异参离散广义Nash汇流模型及应用
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摘要
在广义Nash汇流理论基础上发展而来的离散广义Nash汇流模型,概念明确,结构简单,便于应用,但模型中各线性水库的调蓄参数K是相同的,致使其在河道地形(坡降和断面形状)变化较大河段应用时有其局限性。通过引入异参瞬时单位线及其S曲线,在离散广义Nash汇流模型概念解析的基础上,推导得出了异参离散广义Nash汇流模型,从而丰富了现有广义Nash汇流理论,扩大了离散广义Nash汇流模型的适用范围。实例分析表明,由于考虑了参数K的空间异质性,异参离散广义Nash汇流模型可以进一步提高河道洪水的模拟精度。
The discrete generalized Nash model(DGNM), developed on the basis of the generalized Nash flow routing theory,is clear in concept,simple in structure and easy to apply. However,the storage parameter K of each linear reservoir in the model is uniform, which restricts its application in the reach where the river topography(slope and channel shape) changes greatly. The instantaneous unit hydrograph with unequal storage parameters and its S curve are introduced. The DGNM with unequal storage parameters is derived based on the further conceptual interpretation of the DGNM, which enriches the existing generalized Nash flow routing theory and expands the application scope of the DGNM. The case study shows that the modified DGNM, with the consideration of the spatial heterogeneity of parameter K, can further improve the accuracy of river flood simulation.
The discrete generalized Nash model(DGNM), developed on the basis of the generalized Nash flow routing theory,is clear in concept,simple in structure and easy to apply. However,the storage parameter K of each linear reservoir in the model is uniform, which restricts its application in the reach where the river topography(slope and channel shape) changes greatly. The instantaneous unit hydrograph with unequal storage parameters and its S curve are introduced. The DGNM with unequal storage parameters is derived based on the further conceptual interpretation of the DGNM, which enriches the existing generalized Nash flow routing theory and expands the application scope of the DGNM. The case study shows that the modified DGNM, with the consideration of the spatial heterogeneity of parameter K, can further improve the accuracy of river flood simulation.
引文
[1]任立良,江善虎,袁飞,等.水文学方法的演进与诠释[J].水科学进展,2011,22(4):586-592.
[2]闫宝伟,郭生练,周建中. Nash瞬时单位线推演河道汇流的完整公式[J].水科学进展,2014,25(3):428-434.
[3] YAN B,GUO S,LIANG J,et al. The generalized Nash model for river flow routing[J]. Journal of Hydrology,2015,530:79-86.
[4]闫宝伟,于雨,郭生练,等.离散广义Nash汇流模型及其在河道洪水演算中的应用[J].水利学报,2017,48(7):773-778.
[5]芮孝芳.水文学原理[M].北京:中国水利水电出版社,2004.
[6]张文华,郭生练,李超群.异参K的瞬时单位线研究[J].水文,2009,29(3):1-5.
[7] SINGH K P. Nonlinear instantaneous unit-hydrograph theory[J]. Journal of the Hydraulics Division,Proceedings of ASCE,1964,90(HY2):313-347.
[8] BHUNYA P K,SINGH P K,MISHRA S K,et al. A variable storage coefficient model for rainfall-runoff computation[J]. Hydrological Science Journal,2008,53(2):338-352.
[9]林云发.汉江中游近期冲刷状况浅析[J].长江科学院院报,2015,32(9):1-5,20.
[10] DUAN Q,SOROOSHIAN S,GUPTA V K. Optimal use of the SCE-UA global optimization method for calibrating watershed models[J]. Journal of Hydrology,1994,158(3/4):265-284.
[2]闫宝伟,郭生练,周建中. Nash瞬时单位线推演河道汇流的完整公式[J].水科学进展,2014,25(3):428-434.
[3] YAN B,GUO S,LIANG J,et al. The generalized Nash model for river flow routing[J]. Journal of Hydrology,2015,530:79-86.
[4]闫宝伟,于雨,郭生练,等.离散广义Nash汇流模型及其在河道洪水演算中的应用[J].水利学报,2017,48(7):773-778.
[5]芮孝芳.水文学原理[M].北京:中国水利水电出版社,2004.
[6]张文华,郭生练,李超群.异参K的瞬时单位线研究[J].水文,2009,29(3):1-5.
[7] SINGH K P. Nonlinear instantaneous unit-hydrograph theory[J]. Journal of the Hydraulics Division,Proceedings of ASCE,1964,90(HY2):313-347.
[8] BHUNYA P K,SINGH P K,MISHRA S K,et al. A variable storage coefficient model for rainfall-runoff computation[J]. Hydrological Science Journal,2008,53(2):338-352.
[9]林云发.汉江中游近期冲刷状况浅析[J].长江科学院院报,2015,32(9):1-5,20.
[10] DUAN Q,SOROOSHIAN S,GUPTA V K. Optimal use of the SCE-UA global optimization method for calibrating watershed models[J]. Journal of Hydrology,1994,158(3/4):265-284.