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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2004 Volume 16, Number 8, Pages 99–113 (Mi mm324)

Minimization of residual function by quasi-gradient method for identification of the hydraulic conductivity in case of three-dimensional anisotropic aquifer

A. V. Elesin, P. A. Mazurov

Research Institute of Mechanics and Machinery of Kazan Scientific Center of the Russian Academy of Sciences

Abstract: The identification problem of the hydraulic conductivity in the three-dimensional anisotropic confined aquifer is solved in case of one-phase filtration according to the head values in observation locations. A new quasi-gradient algorithm has been proposed for minimization of a residual function. The sensitivity storage distribution is used for constructing this algorithm. The properties of a residual function in minimum point have been analyzed. These properties are the basis of a new stopping criterion. In this criterion the knowledge of errors in head data is not required.

Received: 14.10.2002



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