Abstract: The unsteady linear water invasion models of fractured carbonate reservoir and fracture-vuggy carbonate reservoir were deduced and established respectively, assuming the reservoir was rectangular and the closed water body was linearly distributed on one side of the reservoir. Then the models were solved by modern mathematical methods, and the linear water invasion curves of carbonate edge-water reservoir were plotted. The water invasion curves of two kinds of carbonate edge-water reservoirs were compared and analyzed, and the water invasion curves of infinite water body were also drawn. In addition, the characteristics and rules of water invasion were analyzed by drawing water invasion curves of fracture-vuggy carbonate reservoirs under different parameters. Finally, the water invasion model was applied and analyzed combined with the field data of fracture-vuggy carbonate edge-water reservoir from Tarim Basin. The results show that: 1) There is one ascending stage in the late stage of water invasion curve for fracture carbonate reservoir, and two ascending stages in the late stage of water invasion curve for fracture-vuggy carbonate reservoir. 2) The interporosiy flow coefficient affects the occurrence of the ascending stage of water invasion curve. 3) Storage coefficient affects the position of the corresponding stage of water invasion curve. 4) Water distance affects the position of all stages in the late stage of water invasion curve. 5) It is an important guarantee for the rational and efficient development of carbonate reservoir to fully understand the characteristics and rules of water invasion.

Key words: rectangular reservoirs, carbonate edge-water reservoirs, linear water invasion model, water invasion curve, water invasion characteristics