Abstract
AbstractThe essential shortcoming of the finite‐difference migration is that steeply dipping events will be attenuated. To solve this problem and improve the quality of imaging in complicated media, we propose a prestack depth migration operator with coefficient optimized paraxial wave equation on the common shot gathers. Under the imaging condition based on reflection coefficients estimating, the prestack depth migration can be fulfiled. This operator has a form like that of the conventional second‐order wave equation. It is accurate to about 70 degrees because of optimizing the coefficients of the equation. And compared with those methods in time‐space domain, it has higher computation efficiency, because the finite‐difference equation of wave field extrapolation has simpler form in the frequency‐space domain. Moreover, it can also accommodate arbitrary velocity variations owing to finite‐difference algorithm of depth migration. The impulse responses and the imaged result of the Marmousi model show that this migration operator has good imaging effect in strong laterally varying velocity media.
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