I Mathematical methods.- Convergence of a finite volume scheme for a parabolic degenerate equation.- Error estimate for the finite volume approximate of the solution to a nonlinear convective equation.- An error estimate for the approximate solution of a porous media diphasic flow equation.- An analogue of Schwarz’s method for the construction of the Green function of the Zaremba problem and its application in underground hydrodynamics.- II New approaches.- Size and double-layer effects on the macroscopic behaviour of clays.- Parameter’s sensitivity in water storage modelling for unsaturated soils.- Mathematical investigation for groundwater pollution.- Solution of degenerate parabolic problems by relaxation schemes.- III Mass transport and heat transfer.- Transport in saturated porous media.- Perfection of the simulation of fresh-water / saltwater interface motion.- Numerical dispersivity in modelling of saltwater intrusion into a coastal aquifer.- Theoretical study and experimental validation of transport coefficients for hydrocarbon pollutants in aquifers.- Heat and mass transfer in cylindrical porous medium of activated carbon and ammonia.- Transcient natural convection in a square porous cavity submitted to different time-dependent heating modes.- IV Multiphase studies.- Adaptive mesh for two-phase flow in porous media.- Upscaling two-phase flow in double porosity media: nonuniform homogenization.- Flow of multicomponent gas condensate mixtures in fractured porous media.- Two-scale percolation — difference method for simulation the transport with trapping in porous media.- Contributors.