Numerical Simulation of Pollutant Transport in Fractured Vuggy Porous Karstic Aquifers

This paper begins with presenting a mathematical model for contaminant transport in the fractured vuggy porous media of a species of contaminant (PCP). Two phases are numerically simulated for a process of contaminant and clean water infiltrated in the fractured vuggy porous media by coupling mixed...

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Main Authors: Xiaolin Fan, Shuyu Sun, Wei Wei, Jisheng Kou
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/498098
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spelling doaj-f304c308755348db99748eda6df530582020-11-24T21:40:02ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/498098498098Numerical Simulation of Pollutant Transport in Fractured Vuggy Porous Karstic AquifersXiaolin Fan0Shuyu Sun1Wei Wei2Jisheng Kou3Department of Mathematics, College of Science, Guizhou University, Huaxi, Guiyang 550025, ChinaComputational Transport Phenomena Laboratory (CPTL), Division of Physical Sciences and Engineering (PSE), King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi ArabiaDepartment of Mathematics, College of Science, Guizhou University, Huaxi, Guiyang 550025, ChinaComputational Transport Phenomena Laboratory (CPTL), Division of Physical Sciences and Engineering (PSE), King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi ArabiaThis paper begins with presenting a mathematical model for contaminant transport in the fractured vuggy porous media of a species of contaminant (PCP). Two phases are numerically simulated for a process of contaminant and clean water infiltrated in the fractured vuggy porous media by coupling mixed finite element (MFE) method and finite volume method (FVM), both of which are locally conservative, to approximate the model. A hybrid mixed finite element (HMFE) method is applied to approximate the velocity field for the model. The convection and diffusion terms are approached by FVM and the standard MFE, respectively. The pressure distribution and temporary evolution of the concentration profiles are obtained for two phases. The average effluent concentration on the outflow boundary is obtained at different time and shows some different features from the matrix porous media. The temporal multiscale phenomena of the effluent concentration on the outlet are observed. The results show how the different distribution of the vugs and the fractures impacts on the contaminant transport and the effluent concentration on the outlet. This paper sheds light on certain features of karstic groundwater are obtained.http://dx.doi.org/10.1155/2011/498098
collection DOAJ
language English
format Article
sources DOAJ
author Xiaolin Fan
Shuyu Sun
Wei Wei
Jisheng Kou
spellingShingle Xiaolin Fan
Shuyu Sun
Wei Wei
Jisheng Kou
Numerical Simulation of Pollutant Transport in Fractured Vuggy Porous Karstic Aquifers
Journal of Applied Mathematics
author_facet Xiaolin Fan
Shuyu Sun
Wei Wei
Jisheng Kou
author_sort Xiaolin Fan
title Numerical Simulation of Pollutant Transport in Fractured Vuggy Porous Karstic Aquifers
title_short Numerical Simulation of Pollutant Transport in Fractured Vuggy Porous Karstic Aquifers
title_full Numerical Simulation of Pollutant Transport in Fractured Vuggy Porous Karstic Aquifers
title_fullStr Numerical Simulation of Pollutant Transport in Fractured Vuggy Porous Karstic Aquifers
title_full_unstemmed Numerical Simulation of Pollutant Transport in Fractured Vuggy Porous Karstic Aquifers
title_sort numerical simulation of pollutant transport in fractured vuggy porous karstic aquifers
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2011-01-01
description This paper begins with presenting a mathematical model for contaminant transport in the fractured vuggy porous media of a species of contaminant (PCP). Two phases are numerically simulated for a process of contaminant and clean water infiltrated in the fractured vuggy porous media by coupling mixed finite element (MFE) method and finite volume method (FVM), both of which are locally conservative, to approximate the model. A hybrid mixed finite element (HMFE) method is applied to approximate the velocity field for the model. The convection and diffusion terms are approached by FVM and the standard MFE, respectively. The pressure distribution and temporary evolution of the concentration profiles are obtained for two phases. The average effluent concentration on the outflow boundary is obtained at different time and shows some different features from the matrix porous media. The temporal multiscale phenomena of the effluent concentration on the outlet are observed. The results show how the different distribution of the vugs and the fractures impacts on the contaminant transport and the effluent concentration on the outlet. This paper sheds light on certain features of karstic groundwater are obtained.
url http://dx.doi.org/10.1155/2011/498098
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AT shuyusun numericalsimulationofpollutanttransportinfracturedvuggyporouskarsticaquifers
AT weiwei numericalsimulationofpollutanttransportinfracturedvuggyporouskarsticaquifers
AT jishengkou numericalsimulationofpollutanttransportinfracturedvuggyporouskarsticaquifers
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