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Scale invariance of shallow seismicity and the prognostic signs of earthquakes


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

The results of seismic investigations on the basis of methods of non equilibrium processes theory and self-similarity theory have showed that a shallow earthquake can be treated as a critical transition that occurs during the evolution of a nonequilibrium seismogenic system and is preceded by such phenomenon as the scale invariance of spatiotemporal seismic structures. The implication is that seismicity can be interpreted as a purely multifractal process. Modeling the focal domain as a fractal cluster of microcracks allows the prognostic signs of earthquakes actually observed in seismic data to be formulated. Seismic scaling permits the state of a seismogenic system to be monitored as the system approaches instability.

Fulltext is available at IOP
Keywords: seismicity, multifractal measure, prognostic signs of earthquakes, seismic kinetics, scaling, fault field, seismic field, scaling correspondence
PACS: 91.30.−f, 91.30.Px (all)
DOI: 10.3367/UFNe.2016.09.037970
URL: https://ufn.ru/en/articles/2017/5/b/
Citation: Stakhovsky I R "Scale invariance of shallow seismicity and the prognostic signs of earthquakes" Phys. Usp. 60 472–489 (2017)
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Received: 5th, July 2016, revised: 8th, September 2016, 20th, September 2016

Оригинал: Стаховский И Р «Масштабная инвариантность коровой сейсмичности и прогностические признаки землетрясений» УФН 187 505–524 (2017); DOI: 10.3367/UFNr.2016.09.037970

References (115) ↓ Cited by (4) Similar articles (20)

