Nonlinear Dynamic Analysis of Bed Load Transport

泥沙輸移過程的非線性動力學分析

周雙(ZHOU SHUANG) ； 張根廣(ZHANG GENGUANG)

《台灣水利》 67卷3期 (2019/09) Pp. 61-66

摘要

Accurately calculating bed load transport rate has been a challenge in hydraulic engineering for decades. Based on catastrophe theory, the interaction between the flow velocity and the diameter of sediment particles on the nonlinear dynamic characteristics of sediment transport process have been analyzed and a nonlinear formula was established for bed load transport. The present formula clearly described the change of sediment transport rate with the bed adjustment. By comparing with experimental data and results from previous formulas for bed load transport, the main reasons for the differences between the calculation results of different formulas were investigated. It was proved that catastrophe theory was suitable for the dynamic stability analysis of bed load transport process and could be used to compute bed load transport rate and the critical conditions for sediment motion. The match of calculated results with measured date indicated that the proposed formula has high accuracy and can be applicable to river regulation and other projects.

關鍵字

Nonlinear ； Catastrophe ； Incipient velocity ； Bed load transport ； Uniform sediment

並列摘要

為了深入研究推移質輸移問題，基於數學分析的突變理論，分析了水流作用流速、泥沙粒徑對泥沙輸移過程的非線性動力學特徵的影響，構建了非線性推移質輸沙率公式。本文公式清晰地描述了床面調整過程中輸沙率的變化情況。通過與實測數據及其它經典輸沙率公式對比，分析了不同公式之計算結果存在差異的主要原因，證實了突變理論適用於推移質輸移過程的動力學穩定性分析，可用於求解推移質輸沙率及泥沙起動臨界條件，同時證明了本文公式具有良好的適用性，可用於河道整治等工程。

並列關鍵字

非線性 ； 突變 ； 起動流速 ； 推移質輸沙率 ； 均勻沙