Stochastic Eulerian model for the flow simulation in porous media
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| 024 | 7 | 0 | |a 10.1515/156939603322729021 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/156939603322729021 | ||
| 245 | 0 | 0 | |a Stochastic Eulerian model for the flow simulation in porous media |h [Elektronische Daten] |c [Karl Sabelfeld, Dmitry Kolyukhin] |
| 520 | 3 | |a 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. | |
| 540 | |a Copyright 2003, Walter de Gruyter | ||
| 690 | 7 | |a Hydraulic conductivity |2 nationallicence | |
| 690 | 7 | |a Lognormal random field |2 nationallicence | |
| 690 | 7 | |a small fluctuation |2 nationallicence | |
| 690 | 7 | |a Darcy law |2 nationallicence | |
| 690 | 7 | |a randomized spectral representation |2 nationallicence | |
| 700 | 1 | |a Sabelfeld |D Karl |u Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D - 10117 Berlin, Germany. E-mail: sabelfeld@wias-berlin.de |4 aut | |
| 700 | 1 | |a Kolyukhin |D Dmitry |u Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D - 10117 Berlin, Germany. E-mail: sabelfeld@wias-berlin.de |4 aut | |
| 773 | 0 | |t Monte Carlo Methods and Applications |d Walter de Gruyter |g 9/3(2003-09-01), 271-290 |x 0929-9629 |q 9:3<271 |1 2003 |2 9 |o mcma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/156939603322729021 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/156939603322729021 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sabelfeld |D Karl |u Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D - 10117 Berlin, Germany. E-mail: sabelfeld@wias-berlin.de |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kolyukhin |D Dmitry |u Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D - 10117 Berlin, Germany. E-mail: sabelfeld@wias-berlin.de |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Monte Carlo Methods and Applications |d Walter de Gruyter |g 9/3(2003-09-01), 271-290 |x 0929-9629 |q 9:3<271 |1 2003 |2 9 |o mcma | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||