MATHEMATICAL MODELING OF THE UNDERGROUND HYDROSPHERE POLLUTION PROCESS
Keywords:
Subsurface hydrosphere, tailings storage facility, Richards equation, Darcy's law, Brooks-Corey model, advective-dispersive transport, hydrodynamic dispersion tensor, linear sorption, COMSOL MultiphysicsAbstract
This article examines a two-dimensional, non-stationary problem involving coupled hydrodynamic and convective-diffusion modeling. The authors investigate the filtration of contaminated solutions from a surface reservoir (tailings impoundment) through an unsaturated, two-layer porous medium to an aquifer. The mathematical description of the hydrodynamics is based on the nonlinear Richards equation, incorporating the Brooks-Corey model to describe relative phase permeability. Contaminant transport is modeled using an advection-dispersion equation that takes into account linear sorption (desorption) by the soil skeleton and two-phase decay kinetics. The problem is solved using the finite element method (FEM) on a mesh of 4106 triangular elements.
References
1. Методы охраны подземных вод от загрязнения и истощения/ Под ред. И.К. Гавич. –М.: Недра, 1985. – 320 с.
2. Лукнер Л., Шестаков М.М. Моделирование геофильтрации. – М.: Недра, 1975. – 320 с.
3. Brooks R.H. and Corey A.T. “Proprieties of porous media affecting fluid flow”. J.Irrig. Drainage., ASCE. Proc.72(IR2), pp. 61-88, 1966.
4. Pryor, Roger W., Multiphysics Modeling Using COMSOL: A First Principles Approach, Jones and Bartlett Publishers, ISBN: 0763779997, 2009