Fluid flow and ion transport effects under an applied pressure with a streaming current, or under an applied electric potential were analyzed using the triphasic theory. The results showed that charged hydrated soft issues such as articular cartilage would appear more permeable when tested in the presence of a streaming current than when tested in the presence of a streaming potential. This is because the streaming potential is always against the ion transport convected by the fluid. The permeability determined under the streaming current condition (i.e. the hydraulic permeability) is almost independent of the fixed-charge density(FCD) of the tissue. Stress and strain fields within the specimen, under the electroosmotic conditions, were also calculated. Based on these calculations estimates were provided to assess the possible errors inherent in measuring tissue FCD from these types of electro-kinetic experiments.