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基坑底板抗突涌安全厚度非线性计算方法

Nonlinear Calculation Method for Safe Thickness of Foundation Pit Bottom Plate Against Upwelling under the Action of Confined Water

  • 摘要: 如何确定承压水作用下基坑底板突涌安全厚度是事关基坑施工安全的关键问题,鉴于基坑底板突涌是一个非线性过程,本文引入了一种新的基坑底板防突涌安全厚度计算方法。通过把承压水作用下基坑底板隔水土层简化为有预压力的受均布荷载作用的固支梁力学模型,并引进突变理论,建立承压水作用下基坑底板突涌能量势函数及分叉集方程,推导出隔水土层突涌的必要条件、充分条件及安全厚度非线性计算表达式,再运用Matlab编程对安全厚度非线性计算表达式进行迭代法求解,在此基础上,分析了安全厚度与各影响因素之间的关系,并选取2处基坑案例验证了该方法的有效性。结果表明:基坑底板弹性模量E与底板安全厚度呈负相关关系,基坑隔水层底板承压水头 H_\omega 、土体梁的长度L、基坑开挖深度D与安全厚度呈正相关关系。选取的两例基坑案例验证了该方法的有效性,研究成果可为承压水作用下基坑设计及现场施工提供理论指导。

     

    Abstract: Determining the critical thickness for preventing upwelling of foundation pit base slabs under confined water pressure is a pivotal concern for ensuring the safety of foundation pit construction.Given the nonlinear nature of foundation pit base slab upwelling,a novel calculation method for assessing the critical thickness to mitigate this risk has been introduced.By simplifying the waterproof soil layer of the foundation pit base slab under confined water pressure into a fixed-end beam mechanical model subjected to uniform load with preload, and drawing on catastrophe theory, principles of mechanical equilibrium, and energy balance, a catastrophe model for foundation pit base slab upwelling under confined water pressure is formulated. This model derives the necessary and sufficient conditions for upwelling of the waterproof soil layer, along with a nonlinear formula for calculating the critical safe thickness. The critical thickness is then solved using an iterative approach with Matlab programming, and the interplay between the critical thickness and various influencing factors is analyzed. The research findings reveal a negative correlation between the elastic modulus E of the foundation pit base slab and its critical thickness, whereas a positive correlation is observed between the critical thickness and factors such as the confined water head in the foundation pit, the length L of the soil beam,the excavation depth D of the foundation pit.To validate the effectiveness of this method, two foundation pit cases are examined.The research outcomes offer theoretical guidance for the design and on-site construction of foundation pits under confined water pressure.

     

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