Numerical modelling of solute flow dispersion in porous media using simulator MUFITS

Abstract

An extension of the MUFITS reservoir simulator for modelling solute transport in a porous medium is presented. The new option concerns modelling of the longitudinal and transverse mechanical dispersion of the solute flow. The numerical dispersion coefficients for the solute transport are derived. The sufficient condition for the time step and the grid resolution that ensure accurate modelling of mixing in porous media is presented. Two benchmark problems which allow exact analytical solution are described and are used for validation of the developed simulation option. The solute distributions calculated with MUFITS are in a good agreement with the exact solutions.