I am not an expert but have used adhesives in my art projects.
My first thought was an epoxy.
My second thought was a adhesive I use E 1000
i HAVE NEVER USED THIS SO i GOOGLED IT AND THIS IS WHAT i FOUND
http://www.superiorstoneproduc...
sorry about tyhe caps I am on my way out for the afternoon.
I have used GOOP and Silicone Sealer but dont know if it would work on a big project.