Institute of Computational Mathematics and Mathematical Geophysics

International Conference on Mathematical Methods in Geophysics «MMG-2003»

Akademgorodok, Novosibirsk, Russia, October 8-12, 2003

Abstracts

Mathematical problems in geophysical investigations of solid Earth

Renormalizatin group study of a flow in porous medium with multiscale log-stable permeability.

Kuzmin G. A. , Soboleva O.N.,

Instute of Comutational mathematics and Mathematical Geophisics
SB RAS (Novosibirsk)

We study the multiscale heterogenety in the subsurface hydrodynamics using the renormalization group method for the range of harameters, which lies in the range of values measured in the natural experiments. The main results of the present paper are the conformal theory of the intermittent fields, the subgrid models, that are supported by the direct computer simulations.

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