  1. Sobolev G A Osnovy Prognoza Zemletryasenii (M.: Nauka, 1993)
  2. Sobolev G A Kontseptsiya Predskazuemosti Zemletryasenii na Osnove Dinamiki Seismichnosti pri Triggernom Vozdeistvii (M.: IFZ RAN, 2011)
  3. Kostrov B V Mekhanika Ochaga Tektonicheskogo Zemletryaseniya (M.: Nauka, 1975); Per. na angl. yaz., Kostrov B V Principles Of Earthquake Source Mechanics (Cambridge: Cambridge Univ. Press, 1988)
  4. Zhurkov S N Vestnik AN SSSR (3) 46 (1968)
  5. Gilman J J, Tong H C J. Appl. Phys. 42 3479 (1971)
  6. Buchachenko A L Usp. Fiz. Nauk 184 101 (2014); Buchachenko A L Phys. Usp. 57 92 (2014)
  7. Arnol’d V I Teoriya Katastrof (M.: Nauka, 1990); Per. na angl. yaz., Arnold V I Catastrophe Theory (Berlin: Springer-Verlag, 1992)
  8. Thompson J M T Instabilities And Catastrophes In Science And Engineering (Chichester: Wiley, 1982); Per. na russk. yaz., Tompson Dzh M T Neustoichivosti i Katastrofy v Nauke i Tekhnike (M.: Mir, 1985)
  9. Mandelbrot B PAGEOPH 131 5 (1989)
  10. Schertzer D, Lovejoy S Physica A 185 187 (1992)
  11. Prigogine I The End Of Certainty. Time, Chaos, And The New Laws Of Nature (New York: The Free Press, 1997); Per. na russk. yaz., Prigozhin I Konets Opredelennosti. Vremya, Khaos i Novye Zakony Prirody (M.-Izhevsk: RKhD, 1999)
  12. Prigogine I From Being To Becoming. Time And Complexity In The Physical Sciences (San Francisco: W.H. Freeman and Co., 1980); Per. na russk. yaz., Prigozhin I Ot Sushchestvuyushchego k Voznikayushchemu. Vremya i Slozhnost’ v Fizicheskikh Naukakh (M.: Editorial URSS, 2002)
  13. Gul’el’mi A V Usp. Fiz. Nauk 185 415 (2015); Guglielmi A V Phys. Usp. 58 384 (2015)
  14. Bak P, Tang C J Geophys. Res. 94 635 (1989)
  15. Grassberger P Phys. Lett. A 97 227 (1983)
  16. Meneveau C, Sreenivasan K R Phys. Rev. Lett. 59 1424 (1987)
  17. Vicsek T, Family F Phys. Rev. Lett. 52 1669 (1984)
  18. Kohomoto M Technical Report of ISSP. Ser. A No. 2014 (Tokyo: Univ. of Tokyo, 1988)
  19. Kagan Y Y Nonlin. Sci. Today 2 8 (1992)
  20. Prigogine I Acad. R. Belg. Bull. Cl. Sci. 31 600 (1945)
  21. Klimontovich Yu L Pis’ma ZhTF 9 1412 (1983); Klimontovich Yu L Sov. Tech. Phys. Lett. 9 606 (1983)
  22. Bak P, Tang C, Wiesenfeld K Phys. Rev. A 38 364 (1988)
  23. Grinstein G Scale Invariance, Interfaces, And Non-Equilibrium Dynamics (NATO ASI Series, Ser. B) Vol. 344 (Eds A McKane et al.) (New York: Plenum Press, 1995) p. 261
  24. Caruso F et al. Phys. Rev. E 75 055101(R) (2007)
  25. Zhang Y-C Phys. Rev. Lett. 63 470 (1989)
  26. Sornette A, Sornette D Europhys. Lett. 9 197 (1989)
  27. Yang X, Du S, Ma J Phys. Rev. Lett. 92 228501 (2004)
  28. Steacy S J et al. Geophys. Res. Lett. 23 383 (1996)
  29. Pruessner G Self-Organised Criticality: Theory, Models, And Characterisation (Cambridge: Cambridge Univ. Press, 2012)
  30. Dhar D Physica A 369 29 (2006)
  31. Mandelbrot B B The Fractal Geometry Of Nature (San Francisco, Calif.: W.H. Freeman, 1982)
  32. Frisch U, Parisi G Turbulence And Predictability In Geophysical Fluid Dynamics And Climate Dynamics (Proc. Of The Intern. School Of Physics "Enrico Fermi", Course 88, Eds M Ghil, R Benzi, G Parisi) (Amsterdam: North-Holland, 1985) p. 84
