论文标题
流动驱动的分支在易碎的多孔介质中
Flow-driven branching in a frangible porous medium
论文作者
论文摘要
通道形成和分支在物理系统中广泛看到，在物理系统中，流体通过多孔结构的运动导致介质的时空演化响应流动，进而导致流动途径进化。我们提供了一个简单的理论框架，该框架在多相模型中体现了这种反馈机制，以通过具有动态渗透性的脆弱多孔介质进行流动。该模型的数值模拟显示了分支网络的出现，其拓扑由外流强迫的几何形状决定。这使我们能够描绘出分裂和/或合并分支网络形成的条件，这对软性易碎媒体中的理解和控制分支具有潜在的影响。
Channel formation and branching is widely seen in physical systems where movement of fluid through a porous structure causes the spatiotemporal evolution of the medium in response to the flow, in turn causing flow pathways to evolve. We provide a simple theoretical framework that embodies this feedback mechanism in a multi-phase model for flow through a fragile porous medium with a dynamic permeability. Numerical simulations of the model show the emergence of branched networks whose topology is determined by the geometry of external flow forcing. This allows us to delineate the conditions under which splitting and/or coalescing branched network formation is favored, with potential implications for both understanding and controlling branching in soft frangible media.
