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Using an ensemble Kalman filter method to calibrate parameters of a prediction model for chemical transport from soil to surface runoff

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Abstract

Water pollution from surface runoff is an important non-point pollution source, which has been a great threat to our environment. The model proposed by Gao et al. (2004) is of great significance to solve the non-point source pollution problem, which is a numerical advection-diffusion equation (ADE) model for chemical transport from soil to surface runoff. The ensemble Kalman filter (EnKF), the data assimilation (DA) method, is easy to be implemented and widely used in hydrology field. In this study, we use the EnKF method to update model state variables such as chemical concentrations in surface runoff and calibrate model parameters such as water transfer rate in Gao et al. (2004) under different study cases, while other model parameters are assumed to be known. The observations are generated from the simulation results based on synthetic real parameters. The objective of this study was to extend the application of the EnKF to the ADE-based prediction model of chemical transport from soil to surface runoff. The results of the predicted chemical concentration in the surface runoff with EnKF are greatly improved than those without EnKF in comparison with the observations, and the updated parameters are close to the real parameters. We explored feasibility of the EnKF method from six factors, including the initial parameter estimate, the ensemble size, the influence of multi-parameters, the assimilation time interval, the infiltration boundary conditions, and the relationship between the standard deviations of the observation error and initial parameter. Different study strategies are proposed for different factors. For assimilation time interval, the key observation can reduce the assimilation frequency. With the situation of much larger observation error covariance than the prediction covariance, we analyzed influences of the standard deviation of the observation error and initial parameter on the feasibility of the EnKF method. According to the study results, it is concluded that the EnKF is efficient to update the parameter for the ADE-based prediction model of chemical transport from soil to surface runoff.

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Funding

This work was partly supported by the Fundamental Research Funds for the China Major Science and Technology Program for Water Pollution Control and Treatment (Grant 2018ZX07109-002), the National Key Research and Development Program of China (Grant 2016YFC0402805), the Central Universities (Grant No. 2652018179), and the National Natural Science Foundation of China (Grants 41530316, 51209187). We also appreciate the support from the China Scholarship Council.

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Authors and Affiliations

  1. School of Water Resources and Environment, China University of Geosciences (Beijing), Beijing, 100083, People’s Republic of China

    Xiangbo Meng & Juxiu Tong

  2. Key Laboratory of Groundwater Circulation and Evolution, China University of Geosciences (Beijing), Ministry of Education, Beijing, 100083, People’s Republic of China

    Xiangbo Meng & Juxiu Tong

  3. Institute of Groundwater and Earth Sciences, Jinan University, Guangzhou, 510632, Guangdong, People’s Republic of China

    Bill X. Hu

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  1. Xiangbo Meng
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  2. Juxiu Tong
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  3. Bill X. Hu
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Correspondence to Juxiu Tong.

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Meng, X., Tong, J. & Hu, B.X. Using an ensemble Kalman filter method to calibrate parameters of a prediction model for chemical transport from soil to surface runoff. Environ Sci Pollut Res 28, 4404–4416 (2021). https://doi.org/10.1007/s11356-020-08879-x

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  • DOI: https://doi.org/10.1007/s11356-020-08879-x

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