Report 3 Migration Deconvolution

The migration section is the reflectivity distribution modulated by the discrete Green’s function for migration. For a poorly sampled trace distribution, the Green’s function introduces noise into the migration image that can obscure its interpretation. Using this migration Green’s function and assuming shift invariance, we propose an economical method to deconvolve the Green’s function from the migration image. This is a necessary step in recovering the true reflectivity information from the migrated image. Results with synthetic data show that migration deconvolution can noticeably improve the quality of a migration image, decrease the strength of migration artifacts, and improve the spatial resolution of the image. Preliminary results with 2-D marine field data show noticeable improvements in the deconvolved images but one example does not show a significant improvement in image quality after deconvolution.