Skip to main content
Log in

Synchronization trends and rhythms of multifractal parameters of the field of low-frequency microseisms

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

Abstract

The field of low-frequency microseisms is investigated with the use of data from 83 stations of the F-net broadband network in Japan over the period from the beginning of 1997 through June 2008. Vertical components with a sampling step of 1 s are used for analysis, as well as signals with a sampling step of 1 min obtained from the initial data by averaging and thinning. Long-period regularities of changes in the singularity spectrum support width Δα and the generalized Hurst exponent α* for the field of low-frequency microseisms were revealed by estimating multifractal singularity spectra in consecutive time windows 30 min long for 1-s data and 24 hour long for 1-min data. The average value of the parameter α* for 1-s data significantly decreased before the Hokkaido earthquake of September 25, 2003 (M = 8.3), and was not restored subsequently to its previous level. Prior to September 2003, 1-min data on α* variations experienced strong annual changes, which completely ceased afterwards. Both these effects are interpreted as an increase in the degree of synchronization of microseismic noise on Japan’s islands after the September 25, 2003, earthquake. This hypothesis is also supported by estimates of the measures of correlation and spectral coherence between variations in the average values of Δα and α* calculated for 1-min data inside five spatial clusters of stations from consecutive time fragments two months long. Based on the well-known statement of the theory of catastrophes that synchronization is one of the flags of an approaching catastrophe, it was suggested that the Hokkaido event could be a foreshock of an even stronger earthquake nucleating in the region of Japan’s islands.

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

  1. E. M. Lin’kov, Seismic Phenomena (LGU, Leningrad, 1987) [in Russian].

    Google Scholar 

  2. E. M. Lin’kov, L. N. Petrova, and K. S. Osipov, “Seismogravitational Pulsations of the Earth and Disturbances of the Atmosphere as Possible Precursors of Strong Earthquakes,” Dokl. Akad. Nauk SSSR 313(5), 1095–1098 (1990).

    Google Scholar 

  3. A. A. Lyubushin, “Analysis of Canonical Coherences in the Problem of Geophysical Monitoring,” Fiz. Zemli, No. 1, 59–66 (1998) [Izvestiya, Phys. Solid Earth 34, 52–58 (1998)].

  4. A. A. Lyubushin, “Outbursts and Scenariosof Synchronization in Geophysical Observations,” in Sketches of Geophysical Investigations. To the 75th Anniversary of the Schmidt United Institute of Physics of the Earth (OIFZ RAN, Moscow, 2003) pp. 130–134 [in Russian].

    Google Scholar 

  5. A. A. Lyubushin and G. A. Sobolev, “Multifractal Measures of Synchronization of Microseismic Oscillations in a Minute Range of Periods,” Fiz. Zemli, No. 9, 18–28 (2006) [Izvestiya, Phys. Solid Earth 42, 734–744 (2006)].

  6. A. A. Lyubushin, Analysis of Data of Geophysical and Ecological Monitoring (Nauka, Moscow, 2007) [in Russian].

    Google Scholar 

  7. A. A. Lyubushin, “Microseismic Noise in a Minute Range of Periods: Properties and Possible Prognostic Indicators,” Fiz. Zemli, No. 4, 17–34 (2008) [Izvestiya, Phys. Solid Earth 43 (2008)].

  8. L. N. Petrova, “Seismogravitational Oscillationsof the Earth from Observations by Spaced Vertical Pendulums in Eurasia,” Fiz. Zemli, No. 4, 83–95 (2002) [Izvestiya, Phys. Solid Earth 38, 325–336 (2002)].

  9. L. N. Petrova, E. G. Orlov, and V. V. Karpinskii, “On the Dynamics and Structure of Earth’s Oscillations in December 2004 from Seismic Gravimeter Observations in St. Petersburg,” Fiz. Zemli, No. 2, 12–20 (2007) [Izvestiya, Phys. Solid Earth 43, 111–118 (2007)].

