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)^[1]:

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

↑ Nearing, M., Foster, G., Lane, L., and Finkner, S. (1989). A process-based soil erosion model for usda-water erosion prediction project technology. Transactions of the American Society of Agricultural Engineers, 32(5):1587–1593.

[1] Nearing, M., Foster, G., Lane, L., and Finkner, S. (1989). A process-based soil erosion model for usda-water erosion prediction project technology. Transactions of the American Society of Agricultural Engineers, 32(5):1587–1593.

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