This paper presents a 2×2 dynamical system to study the cyclic appearance and disappearance of the gas phase in a two-component (CO2, H2O), two phase (gas, liquid) flow in a single pore. Depending on injection rate, linearization of the dynamical system around equilibrium shows that the gas phase can exhibit two behaviors, either cyclically vanishing and appearing, or approaching a steady-state volume value. Numerical simulations were also run on the fully non-linear dynamical system to verify the results of the linearized model.
compositional flow, two-phase flow, dynamic system, porous media
@inproceedings{k.the,
title={The dynamics of gas‑bubble formation at saturated conditions in porous media flow},
author={K. Alex Chang, and W. Brent Lindquist},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20210308102138049797740},
}
K. Alex Chang, and W. Brent Lindquist. The dynamics of gas‑bubble formation at saturated conditions in porous media flow. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20210308102138049797740.