Analytical Solution for Multi-Species Contaminant Transport Subject to Sequential First-Order Decay Reactions in Finite Media |
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Authors: | Jesús S Pérez Guerrero Todd H Skaggs M Th van Genuchten |
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Institution: | (1) UMR 6532 Hydrasa, Université de Poitiers, Bât. Sc. Naturelles, 40 av. Recteur Pineau, 86022 Poitiers Cedex, France;(2) Laboratoire de Géologie Appliquée, UMR 7619 Sisyphe, Université Pierre et Marie Curie, Case 123, Tour 26, 5ème étage, 4 Place Jussieu, 75252 Paris Cedex 05, France |
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Abstract: | Transport equations governing the movement of multiple solutes undergoing sequential first-order decay reactions have relevance
in analyzing a variety of subsurface contaminant transport problems. In this study, a one-dimensional analytical solution
for multi-species transport is obtained for finite porous media and constant boundary conditions. The solution permits different
retardation factors for the various species. The solution procedure involves a classic algebraic substitution that transforms
the advection-dispersion partial differential equation for each species into an equation that is purely diffusive. The new
system of partial differential equations is solved analytically using the Classic Integral Transform Technique (CITT). Results
for a classic test case involving a three-species nitrification chain are shown to agree with previously reported literature
values. Because the new solution was obtained for a finite domain, it should be especially useful for testing numerical solution
procedures. |
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Keywords: | |
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