Interpolating solutions of the Helmholtz equation with compressed sensing

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

Interpolating solutions of the Helmholtz equation with compressed sensing

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

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008
Publisher	Society of Exploration Geophysicists
Pages	2122-2126
Number of pages	5
ISBN (Print)	9781605607856
Publication status	Published - Jan 1 2018
Event	78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008 - Las Vegas, United States Duration: Nov 9 2008 → Nov 14 2008

Other

Other	78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008
Country	United States
City	Las Vegas
Period	11/9/08 → 11/14/08

ASJC Scopus subject areas

Geophysics

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Interpolating solutions of the Helmholtz equation with compressed sensing. / Lin, Tim T.Y.; Lebed, Evgeniy; Erlangga Ahmad, Yogi; Herrmann, Felix J.

78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008. Society of Exploration Geophysicists, 2018. p. 2122-2126.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Lin, TTY, Lebed, E, Erlangga Ahmad, Y & Herrmann, FJ 2018, Interpolating solutions of the Helmholtz equation with compressed sensing. in 78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008. Society of Exploration Geophysicists, pp. 2122-2126, 78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008, Las Vegas, United States, 11/9/08.

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