Estimation of river pollution source using the space-time radial basis collocation method

Li, Zi, Mao, Xian-Zhong, Li, Tak Sing and Zhang, Shiyan (2016) Estimation of river pollution source using the space-time radial basis collocation method. Advances in Water Resources, 88 68-79. doi:10.1016/j.advwatres.2015.11.019

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Author Li, Zi
Mao, Xian-Zhong
Li, Tak Sing
Zhang, Shiyan
Title Estimation of river pollution source using the space-time radial basis collocation method
Journal name Advances in Water Resources   Check publisher's open access policy
ISSN 0309-1708
Publication date 2016-02-01
Year available 2016
Sub-type Article (original research)
DOI 10.1016/j.advwatres.2015.11.019
Open Access Status File (Author Post-print)
Volume 88
Start page 68
End page 79
Total pages 12
Place of publication Kidlington, Oxford, United Kingdom
Publisher Pergamon Press
Language eng
Formatted abstract
River contaminant source identification problems can be formulated as an inverse model to estimate the missing source release history from the observed contaminant plume. In this study, the identification of pollution sources in rivers, where strong advection is dominant, is solved by the global space-time radial basis collocation method (RBCM). To search for the optimal shape parameter and scaling factor which strongly determine the accuracy of the RBCM method, a new cost function based on the residual errors of not only the observed data but also the specified governing equation, the initial and boundary conditions, was constructed for the k-fold cross-validation technique. The performance of three global radial basis functions, Hardy's multiquadric, inverse multiquadric and Gaussian, were also compared in the test cases. The numerical results illustrate that the new cost function is a good indicator to search for near-optimal solutions. Application to a real polluted river shows that the source release history is reasonably recovered, demonstrating that the RBCM with the k-fold cross-validation is a powerful tool for source identification problems in advection-dominated rivers.
Keyword Contaminant source identification
Global space-time collocation model
Inverse problem
K-fold cross-validation
Radial basis function
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
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