The results of studies of the kinetic and diffusion coefficients for the adsorption of surfactants on oil-bearing rocks in the nonlinear region of the isotherm are cited. These parameters allow you to select an effective solution filtration mode, set the motion velocity of concentration points of the adsorption front, control the longitudinal-temporal distribution of surfactant concentrations on the solid and mobile phases of the bed depending on the initial concentration and the flow rate of the solution. The paper presents a numerical method for determining the parameters of the equations of a mathematical model of the adsorption of surfactants – sulfonol from an aqueous solution in oil sand using experimental data. It takes into account that the kinetics coefficient and the effective diffusion coefficient in a porous medium depend on the concentration of the target component. With using experimental data and the developed methodology, empirical equations for the kinetics coefficient and the effective diffusion coefficient of the process are determined. It is determined that these coefficients vary within very large limits. As a result of the research, the adequacy of the calculated data of the adsorbate and the adsorptive to experiment al. The maximum average deviation does not exceed 8%

https://doi.org/10.32737/0005-2531-2019-3-57-61