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.

  • Article
  • Published:

Randomness of megathrust earthquakes implied by rapid stress recovery after the Japan earthquake

Abstract

Constraints on the recurrence times of subduction zone earthquakes are important for seismic hazard assessment and mitigation. Models of such megathrust earthquakes often assume that subduction zones are segmented and earthquakes occur quasi-periodically owing to constant tectonic loading. Here we analyse the occurrence of small earthquakes compared to larger ones—the b-values—on a 1,000-km-long section of the subducting Pacific Plate beneath central and northern Japan since 1998. We find that the b-values vary spatially and mirror the tectonic regime. For example, high b-values, indicative of low stress, occur in locations characterized by deep magma chambers and low b-values, or high stress, occur where the subducting and overriding plates are strongly coupled. There is no significant variation in the low b-values to suggest the plate interface is segmented in a way that might limit potential ruptures. Parts of the plate interface that ruptured during the 2011 Tohoku-oki earthquake were highly stressed in the years leading up to the earthquake. Although the stress was largely released during the 2011 rupture, we find that the stress levels quickly recovered to pre-quake levels within just a few years. We conclude that large earthquakes may not have a characteristic location, size or recurrence interval, and might therefore occur more randomly distributed in time.

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: Three-dimensional study overview.
Figure 2: Temporal evolution of b-values along the subducting plate.
Figure 3: b-value time series and monthly activity rates.
Figure 4: Correlation between b-values and co-seismic slip in Tohoku.
Figure 5: Significance of temporal b-value changes.

Similar content being viewed by others

References

  1. Reid, H. F. The Mechanics of The Earthquake. The California Earthquake of April 18, 1906 Vol. 2 (Carnegie Institute, 1910).

    Google Scholar 

  2. Gutenberg, B. & Richter, C. F. Frequency of earthquakes in California. Bull. Seismol. Soc. Am. 34, 185–188 (1944).

    Google Scholar 

  3. Scholz, C. H. The frequency-magnitude relation of microfracturing in rock and its relation to earthquakes. Bull. Seismol. Soc. Am. 58, 399–415 (1968).

    Google Scholar 

  4. Goebel, T. H. W., Schorlemmer, D., Becker, T. W., Dresen, G. & Sammis, C. G. Acoustic emissions document stress changes over many seismic cycles in stick-slip experiments. Geophys. Res. Lett. 40, 1–6 (2013).

    Article  Google Scholar 

  5. Kun, F., Varga, I., Lennartz-Sassinek, S. & Main, I. G. Approach to failure in porous granular materials under compression. Phys. Rev. E 88, 062207 (2013).

    Google Scholar 

  6. Wiemer, S. & Wyss, M. Mapping spatial variability of the frequency–magnitude distribution of earthquakes. Adv. Geophys. 45, 259–302 (2002).

    Article  Google Scholar 

  7. Tormann, T., Wiemer, S. & Mignan, A. Systematic survey of high-resolution b value imaging along Californian faults: Inference on asperities. J. Geophys. Res. 119, 1–26 (2014).

    Google Scholar 

  8. Schorlemmer, D., Wiemer, S. & Wyss, M. Variations in earthquake-size distribution across different stress regimes. Nature 437, 539–542 (2005).

    Article  Google Scholar 

  9. Schorlemmer, D. & Wiemer, S. Microseismicity data forecast rupture area. Nature 434, 1086 (2005).

    Article  Google Scholar 

  10. Nanjo, K. Z., Hirata, N., Obara, K. & Kasahara, K. Decade-scale decrease in b value prior to the M9-class 2011 Tohoku and 2004 Sumatra quakes. Geophys. Res. Lett. 39, L20304 (2012).

    Article  Google Scholar 

  11. Bachmann, C. E., Wiemer, S., Goertz-Allmann, B. P. & Woessner, J. Influence of pore-pressure on the event-size distribution of induced earthquakes. Geophys. Res. Lett. 39, L09302 (2012).

    Article  Google Scholar 

  12. Wyss, M., Hasegawa, A. & Nakajima, J. Source and path of magma for volcanoes in the subduction zone of northeastern Japan. Geophys. Res. Lett. 28, 1819–1822 (2001).

    Article  Google Scholar 

  13. Van Stiphout, T., Kissling, E., Wiemer, S. & Ruppert, N. Magmatic processes in the Alaska subduction zone by combined 3-D b value imaging and targeted seismic tomography. J. Geophys. Res. 114, B11302 (2009).

    Article  Google Scholar 

  14. Hashimoto, C., Noda, A., Sagiya, T. & Matsu’ura, M. Interplate seismogenic zones along the Kuril–Japan trench inferred from GPS data inversion. Nature Geosci. 2, 141–144 (2009).

