A multiple scattering formulation to design meta-trenches for mitigating low-frequency ground-borne vibrations induced by surface railways and subways

We propose a multiple scattering formulation to investigate the performance of meta-trenches. The meta-trench is a novel device, composed of an array of resonant units buried in the ground in a proper arrangement, aimed at reducing the railway and/or subway induced ground motion by exploiting its scattering and resonant properties. Compared to classical open trenches, the resonators contribute to improving the wave mitigation performance of the trench in the low-frequency regime.