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Tsunami generation

Published online by Cambridge University Press:  29 March 2006

R. D. Braddock ,
P. Van Den Driessche  and
G. W. Peady
R. D. Braddock
Affiliation:
Mathematics Department, University of Queensland, St. Lucia, Queensland 4067
P. Van Den Driessche
Affiliation:
Department of Mathematics, University of Victoria, British Columbia
G. W. Peady
Affiliation:
Department of Mathematics and Quantitative Methods, Mitchell College of Advanced Education, Bathurst 2795, New South Wales
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Abstract

The problems of tsunami generation are treated by standard integral-transform and modified stationary-phase methods to yield asymptotic approximations to the surface disturbances. The effects of asymmetry are considered in a one-dimensional ocean. Series representations are used to produce sets of normal-mode oscillations in a two-dimensional ocean, and the magnitudes of the wave front and wave train are discussed in relation to the asymmetry of the generating region.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 59 , Issue 4 , 7 August 1973 , pp. 817 - 828
Copyright
© 1973 Cambridge University Press

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References

Garrier, G. F. 1971 The dynamics of tsunamis. Mathematical Problems in the Geophysical Sciences. Lectures in Applied Mathematics, vol. 13, pp. 157–187. Am. Math. Soc.
Copson, E. T. 1965 Asymptotic Expansions. Cambridge University Press.
Erdélyi, A. W., Magnus, W., Oberhettinger, F. & Tricomi, F. C. 1954 Tables of Integral Transforms, vol. 1. McGraw-Hill.
Hatori, T. 1970 Dimensions and geographic distribution of tsunami sources near Japan. In Tsunamis in the Pacific Ocean (ed. W. M. Adams), pp. 69–84. Honolulu: East-West Press.
Hwang, L.-S. & Divoky, D. 1970 Tsunami generation J. Geophys. Res. 75, 6802–6817.Google Scholar
Iida, K., Cox, D. C. & Pararas-Carayannis, G. 1967 Preliminary catalogue of tsunamis occurring in the Pacific Ocean. Hawaii Inst. Geophys., Data Rep. 5, H1G-67–10.Google Scholar
Kajiura, K. 1963 The leading wave of a tsunami Bull. Earthq. Res. Inst. Tokyo, 41, 535–571.Google Scholar
Sansone, G. 1959 Orthogonal Functions. Interscience.
Titchmarsh, E. C. 1937 Introduction to the Theory of Fourier Integrals. Oxford University Press.
Van Den Driessche, P. & Braddock, R. D. 1972a On the elliptic generating region of a tsunami J. Mar. Res. 30, 217–226.Google Scholar
Van Den Driessche, P. & Braddock, R. D. 1972b Asymptotic evaluation of integrals occurring in linear wave theory Bull. Austr. Math. Soc. 7, 121–130.Google Scholar
Van Dorn, W. G. 1965 Tsunamis. In Advances in Hydroscience, vol. 2, pp. 1–48. Academic.
Webb, L. M. 1962 Theory of waves generated by surface and sea bed disturbances - nature of tsunamis (ed. B. W. Wilson). Nat. Engng Sci. Co. Tech. Rep. SN57–2.Google Scholar