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  1. 防災科研関係論文

Scattering of linear long-wave tsunamis due to randomly fluctuating sea-bottom topography: coda excitation and scattering attenuation

https://nied-repo.bosai.go.jp/records/4758
https://nied-repo.bosai.go.jp/records/4758
9fff484f-5746-47b5-8e62-1dbd21ff052c
Item type researchmap(1)
公開日 2023-03-30
タイトル
言語 en
タイトル Scattering of linear long-wave tsunamis due to randomly fluctuating sea-bottom topography: coda excitation and scattering attenuation
言語
言語 eng
著者 Tatsuhiko Saito

× Tatsuhiko Saito

en Tatsuhiko Saito

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Takashi Furumura

× Takashi Furumura

en Takashi Furumura

Search repository
抄録
内容記述タイプ Other
内容記述 The scattering coefficient is one of the most fundamental parameters by which to quantify the scattering intensity for waves as a function of scattering angle and wave frequency. This study presents a derivation of the scattering coefficient for linear long-wave tsunami equations in randomly fluctuating sea-bottom topography using the first-order Born approximation. The scattering coefficient is directly related to the power spectrum density function of fluctuations in the bottom topography and shows a strong tsunami-wavelength dependence. The scattering regime is determined by the normalized wavenumber ak, where k is the tsunami wavenumber and a is the correlation distance of the fluctuating sea-bottom topography. The scattering pattern for small wavenumbers, ak << 1, is symmetric in the forward and backward directions, whereas the pattern for large wavenumbers, ak >> 1, shows small-angle scattering around the forward direction. Based on the theoretically derived scattering coefficient, we evaluate the excitation of tsunami coda and leading-wave attenuation as a function of the normalized wavenumber. The coda energy for small wavenumber ak << 1 is proportional to k(3), whereas the energy for large wavenumber ak >> 1 is proportional to k(-p+3) when the power spectral density function of the sea-bottom fluctuation is characterized by a power law with the exponent of -p in large wavenumber. The scattering attenuation represented by the inverse of the quality factor (Sc)Q(-1) is proportional to k(2) for small wavenumber ak << 1, whereas (Sc)Q(-1) is proportional to k(-p+2) for large wavenumber ak >> 1.
言語 en
書誌情報 en : GEOPHYSICAL JOURNAL INTERNATIONAL

巻 177, 号 3, p. 958-965, 発行日 2009-06
出版者
言語 en
出版者 WILEY-BLACKWELL PUBLISHING, INC
ISSN
収録物識別子タイプ ISSN
収録物識別子 0956-540X
DOI
関連識別子 10.1111/j.1365-246X.2009.03988.x
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