侯燕军,黄文怡,侯小强,胡莎莎.基于K-L展开法的土体空间变异性分析滑坡稳定性评价研究[J].甘肃地质,2026,35(3):70-80
基于K-L展开法的土体空间变异性分析滑坡稳定性评价研究
LANDSLIDE STABILITY EVALUATION BASED ON K-L EXPANSION METHOD FOR SPATIAL VARIABILITY ANALYSIS OF SOIL MASS
  
DOI:
中文关键词:  K-L展开法  土体空间变异性  滑坡稳定性
英文关键词:Karhunen-Loève expansion method  soil spatial variability  landslide stability
基金项目:甘肃省自然资源厅科技创新项目(项目编号:202406)。
作者单位
侯燕军 1. 甘肃省地质环境监测院,甘肃 兰州 730050;3. 自然资源部兰州城市地质灾害野外科学观测研究站,甘肃 兰州 730070 
黄文怡 2. 兰州交通大学土木工程学院,甘肃 兰州 730070; 
侯小强 2. 兰州交通大学土木工程学院,甘肃 兰州 730070;3. 自然资源部兰州城市地质灾害野外科学观测研究站,甘肃 兰州 730070 
胡莎莎 1. 甘肃省地质环境监测院,甘肃 兰州 730050;3. 自然资源部兰州城市地质灾害野外科学观测研究站,甘肃 兰州 730070 
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中文摘要:
      针对传统滑坡稳定性分析未考虑土体参数空间变异性导致评估偏差的问题,本研究以兰州市城关区市政林场北侧H01滑坡为对象,采用基于高斯型自相关函数的K-L展开法,构建黏聚力、内摩擦角非高斯随机场模型,结合Geostudio软件开展有限元概率分析。 结果表明:主滑坡面天然工况下最小安全系数为1. 038,安全系数小于1. 0的失效概率约12. 7%,滑带土参数呈窄峰分布,马兰黄土参数变异性低,滑坡堆积粉土变异性略高。 研究验证了K-L展开法在刻画黄土体参数空间变异性中的适用性,揭示了滑带土对边坡稳定性的控制作用,为城市滑坡灾害防控提供了新的技术路径。
英文摘要:
      To address the evaluation bias in traditional landslide stability analysis due to neglecting spatial variability of soil parameters, this study takes the H01 landslide in the north of Municipal Forest Farm,Chengguan District, Lanzhou as the research object. The Karhunen -Loève expansion method based on the Gaussian autocorrelation function is adopted to construct a non-Gaussian random field model for cohesion and internal friction angle, combined with Geostudio software for finite element probabilistic analysis. The results show that: under the natural condition, the minimum safety factor the principal sliding surface is 1.038, and the failure probability with safety factor less than 1.0 is about 12.7%. The parameters of the slip zone soil present a narrow-peak distribution, the parameters of Malan loess have low variability, and the landslide accumulation silt has slightly higher variability. The study validates the applicability of the K-L expansion method in characterizing the spatial variability of loess parameters, reveals the controlling role of the slip zone soil on slope stability, and provides a new technical approach for urban landslide disaster prevention and control.
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