[en] The ID-based migration code MIVID-R was set up, making it possible to model radionuclide migration through a bentonite layer for variable forms of the boundary and starting conditions while taking into account gradual corrosion degradation of the spent fuel, and to set up balance of the nuclide in question in the container. The retardation of the dominant transport phenomenon, ie., diffusion, is regarded as dependent on the nonlinear shape of the sorption isotherm. With regard to the expected shape of the container and of the surrounding bentonite layer, the code is set up for the cylindrical configuration. The code solves the basic migration equation by the finite difference method and makes possible treatment of simultaneous migration of a set of nuclides which are interrelated by a genetic chain or which compete with each other in sorption