“…Different carbonate reservoirs have different development degrees of fracture and vug (Mai and Kantzas 2007), so different carbonate reservoirs have different fluid dynamics, and a task of researchers is establishing various test models supplied to users to evaluate the properties of the underground reservoir. So far, there are many theoretical models for the flow of underground oil in multiple media reservoirs (Braester 1984, Abdassah and Ershaghi 1986, Jalali and Ershaghi 1987, Al-Ghamdi and Ershaghi 1996, Bui et al 2000, Camacho-Vela´zquez et al 2005, Pulido et al 2006, Gua and Chalaturnyk 2010, and although there are many papers about the dual media reservoir and triple media reservoir, in their papers, the manner of interporosity flow is pseudo-steady for both matrix to fracture and vugs to fracture, and the shape of the matrix and vug may be arbitrary because the governing equation of the matrix and vug for pseudo-steady inter-porosity flow has no relationship with the coordinate r. In addition, there are some papers about the unsteady inter-porosity flow (Warren and Root 1963, Bourdet and Gringarten 1980, Wijesinghe and Culham 1984, Wijesinghe and Kececioglu 1985, Rasmussen and Civan 2003, Izadi and Yildiz 2007. In their papers, the research object is the dual media reservoirs.…”