A mathematical model of the nitrogen cycle in a constructed wetland

A model was developed using contemporary wetland theory to predict the fate of nitrogen runoff in a constructed wetland. The model utilizes nitrogen concentrations of influent water as system inputs. The model is three-dimensional, one dimensional in time, and two dimensional in space. The physical...

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Main Author: Widener, Andrew Scott
Other Authors: Agricultural Engineering
Format: Others
Language:en
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/46277
http://scholar.lib.vt.edu/theses/available/etd-12172008-063133/
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spelling ndltd-VTETD-oai-vtechworks.lib.vt.edu-10919-462772021-05-26T05:48:42Z A mathematical model of the nitrogen cycle in a constructed wetland Widener, Andrew Scott Agricultural Engineering NPS pollution numerical solution LD5655.V855 1995.W534 A model was developed using contemporary wetland theory to predict the fate of nitrogen runoff in a constructed wetland. The model utilizes nitrogen concentrations of influent water as system inputs. The model is three-dimensional, one dimensional in time, and two dimensional in space. The physical domain of the model incorporates a flat emergent marsh and deep pool and includes the water body and underlying sediment. Solutions for concentration of sediment-bound organic nitrogen are obtained for the water body and the sediment-water interface, while solutions for concentration of ammonium and nitrate are obtained for the entire physical domain. Physical conditions are considered along the system boundaries, and a jump condition is modeled for nutrient diffusion through the sediment-water interface. A hyperbolic advection-settling equation models the transport and deposition of sediment-bound organic nitrogen; mineralization of deposited nitrogen is modeled. A parabolic advection-diffusion equation is used to model the movement of dissolved ammonium and nitrate through the wetland water body; the equation is modified for both ammonium and nitrate to model diffusion and transformation in the sediment layer. Spatial variation of sediment layer aerobic and anaerobic regions is considered, as are temperature and pH effects on transformation rates. Numerical solutions are obtained using divided differences. Constructed wetlands for use in NPS pollution control are a new concept; there is no data currently available to use for model validation. The model was shown to be consistent with qualitative theoretical considerations, based on simulations of different scenarios. Master of Science 2014-03-14T21:51:51Z 2014-03-14T21:51:51Z 1995 2008-12-17 2008-12-17 2008-12-17 Thesis Text etd-12172008-063133 http://hdl.handle.net/10919/46277 http://scholar.lib.vt.edu/theses/available/etd-12172008-063133/ en OCLC# 34313395 LD5655.V855_1995.W534.pdf ix, 145 leaves BTD application/pdf application/pdf Virginia Tech
collection NDLTD
language en
format Others
sources NDLTD
topic NPS pollution
numerical solution
LD5655.V855 1995.W534
spellingShingle NPS pollution
numerical solution
LD5655.V855 1995.W534
Widener, Andrew Scott
A mathematical model of the nitrogen cycle in a constructed wetland
description A model was developed using contemporary wetland theory to predict the fate of nitrogen runoff in a constructed wetland. The model utilizes nitrogen concentrations of influent water as system inputs. The model is three-dimensional, one dimensional in time, and two dimensional in space. The physical domain of the model incorporates a flat emergent marsh and deep pool and includes the water body and underlying sediment. Solutions for concentration of sediment-bound organic nitrogen are obtained for the water body and the sediment-water interface, while solutions for concentration of ammonium and nitrate are obtained for the entire physical domain. Physical conditions are considered along the system boundaries, and a jump condition is modeled for nutrient diffusion through the sediment-water interface. A hyperbolic advection-settling equation models the transport and deposition of sediment-bound organic nitrogen; mineralization of deposited nitrogen is modeled. A parabolic advection-diffusion equation is used to model the movement of dissolved ammonium and nitrate through the wetland water body; the equation is modified for both ammonium and nitrate to model diffusion and transformation in the sediment layer. Spatial variation of sediment layer aerobic and anaerobic regions is considered, as are temperature and pH effects on transformation rates. Numerical solutions are obtained using divided differences. Constructed wetlands for use in NPS pollution control are a new concept; there is no data currently available to use for model validation. The model was shown to be consistent with qualitative theoretical considerations, based on simulations of different scenarios. === Master of Science
author2 Agricultural Engineering
author_facet Agricultural Engineering
Widener, Andrew Scott
author Widener, Andrew Scott
author_sort Widener, Andrew Scott
title A mathematical model of the nitrogen cycle in a constructed wetland
title_short A mathematical model of the nitrogen cycle in a constructed wetland
title_full A mathematical model of the nitrogen cycle in a constructed wetland
title_fullStr A mathematical model of the nitrogen cycle in a constructed wetland
title_full_unstemmed A mathematical model of the nitrogen cycle in a constructed wetland
title_sort mathematical model of the nitrogen cycle in a constructed wetland
publisher Virginia Tech
publishDate 2014
url http://hdl.handle.net/10919/46277
http://scholar.lib.vt.edu/theses/available/etd-12172008-063133/
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