One of our SFB 1313 publications (in cooperation with the Hasselt University and the University of Stuttgart) is one of the top cited articles of Studies In Applied Mathematics:
"Fronts in two-phase porous media flow problems: The effects of hysteresis and dynamic capillarity"
Congratulations to:
- Koondanibha Mitra (Hasselt University)
- Tobias Köppl (Hasselt University)
- Sorin Iuliu Pop (Hasselt University, SFB 1313 Mercator Fellow and co-investigator, research project C02)
- Hans van Duijn (TU Eindhoven, SFB 1313 Mercator Fellow, research project C02)
- Rainer Helmig (University of Stuttgart, SFB 1313 spokesman, research projects A02 and C02)
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.
Sorin Iuliu Pop
Prof. Dr.Participating Researcher, Research Project C02, Mercator Fellow
Hans van Duijn
Prof. PhDResearch Project C02, Mercator Fellow
Rainer Helmig
Prof. Dr.-Ing. Dr.-Ing. h.c.Principal Investigator, Former Spokesperson, Research Projects A02 and C02