We study the anelastic properties (attenuation and velocity dispersion) of surface waves at an interface between a finite water layer and a porous medium described by Biot theory including the frequency-dependent effects due to mesoscopic flow. A closed-form dispersion equation is derived, based on potential functions and open and sealed boundary conditions (BC) at the interface. The analysis indicates the existence of high-order surface modes for both BCs and a slow true surface mode only for sealed BC. The formulation reduces to two particular cases in the absence of water and with infinite-thickness water layer, with the presence of pseudo-versions of Rayleigh and Stoneley waves. The mesoscopic flow affects the propagation of all the pseudo-surface waves, causing significant velocity dispersion and attenuation, whereas the effect of the BC is mainly evident at high frequencies, due to the presence of the slow Biot wave. The mesoscopic-flow peak moves to low frequencies as the thickness of the water layer increases. In all cases, the true surface wave resembles the slow P2 wave, and is hardly affected by the flow.

我们研究了 Biot 理论描述的有限水层和多孔介质之间界面处表面波的滞弹性特性（衰减和速度色散），包括由细观流动引起的频率相关效应。基于界面处的势函数和开放和密封边界条件 (BC)，导出了一个封闭形式的色散方程。分析表明，两种 BC 都存在高阶表面模式，而仅密封 BC 存在慢速真实表面模式。该公式简化为两种特殊情况：无水和无限厚水层，存在瑞利波和斯通利波的伪版本。细观流动影响所有伪表面波的传播，导致显着的速度色散和衰减，而由于慢毕奥波的存在，BC 的影响主要在高频下很明显。随着水层厚度的增加，细观流动峰值移动到低频。在所有情况下，真正的表面波都类似于慢 P2 波，几乎不受流动的影响。