Based on the Warren-Root model,introducing fractal parameter and deformable coefficient and considering the effect of pressure on permeability and porosity,we construct a seepage flow model for pressure-sensitive deformable double media fractal gas reservoirs.A finite element method which has advantages in numerical solution of partial differences equations is used.The effect of parameters on pressure and importance in pressure-sensitive deformable double media fractal gas reservoirs are analyzed in detail.

A three-dimensional,three-phase,eight-component mathematical model based on the component model and the black oil model is presented. The model considers main factors,such as gravity,capillary force,compressibility of fluid and rock etc.An improved IMPES (implicit pressure, explicit saturation) method is applied in which the phase pressure is calculated implicity and the phase saturation is calculated with high order accuracy.Based on this mathematical model,a numerical simulator is developed for the profile controlling and flooding with weak gel.