Numerical simulation of deformation of strata and stacked tunnels under traffic loads of subway
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摘要: 地铁列车运行时产生的行车荷载对地层和重叠隧道有显著影响。然而，现有研究很少聚焦重叠隧道变形响应，且缺乏行车荷载施加位置的影响。选取天津某重叠隧道工程，采用激振力函数确定行车荷载，开展地铁行车荷载作用下地层及重叠隧道变形数值模拟。结果表明：地铁行车荷载的施加位置会对地层位移和隧道变形产生明显影响。Smax值和i值均与数据提取位置相关。距隧道中心1.5D为地铁行车荷载引起地层水平位移的临界影响范围。三种工况作用下，隧道纵向变形均表现为整体下沉。行车荷载仅施加于上或下隧道时，施加荷载的隧道横向变形较大；同时施加于两隧道时，两隧道均在底部产生变形。Abstract: The traffic loads of subway have a significant impact on the strata and stacked tunnels. However, the existing studies have rarely focused on the deformation response of stacked tunnels and consider the influences of the location of the traffic loads. By selecting a stacked tunnel project in Tianjin, the excitation force function is used to determine the traffic loads, and numerical simulations are conducted to analyze the deformation of stacked tunnels under the traffic loads of subway. The results demonstrate that the position where the traffic loads of subway are applied significantly affects the displacement of strata and deformation of tunnels. Both Smax and i values are related to the location of data extraction. The critical influence range of lateral displacement caused by the traffic loads of subway is 1.5D from the center of the tunnel. Under the three conditions, the longitudinal deformations of the tunnels are overall downward. When the traffic loads of subway are applied only to the upper or the lower tunnel, the transverse deformation of the tunnel under the loads is large. When the loads are applied to two tunnels synchronously, both the two tunnels deform at the bottom.
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图 2 前1 s内地铁行车荷载时程曲线
Figure 2. Time-history curves of traffic loads of subway within first 1 s
表 1 土层参数
Table 1 Parameters of soil strata
土层 重度/(kN·m-3) 塑性体积模量对数 应力比 渗透系数/(m·d-1) 孔隙比 体积模量对数 泊松比 ①粉质黏土 18.4 0.058 0.86 0.00018 0.776 0.0072 0.32 ②砂质粉土 17.9 0.031 1.03 0.00050 0.742 0.0039 0.35 ③粉质黏土 10.3 0.055 0.89 0.00031 0.764 0.0069 0.35 ④粉土 12.2 0.020 1.37 2.00000 0.595 0.0025 0.30 ⑤粉质黏土 18.0 0.047 0.90 0.00485 0.683 0.0059 0.35 
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