# Институт вычислительной математики

и математической геофизики

# The International Conference on Computational Mathematics

ICCM-2004

June, 21-25, 2004
Novosibirsk, Academgorodok

## Abstracts

*Statistic modeling and Monte Carlo methods*

## Eulerian-Lagrangian stochastic model of transport in a porous layer

**ICM&MG,**

Novosibirsk and WIAS,

Berlin (Novosibirsk)
A small perturbation method is developed for the construction
of a stochastic model of transport in a porous medium. Under the
assumption of small fluctuations of the hydraulic conductivity
we construct explicitly the spectral tensor of the velocity field.
In the case of gaussian distribution of the velocity field we use
the constructed spectra for simulating the Lagrangian trajectory
according to the technique given in [1]. This results in a Eulerian-Lagrangian stochastic model of particle's transport
in this kind of velocity field and in calculating the main
Lagrangian statistical characteristics. This approach is a genegalization of the work of authors [2], where we have considered
the whole space. Essentially new is the result about the existence
of a superdiffusion regime.

References.
1. Sabelfeld K.K. Monte Carlo Methods in Boundary Value Problems.
Springer, New-York - Tokyo - Berlin, 1991.
2. K. Sabelfeld and D. Kolyukhin. Eulerian model for the flow
simulation in porous media. Monte Carlo Methods and Applications.
Vol.9, N3, 271-290.

*Note. Abstracts are published in author's edition*

© 1996-2000, Siberian Branch of Russian Academy of Sciences, Novosibirsk

Last update: 06-Jul-2012 (11:52:06)