Natural Hazards

, Volume 4, Issue 2–3, pp 257–266 | Cite as

Tsunami ascending in rivers as an undular bore

  • Yoshinobu Tsuji
  • Takashi Yanuma
  • Isao Murata
  • Chizuru Fujiwara
Article

Abstract

At time of the 1983 Japan Sea tsunami, waves in the form of a bore ascended many rivers. In some cases, bores had the form of one initial wave with a train of smaller waves, and in other cases, such a wave train did not appear and only a step with a flat water surface behind was observed. In the present study, it is clarified that both undular-type and nonundular-type bores can be recognized as solutions of the KdV-Burger's equation which was introduced by Johnson in 1972. Numerically obtained analytical solutions and results of laboratory experiments are compared.

Key words

Bore undular bore hydraulic jump KdV-Burgers equation nonlinear and dispersive wave with energy dissipation riverwall planning breaking waves phase plane method Runge-Kutta-Gill's method amplification of tsunami soliton dispersion 

References

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Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • Yoshinobu Tsuji
    • 1
  • Takashi Yanuma
    • 1
  • Isao Murata
    • 1
  • Chizuru Fujiwara
    • 1
  1. 1.Earthquake Research InstituteUniversity of TokyoBunkyo-Ku, TokyoJapan

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