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dc.contributor.authorLiu, Gaisheng
dc.contributor.authorZhang, Dongxiao
dc.contributor.authorLu, Zhiming
dc.date.accessioned2015-12-16T19:19:02Z
dc.date.available2015-12-16T19:19:02Z
dc.date.issued2006-09-19
dc.identifier.citationLiu, Gaisheng, Dongxiao Zhang, and Zhiming Lu. "Stochastic Uncertainty Analysis for Unconfined Flow Systems." Water Resources Research Water Resour. Res. 42.9 (2006): n. pag. DOI:10.1029/2005WR004766en_US
dc.identifier.urihttp://hdl.handle.net/1808/19224
dc.descriptionThis is the published version. Copyright American Geophysical Unionen_US
dc.description.abstract[1] A new stochastic approach proposed by Zhang and Lu (2004), called the Karhunen-Loeve decomposition-based moment equation (KLME), has been extended to solving nonlinear, unconfined flow problems in randomly heterogeneous aquifers. This approach is on the basis of an innovative combination of Karhunen-Loeve decomposition, polynomial expansion, and perturbation methods. The random log-transformed hydraulic conductivity field (lnKS) is first expanded into a series in terms of orthogonal Gaussian standard random variables with their coefficients obtained as the eigenvalues and eigenfunctions of the covariance function of lnKS. Next, head h is decomposed as a perturbation expansion series Σh(m), where h(m) represents the mth-order head term with respect to the standard deviation of lnKS. Then h(m) is further expanded into a polynomial series of m products of orthogonal Gaussian standard random variables whose coefficients image are deterministic and solved sequentially from low to high expansion orders using MODFLOW-2000. Finally, the statistics of head and flux are computed using simple algebraic operations on image A series of numerical test results in 2-D and 3-D unconfined flow systems indicated that the KLME approach is effective in estimating the mean and (co)variance of both heads and fluxes and requires much less computational effort as compared to the traditional Monte Carlo simulation technique.en_US
dc.publisherAmerican Geophysical Unionen_US
dc.titleStochastic uncertainty analysis for unconfined flow systemsen_US
dc.typeArticle
kusw.kuauthorLiu, Gaisheng
kusw.kudepartmentKansas Geological Surveyen_US
dc.identifier.doi10.1029/2005WR004766
kusw.oaversionScholarly/refereed, publisher version
kusw.oapolicyThis item does not meet KU Open Access policy criteria.
dc.rights.accessrightsopenAccess


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