Abstract
Trapping of long water waves that are induced by submarine earthquakes and that attack circular islands is studied by applying a theoretical model (Tinti andVannini, 1994) that is based on the linear shallow water approximation. The solution is computed as the superposition of the eigenmodes of the water basin. The tsunami trapping is seen in terms of the capability of the source to excite the “trapped” eigenmodes of the basin. The bottom depth dependence around the island is shown to be quite important in determining the trapping capability of the island: a depth profile that is downwardly concave as the distance from the island coasts increases is substantially more efficient in amplifying the incoming waves and in trapping their energy than a profile exhibiting an upward concavity.
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References
Jonnson, I. G., Skovgaard, O., andBrink-Kjaer, O. (1976),Diffraction and Refraction Calculations for Waves Incident on an Island, J. Mar. Res.34, 469–496.
Lautenbacher, C. C. (1970),Gravity Wave Refraction by Islands, J. Fluid Mech.41, 655–672.
Longuet-Higgins, M. S. (1969),On the Trapping of Wave Energy Round Islands, J. Fluid Mechanics29, 781–821.
Mysak, L. A. (1968),Edge Waves on a Gently Sloping Continental Shelf of Finite Width, J. Mar. Res.,26, 24–33.
Pinettes, M. J. (1980),Diffraction d'une onde solitaire par une île circulaire, J. Eng. Math.,14, 207–218.
Satake, K. andShimazaki, K. (1987),Computation of Tsunami Waveforms by a Superposition of Normal Modes, J. Phys. Earth35, 409–414.
Tinti, S., andVannini, C. (1994),Theoretical Investigation on Tsunamis Induced by Seismic Faults near Ocean Islands, Marine Geodesy.17, 193–212.
Ursell, F. (1952),Edge Waves on a Sloping Beach, Proc. Roy. Soc.214, 79–97.
Yeh, H., Imamura, F., Synolakis, C., Tsuji, Y., Liu, P., andShi, S. (1993),The Flores Island Tsunamis, EOS, Trans. Am. Geophy. Union74, 369–373.
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Tinti, S., Vannini, C. Tsunami trapping near circular islands. PAGEOPH 144, 595–619 (1995). https://doi.org/10.1007/BF00874385
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DOI: https://doi.org/10.1007/BF00874385