SEISMIC WAVE INTERACTION WITH A CIRCULAR TUNNEL LINING OF NONUNIFORM THICKNESS EMBEDDED WITHIN A POROELASTIC FORMATION

An exact analysis for two-dimensional dynamic interaction of monochromatic progressive plane compressional and shear seismic waves with a permeable circular tunnel lining of circumferentially varying wall thickness buried in a boundless porous elastic fluid-saturated formation is presented. The novel features of Biot dynamic theory of poroelasticity in conjunction with the translational addition theorems for cylindrical wave functions, along with the appropriate wave field expansions and the pertinent boundary conditions are employed to develop a closed-form solution in form of infinite series. The effects of liner eccentricity, interface permeability, formation material type, incident wave frequency, and angle of incidence on the hoop stress amplitude are evaluated and discussed for representative values of the parameters characterizing the system.

Keywords:

Seismic response , Underground tunnel , Eccentric liner , Poroelastic medium