Antiplane Diffraction from Canyon above Subsurface Unlined Tunnel
Publication: Journal of Engineering Mechanics
Volume 125, Issue 6
Abstract
The 2D scattering and diffraction of plane shear horizontal waves by a surface semicircular canyon on top of an underground circular unlined tunnel (cavity) in a homogeneous elastic half-space has been analyzed. Using an exact analytic series solution of the problem for a general angle of wave incidence, the ground motions of the half-space surface on and near the canyon and that of the underground cavity were evaluated. These surface motions depend on the following parameters: (1) The angle of incidence ζ of the plane shear horizontal waves; (2) the dimensionless frequency or wave number ka; (3) a0/a, the ratio of the radius of the surface canyon to that of the underground cavity; and (4) D/a, the ratio of the depth of the cavity to its radius.
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Received: Sep 2, 1998
Published online: Jun 1, 1999
Published in print: Jun 1999
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