本文以风浪频谱和其相关函数的关系为基础,应用积分中值定理,给出了风浪相关函数的理论模型。进而以文氏等人的理论风浪频谱为原型,通过数值积分和待定系数法,给出了以风浪频谱的零阶矩m_0、峰频率ω_0和峰度因子P为参数的深水风浪相关函数式。最后把该式与数值计算值、实测值作了对比,证明本文所提出的深水风浪相关函数式较好地反映了各种不同成长状态的实际的相关函数。 Based on the relationship between the wave spectrum and its correlation function, this paper gives the theoretical model of the correlation function of wind and waves by applying the mean value theorem. Furthermore, based on the theoretical wind wave spectrum of Wen’s et al., The correlation formula of deep-water storm with the zeroth-order moment m_0, the peak frequency ω_0 and the kurtosis factor P as the parameters is given by numerical integration and undetermined coefficient method. Finally, this formula is compared with the numerical and measured values ​​to prove that the correlation function of deep-water storm and wave presented in this paper reflects the actual correlation function of various growth states well.