title: Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media.
abstract: We 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.
authors: Department of Chemical and Environmental Engineering, Faculty of Engineering, University of Nottingham, NG7 2RD, United Kingdom.|GeoEnergy Research Centre (GERC), University of Nottingham, NG7 2RD, United Kingdom.|British Geological Survey, Keyworth, Nottingham NG12 5GG, United Kingdom.
authors: C
authors: C
authors: Jin
authors: Department of Chemical and Environmental Engineering, Faculty of Engineering, University of Nottingham, NG7 2RD, United Kingdom.
authors: P A
authors: PA
authors: Langston
authors: Sir Peter Mansfield Magnetic Resonance Centre, University of Nottingham, NG7 2RD, United Kingdom.
authors: G E
authors: GE
authors: Pavlovskaya
authors: GeoEnergy Research Centre (GERC), University of Nottingham, NG7 2RD, United Kingdom.|British Geological Survey, Keyworth, Nottingham NG12 5GG, United Kingdom.
authors: M R
authors: MR
authors: Hall
authors: Department of Chemical and Environmental Engineering, Faculty of Engineering, University of Nottingham, NG7 2RD, United Kingdom.|GeoEnergy Research Centre (GERC), University of Nottingham, NG7 2RD, United Kingdom.|British Geological Survey, Keyworth, Nottingham NG12 5GG, United Kingdom.
authors: S P
authors: SP
authors: Rigby