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A novel computational method for modelling stochastic advection in heterogeneous media

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Abstract

The paper is devoted to a new computational method for problems of transport in highly non-uniform media. In particular, the method is applied to the problem of anomalous contaminant transport in a field with a randomly distributed permeability, which was modelled as a stochastic advection process governed by a stochastic advection model. The stochastic advection model is used to generate different realisations of micro-dispersion parameters required for direct numerical simulations. The new numerical method combines the merits of finite-volume and finite-difference approaches and is demonstrated to be efficient and robust in several benchmark advection tests. For the stochastic advection problem considered the results of the new computational method are in a good agreement with analytical predictions available for different stochastic advection regimes.

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Authors and Affiliations

  1. Nuclear Safety Institute, Russian Academy of Sciences, ul. Bolshaya Tulskaya 52, Moscow, 115191, Russia

    Vasilly M. Goloviznin, Vladimir N. Semenov, Ivan A. Korotkin & Sergey A. Karabasov

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  1. Vasilly M. Goloviznin
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  2. Vladimir N. Semenov
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  3. Ivan A. Korotkin
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  4. Sergey A. Karabasov
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Correspondence to Ivan A. Korotkin.

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Goloviznin, V.M., Semenov, V.N., Korotkin, I.A. et al. A novel computational method for modelling stochastic advection in heterogeneous media. Transp Porous Med 66, 439–456 (2007). https://doi.org/10.1007/s11242-006-0022-z

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