The dynamics of gas‑bubble formation at saturated conditions in porous media flow

K. Alex Chang Department of Applied Mathematics, National Pingtung University W. Brent Lindquist Department of Mathematics, Texas Tech University

Dynamical Systems Mathematical Physics mathscidoc:2103.11001

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
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@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.
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