Plane-Wave Least-Square Reverse Time Migration with Seislet Fractional Order Threshold Algorithm Constraint

Least-square reverse time migration using plane-wave encoding has two problems: Encoding data will introduce crosstalk noise and the excessive number of plane-wave records will reduce the computational efficiency. In this paper, the Seislet transform, which is suitable for seismic data, is combined with the fractional order threshold function based on the Riemann-Liouville fractional integration theory. Then we apply it into the plane-wave least-square reverse time migration. Numerical tests on the complex model show that the plane-wave least-square reverse time migration based on Seislet fractional order threshold algorithm constraint can effectively suppress the crosstalk noise caused by multi-source data. Compared with the traditional method, this proposed method uses less number of plane-wave records to obtain the same imaging effect, and can improve the computational efficiency.