Abstract:Seismic wave field simulation is an effective method to correctly understand the spreading mechanism and the wave field characteristic for seismic wave in complex conditions.Staggered mesh high order difference is often used in one order stress-velocity acoustic equation seismic simulation,however the numerical dispersion caused by the algorithm can not be avoided.By using all information in model space and applying Fourier transformation to wave field function,accurate wave field space derivative is obtained in the Pseudo spectral method,as in this method the restriction to high frequency was overcame,the seismic wave field simulation with full frequency bandwidth was realized.With the use of perfected matched layers condition in Pseudo spectral seismic simulation,the reflection wave from artificial boundary can be eliminated efficiently,and the seismic wave penetrating process can be better and accurately simulated.In this paper the numerical test shows that simulation results with pseudo spectral method one order stress-velocity equation has good resolution in time domain and it has high calculating efficiency with the same simulation precision.