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Volume 4, issue 2 | Copyright
Earth Surf. Dynam., 4, 327-342, 2016
https://doi.org/10.5194/esurf-4-327-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 20 Apr 2016

Research article | 20 Apr 2016

Bedrock incision by bedload: insights from direct numerical simulations

Guilhem Aubert, Vincent J. Langlois, and Pascal Allemand Guilhem Aubert et al.
  • Laboratoire de Géologie de Lyon, Université Claude Bernard Lyon 1/ENS de Lyon/CNRS UMR5276, Villeurbanne, France

Abstract. Bedload sediment transport is one of the main processes that contribute to bedrock incision in a river and is therefore one of the key control parameters in the evolution of mountainous landscapes. In recent years, many studies have addressed this issue through experimental setups, direct measurements in the field, or various analytical models. In this article, we present a new direct numerical approach: using the classical methods of discrete-element simulations applied to granular materials, we explicitly compute the trajectories of a number of pebbles entrained by a turbulent water stream over a rough solid surface. This method allows us to extract quantitatively the amount of energy that successive impacts of pebbles deliver to the bedrock, as a function of both the amount of sediment available and the Shields number. We show that we reproduce qualitatively the behaviour observed experimentally by Sklar and Dietrich (2001) and observe both a "tool effect" and a "cover effect". Converting the energy delivered to the bedrock into an average long-term incision rate of the river leads to predictions consistent with observations in the field. Finally, we reformulate the dependency of this incision rate with Shields number and sediment flux, and predict that the cover term should decay linearly at low sediment supply and exponentially at high sediment supply.

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We performed the first direct numerical simulations of the process by which the pebbles transported by a river repeatedly impact its bedrock and consequently contribute to its erosion. Our results are consistent with existing experimental measurements and allow us to predict the incision rate of a river as a function of its water discharge, the amount of sediment available, and the roughness of the bedrock, which is essential to study the long-term evolution of mountain ranges.
We performed the first direct numerical simulations of the process by which the pebbles...
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