文章摘要
基于K-L展开法考虑土体参数空间变异性的土石坝坝坡可靠度分析
Reliability analysis of earth rock dam slope considering spatial variability of soil parameters based on K-L expansion method
投稿时间:2024-01-31  修订日期:2024-05-06
DOI:
中文关键词: 坝坡,可靠度,空间变异性,Karhunen-Loève (K-L)展开法
英文关键词: dam slope, reliability, spatial variability, Karhunen-Loève expansion method
基金项目:国家自然科学(52178369); 河南省优秀青年基金(232300421069); 中原科技创新领军人才(234200510014);河南省高校科技创新人才支持计划(24HASTIT014)
作者单位邮编
王钰轲* 郑州大学 水利与交通学院 450001
邵琳岚 郑州大学 水利与交通学院 
万愉快 宁夏大学 
余翔 郑州大学 水利与交通学院 
张蓓 郑州大学 水利与交通学院 
钟燕辉 郑州大学 水利与交通学院 
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中文摘要:
      针对传统土石坝坝坡稳定性分析方法在处理土体参数空间变异性时的局限性,本文提出了一种基于Karhunen-Loève(K-L)展开法的土石坝坝坡可靠度分析方法。首先建立了坝坡土体参数的随机场模型,该模型考虑了其在空间上的不确定性与随机性。在此基础上,运用蒙特卡洛模拟法对坝坡的可靠度进行评估。通过对土体参数变异系数、自相关距离、相关系数的敏感性分析,研究了上述参数对坝坡失效概率、安全系数以及潜在滑面分布的影响。结果表明,土石坝坝坡土体参数的空间变异性对坝坡可靠度有显著的影响,其中,内摩擦角变异系数、竖直自相关距离、相关系数对坝坡可靠度的影响较大。当内摩擦角变异系数由0.1增至0.4时,坝坡失效概率增加了32.55%;当竖直自相关距离由1m增至4m时,坝坡失效概率增加了2.1%;当相关系数由-0.8增至0.5时,坝坡失效概率增加了3.85%。
英文摘要:
      The stability of the dam slope of Gaobazhou Hydropower Station is critical to ensure structural safety and effective power generation. In view of the limitations of traditional dam slope stability analysis methods in dealing with the spatial variability of soil parameters, a dam slope reliability analysis method based on Karhunen-Loève (K-L) expansion method is proposed in this paper. A random field model of the dam slope soil parameters is first developed, for which the spatial uncertainty and stochasticity are taken into account. On this basis, the Monte Carlo simulation method is used to evaluate the reliability of the dam slope of Gaobazhou Hydropower Station. Through the sensitivity analysis of variation coefficient, autocorrelation distance and variation coefficient of soil parameters, the effects of these parameters on slope failure probability, safety factor and potential slip surface distribution are studied. The results show that the spatial variability of soil parameters on the dam slope of Gaobazhou Hydropower Station has a significant impact on the stability. The variation coefficient of cohesion, vertical autocorrelation distance and correlation coefficient have a greater impact on the dam slope reliability. When the coefficient of variation of cohesion increases from 0.1 to 0.4, the slope failure probability of dam slope increases by 32.55%. When the vertical autocorrelation distance increases from 1m to 4m, the failure probability increases by 2.1%. When the correlation coefficient increases from -0.8 to 0.5, the failure probability increases by 3.85%.
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