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Titel |
Analyses of uncertainties and scaling of groundwater level fluctuations |
VerfasserIn |
X. Y. Liang, Y.-K. Zhang |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1027-5606
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Digitales Dokument |
URL |
Erschienen |
In: Hydrology and Earth System Sciences ; 19, no. 7 ; Nr. 19, no. 7 (2015-07-01), S.2971-2979 |
Datensatznummer |
250120755
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Publikation (Nr.) |
copernicus.org/hess-19-2971-2015.pdf |
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Zusammenfassung |
Analytical solutions were derived for the variance, covariance, and spectrum of
groundwater level, h(x, t), in an unconfined aquifer described by a linearized
Boussinesq equation, with random source/sink and initial and boundary
conditions. It was found that in a typical aquifer, the error in
h(x, t) at an early point in time is mainly caused by the random initial condition, and the error
reduces as time progresses to reach a constant error at a later time. The
duration for which the effect of the random initial condition is
significant may be a few hundred days in most aquifers. The constant error
in h(x, t) at a later time is due to the combined effects of the uncertainties in the
source/sink and flux boundary: the closer to the flux boundary, the larger
the error. The error caused by the uncertain head boundary is limited to a
narrow zone near the boundary and remains more or less constant over time.
The aquifer system behaves as a low-pass filter which filters out
high-frequency noises and keeps low-frequency variations. Temporal scaling
of groundwater level fluctuations exists in most parts of a low permeable
aquifer whose horizontal length is much larger than its thickness, caused by
the temporal fluctuations of areal source/sink. |
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