We develop a staggered finite element procedure for the coupling of a free viscous flow with a deformable porous medium, in which interface phenomena related to the skin effect can be incorporated. The basis of the developed simulation procedure is the coupled Stokes-Biot model, which is supplemented with interface conditions to mimic interface-related phenomena. Specifically, the fluid entry resistance parameter is used to relate the fluid flux through the interface to the pressure jump across the interface. The attainable jump in pressure over the interface provides an effective way of modeling sharp pressure gradients associated with the possibly reduced permeability of the interface on account of pore clogging. In addition to the fluid entry resistance parameter, the developed simulation strategy also includes the possibility of modeling fluid slip over the porous medium. Sensitivity studies are presented for both the fluid entry resistance parameter and the slip coefficient, and representative two- and three-dimensional test cases are presented to demonstrate the applicability of the developed simulation technique.

中文翻译：

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具有流体进入阻力的Stokes-Biot耦合系统的交错有限元程序

我们开发了一种交错的有限元程序，用于将自由粘性流与可变形的多孔介质耦合，其中可以包含与集肤效应相关的界面现象。所开发的仿真程序的基础是耦合的Stokes-Biot模型，该模型补充了界面条件以模拟与界面相关的现象。具体地，流体进入阻力参数用于将通过界面的流体通量与穿过界面的压力跳跃相关联。界面上可获得的压力跃变提供了一种建模急剧压力梯度的有效方法，该压力梯度与由于孔隙堵塞而可能降低的界面渗透性有关。除了流体进入阻力参数外，开发的模拟策略还包括对多孔介质上的流体滑移进行建模的可能性。提出了针对流体进入阻力参数和滑移系数的敏感性研究，并提出了具有代表性的二维和三维测试案例，以证明所开发的模拟技术的适用性。