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Publication . Article . 2020

Seismic metasurfaces on porous layered media: Surface resonators and fluid-solid interaction effects on the propagation of Rayleigh waves

Xingbo Pu; Antonio Palermo; Zhibao Cheng; Zhifei Shi; Alessandro Marzani;
Open Access
Published: 12 Jul 2020
Country: Italy

Seismic surface wave mitigation using metamaterials is a growing research field propelled by intrinsic theoretical value and possible application prospects. Up to date, the complexity of site conditions found in engineering practice, which can include layered stratigraphy and variable water table level, has been discarded in the development of analytical frameworks to favor the derivation of simple, yet effective, closed-form dispersion laws. This work provides a further step towards the analytical study of “seismic metasurfaces” in real site conditions considering the propagation of Rayleigh waves through a layered porous substrate equipped with local resonators. To this aim, we combine classical elasticity theory, Biot’s poroelasticity and an effective medium approach to describe the metasurface dynamics and its coupling with the poroelastic substrate. The developed framework naturally includes simpler configurations like seismic metasurfaces atop homogeneous dry or saturated soils. Apart from known phenomena like wave-resonance hybridization and surface wave band gaps, we predict the existence of an extended frequency range where surface waves are attenuated due to energy leakage in the form of slow pressure waves, as a result of the fluid-solid interaction. Besides, we demonstrate that the surface wave band gap and the related surface-to-shear wave conversion is robust to variations in the water table level. Conversely, when the dry and saturated layers have different material parameters, for example, due to different porosity ratios, the surface-to-shear wave conversion can be accompanied by the excitation of higher-order surface modes, which remain channeled below the metasurface. These analytical findings, augmented and confirmed by numerical simulations, evidence the importance of accounting for fluid-solid interaction in the dynamics of seismic metasurfaces.

Subjects by Vocabulary

Microsoft Academic Graph classification: Field (physics) Dispersion (water waves) Rayleigh wave symbols.namesake symbols Resonator Biot number Poromechanics Metamaterial Mechanics Materials science Surface wave


Band gap, Biot's theory, Fluid-solid interaction, Metamaterial, Rayleigh waves, MetamaterialsRayleigh wavesBiot's theoryFluid-solid interactionBand gaps, General Engineering, Mechanics of Materials, General Materials Science, Mechanical Engineering

Related Organizations
Funded by
  • Funder: European Commission (EC)
  • Project Code: 813424
  • Funding stream: H2020 | MSCA-ITN-ETN
Validated by funder
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