Skip to main content
SpringerLink
Log in

Analysis of Temporal Structures of Seismic Events on Different Scale Levels

  • Chapter
  • First Online:
Rock Damage and Fluid Transport, Part II

Part of the book series: Pageoph Topical Volumes ((PTV))

  • 499 Accesses

Abstract

A statistical model for describing the energy scaling of the distribution of inter-event times is described. By considering the diverse region seismicity (natural and induced) on different scale (energy/ magnitude) levels the self-similarity of the distribution has been determined. A comparison between the distribution of inter-event times on different scale levels and the most popular distributions of reliability theory has been carried out. The distribution of inter-event times for different scale levels is well approximated by the Weibull distribution. The Weibull distribution, with parameters which obey the scaling model and the Gutenberg-Richter law, has been tested.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Baiesi, M. and Paczuski, M. (2004), Scale-free networks of earthquakes and aftershocks, Phys. Rev. E69, 066106.

    Google Scholar 

  • Bak, P., Christensen, K., Danon, L., and Scanlon, T. (2002), Unified scaling law for earthquakes, Phys. Rev. Lett. 88, 178501.

    Article  Google Scholar 

  • Bogdanoff, J.L., and Kozin, F. Probabilistic Models of Cumulative Damage, (John Wiley-& Sons, New York, 1985).

    Google Scholar 

  • Corral, A. (2003), Local distributions and rate fluctuations in a unified scaling law for earthquakes, Phys. Rev. E68, 035102 (R).

    Google Scholar 

  • Corral, A. (2004), Long-Term Clustering, Scaling, and Universality in the Temporal Occurrence of Earthquakes, Phys. Rev. Lett. 92, 10, 1–4.

    Article  Google Scholar 

  • Correig, A.M., Urquizu, M., Vila, J., and Marti, J. (1997), Analysis of the temporal occurrence of seismicity at deception island (Antarctica). A nonlinear approach, Pure Appl. Geophys. 149, 553–574.

    Article  Google Scholar 

  • Cox, D.R. and Oakes, D., Analysis of Survival Data, (Chapman and Hall, London, 1984).

    Google Scholar 

  • Database, “The Catalogue of Toktogul Region Earthquakes, 1929–1991,” http://zeus.wdcb.ru/wdcb/sep/toktogul/resen.html

  • Davidsen, J. and Goltz, C. (2004), Are seismic waiting time distributions universal?, Geophys. Res. Lett. 31, 21, 10.1029/2004GL020892.

    Article  Google Scholar 

  • Gardner, J.K. and Knopoff, L. (1974), Sequence of earthquakes in Southern California, with aftershocks removed, Poissonian?, Bull. Seismol. Soc. Am. 64, 1363.

    Google Scholar 

  • German, V. I., Self-Similarity of inter-event times between failure acts in rock on different scale levels, In Proceedings of 1-St International School-Seminar Physical Foundation of Rock Fracture Prediction (SibSAU, Krasnoyarsk, 2002), pp. 66–72 (in Russian).

    Google Scholar 

  • German, V. I. (2005), Universal scaling laws for distributions of energy, temporal and spatial characteristics in seismology, Geophys. Res. Abstracts 7, 01311, SRef-ID: 1607-7962/gra/EGU05-A-01311. http://www.cosis.net/abstracts/EGU05/01311/ EGU05-J-01311-1.pdf

  • German, V. I. and Mansurov, V. A. (2002), Induced seismicity monitoring and procedure of rock-burst focus localization, J. Mining Sci. 38, 4, July–August, 336–343.

    Article  Google Scholar 

  • Kagan, Y. Y. (1999), Universality of the seismic moment-frequency relation, Pure Appl. Geophysics 155, 537–573.

    Article  Google Scholar 

  • Kagan, Y. Y. and Jackson, D. D. (1991), Long-term earthquakes clustering, Geophys. J. Int. 104, 117–133.

    Article  Google Scholar 

  • Knopoff, L., Levshina, T., Keilis-Borok, V. I., and Mattoni, C. (1996), Increased long-range intermediate-magnitude earthquake activity prior to strong earthquakes in california, J. Geophys. Res. 101, 5779–5796.

    Article  Google Scholar 

  • Kuksenko, V. S., Tomilin, N. G., Damaskinskaya, E., and Lockner, D. A. (1996), A two-stage model of fracture of rocks, Pure Appl. Geophys. 146, 2, 253–263.

