Abstract
A study of wave radiation by a piston bottom displacement, in a compressible ocean of constant depth, is carried out within the framework of a two-dimensional linear theory. Simple analytic expressions for the flow field, at a large distance from the disturbance, are derived. A realistic numerical example indicates that the Acoustic-Gravity waves, which significantly precede the tsunami, are expected to leave a significant signature on bottom-pressure records that should be considered for early detection of tsunamis.
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References
Nosov MA (1999) Tsunami generation in compressible ocean. Phys Chem Earth B 5: 437–441
Nosov MA (2000) Tsunami generation in a compressible ocean by vertical bottom motions. Izv Atmos Ocean Phys 36: 661–669
Nosov MA, Skachko SM (2001) Nonlinear tsunami generation mechanism. Nat Hazards Earth Syst Sci 1: 251–253
Nosov MA, Kolesov SV, Ostroukhova AV, Alekseev AB, Levin BW (2005) Elastic oscillations of the water layer in a tsunami source. Doklady Earth Sci 404(7): 1097–1100
Nosov MA, Kolesov SV (2007) Elastic oscillations of water column in 2003 Tokachi-oki tsunami source: in-situ measurements and 3-D numerical modeling. Nat Hazards Earth Syst Sci 1: 243–249
Miyoshi H (1954) Generation of the tsunami in compressible water (Part I). J Oceanogr Soc Jpn 10: 1–9
Sells CCL (1965) The effect of a sudden change in shape of the bottom of a slightly compressible ocean. Phil Trans R Soc Lond A 1092: 495–528
Yamamoto T (1982) Gravity waves and acoustic waves generated by submarine earthquakes. Soil dyn Earthq Eng 1: 75–82
Ohmachi T, Tsukiyama H, Matsumoto H (2001) Simulation of tsunami induced by dynamic displacement of seabed due to seismic faulting. Bull Seism Soc Am 91: 1889–1909
Berry MV (2005) Tsunami asymptotics. N J Phys 7, article number 129, 18 pp
Okal EA, Talandier J (1986) T-wave duration, magnitudes and seismic moment of an earthquake; application to tsunami warning. J Phys Earth 34: 19–42
Okal EA, Alasset P-J, Hyvernaud O, Schindelé F (2003) The deficient T waves of tsunami earthquakes. Geophys J Int 152(2): 416–432
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Stiassnie, M. Tsunamis and acoustic-gravity waves from underwater earthquakes. J Eng Math 67, 23–32 (2010). https://doi.org/10.1007/s10665-009-9323-x
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DOI: https://doi.org/10.1007/s10665-009-9323-x