A new polarizable force field for describing the solvation of the uranyl (UO$_2$$^{2+}$) cation in solvent extraction phases has been developed for molecular dynamics simulations. The validity of the polarizable force field has been established by comparison with EXAFS and SWAXS experiments. This new force field allows for describing both the UO$_2$$^{2+}$ hydration and solvation properties in good agreement with the experiments. In aqueous phases we demonstrated that the UO$_2$$^{2+}$ force field has been improved from the previous one we developed. Indeed, the UO$_2$$^{2+}$ structural and dynamics properties, i.e., the dynamics of the water molecules in the vicinity of the uranyl cation, calculated from molecular dynamics are in better agreement with the EXAFS experiments. Furthermore, the transferability of the UO$_2$$^{2+}$ force field proposed here has been validated on typical solvent extraction phases containing uranyl nitrate salts with extractant molecules, namely DMDOHEMA molecules, in n-heptane. The good agreements observed between the theoretical (MD simulations) and experimental UO$_2$$^{2+}$ structures at the molecular (EXAFS) and supramolecular (SWAXS) scales prove the accuracy of the UO$_2$$^{2+}$ force field developed and proposed in the present paper.