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In this work, we study seismic wave amplification in alluvial basins having3D standard geometries through the Fast Multipole Boundary Element Method inthe frequency domain. We investigate how much 3D amplification differs from the1D (horizontal layering) case. Considering incident fields of plane harmonicwaves, we examine the relationships between the amplification level and themost relevant physical parameters of the problem (impedance contrast, 3D aspectratio, vertical and oblique incidence of plane waves). The FMBEM results showthat the most important parameters for wave amplification are the impedancecontrast and the so-called equivalent shape ratio. Using these two parameters,we derive simple rules to compute the fundamental frequency for various 3Dbasin shapes and the corresponding 3D/1D amplification factor for 5% damping.Effects on amplification due to 3D basin asymmetry are also studied andincorporated in the derived rules.

Seismic Wave Amplification in 3D Alluvial Basins: 3D/1D Amplification Ratios from Fast Multipole BEM Simulations