Applied Physics and Mathematics Annotation << Back FILTRATION OF UNSTEADY FLOW «HYDROCARBON-SUPERCRITICAL CO2 » IN A HOMOGENEOUS POROUS MEDIUM UNDER VARIOUS THERMOBARIC CONDITIONS A.V. RADAEV, I.T. SALIMYANOV, A.N. SABIRZYANOV A mathematical model of the filtration process of the hydrocarbon-supercritical fluid system in a homogeneous porous medium in a wide range of pressures and temperatures has been developed based on the material balance of the hydrocarbon and supercritical fluid. The mathematical model has been tested using experimental data. The standard deviation of the experimental data from the calculated ones is no more than 16.7 %. An implicit-explicit scheme (implicit by pressure, explicit by saturation) using the IMPES method was used in the discretization process. New calculation results have been obtained for the dependence of the dimensionless mass transfer coefficient on the similarity simplices in the process of filtration of the non-stationary hydrocarbon-supercritical CO2 flow. A decrease in the mass transfer coefficient of kerosene from a porous medium with a decrease in its absolute permeability has been shown. The calculation results can be used to issue a feasibility study for conducting pilot operations in oil fields. Keywords: supercritical fluid, mass transfer coefficient, porous medium, non-stationary flow filtration, similarity simplex. DOI: 10.25791/pfim.01.2025.1321 Pp. 09-19.