分形理论在河型研究中的应用探讨  

Application of the fractal theory in the river pattern study

作　　者：王卫红[1] 徐鹏[2] 田世民[1] 

机构地区：[1]黄河水利科学研究院,河南郑州450003 [2]黄河水利职业技术学院,河南郑州475001

出　　处：《泥沙研究》2010年第2期35-42,共8页Journal of Sediment Research

基　　金：水利部公益性行业科研专项(2007SHZ1-3-01)

摘　　要：简述了当前河型研究现状、分形理论的特点方法及其目前在天然河道的应用现状,并结合分形理论对基于最小能耗率的河流演变理论进行探讨,研究了一定水沙条件下,河流能耗的分形理论表示公式,扩展了河道几何边界条件对于能量损耗的表述方法,推导了河型判别的分维数公式,并提出了目前的不足与进一步研究的方向。The fractal theory is a new tool for the study of the fluvial processes and discriminating the river patterns.This paper firstly gives a review on the current status of the river pattern study and the application of the fractal theory in the river management.On the basis of the fractal theory,the authors then make an approach to the fluvial processes based on the minimum energy dissipation rate,and obtain the expression of the river energy dissipation under certain condition of water and sediment.The describing methods on the relation of the energy dissipation and the geometric boundary condition of the river channel are supplemented. The fractal dimension formula to judge whether a river is stable is derived.At last,the shortages of the fractal theory and further research are set forth in the paper.

关 键 词：河道模型 分形理论 最小能耗率 分形特征弯曲度 河床稳定 

分 类 号：TV143[水利工程—水力学及河流动力学]