Joint estimation of absolute and relative permeabilities using ensemble-based Kalman filter

摘要: Abstract An ensemble-based, sequential assimilation procedure is developed and successfully applied to estimate absolute relative permeabilities jointly under multi-phase (oil, gas water) flow condition in the porous media. Two-phase oil–water gas–oil are represented by power-law models, Stone's Model II used calculate three-phase oil permeability. Prior permeability field also generated with isotropic Gaussian covariance. The proposed method validated a twin numerical setup three different case studies, which synthetic 2D reservoir considered. In first case, there simultaneous of oil, water, phases within reservoir. second, only water present; and, mobile for third case. By assimilating measured production rates producers bottomhole pressure injector, curves accurately estimated. Therefore, estimation from data feasible if exists prior model curves.