Abstract
A mathematical model for elastic wave propagation in an ice cover with uneven relief (hummock) has been developed. The theoretical model is based on the application of “directed” Green’s functions. We obtained numerical results for different distances between radiating and receiving antennas installed inside the ice layer and in water medium. An information-measuring system was created to investigate elastic acoustic waves along ice surface based on electo-hydraulic generator. Experiments of high-frequency acoustic signal propagation from electro-hydraulic generator in water-ice-air system were carried out. We illustrated the model validity for the investigation of hydroacoustic wave propagation in real ice conditions.
Highlights
We are to estimate the field of acoustic wave point sources placed in the ice layer of uneven form (Fig. 1)
The following medium characteristics are known: ice, water, air densities and phase velocities of acoustic wave propagation in them; power applied to the radiating antenna; signal frequency; mutual arrangement of sources
Point M can be located in the air, ice layer or water
Summary
We are to estimate the field of acoustic wave point sources placed in the ice layer of uneven form (Fig. 1). To estimate by “directed” Green’s functions, we consider the effect of each plane of ice relief on the resulting field. The resulting field in the selected point M with the coordinates x and y is equal to the sum of “directed” Green’s functions P0n(x0n,y0n), estimated from all the planes of ice relief. “Directed” Green’s function of the waves radiated by a point source is written as. As an example, applying formula (4) we estimate the field from one point source for the frequency of 3 kHz between the radiation point M0 and M3, located in water under the ice layer at the distance up to 100 meters
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