A qualitative comparison of the first-order Born and Rytov approximations
, by Marta Jo Woodward
Many papers have been written on the relative merits of the first-order Born and Rytov
approximations. They concur on the superiority of the Born approximation for describing
reflected energy and of the Rytov for describing transmitted energy. This paper illustrates
these conclusions through analysis of the approximations as they are applied to the
synthetic, cross-hole geometry experiment of SEP-57 (Woodward, 1988). Qualitative
comparisons are made between both: the velocity inversions resulting from Born and Rytov
implementations of wave-equation tomography, and the error terms in the corresponding
wave equations.
STANFORD