A novel computational method for modelling stochastic advection in heterogeneous media
A novel computational method for modelling stochastic advection in heterogeneous media
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.
Anomalous contaminant transport, Numerical methods for hyperbolic conservation laws, Stochastic advection model
439-456
Goloviznin, Vasilly M.
3fae1501-6521-497e-8ffd-e94d8ecf4fbe
Semenov, Vladimir N.
9e33f9ad-de88-48e1-80f0-dde3a19278e8
Korotkin, Ivan A.
1ca96363-075e-41d9-a0c1-153c8c0cc31a
Karabasov, Sergey A.
8c5764f1-8325-47c0-8db7-4565ac15685d
1 February 2007
Goloviznin, Vasilly M.
3fae1501-6521-497e-8ffd-e94d8ecf4fbe
Semenov, Vladimir N.
9e33f9ad-de88-48e1-80f0-dde3a19278e8
Korotkin, Ivan A.
1ca96363-075e-41d9-a0c1-153c8c0cc31a
Karabasov, Sergey A.
8c5764f1-8325-47c0-8db7-4565ac15685d
Goloviznin, Vasilly M., Semenov, Vladimir N., Korotkin, Ivan A. and Karabasov, Sergey A.
(2007)
A novel computational method for modelling stochastic advection in heterogeneous media.
Transport in Porous Media, 66 (3), .
(doi:10.1007/s11242-006-0022-z).
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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Published date: 1 February 2007
Additional Information:
Funding Information:
The support under CRDF Grant is gratefully acknowledged.
© Springer Science+Business Media B.V. 2007
Keywords:
Anomalous contaminant transport, Numerical methods for hyperbolic conservation laws, Stochastic advection model
Identifiers
Local EPrints ID: 468115
URI: http://eprints.soton.ac.uk/id/eprint/468115
ISSN: 0169-3913
PURE UUID: 93cb3b90-2f29-49e5-b9ea-1481708cde81
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Date deposited: 02 Aug 2022 17:08
Last modified: 18 Mar 2024 03:50
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Contributors
Author:
Vasilly M. Goloviznin
Author:
Vladimir N. Semenov
Author:
Sergey A. Karabasov
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