Preprints
https://doi.org/10.5194/hess-2023-209
https://doi.org/10.5194/hess-2023-209
09 Oct 2023
 | 09 Oct 2023
Status: a revised version of this preprint is currently under review for the journal HESS.

Hydrodynamic Porosity: A Paradigm Shift in Flow and Contaminant Transport Through Porous Media, Part II

August H. Young and Zbigniew J. Kabala

Abstract. In this work, we build upon our previous finding that hydrodynamic porosity, θmobile, is an exponential function of pore-scale flow velocity (or interstitial Reynolds number). We previously discovered this relationship for media with a square cavity geometry – a highly idealized case of the dead-ended pore spaces in a porous medium. Thus, we demonstrate the applicability of this relationship to media with other cavity geometries. We do so by applying our previous analysis to rectangular and non-rectangular cavity geometries (i.e., circular, and triangular). We also study periodic flow geometries to determine the effect of upstream cavities on those downstream. We show that not only does our exponential relationship hold for media with a variety of cavity geometries, but it does so almost perfectly with a coefficient of determination (R²) of approximately 1 for each new set of simulation data. Given this high fit quality, it is evident that the exponential relationship we previously discovered is applicable to most, if not all, unwashed media.

August H. Young and Zbigniew J. Kabala

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on hess-2023-209', Jesús Carrera, 13 Nov 2023
    • AC1: 'Reply on RC1', August Young, 08 Feb 2024
  • RC2: 'Comment on hess-2023-209', Anonymous Referee #2, 05 Dec 2023
    • AC1: 'Reply on RC1', August Young, 08 Feb 2024
August H. Young and Zbigniew J. Kabala

Data sets

Simulation Data, Part 2 August Young, Zbigniew Kabała https://doi.org/10.17605/OSF.IO/Y4EUH

Model code and software

Wolfram Language Code, Part 2 August Young, Zbigniew Kabała https://doi.org/10.17605/OSF.IO/3UMBV

August H. Young and Zbigniew J. Kabala

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Short summary
Previously, we presented and quantified the concept of hydrodynamic porosity, which we define as the variable fraction of a medium’s porosity conducive to through-flow (see: Hydrodynamic Porosity: A Paradigm Shift in Flow and Contaminant Transport Through Porous Media, Part I). In this work, we move toward the modeling of real media by demonstrating the applicability of this concept to media with a wide range of rectangular, non-rectangular, and periodic cavity geometries.