The Stolk operator is introduced as a replacement for the square-root operator found in traditional GPSPI migration. This operator allows for a transverse (that is, horizontal) slowness gradient, instead of assuming a fully homogenous output location as is the case with GPSPI migration. Some differences in image quality were found for both impulse-response type tests and for Marmousi migration tests. The observed improvements in the image quality are minor, while the computational time costs are relatively extremely high.
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