Fractal Analysis as a Tool to Detect Seismic Cycle Phases

  • Giuliana Rossi


This chapter concerns the study of the temporal evolution of seismicity in a particular region, through a time repeated fractal analysis of the spatial distribution of the seismic events. The technique is applied to the NE—Italy Friuli seismic region, where a local seismic network has been active since 1977 (OGS 1977–1981, 1982–1990). Fractal dimensions have been calculated at fixed time intervals of thirty days. The spectrum of the time series thus obtained reveals that in this region the seismicity is characterized by a sort of periodicity, with periods that vary from one year to about four years, superimposed onto a longer period term.

The comparison of these results with the geodetic measurements in the same region suggests a ‘periodic’ variation of the stress field as the cause of both phenomena, and confirms the usefulness of this kind of fractal analysis in the study of the seismic process.


Fractal Dimension Seismic Activity Seismic Event Fractal Analysis Aftershock Sequence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Anderson H, Jackson J (1987) Active tectonics of the Adriatic region. Geophys J R astron Soc 91: 937–983.CrossRefGoogle Scholar
  2. Bakun WH, Mc Evilly TV (1984) Recurrence Models and Parkfield, California, Earthquakes. J Geophys Res 89: 3051–3058.CrossRefGoogle Scholar
  3. Barbano M S, Kind R, Zonno G (1984) Focal parameters of some Friuli earthquakes (1976 – 1979) using complete theoretical seismograms. J Geophys 58: 175–182.Google Scholar
  4. Carulli GB, Nicolich R, Rebez A, Slejko D (1990) Seismotectonics of the Northwest external Dinarides. Tectonophysics 179: 11–25.CrossRefGoogle Scholar
  5. De Rubeis V, Dimitriu P, Papadimitriou E, Tosi P (1993) Recurrent patterns in the spatial behaviour of italian seismicity revealed by the fractal approach. Geophys Res lett 20: 1911–1914.CrossRefGoogle Scholar
  6. Ebblin C, Michelini A (1986) A principalparameteranalysis of aftershock sequences applied to the 1977 Friuli, Italy, sequence. Ann Geoph 4: 473–480.Google Scholar
  7. Eneva M, Pavlis G (1991) Spatial Distribution of Aftershocks and Background Seismicity in Central California. PAGEOPH 137: 35–61CrossRefGoogle Scholar
  8. Finetti I, Russi M, Slejko D (1979) The Friuli earthquake (1976–1977). Tectonophysics 53: 261–272.CrossRefGoogle Scholar
  9. Grassberger P (1983) On the fractal dimension of the Henon attractor. Phys Lett 97A: 224–230Google Scholar
  10. Hirata T, Satoh T, Ito K (1987) Fractal structure of spatial distribution of rnicrofracturing in rock. Geophys. J R astron Soc 90: 369–374.CrossRefGoogle Scholar
  11. Lindholm C, Havskov DJ, Seilevoll MA (1991) Periodicity in seismicity.examination of four catalogs. Tectonophysics 191: 155–164.CrossRefGoogle Scholar
  12. Mandelbrot BB (1977) Fractals: form, chance and dimensions. Freeman, San Francisco, pp 364.Google Scholar
  13. Mao WJ, Ebblin C, Zadro M (1989) Evidence for variations of mechanical properties in the Friuli area. Tectonophysics 170: 231–242.CrossRefGoogle Scholar
  14. Mao W J, Santero P, Zadro M (1990) Long - and middle-term behaviour of the tilt and strain variations in the decade following the 1976 earthquake in NE-Italy. PAGEOPH 132: 653–677.CrossRefGoogle Scholar
  15. Meredith PG, Main IG, Jones C, (1990) Temporal variations in seismicity during quasi-static and dynamic rock failure. Tectonophysics 175: 249–268.CrossRefGoogle Scholar
  16. Mogi K (1985) Earthquake prediction. Ac Press, Tokio.Google Scholar
  17. Nishenko SP, Bulland R (1987) Recurrence distribution for earthquakes forecasting. Bull Seism Soc Am 77: 1382–1399.Google Scholar
  18. O.G.S. 1977–1981. Bollettino della rete sismologica del Friuli Venezia-Giulia O.G.S., Trieste.Google Scholar
  19. O.G.S. 1982–1990. Bollettino della rete sismometrica dell’Italia Nord-Orientale, O.G.S., Trieste.Google Scholar
  20. Ouchi T, Uekawa T (1986) Statistical analysis on the spatial distribution of earthquakes-variation of the spatial distribution of earthquakes before and after large earthquakes. Phys Earth Planet Int 44: 211–225.CrossRefGoogle Scholar
  21. Rikitake T (1976) Earthquake prediction. Elsevier, Amsterdam.Google Scholar
  22. Rossi G (1990) Fractal dimension time variations in the Friuli (north-eastern Italy) seismic area. Boll Geof Teor Appl 127/128: 175–184.Google Scholar
  23. Rossi G, Ebblin C (1990) Space (3-D) and space-time (4-D) analysis of aftershock sequences:the Friuli (NE-Italy) case. Boll Geof Teor Appl 125: 37–49.Google Scholar
  24. Roth Ph, Pavoni N, Deichmann N (1992) Seismotectonics of the eastern Swiss Alps and evidence for precipitation-induced variations of seismic activity. Tectonophysics 207: 183–197.CrossRefGoogle Scholar
  25. Sadovski MA, Golubeva TV, Pisarenko VF, Snirman MG (1984) Characteristic dimensions of the rock and gerarchical properties of seismicity (on Russian). Fizika Zemli 2: 3–15.Google Scholar
  26. Scholtz CH (1990) The mechanics of earthquakes and faulting. Cambridge Univ Press, Cambridge.Google Scholar
  27. von Seggern DH (1982) Investigation of seismic precursors before major earthquakes and of the state of stress on fault planes. U.M.I. Dissertation Information, The Pennsylvania State University. Ph.D thesis.Google Scholar
  28. Westaway R (1990) Present-day kinematics of the plate boundary zone between Africa and Europe, from the Azores to the Aegean. Earth Planet Sc Lett 96: 393–406.CrossRefGoogle Scholar
  29. Xanthakis J (1982) Possible periodicities of the annually released global seismic energy (M > 7.9) during 1898–1971. Tectonophysics 81: T7-T14.CrossRefGoogle Scholar
  30. Zadro M (1992) Tilt and strain variations in Friuli, NE-Italy after the 1976 earthquake. in: Boschi E & Dragoni M (eds) Earthquake prediction, Il Cigno Galileo Galilei, Roma, 295–315.Google Scholar
  31. Zadro M, Rossi G (1991) Long-term strain variations in Friuli (NE-Italy) seismic area. Proc Intern Conf of earthquake prediction, state of the art, Strasbourg, pp 430–441.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Giuliana Rossi
    • 1
  1. 1.Istituto di Geodesia e GeofisicaUniversità di TriesteTriesteItaly

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