Abstract In practice, it is vital to know the propagation law of settlement in soil induced by tunneling. In this paper, a novel two-dimensional subsurface settlement propagation model is established based on the stochastic medium theory. The governing equation is solved with the assumed settlement profile at the tunnel crown using the Fourier transform method. Subsequently, the sensitivity of the subsurface settlement to the model parameters B and N is discussed. A database containing 12 case histories is used to establish the relationship between the elastic modulus of soil and the model parameters B and N by the linear fitting method. Results show that the model parameters B and N can reflect the vertical propagation ability and the compression (or swelling) performance of the overlying soil, respectively. Finally, the applicability of the proposed model is demonstrated with a case study of tunneling in clays. It is concluded that the model presented in this paper is highly effective and convenient for use in practice.

中文翻译：

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隧道开挖引起的软土中沉降的传播

摘要 在实践中，了解隧道开挖引起的土体沉降传播规律至关重要。本文基于随机介质理论建立了一种新型的二维地下沉降传播模型。使用傅立叶变换方法，利用隧道冠部的假定沉降剖面求解控制方程。随后，讨论了地下沉降对模型参数 B 和 N 的敏感性。使用包含12个案例历史的数据库，通过线性拟合方法建立土壤弹性模量与模型参数B和N之间的关系。结果表明，模型参数B和N分别反映了上覆土的垂直传播能力和压缩（或膨胀）性能。最后，通过在粘土中开挖隧道的案例研究证明了所提出模型的适用性。得出的结论是，本文提出的模型非常有效且便于实际使用。