“…Due to the large number of variables involved in the problem, dimensionless scaling groups should be determined first to characterize the process. The approach known as dimensionless analysis has been widely used in the petroleum engineering research and design studies (Croes and Schwarz, 1955;Rapoport, 1955;Geertsma, et al, 1956;Craig, et al, 1957Craig, et al, , 1961Carpenter, 1962;Shook, et al, 1992;Gharbi, et al, 1998;Djuro, 2002;Hernandez and Wojtanowicz, 2007). In general, two methods may be used to define dimensionless scaling groups: inspectional analysis (IA) ---based on the differential equations that govern the process, and dimensional analysis (DA) ---derived from the primary dimensions of the physical system.…”