浅海不确定声场的随机多项式展开法研究

为获得求解浅海不确定声场的普适模型,建立了随机多项式展开法与Helmholtz方程的非嵌入式耦合模型,其间运用概率配点法求解多项式系数。针对仅当海水深度不确定时的Pekeris波导、声速剖面和海深均不确定时的Pekeris波导以及下限深度不确定温跃层等几种情形,计算了传播损失概率密度分布。结果表明所建模型对声场计算模型普适性强,计算精度和计算效率高,可用于研究含多个不确定环境参数、声速剖面复杂的浅海环境中声传播的不确定性。 

On polynomial chaos expansion method for the uncertain acoustic field in shallow water

To obtain a universal model solving the uncertain acoustic field in shallow water, a non-intrusive model coupled polynomial chaos expansion (PCE) method with Helmholtz equation is established, in which the polynomial coefficients are solved by probabilistic collocation method (PCM). For the cases of Pekeris waveguide have uncertainty in depth of water column, in both sound speed profile and depth of water column, and thermo clines with uncertain lower limit depth, probability density functions (PDF) of transmission loss (TL) are calculated. The results show that the proposed model is more universal for the acoustic propagation codes with high computational efficiency and accuracy, and can be applied to study the uncertainty of acoustic propagation in the shallow water environment with multiple parameters uncertain.