HR: 16:45h
AN: H14B-04 [Abstracts]
TI: Correct Characterization of Passive Tracer Dispersion in Porous Columns: Experiments vs.
Theory
AU: * Cortis, A
EM: andrea.cortis@weizmann.ac.il
AF: Weizmann Institute of Science, Dept. of Environmental Sciences and Energy Research, Rehovot, 76100
Israel
AU: Scher, H
EM: harvey.scher@weizmann.ac.il
AF: Weizmann Institute of Science, Dept. of Environmental Sciences and Energy Research, Rehovot, 76100
Israel
AU: Berkowitz, B
EM: brian.berkowitz@weizmann.ac.il
AF: Weizmann Institute of Science, Dept. of Environmental Sciences and Energy Research, Rehovot, 76100
Israel
AB:
Breakthrough curves (BTC) of a passive tracer in macroscopically
``homogeneous'' granular materials (well-sorted, unconsolidated
sands or glass beads) were measured in a series of column
experiments.
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In parallel, classical experiments on dispersion of a passive
tracer in fully and partially saturated porous columns were
re-examined.
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All of these BTCs exhibit anomalous (non-Fickian) features: early
and late arrival times are observed to differ systematically from
theoretical predictions based on solution of the
advective-dispersion equation (ADE) for uniform porous media.
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We propose that even in these small-scale, ``homogeneous'' porous
medium columns, subtle and residual pore-scale disorder effects
can account for these observations.
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In a Continuous Time Random Walk (CTRW) framework, we determined
an ensemble-averaged distribution of particle transfer rates
(based on a Master Equation for the local flux-averaged
concentration) which accounts for these effects.
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Solutions of the resulting CTRW transport equations yield BTCs
that are in excellent agreement with the entire series of
observations.
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The CTRW formulation also specifies the dependence of the
effective macroscopic parameters on measurable quantities.
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The theoretical predictions are in excellent agreement with the
observations.
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It is critical to understand that as a consequence of our results,
the ADE should not be taken as the starting point of any upscaling
technique.
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Our analyses demonstrate that existing measurements and
interpretations of tracer dispersion experiments in laboratory
experiments should be carefully re-considered in the framework of
these recent advances in conceptual understanding and
quantification.
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These results have also important implications for modeling the
transport of contaminants in large-scale, highly-heterogeneous,
hydrogeological systems.
DE: 1829 Groundwater hydrology
DE: 1832 Groundwater transport
DE: 1869 Stochastic processes
SC: Hydrology [H]
MN: 2004 AGU Fall Meeting