The seismic responses of three-dimensional (3D)
concave topography sites were calculated by the combination method of finite
element discrete model, the viscoelastic artificial boundary and the central
difference integral formula, and the characteristics and differences of the
influence of pyramid-shaped, hemisphere-shaped and prism-shaped concave
topographies in homogeneous elastic half space on site ground motion were
analyzed under the vertical incidence of P wave and SV waves. (1) The influence
of different shapes of concave topographies on site ground motion is
significantly different, namely, the prism-shaped concave topography>the
hemisphere-shaped concave topography>the pyramid-shaped concave topography,
but the differences between the different concave topographies are more
manifested in the medium frequency range. (2) Concave topographies have a
complex scattering effects on seismic waves. Whether it is vertically incident
P wave or vertically incident SV wave (only vertical or horizontal seismic
motion input), it can produce significant ground motions in both directions in
and near the sag area, and while SV wave is vertically incident, the wave
scattering of concave topography is more intense, and furthermore the amplitude
of ground motion in vertical direction generated by SV wave is even greater
than that in horizontal direction. (3) The concave topography may cause the
topographical edge effect of ground motion, and the ground motion at the edge
of prism-shaped concave is significantly amplified, while this effect is
relatively weak in the pyramid-shaped and hemisphere-shaped concave
topographies. The study reveals that the steep degree of the concave edge has a
significant impact on site ground motion, and that the edge effect of concave
topography may exist and is closely related to the steep degree of the concave
edge. This research result gives an important hint for the analysis of
practical engineering problems, that is, the rational treatment of concave edge
parts should be paid special attention to when establishing a simplified
analysis model of concave topography. The research results can be applied to
the engineering construction in mountainous areas, especially bridge and dam
construction, and provide a reference for its seismic fortification to consider
the characteristics and differences of different shapes of concaves on site
ground motion, especially the possible topography edge effect.