Sonnenwald, F., Stovin, V.R. and Guymer, I. (2013) Configuring maximum entropy deconvolution for the identification of residence time distributions in solute transport applications. Journal of Hydrologic Engineering. Oct. 24, 2013. ISSN 1084-0699
Abstract
The advection-dispersion equation (ADE) or aggregated dead zone (ADZ) models and their derivatives are frequently used to describe mixing processes within rivers, channels, pipes, and urban drainage structures. The residence time distribution (RTD) provides a non-parametric model that may describe mixing effects in complex mixing contexts more completely. Identifying an RTD from laboratory data requires deconvolution. Previous studies have successfully applied maximum entropy deconvolution to solute transport data, with RTD sub-sampling used for computational simplification. However, this requires a number of configuration settings which have to date not been rigorously investigated. Four settings are investigated here: the number and distribution of sample points, the constraint function, and the maximum number of iterations. Configuration options for each setting have been systematically assessed with reference to representative solute transport data by comparing the goodness-of-fit of recorded and predicted downstream profiles using the Nash-Sutcliffe Efficiency Index, evaluating RTD smoothness with a measure of entropy, and through consideration of the mass-balance of the RTD. New methods for defining sample point distribution are proposed. The results indicate that goodness-of-fit is most sensitive to constraint function and that smoothness is most sensitive to the number and distribution of sample points. A set of configuration options that includes a new sample point distribution is shown to perform robustly for a representative range of laboratory solute transport data.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2013 ASCE. This is an author produced version of a paper subsequently published in Journal of Hydrologic Engineering. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 23 Apr 2014 09:18 |
Last Modified: | 29 Mar 2018 01:10 |
Published Version: | http://dx.doi.org/10.1061/(ASCE)HE.1943-5584.00009... |
Status: | Published |
Publisher: | ASCE |
Refereed: | Yes |
Identification Number: | 10.1061/(ASCE)HE.1943-5584.0000929 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:78237 |