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Study of Love-type wave vibrations in double sandy layers on half-space of viscoelastic: An analytical approach

机译:粘弹性半空间中双层砂层的爱型波振动研究:一种分析方法

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Purpose - The purpose of this paper is to examine the dependency of dispersion and damping behavior of Love-type waves on wave number in a heterogeneous dry sandy double layer of finite thickness superimposed on heterogeneous viscoelastic substrate under the influence of hydrostatic initial stress. Design/methodology/approach - The mechanical properties of the material of both the dry sandy layers vary with respect to a certain depth as quadratic and hyperbolic function, while it varies as an exponential function for the viscoelastic semi-infinite medium. The method of the separation of variables is employed to obtain the complex frequency equation. Findings - The complex frequency equation is separated into real and imaginary components corresponding to dispersion and damping equation. After that, the obtained result coincides with the pre-established classical equation of Love wave, as shown in Section 5. The response of all mechanical parameters such as heterogeneities, sandiness, hydrostatic stress, thickness ratio, attenuation and viscoelasticity on both the phase and damped velocity against real wave number has been discussed with the help of numerical example and graphical demonstrations. Originality/value - In this work, a comparative study clarifies that the Love wave propagates with higher speed in an isotropic elastic structure as compared to the proposed model. This study may find its applications in the investigation of mechanical behavior and deformation of the sedimentary rock.
机译:目的 - 本文的目的是检查爱型波在异构粘弹性底物上的有限厚度的非均相干式砂质双层中波数对波数的色散和阻尼行为的依赖性。设计/方法/方法 - 干式沙层的材料的机械性能相对于一定的深度为二次和双曲线功能,而它变化为粘弹性半无限介质的指数函数。采用变量分离的方法来获得复频频率方程。调查结果 - 复杂的频率方程被分成与色散和阻尼方程对应的实际和虚部。之后,所获得的结果与第5节中所示的预先建立的古典方程一致。所有机械参数如异质性,砂质,静水应力,厚度比,衰减和粘弹性在相位和在数值示例和图形演示的帮助下,已经讨论了针对实际波数的阻尼速度。原创性/价值 - 在这项工作中,与所提出的模型相比,比较研究阐明了爱力在各向同性弹性结构中具有更高的速度。本研究可以在调查沉积岩石的力学行为和变形调查中找到其应用。

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