Solute Transport in Porous Media with Equilibrium and Non{equilibrium Multiple{site Adsorption: Uniqueness of Weak Solutions

Travelling Waves in the Transport of Reactive Solutes through Porous Media: Adsorption and Binary Ion Exchange { Part 1

We develop a model for solute transport in porous media, which takes into account equilibrium and non-equilibrium multiple-site adsorption. Binary ion exchange is included. Adsorption rate formulations and their isotherms are reviewed and their mathematical properties investigated. This forms the basis of the study of travelling wave solutions in the second part of the paper.

Solute Transport in Porous Media with Equilibrium and Non-equilibrium Multiple-Site Adsorption: Travelling Waves

Analytical solutions for non-equilibrium solute transport in three-dimensional porous media

The movement of water and chemicals in soils is generally better described with multidimensional nonequilibrium models than with more commonly used one-dimensional and/or equilibrium models. This paper presents analytical solutions for non-equilibrium solute transport in semi-infinite porous media during steady unidirectional flow. The solutions can be used to model transport in porous media wh...

Three-dimensional analytical models for time-dependent coefficients through uniform and varying plane input source in semi-infinite adsorbing porous media.

In the present study, analytical solutions are developed for three-dimensional advection-dispersion equation (ADE) in semi-infinite adsorbing saturated homogeneous porous medium with time dependent dispersion coefficient. It means porosity of the medium is filled with single fluid(water). Dispersion coefficient is considered proportional to seepage velocity while adsorption coefficient inversel...

Transport in chemically and mechanically heterogeneous porous media IV: large-scale mass equilibrium for solute transport with adsorption

In this article we consider the transport of an adsorbing solute in a two-region model of a chemically and mechanically heterogeneous porous medium when the condition of large-scale mechanical equilibrium is valid. Under these circumstances, a oneequation model can be used to predict the large-scale averaged velocity, but a twoequation model may be required to predict the regional velocities th...