A State Space Model to Infer Interwell Connectivity Only Form Injection and Production Data in Waterfloods

Production and injection rates are the most abundant data available in any injection-production project. One can analyze these data to obtain valuable and useful information about interwell connectivity. The oil reservoir is considered to be an input-output system with the injection rates as the input and production rates as the output. A state space model is developed to infer the interwell connectivity only from the injection and production data on a reservoir. A synthetic field with five injectors and four producers is used to test the model. The simulation results show that the long time dependent behavior between injectors and producers can be satisfactorily captured by the proposed state space model.