中文摘要：

真实的海洋波浪是随机的,而前人对海床的动态响应分析大都是选用线性波或者Stokes波理论,对海床的模拟大都采用Biot拟静力模型,忽略了流体速度及土体位移加速度的影响。联合使用Longuet-Higgins随机波模型（采用Jonswap谱）以及动力u-p形式的海床响应计算模型,使用COMSOL Multiphysics多场耦合软件的PDE模块输入方程进行有限元计算,得到随机波作用下整体海床动态响应结果。将随机波结果与一阶Stokes波和椭圆余弦波结果进行对比,并对渗透系数和饱和度进行参数分析,研究表明渗透系数和饱和度对于随机波作用下海床动态响应影响显著。

英文摘要：

Subject of random wave on offshore structures has received great deal of attention by many researchers and engineers responsible for the design of marine structures. Most previous investigations have been limited to the linear wave and Stokes wave based on Biot＇s quasti-static model, which ignores the accelerations due to pore fluid and soil motion. In this paper, based on Longuet-Higgins random wave theory and finite element method, a numerical model for random wave-induced seabed response is established. The seabed is treated as poroelastic medium and characterized by Blot＇s partly dynamic equations （u-p model）. The Jonswap spectrum is adopted in Longnet-Higgins model, which is based on the cumulative superposition of linear diffraction solution. Based on the numerical results, the effects of random wave on seabed response are investigated by comparing with the corresponding Stokes wave and cnoidal wave. Then, a parametric study is conducted to examine the effect of wave and soil characteristics on the seabed.