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Sound signals of tsunamis from a slender fault

Mei, Chiang C. and Kadri, Usama 2018. Sound signals of tsunamis from a slender fault. Journal of Fluid Mechanics 836 , pp. 352-373. 10.1017/jfm.2017.811

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Since the speed of sound in water is much greater than that of the surface gravity waves, acoustic signals can be used for early warning of tsunamis. We simplify existing works by treating the sound wave alone without the much slower gravity wave, and derive a two-dimensional theory for signals emanating from a fault of finite length. Under the assumptions of a slender fault and constant sea depth, the asymptotic technique of multiple scales is applied to obtain analytical results. The modal envelopes of the two-dimensional sound waves are found to be governed by the Schrödinger equation and are solved explicitly. An approximate method is described for the inverse estimation of fault properties from the pressure record at a distant hydrophone.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Cambridge University Press (CUP)
ISSN: 0022-1120
Date of Acceptance: 6 November 2017
Last Modified: 19 Jul 2019 13:37

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