The flank injection drive plays a dominant role in the exploitation of the BEB-oil fields. Therefore, 2-phase flow computer models were built up, adapted to a predominance of a single flow direction and combining a high accuracy of prediction with a low job time. Any case study starts with the partitioning of the reservoir into blocks. Then the statistics of the time-independent reservoir properties are analyzed by means of an IBM 360/25 unit. Using these results and the past production of oil, water and gas, a Fortran-program running on a CDC-3300 computer yields oil recoveries and the ratios of the relative permeabilities as a function of the local oil saturation for all blocks penetrated by mobile water. In order to assign kDwU/KDoU-functions to blocks not yet reached by the advancing water-front, correlation analysis is used to relate reservoir properties to kDwU/KDoU-functions. All these results are used as input into a CDC-660 Fortran program, allowing short-, medium-, and long-term forecasts as well as the handling of special problems.