Dumaz Laure, Garnier Josselin, Lepoultier Guilhem
Ceremade, Université Paris-Dauphine, 75016 Paris, France.
Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau Cedex, France.
J Acoust Soc Am. 2019 Jul;146(1):458. doi: 10.1121/1.5116569.
The main goal of this paper is to estimate the regional acoustic and geoacoustic shallow-water environment from data collected by a vertical hydrophone array and transmitted by distant time-harmonic point sources. The aim is to estimate the statistical properties of the random fluctuations of the index of refraction in the water column and the characteristics of the sea bottom. It is explained from first principles how acoustic wave propagation can be expressed as Markovian dynamics for the complex mode amplitudes of the sound pressure. This makes it possible to express the cross moments of the sound pressure in terms of the parameters to be estimated. Then it is shown how the estimation problem can be formulated as a nonlinear inverse problem using this formulation, which can be solved by minimization of a misfit function. The method is applied to experimental data collected by the Acoustic Laboratory for Marine Applications system. A Bayesian analysis quantifies the uncertainty of the estimation.
本文的主要目标是根据垂直水听器阵列收集并由远处时谐点源发射的数据，估计区域声学和地声学浅水环境。目的是估计水柱中折射率随机波动的统计特性以及海底特性。从基本原理出发解释了如何将声波传播表示为声压复模振幅的马尔可夫动力学。这使得能够根据待估计参数来表示声压的交叉矩。然后展示了如何使用这种公式将估计问题表述为非线性反问题，该问题可通过最小化失配函数来求解。该方法应用于海洋应用声学实验室系统收集的实验数据。贝叶斯分析量化了估计的不确定性。
