Updating Reservoir Models Using Ensemble Kalman Filter

Abstract

The Ensemble Kalman Filter (EnKF) has gain popularity as a methodology for real time updates of
reservoir models. A sample of models is updated whenever observation data available. Successful
application of EnKF to estimate reservoir properties has been reported. A flow modeling is missing in
this research area. This paper presents the applicability of EnKF in flow modeling for three cases:
infinite reservoir, bounded reservoir and one dimensional composite reservoir. The solution of flow
equation was derived and used as a modeling component of state space modeling of Kalman filter
updating formula. This three reservoir models shows that the EnKF methodology can be used for
updating the reservoir models.