@article{Rodriguez Bermudez_2023, title={Using a Partially-Linear Simplified Model for Gravitational Three Phase-Flow of Water, Oil and Supercritical C02 in Porous Media}, volume={43}, url={https://journals.ub.ovgu.de/index.php/techmech/article/view/2171}, DOI={10.24352/UB.OVGU-2023-060}, abstractNote={<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>}, number={2}, journal={Technische Mechanik - European Journal of Engineering Mechanics}, author={Rodriguez Bermudez, Panters}, year={2023}, month={Oct.}, pages={238–248} }