Flow-Driven Branching in a Frangible Porous Medium.

@article{Derr2020FlowDrivenBI,
  title={Flow-Driven Branching in a Frangible Porous Medium.},
  author={Nicholas J. Derr and David C. Fronk and Christoph A. Weber and Amala Mahadevan and Chris H. Rycroft and Lakshminarayanan Mahadevan},
  journal={Physical review letters},
  year={2020},
  volume={125 15},
  pages={
          158002
        }
}
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. We provide a simple theoretical framework that embodies this feedback mechanism in a multiphase model for flow through a frangible 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… 

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