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      山区小流域洪峰流量的临界突变现象

      Critical transition of peak discharge in small mountainous basins

      • 摘要: 山区小流域在强降雨等水文扰动下易发生径流响应滞后性减弱、洪峰流量骤增的现象。本研究以汶川地震灾区典型小流域为研究对象,基于高时间分辨率的实测降雨与径流数据,耦合SCS水文模型,系统设置多种降雨模式(包括历时、雨强等)及关键参数敏感性组合,开展多情景水文模拟试验,定量分析多场降雨过程中洪峰流量的临界突变条件,揭示震后山地小流域产汇流机制的非线性响应特征。研究发现:洪峰流量突变点对应的降雨量(Pt)随CN值增大呈幂律减小(Pt =50712·CN -1.65);不同降雨量条件下,洪峰流量突变点对应的CN随总雨量(P)增大呈幂律递减(CNt = 228.88·P -0.36);当降雨条件突破该临界组合后,洪峰流量进入线性响应阶段,与总降雨量及CN值均呈显著正相关。在总降雨量一致的前提下,雨型对产流及突变点的影响存在显著差异:降雨峰值越前置,对应的突变CN值越高,且突变发生后洪峰流量的增幅率最低。而在相同总降雨量、雨型及CN值条件下,流域面积变化未引起洪峰流量突变点位置的系统性偏移,表明在此尺度范围内,流域面积并非产流突变的主导控制因子。本研究定量刻画了小流域产流响应的非线性突变临界条件,所构建的多情景协同判据可为山洪灾害预警等防灾减灾工作提供理论依据。

         

        Abstract: In mountainous small watersheds, intense rainfall and other hydrological disturbances commonly induce a reduction in runoff response lag and a sharp, nonlinear increase in peak flow. Focusing on a representative small watershed in the Wenchuan earthquake-affected region, this study integrates high-temporal-resolution field measurements of rainfall and runoff with the Soil Conservation Service (SCS) hydrological model. Multiple scenario simulations integrating rainfall patterns (e.g., duration, intensity, etc.) and key model parameters were conducted. Therefore, we quantitatively identify the critical conditions governing peak flow mutation and elucidate the nonlinear behavior of runoff generation. Results show that the critical rainfall depth triggering peak flow mutation (Pt) decreases as a power function of the CN value (Pt =50712·CN -1.65); conversely, the critical CN value decreases with total rainfall (P) according to CNt = 228.88·P -0.36. Once either threshold is exceeded, peak flow transitions into a linear response regime, exhibiting statistically significant positive correlations with both P and CN. Under constant total rainfall, the rainfall pattern exerts a pronounced control on both runoff yield and abrupt thresholds: earlier rainfall peaks correspond to higher CN values and the lowest post-mutation peak flow growth rates. In contrast, when total rainfall, rainfall pattern, and CN are held constant, variations in watershed area produce negligible shifts in the peak flow abrupt point, confirming that area is not a dominant control on runoff mutation. This work establishes a physically interpretable, multi-variable framework for nonlinear runoff response and provides a theoretical basis for disaster prevention and mitigation work such as flash flood early warning.

         

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