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Published in Soil Sci. Soc. Am. J. 68:1539-1548 (2004).
© 2004 Soil Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA

DIVISION S-1—SOIL PHYSICS

Anomalous Transport in "Classical" Soil and Sand Columns

Andrea Cortis and Brian Berkowitz*

Dep. of Environmental Sciences and Energy Research, Weizmann Institute of Science, 76100 Rehovot, Israel

* Corresponding author (brian.berkowitz{at}weizmann.ac.il)

We re-examine—in light of recent theoretical developments—classical experiments on dispersion of a passive tracer in fully and partially saturated porous columns. We find that the dispersion breakthrough curves (BTCs) exhibit anomalous (non-Fickian) early arrival times and late time tailing, which can be explained by the Continuous Time Random Walk (CTRW) theory. The CTRW framework includes as a special case the classical advection-dispersion equation (ADE) for Fickian transport. We argue that existing measurements and interpretations of dispersion should be carefully reconsidered in the framework of these advances in conceptual understanding and quantification.

Abbreviations: ADE, advection-dispersion equation • BTC, breakthrough curve • CTRW, continuous time random walk




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