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In the present paper results of 3D FE modeling of thermodynamic consolidation of drifting ice ridge realized in Comsol Multiphysics 5.1 are described. Conditions at the boundaries of the computational domain including air temperature and water temperature at 10 m depth are reproduced for two types of ice drift trajectories in the north-west Barents Sea. Trajectory of the first type is reconstructed with the data of ice trackers deployed on the drift ice near Kong Karls Land in March 15, 2010. The air and water temperatures are taken from numerical simulations with ocean dynamics model INMOM (Institute of Numerical Mathematics Ocean Model) elaborated in the Institute of Numerical Mathematics of RAS and realized in the State Oceanographic Institute (Moscow). Water salinity at 10 m depth calculated with the same model is used for the calculation of the freezing point. Simulated trajectory of ice drift approximates well observed drift of ice trackers from Kong Karls Land to Edgoya Island, and then to the west coast of Spitsbergen. Trajectory of the second type is reconstructed with a map of surface currents in the Barents Sea with assumption that wind drag forces ice drift to the region of Bear Island. ESIMO data base is used to reproduce air temperature, and sea water temperature and salinity along the trajectory. Numerical simulations demonstrate melting of ridge keel when it drifts along the second type trajectory. Consolidation of the ridge keel without melting was found when model ice ridge drifts along the first type trajectory. Results of simulations are sensible to the spatial and temporal distribution of the water temperature and salinity in ice adjacent layer.