Near- and far-field tsunami amplitudes by a moving curvilinear stochastic submarine slide shape based on linearized water wave theory

Abstract

The process of tsunami generation caused by a moving curvilinear stochastic submarine landslide with constant and variable velocity, driven by two Gaussian white noise processes in the x- and y-directions is investigated. Generation of tsunami is described initially by a rapid curvilinear down and uplift faulting, then propagating to a significant length to produce curvilinear stochastic three-dimensional model represented by a depression slump, and a displaced accumulation slide model and finally represented by the movement of the accumulation block slide. The moving curvilinear stochastic block slide acts to reduce wave focusing. This model is used to study the tsunami amplitude under the effect of the noise intensities and times of the curvilinear stochastic source model. The increase of the normalized noise intensities leads to an increase in oscillations and amplitude in the free surface elevation. Tsunami waveforms using linearized water wave theory for uniform water depth are analyzed analytically by transform methods (Laplace in time and Fourier in space). The normalized peak amplitude is analyzed as a function of the propagation length, width, noise intensities of the source model and the water depth. Tsunami propagation waveform is demonstrated after the slide stops moving at different propagation times.