Abstract:Pseudospectral method plays a very important role in modeling seismic wave field.However,the pseudospectral method based on Fourier transform brings slow computation and uses more internal storage of computer.Hartley transform can remove these defects because it is faster than Fourier transform.The article details how we apply Hartley transform in wave field modeling in anisotropic medium,determine stable conditions and absorption boundary,remove folding effect and solve for space derivative of elastic parameter at interface.In addition,near source method for attenuating nonpropagated vibration wave field is recommended here.