Skip to main content

Geosystemics, Entropy and Criticality of Earthquakes: A Vision of Our Planet and a Key of Access

  • Conference paper
  • First Online:
Nonlinear Phenomena in Complex Systems: From Nano to Macro Scale

Abstract

Earth is a system of interconnected systems, whose complexity is far from being fully understood by a reductionist approach alone. In this chapter we introduce the concept of geosystemics and the use of the entropy to characterize some aspects of the phenomena under study. We will show how entropy and criticality of the system are central to better understand the most important general features of earthquakes . We will analyze two recent seismic sequences culminated with a main-shock (2009 L’Aquila and 2012 Emilia, both in Italy) to show the potential of this approach and to understand some important characteristics of the seismicity under scrutiny.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Baranger M (2001) Chaos, complexity and entropy: a physics talk for non-physicists. Wesleyan University Physics Dept. Colloquium

    Google Scholar 

  2. Båth M (1965) Lateral inhomogeneities in the upper mantle. Tectonophysics 2:483–514

    Article  ADS  Google Scholar 

  3. Bekenstein JD (2003) Information in the holographic universe. Sci Am 289(2):61

    Article  MathSciNet  Google Scholar 

  4. Bowman DD, Ouillon G, Sammis CG, Sornette A, Sornette D (1998) An observational test of the critical earthquake concept. J Geophys Res 103:24359–24372

    Article  ADS  Google Scholar 

  5. Cianchini G, De Santis A, Balasis G, Mandea M, Qamili E (2009) Entropy based analysis of satellite magnetic data for searching possible electromagnetic signatures due to big earthquakes. In: Proceedings of the 3rd IASME/WSEAS international conference on GEology and Seismology (GES’09), Cambridge, pp 29–35

    Google Scholar 

  6. Cianchini G, De Santis A, Barraclough DR, Wu LX, Qin K (2012) Magnetic transfer function entropy and the 2009 Mw6.3 L’Aquila earthquake (Central Italy). Nonlinear Process Geophys 19:401–409

    Article  ADS  Google Scholar 

  7. De Santis A (2009) Geosystemics. In: Proceedings of the 3rd IASME/WSEAS International conference on Geology and Seismology (GES’09), Cambridge, Feb 2009, pp 36–40

    Google Scholar 

  8. De Santis A, Barraclough DR (1997) A fractal interpretation of the topography of the scalar geomagnetic scalar potential at the core-mantle boundary. Pure Appl Geophys 149(4):747–760

    Article  ADS  Google Scholar 

  9. De Santis A, Qamili E (2008) Are we going toward a global planetary magnetic change? In: Proceedings of 1st WSEAS international conference on environmental and geological science and engineering (EG’08), Malta, Sept 2008, pp 149–152

    Google Scholar 

  10. De Santis A, Qamili E (2010) Shannon information of the geomagnetic field for the past 7000 years. Nonlinear Process Geophys 17:77–84

    Article  ADS  Google Scholar 

  11. De Santis A, Barraclough DR, Tozzi R (2002) Nonlinear variability in the geomagnetic secular variation of the last 150 years. Fractals 10(3):297–304

    Article  Google Scholar 

  12. De Santis A, Tozzi R, Gaya-Piqué L (2004) Information content and K-entropy of the present geomagnetic field. Earth Planet Sci Lett 218(3):269–275

    Article  ADS  Google Scholar 

  13. De Santis A, Cianchini G, Favali P, Beranzoli L, Boschi E (2011) The Gutenberg-Richter law and entropy of earthquakes: two case studies in Central Italy. Bull Seism Soc Am 101(3):1386–1395

    Article  Google Scholar 

  14. De Santis A, Cianchini G, Wu LX, Qin K (2013) Multiscale space-time focalization as precursory pattern of seismicity of the Emilia (Italy) major earthquakes in May 2012 (in preparation)

    Google Scholar 

  15. Di Mauro D, Armadillo E, Bozzo E, Cerv V, De Santis A, Gambetta M, Meloni A (1998) GDS (geomagnetic depth sounding) in Italy: applications and perspectives. Ann Geophys 41(3):477–490

    Google Scholar 

  16. Felzer KR, Brodsky EE (2006) Decay of aftershock density with distance indicates triggering by dynamic stress. Nature 441:735–737

    Article  ADS  Google Scholar 

  17. Gutenberg B, Richter CF (1944) Frequency of earthquakes in California. Bull Seism Soc Am 34:185–188

    Google Scholar 

  18. Jaumé SC, Sykes LR (1999) Evolving towards a critical point: a review of accelerating seismic moment – energy release prior to large and great earthquakes. Pure Appl Geophys 155:279–306

