• 气候变化与地表过程 •

### 黄河下游水沙关系模型参数随河段距离变化规律

1. 1.华北水利水电大学,郑州 450045
2.东营市水务局,东营 257091
3.长江科学院,武汉 430010
• 收稿日期:2021-02-22 修回日期:2021-12-30 出版日期:2022-03-25 发布日期:2022-05-25
• 作者简介:申红彬(1981-), 男, 河南安阳人, 博士, 讲师, 主要从事水文学、河流动力学方面的研究工作。E-mail: hongbinshen2012@163.com
• 基金资助:
国家自然科学基金项目(51809013);城市水循环与海绵城市技术北京市重点实验室开放基金(HYD2019OF02)

### Parameters variation law with distance in the discharge-sediment relation model of the Lower Yellow River

SHEN Hongbin1(), CAO Bing2, WU Huali3, QIAO Wei3

1. 1. North China University of Water Resources and Electric Power, Zhengzhou 450045, China
2. Dongying Water Authority, Dongying 257091, Shandong, China
3. Changjiang (Yangtze) River Scientific Research Institute, Wuhan 430010, China
• Received:2021-02-22 Revised:2021-12-30 Published:2022-03-25 Online:2022-05-25
• Supported by:
National Natural Science Foundation of China(51809013);Opening Foundation of Beijing Key Laboratory of Urban Hydrological Cycle and Sponge City Technology(HYD2019OF02)

Abstract:

The discharge-sediment relation model is an important research technique in river dynamics. Previous studies established a statistical relationship between the sediment transport rate and the flow discharge that follows a power-law form, shown as Qs=AQ b. Studies have also shown that how to determine the model parameters is an important question. However, for heavy sediment-laden rivers, the discharge-sediment relation model is often expressed by a modified power-law relationship between the sediment transport rate and flow discharge, as well as an upstream sediment supply function: Qs=KSuaQb, where the model parameters become more complex. Essentially, the modified model reflects a non-equilibrium sediment transport law, and model parameters including coefficient K and exponents a and b are mainly influenced by river boundary geomorphologic conditions. As an important index reflecting the spatial scale along the river, distance has an important impact on the modified model parameters, namely, coefficient K and exponents a and b. Taking the Lower Yellow River as the research object, we studied the variation laws of the model coefficient K and indexes a and b with distance. The results showed that the exponent a decreases exponentially with the increase of downstream distance; the coefficient K decreases with the increase of downstream distance and has a positive exponential correlation with the exponent a; the exponent b increases with the increase of downstream distance and has a negative linear correlation with the exponent a; and the sum of exponents a and b is about 2.0. From that, the calculation expressions of model coefficient K and exponents a and b varying with the distance were established. As such, it can be regarded as the parameter supplementary equations for the discharge-sediment relation model. Simulation results of sediment transport along the Lower Yellow River showed that the trend of calculated sediment concentrations are consistent with that of measured sediment concentrations. The values of the determination coefficient and Nash-Sutcliffe efficiency are 0.96 and 0.93, respectively. This study helps us to have a better understanding of the physical meaning and exploration of calculation methods for the discharge-sediment relation model parameters in heavy sediment-laden rivers.