Open AccessA modified imaging principle for true‐amplitude wave‐equation migration
Author(s) -
Kiyashchenko D.,
Plessix R.E.,
Kashtan B.,
Troyan V.
Publication year - 2007
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.2006.03187.x
Subject(s) - slowness , extrapolation , inversion (geology) , amplitude , mathematical analysis , wave equation , finite difference , mathematics , seismic wave , geophysical imaging , synthetic data , geology , geometry , geodesy , geophysics , algorithm , physics , seismology , optics , tectonics
SUMMARY A modified imaging principle is proposed in order to retrieve the ‘true amplitude’ map of the relative slowness perturbations from multishot surface seismic data. The purpose is to obtain a method applicable with a finite‐difference solution of the wave equation and equivalent to the ray‐based migration/inversion approach. The proposed modification consists of multiplying the integrand of the classic Claerbout imaging principle by an angle‐dependent factor in order to remove the angle dependency and obtain an estimate of the slowness perturbations. It is demonstrated that in high‐frequency asymptotics the proposed modified imaging principle is similar to the ray‐based inversion. A numerical example based on a 2‐D synthetic marine‐type seismic data set and a finite‐difference wavefield extrapolation shows the relevance of this modification.