Skip to main content

Multifractal Parameters of Low-Frequency Microseisms

  • Chapter
  • First Online:

Part of the book series: Geoplanet: Earth and Planetary Sciences ((GEPS))

Abstract

Low-frequency microseismic oscillations serve as an important source of information about processes proceeding in the crust, in spite of the fact that the main energy of these oscillations is caused by processes proceeding in the atmosphere and ocean, such as variations in the atmospheric pressure and the action of oceanic waves on the coast and shelf.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  • Currenti G., 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).

    Article  Google Scholar 

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

    Google Scholar 

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

    Article  Google Scholar 

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

    Book  Google Scholar 

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

    Article  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Ida Y., 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).

    Article  Google Scholar 

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

    Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Google Scholar 

  • Lin’kov E.M., 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 

  • Lyubushin A.A., “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)].

    Google Scholar 

  • Lyubushin A.A., “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 

  • Lyubushin A.A. 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)].

    Google Scholar 

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

    Google Scholar 

  • Lyubushin A.A., “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)].

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Pavlov A.N., 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 

  • Petrova L.N., “Seismogravitational Oscillations of 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)].

    Google Scholar 

  • Petrova L.N., 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)].

    Google Scholar 

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

    Google Scholar 

  • Ramirez-Rojas A., A. Muñoz-Diosdado, C.G. Pavía-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).

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Rhie J. 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/.

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

    Google Scholar 

  • Sobolev G.A., 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)].

    Google Scholar 

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

    Google Scholar 

  • Sobolev G.A. 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)].

    Google Scholar 

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

    Google Scholar 

  • Sobolev G.A., “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)].

    Google Scholar 

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

    Article  Google Scholar 

  • Tanimoto T., 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 

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

    Google Scholar 

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

    Google Scholar 

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

    Article  Google Scholar 

  • Telesca L., 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 

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

    Google Scholar 

  • Ziganshin A.R. 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].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Lyubushin .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Lyubushin, A. (2010). Multifractal Parameters of Low-Frequency Microseisms. In: de Rubeis, V., Czechowski, Z., Teisseyre, R. (eds) Synchronization and Triggering: from Fracture to Earthquake Processes. Geoplanet: Earth and Planetary Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12300-9_15

Download citation

Publish with us

Policies and ethics