This talk is the second part of our introduction to modeling multiple phases and phase transitions in fluids.
We start by introducing models of multiple component multiphase flow and transport in porous media. Such phenomena occur in applications to environmental engineering or petroleum and gas reservoir simulation. Of primary interest
is our study of methane hydrate, an ice-like substance containing molecules of gas, which forms in deep subsea sediments. We overview our work on hydrate formation and dissociation models at the basin scale, and how we used data from various collaborations to build and validate these models.
In the last part we motivate and describe our phase-field model of methane hydrate at the pore-scale which draws from the work of Tegze, Granasy, Kvamme et al, on gas hydrates from 2004-2010. The main challenge is to handle multiple components that can exist in multiple phases, and to work with a model which involves enough realistic complexity, yet is amenable to some mathematical and numerical analysis.