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 effect of loading rate on static friction and the rate of fault healing during the earthquake cycle

Abstract

The seismic cycle requires that faults strengthen (heal) between earthquakes, and the rate of this healing process plays a key role in determining earthquake stress drop1,2,3,4, rupture characteristics5,6 and seismic scaling relations2,3,4,7. Frictional healing (as evidenced by increasing static friction during quasi-stationary contact between two surfaces1,8,9,10,11,12) is considered the mechanism most likely to be responsible for fault strengthening2,3,13,14. Previous studies, however, have shown a large discrepancy between laboratory and seismic (field) estimates of the healing rate2,3,4,14,15; in the laboratory, rock friction changes by only a few per cent per order-of-magnitude change in slip rate, whereas seismic stress drop increases by a factor of 2 to 5 per order-of-magnitude increase in earthquake recurrence interval. But in such comparisons, it is assumed that healing and static friction are independent of loading rate. Here, I summarize laboratory measurements showing that static friction and healing vary with loading rate and time, as expected from friction theory16,17,18. Applying these results to seismic faulting and accounting for differences in laboratory, seismic and tectonic slip rates, I demonstrate that post-seismic healing is expected to be retardedfor a period of several hundred days following an earthquake, in agreement with recent findings from repeating earthquakes13,14,19,20.

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: Friction data from experiments in which gouge layers were sheared within rough granite surfaces in the double-direct-shear configuration (upper inset).
Figure 2: Experimental determination of variation of Δφ and Δμ.
Figure 3: Use of an RSF model to analyse loading-rate dependence.
Figure 4: Results of numerical simulations and comparison with field data.

Similar content being viewed by others

References

  1. Dieterich, J. H. Time-dependent friction in rocks. J. Geophys. Res. 77, 3690–3697 (1972).

    Article  ADS  Google Scholar 

  2. Scholz, C. H., Aviles, C. A. & Wesnousky, S. G. Scaling differences between large interplate and intraplate earthquakes. Bull. Seismol. Soc. Am. 76, 65–70 (1986).

    Google Scholar 

  3. Kanamori, H. & Allen, C. R. in Earthquake Source Mechanics (eds Das, S., Boatwright, J. & Scholz, C.) 227–236 (Am. Geophys. Un., Washington DC, (1986)).

    Google Scholar 

  4. Scholz, C. H. The Mechanics of Earthquakes and Faulting (Cambridge Univ. Press, New York, (1990)).

    Google Scholar 

  5. Heaton, T. Evidence for and implications of self healing pulses of slip in earthquake rupture. Phys. Earth Planet Inter. 64, 1–20 (1990).

    Article  ADS  Google Scholar 

  6. Perrin, G., Rice, J. R. & Zheng, G. Self-healing slip pulse on a frictional surface. J. Mech. Phys. Solids 43, 1461–1495 (1995).

    Article  ADS  MathSciNet  Google Scholar 

  7. Heimpel, M. Critical behaviour and the evolution of fault strength during earthquake cycles. Nature 388, 856–858 (1997).

    Article  ADS  Google Scholar 

  8. Johnson, T. Time dependent friction of granite: implications for precursory slip on faults. J. Geophys. Res. 86, 6017–6028 (1981).

    Article  ADS  Google Scholar 

  9. Beeler, N. M., Tullis, T. E. & Weeks, J. D. The roles of time and displacement in the evolution effect in rock friction. Geophys. Res. Lett. 21, 1987–1990 (1994).

    Article  ADS  Google Scholar 

  10. Nakatani, M. & Mochizuki, H. Effects of shear stress applied to surface in stationary contact on rock friction. Geophys. Res. Lett. 23, 869–872 (1996).

    Article  ADS  Google Scholar 

  11. Karner, S. L., Marone, C. & Evans, B. Laboratory study of fault healing and lithification in simulated fault gouge under hydrothermal conditions. Tectonophysics 277, 41–55 ((1997)).

    Article  ADS  CAS  Google Scholar 

  12. Olsen, M. P., Scholz, C. H. & Léger, A. Healing and sealing of a simulated fault gouge under hydrothermal condtions: implications for fault healing. J. Geophys. Res.(submitted).

  13. Vidale, J. E., Ellsworth, W., Cole, A. & Marone, C. Rupture variation with recurrence interval in eighteen cycles of a small earthquake. Nature 368, 624–626 (1994).

