This paper develops an averaging technique based on the combination of the eigenfunction expansion method and the collaboration method to investigate the multiple scattering effect of the SH wave propagation in a porous medium. The semi-analytical averaging technique is conducted using Monto Carlo method to understand the macroscopic dispersion and attenuation phenomena of the stress wave propagation in a porous solid due to multiple scattering effects. The averaging technique is verified by finite element analysis. Finally, a simple homogenized elastic model with structural damping is proposed to describe the macroscopic attenuation effect of SH waves in a porous medium.

中文翻译：

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弹性波在多孔固体中传播的均质阻尼模型

本文开发了一种基于本征函数展开法和协作法相结合的平均技术来研究 SH 波在多孔介质中传播的多重散射效应。半解析平均技术是使用蒙托卡罗方法进行的，以了解应力波在多孔固体中由于多重散射效应传播的宏观色散和衰减现象。平均技术通过有限元分析得到验证。最后，提出了一个简单的具有结构阻尼的均匀弹性模型来描述多孔介质中 SH 波的宏观衰减效应。