›› 2017, Vol. 38 ›› Issue (S1): 1-10.doi: 10.16285/j.rsm.2017.S1.001

• 基础理论与实验研究 •    下一篇

基于能量守恒的滑坡稳定性计算模型

易庆林1, 2, 3,赵能浩1, 2,刘艺梁1, 2, 3   

  1. 1. 三峡大学 三峡地区地质灾害与生态环境湖北省协同创新中心,湖北 宜昌 443002; 2. 三峡大学 三峡库区地质灾害教育部重点实验室,湖北 宜昌 443002;3. 三峡大学 湖北长江三峡滑坡国家野外科学观测研究站,湖北 宜昌 443002
  • 收稿日期:2016-05-12 出版日期:2017-06-22 发布日期:2018-06-05
  • 作者简介:易庆林,男,1966年生,硕士,硕士生导师,教授,主要从事防灾减灾工程、变形监测等方面的研究。
  • 基金资助:

    国家自然科学基金项目(No.41402259,No.41102187,No.51279089);国家自然科学基金青年基金(No.41302260);三峡库区地质灾害教育部重点实验室(三峡大学)开放基金(No.2015KDZ08)。

Model of landslide stability calculation based on energy conservation

YI Qing-lin1, 2, 3, ZHAO Neng-hao1, 2, LIU Yi-liang1, 2, 3   

  1. 1. Collaborative Innovation Center for Geo-Hazards and Eco-Environment in Three Gorges Area, China Three Gorges University, Yichang, Hubei 443002, China; 2. Ministry of Education Key Laboratory of Geological Disaster of Three Gorges Reservoir Area, China Three Gorges University, Yichang, Hubei 443002, China;3. National Field Observation and Research Station of Landslides in Three Gorges Reservoir Area of Yangtze River, China Three Gorges University, Yichang, Hubei 443002, China
  • Received:2016-05-12 Online:2017-06-22 Published:2018-06-05
  • Supported by:

    This work was supported by the National Science Foundation of China(41402259, 41102187, 51279089), the Youth fund of National Science Foundation of China(41302260) and the Three Gorges Reservoir Geological Disaster of Ministry of Education Key Laboratory Open Fund(Three Gorges University)(2015KDZ08).

摘要: 基于能量守恒思想,采用径向条分法,假设虚拟位移,建立滑坡的稳定性计算数学模型,为滑坡稳定性分析提供了一种新的方法。基于虚拟位移ds,推导了滑坡重力势能增量 和滑面摩擦耗能 ,定义了能量法滑坡稳定性系数 ,分别给出了在不考虑地下水和考虑地下水两种情况下滑坡稳定系数Sc的数学表达式。通过算例分析,并与极限平衡法中的简布法计算结果对比,结果表明,不考虑地下水情况下能量法的计算结果与简布法较为接近,且前者稳定系数略高,差值比为0.19%;考虑地下水影响的情况下能量法计算结果与简布法的差值比为9.77%,前者稳定系数较低,即能量法中地下水对滑坡稳定性系数影响较大。基于算例1,对模型的主要参数进行了关于稳定系数Sc的敏感性分析。最后从本质上对比分析了能量法与简布法的异同。

关键词: 滑坡, 能量守恒, 径向条分, 稳定性计算模型

Abstract: Based on the thought of conservation of energy, using the modeling method of radial slice method, assuming a virtual displacement, a mathematic model of landslide stability calculation is established, so as to provide a new method for landslide stability analysis. Based on the virtual displacement ds, the gravitational potential energy change △U and the friction energy dissipation △W on sliding surface are deduced; and then the landslide stability coefficient is defined as Sc = △W/△U; finally, the mathematic expression of landslide stability coefficient Sc is obtained in two cases of considering groundwater and without considering groundwater. Through the example analysis, and comparing the calculation result with Janbu method. The results show that, without considering the groundwater, calculation results of energy method and Jianbu method is relatively close; and the former stability coefficient is slightly higher; the differential ratio is 0.19%; under the condition of considering the influence of groundwater, the differential ratio is 9.77%; the stability coefficient calculated by energy method is lower; namely, in the energy method, the influence of groundwater on landslide stability coefficient is greater. Based on example 1, the main parameters of the model are analyzed on the sensitivity of the stability coefficient of Sc. Finally, the similarities and differences between the energy method and JianBu method are essentially contrasted.

Key words: landslide, energy conservation, radial slice, stability calculation model

中图分类号: 

  • P642

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