NDLI: Review of the use of Péclet numbers to determine the relative importance of advection and diffusion in low permeability environments

Please wait, while we are loading the content...

A new technique to estimate net groundwater use across large irrigated areas by combining remote sensing and water balance approaches, Rechna Doab, Pakistan

Validation of an intrinsic groundwater pollution vulnerability methodology using a national nitrate database

Study of cavernous underground conduits in Nam La (Northwest Vietnam) by an integrative approach

3D geologic framework models for regional hydrogeology and land-use management: a case study from a Quaternary basin of southwestern Quebec, Canada

A conceptual hydrogeological model of ophiolite hard-rock aquifers in Oman based on a multiscale and a multidisciplinary approach

Arsenic in groundwater of the Bengal Basin, Bangladesh: Distribution, field relations, and hydrogeological setting

Hydrogeochemistry of the Goulburn Valley region of the Murray Basin, Australia: implications for flow paths and resource vulnerability

Distinguishing groundwater flow paths in different fractured-rock aquifers using groundwater chemistry: Dandenong Ranges, southeast Australia

Characterising the main karst aquifers of the Alvand basin, northwest of Zagros, Iran, by a hydrogeochemical approach

Groundwater behaviour in Madeira, volcanic island (Portugal)

Understanding and managing the stressed Mexico-USA transboundary Hueco bolson aquifer in the El Paso del Norte region as a complex system

An integration of GIS and remote sensing in groundwater investigations: A case study in Burdur, Turkey

Numerical simulation of groundwater flow in regional rock aquifers, southwestern Quebec, Canada

Estimation of transport hydraulic parameters in loessic sediment, Argentina: Application of column tests

Propagation of pressure change through thick clay sequences: an example from Liverpool Plains, NSW, Australia

Analysis of base flow trends in urban streams, northeastern Illinois, USA

A simple solution to tunnel or well discharge under constant drawdown

Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation

Review of the use of Péclet numbers to determine the relative importance of advection and diffusion in low permeability environments

Using quantitative indicators to evaluate results from variable-density groundwater flow models

Hydrogeology Journal : Volume 13, Issue 4, August 2005

Hydrogeology Journal : Volume 13, Issue 3, June 2005

Hydrogeology Journal : Volume 13, Issue 2, May 2005

Hydrogeology Journal : Volume 13, Issue 1, March 2005

Hydrogeology Journal : Volume 12

Hydrogeology Journal : Volume 11

Hydrogeology Journal : Volume 10

Hydrogeology Journal : Volume 9

Hydrogeology Journal : Volume 8

Hydrogeology Journal : Volume 7

Hydrogeology Journal : Volume 6

Hydrogeology Journal : Volume 5

Review of the use of Péclet numbers to determine the relative importance of advection and diffusion in low permeability environments

