Fluctuation energy bounces back and forth in the computational domain when inputting seismic waves directly.This influences the reliability of analysis results in wave numerical simulation.Based on wave motion theories and the Spring/Dashpots elements of ABAQUS software

the viscous boundary condition is applied to simulate the radiation damping effect of infinite media in this paper.Then the viscous boundary condition is used to analyze the wave response of source and scattering problems in elastic half space.The records of Xiangtang borehole array（3#）site are also used to validate the seismic response with the viscous boundary condition and the fixed boundary condition

respectively.The results of this study suggest that the fixed boundary condition causes the scattering wave to bounce back and forth and enlarges the surface seismic response and the viscous boundary condition can absorb the scattering wave energy and simulate seismic response of soil layer successfully.