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http://hdl.handle.net/1942/29034
Title: | Wetting fronts in unsaturated porous media: The combined case of hysteresis and dynamic capillary pressure | Authors: | MITRA, Koondanibha Van Duijn, Cornelis Johannes |
Issue Date: | 2019 | Source: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 50, p. 316-341 | Abstract: | This paper extends the work of van Duijn et al. (2018) where travelling wave solutions for wetting fronts were considered under the presence of only capillary hysteresis effect and only dynamic capillary effect. In this work, we investigate how the gravity driven wetting fronts behave while moving through long vertical homogeneous porous columns, under the combined effect of capillary hysteresis and dynamic capillarity. It is shown that the developed saturation profiles will exhibit non-monotone behaviour if certain parametric conditions are satisfied. The characteristics of the profiles are explained in detail for all the cases. Moreover, parametric conditions that inhibit the fronts from reaching full saturation are laid out. The analysis agrees well with experimental observations. Finally, numerical results are shown that confirm all the theoretical predictions. | Notes: | Mitra, K (reprint author), Eindhoven Univ Technol, Dept Math & Comp Sci, Eindhoven, Netherlands. k.mitra@tue.nl | Keywords: | Unsaturated porous flow; Wetting fronts; Capillary hysteresis; Dynamic capillarity; Travelling waves; Overshoot | Document URI: | http://hdl.handle.net/1942/29034 | Link to publication/dataset: | https://www.sciencedirect.com/science/article/pii/S1468121818306254#! | ISSN: | 1468-1218 | e-ISSN: | 1878-5719 | DOI: | 10.1016/j.nonrwa.2019.05.005 | ISI #: | 000477783900016 | Rights: | 2019 Elsevier Ltd. All rights reserved | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2020 |
Appears in Collections: | Research publications |
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1-s2.0-S1468121818306254-main.pdf Restricted Access | Published version | 1.25 MB | Adobe PDF | View/Open Request a copy |
UP1803.pdf | Non Peer-reviewed author version | 665.4 kB | Adobe PDF | View/Open |
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