<p> Recently, the need for the robust design and the resilience design methods under accidental loading of soil structures has been the subject of many discussions. Herein, we are developing a dynamic reliability analysis base on mode decomposition for evaluating the failure mode of the soil structure. This analysis features quantifying uncertainties related to the accuracy of the parameter settings. This paper describes the deformation calculation procedure for the case of a simple embankment on a liquefiable sand layer. We conducted a dynamic effective stress analysis to evaluate the liquefaction phenomenon in the sand layer. This study aimed to derive an alternative numerical analysis model that considers the space and time required for calculating the aforementioned deformed embankment.</p>