I thank both of you for your insight in regard to this matter, but just for a follow up to fattdad's comment here is some of the data that I aqcuired.
I am not sure if this would have any effect on the test but there was a slight leak in the chamber was noticed when the vacuum was turned on...
I have just performed a Constant Head Test and a Falling Head Test, now I am supposed to compare the result of the coefficients of permeability. I was wondering if the result for the Constant Head is supposed to nearly double that of the Falling Head Test.