Probably some silicone.

If you pull out the drawers and look up underneath, can you see the countertop or do you have a plywood top to the cabinet itself? If you do, there's a chance they glued it with construction adhesive as well, although that's overkill.

If you can see the countertop, you'll probably see the corner pieces where the cabinets were screwed to the countertop from underneath.

I took out base cabinets and replaced them. Mine were Wilsonart built in place. They were glued, screwed, and nailed to the cabinets. Luckily the cabinets were pre-particle board crap board and I just hacked them out.

I actually used a 12" drawer base to support the countertop while I removed and replaced the others. The perfect height.

I don't see why you shouldn't go for it. What's the alternative?

Christine

I can see the underside of the Corian from underneath. I do see some 1" support strips between the Corian and the base frames. I also see silicone between the counter and the 1" strips, but don't see any squeeze out between the strip and cabinet. I hope they didn't nail the strip down into the cabinet frame. I haven't pulled out the toe kick to see how much shimming was done [but knowing the prior owner, the floor was probably flat and square - he was an engineer like me]

For the two I want to remove without damaging, one is a 12" drawer base that will move to the other end; the other is a 33" drawer base that will go into the dining room and be the start of a builtin buffet. [I have a third to remove that is on a peninsula but I'm not keeping that so I can hack more aggressively on it.]

These are Kraftmaid Cherry cabinets with the real wood frame upgrade.

I was involved with kitchen remodeling for many years. From my experience, there is a good chance nothing is attaching the cabinetry to the Corian. I would pull the dishwasher out (fairly simple) and double check.