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Aeolian Grain Transport pp 23–35Cite as

On the temporal-spatial variation of sediment size distributions

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Part of the book series: Acta Mechanica Supplementum ((ACTA MECH.SUPP.,volume 2))

Summary

A mathematical-physical model for the effect of erosion and deposition on the temporal and spatial variation of the size distributions of sediments is proposed and investigated. The model is closely related to the logarithmic hyperbolic distribution and preserves the hyperbolic shape of log-size distributions. In order to facilitate specification of the model in applications the concept of a ‘local erosion time’ is introduced. The local erosion time gives the local time scale of grain sorting changes. Explicit formulae for the temporal-spatial variation of the hyperbolic parameters predicted by the model are derived for stable bed forms and alluvial streams. The results are compared to field observations. Also the effect of the spatial gradient of the grain sorting is considered.

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Author information

Authors and Affiliations

  1. Department of Theoretical Statistics, Institute of Mathematics, Aarhus University, Ny Munkegade, Aarhus C, Denmark, DK-8000

    O. E. Barndorff-Nielsen & M. Sørensen

Authors
  1. O. E. Barndorff-Nielsen
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  2. M. Sørensen
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Editor information

Editors and Affiliations

  1. Department of Theoretical Statistics, Institute of Mathematics, University of Aarhus, Aarhus, Denmark

    Ole E. Barndorff-Nielsen

  2. Department of Engineering, University of Aberdeen, Kings College, Aberdeen, UK

    Brian B. Willetts

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© 1991 Springer-Verlag Wien

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Barndorff-Nielsen, O.E., Sørensen, M. (1991). On the temporal-spatial variation of sediment size distributions. In: Barndorff-Nielsen, O.E., Willetts, B.B. (eds) Aeolian Grain Transport. Acta Mechanica Supplementum, vol 2. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6703-8_2

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  • DOI: https://doi.org/10.1007/978-3-7091-6703-8_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82274-6

  • Online ISBN: 978-3-7091-6703-8

  • eBook Packages: Springer Book Archive

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