English

应用科学学报

• RESEARCHNOTES • 上一篇    下一篇

R/S法的径流时序复杂特性研究

燕爱玲;黄强;刘招;王义民   

  1. 西安理工大学 水利水电学院，陕西 西安 710048
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-03-20 发布日期:2007-03-20

Complicated Property of Runoff Time Series Studied with R/S Method

YAN Ai ling;HUANG Qiang;LIU Zhao;WANG Yi min   

  1. College of Water Resources and Hydropower, Xi’an University of Technology, Xi’an 710048, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-03-20 Published:2007-03-20

被引次数

97

摘要： R/S（重标极差）分析法是一种描述分形结构的有效方法.针对径流序列所具有的复杂的随机性和波动性，应用R/S分析法，通过对时变指数Hurst的计算及其检验，以新的视角对河川径流时间序列的分布特征、统计循环长度等复杂特性进行了有益探索.实际径流时间序列的计算结果表明：黄河上游径流序列服从分形分布，具有较强的状态持续性，而且拥有一定的非周期循环，这为水资源的合理开发利用提供了一种新思路和新方法.

关键词: 径流序列, R/S分析法, Hurst指数, 分形特性

Abstract: Rescaled range (R/S) analysis is a useful method in representing fractal structures. To study the complex stochastic and undulatory property of the runoff time series, an R/S method is used. Through the time varying Hurst index, complicated properties of runoff time series are investigated from a new angle. The results indicate that runoff time series in the upstream of the Yellow River follow a fractal distribution, showing a strong persistence and a certain non periodic cycle. This provides a new idea and method for the rational exploitation and utilization of the water resources.

Key words: runoff time series, R/S analytical method, Hurst index, fractal characteristic