First sliding area analysis of expansive soil slope based on the upper and lower bound solutions
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摘要:
受膨胀土胀缩性、裂隙性及超固结性的影响，膨胀土滑坡灾害易发、频发，而传统的计算分析方法难以反映出膨胀土边坡“渐进性”失稳破坏的特点，并有效估算其首次滑动的区域。为揭示膨胀土边坡的成灾特性，量化膨胀土边坡的阶段性成灾规模，基于膨胀土吸水膨胀变形而引起部分土条底切向力方向可能改变的特性，根据Morgenstern-Price静力平衡分析法，严格地导出了膨胀土边坡滑动趋势临界点的位置，分析了边坡首次滑动区域的上限解与下限解，并以某工程为例进行了计算说明，同时分析了抗剪强度对上下限解的影响。结果表明：受膨胀作用影响，按经典分析方法判定为稳定的边坡仍有可能发生局部失稳渐进破坏，其首次滑动区域的上限解受有效抗剪强度的影响较小，而残余抗剪强度对下限解的影响尤为显著；上限解及其变化速率随有效黏聚力与有效内摩擦角的增大而减小，下限解及其变化速率则随残余内摩擦角与残余黏聚力的增加而增加；同时，可基于上下限解的大小关系，判定膨胀土边坡的稳定性。研究成果可为膨胀土滑坡的成灾规模评价及治理工程设计提供参考。
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关键词:
- 膨胀土边坡 /
- 首次滑动区域 /
- 边坡稳定性 /
- 上下限解 /
- Morgenstern-Price法
Abstract:Expansive soil landslides are prone to frequent disasters due to the expansion, cracking, and over-consolidation characteristics of expansive soil. However, traditional analysis methods cannot adequately reflect the progressive failure characteristic of expansive soil slopes, and effectively estimate the first sliding area. To better understand the disaster characteristics of expansive soil slopes and quantify the phased disaster scale, based on the change of the tangential force direction at the bottom of some soil strips caused by water swelling of expansive soil, the upper and lower bound solutions of the first sliding area of slope are analyzed. The sliding trend critical point of expansive soil slope is strictly derived using the Morgenstern-Price static equilibrium analysis method. A case study is used to illustrate the calculation and analyze the influence of shear strength on the upper solution and lower solutions. The results show that partial and progressive failure may still occur on expansive soil slope under the influence of expansion although they are determined to be stable by classical analysis methods. The upper bound solution of the first slip area is less affected by the effective shear strength, while the influence of residual shear strength on the lower bound solution is particularly significant. The upper bound solution and its change rate decrease with the increase of effective cohesion and effective internal friction angle, while the lower bound solution and its change rate increase with the increase of residual internal friction angle and residual cohesion. In addition, the stability of expansive soil slope can be determined based on the relationship between the upper and lower limit solutions. This study provides the basic information for evaluating disaster scales and designing prevention and control measures for expansive soil landslides.
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