Abstract
Migration by the Gaussian beam summation method (MGBSM) combines the high efficiency and flexibility of Gaussian beam migration with the high accuracy of wave equation reverse-time migration, which can overcome the problems of caustics, handle all arrivals, yield good images of steep flanks, and is readily extendible to target-oriented implementation. The viscoacoustic prestack migration is of practical significance because it considers the viscosity of subsurface media. In this paper, we propose a MGBSM to perform seismic data compensation for frequency dependent absorption and dispersion. First, we derive the expressions for the attenuation equation and analyse the precision of the viscoacoustic Green function based on Gaussian beams. Then, the principle and procedure of compensation is presented. Finally we propose Q-compensated MGBSM. Numerical examples indicate that Q-compensated MGBSM has a higher imaging resolution than acoustic MGBSM when the viscosity of the subsurface is considered.
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