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基于贝叶斯参数更新的高土石坝坝顶开裂风险动态评估与预警

Dynamic Evaluation and Prediction of Crest Cracking Risks for High Earth-Rockfill Dam Based on Bayesian Parameter Updating

  • 摘要: 坝顶开裂是高心墙堆石坝最常见的故障模式之一,其开裂风险与异常状态持续时间密切相关。提出了一种高土石坝坝顶开裂动态风险评估与预警方法,通过变形倾度法进行坝顶异常状态识别,采用指数分布描述坝顶开裂前异常状态持续时间TAS的概率分布,构建坝顶开裂风险评估模型,进而实现坝顶开裂风险的实时分析和基于概率的开裂时间估计,根据观测到的坝顶开裂前异常状态持续时间,对风险模型中的参数λ的概率分布进行贝叶斯估计和更新。通过某高心墙堆石坝的实例研究,验证了该方法的有效性,通过该大坝历年高水位时刻观测到的坝顶开裂情况,对风险模型参数λ进行更新,使其概率分布的离散程度逐步减小,坝顶开裂概率估计的置信区间也随之缩小,通过坝顶开裂时对应开裂概率的统计分析进行大坝开裂时间预测,基于开裂时间估计的置信区间下限发出坝顶开裂预警,结果表明,方法可以较为准确地预测坝顶开裂时间并提前20天以上发出坝顶开裂预警。

     

    Abstract: Crest cracking is one of the most common damage types for high core rockfill dams. Cracking risk of dam crest is closely related to the duration of abnormal deformation state. In this paper,a methodology for dynamic risk evaluation and early warning of crest cracking for high earth-rockfill dams is proposed. The abnormal state of the dam crest is identified by the settlement inclination method. The exponential distribution is adopted to represent the probability distribution of the duration TAS of abnormal state before crest cracking. The dam crest cracking risk assessment model is constructed to realize real-time analysis of dam crest cracking risk and probability-based cracking time estimation. Bayesian estimation and updating of probability distribution of the parameter λ in the risk model,according to observed durations of abnormal state before crest cracking. Validity of the methodology is illustrated and verified by the case study for a high core rockfill dam.Based on the dam crest cracking observed at the time of the high water level over the years,the parameter λ of risk model is updated to gradually reduce the dispersion of the probability distribution,and the confidence interval of the dam crest cracking probability estimation is also reduced. The dam cracking time is predicted by the statistical analysis of the corresponding cracking probability when the dam crest is cracked,and the early warning of crest cracking is issued based on the lower limit of the confidence interval of the cracking time estimation.The result shows that the method can predict the cracking time of the dam crest accurately and issues an early warning of crest cracking more than 20 days in advance.

     

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