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基于IWOA-SVM的边坡可靠度分析
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1.中交公路规划设计院有限公司,北京市 100010;2.中交第二公路工程局有限公司,陕西 西安 710065;3.长沙理工大学 土木与环境工程学院,湖南 长沙 410114

作者简介:

王津锋,男,硕士,高级工程师. E-mail:s1450997056@163.com

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中图分类号:

U416

基金项目:

湖南省自然科学基金资助项目(编号:2022JJ50324)


Slope Reliability Analysis Based on IWOA-SVM
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Affiliation:

1.China Communications Highway Planning and Design Institute Co., Ltd., Beijing 100010, China;2.CCCC Second Highway Engineering Co., Ltd., Xi’an, Shaanxi 710065, China;3.School of Civil and Environmental Engineering, Changsha University of Science & Technology, Changsha, Hunan 410114, China

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    摘要:

    为解决传统边坡可靠度计算方法难以考虑多变量间的不确定性以及计算量大的难点,该文提出了一种基于改进鲸鱼算法(IWOA)-支持向量机(SVM)的边坡可靠度分析方法。首先阐述了SVM的基本理论,引入差分变异策略与自适应权重因子对鲸鱼算法(WOA)进行改进,并测试了IWOA的性能。然后,基于IWOA算法优化SVM关键参数,构建边坡可靠度分析模型。最后以某具有显式功能函数的边坡为算例1,基于IWOA-SVM计算得到该边坡可靠度指标,与已有可靠度方法结果进行对比,并分析了随机变量的敏感性;以某无显式功能函数的一般均质边坡为算例2,对比IWOA-SVM、蒙特卡洛法(MCS)及一阶可靠度法(FORM)的计算结果。研究结果表明:基于IWOA-SVM的边坡可靠度分析模型在全局及验算点范围内的拟合效果均较好,尤其在验算点范围内,拟合精度更高;IWOA-SVM计算得到的边坡可靠度指标与MCS结果十分接近,验证了该方法的准确性;IWOA-SVM对无显式功能函数的边坡同样适用,验证了该方法的普适性;与MCS法相比,IWOA-SVM法可避免大量抽样,显著提高了计算效率;边坡可靠度与内摩擦角φ、黏聚力c呈正相关,与张拉裂隙深度z、张拉裂隙充水深度系数iw及水平地震加速度系数α呈负相关;对边坡可靠度影响最大的随机变量为α,其次为iwcφz对边坡可靠度的影响最小。

    Abstract:

    To address the difficulties traditional slope reliability calculation methods face in considering the uncertainty among multiple variables and the large computational burden, this paper proposed a slope reliability analysis method based on the improved whale optimization algorithm (IWOA) and support vector machine (SVM). First, the basic theory of SVM was described. The differential mutation strategy and adaptive weight factor were introduced to improve the whale optimization algorithm (WOA), and the performance of the IWOA was tested. Then, the key parameters of SVM were optimized based on the IWOA, and the slope reliability analysis model was constructed. Finally, by taking a slope with an explicit performance function as Example 1, the reliability index of the slope was calculated based on IWOA-SVM. The results were compared with those of existing reliability methods, and the sensitivity of random variables was analyzed. By taking a general homogeneous slope without an explicit performance function as Example 2, the calculation results of IWOA-SVM, Monte Carlo simulation (MCS), and first order reliability method (FORM) were compared. The results show that the slope reliability analysis model based on IWOA-SVM has good fitting performance in both the global scope and the scope of checking points; especially within the scope of checking points, the fitting accuracy is higher. The slope reliability index obtained by IWOA-SVM is very close to that obtained by MCS, validating the accuracy of this method. IWOA-SVM is also applicable to slopes without explicit performance functions, validating the universality of this method. Compared with the MCS method, the IWOA-SVM method avoids a large number of samplings and significantly improves computational efficiency. Slope reliability is positively correlated with the internal friction angle φ and cohesion c and negatively correlated with the tensile crack depth z, the water-filled depth coefficient of tensile cracks iw, and the horizontal seismic acceleration coefficient α. The random variable with the greatest influence on slope reliability is α, followed by iw, c, and φ, while z has the least influence.

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引用本文

王津锋,范胜通,谢海波.基于IWOA-SVM的边坡可靠度分析[J].中外公路,2026,46(1):21-29.
WANG Jinfeng, FAN Shengtong, XIE Haibo. Slope Reliability Analysis Based on IWOA-SVM[J]. Journal of China & Foreign Highway,2026,46(1):21-29.

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  • 收稿日期:2024-04-22
  • 最后修改日期:2025-12-15
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  • 在线发布日期: 2026-02-05
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