Interpolating solutions of the helmholtz equation with compressed sensing

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

doi:10.1190/1.3059307

Interpolating solutions of the helmholtz equation with compressed sensing

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

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
Pages (from-to)	2122-2126
Number of pages	5
Journal	SEG Technical Program Expanded Abstracts
Volume	27
Issue number	1
DOIs	https://doi.org/10.1190/1.3059307
Publication status	Published - Jan 1 2008

Keywords

Inversion
Modeling
Nonlinear
Wave equation
Wave propagation

ASJC Scopus subject areas

Geotechnical Engineering and Engineering Geology
Geophysics

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AB - 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.

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Interpolating solutions of the helmholtz equation with compressed sensing

Abstract

Keywords

ASJC Scopus subject areas

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