The first figure of 322 gallons of oil saved would be for a totally sunny winter, however it is easier to factor in cloudy days when you get to the end of the calculation. (Sorry to be over optimistic.) Assume that 45% of the days are cloudy. Then 322 x .55 equals 177 gallons of oil saved, or 3.2 barrels.
There are three other imponderable factors here as well:
1. Cloudy days in winter are usually warmer than sunny days in winter, so the equivalent heating fuel use on the cloudy days would be less than the solar fuel “use” for a sunny day.
2. Directly saving the equivalent of a barrel of oil at the site of the house really saves more than that because it also saves the energy otherwise used to explore for, find, extract, refine & transport the oil to the house.
3. An oil furnace is never 100 percent efficient & to replace 100 BTUs of sun takes a bit more than 100 BTUs worth of oil.