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Published as Geophysical Prospecting, 61, 21-27 (2013)

Non-hyperbolic common reflection surface

Sergey Fomel% latex2html id marker 1451
\setcounter{footnote}{1}\fnsymbol{footnote}and Roman Kazinnik% latex2html id marker 1452
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\setcounter{footnote}{1}\fnsymbol{footnote}Bureau of Economic Geology
John A. and Katherine G. Jackson School of Geosciences
The University of Texas at Austin
University Station, Box X
Austin, TX 78713-8924
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\setcounter{footnote}{2}\fnsymbol{footnote}Currently ConocoPhillips
600 N. Dairy Ashford
Houston, TX 77079-1175


The method of common reflection surface (CRS) extend conventional stacking of seismic traces over offset to multidimensional stacking over offset-midpoint surfaces. We propose a new form of the stacking surface, derived from the analytical solution for reflection traveltime from a hyperbolic reflector. Both analytical comparisons and numerical tests show that the new approximation can be significantly more accurate than the conventional CRS approximation at large offsets or at large midpoint separations while using essentially the same parameters.