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Dealing with uncertainty in the probability of overtopping of a flood mitigation dam

机译:处理防洪大坝翻倒可能性的不确定性

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In recent years, copula multivariate functions were used to model, probabilistically, the most important variables of flood events: discharge peak, flood volume and duration. However, in most of the cases, the sampling uncertainty, from which small-sized samples suffer, is neglected. In this paper, considering a real reservoir controlled by a dam as a case study, we apply a structure-based approach to estimate the probability of reaching specific reservoir levels, taking into account the key components of an event (flood peak, volume, hydrograph shape) and of the reservoir (rating curve, volume–water depth relation). Additionally, we improve information about the peaks from historical data and reports through a Bayesian framework, allowing the incorporation of supplementary knowledge from different sources and its associated error. As it is seen here, the extra information can result in a very different inferred parameter set and consequently this is reflected as a strong variability of the reservoir level, associated with a given return period. Most importantly, the sampling uncertainty is accounted for in both cases (single-site and multi-site with historical information scenarios), and Monte Carlo confidence intervals for the maximum water level are calculated. It is shown that water levels of specific return periods in a lot of cases overlap, thus making risk assessment, without providing confidence intervals, deceiving.
机译:近年来,使用copula多元函数来概率地模拟洪水事件的最重要变量:流量峰值,洪水量和持续时间。但是,在大多数情况下,忽略了小样本遭受的采样不确定性。在本文中,以大坝控制的实际水库为例,我们采用一种基于结构的方法来估计达到特定水库水位的可能性,同时考虑了事件的关键组成部分(洪水峰,流量,水位形状)和储层的形状(额定曲线,体积与水深的关系)。此外,我们通过贝叶斯框架从历史数据和报告中改善了有关峰的信息,从而允许合并来自不同来源的补充知识及其相关的误差。从这里可以看出,额外的信息可能会导致推论的参数集大不相同,因此,这反映为与给定返回期相关的储层液位的强烈变化。最重要的是,在两种情况下都考虑了采样不确定性(具有历史信息场景的单站点和多站点),并计算了最大水位的蒙特卡洛置信区间。结果表明,在很多情况下,特定回水期的水位重叠,从而进行风险评估,而没有提供置信区间欺骗。

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