Modeling of Contaminant Transport Through Porous Media: A Perturbation-Based Finite Element Formulation
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This study implemented a large scale model for contaminant transport problems derived using a stochastic perturbation-based approach to account for spatial variability of soil properties. The heterogeneity of natural soil formations were included in the effective bulk macrodispersion coefficient tensor. The set of stochastic differential equations was solved using a finite element formulation. A computer code was developed to implement the stochastic finite element formulation and a mesh generator was alsodeveloped to create the finite element mesh. Numerical simulations were performed using real data and the results for concentration distribution profiles at different times were compared to analytical and deterministic solutions. The stochastic analysis and the finite element formulation used in this study proved to be very efficient numerical techniques for the solution of this class of problems.
author list (cited authors)
Aguirre, C. G., Haghighi, K., & Mohtar, R.