  33. Halsey T C et al. Phys. Rev. A 33 1141 (1986)
  34. Schertzer D, Lovejoy S J. Geoph. Res. D 92 9693 (1987)
  35. Lovejoy S, Schertzer D Water Resour. Res. 21 1233 (1985)
  36. Wilson K G Rev. Mod. Phys. 55 583 (1983)
  37. Chhabra A B et al. Phys. Rev. A 40 5284 (1989)
  38. Atmanspacher H, Scheingraber H, Wiedenmann G Phys. Rev. A 40 3954 (1989)
  39. Gibbs J W Trans. Connect. Acad. (2) 382 (1873); Per. na russk. yaz., Gibbs Dzh V Termodinamika, Statisticheskaya Fizika (M.: Nauka, 1982) p. 40
  40. Bale H D, Schmidt P W Phys. Rev. Lett. 53 596 (1984)
  41. Jouini M S, Vega S, Mokhtar E A Nonlin. Process. Geophys. 18 941 (2011)
  42. Radlinski A P et al. J. Appl. Crystallogr. 33 860 (2000)
  43. Sen D, Mazumder S, Tarafdar S J. Mater. Sci. 37 941 (2002)
  44. Wong P, Howard J, Lin J-S Phys. Rev. Lett. 57 637 (1986)
  45. Hirata T, Satoh T, Ito K Geophys. J. Int. 90 369 (1987)
  46. Chelidze T, Gueguen Y Int. J. Rock Mech. Mining Sci. 27 223 (1990)
  47. Feng X-T, Seto M Geophys. J. Int. 136 275 (1999)
  48. Johansen A, Sornette D Eur. Phys. J. B 18 163 (2000)
  49. Turcotte D L, Newman W L, Shcherbakov R Geophys. J. Int. 152 718 (2003)
  50. Sammis C G, Biegel R L PAGEOPH 131 255 (1989)
  51. Badri A et al. Acta Stereol. 13 183 (1994)
  52. Shao S-M, Zou J Ch Acta Seismol. Sin. 9 485 (1996)
  53. Krylov S S, Bobrov N Yu Fraktaly v Geofizike (SPb.: Izd-vo Sankt-Peterburgskogo un-ta, 2004)
  54. Hirata T PAGEOPH 131 157 (1989)
  55. Vignes-Adler M, Le Page A, Adler P M Tectonophysics 196 69 (1991)
  56. Stakhovsky I R, Belousov T P J. Earthquake Prediction Res. 5 505 (1996)
  57. Stakhovsky I R Basement Tectonics 11. Europe And Other Regions (Proc. Of The Intern. Conf. On Basement Tectonics, Vol. 5, Eds O Oncken, C Janssen) (Dordrecht: Kluwer Acad., 1996) p. 101
  58. Ouillon G, Castaing C, Sornette D J. Geophys. Res. 101 5477 (1996)
  59. Tessier Y, Lovejoy S, Schertzer D J. Appl. Meteorol. 32 223 (1993)
  60. Boufadel M C et al. Water Resour. Res. 36 3211 (2000)
  61. Kagan Y Y, Knopoff L Geophys. J. Int. 62 303 (1980)
  62. Geilikman M B, Golubeva T V, Pisarenko V F Dokl. Akad. Nauk SSSR 310 1335 (1990)
  63. Hirabayashi T, Ito K, Yoshii T Math. Seismology 40 102 (1990)
  64. Ito K, Matsuzaki M J. Geophys. Res. 95 6853 (1990)
  65. Hooge C et al. Fractals 2 445 (1994)
  66. Lei X, Kusunose K Geophys. J. Int. 139 754 (1999)
  67. Godano C et al. Geophys. J. Int. 136 99 (1999)
  68. Carpineri A, Chiaia B, Invernizzi S Chaos Solitons Fractals 14 917 (2002)
  69. Zamani, Agh-Atabai M J. Sci. Technol. 39 521 (2011)
  70. Pastén D et al. Phys. Rev. E 84 066123 (2011)
  71. Telesca L, Lapenna V, Macchiato M Physica A 354 629 (2005)
  72. Telesca L, Toth L Physica A 448 21 (2016)
  73. Godano C, Caruso V Geophys. J. Int. 121 385 (1995)
  74. Godano C, Alonzo M L, Vilardo G PAGEOPH 149 375 (1997)
  75. Wang J-H J. Geol. Soc. China 39 117 (1996)
  76. Stakhovskii I R Fiz. Zemli (4) 41 (2000)
  77. Telesca L, Lapenna V Tectonophysics 423 (1-4) 115 (2006)
  78. Wilson K G Sci. Am. 241 (2) 158 (1979)
  79. Louis E, Guinea F Europhys. Lett. 3 871 (1987)
  80. Louis E, Guinea F Physica D 38 235 (1989)
