A new wave field modeling method by using Gaussian Packets

Gaussian Packet describes the propagation of seismic wave in the high-frequency asymptotic theory whose envelopes at given time are nearly Gaussian functions. We prove that the wave field generated by a given Gabor function can be calculated by integrating Gaussian packets over take-off angles. The seismic source function can be decomposed into a series of Gabor functions, and we presented a new method which can simulate the wave field generated by any source function using Gaussian packets. Also, this method can be used in reverse time migration. Numerical experiments of prestack depth migration demonstrate the validity of Gaussian Packets modeling.