In our study, we examined a variety of mortar and concrete mixtures. In this paper we will present results for the following mixture compositions. We studied capillary sorption in two mortars: an ASTM C109 [17] mixture (w/c=0.485, s/c=2.75) and a second mixture (HPM) where w/c=0.29 and s/c=1.4. The maximum aggregate size for these mixtures was about 2mm. We also used two concrete mixtures to compare sorptivity in high and low porosity specimens. Mixture 1 had a w/c=0.6, s/c=2.75, and a gravel/cement mass ratio of 1.43. The air content of mixture 1 was 6%. Mixture 2 (HPC) had a lower air content of about 2%, with w/c=0.36, s/c=2.02, and a gravel/cement mass ratio of 1.12. The sand was a mixture of four sand grades. In addition, to improve workability, a high-range water reducer (0.09% by mass) was used in mix 2. The maximum aggregate size for the concrete mixtures was about 20mm. The concrete specimen were made about 7 times wider than the maximum aggregate size in order to limit finite size effects due to aggregate size.