The Green function based on the kinematics dislocation model has been newly developed in association with the convolution scheme in time for source function and in space along rupture direction. Synthetic waves derived from this model are corresponding to the bedrock motion. The ground model is formed with 3D multi-thin layers and the soils are linear material. Inhomogeneous rupture mechanism in faults is considered in terms of multiple asperities gained from the inversion information. In the shallow soils, non-linearity governs the dynamic behavior of the ground. Waves propagate with amplifications and absorption through the soft soil according to the frequency contents. Finite element analysis based on the plastic theory can include the dynamic properties of soils, the surface layer effects and the topographic conditions
