New derivations for the conventional linear and parabolic tau -p transforms in the classic continuous function domain provide useful insight into the discrete tau -p transformations. For the filtering of unwanted waves such as multiples, the derivation of the tau -p transform should define the inverse transform first, and then compute the forward transform. The forward transform usually requires a p-direction deconvolution to improve the resolution in that direction. It aids the wave filtering by improving the separation of events in the tau -p domain. The p-direction deconvolution is required for both the linear and curvilinear tau -p transformations for aperture-limited data. It essentially compensates for the finite length of the array. For the parabolic tau -p transform, the deconvolution is required even if the input data have an infinite aperture. For sampled data, the derived tau -p transform formulas are identical to the DRT equations obtained by other researchers. Numerical examples are presented to demonstrate event focusing in tau -p space after deconvolution.

This content is PDF only. Please click on the PDF icon to access.

First Page Preview

First page PDF preview
You do not currently have access to this article.