基于断面形态的多站水力几何法适应性分析

Applicability analysis of the at-many-stations hydraulic geometry method based on cross-sectional morphology

  • 摘要: 针对高山峡谷河流断面形态复杂导致多站水力几何法(AMHG)流量反演稳定性不足的问题,基于哨兵2影像提取金沙江上游枯、平、汛期断面形态特征,通过K均值聚类将断面分为单侧开敞不对称型(T1)、两侧开敞不对称型(T2)、两侧开敞对称型(T3)和对称窄深型(T4),并分析不同形态条件下AMHG宽度指数和流量反演精度差异。研究结果表明:①T1型断面中度开敞与轻度不对称,有利于维持宽度—流量幂律关系稳定,其中第13类断面表现较优,除巴塘站外,纳什效率系数大于0.74,相关系数大于0.90;T2型受滩地淹没与横向动量交换影响,参数离散度高;T3与T4型因能量均衡或地形约束,AMHG敏感性弱。②枯汛宽度比与宽度—流量幂律指数(b)呈显著负相关(r≈− 0.66),控制b的单调变化趋势,而汛期水流偏离度与b呈显著正相关(r≈0.67),在高分位区引发离散性跃升,体现为“梯度控制”与“阈值放大”效应。说明断面形态通过调控河宽响应特征影响AMHG参数稳定性,形态分类可为复杂山区无资料河流AMHG适用性判别与断面筛选提供依据。

     

    Abstract: The complex cross-sectional morphology of alpine gorge rivers often reduces the stability of discharge retrieval using the at-many-stations hydraulic geometry (AMHG) method. Focusing on this problem, this study extracted cross-sectional morphological characteristics of the upper Jinshajiang River (China) during dry, normal-flow, and flood seasons from Sentinel-2 images. K-means clustering was adopted to classify the river sections into four types: unilateral open asymmetric sections (T1), bilateral open asymmetric sections (T2), bilateral open symmetric sections (T3), and symmetric narrow-deep sections (T4). Variations in the AMHG width exponent and discharge retrieval accuracy under different morphological conditions were further analyzed. Results indicated that T1 sections, characterized by moderate openness and slight asymmetry, are conducive to maintaining a stable width—discharge power-law relationship. Among them, subclass 13 exhibited better performance; except for the Batang Station, the Nash-Sutcliffe efficiency coefficient was >0.74 and the correlation coefficient was >0.90. T2 sections are strongly affected by floodplain inundation and lateral momentum exchange, resulting in high parameter dispersion. T3 and T4 sections show weak AMHG sensitivity because of energy equilibrium or topographic constraints. The dry-to-flood-season width ratio revealed a statistically significant negative correlation with the width—discharge power-law exponent b (r≈−0.66), controlling for the monotonic variation of b. In contrast, flood-season flow deviation had a statistically significant positive correlation with b (r≈0.67), causing a sharp increase in dispersion in the upper quantiles, which reflects gradient-control and threshold-amplification effects. These findings indicate that cross-sectional morphology affects AMHG parameter stability by regulating river-width response characteristics. Morphology-based classification can provide a basis for assessing AMHG applicability and selecting suitable sections in ungauged rivers in complex mountainous regions.

     

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