The present work is based on a mixture theory of poroelastic media which is consistent with the classical Darcy’s law and uplift force in soil mechanics. In addition, it also results in having an inertial effect on the motion of solid constituent as commonly expected, in contrast to Biot’s theory, where relative acceleration is introduced as an interactive force between solid and fluid constituents to account for the apparent inertial effect. The propagation of plane harmonic waves in homogeneously deformed region is considered. For different poroelastic models with either incompressible solid or incompressible fluid constituent, phase speeds and attenuation coefficients are analysed and numerically determined with convenient data from a nonlinear material model for comparison with some available results in the literature.

中文翻译：

---

多孔介质理论与谐波在多孔弹性体内的传播

目前的工作是基于多孔弹性介质的混合理论，该理论与经典达西定律和土壤力学中的升力是一致的。此外，与Biot的理论相反，它还导致了对固体成分运动的惯性作用，这与人们普遍预期的Biot理论相反，后者的理论是将相对加速度作为固体和流体成分之间的相互作用力引入，以解决表观的惯性作用。考虑了平面谐波在均匀变形区域中的传播。对于具有不可压缩的固体或不可压缩的流体成分的不同多孔弹性模型，分析了相速度和衰减系数，并使用来自非线性材料模型的便捷数据进行了数值确定，以与文献中的一些现有结果进行比较。