基于仙农熵理论的河相关系  

Hydraulic Geometry Based on Shannons Entropy Principle

作　　者：拾兵[1] 王燕[1] 杨立鹏[1] 陈举[1] 

机构地区：[1]中国海洋大学工程学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2010年第1期95-98,共4页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(50479029;50879084)资助

摘　　要：在河流动力学理论研究中,已有的河相关系式大多是经验半经验性质的,往往不能明确地表达因素的影响,应用时具有很大的局限性。在能量均衡关系的基础上,利用仙农熵的理论,对影响沙质河床稳定河相关系的因素进行了探讨。通过理论分析,认为在取得所测河段上下边界测点相关资料后,用最大熵原理和变分法可以推导出稳定的河相关系式,最后通过试验对所得公式验证其合理性,认为其在计算试验区间任何时刻河相关系系数,均得到较好的吻合结果。Among the river dynamics theory researches, the most of relations of hydraulic geometry are with the characteristic of experience and semi-experience, the effect of hydraulic factors on the hydraulic geometry was not clearly explained and discussed, and their applications were widely limited. On the basis of conservation of energy, the paper uses Shannon entropy theory to explain and discusses the influence factors dealt with the sandy river bed stability, the concept of Shannon entropy is considered for setting up a theoretical relation of hydraulic geometry used the maximum entropy principle and variational approach, so that a stable relation of hydraulic geometry dealt with the river cross-section width, average water depth and time process is derived. In order to verify it＇s reasonable, many terrain data of border-related information at the up and down points in the compound model river are measured and analyzed, comparing the experimental data of physical mode with calculate ones at different time may find that both are a good agreement, it further proves that width adjustment of compound river keeps to energy dissipation principle and entropy law.

关 键 词：试验研究 理论分析 仙农熵 河相关系 

分 类 号：TV122[水利工程—水文学及水资源]