Skip to main content
SpringerLink
Log in

Three Problems in Aftershock Physics

  • Published:
Journal of Volcanology and Seismology Aims and scope Submit manuscript

Abstract

In recent years three new problems emerged in aftershock physics. We shall refer to these problems in a preliminary way as the dynamic, the inverse, and the morphological problem. They have been distinctly stated, partially solved, and have a fundamental character. The dynamic problem consists in searching for the effect of a circumnavigating seismic echo that occurs after the main shock of an earthquake. According to theory, the convergent seismic surface wave due to a main shock returns to the epicenter about 3 h later and initiates the occurrence of a large aftershock. The results of our study corroborate this theory. The second problem consists in an adequate description of the average evolution of the aftershock process. We introduce a new quantity, a deactivation coefficient for an earthquake source. It describes the “cooling” of the source after the main shock, and we proposed an equation to describe aftershock evolution. We used the evolutionary equation to formulate and solve the inverse problem in earthquake source physics, resulting in an Atlas of Aftershocks, which demonstrates the diversity of ways for the evolution of the deactivation coefficient. The third fundamental problem consists in modeling the spatial and space–time distribution of aftershocks. The solution enhances our understanding of the structure and dynamics of an earthquake source. We also discuss in great detail some other interesting problems in aftershock physics.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.
Fig. 11.
Fig. 12.

Similar content being viewed by others

REFERENCES

  1. Adushkin, V.V., Ryabova, S.A., Spivak, A.A., and Kharlamov, V.A., The response of seismic background motion to geomagnetic variations, Dokl. Akad. Nauk, 2012, vol. 444, no. 3, pp. 304‒308.

    Google Scholar 

  2. Adushkin, V.V. and Turuntaev, S.V., Tektonicheskie protsessy v zemnoi kore (opasnosti i katastrofy) (Tectonic Processes in the Earth’s Crust: Hazards and Disasters), Moscow: INEK, 2005.

  3. Alterman, Z. and Abramovici, F., Effect of the depth of a point source on the motion of the surface of an elastic solid sphere, Geophys. J. Roy. Astron. Soc., 1966, vol. 11, pp. 189–224.

    Article  Google Scholar 

  4. Bak, P., Kak Rabotaet Priroda: Teoriya Samoorganizovannoi Kritichnosti (The Workings of Nature: The Theory of Self-Organized Criticality), Series “Synergetics. From Past to Future”, Moscow: URSS, 2017.

  5. Buchachenko, A.L., Magnetic plasticity and earthquake physics. Can a disaster be averted?, Usp. Fiz. Nauk, 2014, vol. 184, no. 1, pp. 101‒108.

    Article  Google Scholar 

  6. Buchachenko, A.L., Microwave stimulation of dislocations and magnetic control of an earthquake source, Usp. Fiz. Nauk, 2019, vol. 189, no. 1, pp. 47‒54.

    Article  Google Scholar 

  7. Byalko, A.V., A relaxation theory of climate, Usp. Fiz. Nauk, 2012, vol. 182, no. 1, pp. 111‒116.

    Article  Google Scholar 

  8. Davison, Ch., Fusakichi Omori and his work on earthquakes, Bull. of the Seismic Society of America, December 01, 1924, vol. 14, pp. 240–255.

    Google Scholar 

  9. Davison, Ch., The Founders of Seismology, Cambridge University Press, 1930.

    Google Scholar 

  10. Faraoni, V., Lagrangian formulation of Omori’s law and analogy with the cosmic Big Rip, The European Physical Journal C, 2020, vol. 80, p. 445.

    Article  Google Scholar 

  11. Fisher, R.A., The wave of advance of advantageous genes, Annals of Eugenics, 1937, vol. 7, no. 4, pp. 355–369.

    Article  Google Scholar 

  12. Guglielmi, A.V., On the cumulative effect of convergent seismic waves, Fizika Zemli, 2015a, no. 6, pp. 122–126.

  13. Guglielmi, A.V., On self-excited oscillations of the Earth, Fizika Zemli, 2015b, no. 6, pp. 127‒130.

  14. Guglielmi, A.V., An interpretation of the Omori law, Cornell University Library: arXiv:1604.07017 [physics.geo-ph]. Submitted on 24 Apr. 2016. 5 p.

  15. Guglielmi, A.V., The Omori law (from the history of geophysics), Usp. Fiz. Nauk, 2017, vol. 187, no. 3, pp. 343‒348.

    Article  Google Scholar 

  16. Guglielmi, A.V. and Klain, B.I., The solar influence on terrestrial seismicity, Solnechno-Zemnaya Fizika, 2020, vol. 6, no. 1, pp. 111‒115.

