Mathematical modeling of multiphase filtration under near-critical conditions / A. A. Afanas'ev, O. E. Mel'nik. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. ? 3. P. 68-72 [Moscow Univ. Math. Bulletin. Vol. 68, N 3, 2013.].

We examine modern modelling approaches for multiphase flows in porous media. We analyse mathematical challenges in numerical simulations of flows in porous media under critical thermodynamic conditions. We propose enthalpy instead of temperature as a primary simulation variable for effective simulations of the flows under critical conditions.

Key words: porous media, multiphase flow, thermodynamics, critical point, numerical simulation.