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Seismic Waveform Inversion by Stochastic Optimization
Joint Authors
Herrmann, Felix J.
van Leeuwen, Tristan
Aravkin, Aleksandr Y.
Source
International Journal of Geophysics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-26
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We explore the use of stochastic optimization methods for seismic waveform inversion.
The basic principle of such methods is to randomly draw a batch of realizations of a given misfit function and goes back to the 1950s.
The ultimate goal of such an approach is to dramatically reduce the computational cost involved in evaluating the misfit.
Following earlier work, we introduce the stochasticity in waveform inversion problem in a rigorous way via a technique called randomized trace estimation.
We then review theoretical results that underlie recent developments in the use of stochastic methods for waveform inversion.
We present numerical experiments to illustrate the behavior of different types of stochastic optimization methods and investigate the sensitivity to the batch size and the noise level in the data.
We find that it is possible to reproduce results that are qualitatively similar to the solution of the full problem with modest batch sizes, even on noisy data.
Each iteration of the corresponding stochastic methods requires an order of magnitude fewer PDE solves than a comparable deterministic method applied to the full problem, which may lead to an order of magnitude speedup for waveform inversion in practice.
American Psychological Association (APA)
van Leeuwen, Tristan& Aravkin, Aleksandr Y.& Herrmann, Felix J.. 2011. Seismic Waveform Inversion by Stochastic Optimization. International Journal of Geophysics،Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-490694
Modern Language Association (MLA)
van Leeuwen, Tristan…[et al.]. Seismic Waveform Inversion by Stochastic Optimization. International Journal of Geophysics No. 2011 (2011), pp.1-18.
https://search.emarefa.net/detail/BIM-490694
American Medical Association (AMA)
van Leeuwen, Tristan& Aravkin, Aleksandr Y.& Herrmann, Felix J.. Seismic Waveform Inversion by Stochastic Optimization. International Journal of Geophysics. 2011. Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-490694
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490694