Abstract Ocean site can be modeled as a fluid-seabed-bedrock system, in which the seabed is horizontally layered poro-elastic medium and the bedrock is a solid medium. The estimation of the wave-induced and earthquake-induced responses of the seabed played an important role in the design of offshore structures, which has attracted the attention of researchers and engineers. Based on Biot's poro-elastic theory, semi-analytical solutions are derived to evaluate the wave-induced and vertical earthquake-induced responses of the fluid-stratified seabed-bedrock (FSSB) system. The solutions for the wave-induced and vertical earthquake-induced responses of the fluid medium, the poro-elastic medium, and the solid medium are first derived. Then, the transfer matrix is obtained by applying the continuous conditions between the interfaces of the stratified seabed. Finally, a new wave dispersion equation for waves propagating over the FSSB system and the analytical solution for the wave-induced and vertical earthquake-induced responses of the FSSB system are established by using boundary conditions. Based on the present solution, the effects of fluid-seabed interaction and seabed-bedrock interaction on the wave characteristics, wave-induced and vertical earthquake-induced responses were investigated in detail.

中文翻译：

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流体分层海床-基岩系统波浪诱发和垂直地震诱发响应的半解析解

摘要 海洋场地可以模拟为流体-海床-基岩系统，其中海床为水平层状多孔弹性介质，基岩为固体介质。海床波浪和地震响应的估计在海上结构设计中发挥了重要作用，引起了研究人员和工程师的关注。基于Biot的多孔弹性理论，推导出半解析解来评估流体分层海底基岩（FSSB）系统的波浪和垂直地震引起的响应。首先推导了流体介质、多孔弹性介质和固体介质的波浪诱发和垂直地震诱发响应的解。然后，传递矩阵是通过在分层海床的界面之间应用连续条件获得的。最后，利用边界条件建立了新的波在FSSB系统上传播的波频散方程以及FSSB系统的波激响应和地震竖激响应的解析解。基于现有的解决方案，详细研究了流体-海底相互作用和海底-基岩相互作用对波浪特征、波浪诱发和垂直地震诱发响应的影响。