    Article  Google Scholar 

  17. Guglielmi, A.V. and Zavyalov, A.D., The Omori law: The 150-year birthday jubilee of Fusakichi Omori, J. Volcanol. Seismol., 2018a, vol. 12, no. 5, pp. 353–358.

    Article  Google Scholar 

  18. Guglielmi, A.V. and Zavyalov, A.D., The 150th anniversary of Fusakichi Omori (1868–1923), IASPEI Newsletter, 2018b, pp. 5–6. http://ftp.iaspei.org/pub/newsletters/2018/2018-September.pdf.

    Google Scholar 

  19. Guglielmi, A.V. and Zotov, O.D., Synchronicity in the dynamic magnetosphere–technosphere–lithosphere system, Fizika Zemli, 2012a, no. 6, pp. 23‒33.

  20. Guglielmi, A. and Zotov, O., Impact of the Earth’s oscillations on the earthquakes, Cornell University Library: arXiv:1207.0365v1 [physics.geo-ph]. Submitted on 2 July 2012b. 13 p.

  21. Guglielmi, A.V and Zotov, O.D., On a hidden periodicity of earthquakes around the 1-h period, Fizika Zemli, 2013, no. 1, pp. 3–10.

  22. Guglielmi, A.V., Zotov, O.D., and Zavyalov, A.D., The behavior of aftershocks following the Sumatra–Andaman earthquake, Fizika Zemli, 2014a, no. 1, pp. 66–74.

  23. Guglielmi, A.V., Sobisevich, L.E., Sobisevich, A.L., and Lavrov, I.P., On foreshocks of large earthquakes, Fizika Zemli, 2014b, no. 4, pp. 43–49.

  24. Guglielmi, A.V., Zavyalov, A.D., and Zotov, O.D., A project for an Atlas of Aftershocks following large earthquakes, J. Volcanol. Seismol., 2019, no. 6, pp. 415–419.

  25. Guglielmi, A.V., Zotov, O.D., and Zavyalov, A.D., Atlas of aftershock sequences of strong earthquakes, Springer Nature Switzerland AG 2020, Yanovskaya, T.B. et al., Eds., Problems of Geocosmos–2018, Springer Proceedings in Earth and Environmental Sciences, 2020, pp. 193‒198.

  26. Hirano, R., Investigation of aftershocks of the great Kanto earthquake at Kumagaya, Kishoshushi, Ser. 2, 1924, vol. 2, pp. 77–83.

    Google Scholar 

  27. Iio, Y., Micro-fracture induced by an explosion, Zisin (J. Seismological Society Japan), Ser. 2, 1984, vol. 37, pp. 109–118.

  28. Kasahara, K., Earthquake Mechanics, Cambridge University Press, 1981.

    Google Scholar 

  29. Kolmogorov, A.N., Petrovsky, I.G., and Piskunov, N.S., A study of the diffusion equatio related to increase of material, and its application to a biological problem, Byull. MGU, Ser. A, Matematika i Mekhanika, 1937, no. 1(6), pp. 1‒26.

  30. Makarov, P.V., Self-organized criticality of deformation and applications to failure prediction, Fiz. Mezomekhanika, 2010, vol. 13, no. 5, pp. 97‒112.

    Google Scholar 

  31. Narteau, C., Shebalin, P., and Holschneider, M., Temporal limits of the power law aftershock decay rate, J. Geophys. Res., 2002, vol. 107, no. B12, pp. 12-1–12-14.

  32. Narteau, C., Shebalin, P., Hainzl, S., Zöller, G., and Holschneider, M., Emergence of a band limited power law in the aftershock decay rate of a sliderblock model, Geophys. Res. Lett., 2003, vol. 30, no. 11, pp. 22-1–22-4.

  33. Ogata, Y., Statistical models for standard seismicity and detection of anomalies by residual analysis, Tectonophysics, 1989, vol. 169, pp. 159‒174.

    Article  Google Scholar 

  34. Ogata, Y., Seismicity analysis through point-process modeling; a review, PAGEOPH, 1999, vol. 155, pp. 471–508.

    Article  Google Scholar 

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

    Google Scholar 

  36. Riznichenko, Yu.V., The source dimensions of the crustal earthquakes and the seismic moment, in Issledovaniya po fizike zemletryasenii (Studies in Earthquake Physics), Moscow: Nauka, 1976, pp. 9–16.

