Dual state-parameter optimal estimation of one-dimensional open channel model using ensemble Kalman filter  

作　　者：赖瑞勋 方红卫 何国建 余欣 杨明 王明 

机构地区：[1]Department of Hydraulic Engineering and State Key Laboratory of Hydroscience and Engineering, Tsinghua University [2]Yellow River Institute of Hydraulic Research

出　　处：《Journal of Hydrodynamics》2013年第4期564-571,共8页水动力学研究与进展B辑（英文版）

基　　金：Project supported by the National Basic Research and Development Program of China (973 Program, Grant No.2011CB403306);the Ministry of Water Resources’ Special Funds for Scientific Research on Public Causes (Grant No.200901023);the Central Scientific Institutes Foundation for Public Service (Grant No. HKY-JBYW-2012-5)

摘　　要：In this paper, both state variables and parameters of one-dimensional open channel model are estimated using a framework of the Ensemble Kalman Filter （EnKF）. Compared with observation, the predicted accuracy of water level and discharge are impro- ved while the parameters of the model are identified simultaneously. With the principles of the EnKF, a state-space description of the Saint-Venant equation is constructed by perturbing the measurements with Gaussian error distribution. At the same time, the rough- ness, one of the key parameters in one-dimensional open channel, is also considered as a state variable to identify its value dynamica- lly. The updated state variables and the parameters are then used as the initial values of the next time step to continue the assimilation process. The usefulness and the capability of the dual EnKF are demonstrated in the lower Yellow River during the water-sediment regulation in 2009. In the optimization process, the errors between the prediction and the observation are analyzed, and the rationale of inverse roughness is discussed. It is believed that （1） the flexible approach of the dual EnKF can improve the accuracy of predi- cting water level and discharge, （2） it provides a probabilistic way to identify the model error which is feasible to implement but hard to handle in other filter systems, and （3） it is practicable for river engineering and management.In this paper, both state variables and parameters of one-dimensional open channel model are estimated using a framework of the Ensemble Kalman Filter （EnKF）. Compared with observation, the predicted accuracy of water level and discharge are impro- ved while the parameters of the model are identified simultaneously. With the principles of the EnKF, a state-space description of the Saint-Venant equation is constructed by perturbing the measurements with Gaussian error distribution. At the same time, the rough- ness, one of the key parameters in one-dimensional open channel, is also considered as a state variable to identify its value dynamica- lly. The updated state variables and the parameters are then used as the initial values of the next time step to continue the assimilation process. The usefulness and the capability of the dual EnKF are demonstrated in the lower Yellow River during the water-sediment regulation in 2009. In the optimization process, the errors between the prediction and the observation are analyzed, and the rationale of inverse roughness is discussed. It is believed that （1） the flexible approach of the dual EnKF can improve the accuracy of predi- cting water level and discharge, （2） it provides a probabilistic way to identify the model error which is feasible to implement but hard to handle in other filter systems, and （3） it is practicable for river engineering and management.

关 键 词：Ensemble Kalman Filter （EnKF） lower Yellow River water-sediment regulation inverse problem 

分 类 号：TV133[水利工程—水力学及河流动力学]