Homogenization of Richards equation in permeability fields with different connectivities

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Physically based modeling in catchment hydrology at 50: Survey and outlook (2015, background): “…been introduced to extrapolate information from local measurements or estimates and to render consistent the measurement and modeling scales [Warrick et al., 1977; Peck et al., 1977; Beckie, 1996; Renard and de Marsily, 1997; Efendiev et al., 2000; Cushman et al., 2002; Neuweiler and Cirpka, 2005].”
Connectivity metrics for subsurface flow and transport (2013, background): “Neuweiler and co-authors [93,55,94] extended this work to unsaturated media and two-phase flow problems.”
Upscaling for unsaturated flow for non‐Gaussian heterogeneous porous media (2007, methodology): “Such models have been derived by Lewandowska and Laurent [2001] and Neuweiler and Cirpka [2005]. The technical details are given in these papers.”
Scaling of water flow through porous media and soils (2007, background): “Another remarkable result was obtained recently by Neuweiler & Cirpka (2005) and Neuweiler & Eichel (2006).”
The Direct Sampling method to perform multiple‐point geostatistical simulations (2010, methodology): “However, alternative methods are used when one is interested in specific connectivity patterns [Capilla and Llopis‐Albert, 2009; Emery, 2007; Gómez‐Hernández and Wen, 1998; Kerrou et al., 2008; Klise et al., 2009; Knudby and Carrera, 2005; Neuwiler and Cirpka, 2005; Sánchez‐ Vila et al., 1996; Schaa”