能量耗散对蜿蜒河流分形结构的影响  

Energy Dissipation on Fractal Structure of the Winding River

作　　者：汪富泉[1] 

机构地区：[1]广东石油化工学院继续教育学院,广东茂名525000

出　　处：《广东石油化工学院学报》2015年第1期63-66,共4页Journal of Guangdong University of Petrochemical Technology

基　　金：国家重点基础研究发展计划(2013c B036401);国家自然科学基金(51179110)

摘　　要：为了探讨蜿蜒河流平面形态分形结构形成的物理机制,对河流能量耗散进行了定性描述,引入了负熵概念。把河床几何形态划分为若干微观状态,根据这些微观状态的信息量和熵与分形维数的关系探讨河流能量耗散对河床几何形态的影响。结果表明,河床从水流中吸入的负熵越多,其分形维数值越大,河道也愈加蜿蜒曲折。因此,蜿蜒河流平面形态分形结构形成、发育及其演变的物理机制之一可归结为河流系统的耗散性,即河床从水流中吸取负熵的多寡及其变化过程。将上述理论应用于下荆江,计算结果与实际情况比较吻合。In order to explore the physical mechanism of planar fractal structure for the winding river,the qualitative description of river＇s energy dissipation is carried on,and the negative entropy is introduced. The geometry form of the river is divided into a number of micro states. Based on the relationship between information,entropy of the microscopic state and fractal dimension,this paper tries to explore the influence of river energy dissipation on river geometry. The results show that the more negative entropy the river bed sucks from the flow,the bigger the fractal dimension value is,and more winding the river bed is. Therefore,the physical mechanism forming,developing and evolution of fractal structure of the winding river can be partly attributed to dissipation of river system. Applying these theories to the lower reaches of Jingjiang,the calculated result is in accordance with the actual situation.

关 键 词：分形 能量耗散 蜿蜒河流 下荆江 

分 类 号：TV143[水利工程—水力学及河流动力学]