...You don't really need a penetrating epoxy...A decent epoxy or simple carpenters aliphatic glue like Titebond II will work fine for this purpose if applied correctly...
Bob
Bad advice.
Use WEST epoxy for best results.
First off, there are lots of epoxies equal to West Systems for this application. Secondly, Titebond II is waterproof once dried and sealing the stock with finish is extra insurance. Aliphatic glues are as strong as the initial wood or stronger once applied correctly and cured. I've used them several times for this type of repair and they have been excellent in every respect as compared to West Sytems epoxy, which I also use often in these situations...