--> ABSTRACT: Full Data Reconstruction of 3-D Wide Azimuth Data Using Sparse Radon Transforms, by Tsingas, Constantine; Verschuur, Eric; #90141 (2012)
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Full Previous HitDataNext Hit Reconstruction of 3-D Wide Azimuth Previous HitDataNext Hit Using Sparse Radon Transforms

Tsingas, Constantine *1; Verschuur, Eric 2
(1) EXPEC ARC, Saudi Aramco, Dhahran, Saudi Arabia. (2) Delphi Studio For Imaging, Delft, Netherlands.

While, historically, the number of seismic recording channels increases by orders of magnitude every 10 years, current 3D Wide Azimuth Previous HitfieldNext Hit acquisition geometries usually have poor spatial sampling in at least one dimension. Most of the demultiple and imaging algorithms, such as reverse time migration, wave equation imaging algorithms and 3D SRME, assume regularly and densely sampled Previous HitdataNext Hit. A number of Previous HitdataNext Hit reconstruction techniques have been published in the last few years. These can be categorized as local or global methods. Local methods tend to be robust and easy to implement, but they suffer when attempting to interpolate large gaps. Alternatively, global methods are slower and harder to implement, but can interpolate larger Previous HitdataNext Hit gaps.

In this presentation, we will outline and demonstrate, on synthetic and Previous HitfieldNext Hit Previous HitdataNext Hit reconstruction technique and methodology that relies on the fact that the seismic Previous HitdataNext Hit is redundant and can be represented in a suitable transform domain, in our case, the linear/parabolic Radon domain. By imposing sparseness in the transform domains (i.e. assuming the Previous HitdataNext Hit can be represented by a limited number of model parameters), transformation from this sparse model domain to the original Previous HitdataNext Hit domain allows the generation of Previous HitdataNext Hit for any desired output location. Previous HitExamplesNext Hit of these model domains are the plane wave domain (i.e. the Fourier domain), the curvelet domain, and the linear or parabolic Radon domain. Since these transforms are usually ill-posed, we need to include an extra constraint, which is typically done in the transform domain. We will illustrate with several Previous HitexamplesNext Hit the effect of employing the L1, L2 and Cauchy constraints in the Previous HitdataTop reconstruction process using sparse Radon transforms

 

AAPG Search and Discovery Article #90141©2012, GEO-2012, 10th Middle East Geosciences Conference and Exhibition, 4-7 March 2012, Manama, Bahrain