Study of 2D contaminant transport with depth varying input source in a groundwater reservoir

This study deals with a two-dimensional (2D) contaminant transport problem subject to depth varying input source in a finite homogeneous groundwater reservoir. A depth varying input source at the upstream boundary is assumed as the location of disposal site of the pollutant from where the contaminan...

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Autores principales:	Mritunjay Kumar Singh, Sohini Rajput, Rakesh Kumar Singh
Formato:	article
Lenguaje:	EN
Publicado:	IWA Publishing 2021
Materias:	advection contaminant transport dispersion porous media sorption isotherm Water supply for domestic and industrial purposes TD201-500 River, lake, and water-supply engineering (General) TC401-506
Acceso en línea:	https://doaj.org/article/aa66314a4fbf4307809793c1b6d04081
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spelling	oai:doaj.org-article:aa66314a4fbf4307809793c1b6d040812021-11-06T07:14:56ZStudy of 2D contaminant transport with depth varying input source in a groundwater reservoir1606-97491607-079810.2166/ws.2021.010https://doaj.org/article/aa66314a4fbf4307809793c1b6d040812021-06-01T00:00:00Zhttp://ws.iwaponline.com/content/21/4/1464https://doaj.org/toc/1606-9749https://doaj.org/toc/1607-0798This study deals with a two-dimensional (2D) contaminant transport problem subject to depth varying input source in a finite homogeneous groundwater reservoir. A depth varying input source at the upstream boundary is assumed as the location of disposal site of the pollutant from where the contaminant enters the soil medium and ultimately to the groundwater reservoir. At the extreme boundary of the flow site, the concentration gradient of the contaminant is assumed to be zero. Contaminant dispersion is considered along the horizontal and vertical directions of the groundwater flow. The governing transport equation is the advection–dispersion equation (ADE) associated with linear sorption and first-order biological degradation. The ADE is solved analytically by adopting Laplace transform method. Crank–Nicolson scheme is also adopted for the numerical simulation of the modelled problem. In the graphical comparison of the analytical and numerical solutions, the numerical solution follows very closely with the analytical solution. Also, Root Mean Square (RMS) error and CPU run time are obtained to account for the performance of the numerical solution. HIGHLIGHTS Two-dimensional contaminant transport is discussed in a finite homogeneous porous medium.; Exponentially decaying depth-dependent source is assumed at the upstream of the domain.; The governing equation is solved analytically and numerically.; The RMS error is observed very less.; Verified the input data used in the present study from the existing literature.;Mritunjay Kumar SinghSohini RajputRakesh Kumar SinghIWA Publishingarticleadvectioncontaminant transportdispersionporous mediasorption isothermWater supply for domestic and industrial purposesTD201-500River, lake, and water-supply engineering (General)TC401-506ENWater Supply, Vol 21, Iss 4, Pp 1464-1480 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	advection contaminant transport dispersion porous media sorption isotherm Water supply for domestic and industrial purposes TD201-500 River, lake, and water-supply engineering (General) TC401-506
spellingShingle	advection contaminant transport dispersion porous media sorption isotherm Water supply for domestic and industrial purposes TD201-500 River, lake, and water-supply engineering (General) TC401-506 Mritunjay Kumar Singh Sohini Rajput Rakesh Kumar Singh Study of 2D contaminant transport with depth varying input source in a groundwater reservoir
description	This study deals with a two-dimensional (2D) contaminant transport problem subject to depth varying input source in a finite homogeneous groundwater reservoir. A depth varying input source at the upstream boundary is assumed as the location of disposal site of the pollutant from where the contaminant enters the soil medium and ultimately to the groundwater reservoir. At the extreme boundary of the flow site, the concentration gradient of the contaminant is assumed to be zero. Contaminant dispersion is considered along the horizontal and vertical directions of the groundwater flow. The governing transport equation is the advection–dispersion equation (ADE) associated with linear sorption and first-order biological degradation. The ADE is solved analytically by adopting Laplace transform method. Crank–Nicolson scheme is also adopted for the numerical simulation of the modelled problem. In the graphical comparison of the analytical and numerical solutions, the numerical solution follows very closely with the analytical solution. Also, Root Mean Square (RMS) error and CPU run time are obtained to account for the performance of the numerical solution. HIGHLIGHTS Two-dimensional contaminant transport is discussed in a finite homogeneous porous medium.; Exponentially decaying depth-dependent source is assumed at the upstream of the domain.; The governing equation is solved analytically and numerically.; The RMS error is observed very less.; Verified the input data used in the present study from the existing literature.;
format	article
author	Mritunjay Kumar Singh Sohini Rajput Rakesh Kumar Singh
author_facet	Mritunjay Kumar Singh Sohini Rajput Rakesh Kumar Singh
author_sort	Mritunjay Kumar Singh
title	Study of 2D contaminant transport with depth varying input source in a groundwater reservoir
title_short	Study of 2D contaminant transport with depth varying input source in a groundwater reservoir
title_full	Study of 2D contaminant transport with depth varying input source in a groundwater reservoir
title_fullStr	Study of 2D contaminant transport with depth varying input source in a groundwater reservoir
title_full_unstemmed	Study of 2D contaminant transport with depth varying input source in a groundwater reservoir
title_sort	study of 2d contaminant transport with depth varying input source in a groundwater reservoir
publisher	IWA Publishing
publishDate	2021
url	https://doaj.org/article/aa66314a4fbf4307809793c1b6d04081
work_keys_str_mv	AT mritunjaykumarsingh studyof2dcontaminanttransportwithdepthvaryinginputsourceinagroundwaterreservoir AT sohinirajput studyof2dcontaminanttransportwithdepthvaryinginputsourceinagroundwaterreservoir AT rakeshkumarsingh studyof2dcontaminanttransportwithdepthvaryinginputsourceinagroundwaterreservoir
_version_	1718443815484784640

Study of 2D contaminant transport with depth varying input source in a groundwater reservoir

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