  10. G. A. Sobolev, “Microseismic Variations Prior to a Strong Earthquake,” Fiz. Zemli, No. 6, 3–13 (2004) [Izvestiya, Phys. Solid Earth 40, 455–464 (2004)].

  11. G. A. Sobolev, A. A. Lyubushin, and N. A. Zakrzhevskaya, “Synchronization of Microseismic Variations within a minute Range of Periods,” Fiz. Zemli, No. 8, 3–27 (2005) [Izvestiya, Phys. Solid Earth 42, 599–621 (2005)].

  12. G. A. Sobolev and A. A. Lyubushin, “Microseismic Impulses As Earthquake Precursors,” Fiz. Zemli, No. 9, 5–17 (2006) [Izvestiya, Phys. Solid Earth 42, 721–733 (2006)].

  13. G. A. Sobolev and A. A. Lyubushin, “Microseismic Anomalies before the Sumatra Earthquake of December 26, 2004,” Fiz. Zemli, No. 5, 3–16 (2007) [Izvestiya, Phys. Solid Earth 43, 341–353 (2007)].

  14. G. A. Sobolev, A. A. Lyubushin, and N. A. Zakrzhevskaya, “Asymmetric Impulses, Periodicities and Synchronization of Low-Frequency Microseisms,” Vulkanol. Seismol., No. 2, 135–152 (2008).

  15. G. A. Sobolev, “Series of Asymmetric Impulses in a Minute Range of Microseisms As Indicators of a Metastable State of Seismically Active Zones,” Fiz. Zemli, No. 4, 3–16 (2008) [Izvestiya, Phys. Solid Earth (2008)].

  16. G. Currenti, C. del Negro, V. Lapenna, and L. Telesca, “Microfractality in Local Geodynamic Fields at Etna Volcano, Sisily (Southern Italy),” Natural Hazards and Earth System Sciences 5, 555–559 (2005).

    Google Scholar 

  17. R. O. Duda and P. E. Hart, Pattern Classification and Scene Analysis (John Wiley and Sons, New York, London, Sydney, 1973; Mir, Moscow, 1976).

    Google Scholar 

  18. G. Ekstrom, “Time Domain Analysis of Earth’s Long-Period Seismic Radiation,” J. Geophys. res. 106,N B11, 26483–26493 (2001).

    Article  Google Scholar 

  19. J. Feder, Fractals (Plenum Press, New York, 1988; Mir, Moscow, 1991).

    Google Scholar 

  20. A. Friederich, F. Krüder, and K. Klinge, “Ocean-Generated Microseismic Noise Located with the Gräfenberg Array,” Journal of Seismology 2, No. 1, 47–64 (1998).

    Article  Google Scholar 

  21. R. Gilmore, Catastrophe Theory for Scientists and Engineers (John Wiley and Sons, New York, 1981; Mir, Moscow, 1984).

    Google Scholar 

  22. W. Hardle, Applied Nonparametric Regression (Cambridge Univ. Press, Cambridge, New York, New Rochell, Melbourne, Sydney, 1989; Mir, Moscow, 1993).

    Google Scholar 

  23. H. Hotelling, “Relations between Two Sets of Variates,” Biometrika 28, 321–377 (1936).

    Google Scholar 

  24. Y. Ida, M. Hayakawa, A. Adalev, and K. Gotoh, “Multifractal Analysis for the ULF Geomagnetic Data during the 1993 Guam Earthquake,” Nonlinear Processes in Geophysics 12, 157–162 (2005).

    Google Scholar 

  25. J. W. Kantelhardt, S. A. Zschiegner, E. Konsciently-Bunde, et al., ”Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series,” Physica A 316, 87–114 (2002).

    Article  Google Scholar 

  26. N. Kobayashi and K. Nishida, “Continuous Excitation of Planetary Free Oscillations by Atmospheric Disturbances,” Nature 395, 357–360 (1998).

    Article  Google Scholar 

  27. D. Kurrle and R. Widmer-Schnidrig, “Spatiotemporal Features of the Earth’s Background Oscillations Observed in Central Europe,” Geophys. Res. Lett. 33, L24304 (2006).

