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Inversion Study of the Shape of River Cross-sections in Ungauged Regions Based on EnKF Method
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Zhong-kai HAN1, Xian-wei LIU2, Lin QIN2, Yu-feng QIN3, Ze-feng LU4
Water Resources and Power | 2023, 41(11) : 22 - 25
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Water Resources and Power | 2023, 41(11): 22-25
HYDROLOGY, WATER RESOURCES AND ENVIRONMENT
Inversion Study of the Shape of River Cross-sections in Ungauged Regions Based on EnKF Method
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Zhong-kai HAN1, Xian-wei LIU2, Lin QIN2, Yu-feng QIN3, Ze-feng LU4
Affiliations
  • 1.Water Resources Research Institute of Shandong Province, Jinan 250013, China
  • 2.Dezhou Water Resources Bureau, Dezhou 253000, China
  • 3.Yucheng Water Resources Bureau, Yucheng 251200, China
  • 4.Shandong Province Water Transfer Project Operation and Maintenance Center Pingdu Management Station, Pingdu 266700, China
Published: 2023-11-25 doi: 10.20040/j.cnki.1000-7709.2023.20230045
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Aiming at the falling into locally optimal solution shortcomings of optimization algorithm and probability density method for inversion of river cross-sections in ungauged regions, this paper proposed a combination of Ensemble Kalman Filter (EnKF) method and particle swarm optimization algorithm (PSO). The PSO was used to initialize the missing section to form a trapezoidal initial section. Then the EnKF was used to correct the initial section, and the proposed method was verified by the ideal case. The results show that the R2 and NNSE of the model are higher than 0.99, and the relative mean square error is less than 0.04. Considering the observation errors in the engineering practice, the observation errors of 0.1%, 1%, 5% and 10% were selected to evaluate the hydrodynamic simulation errors of the missing section, the PSO initial section and the corrected section by the EnKF method. It is found that the errors are normally distributed with the selected errors, but the overall distribution is normal with different errors. But the EnKF method can maintain a high simulation accuracy with different observation errors, the R2 is higher than 0.98, the relative mean square deviation (RMSD) is less than 0.06 m, and the NNSE is higher than 0.98. Thus, the proposed method has a high feasibility.

ungauged regions  /  Ensemble Kalman Filter  /  parameter inversion  /  particle swarm optimization algorithm
Zhong-kai HAN, Xian-wei LIU, Lin QIN, Yu-feng QIN, Ze-feng LU. Inversion Study of the Shape of River Cross-sections in Ungauged Regions Based on EnKF Method[J]. Water Resources and Power, 2023 , 41 (11) : 22 -25 . DOI: 10.20040/j.cnki.1000-7709.2023.20230045
Year 2023 volume 41 Issue 11
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Article Info
doi: 10.20040/j.cnki.1000-7709.2023.20230045
  • Receive Date:2023-01-10
  • Online Date:2026-01-27
  • Published:2023-11-25
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History
  • Received:2023-01-10
  • Revised:2023-02-21
Affiliations
    1.Water Resources Research Institute of Shandong Province, Jinan 250013, China
    2.Dezhou Water Resources Bureau, Dezhou 253000, China
    3.Yucheng Water Resources Bureau, Yucheng 251200, China
    4.Shandong Province Water Transfer Project Operation and Maintenance Center Pingdu Management Station, Pingdu 266700, China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
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种数
Number of
species
占总种数比例
Percentage of total
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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