Abstract
ABSTRACT In this paper, a simple numerical model is presented for analyzing arbitrarily shaped alluvial valleys subjected to propagating obliquely incident plane SH-waves. A time-domain half-plane boundary element method (BEM) was successfully used to prepare the model in which the interface needs only to be discretized. First, the problem was decomposed into two parts, a half-plane valley-shaped feature and a closed filled alluvium. Then, the method was applied to each part to obtain the considered matrices. Finally, by satisfying the continuity conditions at the interface, the coupled equation was transiently solved to determine the boundary values. All ground surface responses were also obtained in a secondary solution as internal points. After implementing the method in a general algorithm, several practical examples were analyzed to validate the responses. Moreover, an advanced numerical study was performed to sensitize the surface motion of semi-cylindrical alluvial valleys with variable shape ratios as synthetic seismograms and three-dimensional (3D) amplification patterns. The proposed method can easily be combined with other numerical methods to achieve nonlinear site responses.
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