1977
DOI: 10.1029/wr013i001p00183
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Convective‐dispersive solute transport with a combined equilibrium and kinetic adsorption model

Abstract: A given chemical may react at different rates with various soil constituents and be involved in several kinds of reactions. A combination of equilibrium and kinetic adsorption models is hypothesized to describe the nature of the overall reaction. An analytical solution to the one-dimensional convectivedispersive transport equation with a combination linear Freundlich isotherm and first-order reversible kinetic adsorption model is developed. The individual and combined effects of the model parameters on the bre… Show more

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Cited by 346 publications
(167 citation statements)
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“…The three-dimensional simulation approach was employed for the simulation of NOM transport, with a chemical sorption model previously used to describe NOM transport [Jardine et al, 1992;Mas-Pla, 1993] included in the numerical model. The amount of NOM adsorbed to the aquifer was modeled by a two-site sorption: Type 1 sites are assumed to be instantaneous and reversible, while type 2 sites follow reversible first-order kinetics with respect to the adsorbed solute mass [Cameron and Klute, 1977]. The velocity field and boundary and initial conditions were identical to that of the simulation for chloride during August-September 1992 (see Mas-Pla [1993] for details), except that the NOM injection concentration (Figure 3) was used at the injection well.…”
Section: Resultsmentioning
confidence: 99%
“…The three-dimensional simulation approach was employed for the simulation of NOM transport, with a chemical sorption model previously used to describe NOM transport [Jardine et al, 1992;Mas-Pla, 1993] included in the numerical model. The amount of NOM adsorbed to the aquifer was modeled by a two-site sorption: Type 1 sites are assumed to be instantaneous and reversible, while type 2 sites follow reversible first-order kinetics with respect to the adsorbed solute mass [Cameron and Klute, 1977]. The velocity field and boundary and initial conditions were identical to that of the simulation for chloride during August-September 1992 (see Mas-Pla [1993] for details), except that the NOM injection concentration (Figure 3) was used at the injection well.…”
Section: Resultsmentioning
confidence: 99%
“…Equações que consideram o não-equilíbrio de sorção, fundamentadas na forma de um modelo bicontínuo de algum tipo, representadas por processos químicos (sorção em dois diferentes tipos de sítio de sorção, um em equilíbrio direto com a solução -sorção instantânea; e outro em não-equilíbrio -sorção dependente do tempo) ou físicos (a matriz do solo consistindo de uma região onde a água se move e outra onde não há o movimento da água, mas há o movimento do soluto) têm sido usados com sucesso para prever o transporte de solutos que reagem com a matriz (Cameron & Klute, 1977;van Genuchten et al, 1977;Kookana et al, 1993;Guo & Wagenet, 1999). Ambos os modelos, baseados nos processos químicos e físicos de não-equilíbrio de sorção, podem ser descritos numa mesma equação matemática (Nkedi-Kizza et al, 1984).…”
Section: Introductionunclassified
“…Nesse caso, os sorventes são assumidos como tendo dois tipos de sítios de sorção. Um onde a sorção é instantânea e outro onde a sorção apresenta taxa limitada (Cameron & Klute, 1977). Este segundo, teoricamente, representa a difusão lenta do soluto para o interior das substâncias húmicas e/ou dos microagregados argilo-húmicos do solo.…”
Section: Introductionunclassified
“…This method can be used for determining the spatial moments of solute concentration in homogeneous columns. In practical applications other simplified models such as one-site models (Bahr and Rubin, 1987;Lapidus and Amundson, 1952;Oddson et al, 1970;Rao et al, 1980), two-site models (Cameron and Klute, 1977;Selim et al, 1976, andNkedi-Kizza et al, 1984) or multiple-rate models (Haggerty and Gorelick, 1995) are used. Rao et al (1980) also showed the failure of one-site models manifested as an apparent time dependence of the exchange rate coefficient.…”
Section: Introductionmentioning
confidence: 99%