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The linearization method in the inverse problem of determination of low-permeability zones in an oil-bearing layer

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Abstract

The possibility of determination of low-permeability zones in an oil-bearing layer from bore-pressure measurements is studied. The formulation of the problem on the pressure distribution in the layer is considered in the case when the pressure is invariable across the layer. The problem is reduced to an integral equation. The linearization of the inverse problem of determination of low-permeability zones is considered. An iterative technique is proposed for solution of this problem. The technique involves reduction of the inverse problem to an operator equation.

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References

  1. S. G. Golovina, A. M. Denisov, and V. I. Dmitriev, “On the Inverse Problem of Determination of Low-Permeability Zones in an Oil-bearing Layer” Prikl. Mat. Informatika (MAKS-Press, Moscow), No. 21, 5–14 (2005).

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Correspondence to S. G. Golovina.

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Original Russian Text © S.G. Golovina, 2008, published in Vestnik Moskovskogo Universiteta. Vychislitel’naya Matematika i Kibernetika, 2008, No. 1, pp. 5–9.

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Golovina, S.G. The linearization method in the inverse problem of determination of low-permeability zones in an oil-bearing layer. MoscowUniv.Comput.Math.Cybern. 32, 1–6 (2008). https://doi.org/10.3103/s11968-008-1001-x

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  • DOI: https://doi.org/10.3103/s11968-008-1001-x

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