In actual marine environments, significant nonlinear changes occur during wave propagation toward the nearshore, resulting in noticeable wave asymmetry. This leads to substantial differences in seabed response and liquefaction compared to conditions under linear waves. This study employs numerical simulations to investigate the liquefaction depth of the seabed under nonlinear wave loading. Building upon existing liquefaction prediction formulas, a more widely applicable seabed liquefaction prediction formula is derived through dimensional analysis and the least squares method. The proposed formula provides a better fit to the numerically simulated values and significantly reduces prediction errors. Based on waveform analysis, a parametric method is established. By integrating the liquefaction prediction formula, this method allows rapid estimation of the maximum seabed liquefaction depth on a sloped beach under random wave action. The calculated results show that the prediction formula closely matches the numerical simulation results.
Zeng et al. (Sat,) studied this question.