浅海声场对不确定环境参数的灵敏度分析方法

为分析不确定环境参数对浅海声场的影响，用非嵌入式随机多项式展开法获得声场与不确定环境参数之间函数关系式，建立声场对单个不确定参数的局部灵敏度分析方法；当多参数不确定时，提出依据某参数变化前后声场概率密度的变化，定性表征声场对该不确定参数的全局灵敏度分析方法，引入Sobol指数法定量计算声场对不确定环境参数的全局灵敏度。算例结果表明文中提出的分析方法可快速获得浅海声场对不确定参数的灵敏度，可用于优化不确定浅海环境参数模型。

Analytical Methods for Sensitivity of Acoustic Field in Shallow Water to Uncertain Environmental Parameters

For the purpose of analyzing the effect of uncertain environmental parameters on acoustic field in shallow water, the functional relations between acoustic field and uncertain environmental parameters are constructed by nonintrusive polynomial chaos expansion (NPCE) method, and an analytical method for the local sensitivity of acoustic field to single uncertain parameter is proposed. A method for analyzing the qualitative sensitivity is presented according to the variation of probability distribution of acoustic field before and after the variation of certain uncertain parameter when more parameters are uncertain, and then the global sensitivity is quantitatively calculated by introducing the Sobol index method. The results show that the proposed methods can be used to obtain the sensitivity of acoustic field in shallow water to certain parameters quickly, which can be use to optimize the model of uncertain environmental parameters.