Thermodynamische Modellierung von Zweiphasenströmung in porösen Medien unter Einbeziehung von Phasengrenzflächen
The goal of the research is to develop a physically based model for two-phase flow that is able to reproduce hysteretic and dynamic effects in both homogeneous and heterogeneous porous media at the macroscale. The work is based on the rational thermodynamics approach that includes fluid-fluid interfacial areas as variables. This approach allows to describe capillary hysteresis as well as local non-equilibrium effects in a porous medium. In particular, specific fluid-fluid interfacial area is considered as a third continuum and respective mass balance equation of the interfaces is constructed. A new formulation of the production of interfacial area is proposed. The model is aimed to reproduce dynamic overshoots observed in experiments. A careful numerical study based on the developed model can provide a better insight into the origin of the overshoots. In addition, an interface condition between two soils that accounts for the continuity of phase and interface properties is to be developed. The model has to be tested for heterogeneous porous media.
Hassanizadeh, S. Majid
Pop, Iuliu Sorin