WordNet sense 1 (wet through and through; thoroughly wet):

saturated, soaking, sodden, sopping, soppy, soaked

WordNet sense 2 (covered or soaked with a liquid such as water):

wet

WordNet sense 3 (abundantly covered or supplied with; often used in combination):

drenched in

WordNet sense 4 (overlaid or spread or topped with or enclosed within something; sometimes used as a combining form):

covered