One-Dimensional Numerical Cascade Model of Runoff and Soil Loss on Convergent and Divergent Plane Soil Surfaces: Labora-Tory Assessment and Numerical Simulations

• DOI: 10.20944/preprints202409.0204.v1
• Publication Date: 2024-09-04T01:46:34Z
• Authors: Babar Mujtaba; João L. M. P. de ...; M. Isabel P. de Lima

A one-dimensional numerical overland flow model based on the cascade plane theory was de-veloped to estimate rainfall-induced runoff and soil erosion converging diverging surfaces. The includes three components: (i) infiltration using Horton’s equation, (ii) kinematic wave approximation of Saint-Venant shallow water equations for a planes, (iii) sediment transport continuity equation. model’s performance evaluated by comparing results with laboratory data from experiments rainfall simulator flume. Four independent were conducted surfaces under var-ying slope conditions. Overall, numerically simulated hydrographs graphs closely matched results, showing efficiency tested controlled then used explore impact different surface geometries loss. Seven studied: one rectangular, diverging, converging. Constant area, intensity, gradient maintained in all simulations. Results showed that increasing convergence angles led higher peak total loss, while decreasing divergence reduced them.