Energy dissipation in geological materials reinforced with geosynthetic is studied in this research. The behavior of building shallow foundation subjected to long period and short period earthquakes has been studied by numerical models prepared using MIDAS-GTS software. The models with multilayer geogrids below foundation are prepared. Time history analyses are then performed. Results are analyzed with the help of time history graphs and the three dimensional graphic display. Analyses are then done on the model of soil-geosynthetic-structure interaction with soil dynamic properties (stiffness) for different damping. The results obtained are interpreted and discussed.