The enchantment will stay on the land even if it doesnt do anything (Much like -1/-1 or +1/+1 counters)
This is not entirely true.
If you have a Raging Ravine enchanted with an enchant creature like Lifelink, the aura will "fall off" when the land ceases to be a creature. Whereas an enchant permanent such as Indestructibility would of course remain attached to the land.
On a slightly related note, will an enchantment or equiptment stick on a Raging Ravine that has turned back to just a land?
As of the 2nd one i believe that the equipment would be removed since you cannot equip equipment to lands
Edit: didnt see part of the qustion
The enchantment will stay on the land even if it doesnt do anything (Much like -1/-1 or +1/+1 counters)
Creature auras like hyena umbra fall off. Auras that enchant permanents like indestructibility stay on.
This is not entirely true.
If you have a Raging Ravine enchanted with an enchant creature like Lifelink, the aura will "fall off" when the land ceases to be a creature. Whereas an enchant permanent such as Indestructibility would of course remain attached to the land.
EDIT: Nath'd
Level 1 Judge