The new technologies of operative monitoring of spent nuclear fuel (SNF) condition at the bottom seas and search for the lost objects with SNF at the bottom using Kr-85, are developed. The development of the ship low-level background complex (Kr-85, tritium etc.) for radionuclide anomalies searching in the sea is launched also. The purpose of a carried out stage of researches is the development new paradigm of sea radioecology based on a preliminary experimental research of kinetics of release fission products (85Kr and 137Cs) from SNF, with the subsequent realization expedition (including preliminary radionuclide measurements on a vessel!) and modeling researches of 85Kr transport in near-bottom layer for minimization of points of sampling (stations and working horizons) on the hydrological data of expedition area (with use of a fractal formalism). Final result of the project is the conservative estimation of risks to the population and environment at its pollution in case of release of a radioactivity from dumped ship reactor and NPS with the not unloaded SNF.