Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

The use of earthquake rate changes as a stress meter at Kilauea volcano

Abstract

Stress changes in the Earth's crust are generally estimated from model calculations that use near-surface deformation as an observational constraint. But the widespread correlation of changes of earthquake activity with stress1,2,3,4,5 has led to suggestions that stress changes might be calculated from earthquake occurrence rates obtained from seismicity catalogues. Although this possibility has considerable appeal, because seismicity data are routinely collected and have good spatial and temporal resolution, the method has not yet proven successful, owing to the nonlinearity of earthquake rate changes with respect to both stress and time. Here, however, we present two methods for inverting earthquake rate data to infer stress changes, using a formulation for the stress- and time-dependence of earthquake rates6. Application of these methods at Kilauea volcano, in Hawaii, yields good agreement with independent estimates, indicating that earthquake rates can provide a practical remote-sensing stress meter.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Figure 1: Map of Kilauea volcano showing earthquakes of magnitude M ≈ 1.5 from 1976 to 1983.
Figure 2: Earthquakes and stresses for the small polygon shown in Fig. 1.
Figure 3: Earthquakes of magnitude M ≈ 1.5 and Coulomb stress scale on a cross-section along the midline of the large box shown in Fig. 1.
Figure 4: Comparison of stresses calculated from the boundary element model of the 1983 intrusion event (Fig. 3b) with the stresses calculated from the seismicity rate changes (Fig. 3c).

Similar content being viewed by others

References

  1. Simpson, R. W. & Reasenberg, P. A. Earthquake induced stress changes on central California faults. US Geol. Surv. Prof. Pap. 1550-F, 55–89 ( 1994).

    Google Scholar 

  2. King, G. C. P., Stein, R. S. & Lin, J. Static stress changes and the triggering of earthquakes. Bull. Seismol. Soc. Am. 84, 935– 953 (1994).

    Google Scholar 

  3. Jaumé, S. C. & Sykes, L. R. Evolution of moderate seismicity in the San Francisco Bay region, 1850 to 1993: Seismicity changes related to the occurrence of large and great earthquakes. J. Geophys. Res. 101, 765–789 (1996).

    Article  ADS  Google Scholar 

  4. Harris, R. A., Simpson, R. W. & Reasenberg, P. A. Influence of static stress changes on earthquake locations in southern California. Nature 375, 221–224 (1995).

    Article  ADS  CAS  Google Scholar 

  5. Stein, R. S. The role of stress transfer in earthquake occurrence. Nature 402, 605–609 (1999).

    Article  ADS  CAS  Google Scholar 

  6. Dieterich, J. H. A constitutive law for rate of earthquake production and its applications to earthquake clustering. J. Geophys. Res. 99, 2601–2618 (1994).

    Article  ADS  Google Scholar 

  7. Dieterich, J. H. & Kilgore, B. Implications of fault constitutive properties for earthquake prediction. Proc. Natl Acad. Sci. USA 93, 3787–3794 (1996).

    Article  ADS  CAS  Google Scholar 

  8. Scholz, C. H. Earthquakes and friction laws. Nature 391, 37–42 (1998).

    Article  ADS  CAS  Google Scholar 

  9. Stein, R. S., Barka, A. A. & Dieterich, J. H. Progressive failure on the North Anatolian fault since 1939 by earthquake stress triggering. Geophys. J. Int. 128, 594–604 (1997).

    Article  ADS  Google Scholar 

  10. Linker, M. F. & Dieterich, J. H. Effects of variable normal stress on rock friction: observations and constitutive equations. J. Geophys. Res. 97, 4923–4940 (1992).

    Article  ADS  Google Scholar 

  11. Delaney, P. T., Miklius, A., Arnadottir, T., Okamura, A. & Sako, M. Motions of Kilauea volcano during sustained eruption from the Puu Oo and Kapaianaha vents, 1983-1991. J. Geophys. Res. 98, 17801–17820 ( 1993).

    Article  ADS  Google Scholar 

  12. Owen, S. P. et al. Rapid deformation of the south flank of Kilauea volcano, Hawaii. Science 267, 1328–1332 (1995).

    Article  ADS  CAS  Google Scholar 

  13. Delaney, P. T., Fiske, R. S., Miklius, Okamura, A. & Sako, M. Deep magma body beneath the summit and rift zones of Kilauea volcano. Science 247, 1311– 1316 (1990).

    Article  ADS  CAS  Google Scholar 

  14. Gillard, D., Rubin, A. M. & Okubo, P. Highly concentrated seismicity caused by deformation of Kilauea's deep magma system. Nature 384, 343–346 (1996).

    Article  ADS  Google Scholar 

  15. Dvorak, J. J. et al. Mechanical response of the south flank of Kilauea volcano, Hawaii, to intrusive events along the rift zones. Tectonophysics 124, 193–209 ( 1986).

    Article  ADS  Google Scholar 

  16. Dieterich, J. H. Growth and persistence of Hawaiian volcanic rift zones. J. Geophys. Res. 93, 4258–4270 ( 1988).

    Article  ADS  Google Scholar 

  17. Ando, M. The Hawaiian earthquake of November 29, 1975: Low dip angle faulting due to forceful injection of magma. J. Geophys. Res. 84, 7616–7626 (1979).

    Article  ADS  Google Scholar 

  18. Got, J., Fréchet, J. & Klein, F. W. Deep fault plane geometry inferred from multiplet relative relocation beneath the south flank of Kilauea. J. Geophys. Res. 99, 15375–15386 ( 1994).

    Article  ADS  Google Scholar 

  19. Klein, F. W., Koyanagi, R. Y., Nakata, J. S. & Tanigawa, W. R. The seismicity of Kilauea's magma system. US Geol. Surv. Prof. Pap. 1350, 1019–1185 ( 1987).

    Google Scholar 

  20. Cayol, V. & Cornet, F. H. 3D mixed boundary elements for elastostatic deformation field analysis. Int. J. Rock Mech. Min. Sci. 34, 275–287 ( 1997).

    Article  Google Scholar 

  21. Cayol, V., Dieterich, J. H., Okamura, A. T. & Miklius, A. High rates of deformation prior to the 1983 Eruption of Kilauea Volcano, Hawaii. Science 288, 2343–2346 (2000).

    Article  ADS  CAS  Google Scholar 

Download references

Acknowledgements

We thank A. Rubin for useful suggestions for this manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to James Dieterich.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dieterich, J., Cayol, V. & Okubo, P. The use of earthquake rate changes as a stress meter at Kilauea volcano . Nature 408, 457–460 (2000). https://doi.org/10.1038/35044054

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1038/35044054

This article is cited by

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing