Waterflood control system for maximizing total oil recovery

A well injection pressure controller comprising:

• a. an injection goal flow rate of fluid to be injected into an injector well, the injector well having an injection pressure;
• b. a time measurement device, a pressure measurement device and a cumulative flow device, said pressure measurement device and said cumulative flow device monitoring the injector well;
• c. an historical data set {ti pi qi} for iε(1,2, . . . n), n≧1 of related prior samples over an ith interval for the injector well containing at least a sample time ti, an average injection pressure pi on the interval, and a cumulative measure of the volume of fluid injected into the injector well qi as of the sample time ti on the interval, said historical data set accumulated through sampling of said time measurement device, said pressure measurement device and said cumulative flow device;
• d. a computer that uses the historical data set and the injection goal flow rate, to calculate an optimal injection pressure pinj for a subsequent interval of fluid injection;
• and
• e. an output device that controls the injector well injection pressure to be substantially the optimal injection pressure pinj.