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Modeling of scale‐dependent dispersion in hydrogeologic systems

Modeling of scale‐dependent dispersion in hydrogeologic systems An approach for handling scale‐dependent dispersion using a finite element (linear triangular) solute transport model was developed. Dispersivity is allowed to vary temporally as a function of the mean travel distance of the solute from an input source. Various scale‐dependent dispersivity relationships were presented including types which approach continuously to a maximum or asymptotic value. The finite element model results were verified for a one‐dimensional case by comparison of the theoretical variances of the solute distribution for a given dispersivity‐travel distance function with the variances calculated from the finite element model concentration distributions. The model was applied successfully to the results of several tracer tests reported in the literature that have exhibited a scale effect. For systems that exhibit a constant (asymptotic) dispersivity at large times or mean travel distances, the importance of scale‐dependent dispersion at early times or short travel distances was shown to be minimal in long‐term predictions of solute transport. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Water Resources Research Wiley

Modeling of scale‐dependent dispersion in hydrogeologic systems

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References (28)

Publisher
Wiley
Copyright
Copyright © 1981 by the American Geophysical Union.
ISSN
0043-1397
eISSN
1944-7973
DOI
10.1029/WR017i006p01701
Publisher site
See Article on Publisher Site

Abstract

An approach for handling scale‐dependent dispersion using a finite element (linear triangular) solute transport model was developed. Dispersivity is allowed to vary temporally as a function of the mean travel distance of the solute from an input source. Various scale‐dependent dispersivity relationships were presented including types which approach continuously to a maximum or asymptotic value. The finite element model results were verified for a one‐dimensional case by comparison of the theoretical variances of the solute distribution for a given dispersivity‐travel distance function with the variances calculated from the finite element model concentration distributions. The model was applied successfully to the results of several tracer tests reported in the literature that have exhibited a scale effect. For systems that exhibit a constant (asymptotic) dispersivity at large times or mean travel distances, the importance of scale‐dependent dispersion at early times or short travel distances was shown to be minimal in long‐term predictions of solute transport.

Journal

Water Resources Research – Wiley

Published: Dec 1, 1981

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