    Google Scholar 

  28. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman and Co., New York, 1982; Institute of Computer Investigations, Moscow, 2002).

    Google Scholar 

  29. S. L. Marple (Jr.), Digital Spectral Analysis with Applications (Prentice-Hall, Englewood Cliffs, New Jersey, 1987; Mir, Moscow, 1990).

    Google Scholar 

  30. A. N. Pavlov, O. V. Sosnovtseva, and E. Mosekilde, “Scaling Features of Multimode Motions in Coupled Chaotic Oscillators,” Chaos, Solitons and Fractals 16, 801–810 (2003).

    Article  Google Scholar 

  31. C. R. Rao, Linear Statistical Inference and Its Applications (John Wiley and Sons, New York, London, Sydney, 1965; Nauka, Moscow, 1968).

    Google Scholar 

  32. A. Ramirez-Rojas, A. Muño-Diosdado, C. G. Pavia-Miller, and F. Angulo-Brown, “Spectral an Multifractal Study of Electroseismic Time Series Associated to the Mw = 6.5 Earthquake of 24 October 1993 in Mexico,” Natural Hazards and Earth System Sciences 4 703–709 (2004).

    Google Scholar 

  33. J. Rhie and B. Romanowicz, “Excitation Earth’s Continuous Free Oscillations by Atmosphere-Ocean-Seafloor Coupling,” Nature 431, 552–554 (2004).

    Article  Google Scholar 

  34. J. Rhie and B. Romanowicz, “A Study of the Relation between Ocean Storms and the Earth’s hum-G3: Geochemistry, Geophysics, Geosystems,” Electronic “Earth Sciences” 7(10.7) (2006); http://www.agu.org/journals/gc/.

  35. L. Stehly, M. Campillo, and N. M. Shapiro, “A Study of the Seismic Noise from Its Long-Range Correlation Properties,” J. Geophys. Res. 11, B10306 (2006).

    Google Scholar 

  36. T. Tanimoto, J. Um, K. Nishida, and K. Kobayashi, “Earth’s Continuous Oscillations Observed on Seismically Quiet Days,” Geophys. Res. Lett. 25, 1553–1556 (1998).

    Article  Google Scholar 

  37. T. Tanimoto and J. Um, “Cause of Continuous Oscillations of the Earth,” J. Geophys. Res. 104(28), 723–739 (1999).

    Google Scholar 

  38. T. Tanimoto, “Continuous Free Oscillations: Atmosphere-Solid Earth Coupling-Annu. Rev.,” Earth Planet. Sci. 29, 563–584 (2001).

    Article  Google Scholar 

  39. T. Tanimoto, “The Oceanic Excitation Hypothesis for the Continuous Oscillations of the Earth,” Geophys. J. Int. 160, 276–288 (2005).

    Article  Google Scholar 

  40. L. Telesca, L. Colangelo, and V. Lapenna, “Multifractal Variability in Geoelectrical Signals and Correlations with Seismicity: a Study Case in Southern Italy,” Natural Hazards and Earth System Sciences 5, 673–677 (2005).

    Article  Google Scholar 

  41. M. S. Taqqu, “Self-Similar Processes,” in Encyclopedia of Statistical Sciences, Vol. 8, pp. 352–357 (John Wiley and Sons, New York, 1988).

    Google Scholar 

  42. A. R. Ziganshin and A. N. Pavlov, “Scaling Properties of Multimode Dynamics in Coupled Chaotic Oscillators—Physics and Control,” in Proceedings. 2005 International Conference, pp. 180–183 (2005) [in Russian].

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © A.A. Lyubushin, 2009, published in Fizika Zemli, 2009, No. 5, pp. 15–28.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lyubushin, A.A. Synchronization trends and rhythms of multifractal parameters of the field of low-frequency microseisms. Izv., Phys. Solid Earth 45, 381–394 (2009). https://doi.org/10.1134/S1069351309050024

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1069351309050024

PACS numbers

Navigation