Prestack Time Migration in Anelastic Media Based on Designing for Short Operator

Abstract

AbstractIn order to raise the computational efficiency of frequency domain prestack time migration in anelastic media, the high‐accuracy optimum short convolution operators in time domain are designed by weighted least squares method. Therefore a table‐driven time domain prestack time migration scheme in anelastic media is presented. This scheme can transform large amount of multiplication operation frequency by frequency into less convolution operation in time domain and split calculation of travel time, amplitude and short convolution operator from the inverse Q compensation migration, which greatly improved the computational efficiency of time‐domain pre‐stack time migration in anelastic media. A stabilization controlling strategy is proposed to ensure the stability of algorithm in compensation for absorption and dispersion. Numerical examples indicate that the short convolution operator designed by weighted least squares method has very high accuracy. The algorithm in time domain can achieve the same compensation result as in frequency domain while its computational cost is close to the conventional prestack time migration.