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Antiplane SH-deformations near a surface rigid foundation above a subsurface rigid circular tunnel

V.W. Lee¹ , M.E. Manoogian² and S. Chen¹

1. Civil & Envir. Eng. Dept., Univ. of Southern California, Los Angeles, California, U.S.A.
2. Civil Eng. & Envir. Sci. Dept., Loyola Marymount Univ., Los Angeles, California, U.S.A.

Abstract: The problem on the dynamic response of a rigid embedded foundation in the presence of an underground rigid tunnel and subjected to excitation of incident anti-plane SH waves is analyzed. By using the exact analytical solution for the two-dimensional SH-wave propagation in and around both the surface rigid foundation and subsurface rigid tunnel, those aspects of the resulting ground motions that are of special interest and importance for seismic resistant design in earthquake analyses have been examined. The computed amplitudes of the resulting periodic ground motions display a very complicated wave-interference between the surface foundation and underground tunnel that lead to observed standing wave patterns, together with abrupt changes in the wave amplitudes and large amplification of the incident motions.

Keywords: SH waves; wave-interference; embedded foundation; underground tunnel; analytical solution