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Virtual Source Imaging vs Interferometric Imaging

Virtual Source Imaging vs Interferometric Imaging. Gerard T. Schuster, Andrey Bakulin and Rodney Calvert. Outline. Theory. Data Illustration. Summary. u = D g. g D* u. D( s’|s ). W. ,s. U(g’|s) = G(g’|s’) D( s’ | s ) ds’. -1. u =[ D*D] D* g.

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Virtual Source Imaging vs Interferometric Imaging

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  1. Virtual Source Imaging vs Interferometric Imaging Gerard T. Schuster, Andrey Bakulin and Rodney Calvert

  2. Outline Theory Data Illustration Summary

  3. u = Dg g D*u D(s’|s) W ,s U(g’|s) = G(g’|s’) D(s’|s)ds’ -1 u =[D*D] D*g Greens Function for s & g in well Redatumed data for s & g in well (g,M,s)= d(g|s) d(M|s)* s G(g’|s’) ~ U(g’|s)D(s’|s)*ds s Greens Thm: Every pt along well acts as a secondary source D(s’|s) U(g’|s’) s’ g’

  4. Outline Theory Data Illustration Summary

  5. G(g’|s’) G(g’|s’) ~ U(g’|s)D(s’|s)*ds Depth (ft) 30 900 0 Raw Data(CRG15) D(s’|s) Time (s) U(g’|s) 0.3

  6. Outline Theory Data Illustration Summary

  7. U(g’|s) = G(g’|s’) D(s’|s)ds’ -1 g =[D*D] D*u VSP Ghost VSP Direct 1. u = Dg CDP Refl. G(g’|s’) 2. -1 -1 ~ 1/D ~ 1/W [D*D] [D*D] Virtual Source Readtuming Interferometry Redatuming Summary

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