Deriving Design Flood Hydrograph Based on Conditional Distribution: A Case Study of Danjiangkou Reservoir in Hanjiang Basin
Joint Authors
Xu, Changjiang
Yin, Jiabo
Guo, Shenglian
Liu, Zhangjun
Hong, Xingjun
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-10
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Design flood hydrograph (DFH) for a dam is the flood of suitable probability and magnitude adopted to ensure safety of the dam in accordance with appropriate design standards.
Estimated quantiles of peak discharge and flood volumes are necessary for deriving the DFH, which are mutually correlated and need to be described by multivariate analysis methods.
The joint probability distributions of peak discharge and flood volumes were established using copula functions.
Then the general formulae of conditional most likely composition (CMLC) and conditional expectation composition (CEC) methods that consider the inherent relationship between flood peak and volumes were derived for estimating DFH.
The Danjiangkou reservoir in Hanjiang basin was selected as a case study.
The design values of flood volumes and 90% confidence intervals with different peak discharges were estimated by the proposed methods.
The performance of CMLC and CEC methods was also compared with conventional flood frequency analysis, and the results show that CMLC method performs best for both bivariate and trivariate distributions which has the smallest relative error and root mean square error.
The proposed CMLC method has strong statistical basis with unique design flood composition scheme and provides an alternative way for deriving DFH.
American Psychological Association (APA)
Xu, Changjiang& Yin, Jiabo& Guo, Shenglian& Liu, Zhangjun& Hong, Xingjun. 2016. Deriving Design Flood Hydrograph Based on Conditional Distribution: A Case Study of Danjiangkou Reservoir in Hanjiang Basin. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1112182
Modern Language Association (MLA)
Xu, Changjiang…[et al.]. Deriving Design Flood Hydrograph Based on Conditional Distribution: A Case Study of Danjiangkou Reservoir in Hanjiang Basin. Mathematical Problems in Engineering No. 2016 (2016), pp.1-16.
https://search.emarefa.net/detail/BIM-1112182
American Medical Association (AMA)
Xu, Changjiang& Yin, Jiabo& Guo, Shenglian& Liu, Zhangjun& Hong, Xingjun. Deriving Design Flood Hydrograph Based on Conditional Distribution: A Case Study of Danjiangkou Reservoir in Hanjiang Basin. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1112182
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112182