Flow through dams has been extensively studied using numerical models in hydraulic engineering. And the present studies the numerical modelling of flow through an embankment using Plaxis software under dynamic loads such as earthquakes in dynamic phase with HS small parameter in undrained stage and initial phase or static phase with Mohrcoulomb parameter in the drained stage. In any phase we used different material model such as Mohr- coulomb, linear elastic, and Hs small . Furthermore, it should be emphasized that this study incorporates published analytical findings as part of its numerical methodology. The objective is to observe the effects on settlement, acceleration, lateral displacement, and excess pore pressure. And finally, according to the results obtained from the output generated by the Plaxis software, the data was transformed into a line chart, with the dynamic time element placed on the horizontal axis and the placed elements on the vertical axis such as Uy, Ux, Ax, and Pexcess. Furthermore, it was observed that embankments constructed with sand exhibit higher pore pressures in comparison to those composed of clay or gravel. This phenomenon can be attributed to the compressibility of sand, which induces increased volumetric strains and initiates pumping phenomena, ultimately leading to elevated pore pressures. In contrast, materials such as gravel and clay demonstrated superior drainage capabilities and decreased compressibility, facilitating the effective dissipation of excess pore pressures.