Article

Article title THREE-DIMENSIONAL HETEROGENEOUS MODEL IN SEA WEDGE
Authors V.I. Korochentsev, L.V. Gubko, M.V. Mironenko, I.V. Garasev
Section SECTION II. HYDROACOUSTICS
Month, Year 10, 2016 @en
Index UDC 534.222
DOI 10.18522/2311-3103-2016-10-6579
Abstract The calculation of the acoustic antenna arrays methods of analysis and synthesis in a homogeneous infinite environment is used in various engineering applications and fairly simple. Algorithms calculation for antennas located in homogeneous confined volumes is much more complicated and requires more calculation time. If in a confined space of a wedge type, the marine environment is heterogeneous, the calculation of the known (existing) mathematical methods is very problematic. Proposed is a mathematical algorithm for separation of the variables with mixed boundary conditions. These formulas are based on the Green"s functions with angular dependence. This angular dependence allowed identifying the areas on the borders having uniform structure. Features of the algorithm are demonstrated by the analysis of the field of antenna, situated within the sea wedge having mixed boundary conditions. Field calculation time in the sea wedge using an average-power computer was about 1 minute. The results of theoretical calculations are compared with actual marine experiments and showed a satisfactory agreement. The analytical mathematical model allowing calculating acoustic fields in the non-uniform three-dimensional environment is developed. Estimated models in the curvilinear coordinate system which represent geodesic lines are received. The formula describing curves in orthogonal system of coordinates is received in approximation of ray acoustics based on the Fermat"s principle. The numerical experiments which showed an applicability of the removed three-dimensional mathematical model for practical calculations are made. Results of calculation for two-dimensional model to within 1÷2 of % match the known standard models of calculation are presented. Explicitly options of distribution of infrasonic waves, the sound and ultrasonic ranges are calculated. It is shown that time of calculation of one option practically does not depend on the range of frequencies, but is defined by quantity of layers, and also dimensionality of the mathematical model itself. The possibility of taking into account the acoustic waves attenuation in the marine environment is considered. Considered approximate calculation methods allow conducting engineering calculations for antennas located in shallow seas.

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Keywords Heterogeneous environment; mathematical model; hydroacoustic field; radiation acoustics; Fermat's principle; geodetic coordinates; digital techniques; the wave attenuation; set coversine Grina; sea wedge; mathematical algorithm; multielement array; analysis and design; underwater sound system; acoustic array.
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