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钟嘉政, 王树英, 冯志耀, 朱汉标. 基于有效应力原理的泡沫改良粗粒土不排水残余剪切强度计算模型[J]. 岩土工程学报, 2023, 45(12): 2614-2623. DOI: 10.11779/CJGE20230180
引用本文: 钟嘉政, 王树英, 冯志耀, 朱汉标. 基于有效应力原理的泡沫改良粗粒土不排水残余剪切强度计算模型[J]. 岩土工程学报, 2023, 45(12): 2614-2623. DOI: 10.11779/CJGE20230180
ZHONG Jiazheng, WANG Shuying, FENG Zhiyao, ZHU Hanbiao. Analytical model for undrained residual shear strength of foam-conditioned coarse-grained soils in large deformation based on effective stress principle[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(12): 2614-2623. DOI: 10.11779/CJGE20230180
Citation: ZHONG Jiazheng, WANG Shuying, FENG Zhiyao, ZHU Hanbiao. Analytical model for undrained residual shear strength of foam-conditioned coarse-grained soils in large deformation based on effective stress principle[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(12): 2614-2623. DOI: 10.11779/CJGE20230180

基于有效应力原理的泡沫改良粗粒土不排水残余剪切强度计算模型

Analytical model for undrained residual shear strength of foam-conditioned coarse-grained soils in large deformation based on effective stress principle

  • 摘要: 泡沫常用于土压平衡盾构渣土改良,流动性良好的泡沫改良粗粒渣土有利于盾构进排土顺畅和土舱压力传递,进而避免地层过大变形和失稳。从泡沫改良粗粒土不排水压缩和剪切机理出发,推导了不排水条件下带压泡沫改良粗粒土流动大变形后的残余剪切强度统一理论模型。首先基于理想气体定律和土的有效应力-应变双曲线方程求解不排水一维压缩时的有效应力,然后推导不排水剪切引起的超孔隙压力和残余状态下剪切强度与有效应力的关系式,再构建剪切速率相关的残余剪切强度计算模型。采用不排水加压十字板剪切试验验证了计算模型的准确性,试验值与理论值的平均误差约10%,表明该计算模型可用于确定泡沫改良粗粒土连续流动时的残余剪切强度。最后开展了影响因素分析,竖向总应力增大能提高残余剪切强度,而泡沫注入比增加能降低残余剪切强度;残余状态下流动大变形泡沫改良粗粒土的屈服应力和塑性黏度均与竖向总应力呈正相关,而与泡沫注入比呈负相关。

     

    Abstract: Foam is usually used in soil conditioning of earth pressure balance shield tunnelling. The smooth muck discharge and chamber pressure transmission require foam-conditioned coarse-grained soils with suitable flowability to avoid face instability and excessive ground deformation. Inspired by undrained compression and shear mechanism, an analytical model is proposed for the undrained residual shear strength of foam-conditioned coarse-grained soils after large deformation under pressure. Firstly, the effective stress in one-dimensional undrained compression is obtained based on the ideal gas law and the hyperbolic equation for stress and strain. Then, the shear-induced excess pore pressure is calculated, and the relation between the residual shear strength and the vertical effective stress is derived. Furthermore, the analytical model for the residual shear strength dependent on shear rate is obtained. A series of undrained pressurized vane shear tests are performed to verify the analytical model. The average error between the analytical and experimental results is about 10%. It is proved that the analytical model is reliable in determining the residual shear strength under chamber pressure. Finally, the discussion of influencing factors manifests that the residual strength is raised by increasing the vertical total stress but reduced by increasing the foam injection ratio (FIR). It also revealed that the yield stress and plastic viscosity in the residual state are positively correlated with the vertical total stress but negatively correlated with FIR.

     

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