Pore‐scale modeling and continuous time random walk analysis of dispersion in porous media

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Pore‐scale modeling of transverse dispersion in porous media (2007, methodology): “This is done to enhance the effect of the dispersion in single bonds in comparison to the effect of the pore size distribution, which, nevertheless, has been shown to be of much more importance [Bijeljic and Blunt, 2006].”
Origins of anomalous transport in heterogeneous media: Structural and dynamic controls (2014, methodology): “The numerically determined w(t) from tracer movement, via particle tracking in a pore network model, has been used to obtain the scaling of the longitudinal dispersion coefficient DL with P eclet number, in agreement with Darcy scale experimental measurements [Bijeljic and Blunt, 2006].”
Pore‐scale intermittent velocity structure underpinning anomalous transport through 3‐D porous media (2014, background): “…mass transfer [Haggerty and Gorelick, 1995], fractional advection-dispersion [Benson et al., 2001], and continuous time random walk (CTRW) models [Berkowitz et al., 2006; Bijeljic and Blunt, 2006], and the equivalence between the models has been shown for certain cases [Dentz and Berkowitz, 2003].”
Modeling non‐Fickian transport in geological formations as a continuous time random walk (2006, background): “(3)Obtain the velocity histogram for a RFN [Scher et al., 2002a], a porous medium [Bijeljic and Blunt, 2006], or permeability field [Di Donato et al., 2003] and model y(s, t) in the manner of (40).”