A primer on upscaling tools for porous media

By J. H. Cushman, L. Bennethum, Bill X. Hu. 2002

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Perspective on theories of non-Fickian transport in heterogeneous media (2009, methodology): “We omit from our discussion other models of non-Fickian transport (see [17]).”
Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 2. Foundation (2005, background): “Although a clear discrete set of separated length scales has been stipulated, we note that most natural porous medium systems consist of a hierarchy of many different length scales that may not have a clear separation [10].”
Physically based modeling in catchment hydrology at 50: Survey and outlook (2015, methodology): “In this case upscaling of both model parameters and model equations is necessary [Cushman et al., 2002].”
Modeling non‐Fickian transport in geological formations as a continuous time random walk (2006, background): “Therefore higher-order closure schemes resulting in partial summations of the perturbation expression for Dij(s, t) have been invoked [e.g., Koch and Shaqfeh, 1992; Neuman, 1993; Zhang and Neuman, 1995; Cushman et al., 2002].”