For evaluation of the permanent deformation of a sea embankment under stoch
astic earthquake excitation, a robust dynamic risk analytical method is pre
sented based on conventional permanent deformation analysis and stochastic
seismic response analysis. This method can predict not only the mean value
of maximum permanent deformation but also the reliability corresponding to
different deformation control standards. The earthquake motion is modelled
as a stationary Gaussian filtered white noise random process. The predicted
average maximum horizontal permanent displacement is in agreement with the
conventional result, Further studied are the reliability of permanent defo
rmation due to stochastic wave details at one seismic motion level and the
risk of permanent deformation due to stochastic seismic strength, i. e., th
e maximum acceleration in a long period. Therefore, it is possible to make
the optimal design in terms of safety and economy according to the importan
ce of a sea embankment. It is suggested that the improved stochastic seismi
c model that can catch the behavior of the non-stationary random process Fo
r sea embankments should be further studied in future.