Journal of Seismology

, Volume 17, Issue 1, pp 165–187 | Cite as

A probabilistic approach for the classification of earthquakes as ‘triggered’ or ‘not triggered’

Application to the 13th Jan 1976 Kópasker Earthquake on the Tjörnes Fracture Zone, Iceland
  • Luigi Passarelli
  • Francesco Maccaferri
  • Eleonora Rivalta
  • Torsten Dahm
  • Elias Abebe Boku
Original Article

Abstract

The occurrence time of earthquakes can be anticipated or delayed by external phenomena that induce strain energy changes on the faults. ‘Anticipated’ earthquakes are generally called ‘triggered’; however, it can be controversial to label a specific earthquake as such, mostly because of the stochastic nature of earthquake occurrence and of the large uncertainties usually associated to stress modelling. Here we introduce a combined statistical and physical approach to quantify the probability that a given earthquake was triggered by a given stress-inducing phenomenon. As an example, we consider an earthquake that was likely triggered by a natural event: the M = 6.2 13 Jan 1976 Kópasker earthquake on the Grímsey lineament (Tjörnes Fracture Zone, Iceland), which occurred about 3 weeks after a large dike injection in the nearby Krafla fissure swarm. By using Coulomb stress calculations and the rate-and-state earthquake nucleation theory, we calculate the likelihood of the earthquake in a scenario that contains only the tectonic background and excludes the dike and in a scenario that includes the dike but excludes the background. Applying the Bayes’ theorem, we obtain that the probability that the earthquake was indeed triggered by the dike, rather than purely due to the accumulation of tectonic strain, is about 60 to 90 %. This methodology allows us to assign quantitative probabilities to different scenarios and can help in classifying earthquakes as triggered or not triggered by natural or human-induced changes of stress in the crust.

Keywords

Triggered and induced seismicity Bayesian statistics Dike-induced stress changes Rifting Tjörnes fracture zone 

