Analytics Study of Underground Circular Tunnel Construction in Plane Viscoelasticity

Abstract:

An analytic study of stress and displacement during dynamic construction is conducted on the immerged underground tunnel. The coupling influence of viscous aging and construction on the displacement is considered during derivation. Rock mass is simulated to Maxwell viscoelastic model, and basic equations of this problem are presented then. Analytic displacement solution of infinite homogeneous plane with one circular tunnel under uniform ground stress is derived by solving basic equations directly. Solutions of stresses are obtained by correspondence principle method. Stress and displacement solutions available for the analysis of circular tunnel with radius random time varying. Then viscoelastic solution is obtained for the time after construction with radius linear and non-linear time-varying, For different construction path with the same ultimate shape, influence of construction speed and acceleration is analyzed quantitatively, and the phenomenon of time-radius correlation is also studied.