中文摘要：

提出一种采用随机响应面法求解浅海中含不确定参数波动方程的方法.将海洋环境不确定参数表示为标准随机变量,利用Hermite多项展开式表示相干声场的随机响应,用概率配点法求解随机多项式系数后,获得相干声场的近似表达式.通过与Monte Carlo法、声场位移法比较,表明本文方法计算精度和效率较高.

英文摘要：

A method using stochastic response surface method is presented. It solves wave equation with uncertain parameters in shallow water. Uncertain parameters of ocean environment are expressed with standard stochastic variables. And stochastic response of coherent sound field is expressed by Hermite multinomials. An approximate expression of coherent sound field is achieved with coefficients of stochastic muhinomial solved by probabilistic collocation method. It shows that the proposed method is more accurate and efficient than Monte Carlo method and field shifting method.