Methods of the Theory of Radiation Transfer for Bathymetry Problems

Based on the mathematical model of the propagation of an acoustic signal in a fluctuating medium, the inverse problem is formulated, which includes determination a function that describes the deviation of the bottom level from the average specified horizontal plane. In the double scattering approxim...

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Bibliographic Details
Published in:IOP conference series. Earth and environmental science 2019-06, Vol.272 (2), p.22140
Main Authors: Sushchenko, A A, Lyu, E R, Kan, V A
Format: Article
Language:English
Subjects:
Acoustic propagation
Bathymetry
Deviation
Directivity
Inverse problems
Nonlinear differential equations
Numerical analysis
Radiation
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Summary:Based on the mathematical model of the propagation of an acoustic signal in a fluctuating medium, the inverse problem is formulated, which includes determination a function that describes the deviation of the bottom level from the average specified horizontal plane. In the double scattering approximation and the narrow directivity pattern of the receiving antenna, the solution of the direct problem is obtained. As a solution of the inverse problem, a nonlinear differential equation is obtained for the function describing the deviation of the seabottom relief. A numerical analysis of the solution is carried out.
ISSN:1755-1307
1755-1315
DOI:10.1088/1755-1315/272/2/022140