Geodesic
Identification of a two-dimensional model of the flow of a homogeneous liquid in a porous medium
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 5, pp. 727-735 
G. A. Virnovskii; E. I. Levitan. Identification of a two-dimensional model of the flow of a homogeneous liquid in a porous medium. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 5, pp. 727-735. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a8/
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     title = {Identification of a two-dimensional model of the flow of a~homogeneous liquid in a~porous medium},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of determining the field of permeability of an oil-bearing layer from the variations of the pressure and the yield of liquid at the boring wells can be stated as a problem for the minimum value of a functional and can be approximately solved by means of the methods of optimal control theory. The construction of numerical schemes is discussed. The results of a numerical solution of the problem enable one to draw conclusions regarding the uniqueness of the solution.

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