you show 2 different approaches
Wood cut from the end of a log is often called a "cookie" because of the shape. It is all end grain, because the tree grew opposite to the thickness. End grain can be sealed but it wicks up the sealer rapidly. It will also develop splits or checks as it dries unevenly. It does have a rustic appearance and may be desirable for that reason. The bark showing may be what you want also. If you want a natural look then you need a clear sealer. If you're going to paint it then you can use a latex paint on both sides to seal and top coat it.
The other approach you showed was a glue up of long grain which is easier to seal. Kinda like the wood on a floor. Someone glued it up then either spun it on a lathe or used a router to round off the edges on the planks, then sanded it smooth.
Back to the cookies. The links Daren posted should help, if not
search here for more info on drying cookies. People have used micro waves, solar kilns and dehumidfier kilns to dry green or freshly cut wood. The faster you dry it without sealing the more it's likely to split. Sorry no easy fast solution....
BTW the wood turners will have solutions for sealing green wood and Anchor Seal is one I know of, but the log ends must be sealed immediately after sawing.
The answer to your question will only be as detailed and specific as the question is detailed and specific. Good questions also include a sketch or a photo that illustrates your issue. (:< D)
Last edited by woodnthings; 09-27-2011 at 02:39 PM.