Stochastic-convective transport with nonlinear reactions and mixing: finite streamtube ensemble formulation for multicomponent reaction systems with intra-streamtube dispersion

Journal of Contaminant Hydrology
Timothy R Ginn

Abstract

An effective streamtube ensemble method is developed to upscale convective-dispersive transport with multicomponent nonlinear reactions in steady nonuniform flow. The transport is cast in terms of a finite ensemble of independent discrete streamtubes that approximate convective transport along macroscopically averaged pathlines and dispersive transport longitudinally as microscopic mixing within streamtubes. The representation of fate and transport via a finite ensemble of effective linear streamtubes, allows the treatment of arbitrarily complex reaction systems involving both homogeneous and heterogeneous reactions, and longitudinal dispersive/diffusive mixing within streamtubes. This allows the use of reactive-transport codes designed to solve such problems in an Eulerian framework, as opposed to reliance on closed-form (convolutional or canonical) expressions for reactive transport in exclusively convective streamtubes. The approach requires both reactive-transport solutions for a representative ensemble of one-dimensional convective-dispersive-reactive streamtubes and the distribution of flux over the streamtube ensemble variants, and it does not allow for lateral mixing between streamtubes. Here, the only ensemble variant ...Continue Reading

Citations

Oct 29, 2002·Journal of Contaminant Hydrology·Olaf A Cirpka
Jan 22, 2004·Journal of Contaminant Hydrology·Jérôme CarrayrouPhilippe Behra
Apr 27, 2013·Environmental Science & Technology·Adam L AtchleyAlexis K Navarre-Sitchler
Feb 6, 2016·Journal of Contaminant Hydrology·Alicia Sanz-PratOlaf A Cirpka
Jul 9, 2010·Journal of Contaminant Hydrology·Marco DentzJesus Carrera
Jun 22, 2010·Journal of Contaminant Hydrology·Marco DentzBranko Bijeljic
Feb 14, 2007·Mathematical Biosciences·Timothy R Ginn, Frank J Loge
Jun 16, 2011·Ground Water·Timothy D ScheibeMary F Deflaun
Dec 13, 2005·Journal of Contaminant Hydrology·Jian LuoPeter K Kitanidis
Feb 16, 2006·Journal of Contaminant Hydrology·Uma Seeboonruang, Timothy R Ginn

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