Two Dimensions Numerical and Mathematical Simulation of the Transport of Hydrocarbons Chlorinated in a Porous Media

Abdelhak Dhiri; Kamal Gueraoui

doi:10.15866/ireme.v8i5.2665

Two Dimensions Numerical and Mathematical Simulation of the Transport of Hydrocarbons Chlorinated in a Porous Media

Abdelhak Dhiri⁽¹⁾, Kamal Gueraoui^(2*)

^(*) Corresponding author

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DOI: https://doi.org/10.15866/ireme.v8i5.2665

Abstract

We establish a two-dimension numerical and mathematical model to describe the transport of hydrocarbons chlorinated in the non saturated zone of a porous media. The equations are expressed in a first time at pores scale. The flows equations are deduced from the Navier-Stokes and the equations of energy are derived from Fourier's law considering the phenomena of convection for steam and water phases. Then, the equations are rewrite on a macroscopic scale using the representative elementary volume. These equations are simplified through the approximation of velocities Darcy's law. The two-dimensional equations are then converted to dimensionless form, which allows for a few supplementary approximations. The obtained equations are solved numerically using the finite volume methods. The obtained results are in perfect concordance to those obtained by other authors.

Keywords

Chlorinated Hydrocarbons; Multiphase Effect; Multi-Component Effect; Porous Media; Unsatured Zone; Finite Volume Method

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