Skip to main content

Scale Invariance of Earthquakes

  • Conference paper
Scale Invariance and Beyond

Part of the book series: Centre de Physique des Houches ((LHWINTER,volume 7))

Abstract

If the model of self-organized criticality (SOC) yields power law distributions [1–5], does it follow that the well-known power-law distribution of earthquake energies [6–8] imply that the earthquake process is SOC? I show below that the earth is not SOC and that there are alternatives to understand the power law.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

  1. Bak P., Tang, C., J. Geophys. Res. 4 (1989) 15635–15637

    Article  ADS  Google Scholar 

  2. Sornette A., Sornette D., Europhys. Lett. 9 (1989) 197–202.

    Google Scholar 

  3. Olami Z., Feder H.J.S., Christensen K., Phys. Rev. Lett. 68 (1992) 1244–1247.

    Article  Google Scholar 

  4. Olami Z., Christensen K., Phys. Rev. A 46 (1992) 1720–1723.

    Article  ADS  Google Scholar 

  5. Feder H.J.S., Feder J., Phys. Rev. Lett. 66 (1991) 2669–2672.

    Article  Google Scholar 

  6. Gutenberg B., Q. J. Geol. Soc. Lond. 112 (1956) 1–14.

    Google Scholar 

  7. Gutenberg B., Richter C.F., Bull. Seismol. Soc. Amer. 34 (1944) 185–188.

    Google Scholar 

  8. Gutenberg B., Richter C.F., Ann. di Geofisica 9 (1956) 1–15.

    Google Scholar 

  9. Sieh K., Stuiver M., Brillinger D., J. Geophys. Res. 94 (1989) 603–623.

    Article  ADS  Google Scholar 

  10. Working Group on California Earthquake Probabilities, Bull. Seismol. Soc. Amer. 85 (1995) 379–439.

    Google Scholar 

  11. Omori F., J. Coll. of Science of Imper. Univ. of Japan 7 (1894) 111–200.

    Google Scholar 

  12. Kisslinger C., Jones L.M., J. Geophys. Res. 96 (1991) 11947–11958.

    Article  ADS  Google Scholar 

  13. Utsu T., Geophys. Mag. 30 (1961) 521–605.

    Google Scholar 

  14. Utsu T., J. Faculty Science Hokkaido Univ. Ser. VII 3 (1969) 129–195.

    Google Scholar 

  15. Gardner J.K., Knopoff L., Bull. Seismol. Soc. Amer. 64 (1974) 1363–1367.

    Google Scholar 

  16. Prozorov A.G., Dokl. Akad. Nauk SSSR 227 (1984) 573–577.

    Google Scholar 

  17. Reasenberg P., J. Geophys. Res. 90 (1985) 5479–5495.

    Article  ADS  Google Scholar 

  18. Kagan Y.Y., Knopoff L., Science 236 (1987) 1563–1567.

    Article  ADS  Google Scholar 

  19. Barenblatt G.I., Adv. Appt. Mech. 7 (1962) 55–129.

    Google Scholar 

  20. Li Y.G., Vidale J.E., Aki K., and others, Science 265 (1994) 367–370.

    Article  ADS  Google Scholar 

  21. Xu H.J., Knopoff L., Phys. Rev. E 50 (1994) 3577–3581.

    Article  ADS  Google Scholar 

  22. Nielsen S., Knopoff L., submitted, J. Geophys. Res. (1997).

    Google Scholar 

  23. Zoback M.D., Zoback M.L., Mount V.S., and others, Science 238 (1987) 1105–1111.

    Article  ADS  Google Scholar 

  24. Knopoff L., Proc. Amer. Philosoph. Soc. 137 (1993) 339–349.

    Google Scholar 

  25. Knopoff L., Proc. Natl. Acad. Sci. USA 93 (1996) 3830–3837.

    Article  Google Scholar 

  26. Sieh K., Proc. Natl. Acad. Sci. USA 93 (1996) 3764–3771.

    Article  Google Scholar 

  27. Hauksson E., Jones L.M., Hutton K. and other, J. Geophys. Res. 98 (1993) 19835–19858.

    Article  ADS  Google Scholar 

  28. Yamashita T., Knopoff L., Geophys. J. Roy. Astron. Soc. 91 (1987) 13–26.

    Article  Google Scholar 

  29. Griggs D.T., Handin J., Geol. Soc. Amer. Memoir 79 (1960) 347–364.

    Google Scholar 

  30. Yamashita T., Knopoff L., Geophys. J. Roy. Astron. Soc. 96 (1989) 389399.

    Google Scholar 

  31. Yamashita T., Knopoff L., J. Geophys. Res. 97 (1992) 19873–19879.

    Article  ADS  Google Scholar 

  32. Dieterich J.H., J. Geophys. Res. 77 (1972) 3771–3781.

    Article  ADS  Google Scholar 

  33. Mikumo T., Miyatake T., Geophys. J. Roy. Astron. Soc. 59 (1979) 497522.

    Google Scholar 

  34. Hill D.P., Reasenberg P., Arabasz W.J., and others, Science 260 (1993) 1617–1623.

    Article  ADS  Google Scholar 

  35. Anderson J.G., Brune J.N., Louie J.N., and others, Bull. Seismol. Soc. Amer. 84 (1994) 863–891.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Knopoff, L. (1997). Scale Invariance of Earthquakes. In: Dubrulle, B., Graner, F., Sornette, D. (eds) Scale Invariance and Beyond. Centre de Physique des Houches, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09799-1_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-09799-1_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64000-4

  • Online ISBN: 978-3-662-09799-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics