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Titel |
Solute transport in a heterogeneous aquifer: a search for nonlinear deterministic dynamics |
VerfasserIn |
B. Sivakumar, T. Harter, H. Zhang |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1023-5809
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Digitales Dokument |
URL |
Erschienen |
In: Nonlinear Processes in Geophysics ; 12, no. 2 ; Nr. 12, no. 2 (2005-02-08), S.211-218 |
Datensatznummer |
250010484
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Publikation (Nr.) |
copernicus.org/npg-12-211-2005.pdf |
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Zusammenfassung |
The potential use of a nonlinear deterministic framework for understanding
the dynamic nature of solute transport processes in subsurface formations is
investigated. Time series of solute particle transport in a heterogeneous
aquifer medium, simulated using an integrated probability/Markov chain
(TP/MC) model, groundwater flow model, and particle transport model, are
studied. The correlation dimension method, a popular nonlinear time series
analysis technique, is used to identify nonlinear determinism. Sensitivity
of the solute transport dynamics to the four hydrostratigraphic parameters
involved in the TP/MC model: (1) number of facies; (2) volume proportions of
facies; (3) mean lengths (and thereby anisotropy ratio of mean length) of
facies; and (4) juxtapositional tendencies (i.e. degree of entropy) among
the facies is also studied. The western San Joaquin Valley aquifer system in
California is considered as a reference system. The results indicate, in
general, the nonlinear deterministic nature of solute transport dynamics
(dominantly governed by only a very few variables, on the order of 3), even
though more complex behavior is possible under certain (extreme)
hydrostratigraphic conditions. The sensitivity analysis reveals: (1) the
importance of the hydrostratigraphic parameters (in particular, volume
proportions of facies and mean lengths) in representing aquifer
heterogeneity; and (2) the ability of the correlation dimension method in
capturing the (extent of) complexity of the underlying dynamics.
Verification and confirmation of the present results through use of other
nonlinear deterministic techniques and assessment of their reliability for a
wide range of solute transport scenarios are recommended. |
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