Abstract

A two-dimensional axisymmetric problem of pressure wave propagation in a porous medium of a layered structure is considered. The wave initiated by a pressure pulse in a cavity with a liquid enters and propagates in a layered porous medium. The problem is solved numerically in the framework of the two-velocity, two-stress model of a porous medium. The features of the evolution of elastic waves are investigated. The influence of the ratio of the permeability of layers and the surrounding porous medium, as well as the characteristics of the initial perturbation on the evolution of the pressure wave are analyzed. It is established that after the perturbation penetrates from the cavity into an inhomogeneous layered porous medium, the transmitted waves interact at the boundaries of the layers, which creates a complex wave pattern. The highest propagation velocity and the lowest signal attenuation are observed in the layer with the highest permeability.

中文翻译：

---

具有不同渗透率层的多孔介质中的弹性波

摘要

考虑了压力波在层状结构多孔介质中传播的二维轴对称问题。由带有液体的腔中的压力脉冲引发的波进入层状多孔介质并在其中传播。该问题在多孔介质的双速度、双应力模型的框架内进行了数值求解。研究了弹性波的演化特征。分析了各层渗透率与周围多孔介质的比值以及初始扰动特征对压力波演化的影响。已经确定，在扰动从空腔渗透到非均匀层状多孔介质后，透射波在层的边界处相互作用，从而产生复杂的波型。