PreprintArticleVersion 1This version is not peer-reviewed
One-Dimensional Numerical Cascade Model of Runoff and Soil Loss on Convergent and Divergent Plane Soil Surfaces: Labora-Tory Assessment and Numerical Simulations
Version 1
: Received: 3 September 2024 / Approved: 3 September 2024 / Online: 3 September 2024 (07:35:45 CEST)
How to cite:
Mujtaba, B.; de Lima, J. L. M. P.; de Lima, M. I. P. One-Dimensional Numerical Cascade Model of Runoff and Soil Loss on Convergent and Divergent Plane Soil Surfaces: Labora-Tory Assessment and Numerical Simulations. Preprints2024, 2024090204. https://doi.org/10.20944/preprints202409.0204.v1
Mujtaba, B.; de Lima, J. L. M. P.; de Lima, M. I. P. One-Dimensional Numerical Cascade Model of Runoff and Soil Loss on Convergent and Divergent Plane Soil Surfaces: Labora-Tory Assessment and Numerical Simulations. Preprints 2024, 2024090204. https://doi.org/10.20944/preprints202409.0204.v1
Mujtaba, B.; de Lima, J. L. M. P.; de Lima, M. I. P. One-Dimensional Numerical Cascade Model of Runoff and Soil Loss on Convergent and Divergent Plane Soil Surfaces: Labora-Tory Assessment and Numerical Simulations. Preprints2024, 2024090204. https://doi.org/10.20944/preprints202409.0204.v1
APA Style
Mujtaba, B., de Lima, J. L. M. P., & de Lima, M. I. P. (2024). One-Dimensional Numerical Cascade Model of Runoff and Soil Loss on Convergent and Divergent Plane Soil Surfaces: Labora-Tory Assessment and Numerical Simulations. Preprints. https://doi.org/10.20944/preprints202409.0204.v1
Chicago/Turabian Style
Mujtaba, B., João L. M. P. de Lima and M. Isabel P. de Lima. 2024 "One-Dimensional Numerical Cascade Model of Runoff and Soil Loss on Convergent and Divergent Plane Soil Surfaces: Labora-Tory Assessment and Numerical Simulations" Preprints. https://doi.org/10.20944/preprints202409.0204.v1
Abstract
A one-dimensional numerical overland flow model based on the cascade plane theory was de-veloped to estimate rainfall-induced runoff and soil erosion on converging and diverging plane surfaces. The model includes three components: (i) soil infiltration using Horton’s infiltration equation, (ii) overland flow using the kinematic wave approximation of the one-dimensional Saint-Venant shallow water equations for a cascade of planes, and (iii) soil erosion based on the sediment transport continuity equation. The model’s performance was evaluated by comparing numerical results with laboratory data from experiments using a rainfall simulator and a soil flume. Four independent experiments were conducted on converging and diverging surfaces under var-ying slope and rainfall conditions. Overall, the numerically simulated hydrographs and sediment graphs closely matched the laboratory results, showing the efficiency of the model for the tested controlled laboratory conditions. The model was then used to numerically explore the impact of different plane soil surface geometries on runoff and soil loss. Seven geometries were studied: one rectangular, three diverging, and three converging. Constant soil surface area, rainfall intensity, and slope gradient were maintained in all simulations. Results showed that increasing convergence angles led to higher peak and total soil loss, while decreasing divergence angles reduced them.
Environmental and Earth Sciences, Water Science and Technology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.