In SAYC I believe the book interpretation of opener's second round double is penalty, 2 NT by responder then would be natural and invitationala suggestion to play NT with a full passed hand with stoppers in the red suits. (Opener has promised values in the blacks.) Most 2/1 styles use opener's second round double as conventional. 3 main types-promising a 4 card heart suit, a three card diamond raise, or a general takeout. The Bridge World's polls suggest that standard expert practice in the specific auction ending with this double only the opener has promised a 4 card heart suit. Regardless of specific convention, 2NT then would be natural and invitational with a spade stop or two. These conventions require an alert. If partner alerted we would not hear. If we don't know our own system and we failed to alert, we wuld not find out until 1. we remembered, and /or 2. too late.