Abstract：In finite difference numeric simulation of wavefield for elastic wave equation,limited in computational model,appearing the man-made boundary reflection is inevitable. In order that the com-puted boundary wavefield more approaches thetrue boundary wavefield,the boundary conditions are often used to reduce the man-made reflection energy coming from computational boundary in numeric simulation of wavefield. In comparison with acoustic absorbing boundary condition,the elastic wave boundary condition is more complicated and the study on algorithm of elastic wave boundary condition has been still an important subject in the field until now. In the aid of the Clayton's idea processing absorbing boundary reflections and starting from elastic wave equation,the paper presented a new absorbing boundary condition of finite-difference numeric simulating the elastic wavefield in homogeneous medium. The wavefield computation showed that the algorithm is characterized by small computational effort,simple application and being able to effectively reduce the reflection wavefield from model condition,in which the computational efficiency is equivalent to the time consumed in processing absorbing boundary condition by Clayton et al.
