Complex variable solutions for tunnel excavation at great depth in visco-elastic geomaterial considering the three-dimensional effects of tunnel advance. (English) Zbl 1481.74719
Summary: This paper proposes complex variable solutions for stress and displacement fields for tunnel excavation at great depth in a visco-elastic geomaterial, considering the equivalent three-dimensional effect, liner installation, supporting delay, and the interaction between liner and geomaterial. The geomaterial is simulated by three typical visco-elastic models: the three-parameter solid model, the Poyting-Thomson model and the Burgers model. The proposed solutions can simulate both tunnel excavation and liner installation stages, which are continuous in the time dimension. In the derivation, the variable substitution, the Laplace transform, and their inverse computations are applied. The proposed solutions are verified in detail by comparing to a numerical solution and a set of field data. Good agreements between the analytical solution and the numerical solution/field data are observed, indicating the validity of the proposed solutions. Subsequently, a parametric study is performed to investigate the influences of tunnel geometry (including tunnel size and liner thickness), material parameters of liner and geomaterial (including Poisson’s ratio, shear modulus and viscosity of both elements), tunnel advance rate, and liner installation time moment (denoting supporting delay) on the stress and displacement fields in liner and geomaterial. The proposed solutions may serve as an alternative method for the conceptual and preliminary designs in tunnel engineering.
MSC:
| 74S70 | Complex-variable methods applied to problems in solid mechanics |
| 74D05 | Linear constitutive equations for materials with memory |
| 74L10 | Soil and rock mechanics |
Keywords:
stress and displacement; tunnel excavation; great depth; visco-elastic geomaterial; three-dimensional effect; interactionReferences:
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