UPSCALING SURFACE FLOW EQUATIONS DEPENDING UPON DATA AVAILABILITY AT DIFFERENT SCALES

摘要

St. Venant equations, which are used to model sheet flows, are point-scale, depth-averaged equations, requiring data on model parameters at a very fine scale. When data are available at the scale of a hillslope transect, the point equations need to be upscaled to conserve the mass and momentum at that scale. Hillslope-scale upscaled model must be developed if data are available at that scale. The performance of the three models applied to simulate flows from non-rilled surfaces revealed that the hillslope-scale upscaied model performs as good as the point-scale model though it uses far less data. The transectionally-upscaled model slightly underestimates the observed data.