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http://hdl.handle.net/1942/26586
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DC Field | Value | Language |
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dc.contributor.author | van Duijn, C. J. | - |
dc.contributor.author | MITRA, Koondanibha | - |
dc.date.accessioned | 2018-08-03T13:52:45Z | - |
dc.date.available | 2018-08-03T13:52:45Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | TRANSPORT IN POROUS MEDIA, 122(2), p. 375-399 | - |
dc.identifier.issn | 0169-3913 | - |
dc.identifier.uri | http://hdl.handle.net/1942/26586 | - |
dc.description.abstract | It is well known that multiphase flow in porous media exhibits hysteretic behaviour. This is caused by different fluid-fluid behaviour if the flux reverses. For example, for flow of water in unsaturated soils the process of imbibition and drainage behaves differently. In this paper we study a new model for hysteresis that extends the current playtype hysteresis model in which the scanning curves between drainage and imbibition are vertical. In our approach the scanning curves are non-vertical and can be constructed to approximate experimentally observed scanning curves. Furthermore our approach does not require any book-keeping when the flux reverses at some point in space. Specifically, we consider the problem of horizontal redistribution to illustrate the strength of the new model. We show that all cases of redistribution can be handled, including the unconventional flow cases. For an infinite column, our analysis involves a self-similar transformation of the equations. We also present a numerical approach (L-scheme) for the partial differential equations in a finite domain to recover all redistribution cases of the infinite column provided time is not too large. | - |
dc.description.sponsorship | The first author acknowledges the support of the Darcy Centre of Utrecht University and Eindhoven University of Technology. The second author is thankful to Shell and NWO (Netherlands Organization for Scientific Research) for their financial support through the CSER programme (Project 14CSER016) and to Hasselt University for their support through the Project BOF17BL04. Both authors thank Prof. P.A. C. Raats (retired from Wageningen University) for his detailed comments and suggestions for improving the manuscript and Prof. I. S. Pop (Hasselt University and University of Bergen) for fruitful discussions on the subject. | - |
dc.language.iso | en | - |
dc.rights | © The Author(s) 2018; Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. | - |
dc.subject.other | hysteresis; multiphase porous flows; playtype; redistribution; scanning curves | - |
dc.title | Hysteresis and Horizontal Redistribution in Porous Media | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 399 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 375 | - |
dc.identifier.volume | 122 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Mitra, K (reprint author), Eindhoven Univ Technol, Dept Math & Comp Sci, Eindhoven, Netherlands, k.mitra@tue.nl | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1007/s11242-018-1009-2 | - |
dc.identifier.isi | 000427908500007 | - |
item.fullcitation | van Duijn, C. J. & MITRA, Koondanibha (2018) Hysteresis and Horizontal Redistribution in Porous Media. In: TRANSPORT IN POROUS MEDIA, 122(2), p. 375-399. | - |
item.accessRights | Open Access | - |
item.contributor | van Duijn, C. J. | - |
item.contributor | MITRA, Koondanibha | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2019 | - |
crisitem.journal.issn | 0169-3913 | - |
crisitem.journal.eissn | 1573-1634 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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van duijn 1.pdf | Published version | 1.37 MB | Adobe PDF | View/Open |
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