Abstract
The article discusses the one-dimensional problem of the displacement of a liquid (petroleum), saturating a fractured porous medium, by another liquid miscible with it in all ratios, in a gravity field. A system of two nonlinear equations in partial derivatives, of the hyperbolic type, is obtained for the concentration of one of the liquids in fractures and blocks. The system is integrated numerically by the method of characteristics. On the basis of the results universal dependences are obtained for the distribution of the concentrations over the stratum and the yield of petroleum.
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G. I. Barenblatt, Yu. P. Zheltov, and I. N. Kochina, “The basic principles of the filtration of homogeneous liquids in fractured rocks”, Prikl. Mat. i Mekhan.,24, No. 5 (1960).
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J. L. Thompson and N. A. Mungan, “A laboratory study of gravity drainage in fractured systems under miscible conditions”, Society of Petr. Eng. Journal,9, No. 2 (1969).
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Translated from Izvestiya Akademii Nauk SSSR. Mekhanika Zhidkosti i Gaza, No. 2, pp. 166–168, March–April, 1973.
The authors axe grateful to V. M. Entov for his evaluation of the work.
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Kats, R.M., Kurbanov, A.K. & Yusupova, Z.S. Filtration of two miscible liquids in a fractured porous medium in a gravity field. Fluid Dyn 8, 317–319 (1973). https://doi.org/10.1007/BF01017547
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DOI: https://doi.org/10.1007/BF01017547