Modelling of solute transport in rivers under different flow rates

a case study without transient storage

Renata J Romanowicz, Marzena Osuch, Stephen George Wallis

    Research output: Contribution to journalArticle

    Abstract

    A methodology to derive solute transport models at any flow rate is presented. The novelty of the proposed approach lies in the assessment of uncertainty of predictions that incorporate parameterisation based on flow rate. A simple treatment of uncertainty takes into account heteroscedastic modelling errors related to tracer experiments performed over a range of flow rates, as well as the uncertainty of the observed flow rates themselves. The proposed approach is illustrated using two models for the transport of a conservative solute: a physically based, deterministic, advection-dispersion model (ADE), and a stochastic, transfer function based, active mixing volume model (AMV). For both models the uncertainty of any parameter increases with increasing flow rate (reflecting the heteroscedastic treatment of modelling errors at different observed flow rates), but in contrast the uncertainty of travel time, computed from the predicted model parameters, was found to decrease with increasing flow rate.

    Original languageEnglish
    Pages (from-to)98-125
    Number of pages28
    JournalActa Geophysica
    Volume61
    Issue number1
    DOIs
    Publication statusPublished - 1 Feb 2013

    Keywords

    • conservative solute transport
    • advection dispersion
    • active mixing volume
    • uncertainty analysis
    • parameterisation
    • DEAD-ZONE MODEL
    • LONGITUDINAL DISPERSION
    • UNCERTAINTY ESTIMATION
    • MOUNTAIN STREAMS
    • CALIBRATION
    • PARAMETERS
    • CHANNELS

    Cite this

    Romanowicz, Renata J ; Osuch, Marzena ; Wallis, Stephen George. / Modelling of solute transport in rivers under different flow rates : a case study without transient storage. In: Acta Geophysica. 2013 ; Vol. 61, No. 1. pp. 98-125.
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    abstract = "A methodology to derive solute transport models at any flow rate is presented. The novelty of the proposed approach lies in the assessment of uncertainty of predictions that incorporate parameterisation based on flow rate. A simple treatment of uncertainty takes into account heteroscedastic modelling errors related to tracer experiments performed over a range of flow rates, as well as the uncertainty of the observed flow rates themselves. The proposed approach is illustrated using two models for the transport of a conservative solute: a physically based, deterministic, advection-dispersion model (ADE), and a stochastic, transfer function based, active mixing volume model (AMV). For both models the uncertainty of any parameter increases with increasing flow rate (reflecting the heteroscedastic treatment of modelling errors at different observed flow rates), but in contrast the uncertainty of travel time, computed from the predicted model parameters, was found to decrease with increasing flow rate.",
    keywords = "conservative solute transport, advection dispersion, active mixing volume, uncertainty analysis, parameterisation, DEAD-ZONE MODEL, LONGITUDINAL DISPERSION, UNCERTAINTY ESTIMATION, MOUNTAIN STREAMS, CALIBRATION, PARAMETERS, CHANNELS",
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    Modelling of solute transport in rivers under different flow rates : a case study without transient storage. / Romanowicz, Renata J; Osuch, Marzena; Wallis, Stephen George.

    In: Acta Geophysica, Vol. 61, No. 1, 01.02.2013, p. 98-125.

    Research output: Contribution to journalArticle

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    T1 - Modelling of solute transport in rivers under different flow rates

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    KW - UNCERTAINTY ESTIMATION

    KW - MOUNTAIN STREAMS

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    KW - CHANNELS

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