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Publication Date:
May 2009
ISSN:
1569-3961
DOI:
10.1515/MCMA.2009.004

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Monte Carlo Methods and Applications

Managing Editor: Sabelfeld, Karl K.

Editorial Board Member: Binder, Kurt / Bouleau, Nicolas / Chorin, Alexandre J. / Dimov, Ivan / Dubus, Alain / Egorov, Alexander D. / Ermakov, Sergei M. / Halton, John H. / Heinrich, Stefan / Kalos, Malvin H. / Lepingle, D. / Makarov, Roman / Mascagni, Michael / Mathe, Peter / Niederreiter, Harald / Platen, Eckhard / Sawford, Brian R. / Schmid, Wolfgang Ch. / Schoenmakers, John / Simonov, Nikolai A. / Sobol, Ilya M. / Spanier, Jerry / Talay, Denis

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Stochastic simulation of particle transport by a random Darcy flow through a porous cylinder

K. Sabelfeld1 / O. Kurbanmuradov2 / A. Levykin3

1ICMMG, Russian Academy of Sciences, Siberian Branch, Lavrentiev street 6, 630090 Novosibirsk, Russia. Email: karl@osmf.sscc.ru

2Center for Phys. Math. Research, Turkmenian State University, Turkmenbashy av. 31, 744000 Ashgabad, Turkmenistan. Email: kurbanmu@yahoo.com

3ICMMG, Russian Academy of Sciences, Siberian Branch, Lavrentiev street 6, 630090 Novosibirsk, Russia. Email: lai@osmf.sscc.ru

Citation Information: Monte Carlo Methods and Applications. Volume 15, Issue 1, Pages 63–90, ISSN (Online) 1569-3961, ISSN (Print) 0929-9629, DOI: 10.1515/MCMA.2009.004, May 2009

Publication History:
Received:
2007-11-07
Revised:
2008-12-15
Published Online:
2009-05-14

Abstract

A stochastic simulation method is developed for a numerical study of particle transport in random porous medium. The hydraulic conductivity is assumed to be a random field of a given statistical structure, the flow is modelled in a cylinder with prescribed boundary conditions. Numerical experiments are carried out by solving the random Darcy equation for each sample of the hydraulic conductivity by a SOR iteration method, and tracking Lagrangian trajectories in the simulated flow.

Keywords.: Darcy equation; random hydraulic conductivity; flow in a cylinder; Lagrangian trajectory; randomized spectral models; lognormal random fields

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