Reconstruction of seismic wavefields via low-rank matrix factorization in the hierarchical-separable matrix representation

TitleReconstruction of seismic wavefields via low-rank matrix factorization in the hierarchical-separable matrix representation
Publication TypeConference
Year of Publication2013
AuthorsRajiv Kumar, Hassan Mansour, Aleksandr Y. Aravkin, Felix J. Herrmann
Conference NameSEG Technical Program Expanded Abstracts
Volume32
Page3628-3633
Month9
KeywordsHSS, interpolation, SEG
Abstract

Recent developments in matrix rank optimization have allowed for new computational approaches in the field of seismic data interpolation. In this paper, we propose an approach for seismic data interpolation which incorporates the Hierarchical Semi-Separable Structure (HSS) inside rank-regularized least-squares formulations for the missing-trace interpolation problem. The proposed approach is suitable for large scale problems, since it avoids SVD computations and uses a low-rank factorized formulation instead. We illustrate the advantages of the new HSS approach by interpolating a seismic line from the Gulf of Suez and compare the reconstruction with conventional rank minimization.

URLhttps://www.slim.eos.ubc.ca/Publications/Public/Conferences/SEG/2013/kumar2013SEGHSS/kumar2013SEGHSS.pdf
DOI10.1190/segam2013-1165.1
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https://www.slim.eos.ubc.ca/Publications/Public/Conferences/SEG/2013/kum...

Citation Keykumar2013SEGHSS
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