Abstract:

The great difference exists between the propagation of wave motion in elastic media and the real media，the mechanic energy associated with the wave motion is absorbed by the media and the frequency dispersion happens as the wave motion passes through the media，the affection is intense in loose media.To improve the resolution of seismic data efficiently，the compensation to the absorption of the loose media should be applied.The phase shift compensation procedure may cause instability and generate undesirable artifacts in the solution as the compensation factor is an exponential function of frequency and travel time.The mechanism of the instability is studied by mathematical modeling，and the stable condition of the calculation is pointed out.The mathematical modeling of seismic energy absorption and compensation of wave propagation in loose media is studied with the phase shift technique in F-X domain based on the propagation mechanism of wave motion in elastic-viscid media.The results of modeling and real seismic data show that the absorption of energy of high frequency can be recovered and the temporal resolution of seismic data is improved efficiently without the aberrance of high frequency signal with the method presented in the paper.

Key words: phase shift, seismic wave, absorption, compensation, stability