References

  1. Bender B (1983) Maximum likelihood estimation of b values for magnitude grouped data. Bull Seismol Soc Am 73:831–851Google Scholar
  2. Björnsson A (1985) Dynamics of crustal rifting in NE Iceland. J Geophys Res 90 (B12):10.151–10.162Google Scholar
  3. Buck W, Einarsson P, Brandsdóttir B (2006) Tectonics stress and magma chamber size as controls on dike propagation: constraints from the 1975–1984 Krafla rifting episode. J Geophys Res 111:B12,404. doi:10.1029/2005JB003879 CrossRefGoogle Scholar
  4. Cayol V, Dieterich J, Okamura A, Miklius A (2000) High magma storage rates before the 1983 eruption of Kilauea, Hawaii. Science 288(5475):2343–2346. doi:10.1126/science.288.5475.2343 CrossRefGoogle Scholar
  5. Cesca S, Rohr A, Dahm T (2011) Discrimination of induced seismicity by full moment tensor inversion and decomposition. J Seismol, this issueGoogle Scholar
  6. Cocco M, Hainzl S, Catalli F, Enescu B, Lombardi A, Woessner J (2010) Sensitivity study of forecasted aftershock seismicity based on Coulomb stress calculation and rate- and state-dependent frictional response. J Geophys Res 115:B05,307. doi:10.1029/2009JB006838 CrossRefGoogle Scholar
  7. Dahm T (2000) Numerical simulations of the propagation path and the arrest of fluid-filled fractures in the Earth. Geophys J Int 141:623–638CrossRefGoogle Scholar
  8. Dieterich J (1994) A constitutive law for rate of earthquake production and its application to earthquake clustering. J Geophys Res 99(B2):2601–2618CrossRefGoogle Scholar
  9. Dieterich J, Kilgore B (1996) Implications of fault constitutive properties for earthquake prediction. Proc Natl Acad Sci U S A 93:3787–3794CrossRefGoogle Scholar
  10. Dieterich J, Cayol V, Okubo P (2000) The use of earthquake rate changes as a stress meter at Kilauea Volcano. Nature 408:457–460CrossRefGoogle Scholar
  11. Einarsson P (1987) Compilation of fault plane solutions in the North Atlantic and Artict Oceans. In: Kasahara K (ed) Recent plate movements and deformation, geodyn. ser., vol 20. AGU, Washington, DC, pp 47–62CrossRefGoogle Scholar
  12. Einarsson P, Brandsdóttir B (1980) Seismological evidence for lateral magma intrusion during the July 1978 deflation of the Krafla volcano in NE Iceland. J Geophys 47:160–165Google Scholar
  13. Feuillet N, Cocco M, Musumeci C, Nostro C (2006) Stress interaction between seismic and volcanic activity at Mt Etna. Geophys J Int 164:697–718. doi:10.1111/j.1365-246X.2005.02824.x CrossRefGoogle Scholar
  14. Geirsson H, Arnadottir T, Volksen C, Jiang W, Sturkell E, Villemin T, Einarsson P, Sigmundsson F, Stefansson R (2006) Current plate movements across the Mid-Atlantic Ridge determined from 5 years of continuous GPS measurements in Iceland. J Geophys Res 111:B09,407. doi:10.1029/2005JB003717 CrossRefGoogle Scholar
  15. Hainzl S, Steacy S, Marsan D (2010) Seismicity models based on Coulomb stress calculations. Community online resource for statistical seismicity analysis (CORSSA). doi:10.5078/corssa-32035809. http://www.corssa.org
  16. Halldórson P (2005) Jardskjálftavirkni á Nordurlandi, Icelandic Meteorological Office. Report 05021-VÍ-ES-10. http://www.vedur.is/utgafa/greinargerdir/2005
  17. Harris RA (1998) Introduction to special section: stress triggers, stress shadows, and implications for seismic hazard. J Geophys Res 103(24):347–24Google Scholar
  18. Hensch M, Riedel C, Reinhardt J, T D (2008) Hypocenter migration of fluid-induced earthquake swarms in the Tjörnes Fracture Zone (North Iceland). Tectonophysics 447(1-4):80–94CrossRefGoogle Scholar
  19. Hill DP (1977) A model for earthquake swarms. J Geophys Res 82(8):1347–1352. doi:10.1029/JB082i008p01347 CrossRefGoogle Scholar
  20. Hill DP, Pollitz F, Newhall C (2002) Earthquake–volcano interactions. Phys Today 55:41–47. doi:10.1063/1.1535006 CrossRefGoogle Scholar
  21. Jacques E, King G, Tapponnier P, Ruegg J, Manighetti I (1996) Seismic triggering by stress change after the 1978 events in the Asal Rift, Djibouti. Geophys Res Lett 23(18):2481–2484CrossRefGoogle Scholar
  22. Jónsson S, Segall P, Pedersen R, Björnsson G (2003) Post-earthquake ground movements correlated to pore-pressure transients. Nature 424(6945):179–183. doi:10.1038/nature01776 CrossRefGoogle Scholar
