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

Travelling Waves in the Transport of Reactive Solutes through Porous Media: Adsorption and Binary Ion Exchange { Part 2 (extended Version)

We study travelling wave solutions for the model developed in part 1 of the paper. We develop and discuss a condition, characterizing their existence. The possibility of niteness is investigated. We consider the convergence to various limit cases and point out their diierent qualitative behaviour. Finally a numerical method is indicated.

An Analysis of Crystal Dissolution Fronts in Ows through Porous Media Part 1: Compatible Boundary Conditions

We propose a model for transport of solutes in a porous medium participating in a dissolu-tion/precipitation reaction, in general not in equilibrium. For an unbounded spatial domain, travelling wave solutions exist, if and only if the charge distribution is constant and we deal with a dissolution situation. The travelling wave in fact exhibits a sharp dissolution front. The wave is given in a n...

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

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...

Lattice Gas Automata Simulation of Adsorption Process of Polymer in Porous Media

Lattice gas automata (LGA) model is developed to simulate polymer adsorption process by adding some collision rules. The simulation result of the model is matched with batch experiment and compared with accepted isothermal adsorption equations. They show that the model is viable to perform simulation of the polymer adsorption process. The LGA model is then applied for simulating continuous poly...