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In this work, we experimentally and numerically investigate the propagationand attenuation of vertically polarized surface waves in an unconsolidatedgranular medium equipped with small-scale metabarriers of different depths,i.e., arrays composed of one, two, and three embedded layers of sub-wavelengthresonators. Our findings reveal how such a multi-layer arrangement stronglyaffects the attenuation of the surface wave motion within and after thebarrier. When the surface waves collide with the barriers, the wavefront isback-scattered and steered downward underneath the oscillators. Due to thestiffness gradient of the granular medium, part of the wavefield is thenrerouted to the surface level after overcoming the resonant array. Overall, thein-depth insertion of additional layers of resonators leads to a greater andbroader band wave attenuation when compared to the single layer case.

Mitigation of Rayleigh-like waves in granular media via multi-layer resonant metabarriers