  23. King GCP, Cocco M (2000) Fault interaction by elastic stress changes: new clues from earthquake sequences. Adv Geophys 44:1–36CrossRefGoogle Scholar
  24. Lengliné O, Marsan D, Got JL, Pinel V, Ferrazzini V, Okubo PG (2008) Seismicity and deformation induced by magma accumulation at three basaltic volcanoes. J Geophys Res 113:B12,305. doi:10.1029/2008JB005937 CrossRefGoogle Scholar
  25. Maccaferri F, Bonafede M, Rivalta E (2010) A numerical model of dyke propagation in layered elastic media. Geophys J Int 180:1107–1123CrossRefGoogle Scholar
  26. Metzger S, Jónsson S, Geirsson H (2011) Locking depth and slip-rate of the Húsavík Flatey fault, North Iceland, derived from continuous GPS data 2006–2010. Geophys J Int 187(2):564–576. doi:10.1111/j.1365-246X.2011.05176.x CrossRefGoogle Scholar
  27. Ogata Y (1983) Estimation of the parameters in the modified Omori formula for aftershock frequencies by the maximum likelihood procedure. J Phys Earth 31:115–124CrossRefGoogle Scholar
  28. Parsons T (2002) Global Omori law decay of triggered earthquakes: large aftershocks outside the classical aftershock zone. J Geophys Res 107:B9, 2199Google Scholar
  29. Riedel C, Petersen T, Theilen F, Neben S (2003) High b-value in the leaky segment of the Tjörnes fracture zone north of Iceland: are they evidence for shallow magmatic sources? J Volcanol Geotherm Res 128:15–29. doi:10.1016/S0377-0273(03)00244-0 CrossRefGoogle Scholar
  30. Riedel C, Tryggvason A, Dahm T, Stefanson R, Bodvarson R, Gudmundsson G (2005) The seismic velocity structure north of Iceland from joint inversion of local earthquakes data. J Seismol 9:383–404CrossRefGoogle Scholar
  31. Rivalta E, Dahm T (2004) Dyke emplacement in fractured media: application to the 2000 intrusion at Izu islands, Japan. Geophys J Int 157:283–292CrossRefGoogle Scholar
  32. Rögnvaldsson ST, Gudmundsson A, Slunga R (1998) Seismotectonic analysis of the Tjörnes fracture zone, an active transform fault in north Iceland. J Geophys Res 103(B12):30,117–30,129CrossRefGoogle Scholar
  33. Segall P, Desmarais E, Shelly D, Miklius A, Cervelli P (2006) Earthquake triggered by silent slip events on Kilauea Volcano, Hawaii. Nature 442:71–74. doi:10.1038/nature04938 CrossRefGoogle Scholar
  34. Shi Y, Bolt B (1982) The standard error of the magnitude-frequency b value. Bull Seismol Soc Am 72(5):1677–1687Google Scholar
  35. Stefansson R, Gudmundsson G, Halldorsson P (2008) Tjörnes fracture zone. New and old seismic evidences for the link between the North Iceland rift zone and the Mid-Atlantic ridge. Tectonophysics 447:117–126CrossRefGoogle Scholar
  36. Stein RS (1999) The role of stress transfer in earthquake occurrence. Nature 402:605–609CrossRefGoogle Scholar
  37. Toda S, Stein R (2003) Toggling seismicity by the 1997 Kagoshima earthquake couplet: a demonstration of time-dependent stress transfer. J Geophys Res 108:B122,567. doi:10.1029/2003JB002557 Google Scholar
  38. Toda S, Stein R, Sagiya T (2002) Evidence from the AD 2000 Izu islands earthquake swarm that stressing rate governs seismicity. Nature 419:58–61CrossRefGoogle Scholar
  39. Tryggvason E (1984) Widening of the Krafla fissure swarm during the 1975–1981 volcano-tectonic episode. Bull Volcanol 47(1):47–69CrossRefGoogle Scholar
  40. Utsu T, Ogata Y, Matsu’ura S (1995) The centenary of the Omori formula for a decay law of aftershock activity. J Phys Earth 43:1–33CrossRefGoogle Scholar
  41. Wessel P, Smith WHF (1998) New, improved version of the generic mapping tools released. EOS Trans AGU 79:579CrossRefGoogle Scholar
  42. Wiemer S, Wyss M (2000) Minimum magnitude of completeness in earthquake catalogs: examples from Alaska, the Western United States, and Japan. Bull Seismol Soc Am 90:859–869CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  • Luigi Passarelli
    • 1
  • Francesco Maccaferri
    • 1
  • Eleonora Rivalta
    • 1
  • Torsten Dahm
    • 1
  • Elias Abebe Boku
    • 1
  1. 1.Institute of GeophysicsUniversity of HamburgHamburgGermany

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