Abstract
In this paper, we present a statistical model of the relationship between injection and production wells on an oil field. The model is based on analysis of fluid flows occurring in the oil field; it is a modification of the Kalman filter model. An EM-algorithm for estimating the parameters of this model is developed.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 175, Proceedings of the XVII All-Russian Youth School-Conference “Lobachevsky Readings-2018,” November 23-28, 2018, Kazan. Part 1, 2020.
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Zaikin, A.A., Kareev, I.A. Modeling Fluid Flows in Oil Fields Using the Kalman Filter. J Math Sci 272, 774–782 (2023). https://doi.org/10.1007/s10958-023-06471-5
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DOI: https://doi.org/10.1007/s10958-023-06471-5