[en] Lately several experimental data have been collected or published on the dissolution of spent fuel in solutions saturated with dissolved hydrogen. In the SFS project there are also several planned experiments of this type with different solids (alpha-doped UO₂, high burnup spent fuel or MOX) or solution compositions (distilled water, low ionic strength carbonated solutions, concentrated NaCl solutions). There have been already also different hypothesis forwarded to explain the data as well as full models proposed including the influence of the dissolved Fe(II) on the fuel dissolution. Some ideas towards the main lines of modeling spent fuel dissolution under such conditions will be presented. The hydrogen effect on spent fuel dissolution is relatively recent and experiments are still carried out to confirm or rule it out for different spent fuels and conditions. For this reason it would be too ambitious at the present level of knowledge to present a full modeling of such data. This is because a spent fuel dissolution model should be valid for predictions of geological time scales based on relatively short time experiments. This is possible only with a very good understanding of the dissolution process and of the mechanisms underlying the hydrogen effect, while a simple extrapolation of experimental data for repository time scales would not be reliable. (Author)