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

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  • 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)

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.

Suggested Citation

  • Sabelfeld K. & Kurbanmuradov O. & Levykin A., 2009. "Stochastic simulation of particle transport by a random Darcy flow through a porous cylinder," Monte Carlo Methods and Applications, De Gruyter, vol. 15(1), pages 63-90, January.
    • Handle: RePEc:bpj:mcmeap:v:15:y:2009:i:1:p:63-90:n:4
    DOI: 10.1515/MCMA.2009.004
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    References listed on IDEAS

    as
    1. Kurbanmuradov O. & Sabelfeld K. & Smidts O.F. & Vereecken H., 2003. "A Lagrangian Stochastic Model for the Transport in Statistically Homogeneous Porous Media," Monte Carlo Methods and Applications, De Gruyter, vol. 9(4), pages 341-366, December.
    2. Kurbanmuradov O. & Sabelfeld K. & Koluhin D., 1997. "Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. Numerical Results," Monte Carlo Methods and Applications, De Gruyter, vol. 3(3), pages 199-224, December.
    3. Kurbanmuradov O. & Sabelfeld K., 2006. "Stochastic Spectral and Fourier-Wavelet Methods for Vector Gaussian Random Fields," Monte Carlo Methods and Applications, De Gruyter, vol. 12(5), pages 395-445, November.
    4. Sabelfeld K.K. & Kurbanmuradov O., 1997. "Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows," Monte Carlo Methods and Applications, De Gruyter, vol. 3(1), pages 53-72, December.
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