Time behavior of solute transport in heterogeneous media: transition from anomalous to normal transport

By M. Dentz, A. Cortis, Harvey Scher, Brian Berkowitz. 2003

418 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Environmental Engineering, Water Science and Technology

View Paper: https://www.semanticscholar.org/paper/81a7700923e0899a565361a35b7ed53a4b21ba15

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In Civil and Structural Engineering

In Environmental Engineering

In Water Science and Technology

Citations in the corpus

Transport upscaling in heterogeneous aquifers: What physical parameters control memory functions? (2008, methodology): “However, much less efforts have been devoted to understanding the causes of tailing [Haggerty et al., 2000; Shapiro, 2001; Cortis and Berkowitz, 2004; Dentz et al., 2004].”
Pore‐scale modeling and continuous time random walk analysis of dispersion in porous media (2006, methodology): “…prefactor greater than 1 whose value depends on the heterogeneity of the porous medium, DL reaches its asymptotic value, DL/Dm Pe tmax2 b [Dentz et al., 2004]. c 20 in our simulations (see Figure 3); the solute must experience flow through several slow flowing regions before the average…”
Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications (2009, methodology): “(79)–(86)]): @cpðx; tÞ @tc t c Cð1 cÞp0ðxÞ ¼ V @pðx; tÞ @x þ D @ apðx; tÞ @xa : ðA:5Þ To compare (A.4) to the SA-ADE model, we adopt the CTRW memory function MðtÞ defined by Dentz and Berkowitz [48] (see their Eq.”
Pore‐scale modeling of transverse dispersion in porous media (2007, background): “CTRW theory would predict that the transverse dispersion coefficient would scale linearly with Péclet number in the power law regime in a statistically homogeneous system [Dentz et al., 2004], even though the longitudinal dispersion coefficient varies nonlinearly [Bijeljic et al.”
Modeling non‐Fickian transport in geological formations as a continuous time random walk (2006, methodology): “[45] It can be shown that insertion of (23) into (2) yields in Laplace space [Berkowitz et al., 2002; Dentz et al., 2004]”
Comparison of alternative models for simulating anomalous solute transport in a large heterogeneous soil column (2009, methodology): “When p(s) can be assumed to be Gaussian, the one-dimensional CTRW model in Laplace domain can be written as follows (Dentz et al., 2004; Cortis and Berkowitz, 2004):”