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Foreshocks and aftershocks of strong earthquakes in the light of catastrophe theory


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

In this review, general ideas and specific results from catastrophe theory and the theory of critical phenomena are applied to the analysis of strong earthquakes. Aspects given particular attention are the sharp rise in the fluctuation level, the increased reactivity of dynamical systems in the near-threshold region, and other anomalous phenomena similar to the critical opalescence. In the lack of a sufficiently developed theory of earthquakes, this appears to be a valid approach to the analysis of observations. The study performed brought out some nontrivial properties of a strong-earthquake source that manifest themselves both before and after the main rock discontinuity forms at the mainshock. In the course of the analysis of the foreshocks and aftershocks, such concepts as the round-the-world seismic echo, the cumulative effect of converging surface waves, and global seismicity modulation by the Earth's free oscillations are introduced. Further research in this direction is likely to be interesting and promising.

Fulltext pdf (691 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0185.201504f.0415
Keywords: earthquake, critical phenomena, bifurcation, surface waves, spheroidal oscillations, cumulative effect, modulation of seismicity
PACS: 91.30.−f, 91.30.Px (all)
DOI: 10.3367/UFNe.0185.201504f.0415
URL: https://ufn.ru/en/articles/2015/4/e/
000357718100005
2-s2.0-84936802965
2015PhyU...58..384G
Citation: Guglielmi A V "Foreshocks and aftershocks of strong earthquakes in the light of catastrophe theory" Phys. Usp. 58 384–397 (2015)
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Received: 23rd, May 2014, 7th, November 2014

Оригинал: Гульельми А В «Форшоки и афтершоки сильных землетрясений в свете теории катастроф» УФН 185 415–429 (2015); DOI: 10.3367/UFNr.0185.201504f.0415

References (58) ↓ Cited by (18) Similar articles (8)

