AMPLITUDE-PHASE STRUCTURE OF WAVE DISTURBANCES AT THE BORDER OF ICE COVER AND DEEP LIQUID FROM LOCALIZED SOURCES

The floating ice cover determines the dynamic interaction between the ocean and the atmosphere, affects the dynamics of not only the sea surface, but also subsurface waters, and both the ice cover and the entire mass of liquid beneath it participate in the general vertical movement. This work investigates the amplitude-phase structure of wave fields arising at the interface between ice and an infinitely deep homogeneous fluid during flow around a localized source of disturbances. The ice cover is modeled by a thin elastic plate, the deformations of which are small and the plate is physically linear. An integral representation of the solution is obtained and, using the stationary phase method, an asymptotic representation is constructed for small disturbances of the ice cover far from a localized source. The results of calculations of dispersion dependences for various parameters of wave generation are presented. It is shown that the main parameters that determine the characteristics of the amplitude-phase structure of wave disturbances on the surface of the ice cover are ice thickness and flow velocity. Numerical calculations demonstrate that with changes in flow velocities and ice thickness, a noticeable qualitative restructuring of the phase patterns of excited far wave fields at the interface between ice and liquid occurs.

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