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Random maze models of flow through porous media

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Summary

This paper discusses a class of stochastic models of flow through porous media in which the randomness is attached to the structure of the medium rather than to the flow path. These models are obtained by generalizing an earlier model available in the literature where a regular ‘crystal’ was taken in which bonds (flow channels) were dammed in a random fashion, yielding a ‘random maze’. The hydraulic properties of general models of this type are calculated; in particular, it is shown that they exhibit the phenomenon of dispersion whereby the factor of dispersion turns out to be a linear function of the percolation velocity.

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References

  1. S. R. Broadbent andJ. M. Hammersley,Percolation Processes. I. Crystals and Mazes, Proc. Cambridge Phil. Soc.53, (1957), 629–641.

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  2. G. de Josselin de Jong,The Tensor Character of the Dispersion Coefficient in Anisotropic Porous Media, Paper No. 4/2 of the Symposium onThe Fundamentals of Transport Phenomena in Porous Media, (Technion, Haifa 1969).

  3. K. H. Liao andA. E. Scheidegger,Branching-type Models of Flow through Porous Media, Int. Ass. Sci. Hydrol. Bull.14 No. 4 (1969), 137–145.

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  4. A. E. Scheidegger,Statistical Hydrodynamics in Porous Media, J. Appl. Physics25, (1954). 994–1001.

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  5. P. Todorovic,A Stochastic Model of Longitudinal Diffusion in Porous Media, Water Res. Res.6, No. 1, (1970), 211–222.

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Authors and Affiliations

  1. Department of Metallurgy and Mining Engineering, University of Illinois, at Urbana-Champaign, Urbana, Illinois

    A. E. Scheidegger

Authors
  1. L. Torelli
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  2. A. E. Scheidegger
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Torelli, L., Scheidegger, A.E. Random maze models of flow through porous media. PAGEOPH 89, 32–44 (1971). https://doi.org/10.1007/BF00875202

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  • DOI: https://doi.org/10.1007/BF00875202

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