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dc.contributor.authorKurbanmuradov, Orazgeldi A.
dc.contributor.authorSabelfeld, Karl K.
dc.date.accessioned2010-11-26T11:50:27Z
dc.date.available2010-11-26T11:50:27Z
dc.date.issued2008
dc.identifier.citationPreprint/Weierstraß-Institut für Angewandte Analysis und Stochastik; 1374
dc.identifier.urihttp://hdl.handle.net/11858/00-1735-0000-0001-340A-1
dc.description.abstractA stochastic numerical method is developed for simulation of flows and particle transport in a 2D layer of porous medium. The hydraulic conductivity is assumed to be a random field of a given statistical structure, the flow is modeled in the layer with prescribed boundary conditions. Numerical experiments are carried out by solving the Darcy equation for each sample of the hydraulic conductivity by a direct solver for sparse matrices, and tracking Lagrangian trajectories in the simulated flow. We present and analyze different Eulerian and Lagrangian statistical characteristics of the flow such as transverse and longitudinal velocity correlation functions, longitudinal dispersion coefficient, and the mean displacement of Lagrangian trajectories. We discuss the effect of long-range correlations of the longitudinal velocities which we have found in our numerical simulations. The related anomalous diffusion is also analyzed.
dc.format.extent24 S.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherWIAS, Berlin
dc.relationinfo:eu-repo/grantAgreement/EC/FP7/212147
dc.rightsopen access
dc.rights.urihttp://e-docs.geo-leo.de/rights
dc.subject.ddc550.28
dc.subject.ddc550
dc.subject.swdZfM : Darcy equation
dc.subject.swdZfM : random hydraulic conductivity
dc.subject.swdZfM : randomized spectral models
dc.subject.swdZfM : diffusion regime
dc.subject.swdZfM : long-range correlations
dc.titleStochastic flow simulation and particle transport in a 2D layer of random porous medium
dc.typearticle
dc.identifier.doi10.23689/fidgeo-850
dc.identifier.ppn59020405X
dc.type.versiondraft
dc.relation.collectionAstronomie, Astrophysik, Weltraumforschung
dc.description.typeresearch


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