ljh,
With a vinyl pool, your CH is fine and I was looking for CH that was too high anyway so your pool's CH level doesn't explain the pH drop.
As for a pool's natural tendency towards a pH, that usually refers to a directional push based on chemical additions plus outgassing of carbon dioxide. So with Trichlor pools, the tendency is for lower pH and generally a base (Borax or pH Up / Washing Soda / Sodium Carbonate) needs to be added. For hypochlorite pools (bleach, chlorinating liquid) the tendency is neutral or rising pH depending on the aeration. For SWG pools, the tendency is usually rising pH due to aeration from the SWG. The degree varies based on the amount of aeration, but the direction is usually pretty consistent. For these latter pools with a tendency to rise in pH, the rise slows down at higher pH so appears to slow or stop at a higher pH (i.e. to reach a natural pH), but this is consistent with outgassing based on this table (moving from left to right).
The TA drop would be consistent with some sort of acid getting introduced into your pool combined with some degree of outgassing (assuming the pH was the same each time you measured the TA -- if the pH was lower, then a somewhat lower TA would be expected, though not a 20-30 drop). I wouldn't think DE would do that.
With a solar cover on, you are keeping the outgassing to a minimum so there is probably very little upward push on pH so that is understandable. The mystery is what is causing the pH to drift downward. 4 pounds of Borax at a TA of 100 (CYA of 30) should cause the pH to go from 7.2 to 7.4, not 7.6, but that could just be measurement error on both ends of the pH measurement. At a TA of 80, 4 pounds goes from 7.2 to 7.5 which is closer to what you are seeing.
Going from 7.6 to 7.2 in a week is like having the equivalent of 40 ounces of Muriatic Acid added to your pool. It is just very, very odd.
Increasing your TA will reduce the amount of pH drop per week, but won't change the amount of Borax you need to add. The carbonate buffer gets stronger at lower pH so dropping from 7.6 to 7.2 in one week would go to just below 7.0 the following week (i.e. it wouldn't go to 6.8). Nevertheless, with your vinyl liner you don't want the pH to get too low (i.e. below 7.0) so you do have to stay on top of this each week.
If you do aeration, then you can keep the pH more stable, BUT you'll have to add Baking Soda periodically to maintain the TA. If you aerated enough to compensate for the equivalent of 40 fluid ounces of acid per week, you would lose about 7 ppm TA every week and need to outgas slightly less and add 36 ounces weight of Baking Soda per week.
I think we need to figure out the source of the "acid". By any chance, this isn't a new liner, is it? Though we know that new plaster cures and causes a significant rise in pH, I've never heard of new vinyl doing the opposite, but I'm open for any suggestion at this point.
You say you check the chlorine daily, but what sort of chlorine consumption do you have at your 3-5 ppm FC level? With a cover and the lower temps, you shouldn't be having much consumption at all -- if it's more than 0.5 ppm FC or so then something is consuming chlorine and maybe that something is producing acid (though that's a heck of a lot of acid). Maybe the cover, since it's a solar cover, is letting UV rays through and that would lead to higher chlorine consumption. My cover is fairly opaque (it's an electric safety cover) so my chlorine consumption is very, very low when it's kept covered.
Richard
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