“…However, questions remain regarding the reliability of small-scale K estimates and the spatial interpolation method in representing the connectivity of hydraulic parameters between and beyond boreholes (Illman, 2014). both porous and fractured media has been shown through numerical (e.g., Luo et al, 2020;Yeh & Liu, 2000;, laboratory (e.g., Berg & Illman, 2011a;Illman et al, 2007Illman et al, , 2010Illman et al, , 2015Liu et al, 2002;Luo et al, 2017;Sharmeen et al, 2012;Zhao et al, 2015Zhao et al, , 2021Zhou et al, 2016) and field (e.g., Berg & Illman, 2011b;Bohling et al, 2007;Cardiff et al, 2012Cardiff et al, , 2013Cardiff et al, , 2020Castagna et al, 2011;Illman et al, 2009;Luo et al, 2022;Zha et al, 2016;, 2018 studies. However, the estimated K distribution may be spatially smooth due to insufficient spatial head data or lose its vertical resolution due to the use of depth-averaged head data.…”