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A mathematical model for bedrock incision in near‐threshold gravel‐bed rivers

2024/08/22 by Vanessa Gabel, Gregory E. Tucker, Benjamin Campforts · 1 voice · 3 citations
Agricultural and Biological Sciences · Earth and Planetary Sciences · Environmental Science · #Alluvium #Bed load #Bedrock #Channel (broadcasting) #Fluvial #Geological formations and processes #Geology #Geomorphology #Geotechnical engineering #Hydrology (agriculture) #Hydrology and Sediment Transport Processes #Sediment #Sediment transport #Soil erosion and sediment transport #Stream power

paper · pdf · doi:10.1002/esp.5957

published in Earth Surface Processes and Landforms 49(13), 4168-4186 (Wiley)

openalex publication_date 2024/08/22 · openalex created_date 2024/08/24 · openalex updated_date 2026/08/01

Abstract

Abstract Gravel‐bed rivers that incise into bedrock are common worldwide. These systems have many similarities with other alluvial channels: they transport large amounts of sediment and adjust their forms in response to discharge and sediment supply. At the same time, the occurrence of bedrock incision implies behaviour that falls on a spectrum between fully detachment‐limited ‘bedrock channels’ and fully transport‐limited ‘alluvial channels’. Here, we present a mathematical model of river profile evolution that integrates bedrock erosion, gravel transport and the formation of channels whose hydraulic geometry is consistent with that of near‐threshold alluvial channels. We combine theory for five interrelated processes: bedload sediment transport in equilibrium gravel‐bed channels, channel width adjustment to flow and sediment characteristics, abrasion of bedrock by mobile sediment, plucking of bedrock and progressive loss of gravel‐sized sediment due to grain attrition. This model contributes to a growing class of models that seek to capture the dynamics of both bedrock incision and alluvial sediment transport. We demonstrate the model's ability to reproduce expected fluvial features such as inverse power law scaling between slope and area, and width and depth consistent with near‐threshold channel theory, and we discuss the role of sediment characteristics in influencing the mode of channel behaviour, erosional mechanism, channel steepness and profile concavity.

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