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Wind tunnel measurements of the mean saltation length $L$ and of differentproxies of the mean saltation height $H$ in saturated aeolian sand transportindicate that $L$ and $H$ are relatively insensitive to both the wind speed andgrain diameter $d$. The latter result is currently unexplained and contradictsthe theoretical prediction $L\propto H\propto d$. This prediction is based onthe assumption that the characteristic velocity $\sqrt{\tilde gd}$ of bedgrains ejected by the splash of an impacting grain controls the averagesaltation kinematics. Here, we show that a recent analytical saltation modelthat considers only rebounds of saltating grains, but neglects splash ejection,is consistent with the measurements. The model suggests that the buffer layerof the inner turbulent boundary layer, which connects the viscous sublayer withthe log-layer, is partially responsible for the insensitivity of $L$ and $H$ to$d$. In combination, the measurements and model therefore indicate that splashejection, though important to sustain saltation, does not significantly affectthe average saltation kinematics. This finding represents a strong argumentagainst the Ungar and Haff (1987)-scaling and in favor of the Dur\'an et al.(2011)-scaling of the saturated saltation mass flux, with implications forripple formation on Mars. Furthermore, it supports the recent controversialclaim that this flux is insensitive to soil cohesion.

Aeolian sand transport: Scaling of mean saltation length and height and implications for mass flux scaling