Abstract

The deformation of existing pipelines caused by the tunneling of a shield machine along curved sections has not been sufficiently researched, and a corresponding theoretical prediction formula is lacking. This paper derives a prediction formula for the deformation of an existing pipeline caused by shield machine tunneling along a curved section. Further, a finite difference model (FDM) corresponding to an actual project is built. Finally, the deformation of the surface and existing pipelines caused by shield machine tunneling along the curved section is analyzed. The research results show that the results of theoretical prediction, FDM calculation, and field monitoring data are consistent. In addition, the deformation of the surface and the existing pipeline are asymmetrically distributed when the shield machine tunnels along the curve section instead of symmetrically distributed (for straight line segment). When the pipeline is perpendicular to the tunnel axis, the maximum deformation position of the existing pipeline deviates from the tunnel axis by about 0.5 times the tunnel radius. In addition, as the angle β between the pipeline axis and the tunnel axis increases, the maximum deformation position of the pipeline gradually approaches the tunnel axis.

Highlights

  • When the shield machine is tunneling along the curved section, the ground settlement is distributed asymmetrically in a “V” shape, which is different from the ground settlement law in the case of tunneling along the straight section

  • A theoretical prediction formula for the deformation of an existing pipeline caused by shield machine tunneling along a curved section was derived

  • When the shield machine is tunneling along the curved section, the horizontal deformation curves of the ground surface and the existing pipeline are asymmetrically distributed in a “V” shape, and the maximum settlement position appears on the inside of the curved section, which is around 0.5 R away from the tunnel axis

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. Many studies have used numerical simulation and theoretical analysis to analyze the deformation of existing pipelines caused by shield machine tunneling. Ni and Mangalathu [11] combined the Gaussian distribution curve of settlement and the beam-onspring model, derived the empirical formula for the deformation of the existing pipeline caused by the tunneling of the shield machine, and verified the formula by conducting a centrifugal test and numerical simulation. The calculation formula of the surrounding ground settlement caused by shield machine tunneling along the curved section was deduced based on the Mindlin solution and the mirror-image convergence method. The theoretical prediction formula of the existing pipeline deformation caused by shield machine tunneling along the curved section was further deduced by considering the coupling effect of the soil and the pipeline. In the third part, the effects of different curvature radii R0 , pipeline buried depths h, pipeline materials, and tunnel excavation radii R on existing pipeline deformation were investigated based on the theoretical prediction formula

Project Overview
Calculation Methods of Pipeline Deformation
Mindlin Solution
Calculation of Deformation Caused by the Thrust Load
Calculation of Deformation Caused by Friction Load
Calculation of Deformation Caused by Grouting Load
Calculation of Deformation Caused by Ground Loss
Calculation of Deformation Caused by the IGST
Calculation of Deformation Caused by OG
Calculation of Pipeline Deformation Consider Pipe–Soil Coupling
Finite Difference Model
Loads in the Numerical Calculation Model
Material Properties
Numerical Simulation Process
Analysis of Surface Settlement
Pipeline Deformation Analysis
Conclusions

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