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

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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… Click to show full abstract

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.

Keywords: identification relative; permeabilities class; relative permeabilities; linear functions; piecewise linear; class piecewise

Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2020

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