Wood glue? Do you mean white pva glue? If so not a great choice due to its rubberiness, and the fact that its not waterproof. Not saying it won't work, just that there are much better choices like a bowmakers epoxy, or urea formaldehyde(unibond) that are both waterproof and much stronger than pva.
I have had z joints start to come apart even with hardware store, 24 hr epoxy.