Using the Spline Function to Restore the Permeability Field under Three-Phase Flow Filtration

The inverse coefficient problem of determining the absolute permeability field in the form of a spline function under a three-phase flow in a porous medium is considered. The problem is reduced to minimization of the residual function which constructed on the known values of the flow rate on the wel...

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Veröffentlicht in:	Lobachevskii journal of mathematics 2021-09, Vol.42 (9), p.2109-2113
Hauptverfasser:	Elesin, A. V., Kadyrova, A. Sh
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Flow velocity Geometry Mathematical Logic and Foundations Mathematics Mathematics and Statistics Permeability Porous media Probability Theory and Stochastic Processes Spline functions
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Beschreibung
Zusammenfassung:	The inverse coefficient problem of determining the absolute permeability field in the form of a spline function under a three-phase flow in a porous medium is considered. The problem is reduced to minimization of the residual function which constructed on the known values of the flow rate on the wells. The influence of errors in the flow rate measurements on the calculated fields of the absolute permeability is studied by the example of solving a model problem.
ISSN:	1995-0802 1818-9962
DOI:	10.1134/S1995080221090079