A New Approach to Analysis of the Properties of Disordered Structures in Hydrodynamic Acoustics as Supplement to Technology and Detection Theory

P. A. Starodubtsev, Evgeny P. Starodubtsev, Roman N. Alifanov, G. Dorofeev
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Abstract

The article presents the results of the analysis of the properties of disordered structures in hydrodynamic acoustics, associated with the process of detecting physical phenomena and marine objects based on the results of their mechanical impact on the marine environment, in which acoustic vibrations propagate. If vortices, attractors, fractals arise as a result of complex interactions of forces of nature (upwellings, seiches, Coriolis forces, currents, convection flows, rotation of the Earth) and are essentially mechanical effects on the environment of formation and propagation of an acoustic field, then mechanical sources of sound introduced into the hydrosphere (water) should repeat fractal iterations on a smaller scale at the sound field level. Recognizing the equations of hydrodynamics (the equation of motion, the equation of continuity, and the equation of state) as the fundamental equations of hydroacoustics, the nonlinearity of these equations is proposed to be considered the theory of the hydroacoustic field as nonlinear, and the linearity of the processes in this study is considered a special case. The principle of superposition also becomes a special case, and the Fourier transform, remaining necessary, loses its sufficiency. Fractal analysis in combination with wavelet analysis should be involved to help him
水动力声学中无序结构特性分析的新方法作为技术和检测理论的补充
本文介绍了水动力声学中与物理现象和海洋物体探测过程有关的无序结构的性质分析结果,这些结构是基于声学振动在海洋环境中传播的机械影响的结果。如果漩涡、吸引子、分形是自然力量(上升流、塞、科里奥利力、电流、对流、地球自转)复杂相互作用的结果,本质上是对声场形成和传播环境的机械效应,那么引入水圈(水)的机械声源应该在声场水平上以较小的尺度重复分形迭代。将流体力学方程(运动方程、连续性方程和状态方程)视为水声的基本方程,提出将这些方程的非线性视为水声理论的非线性,并将本研究中过程的线性视为特例。叠加原理也成为一种特殊情况,傅里叶变换仍然是必要的,但失去了它的充分性。分形分析结合小波分析可以帮助他
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