“…To conquer these two issues, parallel computation techniques have been involved in reservoir simulations. Since 1980s, various of parallel simulators were developed (Li et al, 1995;Wheeler and Smith, 1989;Rutledge et al, 1991;Shiralkar et al, 1997;Parashar et al, 1997;Kaarstad et al, 1995;Killough and Bhogeswara, 1991;Killough et al, 1997). In (Dogru et al, 2002(Dogru et al, , 2009), Dogru et al developed a parallel simulator, GigaPOWERS, which has been successfully applied to a case with one billion gird cells, and a truncated Neumann series preconditioner is developed.…”