Abstract

This article deals with the behavior of reflection/transmission phenomena on the propagation of SH waves in a corrugated fluid-saturated porous layer sandwiched between heterogeneous viscoelastic and orthotropic half-spaces. Various mathematical tools such as Rayleigh’s method of approximation, Snell’s law, Crammer’s law are applied to get the analytical expression for the reflection/transmission coefficient and energy ratio for each scattered wave. A numerical treatment has been performed for a particular model to study the nature of various affecting parameters such as heterogeneity, viscosity, porosity, angle of incidence, and wave number. A comparative study has been made for the graphical observation to show the effect of the various affecting parameters in the presence and absence of porosity. The reflection/transmission coefficient, energy ratio for each wave (regularly and irregularly reflected/transmitted wave) are calculated analytically and given a graphical representation for a particular model. It has been shown that the conservation of energy rule holds very well in the model. The finding of this article may be valuable in the field of seismology and geophysics to enhance the knowledge about the structure of rock in the interior of the Earth and its elastic property.

摘要

本文研究反射/透射现象对 SH 波在夹在异质粘弹性和正交各向异性半空间之间的波纹状流体饱和多孔层中传播的行为。应用瑞利近似法、斯涅尔定律、克拉默定律等各种数学工具，得到各散射波的反射/透射系数和能量比的解析表达式。对特定模型进行了数值处理，以研究各种影响参数的性质，例如异质性、粘度、孔隙率、入射角和波数。对图形观察进行了比较研究，以显示存在和不存在孔隙率时各种影响参数的影响。反射/透射系数，每个波（规则和不规则反射/透射波）的能量比通过分析计算，并给出特定模型的图形表示。已经表明，能量守恒定律在模型中非常适用。这篇文章的发现可能对地震学和地球物理学领域有价值，可以增进对地球内部岩石结构及其弹性特性的认识。