    Article  Google Scholar 

  15. Uchida, N. & Matsuzawa, T. Coupling coefficient, hierarchical structure, and earthquake cycle for the source area of the 2011 off the Pacific coast of Tohoku earthquake inferred from small repeating earthquake data. Earth Planets Space 63, 675–679 (2011).

    Article  Google Scholar 

  16. Ikeda, Y. Proc. Int. Symp. Eng. Lessons Learn. from 2011 Gt. East Japan Earthquake, March 1–4 2012, Tokyo, Japan 238–253 (Japan Association for Earthquake Engineering, 2012).

    Google Scholar 

  17. Toda, S. & Enescu, B. Rate/state Coulomb stress transfer model for the CSEP Japan seismicity forecast. Earth Planets Space 63, 171–185 (2011).

    Article  Google Scholar 

  18. Nakaya, S. Spatiotemporal variation in b value within the subducting slab prior to the 2003 Tokachi-oki earthquake (M8.0), Japan. J. Geophys. Res. 111, B03311 (2006).

    Article  Google Scholar 

  19. Kanda, R. V. S., Hetland, E. A. & Simons, M. An asperity model for fault creep and interseismic deformation in northeastern Japan. Geophys. J. Int. 192, 38–57 (2013).

    Article  Google Scholar 

  20. Nishimura, T. Pre-, co-, and post-seismic deformation of the 2011 Tohoku-oki earthquake and its implication to a paradox in short-term and long-term deformation. J. Disaster Res. 9, 294–302 (2014).

    Article  Google Scholar 

  21. Hardebeck, J. L. Coseismic and postseismic stress rotations due to great subduction zone earthquakes. Geophys. Res. Lett. 39, L21313 (2012).

    Article  Google Scholar 

  22. Yagi, Y. & Fukahata, Y. Rupture process of the 2011 Tohoku-oki earthquake and absolute elastic strain release. Geophys. Res. Lett. 38, L19307 (2011).

    Article  Google Scholar 

  23. Wei, S., Graves, R., Helmberger, D., Avouac, J-P. & Jiang, J. Sources of shaking and flooding during the Tohoku-Oki earthquake: A mixture of rupture styles. Earth Planet. Sci. Lett. 333–334, 91–100 (2012).

    Article  Google Scholar 

  24. Pollitz, F. F., Bürgmann, R. & Banerjee, P. Geodetic slip model of the 2011 M9.0 Tohoku earthquake. Geophys. Res. Lett. 38, L00G08 (2011).

    Google Scholar 

  25. Suzuki, W., Aoi, S., Sekiguchi, H. & Kunugi, T. Rupture process of the 2011 Tohoku-Oki mega-thrust earthquake (M9.0) inverted from strong-motion data. Geophys. Res. Lett. 38, L00G16 (2011).

    Google Scholar 

  26. Hayes, G. P. Rapid source characterization of the 2011 Mw9.0 off the Pacific coast of Tohoku Earthquake. Earth Planets Space 63, 529–534 (2011).

    Article  Google Scholar 

  27. Ghosh, A., Newman, A. V., Thomas, A. M. & Farmer, G. T. Interface locking along the subduction megathrust from b-value mapping near Nicoya Peninsula, Costa Rica. Geophys. Res. Lett. 35, L01301 (2008).

    Google Scholar 

  28. Asano, Y. et al. Spatial distribution and focal mechanisms of aftershocks of the 2011 off the Pacific coast of Tohoku Earthquake. Earth Planets Space 63, 669–673 (2011).

    Article  Google Scholar 

  29. Toda, S., Lin, J. & Stein, R. S. Using the 2011 Mw 9.0 off the Pacific coast of Tohoku Earthquake to test the Coulomb stress triggering hypothesis and to calculate faults. Earth Planets Space 63, 725–730 (2011).

    Article  Google Scholar 

  30. Stein, R. S. & Toda, S. Megacity megaquakes-two near misses. Science 341, 850–852 (2013).

    Article  Google Scholar 

  31. Mogi, K. Magnitude-frequency relation for elastic shocks accompanying fractures of various materials and some related problems in earthquakes. Bull. Earthq. Res. Inst. 40, 831–853 (1962).

    Google Scholar 

  32. Sammonds, P. R., Meredith, P. G. & Main, I. G. Role of pore fluids in the generation of seismic precursors to shear fracture. Nature 359, 228–230 (1992).

    Article  Google Scholar 

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

    Article  Google Scholar 

  34. Kagan, Y. Y. & Jackson, D. D. Seismic gap hypothesis: Ten years after. J. Geophys. Res. 96, 21419–21431 (1991).

    Article  Google Scholar 

  35. Bak, P. & Tang, C. Earthquakes as a self-organized critical phenomenon. J. Geophys. Res. 94, 15635–15637 (1989).

    Article  Google Scholar 

  36. Stein, S., Geller, R. J. & Liu, M. Why earthquake hazard maps often fail and what to do about it. Tectonophysics 562–563, 1–25 (2012).

