Modeling and model parameter estimation is of paramount importance for a correct prediction of
the foundation behavior. The primary aspect of foundation behavior rests with the understanding of
the interaction between the foundation soil and the supported superstructure, which is still stated as
the emerging topic in geotechnical engineering due to the lack of any universal consensus. Probably
this notion is attributed to the complex behavior of soil both with space and with time. Several
researchers around the world have provided evidence of the variety in the soil-structure interaction
studies (Zolghadr Jahromi et al. 2007, Rajashekhar Swamy et al. 2011). In soil-structure interaction
studies, lumped parameter modeling, made up of interconnected springs and dashpots, is a