Advertisement

Multifractal Parameters of Low-Frequency Microseisms

  • A. Lyubushin
Chapter
Part of the Geoplanet: Earth and Planetary Sciences book series (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.

Keywords

Strong Earthquake Oceanic Wave Singularity Spectrum Annual Periodicity Move Time Window 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 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).CrossRefGoogle Scholar
  2. 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
  3. Ekstrom G., “Time Domain Analysis of Earth’s Long-Period Seismic Radiation,” J. Geophys. res. 106, N B11, 26483–26493 (2001).CrossRefGoogle Scholar
  4. Feder J., Fractals (Plenum Press, New York, 1988; Mir, Moscow, 1991).CrossRefGoogle Scholar
  5. 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).CrossRefGoogle Scholar
  6. Gilmore R., Catastrophe Theory for Scientists and Engineers (John Wiley and Sons, New York, 1981; Mir, Moscow, 1984).Google Scholar
  7. Hardle W., Applied Nonparametric Regression (Cambridge Univ. Press, Cambridge, New York, New Rochell, Melbourne, Sydney, 1989; Mir, Moscow, 1993).Google Scholar
  8. Hotelling H., “Relations between Two Sets of Variates,” Biometrika 28, 321–377 (1936).Google Scholar
  9. 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).CrossRefGoogle Scholar
  10. 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
  11. Kobayashi N. and K. Nishida, “Continuous Excitation of Planetary Free Oscillations by Atmospheric Disturbances,” Nature 395, 357–360 (1998).CrossRefGoogle Scholar
  12. Kurrle D. and R. Widmer-Schnidrig, “Spatiotemporal Features of the Earth’s Background Oscillations Observed in Central Europe,” Geophys. Res. Lett. 33, L24304 (2006).CrossRefGoogle Scholar
  13. Lin’kov E.M., Seismic Phenomena (LGU, Leningrad, 1987) [in Russian].Google Scholar
  14. 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
  15. 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
  16. 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
  17. 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
  18. Lyubushin A.A., Analysis of Data of Geophysical and Ecological Monitoring (Nauka, Moscow, 2007) [in Russian].Google Scholar
  19. 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
  20. Mandelbrot B.B., The Fractal Geometry of Nature (Freeman and Co., New York, 1982; Institute of Computer Investigations, Moscow, 2002).Google Scholar
  21. Marple (Jr.) S.L., Digital Spectral Analysis with Applications (Prentice-Hall, Englewood Cliffs, New Jersey, 1987; Mir, Moscow, 1990).Google Scholar
  22. 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).CrossRefGoogle Scholar
  23. 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
  24. 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
  25. Rao C.R., Linear Statistical Inference and Its Applications (John Wiley and Sons, New York, London, Sydney, 1965; Nauka, Moscow, 1968).Google Scholar
  26. 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).CrossRefGoogle Scholar
  27. Rhie J. and B. Romanowicz, “Excitation Earth’s Continuous Free Oscillations by Atmosphere–Ocean–Sea.oor Coupling,” Nature 431, 552–554 (2004).CrossRefGoogle Scholar
  28. 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/.
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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).CrossRefGoogle Scholar
  36. 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).CrossRefGoogle Scholar
  37. Tanimoto T. and J. Um, “Cause of Continuous Oscillations of the Earth,” J. Geophys. Res. 104(28), 723–739 (1999).Google Scholar
  38. Tanimoto T., “Continuous Free Oscillations: Atmosphere–Solid Earth Coupling–Annu. Rev.,” Earth Planet. Sci. 29, 563–584 (2001).Google Scholar
  39. Tanimoto T., “The Oceanic Excitation Hypothesis for the Continuous Oscillations of the Earth,” Geophys. J. Int. 160, 276–288 (2005).CrossRefGoogle Scholar
  40. 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).CrossRefGoogle Scholar
  41. 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
  42. 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

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Schmidt Institute of Physics of the EarthRussian Academy of SciencesMoscowRussia

Personalised recommendations