Conclusions
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1.
The problem of equilibrium between liquid and gas filling a porous medium was formulated.
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2.
A model of a porous medium, considering both the change in the cross section of the pores along their length and their intersection, with the intersection of pores taking the form of three-way junctions, was formulated.
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3.
A method of cycles representing a method of calculating the probability of filling according to parts was proposed to calculate the conditional probability of filling of a pore with a gas under the condition that this pore is supercritical.
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4.
Equations were derived for all cycles, and a function relating the final summary probabilities of filling of the pores and junctions was obtained.
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Literature cited
Interaction of water and porous materials, Disc. Faraday Soc.,3 (1948).
A. É. Sheidegger, Physics of the Flow of Liquids Through Porous Media [in Russian], Gostekhizdat, Moscow (1960).
H. L. Ritter and L. C. Drake, Industr. and Engng. Chem., Anal. Ed.,17, 782 (1945).
A. Wheeler, Advances in Catalysis,3, 250 (1951).
H. I. Meyer, J. Appl. Phys.,24, 510 (1953).
I. Fatt, Trans. Amer. Inst. Mining, Met. and Petrol. Engrs., Petroleum Branch,207, 144 (1956).
S. R. Broadbendt and J. M. Hammersley, Proc. Cambridge Philos. Soc.,53, 629 (1957).
The structure and properties of porous Materials. Ed. by Everett and Stone. Proc. of the Tenth Symposium of the Colston res. soc., London (1928).
A. G. Pshenichnikov, Dokl. AN SSSR,148, 1121 (1963).
V. S. Markin, Yu. A. Chizmadzhev, andYu. G. Chirkov, Dokl. AN SSSR,150, 596 (1963).
A. A. Chernenko and Yu. A. Chizmadzhev, Dokl. AN SSSR,151, 392 (1963).
V. S. Markin, Dokl. AN SSSR,151, 620 (1963).
V. S. Markin, Izv. AN SSSR, ser. Khim.,1963, 1690.
B. V. Gnedenko, Course in Probability Theory [in Russian], Fizmatgizdat, Moscow (1960).
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I should like to thank V. G. Levich, Yu. A. Chizmadzhev, and A. A. Chernenko for their interest in the work and for their discussion.
Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 9, pp. 1523–1530, September, 1965
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Markin, V.S. Capillary equilibrium in porous media. Communication 1. Formulation of the problem and derivation of equations. Russ Chem Bull 14, 1493–1499 (1965). https://doi.org/10.1007/BF01083787
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DOI: https://doi.org/10.1007/BF01083787