基于尖点突变模式的河型分类及转化判别  

Cusp catastrophe model for alluvial channel regimes and classification of channel patterns

作　　者：肖毅[1] 杨研[1] 邵学军[1] 

机构地区：[1]清华大学水利水电工程系,水沙科学与水利水电工程国家重点实验室,北京100084

出　　处：《清华大学学报（自然科学版）》2012年第6期753-758,共6页Journal of Tsinghua University(Science and Technology)

基　　金：国家自然科学基金资助项目(50979043)

摘　　要：利用突变理论中的尖点突变模式研究河型分类及其转化趋势。通过选取适当的控制变量与状态参量,在尖点突变模式下进行坐标变换,推求得到了河道状态的平衡方程,并绘制出3维坐标下的平衡曲面图;依据该平衡方程选取相应的临界状态参数,对控制参平面进行2维投影,得到不同河型的判别条件。通过对100多条天然河流及试验河段资料的计算判定其河流所处状态及其河型。结果表明:基于尖点突变模式所建立的河道状态平衡曲面及河型分类判别条件能够判定现有河流所处的状态及河型,从而为实际工程中的河流整治提供参考。A cusp catastrophe model for alluvial channel regimes was developed by selecting suitable parameters to reflect the channel stability. An equation was obtained for the equilibrium state of the channel regime, which is a cusp catastrophe surface in translated three dimensional coordinates. The stability of the channel patterns can be directly identified by such a model with the 2 D projection of the cusp catastrophe surface used to classify alluvial channel patterns. Predictions based on this model are consistent with field observations involving about 100 natural rivers. The results indicate that this method can he used to study the regimes in natural rivers and to assist decision making in river engineering projects.

关 键 词：河床演变 河型转化 河型分类 突变理论 尖点突变模式 

分 类 号：TV147.1[水利工程—水力学及河流动力学]