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http://hdl.handle.net/1942/30869
Title: | Fronts in two-phase porous media flow problems:The effects of hysteresis and dynamic capillarity | Authors: | MITRA, Koondanibha KOEPPL, Tobias POP, Sorin van Duijn, C. J. HELMIG, Rainer |
Issue Date: | 2020 | Publisher: | WILEY | Source: | STUDIES IN APPLIED MATHEMATICS, 144 (4), p. 449-492 | Abstract: | In this work, we study the behavior of saturation fronts for two-phase flow through a long homogeneous porous column . In particular, the model includes hysteresis and dynamic effects in the capillary pressure and hysteresis in the permeabilities. The analysis uses traveling wave approximation. Entropy solutions are derived for Riemann problems that are arising in this context. These solutions belong to a much broader class compared to the standard Oleinik solutions, where hysteresis and dynamic effects are neglected. The relevant cases are examined and the corresponding solutions are categorized. They include nonmonotone profiles, multiple shocks, and self-developing stable saturation plateaus. Numerical results are presented that illustrate the mathematical analysis. Finally, we discuss the implication of our findings in the context of available experimental results. | Notes: | Mitra, K (reprint author), Tech Univ Dortmund, Fac Math, Vogelpothsweg 87, D-44227 Dortmund, Germany. koondanibha.mitra@tu-dortmund.de |
Other: | Mitra, K (reprint author), Tech Univ Dortmund, Fac Math, Vogelpothsweg 87, D-44227 Dortmund, Germany. koondanibha.mitra@tu-dortmund.de | Keywords: | dynamic capillarity;hysteresis;Riemann problem;traveling waves;two-phase flow | Document URI: | http://hdl.handle.net/1942/30869 | ISSN: | 0022-2526 | e-ISSN: | 1467-9590 | DOI: | 10.1111/sapm.12304 | ISI #: | WOS:000517494400001 | Rights: | 2020 The Authors.Studies in Applied Mathematicspublished by Wiley Periodicals, Inc. Fronts in two-phase porous media flow problems:The effects of hysteresis and dynamic capillarityThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2021 |
Appears in Collections: | Research publications |
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Stud Appl Math.pdf | Published version | 1.98 MB | Adobe PDF | View/Open |
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