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Radon Transforms in Tau-P space and Multiple Removal
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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.
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Offset P ( slowness) Time ( Intercept Time) Tau
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The Linear Radon Transform Reducing the Image to Plane Waves
(Slant Stack)
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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
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Offset P ( slowness) Time ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( Intercept Time) Tau
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Time Offset P ( slowness) ( 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
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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
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Parabolic or Hyperbolic Radon Transform
For Multiple Removal
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Offset Residual Moveout Curves P ( slowness) Time ( Intercept Time) Tau After flattening the primary events, the multiples display residual moveourt
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“Multiples only” model
Offset Residual Moveout Curves P ( slowness) Time ( Intercept Time) Tau “Multiples only” model
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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
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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
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