An analytical model for multidimensional transport of a decaying contaminant species

Domenico, P. A.

doi:10.1016/0022-1694(87)90127-2

Cited by 279 publications

(259 citation statements)

References 3 publications

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“…For example, Wilson and Miller [1978] and Hunt [1978] developed analytical solutions of twodimensional single-species transport, in which the single component may disappear according to first-order reaction kinetics. The three-dimensional, single-species problem was solved by Domenico [1987], who also assumed that the transported species could react according to irreversible, first-order kinetics.…”

Section: Introductionmentioning

confidence: 99%

Development of analytical solutions for multispecies transport with serial and parallel reactions

Sun¹,

Petersen²,

Clement³

et al. 1999

Water Resources Research

113

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Abstract. A direct method for transforming multiple solute transport equations, coupled by linear, series, and/or parallel first-order, irreversible reactions, into a series of simple transport equations having known solutions is developed. Using this method, previously published analytical solutions to single-species transport problems, in which the transported species reacts with first-order kinetics, can be used to derive analytical solutions to multispecies transport systems with parallel, serial, and combined reaction networks. This new method overcomes many of the limitations that were implicit in previously published methods. In particular, the number of species that can be described is unlimited, and the reaction stoichiometry does not have to be unimolar. To illustrate the method, an analytical solution is derived for a five-species serial-parallel reactive transport system. The analytical solution obtained for this problem is compared with a numerical solution obtained with a previously developed code. This analytical method is applicable to the verification of new numerical codes. IntroductionTo test and verify numerical descriptions of reactive transport in porous media, a variety of analytical solutions must be developed. However, the number of available analytical solutions, and the particular problems described by these solutions, is limited because of difficulties in solving such problems. All the above solutions are based on the unimolar assumption; that is, the stoichiometry of the reaction is such that 1 mol of product is produced from the reaction of 1 mol of reactant. However, this assumption is limiting if the species react according to serial-parallel reaction networks. In such instances a parent species may react to produce more than one daughter. Further, for such reactions the stoichiometric yields may be less than or more than unity.

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Section: Introductionmentioning

confidence: 99%

Development of analytical solutions for multispecies transport with serial and parallel reactions

Sun¹,

Petersen²,

Clement³

et al. 1999

Water Resources Research

113

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“…The model uses a two-dimensional analytical transport function for dissolved contaminant released along a line source in a uniform aquifer and flow field (Domenico, 1987). MEMO simulated contaminant releases at each of 9597 potential source nodes, spaced 1.5 m apart and distributed uniformly throughout the footprint of the landfill.…”

Section: Methodsmentioning

confidence: 99%

Groundwater monitoring strategies for variable contaminant migration boundaries

Hudak

2006

Hydrological Sciences Journal

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Detection efficiencies of alternative groundwater monitoring networks were evaluated in relation to distance to a buffer zone (contaminant migration) boundary. This boundary establishes a distance limit within which contaminant plumes should pass through monitoring wells, located on curvilinear segments (monitoring loci) near a waste storage facility. Alternative strategies allocated monitoring wells to loci at specified distances, measured parallel to groundwater flow, from the downgradient boundaries of a landfill. One approach constrained wells to equal spacing, measured perpendicular to groundwater flow. Compressing well locations 10% closer to the downgradient corner of the landfill rendered alternative monitoring configurations. Computations by a monitoring efficiency model indicated: (a) networks largely maintained detection efficiency for different contaminant migration boundaries; (b) one network most efficiently attained a target detection capability for all contaminant migration boundaries; and (c) compressed networks slightly outperformed equal-spaced counterparts. Compressed networks with more wells along closer monitoring loci best maintained the detection efficiency when shifting the contaminant migration boundary closer to the landfill. Procedures described in this paper may be useful for examining trade-offs between monitoring efficiency and distance limits of contaminant travel at landfills posing potential hazards to underlying groundwater.Key words contaminant migration; groundwater monitoring; landfill; monitoring network Stratégies de suivi hydrogéologique selon la variabilité de la limite de migration d'un contaminant Résumé L'efficacité, du point de vue de la détection de la migration d'un contaminant, de réseaux alternatifs de suivi hydrogéologique a été évaluée par rapport à la distance à la limite d'une zone tampon. Cette limite établit une distance limite en deçà de laquelle les panaches de contamination devraient passer à travers les puits d'observation, situés sur des segments curvilinéaires (transects courbes de suivi) à proximité d'un site de stockage de déchets. Des stratégies alternatives ont affecté des puits d'observation sur des transects caractérisés par leur distance, mesurée parallèlement à l'écoulement souterrain, à partir des limites aval d'un site d'enfouissement. Une approche a imposé un espacement régulier des puits, mesuré perpendiculairement à l'écoulement souterrain. La densification des puits, plus proches de 10%, à proximité de l'angle aval du site d'enfouissement, a produit des configurations de suivi alternatives. Les calculs d'un modèle d'efficacité du suivi ont indiqué que: (a) les réseaux conservent largement leur efficacité de détection pour différentes limites de migration du contaminant; (b) un des réseaux est plus efficace pour atteindre une capacité de détection cible, quelle que soit la limite de migration du contaminant; et (c) les réseaux densifiés donnent un résultat légèrement meilleur que leurs équivalents à espacement régulier. Les résea...

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“…The model assumes steady, uniform, horizontal flow, solute released along a (temporally) continuous line source in a uniform aquifer, and a constant source concentration (as opposed to simulating mass inputs over time) [Domenico and Robbins, 1985;Domenico, 1987]. Additionally, the model assumes a negligible volume of leachate relative to groundwater flow, and the leachate completely mixes over the thickness of the aquifer beneath the plume source.…”

Section: Methodsmentioning

confidence: 99%

Sensitivity of groundwater monitoring networks to contaminant source width for various seepage velocities

Hudak

2005

Water Resources Research

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[1] This study evaluated the effect of contaminant source width on the detection efficiency of five, six, and seven well monitoring networks for a range of groundwater seepage velocities. Wells were positioned downgradient of a rectangular landfill oriented obliquely to groundwater flow. A buffer zone boundary, establishing a distance limit within which contaminant plumes should be detected, was located 100 m from the landfill's downgradient corner. Various combinations of seepage velocity, from 0.01 to 10.0 m/d, and contaminant source width, from 0.1 to 5.0 m, were input to a computer model, which computed the detection capability of alternative monitoring networks. Smaller networks were more sensitive to changes in contaminant source width and seepage velocity. The smallest network showed a 21.6% greater range in detection efficiency than the largest network over the range of input values. Each network was considerably more sensitive to contaminant source width than seepage velocity, suggesting uncertainty in contaminant source width warrants attention in field applications. The type of analysis illustrated in this study may be useful for identifying appropriate monitoring networks given uncertainty in contaminant source width and seepage velocity at field settings.

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An analytical model for multidimensional transport of a decaying contaminant species

Cited by 279 publications

References 3 publications

Development of analytical solutions for multispecies transport with serial and parallel reactions

Development of analytical solutions for multispecies transport with serial and parallel reactions

Groundwater monitoring strategies for variable contaminant migration boundaries

Sensitivity of groundwater monitoring networks to contaminant source width for various seepage velocities

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