    Article  ADS  Google Scholar 

  14. Marone, C., Vidale, J. E. & Ellsworth, W. Fault healing inferred from time dependent variations in source properties of repeating earthquakes. Geophys. Res. Lett. 22, 3095–3098 (1995).

    Article  ADS  Google Scholar 

  15. Cao, T. & Aki, K. Effect of slip rate on stress drop. Pure Appl. Geophys. 124, 515–529 (1986).

    Article  ADS  Google Scholar 

  16. Dieterich, J. H. Modeling of rock friction: 1. Experimental results and constitutive equations. J. Geophys. Res. 84, 2161–2168 (1979).

    Article  ADS  Google Scholar 

  17. Ruina, A. Slip instability and state variable friction laws. J. Geophys. Res. 88, 10359–10370 (1983).

    Article  ADS  Google Scholar 

  18. Kato, N., Yamamoto, K., Yamamoto, H. & Hirasawa, T. Strain-rate effects on frictional strength and the slip nucleation process. Tectonophysics 211, 269–282 (1992).

    Article  ADS  Google Scholar 

  19. Nadeau, R. M., Foxall, W. & McEvilly, T. V. Clustering and periodic recurrence of microearthquakes on the San Andreas fault at Parkfield, California. Science 267, 503–508 (1995).

    Article  ADS  CAS  PubMed  Google Scholar 

  20. Lees, J. M. Microseismic multiplets do not exhibit effects of fault healing at Coso. Eos 77, 502 (1996).

    Google Scholar 

  21. Wang, W. & Scholz, C. H. Micromechanics of the velocity and normal stress dependence of rock friction. Pure Appl. Geophys. 143, 303–316 (1994).

    Article  ADS  Google Scholar 

  22. Beeler, N. M. & Tullis, T. E. The roles of time and displacement in velocity dependent volumetric strain of fault zones. J. Geophys. Res. 102, 22595–22609 (1997).

    Article  ADS  Google Scholar 

  23. Segall, P. & Rice, J. R. Dilatancy, compaction, and slip instability of a fluid infiltrated fault. J. Geophys. Res. 100, 22155–22173 (1995).

    Article  ADS  Google Scholar 

  24. Marone, C., Scholz, C. H. & Bilham, R. On the mechanics of earthquake afterslip. J. Geophys. Res. 96, 8441–8452 (1991).

    Article  ADS  Google Scholar 

  25. Rice, J. R. Spatio-temporal complexity of slip on a fault. J. Geophys. Res. 98, 9885–9907 (1993).

    Article  ADS  Google Scholar 

  26. Dieterich, J. H. Aconstitutive law for rate of earthquake production and its application to earthquake clustering. J. Geophys. Res. 99, 2601–2618 (1994).

    Article  ADS  Google Scholar 

  27. Roy, M. & Marone, C. Earthquake nucleation on models faults with rate and state dependent friction: the effects of inertia. J. Geophys. Res. 101, 13919–13932 (1996).

    Article  ADS  Google Scholar 

  28. Biegel, R. L., Sammis, C. G. & Dieterich, J. H. The frictional properties of a simulated gouge with a fractal particle distribution. J. Struct. Geol. 11, 827–846 (1989).

    Article  ADS  Google Scholar 

  29. Marone, C. & Kilgore, B. Scaling of the critical slip distance for seismic faulting with shear strain in fault zones. Nature 362, 618–621 (1993).

    Article  ADS  Google Scholar 

  30. Beeler, N. M., Tullis, T. E., Blanpied, M. L. & Weeks, J. D. Frictional behaviour of large displacement experimental faults. J. Geophys. Res. 101, 8697–8716 (1996).

    Article  ADS  Google Scholar 

  31. Marone, C. Laboratory-derived friction laws and their application to seismic faulting. Annu. Rev. Earth Planet. Sci.(in the press).

Download references

Acknowledgements

I thank C. Scholz and N. Beeler for review comments and J. Rice, M. Blanpied and C.Raymo for discussions that helped sharpen my understanding of frictional healing. This work was supported by the US NSF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chris Marone.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Marone, C. The effect of loading rate on static friction and the rate of fault healing during the earthquake cycle. Nature 391, 69–72 (1998). https://doi.org/10.1038/34157

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/34157

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