Yea I was just fermenting a batch and after shaking it around to infuse some oxygen(probably better with a tank of O2 and a diffuser stone) for the yeast i was wondering how much oxygen is consumed by the yeast and how much remains in solution and does fermentation or purging displace that? Also how long after adding yeast should I be worried about oxygen getting into an open or lightly covered fermenter opening? I ask this because I sometimes get a furious krausen with my IPA and with my lager I don't want suckback from the blowoff until the temp stabilizes.
The yeast will use the O2 that you dissolve in the wort at pitching.
Like many things in brewing, different home brewers find what works best for them. If you're noticing that you're beer is becoming oxidized (and you want to stop it), you can move to more stringent processes.
I have noticed hoppy beer lasting much longer since controlling O2 during/after fermentation. Years ago I had a Bravo/Summit IPA that I kegged by open racking with an auto siphon. At kegging it had an amazing bright citrus tangerine character. Over time it darkened, lost hop flavor/aroma, and got sickly sweet. I dumped out the couple gallons that was left. This doesn't happen anymore.
If you are worried about oxidation, you should at minimum make sure that your fermenter is airlocked (or equivalent) by the time fermentation begins to slow down. I like using FermCap, ~2 gallons of headspace, and low pressure during fermentation to prevent large krausen from causing problems.
If you cold crash, find a way to prevent suckback of air (lots of discussion on here of that with balloons, positive CO2 pressure, etc.)
The next step would be a closed transfer to a purged keg (or O2 mitigating bottling techniques - I don't bottle, but I know there's at least one thread on here addressing it).
Purging your keg would probably be a waste of CO2 if you are fermenting without an airlock and open transferring.
If you really want to go down the rabbit hole, there are hot side low oxygen techniques as well, which the Low Oxygen Brewing sub-forum here goes into. For me, it isn't worth it to go into the hot side stuff, but others find great value in it (and still others think it is a myth). My understanding is if you do the hot side without doing the cold side, you've wasted your time. So if you want to start somewhere, start with the cold side.