you could dig up the wet area and put in hard core to give it a soak away,

or you can get flexible plastic pipe especialy for drainage, it has small holes in the sides of the pipe to allow the water into the pipe so to drain the wet area of land

try search youtube,, garden drainage, and try french drain, french drain is when you dig a chanell to where you want the water to soak away to, you fill in the trench with hard core