Modeling Fluid Flows in Oil Fields Using the Kalman Filter

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 m...

Full description

Saved in:
Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 272; no. 6; pp. 774 - 782
Main Authors Zaikin, A. A., Kareev, I. A.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 02.06.2023
Springer
Springer Nature B.V
Subjects
Algorithms
Analysis
Differential equations
Fluid flow
Kalman filters
Mathematics
Mathematics and Statistics
Oil fields
Petroleum industry
Petroleum mining
Statistical models
62P30
statistical modeling
86A04
waterflooding
Kalman filter
EM-algorithm
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06471-5