  81. Hassold G N, Srolovitz D J Phys. Rev. B 39 9273 (1989)
  82. Hinrichsen E L, Hansen A, Roux S Europhys. Lett. 8 1 (1989)
  83. Herrmann H J Physica A 163 359 (1990)
  84. Stakhovskii I R Fiz. Zemli (11) 11 (1998)
  85. Scheidegger A E Can. J. Phys. 35 4 (1957)
  86. Turcotte D L Fractals And Dynamic Systems In Geoscience (Ed. J H Kruhl) (Berlin: Springer-Verlag, 1994) p. 7
  87. Turcotte D L Rep. Prog. Phys. 62 1377 (1999)
  88. Obukhov A J. Geophys. Res. 67 3011 (1962)
  89. Kolmogorov A N J. Fluid Mech. 13 82 (1962)
  90. Stakhovskii I R Fiz. Zemli (12) 35 (2007); Stakhovsky I R Izv. Phys. Solid Earth 43 1012 (2007)
  91. Kulabukhov S Yu Diskretnaya Matematika (Taganrog: Min. obshch. prof. obr. RF, 2001)
  92. Stakhovskii I R Fiz. Zemli (11) 38 (2004); Stakhovsky I R Izv. Phys. Solid Earth 40 927 (2004)
  93. Stakhovskii I R Fiz. Zemli (7) 21 (2001); Stakhovsky I R Izv. Phys. Solid Earth 37 547 (2001)
  94. San’kov V A i dr. Razlomy i Seismichnost’ Severo-Muiskogo Geodinamicheskogo Poligona (Otv. red. S I Sherman) (Novosibirsk: Nauka, 1991)
  95. Scholz C H Spontaneous Formation Of Space-Time Structures And Criticality (NATO ASI Series C) Vol. 349 (Eds T Riste, D Sherrington) (Dordrecht: Kluwer Acad., 1991) p. 41
  96. Reisner G I i dr. "Tipizatsiya zemnoi kory i sovremennye geologicheskie protsessy" Rezul’taty Kompleksnogo Izucheniya Tektonosfery (M.: IFZ RAN, 1993) p. 1
  97. Zhurkov S N Int. J. Fracture Mech. 1 311 (1965)
  98. Stiller W Arrhenius Equation And Non-Equilibrium Kinetics: 100 Years Arrhenius Equation (Leipzig: BSB B.G. Teubner, 1989); Per. na russk. yaz., Shtiller V Uravnenie Arreniusa i Neravnovesnaya Kinetika (M.: Mir, 2000)
  99. Zhurkov S N Fizicheskie Protsessy v Ochagakh Zemletryasenii (Otv. red. M A Sadovskii, V I Myachkin) (M.: Nauka, 1980) p. 78
  100. Shamina O G Model’nye Issledovaniya Fiziki Ochaga Zemletryasenii (M.: Nauka, 1981)
  101. Sobolev G A, Kol’tsov A V Krupnomasshtabnoe Modelirovanie Podgotovki i Predvestnikov Zemletryasenii (M.: Nauka, 1988)
  102. Stakhovskii I R Fiz. Zemli (7) 58 (2008); Stakhovsky I R Izv. Phys. Solid Earth 44 570 (2008)
  103. Gabrielov A et al. Geophys. J. Int. 143 427 (2000)
  104. Zaliapin I, Keilis-Borok V, Ghil M J. Stat. Phys. 111 815 (2003)
  105. Zaliapin I, Keilis-Borok V, Ghil M J. Stat. Phys. 111 839 (2003)
  106. Tomilin N G, Kuksenko V S Fiz. Zemli (10) 16 (2004)
  107. Stakhovskii I R Fiz. Zemli (2) 74 (2002); Stakhovsky I R Izv. Phys. Solid Earth 38 156 (2002)
  108. Stakhovskii I R Fiz. Zemli (11-12) 47 (2012); Stakhovsky I R Izv. Phys. Solid Earth 48 829 (2012)
  109. Takens F Lecture Notes Math. 898 366 (1981)
  110. Stakhovskii I R Fiz. Zemli (5) 120 (2016); Stakhovsky I R Izv. Phys. Solid Earth 52 740 (2016)
  111. Gardner J K, Knopoff L Bull. Seismol. Soc. Am. 64 1363 (1974)
  112. Stakhovskii I R Put’ Nauki (2) 134 (2016)
  113. Sadovskii M A Dokl. Akad. Nauk SSSR 275 1087 (1984)
  114. Kolesnichenko A V, Marov M Ya Preprint №75 (M.: IPM im. M.V. Keldysha, 2014)
  115. Mikhailov E F, Vlasenko S S Usp. Fiz. Nauk 165 263 (1995); Mikhailov E F, Vlasenko S S Phys. Usp. 38 253 (1995)

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