Purpose

This paper aims to study the attenuation and dispersion phenomena of shear waves in anelastic and elastic porous strips. Numerical investigations are performed for the phase and damped velocity profiles of the wave. For numerical computation purposes, water-saturated limestone and kerosene oil saturated sandstone for the first and second porous strips, respectively. Some other peculiarities have been observed and discussed.

Design/methodology/approach

Dispersion and attenuation characteristic of the shear wave propagations have been studied in an inhomogeneous poro-anelastic strip of finite thickness, which is clamped between an inhomogeneous poroelastic strip of finite thickness and an elastic half-space. Both the strips are initially stressed and the half-space is self-weighted. Analytical methods are used to calculate the interior deformations of the model with the involvement of special functions. The determination of the frequency equation, which includes the Bessel’s and Whittaker functions, has been obtained using the prescribed boundary conditions.

Findings

Impacts of attenuation coefficient, dissipation factor, inhomogeneities, initial stresses, Biot’s gravity, porosity and thickness ratio parameters on the velocity profile of the wave have been demonstrated through the graphical visuals. These parameters are playing an important role and working as a catalyst in affecting the propagation behaviour of the wave.

Originality/value

Inclusion of the concept of doubly layered initially stressed inhomogeneous porous structure of elastic and anelastic medium bedded over a self-weighted half-space medium brings a novelty to the existing literature related to the study of shear wave. It may be helpful to geologists, seismologists and structural engineers in the development of theoretical and practical studies.

中文翻译：

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弹性和弹性多孔条中横波的衰减和色散现象

目的

本文旨在研究剪切波在非弹性和弹性多孔条中的衰减和色散现象。对波的相位和阻尼速度分布进行了数值研究。出于数值计算的目的，水饱和石灰岩和煤油饱和砂岩分别用于第一和第二多孔条带。已经观察和讨论了一些其他特性。

设计/方法/方法

剪切波传播的色散和衰减特性在有限厚度的非均匀多孔非弹性带中进行了研究，该带夹在有限厚度的非均匀多孔弹性带和弹性半空间之间。两个条带最初都受到应力，半空间是自重的。分析方法用于计算模型的内部变形，并涉及特殊函数。频率方程的确定，包括 Bessel 和 Whittaker 函数，已经使用规定的边界条件获得。

发现

衰减系数、耗散因子、不均匀性、初始应力、Biot 重力、孔隙率和厚度比参数对波的速度剖面的影响已通过图形视觉效果得到证明。这些参数在影响波的传播行为方面发挥着重要作用并起到催化剂的作用。

原创性/价值

包含在自重半空间介质上的弹性和非弹性介质的双层初始应力非均匀多孔结构的概念为与剪切波研究相关的现有文献带来了新奇。它可能有助于地质学家、地震学家和结构工程师开展理论和实践研究。