A 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 which have uncertainties in depth of water column,in both sound speed profile and depth of water column,and for the case of thermocline with lower limit depth uncertain,probability density functions(PDF) of transmission loss(TL) are calculated.The results show that the proposed model is 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.