5D Interpolation

Description

5D data regularization

This module designed to perform 5D interpolation technique on 3D seismic.

5D abbreviation stands in this case for 5 Dimensions defined by (1) Inline, (2) Crossline, (3) Time, (4) Offset and (5) Azimuth.

The algorithm is based on locally linear Radon transform and includes 3 stages:

  1. Regularization of input data according to virtual (regularized) geometry provided to this module (image below).
  2. Regularized gathers from 1 ststage are transformed into Tau-P domain. Then, for each output trace, the algorithm performs local search of events (Eigen values) according to statistics from neighbor traces within predefined apertures. 5D Interpolation module uses high-resolution local linear radon filter with L0-norm, which is very effective for irregular input geometry.
  3. Inverse transformation, from Tau-p to T-X domain, into geometry of output traces.

clip0107_r.jpg

This module has two sub-sequences:

  • Sub-sequence–IN:  used in order to apply additional filtering in input data prior transformation to Tau-P domain.
  • Sub-sequence–OUT:  used in order to apply additional filtering on interpolated trace data after inverse transformation.

Input data

Input DataItem

Input SEG-Y data handle

Link to input seismic data. That handle can refer to Seg-Y file of input data or internal seismic format handle.

Input sorted headers

Trace headers of original seismic data.

In case of external Seg-Y file used as an input, the User should check that all geometry information accurately filled in trace headers:

  • Source/Receiver/Bin coordinates and elevations
  • Source / Receiver Line and SP numbers
  • Accurate binning information (Inline / Crossline )

Output headers

Trace headers of seismic data after regularization

Those trace headers define the actual regularized geometry which will be used by 5DI module. Those can be either original geometry or regularized geometry created by one of existing regularization schemes in g-Platform: Archimedes Spiral, Polar or Source/Receiver orthogonal grid.

Parameters

Output file name

Output file name. This is a nick name for the output seismic that will be used to save output interpolated seismic into internal data base

Write direct

In case this check box selected, 5DI module will store output traces in the same order as defined by regularized gathers sorting. Otherwise, saving the interpolated gathers will be done in Append mode – according to execution sequence.

NMO

In order to optimize the process of 5D interpolation and storage use, there is an additional mode, which allows providing seismic data without move out correction.

In case provided seismic does not have NMO (or other move out) applied to the data, you need to select [Gathers without NMO] in [Input gathers type] combo-box.  In such case, few parameters such as [Vrms model], [Replacement velocity – V0] and [Datum] need to be defined. The program will use those to shift data prior the actual execution and will save storage and manual work required to create moved-out gathers prior deploying 5DI.

Input gathers type

Choose the option from the drop down menu. By default NMO Gathers

Vrms model

In case the Input gathers type chosen as "Gathers without NMO" then the user should provide the Vrms model

Stretch factor

Define the NMO stretch factor

Shift to datum

By default TRUE. In this case, the user should provide the datum value in the next parameter "Datum"

Datum

As per the previous parameter choice, provide the datum value.

V0

Provide the replacement velocity.

Inline aperture

Used for selecting traces which Source/Receiver coordinates occurs within ellipse defined from Source/Receiver coordinate of each given interpolated trace (see pic #1)

clip0108_r.jpg

Crossline aperture

Used for selecting traces which Source/Receiver coordinates occurs within ellipse defined from Source/Receiver coordinate of each given interpolated trace (see pic #1)

Window selection

Parameter in milliseconds that define the window in Tau-p domain for events selection

P min

Minimum p-value for transform data from t-x into tau-p domain

This parameter must be chosen carefully since the run time of this process increases by square of the number of P-values

P max

Maximum p-value for transform data from t-x into tau-p domain

This parameter must be chosen carefully since the run time of this process increases by square of the number of P-values

Delta P

Amount of modeling waves. The quality will increase with smaller value - should be approximately equal to sample rate.

That parameter must be chosen carefully since the run time of this process increases by square of the number of P-values

Number of iterations

Number of iterations of Radon transform. Number of iterations of Radon transform. At each iteration, peaks are chosen and used in following iteration for more accurate tau-p transformation.

Calculation area

Calculation area for processing

First inline number(-1 no limit)

First inline number

Last inline number(-1 no limit)

Last inline number

First crossline number(-1 no limit)

First crossline number

Last crossLine number(-1 no limit)

Last crossline number

References

Trad, D., 2009, Five-dimensional interpolation: Recovering from acquisition constraints: Geophysics, 74, V123-V132.