标题： 渗透性界面的孔弹性流动：基于哈密顿原理的方法及其有限元实现 显示英文标题

标题： Poroelastic flow across a permeable interface: a Hamilton's principle approach and its finite element implementation

摘要： 我们研究了可变形多孔介质内穿过渗透界面的流体流动。 我们采用混合理论。 假设混合物的组分在纯态下是不可压缩的。 我们利用哈密顿原理推导控制方程，并提出相应的有限元实现方法。 允许过滤速度和孔隙压力在界面上不连续，同时在界面本构行为中构建对这些不连续性的某种控制。 为了便于在有限元方案中实际实施该公式，我们在界面上引入拉格朗日乘子场以显式强制执行质量平衡的跳跃条件。 我们的公式似乎恢复了一些文献中的基本结果。 这项工作的创新之处在于制定了一种方法，能够容纳特定的本构假设，这些假设与界面行为有关，但不一定意味着过滤速度和/或孔隙压力在其上的连续性。 显示英文摘要

摘要： We consider fluid flow across a permeable interface within a deformable porous medium. We use mixture theory. The mixture's constituents are assumed to be incompressible in their pure form. We use Hamilton's principle to obtain the governing equations, and we propose a corresponding finite element implementation. The filtration velocity and the pore pressure are allowed to be discontinuous across the interface while some control of these discontinuities is built into the interfacial constitutive behavior. To facilitate the practical implementation of the formulation in a finite element scheme, we introduce a Lagrange multiplier field over the interface for the explicit enforcement of the jump condition of the balance of mass. Our formulation appears to recover some basic results from the literature. The novelty of the work is the formulation of an approach that can accommodate specific constitutive assumptions pertaining to the behavior of the interface that do not necessarily imply the continuity of the filtration velocity and/or of the pore pressure across it.