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| Titel |
Quantifying flow and remediation zone uncertainties for partially opened wells in heterogeneous aquifers |
| VerfasserIn |
C.-F. Ni, C.-P. Lin, S.-G. Li, J.-S. Chen |
| 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 ; 15, no. 7 ; Nr. 15, no. 7 (2011-07-18), S.2291-2301 |
| Datensatznummer |
250012894
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| Publikation (Nr.) |
 copernicus.org/hess-15-2291-2011.pdf |
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| Zusammenfassung |
| This study presents a numerical first-order spectral model to quantify
transient flow and remediation zone uncertainties for partially opened wells
in heterogeneous aquifers. Taking advantages of spectral theories in solving
unmodeled small-scale variability in hydraulic conductivity (K), the
presented nonstationary spectral method (NSM) can efficiently estimate flow
uncertainties, including hydraulic heads and Darcy velocities in r- and
z-directions in a cylindrical coordinate system. The velocity uncertainties
associated with the particle backward tracking algorithm are then used to
estimate stochastic remediation zones for scenarios with partially opened
well screens. In this study the flow and remediation zone uncertainties
obtained by NSM were first compared with those obtained by Monte Carlo
simulations (MCS). A layered aquifer with different geometric mean of K and
screen locations was then illustrated with the developed NSM. To compare NSM
flow and remediation zone uncertainties with those of MCS, three different
small-scale K variances and correlation lengths were considered for
illustration purpose. The MCS remediation zones for different degrees of
heterogeneity were presented with the uncertainty clouds obtained by 200
equally likely MCS realizations. Results of simulations reveal that the
first-order NSM solutions agree well with those of MCS for partially opened
wells. The flow uncertainties obtained by using NSM and MCS show identically
for aquifers with small ln K variances and correlation lengths. Based on the
test examples, the remediation zone uncertainties (bandwidths) are not
sensitive to the changes of small-scale ln K correlation lengths. However,
the increases of remediation zone uncertainties (i.e. the uncertainty
bandwidths) are significant with the increases of small-scale ln K variances.
The largest displacement uncertainties may have several meters of
differences when the ln K variances increase from 0.1 to 1.0. Such
conclusions are also valid for the estimations of remediation zones in
layered aquifers. |
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