    Article  Google Scholar 

  37. National Seismic Hazard Maps for Japan (Headquarters for Earthquake Research Promotion, 2005); http://www.jishin.go.jp/main/index-e.html

  38. Geller, R. J. Shake-up time for Japanese seismology. Nature 472, 407–409 (2011).

    Article  Google Scholar 

  39. Kagan, Y. Y., Jackson, D. D. & Geller, R. J. Characteristic earthquake model, 1884–2011, R.I.P. Seismol. Res. Lett. 83, 951–953 (2012).

    Article  Google Scholar 

  40. Kagan, Y. Y. & Jackson, D. D. Tohoku earthquake: A surprise? Bull. Seismol. Soc. Am. 103, 1181–1194 (2013).

    Article  Google Scholar 

  41. Kulkarni, R., Wong, I., Zachariasen, J., Goldfinger, C. & Lawrence, M. Statistical analyses of great earthquake recurrence along the Cascadia Subduction Zone. Bull. Seismol. Soc. Am. 103, 3205–3221 (2013).

    Article  Google Scholar 

  42. Rosenau, M. & Oncken, O. Fore-arc deformation controls frequency-size distribution of megathrust earthquakes in subduction zones. J. Geophys. Res. 114, B10311 (2009).

    Article  Google Scholar 

  43. Hayes, G. P., Wald, D. J. & Johnson, R. L. Slab1.0: A three-dimensional model of global subduction zone geometries. J. Geophys. Res. 117, B01302 (2012).

    Article  Google Scholar 

  44. Woessner, J. & Wiemer, S. Assessing the quality of earthquake catalogues: Estimating the magnitude of completeness and its uncertainty. Bull. Seismol. Soc. Am. 95, 684–698 (2005).

    Article  Google Scholar 

  45. Nanjo, K. Z. et al. Analysis of the completeness magnitude and seismic network coverage of Japan. Bull. Seismol. Soc. Am. 100, 3261–3268 (2010).

    Article  Google Scholar 

  46. Tormann, T. & Wiemer, S. Reply to “comment on ‘changes of reporting rates in the Southern California earthquake catalog, introduced by a new definition of ML’ by Thessa Tormann, Stefan Wiemer, and Egill Hauksson” by Duncan Carr Agnew. Bull. Seismol. Soc. Am. 100, 3325–3328 (2010).

    Article  Google Scholar 

  47. Aki, K. Maximum likelihood estimate of b in the formula logN = abM and its confidence limits. Bull. Earthq. Res. Inst. 43, 237–239 (1965).

    Google Scholar 

  48. Shi, Y. & Bolt, B. A. The standard error of the magnitude-frequency b value. Bull. Seismol. Soc. Am. 72, 1677–1687 (1982).

    Google Scholar 

  49. Yagi, Y. Source rupture process of the 2003 Tokachi-oki earthquake determined by joint inversion of teleseismic body wave and strong ground motion data. Earth Planets Space 56, 311–316 (2004).

    Article  Google Scholar 

  50. Tormann, T., Wiemer, S., Metzger, S., Michael, A. J. & Hardebeck, J. L. Size distribution of Parkfield’s microearthquakes reflects changes in surface creep rate. Geophys. J. Int. 193, 1474–1478 (2013).

    Article  Google Scholar 

Download references

Acknowledgements

We thank J. Hardebeck, S. Jónsson and M. Wyss for feedback on the manuscript. We thank JMA for sharing the earthquake catalogue. Figures were produced with The Generic Mapping Tools http://gmt.soest.hawaii.edu. Part of this study was funded through SNF grant PMPDP2 134174. B.E. acknowledges support from the ‘Mega-Earthquake Risk Management’ project at the University of Tsukuba.

Author information

Authors and Affiliations

Authors

Contributions

B.E. obtained, selected and pre-processed the earthquake data sets used in this study and provided expert opinion on the Japanese seismotectonics. T.T. led the design of, implemented and conducted the data analysis, and was responsible for result visualization. S.W. and J.W. contributed to the design of the analysis. J.W. contributed to figure generation. All authors participated in the discussion and interpretation of results and the writing of the manuscript.

Corresponding author

Correspondence to Thessa Tormann.

Ethics declarations

Competing interests

The authors declare no competing financial interests.

Supplementary information

Supplementary Information

Supplementary Information (PDF 1339 kb)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tormann, T., Enescu, B., Woessner, J. et al. Randomness of megathrust earthquakes implied by rapid stress recovery after the Japan earthquake. Nature Geosci 8, 152–158 (2015). https://doi.org/10.1038/ngeo2343

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/ngeo2343

This article is cited by

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