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Fig. 8 | Progress in Earth and Planetary Science

Fig. 8

From: Progress and application of the synthesis of trans-oceanic tsunamis

Fig. 8

Period dependency of the three effects considered in the new tsunami propagation theory. a Dispersion relations of the tsunami phase velocity computed for various spherical Earth models, all with an ocean layer with \(d\) = 4 km. The dashed line represents a non-dispersive constant long-wave tsunami speed given by \(\omega /k=\sqrt{gd}\), where g = 9.822 m/s2. The dash-dotted line expresses the linear surface gravity wave given by \(\omega /k=\sqrt{g(\mathrm{tanh}kd)/k}\). The black line was computed for the anisotropic PREM with a 4 km deep ocean layer, not for an isotropic PREM. The blue, green, and red lines were computed for the modified PREM models; see Watada and Kanamori (2010) for the details of each modification. All normal modes were computed with the physical dispersion defined in the PREM model. b Difference of the three modified PREM phase velocities relative to the RREM with a 4 km deep ocean. The figure has been adapted and modified from Fig. 5 of Watada et al. (2014)

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