Abstract: We establish a flow equation stress_sensitive to permeability for fractal and deformed double porous media and introduce permeability modulus of double porous media fractal reservoir.Numerical calculation in a fractal double porous media model with constant rate production or constant pressure production in an infinitely large system is carried out with the Douglas_Jones predictor_corrector method.Typical pressure curves are shown.

Key words: Douglas-Jones predictor-corrector method, low permeability reservoir, double porous media, fractal reservoir