A new approach for evaluating continuous and discontinuous pipeline deformation induced by soil tunnel excavation.

The deformation of the overlying pipeline caused by the soil tunnel excavation cannot be ignored in the case of the small spacing between the pipeline and the tunnel. Based on the rigid bar method, the pipeline-soil interaction model was established, with the simply supported beam as the basic system, and the loads acting on the pipeline by the soil are considered to be linearly distributed. Calculation methods for continuous and discontinuous pipeline deformations were established. The results calculated by the proposed method agree well with the experimental data of centrifuge tests and field data. Parametric study on the effect of the volume loss (η = 1%, 2%,3 %), rotational stiffness (β ₀  = 4.47 × 10 ⁶ N⋅m/rad, 4.47 × 10 ⁸ N⋅m/rad, 4.47 × 10 ¹⁰ N⋅m/rad), ratio of pipeline section length to inflection point of soil settlement curve (L/i _s  = 0.5, 1.0, 1.5, 2.0) and soil elastic modulus (E = 10 MPa, 30 MPa, 50 MPa) on the deflection and joint rotation angle of the discontinuous pipeline were carried out. Results show that: (1) the maximum pipeline deflection and the maximum rotation angle of the joint increase as η increases and decrease as β ₀ increases; (2) in the "odd" case, the maximum pipeline deflection and the maximum rotation angle of the joint first increase and then decrease as L/i _s increases, reaching a peak at L/i _s  = 1.5, while in the "even" case, the maximum pipeline deflection decreases as L/i _s increases and the maximum rotation angle of the joint first increases and then decreases as L/i _s increases; (3) in the "odd" case, the maximum pipeline deflection and the maximum angle of rotation of the joint decrease as E increases, while the opposite trend is observed in the "even" case. Additionally, the maximum pipeline deflection and the maximum rotation angle of the joint are always greater in the "odd" case than that in the "even" case.
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