中文摘要：

对于相对波高小于1/20浅水地区,传统线性理论不再适用,应该选用适用性更好的椭圆余弦波理论,但由于椭圆余弦函数计算的难度较大,椭圆余弦波理论的应用一直有待推广。本文采用精细积分算法模拟椭圆余弦波,结合考虑土骨架加速度及流体速度的u-p动力模式,建立椭圆余弦波-海床模型,得到椭圆余弦波作用下海床的孔压及竖向有效应力分布情况,进行液化分析。对渗透系数,饱和度等参数进行研究可以得出椭圆余弦波对孔隙水压力的影响比线性波大。

英文摘要：

Cnoidal wave theory can be applied to periodic wave progression in water when the wave height is less than 1/20 of the wavelength and for which traditional linear theory is no longer appropriate. However, cnoidal wave theory has not been widely applied in practical engineering applications because the formula for the wave profile involves a Jacobian elliptic function. In this study, Tailor＇s expression and a precise integration method were used to estimate the Jacobian elliptic function. The seabed was treated as a porous medium and characterized by Biot＇s partly dynamic equations （ u-p model）. A cnoidal wave-seabed system was modeled and analyzed. Based on the numerical results, the effects of seabed characteristics such as permeability and degree of saturation on the cnoidal waveinduced excess pore pressure and liquefaction phenomenon were studied. It was concluded that the effect of a cnoi- dal wave on the pore water pressure is larger than that of a linear wave.