To validate measurement results obtained using a custom-built, high-stress permeameter (HSP), consolidation experiments were carried out on kaolin ("Peerless 2" from Vanderbilt Minerals) using both the HSP and industry standard fixed-ring oedometers. From these consolidation tests, the compression index, Cc, and recompression index, Cr, were obtained. Additionally, permeability measurements were made during the consolidation tests to obtain the porosity-dependent permeability for kaolin. In the HSP, permeability was measured by directly flowing water through the kaolin while measuring the flow rate and pressure gradient. In the oedometers, Terzaghi’s log-time theory was used to estimate permeability. Along with consolidation and permeability data, this data release includes data and calculations used to establish the specimen height in the HSP, and example calculations are provided for the HSP- and oedometer-based permeability calculations. These calculations include the permeability corrections required to account for permeability contributions from the porous stones that cap each sample in each device.