
doi: 10.1002/cjg2.951
AbstractIn this technical report, we review the recent development of true amplitude one‐way wave equation migration and summarize the migrated amplitude performance from different one‐way wave equations. To produce correct amplitude from postack phase‐shift migration, we have to apply accurate geometrical spreading compensation in preprocessing. Although Dubrulle's common‐offset phase‐shift migration gives correct imaging position, it is not a true amplitude migration except for zero offset or flat reflectors. We have shown that the conventional common‐shot one‐way wave equation migration does not produce correct migration amplitude. Based on the true amplitude one‐way wave equations and the surface boundary condition corrections, we have developed true amplitude common‐shot migration and have proved that it produces an inversion output that agrees asymptotically to Kirchhoff inversion. In the next step, we propose a way to obtain true amplitude common‐angle image gathers from both single‐square‐root and double‐square‐root wave equation migrations. Our analysis indicates that the imaging condition is a good candidate to produce true amplitude angle domain common imaging gathers. Compared to the pU/pD imaging condition which is required for true amplitude common‐shot migration, the new approach suggests a more stable way of doing inversion and is more attractive to the real seismic data processing.
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