Pure and Applied Geophysics

, Volume 172, Issue 3–4, pp 985–1002 | Cite as

Tsunami Generation Above a Sill

  • Themistoklis S. Stefanakis
  • Frédéric Dias
  • Costas Synolakis
Article

Abstract

The generation of surface waves by seafloor displacement is a classic problem that arises in the study of tsunamis. The generation of waves in a two-dimensional domain of uniform depth by uplift or subsidence of a portion of a flat bottom boundary has been elegantly studied by Hammack (Tsunamis: a model of their generation and propagation, Ph.D. thesis, California Institute of Technology, 1972), for idealized motions. The physical problem of tsunami generation is more complex; even when the final displacement is known from seismic analysis, the deforming seafloor includes relief features such as mounts and trenches. Here, following Kajiura (J Oceanogr Soc Jpn 28:260–277, 1972), we investigate analytically the effect of bathymetry on the surface wave generation, by solving the forced linear shallow water equation. While Kajiura’s geometry consisted of a step-type bottom bathymetry with a rectangular uplift to understand the effect of the continental shelf on tsunami generation, our model bathymetry consists of an uplifting cylindrical sill initially resting on a flat bottom, a geometry which helps evaluate the effect of seamounts on tsunami generation. We find that as the sill height increases, partial wave trapping reduces the wave height in the far field, while amplifying it above the sill.

Keywords

Tsunamis tsunami generation 

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Copyright information

© Springer Basel 2015

Authors and Affiliations

  • Themistoklis S. Stefanakis
    • 1
    • 2
  • Frédéric Dias
    • 1
    • 2
  • Costas Synolakis
    • 3
  1. 1.CMLA, ENS Cachan, CNRSCachanFrance
  2. 2.UCD School of Mathematical SciencesUniversity College DublinDublin 4Ireland
  3. 3.Viterbi School of EngineeringUniversity of Southern CaliforniaLos AngelesUSA

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