In the case of the carbonate heavy oil reservoir with the well developed dissolution fracture

the percolation mechanism of dissolution fracture is different from that of fracture. The conventional well test models can not meet the needs of the well test analysis. In the heavy oil reservoir with quadruple media. According to the basic principle of the seepage flow mechanics

the quadruple-media well test mathematical model based on the fracture

dissolution fracture

dissolution pore and matrix is established in heavy oil treating as the power-law fluid. By means of the Laplace transformation and Stehfest numerical inversion

we obtained the real space solution

and drew the well test curves of three different boundary conditions. The results show that three concaves with different depths and widths occur in the pressure derivative curves of the quardrule-media reservoir and the slope of pressure derivative double-log curve is（1-n）/（3-n） in the stage of radial flow. The smaller the power-law index is

the greater the slope of pressure-derivative curve of radial flow will be. The smaller the storativity ratio is

the wider the concave will be

furthermore

the greater the interporosity flow coefficient is

the ealier the concaves will appear. Compared to the thriple-media

the change of the pressure-derivative curve affected by many parameters is more sensitive in the heavy oil reservoir with quadruple-media. The model is used to guide the interpretation and study of the well test data.