The seabed response under wave loading is important for the stability of foundations of offshore structures. In this study, the wave-induced oscillatory response in a heterogeneous porous seabed considering spatially random cross-correlated soil properties is investigated. A stochastic finite element model which integrates random field simulation and finite element modelling of wave-induced seabed response is established. The stochastic analyses show that the uncertainty bounds of oscillatory pore water pressure are wider for the case with multiple spatially random soil properties compared with the cases with the single random soil property. The wave-induced liquefaction potential may be overestimated without considering soil spatial variability. The uncertainty bounds of pore water pressure at deeper depth of the seabed are narrower when the slope of the trend function increases. Without considering the trend of soil properties, the wave-induced liquefaction potential may be greatly underestimated.

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