Abstract

The problem of scattering in seismic waves caused by underground tunnels is an important factor in the study of earthquake engineering. Since the medium of the lined tunnel was generally simplified to be isotropic by scholars in past research, the phenomenon of scattering of SH-waves caused by an orthotropic cylindrical tunnel in a homogeneous isotropic half-space is studied in this paper. Then, an analytical solution is obtained in a two-dimensional wave propagation problem by a separation of variables and a multipolar coordinate method. The results show that the reference wave number, buried depth, and modulus ratio have obvious effects on the dynamic stress concentration factors around the tunnel and displacement amplitudes of the ground surface.

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