Dynamic response of partially sealed circular tunnel in viscoelastic saturated soil

• Published in: Soil dynamics and earthquake engineering (1984) Vol. 24; no. 12; pp. 1003 - 1011
• Main Authors: Xie, Kang-he, Liu, Gan-bin, Shi, Zu-yuan
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.12.2004; Elsevier Science
• Subjects: Circular tunnel; Damping coefficient; Dynamic response; Earth sciences; Earth, ocean, space; Earthquakes, seismology; Engineering and environment geology. Geothermics; Engineering geology; Exact sciences and technology; Internal geophysics; Natural hazards: prediction, damages, etc; Partially sealing; Saturated viscoelastic soil; Dynamic response; Partially sealing; Circular tunnel; Saturated viscoelastic soil; Damping coefficient; stress; attenuation; wave equation; viscoplastic media; sealing; S-waves; rigidity; structure soil interaction; tunnels; Laplace transformations; fluid pressure; solution; pore pressure; displacements; saturated zone; soils; boundary conditions; wave damping
• ISSN: 0267-7261; 1879-341X
• DOI: 10.1016/j.soildyn.2004.05.005

Based on Biot's wave equation, dynamic response of a circular tunnel with partially sealed liner in viscoelastic saturated soil is investigated. By introducing two scalar potential functions, the analytical solutions of stresses, displacements and pore pressure induced by axisymmetric gradually applied step load are derived in Laplace transform domain. Numerical results are obtained by inverting Laplace transform presented by Durbin and used to analyze the influences of partial permeable property of boundary and viscoelastic damping coefficient of soil on dynamic response of the tunnel. It is shown that the attenuation of radial displacement appeared with the increase of viscoelastic damping coefficient of soil, and relative rigidity of liner and soil, and the influence of partial sealing property of boundary on stresses, displacements and pore pressure is remarkable. The available solutions of permeable and impermeable boundary conditions are only two extreme cases of this paper.