TY - JOUR
T1 - Estimation of river pollution source using the space-time radial basis collocation method
AU - Li, Zi
AU - Mao, Xian Zhong
AU - Li, Tak Sing
AU - Zhang, Shiyan
N1 - Funding Information:
This study was supported by the National Natural Science Foundation of China (no. 41176001 ), Shenzhen Science and Technology Plan project of China (JCYJ20140902110354253), and Shenzhen Key Laboratory for Coastal Ocean Dynamic and Environment (ZDSY20130402163735964), Graduate School at Shenzhen, Tsinghua University, China. We thank the editors and anonymous reviewers for their thorough reviews and constructive remarks.
Publisher Copyright:
© 2015 Elsevier Ltd.
PY - 2016/2/1
Y1 - 2016/2/1
N2 - 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.
AB - 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.
KW - Contaminant source identification
KW - Global space-time collocation model
KW - Inverse problem
KW - K-fold cross-validation
KW - Radial basis function
UR - http://www.scopus.com/inward/record.url?scp=84952783953&partnerID=8YFLogxK
U2 - 10.1016/j.advwatres.2015.11.019
DO - 10.1016/j.advwatres.2015.11.019
M3 - Article
AN - SCOPUS:84952783953
SN - 0309-1708
VL - 88
SP - 68
EP - 79
JO - Advances in Water Resources
JF - Advances in Water Resources
ER -