Estimating Oil Reservoir Permeability and Porosity from Two Interacting Wells

S. Sutawanir (Statistics Research Division Institut Teknologi Bandung)
Agus Yodi Gunawan (Industrial Financial Research Division, Institut Teknologi Bandung)
Nina Fitriyati (Mathematics Department, UIN Syarif Hidayatullah)
Iskandar Fahmi (Oil & Gas Drilling, Production & Management Research Division, Institut Teknologi Bandung)
Anggita Septiani (Undergraduate student of Mathematics Study Program, Institut Teknologi Bandung)
Rini Marwati (Universitas Pendidikan Indonesia)

Journal of Mathematical and Fundamental Sciences
Vol. 45 No. 2 (2013)

The Ensemble Kalman Filter (EnKF) can be used as a method to estimate reservoir parameters, such as permeability and porosity. These parameters play an important role in characterizing reservoir performance. The EnKF is a sequential estimation method that uses the parameters at t "“ 1 (called prior) to estimate the parameters at t adjusted by observations at t (called posterior). In this paper, the EnKF was used to estimate the reservoir parameters for the case of a linear flow of two interacting production-injection oil wells. The Laplace transform was used to obtain an analytical solution of the diffusivity equation. A state space representation was generated using the analytical solution. A simulation study showed that the proposed method can be used successfully to estimate the reservoir parameters using well-pressure observations.