Reactive solute transport in macroscopically homogeneous porous media: Analytical solutions for the temporal moments

Rajesh Srivastava; Pramod K. Sharma; Mark L. Brusseau

doi:10.1016/S0169-7722(03)00155-4

Reactive solute transport in macroscopically homogeneous porous media: Analytical solutions for the temporal moments

Rajesh Srivastava, Pramod K. Sharma, Mark L. Brusseau

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

In this work, we investigate one-dimensional solute transport affected by rate-limited sorption, first-order mass transfer, and first-order transformation. Analytical expressions are obtained for the temporal moments of the solute in the solution phase. The effect of various rate coefficients on the temporal moments is examined. It was found that, in the presence of transformation reactions, the mean arrival time, and the spread and skewness of the breakthrough curves, are not monotonic functions of the rate coefficients. These solutions will be useful as a preliminary analysis tool for ascertaining the relative importance of various processes under given conditions. They may also be used to analyze the accuracy of various numerical techniques used for simulation of reactive transport.

Original language	English (US)
Pages (from-to)	27-43
Number of pages	17
Journal	Journal of Contaminant Hydrology
Volume	69
Issue number	1-2
DOIs	https://doi.org/10.1016/S0169-7722(03)00155-4
State	Published - Mar 2004

Keywords

Breakthrough curve
Mass transfer
Moment analysis
Reactive transport
Sorption kinetics

ASJC Scopus subject areas

Environmental Chemistry
Water Science and Technology

Access to Document

10.1016/S0169-7722(03)00155-4

Cite this

@article{b943bceb47924329bf3810ae44dd50d3,

title = "Reactive solute transport in macroscopically homogeneous porous media: Analytical solutions for the temporal moments",

abstract = "In this work, we investigate one-dimensional solute transport affected by rate-limited sorption, first-order mass transfer, and first-order transformation. Analytical expressions are obtained for the temporal moments of the solute in the solution phase. The effect of various rate coefficients on the temporal moments is examined. It was found that, in the presence of transformation reactions, the mean arrival time, and the spread and skewness of the breakthrough curves, are not monotonic functions of the rate coefficients. These solutions will be useful as a preliminary analysis tool for ascertaining the relative importance of various processes under given conditions. They may also be used to analyze the accuracy of various numerical techniques used for simulation of reactive transport.",

keywords = "Breakthrough curve, Mass transfer, Moment analysis, Reactive transport, Sorption kinetics",

author = "Rajesh Srivastava and Sharma, {Pramod K.} and Brusseau, {Mark L.}",

note = "Funding Information: This work was supported in part by a grant from the NIEHS Superfund Basic Research Program.",

year = "2004",

month = mar,

doi = "10.1016/S0169-7722(03)00155-4",

language = "English (US)",

volume = "69",

pages = "27--43",

journal = "Journal of Contaminant Hydrology",

issn = "0169-7722",

publisher = "Elsevier B.V.",

number = "1-2",

}

TY - JOUR

T1 - Reactive solute transport in macroscopically homogeneous porous media

T2 - Analytical solutions for the temporal moments

AU - Srivastava, Rajesh

AU - Sharma, Pramod K.

AU - Brusseau, Mark L.

N1 - Funding Information: This work was supported in part by a grant from the NIEHS Superfund Basic Research Program.

PY - 2004/3

Y1 - 2004/3

N2 - In this work, we investigate one-dimensional solute transport affected by rate-limited sorption, first-order mass transfer, and first-order transformation. Analytical expressions are obtained for the temporal moments of the solute in the solution phase. The effect of various rate coefficients on the temporal moments is examined. It was found that, in the presence of transformation reactions, the mean arrival time, and the spread and skewness of the breakthrough curves, are not monotonic functions of the rate coefficients. These solutions will be useful as a preliminary analysis tool for ascertaining the relative importance of various processes under given conditions. They may also be used to analyze the accuracy of various numerical techniques used for simulation of reactive transport.

AB - In this work, we investigate one-dimensional solute transport affected by rate-limited sorption, first-order mass transfer, and first-order transformation. Analytical expressions are obtained for the temporal moments of the solute in the solution phase. The effect of various rate coefficients on the temporal moments is examined. It was found that, in the presence of transformation reactions, the mean arrival time, and the spread and skewness of the breakthrough curves, are not monotonic functions of the rate coefficients. These solutions will be useful as a preliminary analysis tool for ascertaining the relative importance of various processes under given conditions. They may also be used to analyze the accuracy of various numerical techniques used for simulation of reactive transport.

KW - Breakthrough curve

KW - Mass transfer

KW - Moment analysis

KW - Reactive transport

KW - Sorption kinetics

UR - http://www.scopus.com/inward/record.url?scp=1242292925&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1242292925&partnerID=8YFLogxK

U2 - 10.1016/S0169-7722(03)00155-4

DO - 10.1016/S0169-7722(03)00155-4

M3 - Article

C2 - 14972436

AN - SCOPUS:1242292925

SN - 0169-7722

VL - 69

SP - 27

EP - 43

JO - Journal of Contaminant Hydrology

JF - Journal of Contaminant Hydrology

IS - 1-2

ER -

Reactive solute transport in macroscopically homogeneous porous media: Analytical solutions for the temporal moments

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this