Abstract
We consider the problem of nonsteady filtration of a gas in a bounded domain with an unknown moving boundary. We obtain a closed-form solution both for the case when the moving boundary is smaller than the boundary of the filtration region and in the case when the two boundaries coincide. We study the regularities of variation of gas emission, pressure distribution, and advance of the free boundary as functions of time and the filtration properties of the coal vein. Four figures. Bibliography: 3 titles.
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Literature Cited
S. A. Leibenzon,Collected Works [in Russian], Vol. 2 Underground Gas Fluid Dynamics, Moscow (1953).
N. N. Verigin, “Injection of binding solutions into bedrock in order to increase the watertightness of hydrotechnical machinery,”Izv. Akad. Nauk SSSR, No. 5, 674–687 (1952).
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Additional information
Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 22, pp. 81–85, 1991.
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Bondarenko, N.V. Gas emission into the excavated space during the mining of coal deposits. J Math Sci 74, 1181–1184 (1995). https://doi.org/10.1007/BF02431088
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DOI: https://doi.org/10.1007/BF02431088