I have a thread running in the Optics section about mirage and glass. May I ask what scope you were using, make, model, etc?
Also, it's called "aperture", but what it really is, it's a way to cut down on the size of the objective lens in a way that will increase the depth of field and thus reduce the criticality of perfect focus that gets messed up by the mirage. If you make a hole in a cardboard sheet or a lens cap cover to be half the area of the objective lens, you will get the equivalent of 1 f-stop reduction. It will show more mirage because of the greater depth of field but it may reduce what I called the CAI, Crazed Amoeba Index; the pulsating center of the target viewed through a scope.
I did some quick calculations and if your objective lens is a 56mm, the diameter of the hole you need for 1 f-stop reduction is 39.6mm.
The formula is S = sqrt((O ^ 2) / 2)
Where S is the smaller objective diameter and O is the objective lens size (diameter) in millimeters.
If you want 2 f-stops reduction, change the 2 to a 4 in the division.
ETA: I corrected the definition in the formula above. Age is a terrible thing to have to deal with.