A method is presented for eliminating near-surface scattered noise fro
m seismic data. Starting from an appropriately chosen background model
, a surface-consistent scattering model is determined using linearized
elastodynamic inverse scattering theory. This scattering model does n
ot necessarily equal the actual scatterer distribution, but it enables
one to calculate, approximately, the near-surface scattered part of t
he data. The method honors at least some of the complexity of the near
-surface scattering process and can be applied in cases where traditio
nal methods, like wavenumber-frequency filtering techniques and method
s for static corrections, are ineffective. From a number of tests on s
ynthetic data, we conclude that the method is rather robust; its main
sensitivity is because of errors in the determination of the backgroun
d Rayleigh-wave velocity.