Geodesic
Modeling fluid flows in oil fields using the Kalman filter
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 1, Tome 175 (2020), pp. 27-35

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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.
Keywords: waterflooding, statistical modeling, Kalman filter
Mots-clés : EM-algorithm. 
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     author = {A. A. Zaikin and I. A. Kareev},
     title = {Modeling fluid flows in oil fields using the {Kalman} filter},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {27--35},
     publisher = {mathdoc},
     volume = {175},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_175_a2/}
}
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A. A. Zaikin; I. A. Kareev. Modeling fluid flows in oil fields using the Kalman filter. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 1, Tome 175 (2020), pp. 27-35. http://geodesic.mathdoc.fr/item/INTO_2020_175_a2/