Application of Kalman filter to identify the groundwater contaminant sources
BAI Yu-kun1,2, LU Wen-xi1,2, LI Jiu-hui1,2
1. Key Laboratory of Groundwater Resources and Environment Ministry of Education, Jilin University, Changchun 130012, China; 2. College of Environment and Resources, Jilin University, Changchun 130012, China
Abstract:Kalman filter was used to identify the number and approximate location of groundwater contaminant sources. Based on a hypothetical example, a groundwater flow and transport simulation model was established. The parameter that had the greatest impact on the simulation results was selected as a random variable by sensitivity analysis method. Then it was sampled and the sampling results were input into the simulation model by Monte Carlo method to generate the contaminant concentration field. Kalman filter method was used to update the composite concentration field one by one by using the measured concentration values at the sampling point. The fuzzy set theory was introduced to represent the pollution plume, and the weight of each potential contaminant source was updated by comparing the fuzzy sets of composite plume and individual plume. The number and approximate location of the real contaminant sources were judged according to the weight of potential contaminant sources and the convergence shape of composite plume. The results showed that the Kalman filter method can successfully identify the exact number and approximate location of the real contaminant sources in groundwater pollution; the fuzzy set theory was introduced to represent the pollution plume, and the weight of each potential contaminant source can be determined by comparing the fuzzy sets of the composite plume and the individual plume.
白玉堃, 卢文喜, 李久辉. 卡尔曼滤波方法在地下水污染源反演中的应用[J]. 中国环境科学, 2019, 39(8): 3450-3456.
BAI Yu-kun, LU Wen-xi, LI Jiu-hui. Application of Kalman filter to identify the groundwater contaminant sources. CHINA ENVIRONMENTAL SCIENCECE, 2019, 39(8): 3450-3456.
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