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.
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