Linear and parabolic [tau]-p transforms revisited

Journal Article · Fri Jul 01 04:00:00 EDT 1994 · Geophysics; (United States)

DOI:https://doi.org/10.1190/1.1443669· OSTI ID:7008044

Zhou, B; Greenhalgh, S A ^[1]

---

1. Flinders Univ. of South Australia, Adelaide (Australia). School of Earth Sciences

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.

• OSTI ID: 7008044
• Journal Information: Geophysics; (United States), Journal Name: Geophysics; (United States) Vol. 59:7; ISSN GPYSA7; ISSN 0016-8033
• Country of Publication: United States
• Language: English

Related Subjects

58 GEOSCIENCES
580000* -- Geosciences
DATA PROCESSING
FUNCTIONS
GEOLOGIC DEPOSITS
GEOPHYSICAL SURVEYS
PROCESSING
RESPONSE FUNCTIONS
SCATTERING
SEISMIC SURVEYS
SEISMIC WAVES
SURVEYS