论文标题
关于多孔介质运输的动态系统方法的底漆
A Primer on the Dynamical Systems Approach to Transport in Porous Media
论文作者
论文摘要
从历史上看，多孔介质流，溶质混合和运输的主要概念范式是基于异质多孔介质中稳定的二维流。尽管现在可以很好地认识到，在毛孔或达西尺度上，新型运输现象都可能出现在不稳定和/或三维流中，但尚未广泛使用用于分析和理解这些更复杂流量的适当方法。在本引物中，我们主张从动态系统（混乱）理论借用的方法，该理论旨在揭示这些流的\ emph {lagrangian运动学}：即如何组织和相互作用以及对溶质传输和混合的相关影响。这种动力的运输方法本质上是拉格朗日人，而拉格朗日的运动学形成了拉格朗日相干结构（LCSS），这些特殊轨迹将拉格朗日框架分为混乱的混合区域，不良的混合区域（在某些情况下都不是混合的持有区域）（以及在某些情况下都不是混合的岛屿'）和运输式障碍物，这些区域和这些岛屿的各个区域和这些区域都组织了这些区域。因此，动态系统方法提供了可能表现出混乱，常规（非核）或混合拉格朗日运动学的流量的见解，以及LCSS如何组织溶质传输和混合的方式。新型实验方法直到最近才允许LCS的可视化在多孔培养基流中。在此入门中，我们回顾了多孔介质流和运输的动力系统方法，并将相关工具和技术与从毛孔到达西量表的最新研究结果联系起来。该底漆提供了动态系统理论的方法和工具的介绍。一旦熟悉了这些方法，多孔媒体研究人员就会更好地知道何时可以期待复杂的拉格朗日运动学，如何发现和理解LCSS及其影响...
Historically, the dominant conceptual paradigm of porous media flow, solute mixing and transport was based on steady two-dimensional flows in heterogeneous porous media. Although it is now well recognised that novel transport phenomena can arise in unsteady and/or three-dimensional flows at both the pore- or Darcy-scales, appropriate methods for analysis and understanding of these more complex flows have not been widely employed. In this primer we advocate for methods borrowed from dynamical systems (chaos) theory, which aim to uncover the \emph{Lagrangian kinematics} of these flows: namely how fluid particle trajectories (which form a dynamical system) are organized and interact and the associated impacts on solute transport and mixing. This dynamical systems approach to transport is inherently Lagrangian, and the Lagrangian kinematics form Lagrangian coherent structures (LCSs), special sets of trajectories that divide the Lagrangian frame into chaotic mixing regions, poorly mixing hold-up regions (and in some cases non-mixing ``islands'') and the transport barriers that organise these regions. Hence the dynamical systems approach provides insights into flows that may exhibit chaotic, regular (non-chaotic) or mixed Lagrangian kinematics, and also into how LCSs organize solute transport and mixing. Novel experimental methods are only recently permitting visualization of LCSs are in porous media flows. In this primer we review the dynamical systems approach to porous media flow and transport and connect the associated tools and techniques with the latest research findings from pore to Darcy scales. This primer provides an introduction to the methods and tools of dynamical systems theory. Once familiar with these approaches, porous media researchers will be better positioned to know when to expect complex Lagrangian kinematics, how to uncover and understand LCSs and their impacts ...
