A Novel Mathematical Model for the Interpretation of Transient Pressure in Heavy Oil Production

Abstract

The major method for developing heave oil is steam soak/steam injection technology. During the steam injection, inner zone radius increased; while during shut in, inner zone radius decreased, in order to find the effect of removable inner zone radius on well testing analysis, we developed a new mathematical model with two zones and the inner zone radius is removable with time. The well bore storage and skin effect are considered. The well bore pressure response solution was obtained by using Laplace transform; typical curves were made by using Stehfest Laplace numerical inversion algorithm. The feature of the typical curves were analyzed and compared with those base on the conventional model. Based on this model, the movement feature of heating front during steam injection /soak can be evaluated.