Abstract: The conventional continuous media model and the corresponding reservoir numerical simulation,as well as well test method are not suitable for fracture-vug type of carbonate rock reservoir due to its variety of pore spaces,strong inhomogeneity and complex law of fluid flow.In this paper,from the aspect of reservoir media and fluid flow,integrating the research situation of numerical simulation and well test,the current situation and development tendency of fluid flow mathematic model and the application of the kind of reservoir are reviewed,the application conditions and the advantage and disadvantage of equivalent dual-media method,triple-media method,popularized multiple-media method,non-continuous media method and the method combining continuous with non-continuous media are systematically discussed.It is pointed out that dual-media,triple-media and the popularized multiple-media models are the main ones which are applied and studied.But the discrete fracture net model of non-continuous media field should be integrated if there are big and inhomogeneously distributed vugs and fractures,and also,the practical motion law of fluid in vugs in fracture-vug reservoir should be taken into consideration,the research and application in this area are still immature.

Key words: fracture-vug type, reservoir, mathematic model, numerical simulation, well testing