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Two-phase filtration to an imperfect borehole in an inhomogeneous producing stratum

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Abstract

A finite-difference method is proposed for solving the filtration equations of a two-phase liquid passing into a borehole partly revealing an oil stratum. The results of a finite-difference calculation of the dynamics of borehole flooding are compared with the solutions obtained by the zonallinearization method, as proposed by Abramov, Danilov, and Kats [1].

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Literature cited

  1. Yu. S. Abramov, V. L. Danilov, and R. M. Kats, “Three-dimensional two-phase filtration to an imperfect borehole in an oil stratum,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3 (1974).

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  5. Yu. S. Abramov, “Spatial motion of the interface between two ponderable viscous liquids in a porous medium,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1 (1968).

  6. A. V. Korolev, B. V. Shalimov, and M. I. Shvidler, “On ‘hanging’ discontinuities of saturation in the filtration of nonmixing liquids in inhomogeneous media,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3 (1975).

  7. Yu. S. Abramov and R. M. Kats, “Spatial motion of the interface between two incompressible liquids in a porous medium,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6 (1967).

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Authors and Affiliations

  1. Moscow

    A. V. Korolev

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  1. A. V. Korolev
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 64–69, May–June, 1976.

In conclusion, the author wishes to thank R. M. Kats and M. I. Shvidler for interest in the work and useful comments.

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Korolev, A.V. Two-phase filtration to an imperfect borehole in an inhomogeneous producing stratum. Fluid Dyn 11, 400–404 (1976). https://doi.org/10.1007/BF01014456

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  • DOI: https://doi.org/10.1007/BF01014456

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