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基于椭球体理论粘性土层隧道松动土压力研究
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Study on Loose Earth Pressure of Cohesive Soil Tunnel Based on Ellipsoid Theory
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  • DING Haibin1,2,YU Yitian1,2,LIANG Luju3,SUN Yang4†,YU Hui5,HE Jianguo6,XU Changjie1,2

    DING Haibin1,2,YU Yitian1,2,LIANG Luju3,SUN Yang4†,YU Hui5,HE Jianguo6,XU Changjie1,2

    [1.State Key Laboratory of Performance Monitoring and Protecting of Rail Transit Infrastructure(East China Jiaotong University), Nanchang 330013, China; 2.Engineering Research & Development Centre for Underground Technology of Jiangxi Province(East China Jiaotong University), Nanchang 330013, China; 3.Zhejiang University City College, Hangzhou 310015,China; 4.Jiangxi Transportation Research Institute Co., Ltd., Nanchang 330200, China; 5.Jiangxi Provincial Communications Investment Group Co., Ltd. Ganzhou Management Center, Ganzhou 341000, China; 6.Zhejiang Jiaogong Group Co., Ltd., Hangzhou 310051, China]
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    摘要:

    准确预测隧道上覆土压力对隧道支护结构的设计和开挖方式的选择具有重要意义.Terzaghi土拱效应理论是基于滑移面为垂直面这一假设建立的,但实际情况中由于受到地层扰动的影响,滑移面呈现出曲面形状.为研究粘性土层滑移面演化规律及松动土压力分布规律,首先,采用数值模拟软件计算隧道开挖后上覆土压力,并分析粘性土下土拱效应演化规律;其次,根据隧道拱的破裂面规律,从椭球体理论出发,并考虑粘性土层中主应力轨迹线为圆弧对Terzaghi松动土压力进行修正;最后,将理论计算结果与已有的实验数据及有限元计算结果进行对比,验证了本文公式在粘性土层中应用的合理性,并进一步研究了地层损失率SL、内摩擦角φ、黏聚力c与隧道松动土压力的关系.研究结果表明:相较于无粘性土层,粘性土层滑移面的破坏程度更大,但两者滑移面变化规律基本一致.当隧道埋深比H/D≤1.5,出现三角形状滑移面,随着隧道埋深的持续增大,地层逐渐向内形成剪切面,最终形成塔形状滑移面;松动区内部侧土压力系数Kv在任意位置处都是不同的,且在Terzaghi建议的1.0上下浮动.对比浅埋隧道,深埋隧道的松动土压力受地层损失率SL的影响更大.粘性土层隧道上覆荷载呈“半葫芦形”分布,表现为从拱顶附近向拱腰逐渐减小;同时,在内摩擦角φ较小的地层中,提高黏聚力c有利于减小隧道上覆土压力.

    Abstract:

    Accurate prediction of overlying soil pressure is of great significance to the design of tunnel support structures and the selection of excavation methods. Terzaghi’s theory of the soil arch effect is established based on the assumption that the slip plane is vertical, but in practice, the slip plane shows a curved shape due to the formation disturbance. To study the evolution law of slippage surface of cohesive soil layer and the distribution law of loose earth pressure, firstly, the overlying soil pressure after tunnel excavation is calculated by numerical simulation software, and the evolution law of the soil arch effect under cohesive soil is analyzed. Secondly, based on the fracture surface of the tunnel arch, the ellipsoid theory and the circular arc of the principal stress in the cohesive soil layer are used to correct the Terzaghi loose earth pressure. Finally, the theoretical calculation results are compared with the existing experimental data and the finite element calculation results to verify the rationality of the application of the formula in the cohesive soil layer, and to further study the relationship between formation loss rate SL, internal friction angle φ, cohesion c, and tunnel loose earth pressure. The results show that the damage degree of slippage surface in the cohesive soil layer is greater than that in the non-cohesive soil layer. Still, the changes in slippage surface in the cohesive soil layer are the same. When the buried depth ratio of the tunnel is less than 1.5, a triangular slip plane appears. As the buried depth of the tunnel continues to increase, a shear plane is gradually formed inward, and a tower-shaped slip plane is finally formed. The lateral earth pressure coefficient Kv inside the loose zone is different at every location and fluctuates around 1.0, as suggested by Terzaghi. Compared with shallow buried tunnels, the loose earth pressure of deep buried tunnels is more affected by formation loss rate SL. The overlying load of the tunnel in the cohesive soil layer is distributed in a “half gourd shape”, which gradually decreases from near the vault to the arch waist. At the same time, in the formation with a small internal friction angle φ, increasing cohesion c is beneficial to reduce the overlying soil pressure of the tunnel.

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引用本文

丁海滨 ,喻义天 ,梁禄钜 ,孙洋 ?,余辉 ,何建国 ,徐长节 .基于椭球体理论粘性土层隧道松动土压力研究[J].湖南大学学报:自然科学版,2025,52(1):228~238

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  • 在线发布日期: 2025-01-22
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