dc.contributor.author | Kolyukhin, Dmitry | |
dc.contributor.author | Sabelfeld, Karl K. | |
dc.date.accessioned | 2010-10-28T18:47:17Z | |
dc.date.available | 2010-10-28T18:47:17Z | |
dc.date.issued | 2003 | |
dc.identifier.citation | Preprint/Weierstraß-Institut für Angewandte Analysis und Stochastik; 836 | |
dc.identifier.uri | http://hdl.handle.net/11858/00-1735-0000-0001-3316-D | |
dc.description.abstract | This work deals with the stochastic flow simulation in statistically isotropic and anisotropic saturated porous media in 3D case. The hydraulic conductivity is assumed to be a random field with lognormal distribution. Under the assumption of smallness of fluctuations in the hydraulic conductivity we construct a stochastic Eulerian model for the incompressible flow as a divergenceless Gaussian random field with a spectral tensor of a special structure derived from Darcy's law. A randomized spectral representation is then used to simulate this random field. Numerical results are compared with the analytical results obtained by the small pertrubation expansion. A series of test calculations confirmed the high accuracy and computational efficiency of the method. Comparisons with asymptotically exact results show a good agreement. | |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | WIAS, Berlin | |
dc.rights.uri | http://e-docs.geo-leo.de/rights | |
dc.subject.ddc | 550.28 | |
dc.subject.ddc | 550 | |
dc.subject.gok | TOW 000 | |
dc.subject.swd | ZfM : hydraulic conductivity | |
dc.subject.swd | ZfM : lognormal random field | |
dc.subject.swd | ZfM : small fluctuation | |
dc.subject.swd | ZfM : darcy law | |
dc.subject.swd | ZfM : randomized spectral representation | |
dc.title | Stochastic Eulerian model for the flow simulation in porous media | |
dc.type | article | |
dc.subject.gokverbal | Fluiddynamik {Geophysik} | |
dc.identifier.doi | 10.23689/fidgeo-645 | |
dc.identifier.ppn | 504334905 | |
dc.type.version | draft | |
dc.relation.collection | Geophysik | |
dc.description.type | report | |