Abstract: The fractal theory created by foreign scientists in the eightise, last century,has been widly applied in many fields, the nonlinear fractal theory is being introduced gradually into Reservoir Numerical Simulation. The firstcomers who descriped the pores and the fractures in porous media with fractal dimension and fractal parameter are the foreign scientists and the reservoir engineers, which breaks the traditionary way of using homogeneous or pesudo homogeneous assumption to reflect fractal porous media and makes the theory of fractal reservoir be founded. The farther research has been done to solute the models by the engineers. Comparing with the classic model， the reservoir numerical model which established with fractal theory is more complex and more closer to the natural and actual reservoir, it can demenstrate the complexity of real reservoir more effecttively.

Key words: fractal theory, fractal character of porous media, theory of fractal reservoir, lreservoir numerical simulation, fractal reservoir model of flow through porous med