NDLI: Perturbations of Time Shifts in Signal Apparition

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Robertsson, Johan van Manen, Dirk-Jan Amundsen, Lasse Wittsten, Jens Andersson, Fredrik
Copyright Year	2018
Abstract	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 frequency-wavenumber 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.
Sponsorship	Knut och Alice Wallenbergs Stiftelse
Starting Page	2840
Ending Page	2864
Page Count	25
File Format	PDF
ISSN	00361399
DOI	10.1137/18M1165591
e-ISSN	1095712X
Issue Number	5
Volume Number	78
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2018-10-23
Access Restriction	Subscribed
Subject Keyword	probability theory numerical solutions Inverse problems controlled source seismology Fourier analysis inverse theory
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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