部分线性矩在黔南部地区洪水频率分析中的应用
The Application of Partial L-Moments for Flood Frequency Analysis in the South of Guizhou
摘要: 黔南部地区洪水灾害严重且频繁,研究部分线性矩在该区洪水频率分析中的应用,为该区的水利防洪工程设计建设提供可靠的理论依据。本文在介绍部分线性矩原理的基础上,选取黔南部八茂、高车、惠水、贵阳、荔波、草坪头及把本7个水文站的洪峰流量资料,选用广义极值分布,将部分线性矩应用于黔南部地区洪水序列参数估计中,计算设计洪水值,并拟合洪水频率曲线,利用累积相对偏差平方和评价所得洪水频率曲线对洪峰序列的拟合效果,并与普通线性矩法的拟合成果进行比较分析。利用部分线性矩和普通线性矩对黔南部地区7个水文站洪水进行的分析表明:除了高车和草坪头站外,随着删失值F0的增大,设计值的相对偏差值越小,说明部分线性矩法对高尾部经验点据拟合效果更好,提高了大重现期设计值估算精度。因此,是一种合理有效的洪水频率分析参数估计方法,可用于黔南部地区的洪水频率计算。
Abstract: The south of Guizhou province suffers serious and frequent flood disasters. In order to provide an effi-cient and reliable theoretical basis for design of the flood control project in this area, the Partial L-moments are applied at the Bamao, Gaoche, Huishui, Guiyang, Libo, Caopingtou and Baben stations for flood frequency analysis. By estimating the parameters of Generalized Extreme Value (GEV) distribution and matching Partial L-Moments to annual maximum flow series of 7 hydrological stations, the design flood is calculated and the flood frequency curve is fitted. The cumulative squares error is used to evaluate the fitting ability of Partial L-moments and L-moments. The results show that as censored level F0 value increases, the relative deviation of the design value is smaller, except the hydrological stations of Gaoche and Caopingtou. Partial L-Moments can describe the data better in flood analysis and improve the estimation precision of design flood. Partial L-moments is a reasonable and effective method of flood frequency analysis in the south of Guizhou province.
文章引用:王俊珍. 部分线性矩在黔南部地区洪水频率分析中的应用[J]. 水资源研究, 2018, 7(4): 418-425. https://doi.org/10.12677/JWRR.2018.74047

参考文献

[1] 裘峰. 贵州成灾洪水的主要特征[J]. 贵州水力发电, 1998, 12(3): 19-21. QIU Feng. The types of disastrous floods in Guizhou. Guizhou Water Power, 1998, 12(3): 19-21. (in Chinese)
[2] 谢平, 李析男, 许斌, 等. 基于希尔伯特–黄变换的非一致性洪水频率计算方法: 以西江大湟江口站为例[J]. 自然灾害学报, 2013, 1(22): 85-94. XIE Ping, LI Xinan, XU Bin, et al. Hydrological frequency calculation method of inconsistent flood series based on Hil-ber-Huang: A case study of Dahuangjiangkou station of Xijiang River. Journal of Natural Disasters, 2013, 1(22): 85-94. (in Chinese)
[3] 詹道江, 徐向阳, 陈元芳. 工程水文学[M]. 北京: 中国水利水电出版社, 2011: 1-282. ZHAN Daojiang, XU Xiangyang, CHEN Yuanfang. Engineering hydrology. Beijing: China Water Power Press, 2011: 1-282. (in Chinese)
[4] 王俊珍, 宋松柏. 部分线性矩在洪水频率分析中的应用[J]. 水力发电学报, 2015, 12(1): 1-10. WANG Junzhen, SONG Songbai. Study on application of partial L-moments to flood frequency analysis. Journal of Hydroelectric Engineering, 2015, 12(1): 1-10. ( in Chinese)
[5] 王俊珍, 宋松柏. 具有历史洪水资料的期望矩法参数估计研究[J]. 水力发电学报, 2014, 33(2): 8-18. WANG Junzhen, SONG Songbai. Expected Moments Algorithm method for parameters estimation with consideration of historical flood. Journal of Hydroelectric Engineering, 2014, 33(2): 8-18. ( in Chinese)
[6] 邓育仁, 丁晶, 韦雪艳. 水文计算中的模糊优化适线法[J]. 水电站设计, 1995, 11(4): 43-47. DENG Yuren, DING Jing, WEI Xueyan. Fuzzy optimal curve fitting method in frequency analysis. Design of Hydroelectric Power Station, 1995, 11(4): 43-47. (in Chinese)
[7] 谢平, 郑泽权. 水文频率计算有约束加权适线法[J]. 武汉水利电力大学学报, 2000, 33(1): 49-52. XIE Ping, ZHENG Zequan. A constrained and weighted fitting method for hydrologic frequency calculation. Journal of Wuhan University of Hydraulic and Electric Engineering, 2000, 33(1): 49-52. ( in Chinese)
[8] 周芬, 郭生练, 肖义, 等. P-III型分布参数估计方法的比较研究[J]. 水电能源科学, 2003, 21(3): 10-13. ZHOU Fen, GUO Shenglian, XIAO Yi, et al. Comparative study on parameter estimation methods of Pearson type III distribution. Water Resource and Power, 2003, 21(3): 10-13. (in Chinese)
[9] BHATTARAI, K. P. Partial L-moments for the analysis of censored flood samples. Hydrological Sciences, 2004, 49(5): 855-868. [Google Scholar] [CrossRef
[10] WANG, Q. J. Using partial probability weighted moments to fit the extreme value distributions to censored samples. Water Resources Research, 1996, 32(6): 1767-1771. [Google Scholar] [CrossRef
[11] WANG, Q. J. Estimation of GEV distribution from censored samples by method of partial probability weighted moments. Journal of Hydrology, 1990, 120: 103-114.[CrossRef
[12] HOSKING, J. R. M. L-moments: Analysis and estimation of distributions using linear combinations of order statistics. Journal Royal Statistical Society, 1990, 52(2): 105-124.