TwinTurbo —
Tire pressure loss is almost always through the bead, valve or wheel porosity.
There is a way to show that if one assumes most of the air loss under normal operating conditions is through the tire rubber itself, and not through the valve, bead, etc., then the derived results are in agreement with the test results obtained by the
Consumer Reports.
From Table I of Liquid & Gas Permeability at Room Temperature, the relative permeability of N2 and O2 in butyl rubber is 50 and approximately 200, respectively. The permeability dimensions are not important here, but they are stated at the bottom of the table.
The ratio of air lost in an air-filled (78% N2, 21% O2) tire to nitrogen loss in a nitrogen-filled (100% N2) tire is
(0.78 * Permeability_of_N2 + 0.21 * Permeability_of_O2) / (1.00 * Permeability_of_N2) or
(0.78 * 50 + 0.21 * 200) / (1.00 * 50) or 1.62
That is, the mass loss by diffusion through the butyl rubber is 1.62 times greater in an air-filled tire than the mass loss in a nitrogen-filled tire. Because pressure loss in this case is nearly proportional to mass loss, the pressure loss in an air-filled tire should be, theoretically, about 1.62 times greater than the pressure loss in a nitrogen-filled tire.
The aforementioned Consumer Reports study showed that, after one year, the air-filled tires dropped in pressure, on average, 3.5 psi while the nitrogen-filled tires dropped, on average, 2.2 psi.
The ratio 3.5 to 2.2 is 1.59, in close agreement with my theoretically derived value of 1.62 above.
That is why I think, under standard operating conditions, most of the normal air loss takes place through the rubber tires themselves, and not through the valve, bead, etc. as you claim.
Of course, if one has an actual air leak, then we are talking about something entirely different.