A seismic metabarrier (intended for surface waves mitigation effect) is modeled as a cluster of single-degree-of-freedom resonator units deposited on the surface of an isotropic homogeneous elastic half-space. It is assumed that each resonator has a frictionless flat rigid base of diameter much smaller than the wavelength of an incoming surface wave. The slow-motions asymptotic method is applied for constructing the first-order asymptotic model of multiple time-dependent scattering of a pulsed Rayleigh wave with respect to the vertical displacements of the resonators (including their rigid bases and inertial elements) and the normal contact forces (time-dependent integral characteristics of the contact reactions beneath the resonator bases). Both the stationary and transient multiple scattering scenarios are considered. The variation of the amplitude reduction factor due to the model parameters variation is studied in detail.

地震元屏障（用于表面波缓解效应）被建模为沉积在各向同性均匀弹性半空间表面上的单自由度谐振器单元簇。假设每个谐振器具有无摩擦的平坦刚性底座，其直径远小于入射表面波的波长。应用慢运动渐近方法构建脉冲瑞利波相对于谐振器（包括刚性底座和惯性元件）垂直位移和法向接触力的多次瞬态散射的一阶渐近模型（谐振器底座下方接触反应的时间相关积分特性）。考虑静态和瞬态多重散射场景。详细研究了模型参数变化引起的减幅因子的变化。