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Perturbations of ti...
Perturbations of time shifts in signal apparition
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- Wittsten, Jens (author)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Andersson, Fredrik (author)
- Institute of Geophysics, ETH-Zurich
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- Robertsson, Johan (author)
- Institute of Geophysics, ETH-Zurich
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- Van Manen, Dirk Jan (author)
- Institute of Geophysics, ETH-Zurich
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- Amundsen, Lasse (author)
- Norwegian University of Science and Technology
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(creator_code:org_t)
- 2018
- 2018
- English 25 s.
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In: SIAM Journal on Applied Mathematics. - 0036-1399 .- 1095-712X. ; 78:5, s. 2840-2864
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Abstract
Subject headings
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- In the field of exploration geophysics, the method known as "signal apparition" offers a different perspective on how to separate signals acquired from simultaneously fired seismic sources. The method uses a periodic sequence of small time shift variations to encode the different sources, and this choice leads to exact separation of signals in diamond-shaped regions of the frequencywavenumber domain which are twice as large compared to those recovered by other methods. In this paper we investigate the signal apparition method's sensitivity to perturbations of the periodic time shift sequence. We model (measured or unknown) perturbations in a stochastic fashion and prove that the resulting inverse problem of separating the data is still well-posed, and we demonstrate the stability by numerical simulations on a finite-difference synthetic data set generated over a complex salt model.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Geovetenskap och miljövetenskap -- Geofysik (hsv//swe)
- NATURAL SCIENCES -- Earth and Related Environmental Sciences -- Geophysics (hsv//eng)
Keyword
- Controlled source seismology
- Fourier analysis
- Inverse theory
- Numerical solutions
- Probability theory
- Fourier analysis
Publication and Content Type
- art (subject category)
- ref (subject category)
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