Advertisement

Propagation of Tsunami and Seismic Waves

  • Tatsuhiko Saito
Chapter
Part of the Springer Geophysics book series (SPRINGERGEOPHYS)

Abstract

Tsunamis and seismic waves are generated by earthquakes. We often reflexively discriminate the waves into tsunami and seismic waves. However, what is the difference between tsunami and seismic waves? What is a tsunami? This is a very simple but meaningful question. This chapter investigates the propagation process of tsunami and seismic waves. Section 3.1 introduces the general mathematics that is commonly used in wave theory. The basic theory involves continuum mechanics. Section 3.2 illustrates how we define tsunami. The fundamental nature of tsunami including the dispersion, particle motion, velocity distribution, and energy flux is theoretically investigated. Section 3.3 contains an investigation of seismic waves based on elastic dynamics. We define P, S, and Rayleigh waves. Also, ocean acoustic waves are classified as seismic wave. In Section 3.4, we summarize the similarities and differences between tsunami and seismic waves.

Keywords

Tsunami Seismic wave Ocean acoustic wave Equation of motion Constitutive law 

References

  1. Aki K, Richards P (2002) Quantitative seismology. University Science Books, Mill ValleyGoogle Scholar
  2. Fine IV, Kulikov EA, Cherniawsky JY (2013) Japan’s 2011 tsunami: characteristics of wave propagation from observations and numerical modelling. Pure Appl Geophys 170(6–8):1295–1307.  https://doi.org/10.1007/s00024-012-0555-8CrossRefGoogle Scholar
  3. Hayashi Y (2010) Empirical relationship of tsunami height between offshore and coastal stations. Earth Planets Space 62(3):269–275.  https://doi.org/10.5047/eps.2009.11.006CrossRefGoogle Scholar
  4. Matsumoto H, Inoue S, Ohmachi T (2012) Dynamic response of bottom water pressure due to the 2011 Tohoku Earthquake. J Disaster Res 7(7):468–475.  https://doi.org/10.20965/jdr.2012.p0468CrossRefGoogle Scholar
  5. Nakamura K (1961) Velocity of long gravity waves in the ocean, Science Reports of Tohoku University, Ser. 5. Geophysics 13(3):164–173Google Scholar
  6. Nosov MA, Kolesov SV (2007) Elastic oscillations of water column in the 2003 Tokachi-oki tsunami source: in-situ measurements and 3-D numerical modelling. Nat Hazards Earth Syst Sci 7:243–249CrossRefGoogle Scholar
  7. Okal EA (1982) Mode-wave equivalence and other asymptotic problems in tsunami theory. Phys Earth Planet Inter 30(1):1–11.  https://doi.org/10.1016/0031-9201(82)90123-6CrossRefGoogle Scholar
  8. Pedlosky J (2003) Waves in the ocean and atmosphere: introduction to wave dynamics. Springer, BerlinCrossRefGoogle Scholar
  9. Saito M (2009a) The theory of seismic wave propagation. (in Japanese. University of Tokyo Press, TokyoGoogle Scholar
  10. Saito M (2009b) The theory of seismic wave propagation. TERRAPUB, Tokyo. http://www.terrapub.co.jp
  11. Saito T (2017) Tsunami generation: validity and limitations of conventional theories. Geophys J Int 210(3):1888–1900.  https://doi.org/10.1093/gji/ggx275CrossRefGoogle Scholar
  12. Sato H, Fehler MC, Maeda T (2012) Seismic wave propagation and scattering in the heterogeneous Earth: second edition. Springer, BerlinCrossRefGoogle Scholar
  13. Shearer PM (2009) Introduction to seismology. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  14. Snieder R, van Wijk K (2015) A guided tour of mathematical methods for the physical sciences. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  15. Ward SN (1980) Relationships of tsunami generation and an earthquake source. J Phys Earth 28:441–474CrossRefGoogle Scholar
  16. Watada S, Kusumoto S, Satake K (2014) Travel time delay and initial phase reversal of distant tsunamis coupled with the self-gravitating elastic Earth. J Geophys Res Solid Earth 119(5):4287–4310.  https://doi.org/10.1002/2013JB010841CrossRefGoogle Scholar

Copyright information

© Springer Japan KK, part of Springer Nature 2019

Authors and Affiliations

  • Tatsuhiko Saito
    • 1
  1. 1.National Research Institute for Earth Science and Disaster ResilienceTsukubaJapan

Personalised recommendations