  1. Bolt B A Earthquakes (San Francisco: W.H. Freeman, 1978); Bolt B Zemletryaseniya (M.: Mir, 1981)
  2. Richter C F Elementary Seismology (San Francisco: W.H. Freeman, 1958); Rikhter Ch F Elementarnaya Seismologiya (M.: IL, 1963)
  3. Kasahara K Earthquake Mechanics (Cambridge: Cambridge Univ. Press, 1981); Kasakhara K Mekhanika Zemletryasenii (M.: Mir, 1986)
  4. Båth M Tectonophysics 2 483 (1965)
  5. Gutenberg B, Richter C F Bull. Seismol. Soc. Am. 34 185 (1944)
  6. Mogi K Earthquake Prediction (Tokyo: Academic Press, 1985); Mogi K Predskazanie Zemletryasenii (M.: Mir, 1988)
  7. Sobolev G A Osnovy Prognoza Zemletryasenii (M.: Nauka, 1993)
  8. Zav’yalov A D Priroda (5) 29 (2005)
  9. Dunbar P et al. Geomatics Natural Hazards Risk 2 305 (2011)
  10. Krylov A N Usp. Fiz. Nauk 1 101 (1918)
  11. Liit L D Usp. Fiz. Nauk 31 264 (1947); Leet L D Am. Scientist 34 198 (1946)
  12. Sytinskii A D Usp. Fiz. Nauk 111 367 (1973); Sytinskii A D Sov. Phys. Usp. 16 740 (1973)
  13. Buchachenko A L i dr. Usp. Fiz. Nauk 166 1023 (1996); Buchachenko A L et al. Phys. Usp. 39 959 (1996)
  14. Kuznetsov V V Usp. Fiz. Nauk 167 1001 (1997); Kuznetsov V V Phys. Usp. 40 951 (1997)
  15. Fridman A M, Polyachenko E V, Nasyrkanov N R Usp. Fiz. Nauk 180 303 (2010); Fridman A M, Polyachenko E V, Nasyrkanov N R Phys. Usp. 53 291 (2010)
  16. Buchachenko A L Usp. Fiz. Nauk 184 101 (2014); Buchachenko A L Phys. Usp. 57 92 (2014)
  17. Kalashnikov A G Tr. Geofiz. Inst. AN SSSR 25 180 (1954)
  18. Fraser-Smith A C et al. Geophys. Res. Lett. 17 1465 (1990)
  19. Sobolev G A, Ponomarev A V Fizika Zemletryasenii i Predvestniki (M.: Nauka, 2003)
  20. Hattori K Terr. Atmos. Oceanic Sci. 15 329 (2004)
  21. Pulinets S Terr. Atmos. Oceanic Sci. 15 413 (2004)
  22. Dovbnya B V J. Atmos. Solar-Terr. Phys. 69 1765 (2007)
  23. Hayakawa M Sensors 7 1141 (2007)
  24. Sobisevich L E, Sobisevich A L Vestnik Otd. Nauk Zemle RAN 2 202 (2010)
  25. Sobisevich L E, Kanonidi K Kh, Sobisevich A L Dokl. Ross. Akad. Nauk 435 548 (2010); Sobisevich L E, Kanonidi K Kh, Sobisevich A L Dokl. Earth Sci. 435 1627 (2010)
  26. Gul’el’mi A V, Zotov O D Fiz. Zemli (2) 84 (2012); Guglielmi A V, Zotov O D Izv. Phys. Solid Earth 48 171 (2012)
  27. Zotov O D, Gul’el’mi A V, Sobisevich A L Fiz. Zemli (6) 139 (2013); Zotov O D, Guglielmi A V, Sobisevich A L Izv. Phys. Solid Earth 49 882 (2013)
  28. Thom R SIAM Rev. 19 189 (1977)
  29. Gilmore R Catastrophe Theory For Scientists And Engineers (New York: Wiley, 1981); Gilmor R Prikladnaya Teoriya Katastrof (M.: Mir, 1984)
  30. Arnol’d V I Teoriya Katastrof (M.: Nauka, 1990); Arnold V I Catastrophe Theory (Berlin: Springer-Verlag, 1992)
  31. Zubkov L A, Romanov V P Usp. Fiz. Nauk 154 615 (1988); Zubkov L A, Romanov V P Sov. Phys. Usp. 31 328 (1988)
  32. Gul’el’mi A V Usp. Fiz. Nauk 158 605 (1989); Guglielmi A V Sov. Phys. Usp. 32 678 (1989)
  33. Guglielmi A V, Pokhotelov O A Geoelectromagnetic Waves (Bristol: Institute of Physics Publ., 1996)
  34. Guglielmi A, Zotov O arXiv:1207.0365
  35. 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)
  36. 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)
  37. Gul’el’mi A V i dr. Fiz. Zemli (4) 43 (2014); Guglielmi A V et al. Izv. Phys. Solid Earth 50 501 (2014)
  38. Horsthemke W, Lefever R Noise-Induced Transitions (Berlin: Springer-Verlag, 1984)
  39. Kramers H A Physica 7 284 (1940)
  40. Smelyanskiy V N, Dykman M I, Golding B Phys. Rev. Lett. 82 3193 (1999)
  41. Avsyuk Yu N Prilivnye Sily i Prirodnye Protsessy (M.: OIFZ RAN, 1996)
  42. Adushkin V V, Turuntaev S B Tekhnogennye Protsessy v Zemnoi Kore (opasnosti i Katastrofy) (M.: INEK, Institut dinamiki geosfer RAN, 2005)
  43. Sobolev G A Natural Hazards Earth Syst. Sci. 11 445 (2011)
  44. Gurevich A V, Tsedilina E E Sverkhdal’nee Rasprostranenie Korotkikh Radiovoln (M.: Nauka, 1979); Gurevich A V, Tsedilina E E Long Distance Propagation Of HF Radio Waves (Berlin: Springer-Verlag, 1985)
  45. Zharkov V N Fizika Zemnykh Nedr (M.: Nauka i obrazovanie, 2012)
  46. Gradshtein I S, Ryzhik I M Tablitsy Integralov, Summ, Ryadov i Proizvedenii (M.: Gosudarstvennoe izdatel’stvo fiziko-matematicheskoi literatury, 1962); Gradshteyn I S, Ryzhik I M Tables Of Integrals, Series And Products (New York and London: Academic Press, 1965)
  47. Babich V M, Buldyrev V S Asimptoticheskie Metody v Zadachakh Difraktsii Korotkikh Voln (M.: Nauka, 1972); Babič V M, Buldyrev V S Short-Wavelength Diffraction Theory: Asymptotic Methods (Berlin: Springer-Verlag, 1991)
  48. Zel’dovich Ya B, Novikov I D Stroenie i Evolyutsiya Vselennoi (M.: Nauka, 1975) p. 711
  49. Feinman R Usp. Fiz. Nauk 91 29 (1967); Feynman R P Science 153 699 (1966); Feynman R P "The development of the space-time view of quantum electrodynamics, Nobel Lecture, December 11, 1965" Preprint les Prix Nobel en 1965 (Stockholm: The Nobel Foundation, 1966)
  50. Aki K, Richards P G Quantitative Seismology (San Francisco: W.H. Freeman, 1980); Aki K, Richards P Kolichestvennaya Seismologiya (M.: Mir, 1983)
  51. Al’pert Ya L Usp. Fiz. Nauk 71 369 (1960); Al’pert Ya L Sov. Phys. Usp. 3 479 (1961)
  52. Samson J C, Yeung K L Planet. Space Sci. 34 1133 (1986)
  53. Schultz P H, Gault D E Moon 12 159 (1975)
  54. Blewett D T et al. Icarus 209 239 (2010)
  55. Planet. Space Sci. 59 1981 (2011)
  56. Smirnov V B Vulkanologiya Seismologiya (4) 93 (1997)
  57. Rogozhin E A Ross. Zhurn. Nauk Zemle 2 (1) 37 (2000)
  58. Gul’el’mi A V Usp. Fiz. Nauk 177 1257 (2007); Guglielmi A V Phys. Usp. 50 1197 (2007)

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