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隧道围岩透明相似材料强度特征与配合比研究
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Study on the Strength Characteristics and the Mix Proportion Design Method of Similar Materials of Transparent Cemented Soil in Tunnel Surrounding Rock
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    摘要:

    随着透明化物理模型试验在隧道工程力学机制与变形特征研究中发挥越发显著的作用,同时满足透明度和相似原理要求的围岩相似材料成为保证试验结果与实际工程相契合的关键.本文基于正交试验数据的统计分析,总结配置的透明胶结土相似材料的强度特性,探索用于表征隧道围岩特性的相似材料配合比量化设计方法.首先,选取熔融石英砂、纳米级白炭黑、正十二烷混合15#白油为原材料,设计2因素3水平的正交试验,完成重度、内摩擦角及黏聚力数据的测定;然后,应用串联法分别拟合表示重度、内摩擦角、黏聚力与石英砂粒径、胶石比(纳米级白炭黑与石英砂质量比)之间相互关系的多元非线性回归方程;最后,通过多元回归方程的联合求解,完成石英砂粒径、胶石比和几何相似常数的确定.试验结果表明:1)所配置的透明胶结土相似材料的重度、内摩擦角和黏聚力数值的变化区间分别为16.13~12.53 kN/m3、27.07°~14.82°和31~2.3 kPa,剪应力-剪切位移曲线均具有峰后平台型、峰后跌落型的特点;2)T检验和F检验的结果显示拟合得到的三个非线性回归方程自变量对因变量影响极其显著,方程本身真实可靠;3)将重度和内摩擦角的回归方程联立,解算石英砂粒径和胶石比,求得的石英砂粒径和胶石比数值代入黏聚力回归方程完成黏聚力的计算,计算黏聚力与原地层黏聚力的比值,得几何相似常数.构建了一种新型的相似材料配合比和几何相似常数量化设计方法.研究成果以期为隧道工程可视化物理模型试验设计提供理论支撑与数据参考.

    Abstract:

    The visualization physical modeling test plays an increasingly significant role in mechanical mechanism and deformation characteristics of tunnel engineering, and the surrounding rock similar material meeting the transparency and similarity theory is key to ensure the great agreement between the testing results and practical engineering. This paper summarizes the strength property of prepared transparent cemented soil with similar material based on statistical analysis of orthogonal test data, so as to explore the quantitative design method representing the mix proportion of similar material of tunnel surrounding rock. The experiment utilized molten quartz sand, nano-silica, and N-dodecane mixed with 15# white oil as raw materials, designing a 2-factor, 3-level orthogonal test to measure unit weight, internal friction angle, and cohesion. Using the concatenation method, multiple nonlinear regression equations were fitted to describe the relationships between unit weight, internal friction angle, cohesion, and both the particle size of quartz sand and the cement-stone ratio (the mass ratio of nano-silica to quartz sand). The joint solution of these regression equations was then employed to determine the optimal quartz sand particle size, cement-stone ratio, and geometric similarity constant. The test results indicate that: 1) the ranges for unit weight, internal friction angle, and cohesion of the transparent cemented soil are 16.13~12.53 kN/m3, 27.07°~14.82°, and 31~2.3 kPa, respectively, with shear stress-shear displacement curves displaying both post-peak platform and post-peak drop characteristics;2) T-tests and F-tests reveal that the independent variables in the fitted nonlinear regression equations significantly influence the dependent variables, and the equations are authentic and reliable; 3) Combining the regression equations for specific gravity and internal friction angle, the optimal particle size and cement-stone ratio of quartz sand are calculated, which are then substituted into the cohesion regression equation to finalize the cohesion calculation. This study establishes a novel quantitative design method for determining similar material mix ratios and geometric similarity constants, providing a theoretical foundation and data reference for designing visual physical model tests in tunnel engineering.

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谢朋 ,李葱葱 ,段虎辰 ?,文海家 ,李良勇 ,李昭捷 ,王永卫 .隧道围岩透明相似材料强度特征与配合比研究[J].湖南大学学报:自然科学版,2025,52(1):219~227

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  • 在线发布日期: 2025-01-22
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