Perfect partial reconstructions for multiple simultaneous sources

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Abstract

A major focus of research in the seismic industry of the past two decades has been the acquisition and subsequent separation of seismic data using multiple sources fired simultaneously. The recently introduced method of signal apparition provides a new take on the problem by replacing the random time-shifts usually employed to encode the different sources by fully deterministic periodic time-shifts. In this paper, we give a mathematical proof showing that the signal apparition method results in optimally large regions in the frequency–wavenumber space where exact separation of sources is achieved. These regions are diamond shaped and we prove that using any other method of source encoding results in strictly smaller regions of exact separation. The results are valid for arbitrary number of sources. Numerical examples for different number of sources (three, respectively, four sources) demonstrate the exact recovery of these diamond-shaped regions. The implementation of the theoretical proofs in the field is illustrated by the results of a conducted field test.

Detaljer

Författare
  • Jens Wittsten
  • Fredrik Andersson
  • Johan Robertsson
  • Lasse Amundsen
Enheter & grupper
Externa organisationer
  • ETH Zürich
  • Norwegian University of Science and Technology
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Signalbehandling

Nyckelord

Originalspråkengelska
TidskriftGeophysical Prospecting
StatusE-pub ahead of print - 2019
PublikationskategoriForskning
Peer review utfördJa