The Investigation of Self-Similar Structure of Seismic Kinetics Before Tohoku Earthquake

  • Chapter
  • First Online:
Processes in GeoMedia—Volume VI

Part of the book series: Springer Geology ((SPRINGERGEOL))

  • 292 Accesses

Abstract

The process of seismic kinetics before Tohoku earthquake (Japan, 2011, M = 9.0) is investigated by the help of the scaling analysis methods. The sequence of time intervals between the subsequent events in focal area (waiting time series) in the range of magnitudes 2.5 \(\le\) M \(\le\) 9.0 for period 1.11.2003–11.03.2011 is used. It is shown that the waiting time series has scale-invariant structure. Self-similar structure of the waiting time series is proposed to consider as the dissipative structure which is induced by strongly nonequilibrium state of seismogenerating system during the period of preparation of Tohoku earthquake. The spectrum of singularities of the multifractal measure modeling a waiting time series is suggested to be viewed as a quantitative characteristic of the earthquake preparation process.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
EUR 29.95
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 160.49
Price includes VAT (Germany)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
EUR 213.99
Price includes VAT (Germany)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info
Hardcover Book
EUR 213.99
Price includes VAT (Germany)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Prigogine, I.: From being to becoming. San Francisco, W.H. Freeman and Co, pp. 200. (1980)

    Google Scholar 

  2. Geilikman, M.B., Golubeva, T.V., Pisarenko, V.F.: Multifractal patterns of seismicity. Earth and Planetary Sci. Lett. 99(1/2), 127–132 (1990)

    Google Scholar 

  3. Stakhovsky, I.R., Belousov, T.P.: Scale invariants in seismotectonics. Dokl. Akad. Nauk. 347(2), 252–255 (1996)

    Google Scholar 

  4. Godano, C., Tosi, P., Derubeis, V., Augliera, P.: Scaling properties of the spatio-temporal distribution of earthquakes: a multifractal approach applied to a Californian catalogue. Geophys. J. Int. 136(1), 99–108 (1999)

    Article  Google Scholar 

  5. Stakhovsky, I.R.: Widening of the f(a)-spectra of seismic fields in preparation zones of strong earthquakes. Izvestiya. Phys. Solid Earth. 38(2), 156–160 (2002)

    Google Scholar 

  6. Suzuki, W., Aoi, S., Sekiguchi, H., Kunugi, T.: Rupture process of the 2011 Tohoku‐Oki mega‐thrust earthquake (M9.0) inverted from strong‐motion data. Geophys. Res. Lett. 38, L00G16 (2011).https://doi.org/10.1029/2011GL049136

  7. Enescu, B., Aoi, S., Toda, S., Suzuki, W., Obara, K., Shiomi, K., Takeda T. Stress perturbations and seismic response associated with the 2011 M9.0 Tohoku-Oki earthquake in and around the Tokai seismic gap, central Japan. Geophys. Res. Lett. 39, L00G28 (2012).https://doi.org/10.1029/2012GL051839

  8. NIED K-NET, KiK-net, National Research Institute for Earth Science and Disaster Resilience. https://doi.org/10.17598/NIED.0004. https://www.kyoshin.bosai.go.jp/

  9. Lindman, M., Jonsdottir, K., Roberts, R.: Earthquakes descaled: on waiting time distributions and scaling laws. Phys. Rev. Lett. V 94, 108501 (2005). https://doi.org/10.1103/PhysRevLett.94.108501

  10. Telesca, L., Lapenna, V., Macchiato, M.: Multifractal fluctuations in seismic interspike series. Physica A V. 354, 629−640 (2005).https://doi.org/10.1016/j.physa.2005.02.053

  11. Jonsdottir, K., Lindman, M., Roberts, R., Lund, B., Bödvarsson, R.: Modelling fundamental waiting time distributions for earthquake sequences. Tectonophysics 424(3−4), 195−208 (2006).https://doi.org/10.1016/j.tecto.2006.03.036

  12. Mandelbrot, B.: Multifractal measures, especially for geophysicist. PAGEOPH 131, 5–42 (1989)

    Google Scholar 

  13. Gardner, J.K., Knopoff, L.: Is the sequence of earthquakes in Southern California, with aftershocks removed, Poissonian? Bull. Seismol. Soc. Am. 64, 1363–1367 (1974)

    Article  Google Scholar 

  14. Konstantinou, K.I., Lin, C.H.: Nonlinear time series analysis of volcanic tremor events recorded at Sangay Volcano, Ecuador. PAGEOPH. 161, 145–163 (2004). https://doi.org/10.1007/s00024-003-2432-y

  15. Stakhovsky, I.R.: Attractor reconstruction from the time series of information entropy of seismic kinetics process. Izvestiya. Phys. of the Solid Earth 52(5), 740–753 (2016). https://doi.org/10.1134/S1069351316040091

    Article  Google Scholar 

  16. Stakhovsky, I.R.: Scale-invariant structure of the seismic kinetics in strongly nonequilibrium medium. J. Experim. Theoret. Phys. Lett. (JETP Letters) V. 112(12), 793–798 (2020). https://doi.org/10.1134/S002136402024008X

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. R. Stakhovsky .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Stakhovsky, I.R. (2023). The Investigation of Self-Similar Structure of Seismic Kinetics Before Tohoku Earthquake. In: Chaplina, T. (eds) Processes in GeoMedia—Volume VI. Springer Geology. Springer, Cham. https://doi.org/10.1007/978-3-031-16575-7_51

Download citation

Publish with us

Policies and ethics

Navigation