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Sparseness-constrained data continuation with frames: Applications to missing traces and aliased signals in 2/3-D Hennenfent, Gilles; Herrmann, Felix J.

Abstract

We present a robust iterative sparseness-constrained interpolation algorithm using 2/3D curvelet frames and Fourier-like transforms that exploits continuity along reflectors in seismic data. By choosing generic transforms, we circumvent the necessity to make parametric assumptions (e.g. through linear/parabolic Radon or demigration) regarding the shape of events in seismic data. Simulation and real data examples for data with moderately sized gaps demonstrate that our algorithm provides interpolated traces that accurately reproduce the wavelet shape as well as the AVO behavior. Our method also shows good results for de-aliasing judged by the behavior of the (f-k)-spectrum before and after regularization.

Item Metadata

Title
Sparseness-constrained data continuation with frames: Applications to missing traces and aliased signals in 2/3-D
Creator
Hennenfent, Gilles; Herrmann, Felix J.
Contributor
University of British Columbia. Seismic Laboratory for Imaging and Modeling
Publisher
Society of Exploration Geophysicists
Date Issued
2005
Description
We present a robust iterative sparseness-constrained interpolation algorithm using 2/3D curvelet frames and Fourier-like transforms that exploits continuity along reflectors in seismic data. By choosing generic transforms, we circumvent the necessity to make parametric assumptions (e.g. through linear/parabolic Radon or demigration) regarding the shape of events in seismic data. Simulation and real data examples for data with moderately sized gaps demonstrate that our algorithm provides interpolated traces that accurately reproduce the wavelet shape as well as the AVO behavior. Our method also shows good results for de-aliasing judged by the behavior of the (f-k)-spectrum before and after regularization.
Extent
955600 bytes
Subject
Wavelet; Sparseness constrained; 2D; 3D; Reflectors; Seismic; Transform; AVO; Amplitude; Offset; 2-D; 3-D
Genre
Conference Paper
Type
Text
File Format
application/pdf
Language
eng
Date Available
2008-03-05
Provider
Vancouver : University of British Columbia Library
Rights
All rights reserved
DOI
10.14288/1.0107390
URI
http://hdl.handle.net/2429/524
Affiliation
Science, Faculty of; Earth and Ocean Sciences, Department of
Citation
Hennenfent, Gilles, Herrmann, Felix J. 2005. Sparseness-constrained data continuation with frames: Applications to missing traces and aliased signals in 2/3-D. SEG Expanded Abstracts.
Peer Review Status
Unreviewed
Scholarly Level
Graduate; Faculty
Copyright Holder
Herrmann, Felix J.
Aggregated Source Repository
DSpace

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