Abstract: According to the mole conservation on the water and the hy-components in reservoir, adopting the K-value theoryof pseudo-component division，integrating Darcy's law and the method of the pseudo-component phase equilibrium calculation，the two-dimension three-phase single-well compositional mathe-matical model was presented. The effects of gravity, capillary pressure and interfacial tension, the compressibility of water and
rock, the heterogeneity and anisotropy of rock physical proper-ties，were considered. The difference equation for the mathemat-ical model was accomplished by using the way of implicit pres-sure and explicit saturation(IMPES).The nonlinear equation was linearized by adopting Newton iteration method. The answer of the difference equation group was solved by utilizing linear Taxation method and direct solving method. A set of FORTRA1 calculation program was written. The result of study was used for the simulation calculation of the saturated conditions condensate gas reservoir controlled by single-well. It put emphasis on eval-uatittg produced gas velocity affects development performance of stable production fixed number of years and produced degree for the saturation conditions gas condensate reservoir. It provided the foundation for development plan optimization of the saturation
conditions gas condensate reservoir and gas well reasonable pro-duce system regulation.

Key words: saturation conditions condensate gas reservoir, numerical model, pseudo-component, history match, exploita-lion gas velocity.