Effective reflection coefficients for seismic wavefields
at curved interfaces
E.Z. Rakshaeva1,2, T.V. Nefedkina2, A.M. Aizenberg2, R.I.
Vilegzhanin1, P.A. Lykhin1
1Novosibirsk
2Institute
State University, Russia
of Petroleum Geology and Geophysics, Russian Academy of
Science, Russia.
Plane-wave reflection coefficients (PWRC)
Assumption 1.
uP(x)
u
planarity of wavefront
Assumption 2.
planarity of reflector at
RPP  RPP m,  
frequency omega tends to
infinity
Spherical wave reflection coefficients
[Cerveny and Hron ,1961]
Assumption 2.
planarity of reflector at
frequency omega tends to
infinity
Is it known that both interface
curvatures affect the size of the
Fresnel zone and cannot be
neglected [Favretto-Cristini et
al., 2009]
   (m,  ,

v1
r)
Effective reflection coefficient (ERC)
[Ayzenberg et al, 2007,2011], [Rakshaeva et al, SEG, 2014]
   (m,  ,
*
s

v1
*
r )
Poster plan
• Introduction
• Effective reflection coefficients
• At interface
• At receiver
• Applications:
• Seismic modeling
• ERC-based AVO inversion
• Conclusions
76th EAGE Conference & Exhibition 2014
Overview
• We propose an accurate way to model reflection data at curved reflectors,
which is based on the ERC.
• The ERC is numerically stable and capable of simulating complex wave
phenomena, such as near-critical, post-critical, and head waves at curved
reflectors. Such ERCs exhibit a real accounting for strong front astigmatism
and reflectors with noticeable elongation.
• A comparison of the AVO inversion of long-offsets results obtained with
our approach and the results from an AVO inversion method based on
PWRC and SpRC are illustrated.
.
Thank you for your attention!