The problem of parametric identification of some nonlinear models of fast hydrogen permeability of alloys for membrane technologies for the release of high-purity hydrogen (on the example of alloy B1) is solved. Not only diffusion in the bulk of the material is taken into account, but also physical and chemical processes on the surface: adsorption, desorption and rapid dissolution. The mathematical software and the results of numerical simulation for a three-stage breakthrough experiment with vacuum pumping at the membrane outlet from the structural material under study are presented. The influence of the accumulation of atomic hydrogen on the surface has been studied. Keywords: hydrogen permeability, membrane technology of gas separation, parametric model identification.