“…While such systems are of significant recent interest due to applications that include waste disposal (Nordbotten et al, 2004; Rumynin et al, 2005), DNAPL remediation (Hill et al, 2001; Johnson et al, 2004; Miller et al, 2000), and saltwater intrusion (Abarca et al, 2007; Brovelli et al, 2007; Goswami and Clement, 2007; Held et al, 2005; Zhang et al, 2001), our understanding of such systems is not complete. In the sections that follow, we briefly summarize the state of knowledge regarding equations of state, density effects, viscous effects, porous medium property effects, model formulation, and simulators.…”