{
  "annotation_id": "2f8cdf98-d38b-498b-b201-c8a060ade70e",
  "date_created": "2026-03-02T18:01:03.544000Z",
  "date_modified": "2026-03-02T18:01:03.544000Z",
  "file_hash": "cd54e36a1429ee1e68acccd2e26369ac5b039375e14e0a58d38a56fbcc2499aa",
  "private": false,
  "record": {
    "abstract": "We study the distributions of channel openings, local fluxes, and velocities\nin a two-dimensional random medium of non-overlapping disks. We present\ntheoretical arguments supported by numerical data of high precision and find\nscaling laws as function of the porosity. For the channel openings we observe a\ncrossover to a highly correlated regime at small porosities. The distribution\nof velocities through these channels scales with the square of the porosity.\nThe fluxes turn out to be the convolution of velocity and channel width\ncorrected by a geometrical factor. Furthermore, while the distribution of\nvelocities follows a Gaussian, the fluxes are distributed according to a\nstretched exponential with exponent 1/2. Finally, our scaling analysis allows\nto express the tortuosity and pore shape factors from the Kozeny-Carman\nequation as direct average properties from microscopic quantities related to\nthe geometry as well as the flow through the disordered porous medium.",
    "arxiv_id": "physics/0511085",
    "authors": [
      "Asc\u00e2nio D. Ara\u00fajo",
      "Wagner B. Bastos",
      "Jos\u00e9 S. Andrade Jr.",
      "Hans J. Herrmann"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevE.74.010401",
    "title": "The distribution of local fluxes in porous media",
    "url": "https://arxiv.org/abs/physics/0511085"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "76ade27f-045b-4e28-87cf-dcc7da3c229f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}