砂土内摩擦角空间变异性对隧道开挖面坍塌行为的影响

    Influence of Spatial Variability of Internal Friction Angle in Sandy Soil on Tunnel Face Collapse Behavior

    • 摘要: 土体强度参数是隧道开挖面稳定性的决定性因素,天然土体的参数呈现空间变异性且具有随深度变化的趋势。本文通过非平稳随机场模拟土体参数,并结合光滑粒子流体动力学(SPH)分析了砂土内摩擦角空间变异性对隧道开挖面坍塌行为的影响,考虑了砂土内摩擦角随深度线性和非线性两种变化趋势,使生成的随机场能更准确地反映土体参数的空间变异性。首先介绍了SPH、非平稳随机场和蒙特卡洛模拟的原理和实施过程。随后通过算例以及与既有研究的对比证明了SPH方法和生成随机场的可靠性。最后以坍塌距离、涌土量和地表最大沉降为评估参数,通过蒙特卡洛模拟对不同竖向相关长度和变异系数下的开挖面坍塌行为进行了分析。研究结果表明:竖向相关长度和变异系数增加时,开挖面坍塌的不确定性明显增强,导致预测坍塌规模的难度增大;砂土内摩擦角随深度非线性变化时的开挖面坍塌规模明显大于线性变化时,忽略这一特性会导致开挖面坍塌规模被低估。

       

      Abstract: Soil strength parameters govern tunnel face stability, and in natural soils they exhibit spatial variability and depth-dependent trends. This study models soil parameters using a non-stationary random field and investigates the effect of spatial variability of the internal friction angle in sandy soil on tunnel face collapse using the smoothed particle hydrodynamics (SPH) method. Both linear and non-linear depth-dependent variations are considered to better represent soil heterogeneity. The SPH method and random field generation are validated through benchmark comparisons. Collapse distance, mass of inflowing soil, and maximum surface settlement are adopted as evaluation metrics, and Monte Carlo simulations are performed to assess the effects of vertical correlation length and coefficient of variation. Results show that increasing vertical correlation length and coefficient of variation significantly enhances the uncertainty of tunnel face collapse. Non-linear depth-dependent variation leads to larger collapse scales than linear variation, and neglecting this feature results in underestimation of collapse extent.

       

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