JpGU-AGU Joint Meeting 2020

Presentation information

[E] Poster

H (Human Geosciences ) » H-DS Disaster geosciences

[H-DS08] Tsunami and tsunami forecast

convener:Hiroaki Tsushima(Meteorological Research Institute, Japan Meteorological Agency), Tatsuya Kubota(National Research Institute for Earth Science and Disaster Resilience)

[HDS08-P13] Analytic solutions of seismic tsunamis’ initial waveforms: a mathematical study

*Chi-Min Liu1 (1.Department of Civil Engineering, Chienkuo Technology University)

Keywords:tsunami, initial waveforms, analytic solutions

Analytical solutions of initial waveforms of seismic tsunamis are mathematically derived in this paper. Using the linear potential theory, solutions of integration forms for three fundamental seabed deformations, which include rectangular, sine and cosine liftings, are firstly solved with the help of integral transforms. Next, for the initial waveform that means the wave profile at the time when the seabed deformation stops, analytic (closed-form) solutions are derived by simplifying previous solutions with some mathematical techniques. These analytic solutions constitute an important basis which provides the accurate initial waveform and conditions for performing the subsequent numerical calculations.