论文标题
多孔介质中流动的毛细管波动和能量动力学
Capillary fluctuations and energy dynamics for flow in porous media
论文作者
论文摘要
毛细管能屏障对多孔培养基中的不混溶流体流有重要影响。我们得出时间和空间平均理论，以说明非平衡行为，并了解其与大规模现象学方程的关系中静脉毛细管波动的作用。该公式解决了多孔介质中与两流体流有关的几个关键挑战：（1）基于时间和空间平均值，将几何和热力学数量构建为平滑的时间函数； （2）为膜开发了平均热力学； （3）确定了多尺度波动项，这说明了由于孔隙尺度事件而发生的界面和膜的瞬态行为； （4）在平均热力学上得出并强加了几何约束； （5）提出了针对包括电影贡献的毛细管压力动力学的新组成模型； （6）基于毛细管波动建立了代表性基本体积（REV）的时间和空间标准。毛细管波动是根据孔隙尺度的模拟和实验性核心渗透数据进行定量评估的。
Capillary energy barriers have important consequences for immiscible fluid flow in porous media. We derive time-and-space averaging theory to account for non-equilibrium behavior and understand the role of athermal capillary fluctuations in the context of their relationship to larger scale phenomenological equations. The formulation resolves several key challenges associated with two-fluid flow in porous media: (1) geometric and thermodynamic quantities are constructed as smooth functions of time based on time-and space averages; (2) averaged thermodynamics are developed for films; (3) multi-scale fluctuation terms are identified, which account for transient behaviours of interfaces and films that occur due to pore-scale events; (4) geometric constraints are derived and imposed on the averaged thermodynamics; (5) a new constitutive model is proposed for capillary pressure dynamics that includes contributions from films; and (6) a time-and-space criterion for representative elementary volume (REV) is established based on capillary fluctuations. Capillary fluctuations are assessed quantitatively based on pore-scale simulations and experimental core-flooding data.
