AbstractClays present remarkable electrokinetic features since they exist from very dilute colloidal state to nanoporous materials, according to the ration water/clay. The case of low volume fraction Vwater/Vtot which corresponds to compact systems is examined. The ionic distributions havebeen evaluated from Poisson-Boltzmann like models and compared to discrete solvent simulations. Electroosmosis and conductance ha v ebeen calculated, in the framework of the Mean Spherical Approximation (MSA) introduced in the Fuoss-Onsager transport theory.