Local behaviour of tsunamis

  • Kinjiro Kajiura
Part II — Tsunami Generation and Propagation
Part of the Lecture Notes in Physics book series (LNP, volume 64)


Scale parameters of large tsunamis suggest that non-linearity of waves is important only within a short distance of about a half wavelength from the shoreline.The Carrier-Greenspan transformation of the non-linear shallow-water equations on a uniformly sloping beach is elucidated to give a set of linear equations analogous to the linearized equations of the original non-linear equations, and an explicit form of the wave-breaking criterion is given.Although a weak bore (or an undular bore) may be formed close to shore if the head wave of a tsunami is a positive wave, there may be no bore formation at all if the negative wave forms the front.The maximum run-up of a tsunami is caused mostly by the non-breaking wave enhanced by the effect of bay resonance.


Bottom Slope Wave Steepness Progressive Wave Shallow Water Wave Negative Wave 
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Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • Kinjiro Kajiura
    • 1
  1. 1.Earthquake Research InstituteUniversity of TokyoTokyoJapan

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