Fluctuation analysis of sea surface model

The effectiveness of remote marine monitoring systems including remote bathymetric measurements essential for the sea navigation, risk assessment and forecasting of anomalous phenomena requires the development of adequate sea surface models. In this article we propose a novel approach to the sea surface measurements for different sea depth, as well as wind speed and direction. We have performed computer simulations of sea wave dynamics for seven directional wave spectra and JONSWAP energy spectrum. Two-dimensional sea wave spectra have been estimated. In addition, we analyzed the range and the directional fluctuation functions of the respective models using detrended fluctuation analysis. Our results indicate that the range fluctuation functions exhibit two asymptotic regimes separated by a characteristic crossover point that is explicitly determined by the sea depth and the wind speed, respectively. Based on the results of the analysis, an original approach to the remote measurement of sea depth both in the presence and in the absence of autonomous wind speed measurements in suggested.

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