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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References

SHOWING 1-10 OF 45 REFERENCES
Flow-induced channelization in a porous medium
Flow through a saturated, granular, porous medium can lead to internal erosion, preferential flow enhancement, and the formation of channels within the bulk of the medium. We examine this phenomenon…
Insights in erosion instabilities in nonconsolidated porous media
We investigate the different flow regimes in nonconsolidated porous media. The porous bulk is soaked with water, which is then pumped out of it, across the boundary defined by the particles at the…
Reactive-infiltration instability in radial geometry: From dissolution fingers to star patterns.
We consider the process of chemical erosion of a porous medium infiltrated by a reactive fluid in a thin-front limit, in which the width of the reactive front is negligible with respect to the…
Causes and consequences of flow organization during melt transport: The reaction infiltration instability in compactible media
Geochemical and field evidence suggest that melt transport in some regions of the mantle is localized into mesoscale “channels” that have widths of 0.1–100 m or larger. Nevertheless, the mechanisms…
Instabilities in the dissolution of a porous matrix
A reactive fluid dissolving the surrounding rock matrix can trigger an instability in the dissolution front, leading to spontaneous formation of pronounced channels or wormholes. Theoretical…
Flow in deformable porous media. Part 1 Simple analysis
Many processes in the Earth, such as magma migration, can be described by the flow of a low-viscosity fluid in a viscously deformable, permeable matrix. The purpose of this and a companion paper is…
Erosion of a granular bed driven by laminar fluid flow
Motivated by examples of erosive incision of channels in sand, we investigate the motion of individual grains in a granular bed driven by a laminar fluid to give us new insights into the relationship…
Nonlocal damage accumulation and fluid flow in diatomites
We investigate a new model for fluid flows in diatomite formations recently introduced by Barenblatt, Patzek, Prostokishin and Silin. We provide numerical evidences of the existence of a sharp front…
Modelling distributed and channelized subglacial drainage: the spacing of channels
  • I. Hewitt
  • Engineering
    Journal of Glaciology
  • 2011
Abstract Models are proposed for channelized and distributed flow of meltwater at the base of an ice sheet. The volumes of both channel and distributed systems evolve according to a competition…
Spontaneous channelization in permeable ground: theory, experiment, and observation
Landscapes that are rhythmically dissected by natural drainage channels exist in various geologic and climatic settings. Such landscapes are characterized by a length-scale for the lateral spacing…
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