Content Provider	Springer Nature Link
Author	Huysmans, Marijke Dassargues, Alain
Copyright Year	2004
Abstract	In low permeability environments, transport by advection is often neglected based on a Péclet number criterion. Such a criterion usually states that if the Péclet number (Pe) is much smaller than 1, diffusion dominates over advection and transport may be modeled considering diffusion only. Unfortunately, up to 10 different Péclet number definitions exist and for a particular case these different definitions lead to very diverse Péclet number values, differing several orders of magnitude from each other. In this paper, the different Péclet number definitions are therefore evaluated on their ability to determine the relative importance of transport by advection and by diffusion in low permeability environments. This is done by comparing the results of the analytical solution for pure diffusion with the analytical solution for diffusion, advection and dispersion for a large number of different input parameter values. The relation between the different Péclet numbers and the difference between the calculated concentration considering diffusion only and the calculated concentration considering both diffusion and advection is studied. These calculations show that some Péclet number definitions are not well suited to decide whether advection may be neglected in low permeability media.Dans les milieux à faible perméabilité, le transport par advection est souvent négligeable lorsqu’on se base sur le critère du nombre de Péclet. Un tel critère suggère habituellement que pour un nombre de Péclet beaucoup plus petit que 1, la diffusion domine sur l’advection et que le transport peut être modélisé par diffusion seulement. Malheureusement, il existe jusqu’à environ dix définitions du nombre de Péclet et pour un cas spécifique, ces différentes définitions mènent à des valeurs du nombre de Péclet très différentes, et qui varient entre elles de plusieurs ordres de grandeur. Dans cet article, les différentes définitions du nombre de Péclet sont évaluées en fonction de leur habileté à déterminer l’importance relative du transport par advection et par diffusion dans les milieux à faible perméabilité. Ceci est fait en comparant les résultats de la solution analytique pour la diffusion pure à la solution analytique pour la diffusion, l’advection et la dispersion, et ce, pour un grand nombre de valeurs différentes comme paramètre d’entrée. La relation entre les différents nombres de Péclet et la différence entre la concentration calculée en considérant la diffusion seulement et la concentration calculée considérant simultanément la diffusion et l’advection est étudiée. Ces calculs prouvent que certaines définitions de nombre de Péclet ne sont pas appropriées afin de décider si l’advection peut être négligée dans les milieux à faible perméabilité.Frecuentemente se descuida el transporte por avección en ambientes de baja permeabilidad sobre la base del criterio del número de Péclet. Dicho criterio usualmente sostiene que si el número de Péclet (Pe) es mucho menor a 1, la difusión domina sobre la avección y es posible modelar el transporte considerando la difusión únicamente. Desafortunadamente existen 10 definiciones diferentes del número de Péclet y para un caso en particular estas diferentes definiciones conducen a valores de número de Péclet muy diversos los cuales difieren entre sí en varias magnitudes. Por lo tanto, en este artículo se evalúan las diferentes definiciones en base a su habilidad para determinar la importancia relativa del transporte por avección y difusión en ambientes de baja permeabilidad. Esto se lleva a cabo mediante la comparación de los resultados de la solución analítica para difusión pura con los de la solución analítica por difusión, avección y dispersión para un número amplio de diferentes valores como parámetro. Se ha estudiado la relación entre los diferentes números de Péclet y las diferencias entre la concentración calculada considerando difusión únicamente y considerando tanto difusión como avección. Estos cálculos muestran que algunas de las definiciones de los números de Péclet no son muy apropiadas par decidir si se puede descuidar la avección en medios de baja permeabilidad.
Starting Page	895
Ending Page	904
Page Count	10
File Format	PDF
ISSN	14312174
Journal	Hydrogeology Journal
Volume Number	13
Issue Number	5-6
e-ISSN	14350157
Language	English
Publisher	Springer-Verlag
Publisher Date	2004-10-20
Publisher Institution	International Association of Hydrogeologists
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Solute transport Analytical solutions Low permeability units Diffusion
Content Type	Text
Resource Type	Article
Subject	Earth and Planetary Sciences Water Science and Technology

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Review of the use of Péclet numbers to determine the relative importance of advection and diffusion in low permeability environments

Solute transport in a single fracture with negligible matrix permeability: 2. mathematical formalism

Solute transport in a single fracture with negligible matrix permeability: 1. fundamental mechanisms

Investigative approaches to determine exchange processes in the hyporheic zone of a low permeability riverbank

A fast flux tube-based method for solute-transport simulation

Analytical solutions of tracer transport in fractured rock associated with precipitation-dissolution reactions

Analytical solutions of nonlinear and variable-parameter transport equations for verification of numerical solvers

Functional test of pedotransfer functions to predict water flow and solute transport with the dual-permeability model MACRO

Stochastic analysis of the effect of spatial variability of diffusion parameters on radionuclide transport in a low permeability clay layer

Review of the use of Péclet numbers to determine the relative importance of advection and diffusion in low permeability environments

Similar Documents

Review of the use of Péclet numbers to determine the relative importance of advection and diffusion in low permeability environments

Solute transport in a single fracture with negligible matrix permeability: 2. mathematical formalism

Solute transport in a single fracture with negligible matrix permeability: 1. fundamental mechanisms

Investigative approaches to determine exchange processes in the hyporheic zone of a low permeability riverbank

A fast flux tube-based method for solute-transport simulation

Analytical solutions of tracer transport in fractured rock associated with precipitation-dissolution reactions

Analytical solutions of nonlinear and variable-parameter transport equations for verification of numerical solvers

Functional test of pedotransfer functions to predict water flow and solute transport with the dual-permeability model MACRO

Stochastic analysis of the effect of spatial variability of diffusion parameters on radionuclide transport in a low permeability clay layer

Review of the use of Péclet numbers to determine the relative importance of advection and diffusion in low permeability environments