Water-pile-soil interaction and the three-dimensional scattered wave effect play crucial roles in the seismic response of structures built on saturated seabed subjected to vertical P-wave incidents. This study proposes a fully coupled three-dimensional continuum model of water-pile-saturated media to investigate the seismic response of the system under vertical seismic excitation. By employing Helmholtz decomposition and the method of variable separation, the governing equations are decoupled based on assumed boundary and interface conditions, yielding the solution equation in the frequency domain. The effects of various pile and soil parameters on the seismic response are analyzed from multiple perspectives, along with the impact on the spatial distribution of three-dimensional scattered wave effects. Results indicate that the seismic response of piles and saturated soil is significantly influenced by the presence of water and the three-dimensional scattered wave effect.

中文翻译：

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垂直 P 波入射作用下水桩饱和土系统的三维全耦合解析解


水-堆-土相互作用和三维散射波效应在建造在饱和海床上的结构在承受垂直 P 波事件的地震响应中起着至关重要的作用。该文提出了一种水桩饱和介质的全耦合三维连续体模型，以研究系统在垂直地震激励下的地震响应。通过采用亥姆霍兹分解和可变分离方法，根据假设的边界和界面条件对控制方程进行解耦，从而在频域中产生解方程。从多个角度分析了各种桩和土体参数对地震响应的影响，以及三维散射波效应对空间分布的影响。结果表明，水的存在和三维散射波效应对桩和饱和土的地震响应有显著影响。