Building a Pre-Calculated Quick Forecast System for Tsunami Run-Up Height

The main purpose of this study is to build a run-up database using an analytical Green's function of 1D fully nonlinear shallow water equations over a uniform constant slope. The total mechanical energy, tsunami run-up height and inundation distance can be quickly derived once a submarine earthquake occurs. Only fast fourier transformation (FFT), multiplication and superposition are employed in the present algorithm.

The in situ investigations of the 2004 Indian Ocean Tsunami and 2011 Tohoku Tsunami are used to validate the present methodology. Most calculated run-up heights are on the safe side and the inundation distance is reasonable. The computational procedure can be efficiently finished within a few seconds so that complete tsunami information can be provided after integrating the existing numerical Green's function database.