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

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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.

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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).

References

  1. 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).

  2. 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).

  3. 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).

  4. 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).

  5. 5

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

  6. 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).

  7. 7

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

  8. 8

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

  9. 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).

  10. 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).

  11. 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).

  12. 12

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

  13. 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).

  14. 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).

  15. 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).

  16. 16

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

  17. 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).

  18. 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).

  19. 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).

  20. 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).

  21. 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).

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Acknowledgements

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

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Correspondence to James Dieterich.

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