Within the framework of the Generation IV Sodium-cooled Fast Reactor R&D French program, a new physico-statistical approach is currently followed by the CEA for accident transient calculations in complement to the reference mechanistic codes. This approach involves a fast-running description of extended accident sequences coupling physical models for the main phenomena to advanced statistical analysis techniques. A large number of simulations may be performed in a reasonable computational time while describing all the possible bifurcations of the accident transient. In this context, this PhD work deals with the development (models and results assessment) of the physical tool dedicated to the primary phase of the Unprotected Transient OverPo...