    Article  ADS  Google Scholar 

  19. Lorenz EN (1962) Deterministic nonperiodic flow. J Atmos Sci 20:130–141

    Article  ADS  Google Scholar 

  20. Lovelock J (2000) Gaia: a new look at life on earth. Oxford University Press, New York

    Google Scholar 

  21. Marsan D, Lengline O (2010) A new estimation of decays of aftershock density with distance to the mainshock. J Geophys Res 115:B09302. doi:10.1029/2009JB007119

    ADS  Google Scholar 

  22. Meyers RA (2009) Extreme environmental events. Springer, New York, p 1250

    Google Scholar 

  23. Mignan A (2012) Seismicity precursors to large earthquakes unified in a stress accumulation framework. Geophys Res Lett 39:L21308. doi:10.1029/2012GL053946

    ADS  Google Scholar 

  24. Mogi K (1969) Some features of recent seismic activity in and near Japan (2), Activity before and after great earthquakes. Bull Earthq Res Inst Univ Tokyo 47:395–417

    Google Scholar 

  25. Nott J (2006) Extreme events: a physical reconstruction and risk assessment. Cambridge University Press, Cambridge, p 297

    Book  Google Scholar 

  26. Omori F (1894) On the aftershocks of earthquakes. J Coll Sci Imper Univ Tokyo 7:111–200

    Google Scholar 

  27. Poincaré H (1905) Science and hypothesis. The William Scott, New York, p 244

    Google Scholar 

  28. Powell G, Percival I (1979) A spectral entropy method for distinguishing regular and irregular motion of Hamiltonian systems. J Phys A 12:2053–2071

    Article  ADS  Google Scholar 

  29. Pulinets S, Boyarchuk K (2004) Ionospheric precursors in ionosphere. Springer, Berlin, p 315

    Google Scholar 

  30. Qin K, Wu LX, De Santis A, Cianchini G (2012) Preliminary analysis of surface temperature anomalies preceding the two major 2012 Emilia (Italy) earthquakes. Ann Geophys 55(4):823–828

    Google Scholar 

  31. Reigber Ch, Luehr H, Schwintzer P (2002) CHAMP mission status. Adv Space Res 30(2):129–134

    Article  ADS  Google Scholar 

  32. Ruhl HA et al (2011) Societal need for improved understanding of climate change, anthropogenic impacts, and geo-hazard warning drive development of ocean observatories in European seas. Prog Oceanogr 91:1–33

    Article  ADS  Google Scholar 

  33. Shannon C (1948) A mathematical theory of communication. Bell Syst Tech J 27:379–423; 623–656

    Article  MathSciNet  Google Scholar 

  34. Signanini P, De Santis A (2012) Power-law frequency distribution of H/V spectral ratio of the seismic signals: evidence for a critical crust. Earth Planet Space 64:49–54

    Article  ADS  Google Scholar 

  35. Skinner BJ, Porter SC (1995) The blue planet: an introduction to earth system science. Wiley VCH, New York

    Google Scholar 

  36. Stanley HE (1971) Introduction to phase transitions and critical phenomena. Oxford University Press, New York

    Google Scholar 

  37. Takens F (1981) Detecting strange attractors in turbulence. In: Rand DA, Young LS (eds) Detecting strange attractors in turbulence. Dynamical systems and turbulence. Lecture notes in mathematics, vol 898. Springer, Berlin, pp 366–381

    Google Scholar 

  38. Turcotte DL (1997) Fractal and chaos in geology and geophysics, 2nd edn. Cambridge University Press, Cambridge/New York, p 348

    Book  Google Scholar 

  39. Turcotte DL, Schubert G (2002) Plate tectonics. In: Geodynamics, 2nd edn. Cambridge University Press, Cambridge/New York, pp 1–21

    Google Scholar 

  40. Utsu T (1961) A statistical study of the occurrence of aftershocks. Geophys Mag 30:521–605

    Google Scholar 

Download references

Acknowledgements

Some work was made in the frame of SAGA-4-EPR (Italian Foreign Office funded project) and during a visit of ADS at North Eastern University (China) invited by Professors Liu and Wu. Their hospitality has been appreciated very much. I thank also some of my collaborators (Gianfranco Cianchini and Enkelejda Qamili) for their assistance in making some analyses or graphs, and/or for inspiring some concepts or analyses. I finally thank the organizers of the NATO workshop on New Challenges in Complex System Physics, held on 20–24 May 2013 in Samarkand, Uzbekistan. I thank in particular Dr. Davron Matrasulov and his collaborators, for providing the right atmosphere of cooperation and stimulating discussion during the workshop.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Angelo De Santis .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

De Santis, A. (2014). Geosystemics, Entropy and Criticality of Earthquakes: A Vision of Our Planet and a Key of Access. In: Matrasulov, D., Stanley, H. (eds) Nonlinear Phenomena in Complex Systems: From Nano to Macro Scale. NATO Science for Peace and Security Series C: Environmental Security. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-8704-8_1

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-8704-8_1

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-8703-1

  • Online ISBN: 978-94-017-8704-8

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics