基于梯形模糊数的不确定性河道生态需水模型及其应用  

An uncertain model for ecological water demand of river based on trapezoidal fuzzy numbers and its application

作　　者：王红瑞[1] 曹玲玲[2] 许新宜[1] 韩鲁杰[1] 

机构地区：[1]北京师范大学水科学研究院水沙科学教育部重点实验室,北京100875 [2]北京师范大学数学科学学院,北京100875

出　　处：《水利学报》2011年第6期657-665,共9页Journal of Hydraulic Engineering

基　　金：国家科技支撑计划项目(2006BAB04A08)

摘　　要：将模糊数引入河道生态需水估算方法中,建立了模糊生态流速和模糊生态水力半径的概念。以抛物线型过水断面河道为例,在扩展原理的基础上,建立了流量与模糊生态流速、模糊生态水力半径的函数关系,提出了基于梯形模糊数的不确定性河道生态需水模型,设计了算法流程。以杜柯河壤塘站为例进行研究,计算并给出了其不确定性河道生态需水量的结果。最后利用Tennant法对所建模型的实用性进行了验证,并对计算结果的表达形式进行了分析。结果表明本文方法得到的结果更合理,效果更好。The fuzzy numbers was introduced to evaluate eco-environmental water demand inside a river channel, in consideration of its uncertainties. The fuzzy ecological flow velocity and ecological hydraulic radius were also proposed. Functional relationships between velocity, fuzzy ecological velocity and fuzzy ecological hydraulic radius were established based on extension principle, taking parabolic river channel as an example. An uncertain model using trapezoidal fuzzy numbers to calculate ecological water demand inside a river was suggested, and an arithmetic flow was designed to achieve this objective. The Rang＇tang hydrological station of Duke River was taken as the case study area. Expression results of uncertain eco-environmental water demand inside a river channel were given, and the practicality of the model based on trapezoidal fuzzy numbers was validated by Tennant method.

关 键 词：模糊生态流速 模糊生态水力半径 扩展原理 河道内生态需水 杜柯河壤塘站 

分 类 号：X171[环境科学与工程—环境科学]