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dc.contributor.author
Müller, Florian
dc.contributor.author
Meyer, Daniel W.
dc.contributor.author
Jenny, Patrick
dc.date.accessioned
2017-06-09T18:10:53Z
dc.date.available
2017-06-09T18:10:53Z
dc.date.issued
2011
dc.identifier.uri
http://hdl.handle.net/20.500.11850/43355
dc.description.abstract
The Karhunen–Loeve (KL) decomposition and the polynomial chaos (PC) expansion are elegant and efficient tools for uncertainty propagation in porous media. Over recent years, KL/PC-based frameworks have successfully been applied in several contributions for the flow problem in the subsurface con- text. It was also shown, however, that the accurate solution of the transport problem with KL/PC techniques is more challenging. We propose a framework that utilizes KL/PC in combination with sparse Smolyak quadrature for the flow problem only. In a subsequent step, a Lagrangian Monte Carlo sampling technique is used for transport, where the flow field samples are calculated very efficiently based on the solutions at relatively few quadrature points. To increase the computational efficiency of the PC-based flow field sampling, a new reduction method is applied. Compared to a conventional full MC method that includes both flow and transport, the proposed PC/MC method (PCMCM) for flow/transport, respectively, saves on the computational cost of the flow problem. The applicability of PCMCM is demonstrated for transport simulations in multivariate Gaussian log-conductivity fields that are unconditional and conditional on conductivity measurements.
dc.language.iso
en
dc.publisher
Seminar für Angewandte Mathematik, ETH
dc.subject
Probabilistic collocation
dc.subject
Karhunen–Loeve expansion
dc.subject
Polynomial chaos
dc.subject
Smolyak sparse grid
dc.subject
Heterogeneous porous media
dc.subject
Tracer transport
dc.title
Probabilistic collocation and Lagrangian sampling for tracer transport in randomly heterogeneous porous media
dc.type
Report
ethz.journal.title
Research reports
ethz.journal.volume
2011/34
ethz.journal.abbreviated
Res. rep.- Natl. Geogr. Soc.
ethz.size
30 p.
ethz.notes
.
ethz.publication.place
Zürich
ethz.publication.status
unpublished
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02130 - Dep. Maschinenbau und Verfahrenstechnik / Dep. of Mechanical and Process Eng.::02628 - Institut für Fluiddynamik / Institute of Fluid Dynamics::03644 - Jenny, Patrick / Jenny, Patrick
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03435 - Schwab, Christoph / Schwab, Christoph
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02130 - Dep. Maschinenbau und Verfahrenstechnik / Dep. of Mechanical and Process Eng.::02628 - Institut für Fluiddynamik / Institute of Fluid Dynamics::03644 - Jenny, Patrick / Jenny, Patrick
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03435 - Schwab, Christoph / Schwab, Christoph
ethz.identifier.url
http://www.sam.math.ethz.ch/reports/2011/34
ethz.date.deposited
2017-06-09T18:11:21Z
ethz.source
ECIT
ethz.identifier.importid
imp59364ec9761b765448
ethz.ecitpid
pub:71928
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-12T17:15:52Z
ethz.rosetta.lastUpdated
2018-10-01T15:02:37Z
ethz.rosetta.versionExported
true
ethz.COinS
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