Abstract: In fractal dual porosity reservoir model, the features of fractured media and rock matrix are introduced, which reflect the frac-tal dimension that describes fractal geometrical characteristic and the fractal index that depicts connectivity of fractal flow network. The mathematical model with closed boundary for well test analysis is developed considering variable flow rate under borehole storage and skin effects. For a special case that is widely applied, this paper presents Laplace space solution for dimensionless reservoir pressure and bottom hole pressure,reducing several practical formulas,and making further discussion for application. This study can be as a guide for oil/gas reservoir simulation with great convenience and instruction to the relative uses.

Key words: porous media, fractal, pressure, distribution, percolation