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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