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控制隧道开挖引起的土体沉降变形是劈裂注浆的主要目的之一,隧道在劈裂注浆后复合土体的等效弹性参数取值直接关系着隧道在劈裂注浆后沉降变形的预测精度。首先在对已有劈裂扩散模型研究的基础上,按面积等效原则提出了隧道劈裂注浆后复合土体的二维简化等效单元体模型,并基于均质化理论按变形协调原则推导了二维简化单元体模型的等效弹性参数解析解。然后采用有限元方法分别计算并分析了模型在简化前后的等效弹性参数;同时把二维简化等效单元体模型的有限元计算结果和解析计算结果也做了对比分析。最后基于解析结果分析了土体和浆液结石体各自的弹性参数以及浆液注入率对等效弹性参数的影响。结果表明:(1)按面积等效原则对模型进行简化处理的方法是可行的,可以按照简化模型进行弹性阶段的理论分析;(2)解析结果与有限元结果具有良好的一致性,说明了解析结果的合理性;(3)复合土体的等效弹性模量和等效泊松比主要受浆液注入率和浆液固结体本身模量的影响;浆液固结体的泊松比对等效弹性模量的影响几乎可以忽略。
It is one of the main purposes of splitting grouting to control the settlement of soil due to tunnel excavation. The equivalent elastic parameters of the composite soil after the splitting grouting directly affect the settlement of the tunnel after splitting grouting The prediction accuracy. Based on the study of existing splitting and diffusion models, a two-dimensional simplified equivalent body model of composite soil after tunnel split grouting is proposed according to the principle of area equivalence. According to the principle of homogenization, The analytical solution of equivalent elastic parameters of two-dimensional simplified element model is deduced. Then the equivalent elastic parameters of the model before and after simplification were calculated and analyzed by finite element method respectively. At the same time, the finite element analysis and the analytical calculation of two-dimensional simplified equivalent model were also compared. Finally, based on the analytical results, the elastic parameters of soils and slurry stones and the effect of slurry injection rate on the equivalent elastic parameters were analyzed. The results show that: (1) The method of simplifying the model according to the principle of area equivalence is feasible, and the theoretical analysis of the elastic phase can be performed according to the simplified model; (2) The analytical results are in good agreement with the finite element results (3) The equivalent elastic modulus and equivalent Poisson’s ratio of composite soil are mainly affected by the rate of slurry injection and the modulus of slurry consolidation; the Poisson’s ratio of slurry consolidation The effect of the modulus of elasticity is almost negligible.