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From the history of physics


Omori's law: a note on the history of geophysics


Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences, Bolshaya Gruzinskaya ul. 10, Moscow, 123995, Russian Federation

In the late nineteenth century, the Japanese seismologist Omori discovered the first law of earthquake physics, which states that the rate of aftershocks decreases hyperbolically with time. Over the years since then, there has been a vast literature on this law, and the significance of its discovery has been universally recognized. There is, however, profound division of opinion as to the interpretation of the law. Some argue that Omori just proposed a simple data-fitting formula and replace this formula by a power law one with a negative fractional exponent, whereas for others, the Omori law makes physical sense. The paper describes history and essence of Omori?s discovery, with special attention paid to interpretational questions. It is shown that Omori?s original formulation of the law quite correlates with the current understanding of the rock destruction mechanism at the earthquake focus.

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Fulltext is also available at DOI: 10.3367/UFNe.2017.01.038039
Keywords: seismology, earthquake, aftershock, tectonic fault, recombination, relaxation
PACS: 91.30.−f
DOI: 10.3367/UFNe.2017.01.038039
URL: https://ufn.ru/en/articles/2017/3/f/
000405323300006
2-s2.0-85021059694
2017PhyU...60..319G
Citation: Guglielmi A V "Omori's law: a note on the history of geophysics" Phys. Usp. 60 319–324 (2017)
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Received: 30th, July 2016, revised: 22nd, December 2016, 17th, January 2017

Оригинал: Гульельми А В «Закон Омори (из истории геофизики)» УФН 187 343–348 (2017); DOI: 10.3367/UFNr.2017.01.038039

References (38) ↓ Cited by (28) Similar articles (6)

  1. Davison Ch The Founders Of Seismology (Cambridge: The Univ. Press, 1930)
  2. Omori F J. College Sci. Imperial Univ. Tokyo 7 111 (1894)
  3. Gutenberg B, Richter C F Bull. Seismol. Soc. Am. 34 185 (1944)
  4. Richter C F Elementary Seismology (San Francisco: W.H. Freeman, 1958); Per. na russk. yaz., Rikhter Ch F Elementarnaya Seismologiya (M.: IL, 1963)
  5. Bolt B A Earthquakes (San Francisco: W.H. Freeman, 1978); Per. na russk. yaz., Bolt B Zemletryaseniya (M.: Mir, 1981)
  6. Kasahara K Earthquake Mechanics (Cambridge: Cambridge Univ. Press, 1981); Per. na russk. yaz., Kasakhara K Mekhanika Zemletryasenii (M.: Mir, 1985)
  7. Gul’el’mi A V Usp. Fiz. Nauk 185 415 (2015); Guglielmi A V Phys. Usp. 58 384 (2015)
  8. Costa L S et al. Europhys. Lett. 114 59002 (2016)
  9. Guglielmi A V, Zotov O D 11th Intern. Conf. and School "Problems of Geocosmos", St. Petersburg, Russia, October 3 - 7, 2016, Book of Abstracts (St. Petersburg: St. Petersburg State Univ., 2016) p. 210, Sect. S; Guglielmi A V, Zotov O D http://geo.phys.spbu.ru/geocosmos/
  10. Utsu T et al. J. Phys. Earth 43 1 (1995)
  11. Reasenberg P A, Jones L M Science 243 1173 (1989)
  12. Utsu T Geophys. Mag. 30 521 (1961)
  13. Hirano R Kishoshushi 2 2 77 (1924)
  14. Jeffreys H Gerlands Beitr. Geophys. 56 111 (1938)
  15. Nasu N Bull. Earthquake Res. Inst. Univ. Tokyo 6 245 (1929)
  16. Utsu T Zisin 2 J. Seismol. Soc. Jpn. 10 35 (1957)
  17. Utsu T Bull. Seismol. Soc. Am. 52 279 (1962)
  18. Adams R D, Le Fort J H New Zealand J. Geol. Geophys. 6 87 (1963)
  19. Iio Y Zisin 2 J. Seismol. Soc. Jpn. 37 109 (1984)
  20. Ryall A, Savage W U J. Geophys. Res. 74 4281 (1969)
  21. Spivak A A Geoekologiya (6) 27 (1996)
  22. Kocharyan G G, Spivak A A Dinamika Deformirovaniya Blochnykh Massivov Gornykh Porod (M.: Akademkniga, 2003)
  23. Felzer K R "The wonderful world of aftershocks" SeismoLab Seminar, January (Pasadena: CalTech, 2007); Felzer K R http://pasadena.wr.usgs.gov/office/kfelzer/SeisLabTalk.pdf
  24. Guglielmi A V arXiv:1604.07017
  25. Ginzburg V L Rasprostranenie Elektromagnitnykh Voln v Plazme (M.: Fizmatgiz, 1960); Per. na angl. yaz., Ginzburg V L The Propagation Of Electromagnetic Waves In Plasmas (Oxford: Pergamon Press, 1964)
  26. Gul’el’mi A V Fiz. Zemli (5) 165 (2016); Guglielmi A V Izv. Phys. Solid Earth 52 785 (2016)
  27. Ehrenfest P Proc. Acad. Sci. Amsterdam 20 200 (1918)
  28. Gorelik G E Pochemu Prostranstvo Trekhmerno? (M.: Nauka, 1982)
  29. Fisher R A Ann. Eugenics 7 355 (1937)
  30. Kolmogorov A N, Petrovskii I G, Piskunov N S Byull. MGU. Ser. A. Matem. Mekh. 1 (6) 1 (1937); Kolmogorov A N, Petrovskii I G, Piskunov N S Kolmogorov A N. Izbrannye Trudy. Matematika i Mekhanika (Otv. red. S M Nikol’skii) (M.: Nauka, 1985) p. 221; Per. na angl. yaz., Kolmogorov A N, Petrovsky I G, Piskunov N S Kolmogorov A N. Selected Works Vol. 1 (Ed. V M Tikhomirov) (Dordrecht: Kluwer Acad. Publ., 1991) p. 242
  31. Guglielmi A, Zotov O arXiv:1207.0365
  32. Gul’el’mi A V, Zotov O D Fiz. Zemli (1) 3 (2013); Guglielmi A V, Zotov O D Izv. Phys. Solid Earth 49 1 (2013)
  33. Gul’el’mi A V, Zotov O D, Zav’yalov A D Fiz. Zemli (1) 66 (2014); Guglielmi A V, Zotov O D, Zavyalov A D Izv. Phys. Solid Earth 50 64 (2014)
  34. Gul’el’mi A V Fiz. Zemli (6) 127 (2015); Guglielmi A V Izv. Phys. Solid Earth 51 920 (2015)
  35. Zharkov V N Fizika Zemnykh Nedr (M.: Nauka i obrazovanie, 2012)
  36. Narteau C et al. Geophys. Res. Lett. 30 22 (2003)
  37. Bak P How Nature Works: The Science Of Self-organized Criticality (New York: Springer-Verlag, 1999); Per. na russk. yaz., Bak P Kak Rabotaet Priroda: Teoriya Samoorganizovannoi Kritichnosti (M.: URSS, 2013)
  38. Makarov P V Fizicheskaya Mezomekhanika 13 (5) 97 (2010); Makarov P V Phys. Mesomech. 13 292 (2010)

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