The Identification of the Relative Permeabilities in the Class of the Piecewise Linear Functions

The Identification of the Relative Permeabilities in the Class of the Piecewise Linear Functions

The problem of identifying the relative permeabilities under isothermal three-phase flow in a porous medium is considered. The identification problem is reduced to minimizing the residual function based on known values of the flow rate. The model problem is used to study the stability of identificat...

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Veröffentlicht in:Lobachevskii journal of mathematics 2020-07, Vol.41 (7), p.1175-1179
Hauptverfasser: Elesin, A. V., Kadyrova, A. Sh
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Flow stability
Flow velocity
Geometry
Linear functions
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Porous media
Probability Theory and Stochastic Processes
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Zusammenfassung:The problem of identifying the relative permeabilities under isothermal three-phase flow in a porous medium is considered. The identification problem is reduced to minimizing the residual function based on known values of the flow rate. The model problem is used to study the stability of identification results to errors in the flow rate measurements.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080220070100