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水平分层环境下简正波幅度垂直分布特性

Amplitude distribution of normal modes in a horizontal layered seabed environment

  • 摘要: 本文研究了水平分层海底环境下简正波的幅度空间分布特性。通过介质层的边界条件建立数学模型,分析了简正波在不同介质层中的振幅分布规律,并探讨了环境参数对简正波垂直方向振幅分布的影响。对密度和声速为常数的等声速沉积层、密度和声速存在正梯度的沉积层等典型分层环境进行的仿真结果表明,简正波的振幅与介质的特性阻抗和简正波的阶数密切相关,且在低声速软海底下部分简正波在水层中的幅度较大,成为水声模式,高声速硬海底下部分简正波在沉积层中的幅度较大,成为地声模式。

     

    Abstract: In this paper, the amplitude spatial distribution characteristics of normal modes in a horizontally layered environment are investigated. A mathematical model is established using the boundary conditions of the layers to analyze the amplitude distribution patterns of normal modes in different layers and discuss the influence of environmental parameters on the vertical amplitude distribution of normal modes. Simulation results from typical layered environments, such as sedimentary layers with constant density and sound velocity, and sedimentary layers with a positive gradient of density and sound velocity, show that the amplitude of normal modes is closely related to the characteristic impedance of the medium and the order of the mode. Under a soft seabed with low sound velocity, some modes have larger amplitudes in the water layer, becoming hydroacoustic modes, while under a hard seabed with high sound velocity, some modes have larger amplitudes in the sedimentary layer, becoming geoacoustic modes.

     

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