Color Figures for

GREEN'S FUNCTION MONTE CARLO APPROACH TO EROSION MODELING IN COMPLEX TERRAIN

by Lubos Mitas & Helena Mitasova

paper no. 973066 presented at
The 1997 ASAE Annual International Meeting
Minneapolis Convention Center, Minneapolis, MN.
August 10-14, 1997

Summary: We present a landscape scale, bivariate model of erosion and deposition by overland flow designed for spatially complex terrain, soil and cover conditions. The underlying continuity equations are solved by Green's function Monte Carlo method, to provide robustness necessary for spatially variable conditions and high resolutions. Using this model, we analyze the impact of terrain shape on erosion/deposition pattern for detachment and transport capacity limited cases and we derive a relationship between terrain curvatures and net erosion/deposition rates. We investigate the impact of using stream power-based transport capacity equation in the model on predicted erosion/deposition pattern. The interaction of spatially variable cover and complex terrain is studied by simulations of erosion/deposition patterns for three land use designs at an experimental farm. We compare the results with the observed colluvial deposits and linear erosion features and illustrate the possible application of the model for improving the effectiveness of erosion prevention measures.

Keywords: soil erosion, distributed model, terrain curvatures, land use management


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Figure 1. Green's function Monte Carlo solution of sediment transport.

Figure 2. Comparison of features revealed by increasing the number of sampling points.

Figure 3. Comparison of observed and predicted deposition pattern.

Figure 4. Impact of critical shear stress on spatial distribution of erosion/deposition.

Figure 5. Comparison of results using two different sediment transport equations.

Figure 6. Simulation of water depth, sediment flow and net erosion/deposition for three different land use scenarios.


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