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Arrival times and temporal moments of breakthrough curves for an imperfectly stratified aquifer

Water Resources Research

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DOI: 10.1029/91WR02105

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Abstract

A solution in Laplace transform space is obtained for transport of resident concentration in an imperfectly but yet highly stratified porous medium. From this transform-space solution either temporal moments can be derived by taking derivatives with respect to the Laplace parameter, or the transform-space solution can be inverted numerically to obtain breakthrough curves for the mean concentration. When compared to an equivalent solution with a Fickian dispersive flux, these temporal moments indicate the extent to which transport in heterogeneous porous media deviates from classifical Fickian behaviour. The numerical inversion of the Laplace transform solution gives partial breakthrough curves for the mean concentration which have the appearance of conflicting with the derived moment information. A hypothesis is put forth which resolves this apparent conflict; this hypothesis is verified by adding a component of local dispersion to the governing transport equation. -from Author

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Arrival times and temporal moments of breakthrough curves for an imperfectly stratified aquifer
Series title:
Water Resources Research
DOI:
10.1029/91WR02105
Volume
28
Issue:
1
Year Published:
1992
Language:
English
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Water Resources Research
First page:
53
Last page:
68