A puzzle about brattices is that they seem to draw air down into the mine, then immediately turn it round and send it back up again. The archaeological report's illustrations showed no method for encouraging the fresh air to go sideways into the tunnels of the mine.
You need to look up "trappers" - children were sent into the mines to work alongside Father and Mother. The children would have been positioned by little doors that they opened and closed as the drams came trough. As I understand it there were haulage routes and air routes, both kept separate from each other.
I *think* that in some mines a fire was lit at the end of the drive towards the vent flue, so that natural convection would be given a boost - it might also explain the vent shaft bieng wider at the top and smaller at the base.
Caves are a different matter:
It depends if there's an active streamway pulling air in (Swildons Hole, Mendip) or a fossil cave (Whtepit Cave, Mendip) to use 2 examples that I am very familiar with.
Swildons usually has decent air quality most of the year with little build up of Co2 (Unless you hit a traffic jam at the 20 foot waterfall - then its a bit huffy puffy), whereas Whitepit is a fossil cave with no running water and consequently suffers from poor air quality year round.
The other thing to bear in mind is that atmospheric conditions can have an impact on the air, ie when the air pressure is low the Co2 gets pushed into the bottom of the cave (Co2 is denser than atmoshperic air) and in high pressure the Co2 moves up the passage.
Because we have been digging in Whitepit using "Dr Nobel's Chemical Linctus" (as well as other more traditional methods) the resulting fumes are terrible and its usually wise to evacuate the cave and leave it for a week to clear, its either that or take a pony 7 cylinder down and give the end of the dig a good suirt of fresh air!
As for the effects of Co2 on a human body, google "Pink Puffers and Blue Bloaters"
I hope this helps in answering your question.
Better to regret something you have done - than to regret something you have not done.