摘要
以长江干流水富至朱沱段为研究对象,建立一维非恒定分形数学模型,将研究河段分作3段,以岷江、沱江汇流口作为分界,计算各分段河道纵剖面分维数。研究表明:纵剖面分维数呈二阶分维特性,且整体分维数小于分段分维数;整体分维数不等于各分段分维数算术平均值;纵剖面分维数随流量增大而不断减小;各分段河道纵坡降随纵剖面分形维数的变化形态类似波形。
Taking Shuifu to Zhutuo section in mainstream of the Yangtze River as the research object, an unsteady and fraetal mathematics model with one-dimension was established. The studied section was divided into 3 segments, and the confluence of Minjiang River and Tuojiang River was taken as a demarcation. The fractal dimension of longitudinal section in river profile was calculated. The research indicates that： the fractal dimension of longitudinal section has two order fractal characteristics, and the overall fractal dimension is smaller than that of the piecewise. The value of overall fractal dimension is not equal to the arithmetic mean of fractal dimension of various sections. Fractal dimension of longitudinal section decreases as the flow increases. The longitudinal slope in various sections of river course is changing with the fraetal dimension of longitudinal section, whose morphology is similar to the wave shape.
出处
《重庆交通大学学报（自然科学版）》
CAS
北大核心
2017年第7期58-65,72,共9页
Journal of Chongqing Jiaotong University(Natural Science)
基金
国家重点基础研究发展计划项目(2016YFC0402104)
重庆市基础与前沿研究计划项目(cstc2016jcyjA0380)
省部共建水利水运工程教育部重点实验室暨国家内河航道整治工程技术研究中心开放基金项目(SLK2016B03)
内河航道整治技术交通行业重点实验室开放基金项目(NHHD-201514)
关键词
航道工程
纵剖面
非恒定流
分形维数
变维分形
数值模拟
waterway engineering
longitudinal section
unsteady flow
fractal dimension
variable dimension fractal
numerical simulation
