Apex-shifted Sparse Parabolic Radon Transform in Mixed Frequency-time Domain with Alternating Split Bregman Algorithm
Z.X. Li and Z.C. Li
Event name: 78th EAGE Conference and Exhibition 2016
Session: Seismic Noise and Multiple Attenuation
Publication date: 31 May 2016
Info: Extended abstract, PDF ( 2.32Mb )
Price: € 20
Mixed frequency-time domain sparse parabolic Radon transform (MSPRT) exploits the frequency domain Radon transformation operator to conduct Radon transform and imposes sparse constraint along the time and curvature direction. MSPRT combines advantages of the frequency domain sparse PRT (FSPRT) and time domain sparse PRT (TSPRT), i.e., high-resolution of the Radon model and high computation efficiency. However, standard 2D MSPRT cannot cope with diffracted multiples with their minimum travel time away from the zero offset. In this paper we extend the standard 2D MSPRT to the apex-shifted mode. Furthermore, to solve the sparse optimization problem of apex-shifted MSPRT we introduce the alternating split Bregman (ASB) algorithm, which is computationally economic. Synthetic and field data examples demonstrate the proposed apex-shifted MSPRT outperforms the traditional apex-shifted FSPRT and apex-shifted least-squares PRT for diffracted multiple removal.