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工程科学与技术:2022,54(2):113-121
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基于信息熵理论的黄土高原小流域雨量站网优化
(1.长江水利委员会 长江科学院, 湖北 武汉 430010;2.水利部 山洪地质灾害防治工程技术研究中心, 湖北 武汉 430010;3.长江勘测规划设计有限责任公司, 湖北 武汉 430010;4.四川大学 水力学与山区河流开发保护国家重点实验室, 四川 成都 610065)
Rainfall Networks Optimization in Small Catchment of Loess Plateau Based on Information Entropy
(1.Changjiang River Scientific Research Inst. of Changjiang Water Resources Commission, Wuhan 430010, China;2.Research Center on Mountain Torrent Geological Disaster Prevention of Ministry of Water Resources, Wuhan 430010, China;3.Changjiang Survey, Planning, Design and Research Co., Ltd., Wuhan 430010, China;4.State Key Lab. of Hydraulics and Mountain River Eng., Sichuan Univ., Chengdu 610065, China)
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投稿时间:2021-02-07    修订日期:2021-09-16
中文摘要: 地面雨量站是降水数据最直接的来源,合理的雨量站点密度与空间布局能准确反映流域面雨量,对于构建流域水文模型至关重要。以黄土高原岔巴沟流域为研究对象,采用2001—2010年流域内11个地面雨量站的日、周、15 d时间尺度降雨量序列,以信息熵理论为基础,基于最大信息最小冗余准则(MIMR),分析11个地面雨量站之间降雨的信息相互关系和信息传递规律,并结合流域多年降雨时空分布特征,对岔巴沟流域雨量站网进行优化。结果表明:岔巴沟流域降雨量在2001—2010年间无明显变化趋势,降雨空间分布呈由西南到东北递减趋势;不同时间尺度降雨序列的联合熵、互信息、冗余信息变化总体相同;总体信息随站点增多趋向稳定,站点之间传递的信息越来越少,冗余信息越来越多;另外,随着时间尺度变大,联合熵稳定越快,冗余信息越多。依据流域雨量站点间信息熵变化规律,对岔巴沟流域雨量站网进行了优化,确定不同时间尺度下的流域最佳雨量站密度和分布,优化后的流域雨量站网能较好的反映流域降雨信息。研究结果可为今后流域雨量站网的优化布局提供理论依据。
Abstract:Precipitation information is mainly collected by ground monitoring networks. Rainfall stations contain the fundamental input for planning, design, operation, and management of water resources systems. Reasonable rainfall gauges, which are effective and efficient in gathering precipitation information have received considerable attention. In order to analyze the relationship between rainfall information of 11 ground rainfall stations in Chabagou small catchment of the Loess Plateau, precipitation series from 2001 to 2010 were organized into appropriate sampling intervals (1-day, weekly, 15-days). Based on the information entropy theory and Maximum Information Minimum Redundancy criterion (MIMR), with the use of the spatial and temporal distribution characteristics of multi-year average precipitation, the existing rainfall station network in Chabagou catchment were evaluated and optimized. The results show that the rainfall in Chabagou catchment did not change significantly during the study period, and the rainfall showed a decreasing trend from southwest to northeast from 2001 to 2010. The changes of the joint entropy, the mutual joint information and the redundant information of rainfall series at different time scales were generally the same, and the joint information tended to be stable with the increase of stations. While the information transmitted between stations was less and less, the redundant information was more and more. With the increase of time scales, the joint entropy became more stable quickly and the redundant information became more. According to the variation of information entropy among rainfall stations in the Chabagou catchment, the rainfall station network was optimized, and the optimal density and distribution of rainfall stations in catchment at different time scales were determined. The optimized rainfall station network can reflect the rainfall information in the basin. The research results can provide a theoretical basis for the optimal layout of rainfall station network in the future.
文章编号:202100137     中图分类号:P339    文献标志码:
基金项目:国家重点研发计划项目(2019YFC1510705-05;2017YFC1502500);长江科学院科研院所基本科研业务费(CKSF2019185/TB)
作者简介:第一作者:丁文峰(1975-),男,教授级高级工程师.研究方向:山洪灾害.E-mail:dingwf@mail.crsri.cn
引用文本:
丁文峰,韩昊宇,王协康,郭宜薇,王一然.基于信息熵理论的黄土高原小流域雨量站网优化[J].工程科学与技术,2022,54(2):113-121.
DING Wenfeng,HAN Haoyu,WANG Xiekang,GUO Yiwei,WANG Yiran.Rainfall Networks Optimization in Small Catchment of Loess Plateau Based on Information Entropy[J].Advanced Engineering Sciences,2022,54(2):113-121.