In order to eliminate the interfere pseudo-wave caused by numerical computation in the elastic wavefield modeling by
pseudo-spectral method,we analyzed the reasons leading to the phenomena,and introduced staggered grids into elastic
wavefield modeling by pseudo-spectral method.The numerical oscillation in wavefield modeling is overcome by joint
computation of central grids and staggered grids (first-order spatial derivative is calculated by staggered grids and second-
order spatial derivative is calculated by central grids).Model testing result indicates that the method can effectively remove
the interfere pseudo-wave and make the modeling result stable,accurate and reliable.