Radon Transforms in Tau-P space and Multiple Removal

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Presentation transcript:

Radon Transforms in Tau-P space and Multiple Removal

The TAU-P transform is another special case of RADON transform where the data are decomposed as a series of straight lines which map to points in the tau-p domain. Hyperbolic events (e.g. those in shot gathers) map to elliptical curves in Tau-P. This process also used to be referred to as slant-stacking since to produce the tau-p domain the input data may be stacked along a series of straight lines. The tau-p process is becoming common prior to predictive deconvolution for multiple suppression since this performs more accurately in the tau-p domain. The tau-p transform may also be used to optimally isolate and filter guided waves, refractions and types of interference. Filtering in the tau-p domain is usually more expensive than in the F-K domain, but can produce better quality results.

Offset P ( slowness) Time ( Intercept Time) Tau

The Linear Radon Transform Reducing the Image to Plane Waves (Slant Stack)

The ideas is that the event can be reduced to a series of plane waves Offset P ( slowness) Time ( Intercept Time) Tau The ideas is that the event can be reduced to a series of plane waves

Offset P ( slowness) Time ( Intercept Time) Tau

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The ideas is that the event can be reduced to a series of plane waves Offset P ( slowness) Time ( Intercept Time) Tau The ideas is that the event can be reduced to a series of plane waves Since this is a “transform”, the data can be re-generated from the Tau-P stack

Adding the first order multiples and the direct arrivals Offset P ( slowness) Time ( Intercept Time) Tau Adding the first order multiples and the direct arrivals

Parabolic or Hyperbolic Radon Transform For Multiple Removal

Offset Residual Moveout Curves P ( slowness) Time ( Intercept Time) Tau After flattening the primary events, the multiples display residual moveourt

“Multiples only” model Offset Residual Moveout Curves P ( slowness) Time ( Intercept Time) Tau “Multiples only” model

The multiple model is subtracted from the NMO corrected gather Offset Multiple model Multiple subtraction Time The multiple model is subtracted from the NMO corrected gather

Noise elimination and the Radon transform By BRIAN RUSSELL and DAN HAMPSON Hampson-Russell Software Services Calgary, Canada and JOONG CHUN Oryx Energy Dallas, Texas GEOPHYSICS: THE LEADING EDGE OF EXPLORATION OCTOBER 1990