A Study On The Inverse Problem Of Two-phase Flow

The inverse problem has been used widely in many fields, especially in the field of oildevelopment field, by which it is very meaningful and valuable for the analysis and reservoirsimulation. Aimed to inverse problem model of the oil and water relative permeability andheterogeneity, this paper extended theoretical analysis and mathematical simulation, and thenestablished a new mathematical model.Firstly, based on the fluid lfow mechanism and characteristics of water floodeddevelopment, the two-dimensional radial fluid flow model with vertical heterogeneity underelastic water flooding is proposed, assuming that no cross lfow occurs and porosity is constant.Combined with the theory of two phase flow of oil and water, establish and modify thecorresponding inverse problem model.Secondly, solve this inverse problem model by programming, with global optimum foroptimization problem and reservoir simulation. Furthermore, the values of reservoirparameters in each optimization are analyzed by inputting them into the reservoir simulator,and the optimum solution is obtained by history match.In the end, many methods of analyzing the reservoir heterogeneity and predictingperformance were realized by virtue of the production data and static data deirved from theinverse problem model.