“…In general, the action of capillarity on immiscible fluid displacement manifests itself via two major phenomena, namely hysteresis and capillary barrier, causing occurrence of nonwetting phase (NWP) at different saturations across the porous medium. The importance of these phenomena has been pointed out by several numerical modeling studies focusing on a variety of specific aspects at the field scale [ Bryant et al ., ; Deng et al ., ; Doughty and Pruess , ; Flett et al ., ; Saadatpoor et al ., ] and at the sub‐meter scale [ Kuo and Benson , ; Li and Benson , ; Ritzi et al ., ; Trevisan et al ., ]. For example, spatial correlation of the permeability ( k ) field as well as interconnectivity of high‐ k preferential flow pathways have a critical impact on CO 2 migration and trapping in saline aquifers [ Gershenzon et al ., ; Han et al ., ; Ide et al ., ; Lengler et al ., ; Tian et al ., ].…”