A Lagrangian Stochastic Model for the Transport in Statistically Homogeneous Porous Media

Kurbanmuradov O., Sabelfeld K., Smidts O.F. and Vereecken H.
Additional contact information
Kurbanmuradov O.: 1. Center for Phys. Math. Research, Turkmenian State University, Turkmenbashy av. 31, 744000 Ashgabad, Turkmenistan
Sabelfeld K.: 2. Institute of Comput. Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Lavrentieva str., 6, 630090 Novosibirsk, Russia
Smidts O.F.: 4. Université Libre de Bruxelles, 50 av. F.D. Roosevelt, B-1050 Brussels - Belgium
Vereecken H.: 5. Institute of Chemistry and Dynamics of the Geosphere, ICG IV, Agrosphere, Forschungszentrum Jülich, D-52425 Jülich - Germany

Monte Carlo Methods and Applications, 2003, vol. 9, issue 4, 341-366

Abstract: A new type of stochastic simulation models is developed for solving transport problems in saturated porous media which is based on a generalized Langevin stochastic differential equation. A detailed derivation of the model is presented in the case when the hydraulic conductivity is assumed to be a random field with a lognormal distribution, being statistically isotropic in space. To construct a model consistent with this statistical information, we use the well-mixed condition which relates the structure of the Langevin equation and the probability density function of the Eulerian velocity field. Numerical simulations of various statistical characteristics like the mean displacement, the displacement covariance tensor and the Lagrangian correlation function are presented. These results are compared against the conventional Direct Simulation Method.

Keywords: Porous media; Lognormal hydraulic conductivity; Stochastic and turbulent flows; stochastic Eulerian and Lagrangian models (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (4)

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DOI: 10.1515/156939603322601969

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