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Elasticoplastic conditions of the filtration of a liquid in porous media

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Abstract

The article discusses questions in the theory of filtration in porous media, taking account of elastic, elasticoplastic, and plastic deformations. Parameters are introduced to evaluate irreversible effects in petroleum- and water-bearing strata, i.e., coefficients of the change in the porosity and the permeability. Equations are derived for filtration under unsteady-state and steady-state working conditions of wells and galleries. Two limiting cases, which allow analytical solutions, are separated out. In the general case, the equations of elasticoplastic filtration conditions are solved on an electronic computer. The numerial calculations show that the predominating effect results from taking account of the irreversible change in the permeability, depending on the change of the pressure in the stratum.

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Literature cited

  1. I. I. Strizhov and I. E. Khodanovich, The Extraction of Gas [in Russian], Izd. Gostekhizdat, Moscow (1946).

    Google Scholar 

  2. G. V. Isakov, “Deformations of petroleum reservoirs,” Neftyanoe Khozyaistvo, No. 11 (1948).

  3. A. P. Krylov and G. I. Barenblatt, Elasticoplastic Conditions in a Petroleum-Bearing Stratum [in Russian], Izd. Akad. Nauk SSSR, Moscow (1955).

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  4. A. T. Gorbunov, “Elasticoplastic filtration conditions,” Scientific and Technical Collection of Articles on the Extraction of Petroleum, No. 29 [in Russian] (1968).

  5. A. T. Gorbunov and É. A. Avakyan, “Elasticoplastic filtration conditions,” Yearbook of the All-Union Scientific-Research Institute [in Russian], Izd. Nedra, Moscow (1968).

    Google Scholar 

  6. V. N. Nikolaevskii, K. S. Basniev, A. T. Gorbunov, and G. A. Zotov, The Mechanics of Saturated Porous Media [in Russian], Izd. Nedra, Moscow (1970).

    Google Scholar 

  7. V. N. Nikolaevskii, “The construction of a nonlinear theory of elastic filtration conditions of liquids and gases,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 4 (1961).

  8. A. T. Gorbunov and V. N. Nikolaevskii, “The nonlinear theory of elastic filtration conditions. The extraction of petroleum (theory and practice).” Yearbook of the All-Union Scientific-Research Institute [in Russian] (1964).

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Authors and Affiliations

  1. Moscow

    A. T. Gorbunov

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  1. A. T. Gorbunov
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 84–90, September–October, 1973.

The author is grateful to V. N. Nikolaevskii for his evaluation of the work.

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Gorbunov, A.T. Elasticoplastic conditions of the filtration of a liquid in porous media. Fluid Dyn 8, 749–754 (1973). https://doi.org/10.1007/BF01023574

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  • DOI: https://doi.org/10.1007/BF01023574

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