The mechanism of the effect of stresses on wave propagation in a fluid-saturated porous media has not been well understood. The goal of this paper is to fill this gap. First we formulated the general equations of motion in a homogeneously pre-stressed fluid-saturated medium and use them to derive explicit expressions of velocity dependence on stresses. Equations for fast and slow longitudinal waves allow substantial simplifications. The feasibility of fast longitudinal wave simplification is verified by comparison with experimental data available in literature.

中文翻译：

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流体饱和多孔介质中应力对波传播的影响

应力对流体饱和多孔介质中波传播的影响机制尚未得到很好的理解。本文的目标就是填补这一空白。首先，我们制定了均匀预应力流体饱和介质中的一般运动方程，并使用它们来推导出速度对应力的依赖关系的明确表达式。快速和慢速纵波的方程允许大量简化。通过与文献中可用的实验数据进行比较，验证了快速纵波简化的可行性。