Statistics of highly heterogeneous flow fields confined to three-dimensional random porous mediaTools Jin, Chunyu and Langston, Paul A. and Pavlovskaya, Galina E. and Hall, Mattew R. and Rigby, Sean P. (2016) Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media. Physical Review E, 93 . 013122/1-013122/10. ISSN 1550-2376 Full text not available from this repository.AbstractWe present a strong relationship between the microstructural characteristics of, and the fluid velocity fields confined to, three-dimensional random porous materials. The relationship is revealed through simultaneously extracting correlation functions R-uu (r) of the spatial (Eulerian) velocity fields and microstructural two-point correlation functions S-2(r) of the random porous heterogeneous materials. This demonstrates that the effective physical transport properties depend on the characteristics of complex pore structure owing to the relationship between R-uu (r) and S-2(r) revealed in this study. Further, the mean excess plot was used to investigate the right tail of the streamwise velocity component that was found to obey light-tail distributions. Based on the mean excess plot, a generalized Pareto distribution can be used to approximate the positive streamwise velocity distribution.
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