Earlier devblogs indicated greater depth might make it take longer to mine a unit of ore or something. Also some comment about digging too deep... What I'm wondering is how far it is "remembered". Like if you delete and rebuild your whole mine does it reset?
There was some mention of an underlying "resource map" so if the mine indeed depleted that it would cause the appropriate level (realistic) trouble with your infinite source. There were also mentions of future modules to help counteract the depletion but ah...