015a, p. 378.

    Google Scholar 

  • Zavyalov, A.D., Zotov, O.D., and Guglielmi, A.V., On new properties of aftershock’s flow of the strong earthquake, 26th IUGG General Assembly, Prague, Czech Republic, June 22–July 2, 2015b.

    Google Scholar 

  • Zavyalov, A.D., Zotov, O.D., and Guglielmi, A.V., On the new properties of the aftershock flow from strong earthquakes, 3-ya nauchnaya konferentsiya “Triggernye effekty v geosistemakh,” tezisy dokladov (Abstr. 3rd Conf. “Triggered Effects in Geosystems”), Moscow, June 16-19, 2015, Moscow: IDG RAN, 2015c, pp. 33–34.

    Google Scholar 

  • Zavyalov A.D., Zotov O.D., Guglielmi A.V. On new properties of aftershock’s flow of the strong earthquakes, Extended Abstracts 2nd Int. Workshop on Tethyan Orogenesis and Metallogeny in Asia (IWTOMA) and Silk Road Higher Education Cooperation Forum, Wuhan, China, October 16–21, 2015, Ma, Changqian, Robinson, P.T., Mason, R., and He, Yunlong, Eds., 2016, pp. 185–186.

    Google Scholar 

  • Zhurkov, S.N., Kinetic concept of the strength of solids, Int. J. Fracture Mech., 1965, vol. 1, no. 4, pp. 311–323.

    Google Scholar 

  • Zhurkov, S.N., Kinetic concept of the strength of solids, Vestn. Akad. Nauk SSSR, 1968, no. 3, pp. 46–52.

    Google Scholar 

  • Zotov, O.D. and Guglielmi, A.V., Problems of synchronism of electromagnetic and seismic events in the Magnetosphere–Technosphere–Lithosphere dynamic system, Sol.-Zem. Fiz., 2010, no. 16, pp. 19–25.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. V. Guglielmi.

Additional information

Original Russian Text © A.V. Guglielmi, A.D. Zavyalov, O.D. Zotov, I.P. Lavrov, 2017, published in Fizika Zemli, 2017, No. 1, pp. 12–19.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Guglielmi, A.V., Zavyalov, A.D., Zotov, O.D. et al. Dependence of the aftershock flow on the main shock magnitude. Izv., Phys. Solid Earth 53, 10–17 (2017). https://doi.org/10.1134/S1069351317010086

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1069351317010086

Keywords

Navigation