The fractured-vuggy reservoirs represented by the Tahe oilfield, has strong special characteristics of seepage: The vuggy rocks are dominated by elastic expansion of fluid and fractures are dominated by linear seepage, but existing seepage theories are not good enough to solve the seepage problems in this type of reservoirs. In this paper, a mathematical model of seepage in fractured-vuggy carbonate reservoirs is constructed based on the elastic expansion of the vuggy rocks and linear seepage characteristics of the fracture, and the mathematical model of bottom hole pressure in fractured-vuggy carbonate reservoirs is obtained by using the Laplace transform and the equations solving. Using a computer program to map the effects of fractured-vuggy storage ratio, fracture length, volume of vuggy rocks and fracture location on the double logarithmic curves of the well test. Using the model to provide a refined interpretation of the field test data of well test. The research work in this paper is of great significance in improving the accuracy of well test interpretation in fractured-vuggy reservoirs.