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基于分数阶对流扩散方程的悬沙垂向分布
引用本文:贺莉,陈东,段光磊,朱振慧,张世彦,刘萌.基于分数阶对流扩散方程的悬沙垂向分布[J].河海大学学报(自然科学版),2018,46(5):418-424.
作者姓名:贺莉  陈东  段光磊  朱振慧  张世彦  刘萌
作者单位:中国科学院地理科学与资源研究所;长江水利委员会荆江水文与水资源调查局;中国科学院大学资源与环境学院
基金项目:国家重点研发计划(2016YFC0402303);国家自然科学基金(51579230,51279192)
摘    要:为模拟荆江河段的悬移质含沙量在近底区域内异常偏高的分布特性,对比分析了平衡态方程(Rouse公式)、非平衡态方程(韩其为公式)和分数阶方程在描述荆江河段次饱和悬沙垂向分布的适用性。分析结果表明:平衡态方程不能描述强次饱和态悬移质含沙量的垂向分布特性,非平衡态方程在水深大部分区域应用较好但不适用于近底区域,分数阶方程可以较好地描述强次饱和水体含沙量在全部水深区域包括近底层的异常变化,但对公式中新出现的分数阶参数需合理取值。

关 键 词:次饱和输沙  悬移质含沙量  悬沙垂向分布  近底含沙量  分数阶方程

Vertical distribution of suspended sediment based on the fractional advection-diffusion equation
HE Li,CHEN Dong,DUAN Guanglei,ZHU Zhenhui,ZHANG Shiyan and LIU Meng.Vertical distribution of suspended sediment based on the fractional advection-diffusion equation[J].Journal of Hohai University (Natural Sciences ),2018,46(5):418-424.
Authors:HE Li  CHEN Dong  DUAN Guanglei  ZHU Zhenhui  ZHANG Shiyan and LIU Meng
Institution:Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China,Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China,Jingjiang Hydrology & Water Resources Surveying Bureau, Yangtze River Water Resources Commission, Jingzhou 434002, China,Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China; College of Resources and Environment, University of Chinese Academy of Sciences, Beijing 100049, China,Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China and Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China; College of Resources and Environment, University of Chinese Academy of Sciences, Beijing 100049, China
Abstract:
Keywords:unsaturated sediment transport  suspended sediment concentration  vertical distribution of suspended sediment  sand content near the riverbed  fractional equation
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