Model of landslide stability calculation based on energy conservation

YI Qing-lin; ZHAO Neng-hao; LIU Yi-liang

doi:10.16285/j.rsm.2017.S1.001

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Model of landslide stability calculation based on energy conservation

更新时间：2026-06-25

- Model of landslide stability calculation based on energy conservation
- Vol. 38, Issue S1, Pages: 1-10(2017)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2017.S1.001
  CLC： P642
- Online First：05 June 2018，
  
  Published：2017
- 稿件说明：
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YI Qing-lin, ZHAO Neng-hao, LIU Yi-liang. Model of landslide stability calculation based on energy conservation[J]. 2017, 38(S1): 1-10.
DOI：

YI Qing-lin, ZHAO Neng-hao, LIU Yi-liang. Model of landslide stability calculation based on energy conservation[J]. 2017, 38(S1): 1-10. DOI： 10.16285/j.rsm.2017.S1.001.

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。

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.

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