  The inelastic scattering of the brane fields induced by $t$-channel
gravireggeons exchanges in the RS model with a small curvature $\kappa$ is
considered, and the imaginary part of the eikonal is analytically calculated.
It is demonstrated that the results can be obtained from the corresponding
formulae previously derived in the ADD model with one extra dimension of the
size $R_c$ by formal replacement $R_c \to (\pi \kappa)^{-1}$. The inelastic
cross section for the scattering of ultra-high neutrino off the nucleon is
numerically estimated for the case $\kappa \ll \bar{M}_5 \sim 1$ TeV, where
$\bar{M}_5$ is a reduced Planck scale in five warped dimensions.
