Abstract
The problem of determining the change of the volume and pressure of a gas cavity with time in a mildly sloping seam of the dome type, used as an underground gas storage vault, is solved by the method of combined asymptotic expansions; the gas storage vault has an arbitrary law of variation of discharge with time. A comparison is carried out with the existing exact solution for the case of a seam with constant thickness; good agreement is revealed. Calculations are carried out on the dynamics of a gas cavity in an actual seam. The case of a seam with a steep dome and a strong anisotropic permeability is also considered.
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J. D. Cole, Perturbation Methods in Applied Mathematics [Russian translation], Mir, Moscow (1972).
M. Van Dyke, Perturbation Methods in Fluid Mechanics, Academic Press (1964).
G. S. Karslou, Theory of Thermal Conductivity [in Russian], Gostekhizdat, Moscow-Leningrad (1947).
I. A. Charnyi, Underground Hydrogasdynamics [in Russian], Gostekhizdat, Moscow (1963).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 56–63, May–June, 1976.
The authors thank V. D. Epishin for the calculations performed by him.
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Kochina, I.N., Filinov, M.V. Hydrodynamics op underground gas storage vaults. Fluid Dyn 11, 394–400 (1976). https://doi.org/10.1007/BF01014455
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DOI: https://doi.org/10.1007/BF01014455