浅埋盾构隧道地基弹簧刚度的求解方法

把浅埋盾构隧道简化为半无限平面的挖孔问题，采用平面弹性理论的复变函数方法，推导了反应位移法中浅埋盾构隧道地基弹簧刚度的解析公式。设定不同的埋深和土体泊松比，计算了隧道周边的压缩和剪切地基弹簧刚度，讨论了隧道埋深和土体泊松比对刚度的影响，以及压缩和剪切地基弹簧刚度的关系。结果表明：浅埋隧道与深埋隧道的地基弹簧刚度存在差异；隧道埋深和土体泊松比对地基弹簧刚度的大小和分布规律影响很大；浅埋隧道的剪切与压缩地基弹簧刚度之比沿隧道周边变化。

Solving Method for Soil Spring Stiffness of Shallow Shield Tunneling

Based on complex variable theory in plane elasticity, the equivalent spring stiffness is derived from the analytical solution by means of simplifying shallow shield tunneling to semi-infinite plane with hole, which is applied to response displacement method. The performances of the analytical solution are evaluated and compared with that of the deep shield tunneling through a series of selected various tunnel depths and soil Poisson's ratios. The relation of compression and shear spring stiffness is discussed. Meanwhile, two factors affected soil spring stiffness, tunnel depth and soil Poisson's ratio, are also analyzed. It is shown that soil spring stiffness of shallow shield tunneling is different from that of deep shield tunneling, and the ratio of compression and shear spring stiffness varies along shallow shield tunneling. It is also found that the value and distribution law of soil spring stiffness of shallow shield tunneling greatly depend on tunnel depth and soil Poisson's ratio.