In the performance-based earthquake engineering, the wide range of uncertainties is taken into account explicitly through probabilistic evaluations of liquefaction susceptibility, triggering, and consequences. Liquefaction is one of the most devastating and complex behaviors that affect the soil. It usually happens due to strong shakings. Recent studies have been conducted in order to characterize and strengthen the soil. These improvement techniques, among others, induce an amelioration in the behavior of the soil. The aim of this paper is to design numerical tests that take into consideration the soil-structure effect under controlled conditions, quantify the damage of the structure and check the effect of the soil heterogeneity on the behavior of the soil subjected to real earthquakes. Heterogeneity in this paper is referred to the soil treated with injected material. For this purpose, a 2D finite element model of an embankment founded on a layered soil/rock profile is considered. An elasto-plastic multi-mechanism model is used to represent the soil behavior.