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Title: Transport time scales in soil erosion modelling
Authors: Lisle, I.G.
Sander, Graham C.
Parlange, J.-Y.
Rose, C.W.
Hogarth, W.L.
Braddock, R.D.
Stagnitti, F.
Lockington, D.A.
Jomaa, Seifeddine
Cheraghi, Mohsen
Barry, D. Andrew
Keywords: Erosion
Analytical approximation
Issue Date: 2017
Publisher: © Soil Science Society of America
Citation: LISLE, I.G. ... et al, 2017. Transport time scales in soil erosion modelling. Vadose Zone Journal, 16 (12), doi:10.2136/vzj2017.06.0121.
Abstract: Unlike sediment transport in rivers, erosion of agricultural soil must overcome its cohesive strength to move soil particles into suspension. Soil particle size variability also leads to fall velocities covering many orders of magnitude, and hence to different suspended travel distances in overland flow. Consequently, there is a large range of inherent time scales involved in transport of eroded soil. For conditions where there is a constant rainfall rate and detachment is the dominant erosion mechanism, we use the Hairsine-Rose (HR) model to analyze these timescales, to determine their magnitude (bounds) and to provide simple approximations for them. We show that each particle size produces both fast and slow timescales. The fast timescale controls the rapid adjustment away from experimental initial conditions – this happens so quickly that it cannot be measured in practice. The slow time scales control the subsequent transition to steady state and are so large that true steady state is rarely achieved in laboratory experiments. Both the fastest and slowest time scales are governed by the largest particle size class. Physically, these correspond to the rate of vertical movement between suspension and the soil bed, and the time to achieve steady state, respectively. For typical distributions of size classes, we also find that there is often a single dominant time scale that governs the growth in the total mass of sediment in the non-cohesive deposited layer. This finding allows a considerable simplification of the HR model leading to analytical expressions for the evolution of suspended and deposited layer concentrations.
Description: This paper was accepted for publication in the journal Vadose Zone Journal and the definitive published version is available at https://doi.org/10.2136/vzj2017.06.0121
Sponsor: Support for this research was provided by the Swiss National Science Foundation grant 200021_144320.
Version: Accepted for publication
DOI: 10.2136/vzj2017.06.0121
URI: https://dspace.lboro.ac.uk/2134/26643
Publisher Link: https://doi.org/10.2136/vzj2017.06.0121
ISSN: 1539-1663
Appears in Collections:Published Articles (Architecture, Building and Civil Engineering)

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