The present analysis confers the propagation characteristics of horizontally polarized​ shear (SH) wave through a heterogeneous transversely isotropic fluid-saturated poroelastic sandwiched layer of finite width embedded between two heterogeneous isotropic elastic half-spaces due to the impact of an impulsive line source. The dissipation of energy caused by the relative fluid flow is neglected in transversely isotropic fluid-saturated poroelastic sandwiched layer. The heterogeneities in layer and half-spaces are considered with the respective spatial quadratic and exponential type variations in the elastic constants and densities. Green’s functions are obtained for this sandwiched layered structure by considering a charge-density/line-force (Dirac-delta function) at lower bonding surface of layer and half-space. Dispersion relation for the propagation of SH wave in aforesaid structure has been obtained with well-known properties of Green’s functions, Fourier’s transformation and appropriate boundary conditions. The obtained dispersion relation is reduced for a structure with a heterogeneous transversely isotropic fluid-saturated poroelastic layer of finite width overlying a heterogeneous isotropic elastic half-space in the particular case of problem. Moreover, the obtained dispersion relations are validated and matched with pre-established standard and classical results. The effect of various affecting parameters viz. anisotropy of layer, porosity of layer and heterogeneities of layer and half-spaces on phase velocity of propagating wave in said structure are shown graphically through numerical computations. Further, a comparative study of distinct cases of heterogeneous/homogeneous structures is also performed which serves as the major highlight of the present study.

由于脉冲线源的影响，本分析通过嵌入两个异质各向同性弹性半空间之间的有限宽度异质横向各向同性流体饱和多孔弹性夹层赋予水平极化剪切 (SH) 波的传播特性。在横向各向同性的流体饱和多孔弹性夹层中，由相对流体流动引起的能量耗散被忽略。层和半空间中的异质性通过弹性常数和密度的各自空间二次型和指数型变化来考虑。通过考虑层和半空间的较低结合表面处的电荷密度/线力（Dirac-delta 函数），获得了这种夹层层状结构的格林函数。利用众所周知的格林函数性质、傅里叶变换和适当的边界条件，得到了上述结构中SH波传播的色散关系。在特定问题的情况下，对于具有有限宽度的异质横向各向同性流体饱和多孔弹性层覆盖异质各向同性弹性半空间的结构，所获得的色散关系会减小。此外，获得的色散关系经过验证并与预先建立的标准和经典结果相匹配。各种影响参数的影响即。层的各向异性、层的孔隙率以及层的不均匀性和半空间对所述结构中传播波相速度的影响通过数值计算得到了图形显示。更远，