An inverse Gaussian plume approach for estimating atmospheric pollutant emissions from multiple point sources

Lushi, Enkeleida; Stockie, John M.

doi:10.1016/j.atmosenv.2009.11.039

Cited by 82 publications

(74 citation statements)

References 33 publications

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“…We now apply the Gaussian plume solution to a simplified version of an actual emissions scenario studied in [24], where a zinc smelting operation has four major sources that release zinc particles into the atmosphere. The sources have locations X s = (X s , Y s , H s ) and emission rate Q s for s = 1, .…”

Section: Applicationmentioning

confidence: 99%

The Mathematics of Atmospheric Dispersion Modeling

Stockie¹

2011

SIAM Rev.

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290

161

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Abstract. The Gaussian plume model is a standard approach for studying the transport of airborne contaminants due to turbulent diffusion and advection by the wind. This paper reviews the assumptions underlying the model, its derivation from the advection-diffusion equation, and the key properties of the plume solution. The results are then applied to solving an inverse problem in which emission source rates are determined from a given set of groundlevel contaminant measurements. This source identification problem can be formulated as an overdetermined linear system of equations that is most easily solved using the method of least squares. Various generalizations of this problem are discussed, and we illustrate our results with an application to the study of zinc emissions from a smelting operation.

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Section: Applicationmentioning

confidence: 99%

The Mathematics of Atmospheric Dispersion Modeling

Stockie¹

2011

SIAM Rev.

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290

161

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“…The following equation gives the concentration of a gaseous pollutant emitted from a point source (El-Gamal et al, 2013;Enkeleida and John, 2010;Leroy et al, 2010):…”

Section: Point Sources (Ventilation Towers)mentioning

confidence: 99%

Evaluation of Gaussian Plume Model against CFD Simulations through the Estimation of CO and NO Concentrations in an Urban Area

Bady

2017

American Journal of Environmental Sciences

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Dispersion of air pollutants, Carbon monoxide (CO) and Nitrogen oxide (NO), due to three point sources and a high-density traffic road in an urban area located near the center of Tokyo, Japan was studied using two different approaches. The first is an analytical approach using Gaussian Plume Model (GPM) while the second is a numerical approach using Computational Fluid Dynamics (CFD) simulations. In the first approach, the study area was divided into a fine grid and the traffic road was treated as a number of continuous adjacent stacks. The GPM was applied upon each stack and the concentration at each receptor was calculated using the principle of superposition. CFD simulations were carried out where steady state analysis was adopted and the standard k-ε turbulence model was used. The concentrations calculated with the two approaches were compared together. The study results show that the agreement between the concentrations estimated by the two approaches was good in low-density built-up locations within the study area while significant deviation was obtained for high-density locations. Such result reflects the fact that the GPM is poor in predicting the actual concentrations in cases of densely urban areas.

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“…La estimación de los parámetros que caracterizan a las fuentes puntuales con base en datos de la concentración de contaminantes es un problema inverso que aparece en el estudio de la contaminación en el océano, la atmósfera y el agua subterránea (Sharma et al, 2014;Lushi y Stockie, 2010;Skaggs y Kabala, 1994). La solución de este problema es relevante para establecer el grado de responsabilidad entre los potenciales agentes involucrados en la contaminación local y regional, la estimación del impacto ambiental, así como la definición de acciones para proteger a la población asentada en zonas contaminadas.…”

Section: Introductionunclassified

“…En particular, en la última década diferentes técnicas de modelación inversa se han utilizado para estimar la tasa de emisión de las fuentes contaminantes y corregir los inventarios de emisiones (Brioude et al, 2011;Lushi y Stockie, 2010). Sin embargo, el reconocimiento de la inestabilidad, característica inherente en este tipo de problema inverso, aparece ya mencionado en un estudio global sobre fuentes y sumideros de CO2 (Bolin y Keeling, 1963).…”

Section: Introductionunclassified

Recuperación de la Tasa de Emisión de una Fuente Contaminante: Análisis de la Existencia, la Unicidad y la Estabilidad de las Soluciones

Parra‐Guevara¹,

Skiba²

2016

Inf. tecnol.

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ResumenEn este trabajo se analiza la existencia, la unicidad y la estabilidad de las soluciones en el problema de la recuperación de la tasa de emisión de una fuente puntual no-estacionaria a partir de datos de concentración de contaminantes que contienen una perturbación de pequeña amplitud. Se presentan ejemplos numéricos que muestran la inestabilidad en el problema inverso y permiten identificar el tipo de perturbación en los datos que es más significativa para este problema. La ecuación de balance de materia para un contaminante se utiliza para analizar la existencia de soluciones. A través de las funciones adjuntas y el principio de dualidad para la anomalía de la concentración puntual, se prueba que el problema inverso siempre es inestable cuando el modelo de dispersión tiene asociado un modelo adjunto cuya solución es de clase C 1 . Se analiza la existencia y la unicidad de la tasa de emisión para esta formulación del problema inverso. Se concluye que es indispensable introducir una regularización en el problema inverso que filtre los errores de alta frecuencia en los datos y permita obtener una estimación adecuada de la tasa de emisión. Palabras clave: fuente puntual; tasa de emisión; contaminantes; dispersión; problema inverso; inestabilidad Recovery of the Emission Rate of a Pollution Source: Analysis of the Existence, Uniqueness and Stability of Solutions AbstractIn this work the existence, uniqueness and stability of the solutions in the problem of recovery of the emission rate of a non-steady point source from concentration data of pollutants with a perturbation of small amplitude, are analyzed. Numerical examples that demonstrate the instability of the inverse problem and identify the type of perturbation in the data that is most meaningful to this problem are presented. The mass balance equation for a pollutant is used to analyze the existence of solutions. Through the adjoint functions and the duality principle for the anomaly of the punctual concentration, it is shown that the inverse problem is always unstable when the dispersion model has an associated adjoint model whose solution is of class C 1 . The existence and uniqueness of the emission rate for this formulation of the inverse problem is analyzed. It is concluded that it is indispensable to introduce a regularization in the inverse problem to filter high frequency errors in the data and to obtain an adequate estimate of the emission rate.

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An inverse Gaussian plume approach for estimating atmospheric pollutant emissions from multiple point sources

Cited by 82 publications

References 33 publications

The Mathematics of Atmospheric Dispersion Modeling

The Mathematics of Atmospheric Dispersion Modeling

Evaluation of Gaussian Plume Model against CFD Simulations through the Estimation of CO and NO Concentrations in an Urban Area

Recuperación de la Tasa de Emisión de una Fuente Contaminante: Análisis de la Existencia, la Unicidad y la Estabilidad de las Soluciones

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