A charge near the interface between a polar/conductive and a non-polar/non-conductive phase is pulled toward by the polar phase. For example, an ion at water|gas is attracted to the water bulk by the water dipoles oriented by the charge itself, i.e., the image force is the ion-dipole interaction. The hydration force is the short-ranged part of the same ion-dipole interaction (affected by the structure of the first 1-2 hydration layers of the ion).
The integral of the sum of these two forces from z = infinity (gas phase) to z = -infinity (water) yields the Born energy of the ion. Or the Born + the Debye-Hueckel energy, in case it is an electrolyte solution. Onsager's theory for the screened image force is the generalization of the Born-Debye-Hueckel model for an ion near an interface.