Interpolating solutions of the Helmholtz equation with compressed sensing

Tim T.Y. Lin, Evgeniy Lebed, Yogi Erlangga Ahmad, Felix J. Herrmann

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present an algorithm which allows us to model wavefields with frequency-domain methods using a much smaller number of frequencies than that typically required by the classical sampling theory in order to obtain an alias-free result. The foundation of the algorithm is the recent results on the compressed sensing, which state that data can be successfully recovered from an incomplete measurement if the data is sufficiently sparse. Results from numerical experiment show that only 30% of the total frequency spectrum is need to capture the full wavefield information when working in the hard 2D synthetic Marmousi model.

Original languageEnglish
Title of host publication78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008
PublisherSociety of Exploration Geophysicists
Pages2122-2126
Number of pages5
ISBN (Print)9781605607856
Publication statusPublished - Jan 1 2018
Event78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008 - Las Vegas, United States
Duration: Nov 9 2008Nov 14 2008

Other

Other78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008
CountryUnited States
CityLas Vegas
Period11/9/0811/14/08

ASJC Scopus subject areas

  • Geophysics

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