Soil Erosion by Water/Sediment Continuity

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Sediment Continuity

Overall net erosion along a hillslope as function of downslope distance $x$ may be calculated by solving a

steady state sediment continuity equation (Nearing et al., 1989):

${\frac {dG}{dx}}=D_{f,r}+D_{f,i}$   (1.31)

whereby interrill erosion $D_{f,i}$is considered to be independent of $x$. Rill erosion $D_{f,r}$is positive for detachment (eqn 1.26, cf. section → Rill Erosion) and negative for deposition (eqn 1.28).

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