  37. Rogozhin, E.A., The tectonics of source zones of large earthquakes in North Eurasia during the end of the 20th century, Ross. Zhurn. Nauk o Zemle, 2000, vol. 2, no. 1, pp. 37–62.

  38. Ryall, A. and Savage, W.U., A comparison of seismological effects for the Nevada underground test BOXCAR with natural earthquakes in the Nevada region, J. Geophys. Res., 1969, vol. 74, pp. 4281–4289.

    Article  Google Scholar 

  39. Shpolsky, E.V., Vvedenie v atomnuyu fiziku (Introduction to Atomic Physics), vol. 1, Moscow: Nauka, 1974.

  40. Simonenko, V.A. and Shishkin, I.N., The accumulation of seismic waves during the formation of kimberlite pipes, Prikl. Mekh. Tekhn. Fiz., 2003, vol. 44, no. 6, pp. 12–24.

    Google Scholar 

  41. Smirnov, V.B., Patterns and Origin of Transient Processes in Seismicity, Dr. Sci. (Phys.–Math.) Dissertation, Moscow University, 2018, 444 pp. https://istina.msu.ru/dissertations/92660767/

    Google Scholar 

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

    Google Scholar 

  43. Utsu, T., Magnitudes of earthquakes and occurrence of their aftershocks, Zisin, Ser. 2, 1957, vol. 10, pp. 35–45.

    Article  Google Scholar 

  44. Utsu, T., Ogata, Y., and Matsu’ura, R.S., The centenary of the Omori formula for a decay law of aftershock activity, J. Phys. Earth, 1995, vol. 43, pp. 1–33.

    Article  Google Scholar 

  45. Wells, D.L. and Coppersmith, K.J., New empirical relationships among magnitude, rupture length rupture width, rupture area, and surface displacement, Bull. Seis. Soc. Am., 1994, vol. 84, no. 4, pp. 974‒1002.

    Google Scholar 

  46. Zavyalov, A.D., The Japanese earthquake of March 11, 2011 and problems in the short-term prediction of large tectonic earthquakes, GeoRisk, 2011, no. 2, pp. 14‒23.

  47. Zavyalov, A.D. and Zotov, O.D., On some peculiar features in the spatial distributions of aftershocks, in 11th All-Russia School–Seminar with international participation Fizicheskie osnovy prognozirovaniya razrusheniya gornykh porod (Physical Principles of Failure Prediction in Rocks), Abstracts of reports, GoI UrO RAN, Perm, Russia, October 14–18, 2019, Moscow: IFZ RAN, 2019, pp. 21–22.

  48. Zotov, O.D. and Guglielmi, A.V., Synchronicity of electromagnetic and seismic events in the dynamic magnetosphere–technosphere–lithosphere system, Solnechno-Zemnaya Fizika, 2010, no. 16, pp. 19‒25.

  49. Zotov, O.D., Zavyalov, A.D., Guglielmi, A.V., and Lavrov, I.P., On a possible effect of round-the-globe seismic surface waves in the dynamics of aftershocks, Fizika Zemli, 2018, no. 1, pp. 187–201.

  50. Zotov, O.D., Zavyalov, A.D., and Klain, B.I., On the spatial-temporal structure of aftershock sequences, in Springer Nature Switzerland AG 2020, Yanovskaya, T.B. et al., Eds., Problems of Geocosmos–2018, Springer Proceedings in Earth and Environmental Sciences, 2020, pp. 193‒198.

Download references

ACKNOWLEDGMENTS

We are deeply indebted to A.L. Buchachenko, B.I. Klain, and A.S. Potapov for numerous fruitful discussions.

Funding

This work was supported by the Russian Foundation for Basic Research, project nos. 18-05-00096 and 19-05-00574, by the Presidium of the Russian Academy of Sciences, Program 12, and by state assignments at the Institute of Physics of the Earth, Russian Academy of Sciences.

Author information

Authors and Affiliations

  1. Institute of Physics of the Earth, Russian Academy of Sciences, B. Gruzinskaya, 10, str. 1, 123242, Moscow, Russia

    A. D. Zavyalov, A. V. Guglielmi & O. D. Zotov

Authors
  1. A. D. Zavyalov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. V. Guglielmi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. O. D. Zotov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. D. Zavyalov.

Additional information

Translated by A. Petrosyan

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zavyalov, A.D., Guglielmi, A.V. & Zotov, O.D. Three Problems in Aftershock Physics. J. Volcanolog. Seismol. 14, 341–352 (2020). https://doi.org/10.1134/S0742046320050073

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0742046320050073

Keywords:

Search

Navigation