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

Sabelfeld K., Kurbanmuradov O. and Levykin A.
Additional contact information
Sabelfeld K.: ICMMG, Russian Academy of Sciences, Siberian Branch, Lavrentiev street 6, 630090 Novosibirsk, Russia. Email: karl@osmf.sscc.ru
Kurbanmuradov O.: Center for Phys. Math. Research, Turkmenian State University, Turkmenbashy av. 31, 744000 Ashgabad, Turkmenistan. Email: kurbanmu@yahoo.com
Levykin A.: ICMMG, Russian Academy of Sciences, Siberian Branch, Lavrentiev street 6, 630090 Novosibirsk, Russia. Email: lai@osmf.sscc.ru

Monte Carlo Methods and Applications, 2009, vol. 15, issue 1, 63-90

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 (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1515/MCMA.2009.004

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