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DOI10.1016/j.advwatres.2020.103594
On the multiscale characterization of effective hydraulic conductivity in random heterogeneous media: A historical survey and some new perspectives
Colecchio I.; Boschan A.; Otero A.D.; Noetinger B.
发表日期2020
ISSN0309-1708
卷号140
英文摘要In large scale heterogeneous aquifer simulations, determining the appropriate coarsening scale λ to define an effective hydraulic conductivity Keff is a challenging task, that involves a trade-off between accuracy and cost. Efficiently adjusting the scale λ is then key, in particular for uncertainty quantification. In this paper, we obtain improved analytical results for the variance of Keff, valid at any scale, in the context of energy dissipation formulation. Using this formulation, we then derive an efficient Keff numerical estimator, and compare it with those of the potential-flow average and permeameter formulations in 2D, for lognormal and binary media, over a wide range of λ and of heterogeneity. We analyze the probability density function (pdf), mean, and variance, of these estimators, comparing them with the analytical results. In the lognormal case, the pdf's are rather similar for the three estimators, and remain lognormal at all scales. In the binary case, slow convergence to an asymptotic regime is observed close to the percolation threshold. © 2020 Elsevier Ltd
关键词AquifersCoarseningEconomic and social effectsEnergy dissipationHydraulic conductivitySolventsSurveysAnalytical resultsEffective hydraulic conductivitiesHeterogeneous aquifersMultiscale characterizationsPercolation thresholdsProbability density function (pdf)Random heterogeneous mediaUncertainty quantificationsProbability density functionaquiferenergy dissipationheterogeneous mediumhistorical recordhydraulic conductivityprobability density functionstochasticityuncertainty analysisupscaling
语种英语
来源机构Advances in Water Resources
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/131804
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GB/T 7714
Colecchio I.,Boschan A.,Otero A.D.,et al. On the multiscale characterization of effective hydraulic conductivity in random heterogeneous media: A historical survey and some new perspectives[J]. Advances in Water Resources,2020,140.
APA Colecchio I.,Boschan A.,Otero A.D.,&Noetinger B..(2020).On the multiscale characterization of effective hydraulic conductivity in random heterogeneous media: A historical survey and some new perspectives.,140.
MLA Colecchio I.,et al."On the multiscale characterization of effective hydraulic conductivity in random heterogeneous media: A historical survey and some new perspectives".140(2020).
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