内孤立波特征长度估计方法与验证
Estimation method and validation of characteristic length of internal solitary waves
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摘要: 针对内孤立波特征参数估计问题, 研究了一种基于简正波耦合的内孤立波特征长度估计方法, 完成了密度分层流体介质内波水槽实验验证。根据各阶简正波之间的能量耦合规律, 提出了简正波水平波数差与内孤立波特征长度的数学关系。结合抛物方程建立了浅海内孤立波场仿真模型, 分析了内孤立波声散射特性对声场前向传播的影响, 数值结果表明, 在某个特定频率上声传播损失有显著起伏。比较分析该声源频率激发的简正波耦合波数差与原设定值, 推导了最优估计关系式。搭建了内孤立波水槽的缩比实验系统, 通过研制的宽带瞬态等离子体声源和特定水听器阵列完成了内孤立波的前向声散射数据收集, 比较了水槽实验条件下得到的估计值与设定值, 实验结果验证了估计方法的可行性。Abstract: For a fluid medium with density stratification, the internal wave is easily observed under disturbance of waves, and the acoustic transmission loss and the characteristic parameters of the internal solitary waves are related. The mathematical relationship between the horizontal wavenumber difference of normal modes and the characteristic length of internal waves is established according to the coupling theory of normal modes. Furthermore, a method for estimating the characteristic length of internal solitary waves based on active acoustic means is proposed. The numerical simulation results reveal that the internal solitary wave has a significant impact on the forward transmission of sound waves. At a specific frequency, the transmission loss of sound waves fluctuates significantly and is related to the wavenumber difference of the coupling between internal waves and normal modes. An experiment system for studying internal waves in a tank is established, and the forward scattering data of the internal waves are collected by using a developed broadband transient plasma sound source and hydrophones. The feasibility of estimating the characteristic parameters of the internal solitary waves based on the resonance phenomenon is verified through experimental data analysis.