Abstract
In this study, the statistical behavior of the air gap of a tension-leg platform was investigated using an efficient analytic approach. The potential flow theory up to second order can be used to model the wave elevation around the platform as a two-term Volterra series, whose statistical moments are available from an eigenvalue problem formulated with the wave spectrum and the frequency-domain transfer functions. Then, the Hermite-moment method is applied to estimate the probability distribution and the upcrossing rate of the wave elevation, which can be used to estimate the extreme air gap. The following two topics are mainly discussed: the effect of the short-crestedness of the sea state, and the effect of the set-down of the platform caused by horizontal displacement. A rational formulation for the upcrossing rate of the relative wave elevation is suggested, taking into account the non-Gaussian nature of the nonlinear wave elevation and the platform set-down.
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