Logs can act different, and be unpredictable. Some can be left whole for years with just the ends sealed and they're fine... while the next log tries to split itself apart. One will get destroyed by wood borers while one beside it doesn't.
In order to protect your bow wood in logs, get them up off of the ground, spray them with a powerful insecticide, and get them out of the sun, heat, wind, and weather. Do NOT cover them with a tarp or plastic. Get the best of them split and start removing bark and sapwood as you have time. Seal the ends and backs as they're exposed. I like to use shellac.
Logs will keep for months, but check on them. However, I generally split them, spray them with bug spray, and seal their ends right away, which leaves less to chance.