Preprints
https://doi.org/10.5194/egusphere-2022-673
https://doi.org/10.5194/egusphere-2022-673
23 Aug 2022
 | 23 Aug 2022

Semi-continuum modelling of unsaturated porous media flow to explain the Bauters' paradox

Jakub Kmec, Miloslav Šír, Tomáš Fürst, and Rostislav Vodák

Abstract. In gravity-driven free infiltration of a wetting liquid into a homogeneous unsaturated porous medium, the flow pattern is known to depend significantly on the initial saturation. Point-source infiltration of a liquid into an initially dry porous medium produces a single finger with an oversaturated tip and an undersaturated tail. In an initially wet medium, a diffusion-like plume is produced with a monotonic saturation profile. We present a semi-continuum model based on a proper scaling of the retention curve which is discrete in space and continuous in time. We show that the semi-continuum model is able to describe this transition and to capture the experimentally observed dependence of the saturation overshoot and the finger velocity on the initial saturation.

Journal article(s) based on this preprint

24 Mar 2023
Semi-continuum modeling of unsaturated porous media flow to explain Bauters' paradox
Jakub Kmec, Miloslav Šír, Tomáš Fürst, and Rostislav Vodák
Hydrol. Earth Syst. Sci., 27, 1279–1300, https://doi.org/10.5194/hess-27-1279-2023,https://doi.org/10.5194/hess-27-1279-2023, 2023
Short summary
Jakub Kmec, Miloslav Šír, Tomáš Fürst, and Rostislav Vodák

Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on egusphere-2022-673', Anonymous Referee #1, 04 Oct 2022
    • AC1: 'Reply on RC1', Jakub Kmec, 17 Jan 2023
  • RC2: 'Comment on egusphere-2022-673', Anonymous Referee #2, 23 Dec 2022
    • AC2: 'Reply on RC2', Jakub Kmec, 17 Jan 2023
  • RC3: 'Comment on egusphere-2022-673', Anonymous Referee #3, 05 Feb 2023
    • AC3: 'Reply on RC3', Jakub Kmec, 15 Feb 2023

Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on egusphere-2022-673', Anonymous Referee #1, 04 Oct 2022
    • AC1: 'Reply on RC1', Jakub Kmec, 17 Jan 2023
  • RC2: 'Comment on egusphere-2022-673', Anonymous Referee #2, 23 Dec 2022
    • AC2: 'Reply on RC2', Jakub Kmec, 17 Jan 2023
  • RC3: 'Comment on egusphere-2022-673', Anonymous Referee #3, 05 Feb 2023
    • AC3: 'Reply on RC3', Jakub Kmec, 15 Feb 2023

Peer review completion

AR: Author's response | RR: Referee report | ED: Editor decision | EF: Editorial file upload
ED: Publish subject to minor revisions (further review by editor) (15 Feb 2023) by Nadia Ursino
AR by Jakub Kmec on behalf of the Authors (20 Feb 2023)  Author's response   Author's tracked changes   Manuscript 
ED: Publish subject to minor revisions (review by editor) (21 Feb 2023) by Nadia Ursino
ED: Publish as is (24 Feb 2023) by Nadia Ursino
AR by Jakub Kmec on behalf of the Authors (27 Feb 2023)  Author's response   Manuscript 

Journal article(s) based on this preprint

24 Mar 2023
Semi-continuum modeling of unsaturated porous media flow to explain Bauters' paradox
Jakub Kmec, Miloslav Šír, Tomáš Fürst, and Rostislav Vodák
Hydrol. Earth Syst. Sci., 27, 1279–1300, https://doi.org/10.5194/hess-27-1279-2023,https://doi.org/10.5194/hess-27-1279-2023, 2023
Short summary
Jakub Kmec, Miloslav Šír, Tomáš Fürst, and Rostislav Vodák

Data sets

Simulation data for: Semi-continuum modelling of unsaturated porous media flow to explain the Bauters' paradox Jakub Kmec, Miloslav Šír, Tomáš Fürst, Rostislav Vodák https://doi.org/10.5281/zenodo.6860668

Model code and software

The semi-continuum model for unsaturated porous media flow Jakub Kmec https://doi.org/10.5281/zenodo.6837742

Jakub Kmec, Miloslav Šír, Tomáš Fürst, and Rostislav Vodák

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Latest update: 26 Jan 2024
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The requested preprint has a corresponding peer-reviewed final revised paper. You are encouraged to refer to the final revised version.

Short summary
When rain falls on the ground, most of the water subsequently flows through the soil. The movement of water through the partially wet soil layer is surprisingly complicated. For decades, no mathematical model has been able to capture this process in its entire complexity. Here, we present a model that aims to solve this long-standing problem. In this paper, we show that the model correctly reproduces the transition between diffusion and preferential flow regimes.