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I have been having to add a couple of quarts of oil between changes. The floor is dry, so it's not coming out the bottom. I also haven't noticed any smoke. Is this a ring problem, and is this common? I assume that my warranty would cover this problem.
Since your sig says you own a 1999 model I doubt your car is a candidate for the "oil consumer club". I have a 2001 and that was the only model year that GM went stupid and installed their "low tension" rings to help with gas mileage. Odds are you are simply buring the oil. If you do not see any leakage or drips along the undercarriage and engine area, you have to be burning it. And oil burning does not necessarily mean blue smoke out the tailpipes.
One caution, oil going out the tailpipe will eventually kill your catalytic converters by contaminating the sulphur catalyst. You may want to get this oil issue checked before you fail an emissions test.