The authors propose a complex approach to mathematical modeling of processes of two-phase filtering under control conditions in horizontal layers bounded by an impenetrable external contour and contours of alternating curvilinear series of injection and production wells without cross-flow between the series. In terms of the methods of quasi-conformal mappings and stepwise recording of characteristics of the medium and the filtration process, a numerical algorithm is developed for the solution of the relevant problems of constructing the hydrodynamic grid and determining the saturation field, the “pause” point coordinates, the seepage discharge, the total flooding time, etc. in the cases when the domain of the complex quasi-potential is one- or multi-sheeted surface. By means of a specific example (when the reservoir series of wells are rectilinear and are arranged symmetrically), some fragments of the proposed approach are demonstrated.