TY - JOUR
AU - Rodriguez Bermudez, Panters
PY - 2023/10/27
Y2 - 2024/07/13
TI - Using a Partially-Linear Simplified Model for Gravitational Three Phase-Flow of Water, Oil and Supercritical C02 in Porous Media
JF - Technische Mechanik - European Journal of Engineering Mechanics
JA - TechMech
VL - 43
IS - 2
SE - Article
DO - 10.24352/UB.OVGU-2023-060
UR - https://journals.ub.ovgu.de/index.php/techmech/article/view/2171
SP - 238-248
AB - <p lang="en-US">In this article we use a simplified model for vertical three-phase flow in porous media of immiscible fluids like water,<br />oil and supercritical-CO<sub>2</sub>. The relative permeability functions of oil and CO<sub>2</sub> phases are assumed to be linear functions of the<br />respective saturations while the relative permeability of the water phase is a quadratic function of water saturation. For vertical<br />flow (gravity taken into account) and fluids having small density differences, the model intend to represent the case in which phases<br />supercritical-CO<sub>2</sub> and oil are inclined to miscibility when water phase is absent for certain temperature and pressure conditions,<br />while the flow gains some immiscibility properties as the water phase becomes present. This model leads to a 2x2 system of<br />conservation laws which loose strict hyperbolicity at three isolated coincidence points at the edges of the saturation triangle. We<br />use the wave curve method to solve a class of Riemann Problem.</p>
ER -