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Sediment residence time distributions: theory and application from bed elevation measurements

Sediment residence time distributions: theory and application from bed elevation measurements
Sediment residence time distributions: theory and application from bed elevation measurements
[1] Travel distance and residence time probability distributions are the key components of stochastic models for coarse sediment transport. Residence time for individual grains is difficult to measure, and residence time distributions appropriate to field and laboratory settings are typically inferred theoretically or from overall transport characteristics. However, bed elevation time series collected using sonar transducers and lidar can be translated into empirical residence time distributions at each elevation in the bed and for the entire bed thickness. Sediment residence time at a given depth can be conceptualized as a stochastic return time process on a finite interval. Overall sediment residence time is an average of residence times at all depths weighted by the likelihood of deposition at each depth. Theory and experiment show that when tracers are seeded on the bed surface, power law residence time will be observed until a timescale set by the bed thickness and bed fluctuation statistics. After this time, the long-time (global) residence time distribution will take exponential form. Crossover time is the time of transition from power law to exponential behavior. The crossover time in flume studies can be on the order of seconds to minutes, while that in rivers can be days to years.
2169-9011
2557-2567
Voepel, Hal
7330972a-c61c-4058-b52c-3669fadfcf70
Schumer, Rina
57f38ba2-9732-4f50-8604-0758d3b816dc
Hassan, Marwan A.
8a357cce-b94e-4d0a-a04e-ec18482c72a9
Voepel, Hal
7330972a-c61c-4058-b52c-3669fadfcf70
Schumer, Rina
57f38ba2-9732-4f50-8604-0758d3b816dc
Hassan, Marwan A.
8a357cce-b94e-4d0a-a04e-ec18482c72a9

Voepel, Hal, Schumer, Rina and Hassan, Marwan A. (2013) Sediment residence time distributions: theory and application from bed elevation measurements. Journal of Geophysical Research: Earth Surface, 118 (4), 2557-2567. (doi:10.1002/jgrf.20151).

Record type: Article

Abstract

[1] Travel distance and residence time probability distributions are the key components of stochastic models for coarse sediment transport. Residence time for individual grains is difficult to measure, and residence time distributions appropriate to field and laboratory settings are typically inferred theoretically or from overall transport characteristics. However, bed elevation time series collected using sonar transducers and lidar can be translated into empirical residence time distributions at each elevation in the bed and for the entire bed thickness. Sediment residence time at a given depth can be conceptualized as a stochastic return time process on a finite interval. Overall sediment residence time is an average of residence times at all depths weighted by the likelihood of deposition at each depth. Theory and experiment show that when tracers are seeded on the bed surface, power law residence time will be observed until a timescale set by the bed thickness and bed fluctuation statistics. After this time, the long-time (global) residence time distribution will take exponential form. Crossover time is the time of transition from power law to exponential behavior. The crossover time in flume studies can be on the order of seconds to minutes, while that in rivers can be days to years.

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More information

Accepted/In Press date: 18 September 2013
e-pub ahead of print date: 30 September 2013
Published date: December 2013
Organisations: Geography & Environment

Identifiers

Local EPrints ID: 394161
URI: https://eprints.soton.ac.uk/id/eprint/394161
ISSN: 2169-9011
PURE UUID: 4585600b-0680-43c9-bb24-16f3c7c6b663

Catalogue record

Date deposited: 11 May 2016 11:19
Last modified: 20 Nov 2017 17:33

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