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为了评估经验正交函数(Empirical Orthogonal Functions)在声速剖面的声学反演应用中的可靠性和适用性,降低声速剖面基函数的获取对样本数据的依赖性,提出了一种声速剖面展开的正交基函数的获取方法.该方法通过分析引起声速剖面变化的海洋动力学过程,利用动力学方程求解得到的水动力简正波(Hydrodynamic Normal Modes)来给出声速剖面展开的基函数.HNMs方法获得的声速剖面正交基函数与EOFs方法的结果非常吻合,且对样本数据的依赖性小。HNMs方法物理意义清晰,能够给出决定声速剖面正交基函数的物理参数,使评估经验正交函数的准确性和适用性成为可能。
In order to evaluate the reliability and applicability of empirical orthogonal function in the acoustic inversion of sound velocity profile and to reduce the dependency of the acquisition of the basis function of sound velocity profile on the sample data, This method obtains the basis function of oceanic sound velocity profile by analyzing the hydrodynamic process which leads to the change of sound velocity profile and using the hydrodynamic normal modes obtained by solving the dynamic equations. The method of HNMs Sonic cross-section orthogonality function is in good agreement with the EOFs method and has less dependence on the sample data. The physical meaning of the HNMs method is clear and gives physical parameters that determine the orthogonal basis functions of the sonic velocity profile, making it possible to evaluate the accuracy and applicability of empirical orthogonal functions.