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Amplitude Compensation for One-Way Wave Propagators in Inhomogeneous Media and its Application to Seismic Imaging

Communications in Computational Physics 2008年第1期3卷 203-221页

作者： Jun Cao Ru-Shan Wu Department of Earth and Planetary Sciences University of CaliforniaSanta CruzCA 95064USA cside Institute of Geophysics and Planetary PhysicsUniversity of CaliforniaSanta CruzCA 95064USA.

TheWKBJ solution for the one-waywave equations inmediawith smoothly varying velocity variation with depth,c(z),is reformulated from the principle of energy flux conservation for acoustic *** formulation is then extended to general heterogeneous media with local angle domain methods by introducing the concepts of Transparent Boundary Condition(TBC)and Transparent Propagator(TP).The influence of the WKBJ correction on image amplitudes in seismic imaging,such as depth migration in exploration seismology,is investigated in both smoothly varying c(z)and general heterogeneous *** also compare the effect of the propagator amplitude compensation with the effect of the acquisition aperture correction on the image *** results in a smoothly varying c(z)medium demonstrate that theWKBJ correction significantly improves the one-way wave propagator amplitudes,which,after compensation,agree very well with those from the full wave equation *** for a point scatterer in a smoothly varying c(z)medium show that the WKBJ correction has some improvement on the image amplitude,though it is not very *** results in a general heterogeneous medium(2D SEG/EAGE salt model)show similar *** the acquisition aperture correction is applied,the image improves significantly in both the smoothly varying c(z)medium and the 2D SEG/EAGE *** comparisons indicate that although theWKBJ compensation for propagator amplitude may be important for forward modeling(especially for wide-angle waves),its effect on the image amplitude in seismic imaging is much less noticeable compared with the acquisition aperture correction for migration with limited acquisition aperture in general heterogeneous media.

关键词： Propagator amplitude image amplitude WKBJ beamlet local angle domain seismic imaging

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