Purpose

The purpose of this paper is to investigate the mathematical model comprising a heterogeneous fluid-saturated fissured porous layer overlying a non-homogeneous anisotropic fluid-saturated porous half-space without fissures. The influence of point source on horizontally polarized shear-wave (SH-wave) propagation has been studied intensely.

Design/methodology/approach

Techniques of Green’s function and Fourier transform are applied to acquire displacement components, and with the help of boundary conditions, complex frequency equation has been constructed.

Findings

Complex frequency relation leads to two distinct equations featuring dispersion and attenuation properties of SH-wave in a heterogeneous fissured porous medium. Using MATHEMATICA software, dispersion and damping curves are sketched to disclose the effects of heterogeneity parameters associated with both media, parameters related to rigidity and density of single porous half-space, attenuation coefficient, wave velocity, total porosity, volume fraction of fissures and anisotropy. The fact of obtaining classical Love wave equation by introducing several particular conditions establishes the validation of the considered model.

Originality/value

To the best of the authors’ knowledge, effect of point source on SH-wave propagating in porous layer containing macro as well as micro porosity is not analysed so far, although theory of fissured poroelasticity itself has vast applications in real life and impact of point source not only enhances the importance of fissured porous materials but also opens a new area for future research.

中文翻译：

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点源对裂隙多孔弹性介质的影响：格林函数方法

目的

本文的目的是研究数学模型，该模型包括覆盖在非均匀各向异性流体饱和多孔半空间上的非均质流体饱和裂缝多孔层，没有裂缝。点源对水平极化横波（SH-wave）传播的影响已得到深入研究。

设计/方法/方法

应用格林函数和傅里叶变换技术获取位移分量，并借助边界条件构造复频率方程。

发现

复杂的频率关系导致了两个不同的方程，这些方程具有非均质裂隙多孔介质中 SH 波的色散和衰减特性。使用 MATHEMATICA 软件绘制色散和阻尼曲线，以揭示与两种介质相关的非均质性参数、与单孔半空间刚度和密度相关的参数、衰减系数、波速、总孔隙率、裂缝体积分数和各向异性的影响. 通过引入几个特定条件获得经典洛夫波动方程的事实建立了所考虑模型的验证。

原创性/价值

据作者所知，尽管裂隙孔隙弹性理论本身在现实生活中有着广泛的应用和点的影响，但目前还没有分析点源对 SH 波在包含宏观和微观孔隙度的多孔层中传播的影响。 source 不仅增强了裂隙多孔材料的重要性，而且为未来的研究开辟了一个新领域。