Abstract
Plane strain model for the amplification of harmonic waves by two alluvial valleys of arbitrary shape embedded in a half-space is investigated by using a boundary integral method. Perfect bonding between the valleys and the half-space is assumed. The displacement field is evaluated throughout the elastic medium for linearly elastic, homogeneous and isotropic materials so that the continuity conditions between the valleys and the half-space are satisfied in a mean-square-sense. Numerical results are presented for two semi-elliptical valleys for the incident plane P, SV, and Rayleigh waves for different angles of incidence (for P and SV-waves), frequency of incoming waves, and material properties of the valleys. The results indicate the following: (1) different incident waves caused different surface displacement amplification; (2) the presence of additional valleys may change the surface motion field significantly; (3) a strong ground motion amplitude appears to be very sensitive to the frequency of incoming waves and depends on material properties of the valleys and the half-space.
Published Version
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