[en] (author) The objective of this research thesis is to be a contribution to electro-kinetic phenomena at the continuum scale (about the nanometer) in a complex porous structure. After a general overview of equations and problems raised by electro-kinetic phenomena (geological barriers for radioactive wastes, local electrokinetic equations, porous media, parallel computing and numerical simulation), the author addresses the electro-osmosis in porous solids for high zeta potentials (electrokinetic equations and their resolution) and generalizes his approach to universal electro-osmosis formulae for porous media. He reports the study of ionic transports in porous media for high zeta potentials (electrokinetic equations and numerical simulation) and of the influence of the Stern layer on electrokinetic phenomena