    Article  Google Scholar 

  • Lemeshko, B.Yu. and Postovalov, S.N. (2001), Application of the nonparametric goodness-of-fit tests in testing composite hypotheses, Optoelectronics, Instrumentation and Data Processing, 2, 76–88. Also available at http://ami.nstu.ru/~headrd/seminar/publik_html/Awtom_eng.htm

    Google Scholar 

  • Lomnitz, C., Fundamentals of Earthquake Prediction (Wiley, New York, 1994).

    Google Scholar 

  • Molchan, G.M. and Dmitrieva, O. E. (1992), Aftershock identification: Methods and new approaches, Geophys. J. Int. 109, 3, 501–516.

    Article  Google Scholar 

  • Mukhamedov, V. A. (1996), On the fractal dimension of temporal similarity in a sequence of seismic events and hierarchical structure of the crust, Physics of the Solid Earth 31, 6, 542–547, January, 1996. Russian Edition, June 1995. Also available at http://eos.wdcb.rssi.ru/transl/izve/9506/PAP12.HTM

    Google Scholar 

  • Nishenko, S. P. and Buland, R. (1987), A generic recurrence interval distribution for earthquake forecasting, Bull. Seismol. Soc. Am. 77, 4, 1382–1399.

    Google Scholar 

  • Rautian, T. G. (1964), About determination of the earthquakes energy for distance less then 3000 km, Transactions of Institute of the Physics of the Solid Earth of the USSR Academy of Science, 32(199) (in Russian).

    Google Scholar 

  • Rikitake, T. (1976), Recurrence of Great Earthquakes at Subduction Zones, Tectonophysics, 35, 335–362.

    Article  Google Scholar 

  • Rykunov, L. S., Smirnov, V. B., Starovoit, Yu. O., and Chubarova, O. S. (1987), Self-similarity of seismic emission in time, Doklady AN USSR 297, 6, 1337–1341.

    Google Scholar 

  • Sadovskiy, M. A., Bolkhovitinov, L. G., and Pisarenko, V. F., Deformation of Geophysical Medium and Seismic Process (Nauka, Moscow, 1987) (in Russian).

    Google Scholar 

  • Sobolev, G. A., Chelidze, T. L., Zavyalov, A. D., Slavina, L. V., and Nikoladze, V. E. (1991), Maps of Expected Earthquakes Based on a Combination of Parameters, Tectonophysics 193, 255–265.

    Article  Google Scholar 

  • Sornette, D. and Knopoff, L. (1997), The paradox of the expected time until the next earthquake, Bull. Seismol. Soc. Am. 87, 4, 789–798.

    Google Scholar 

  • Special Catalogue of Earthquakes of the Northern Eurasia, ancient time-1990 (ed. Kondorskaya, N.V. and Ulomov, V.I.), http://www.seismo.ethz.ch/gshap/neurasia/nordasiacat.txt

  • Tomilin, N. G. and Voinov, K. A., Technique and results of the rock burst prediction Proc International Conf. Mechanics of Jointed and Faulted Rock, (Rotterdam: Balkema, 1995), pp. 955–959.

    Google Scholar 

  • Turcotte, D. L., Fractals and Chaos in Geology and Geophysics (Cambridge University Press, Cambridge, U.K., 1992).

    Google Scholar 

  • Ulomov, V. I. (1998), Focal Zones of Earthquakes Modeled in Terms of the Lattice Regularization Izvestiya, Physics of the Solid Earth 9, 717–733.

    Google Scholar 

  • Ulomov, V., Shumilina, L., and Trifonov, V. et al. (1999), Seismic hazard of northern eurasia, Annali Geofis. 42, 1023–1038.

    Google Scholar 

  • Wang, J. H. and Kuo, C. H. (1998), On the frequency distribution of interoccurrence times of earthquakes, J. Seismol. 2, 351–358.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Siberian Aerospace State University named after M. F. Reshetnev, 31 Krasnoyarsky rabochy st., 660014, Krasnoyarsk, Russia

    V.I. German

Authors
  1. V.I. German
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. GeoForschungsZentrum Potsdam, Telegrafenberg D425, D-14473, Potsdam, Germany

    Arno Zang , Ove Stephansson  & Georg Dresen ,  & 

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Birkhäuser Verlag

About this chapter

Cite this chapter

German, V. (2006). Analysis of Temporal Structures of Seismic Events on Different Scale Levels. In: Zang, A., Stephansson, O., Dresen, G. (eds) Rock Damage and Fluid Transport, Part II. Pageoph Topical Volumes. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8124-0_11

Download citation

Publish with us

Policies and ethics

Search

Navigation