[H-DS06] Tsunami and tsunami forecast

[HDS06-P01] A theoretical study on tsunamis generated by round-shape seabed deformation

*Chi-Min Liu¹ (1.Chienkuo Technology University)

Keywords:tsunami, Bessel function, waveform, wave evolution

Tsunamis may be the most catastrophic disaster in the world. They can be triggered by underwater earthquakes, landslides, volcano eruptions, even meteorite impacts. In general, most of tsunamis are generated naturally rather than artificially. In this paper, tsunamis induced by round-shape seabed deformation are theoretically studied. They are commonly caused by volcano eruptions or underwater explosions. The derivation for the analytic solution is firstly reviewed. As the Bessel functions appear in the solution, the following analyses and predictions for wave patterns, maximum wave height, and other wave properties becomes difficult from the theoretical viewpoint. Therefore, the mathematical technique which replaces the Bessel function by simple sine and cosine functions is introduced to acquire a novel form of wave solution. By applying this novel form of solution, many wave properties are clearly elucidated and the predication of wave propagation also becomes easier. Finally, a comparison of present solution with the solution of 1HD tsunami is also made to address their differences of waveforms not only at the initial stage but also at the evolution stage.