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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2020, Volume 30, Issue 1, Pages 125–133 (Mi vuu714)  

MECHANICS

Mathematical model of gas hydrate formation of sulfur dioxide by injecting liquid sulfur dioxide into a layer saturated with methane and water

M. K. Khasanov, S. R. Kil'dibaeva

Bashkir State University, Sterlitamak Branch, pr. Lenina, 49, Sterlitamak, 453103, Russia

Abstract: This paper presents the results of a theoretical study for the gas hydrate formation of sulfur dioxide by injecting liquid sulfur dioxide into a layer saturated with water and methane. Self-similar solutions of a straight-line parallel problem are constructed. The dependences of the temperature and the coordinates of the formation front of sulfur dioxide gas hydrate on the layer permeability are explored. It is established that, as the layer permeability increases, the temperature of the phase transition increases on the surface. As a result, at sufficiently large values of layer permeability, the temperature at the hydrate formation border may exceed the equilibrium decomposition temperature of sulfur dioxide gas hydrate, which will correspond to the appearance of an intermediate region saturated with a mixture of water, sulfur dioxide and its gas hydrate in a state of thermodynamic equilibrium. It is established that at sufficiently high values of injection pressure and permeability, the gas hydrate formation of sulfur dioxide will occur in the extended region.

Keywords: mathematical model, self-similar solution, porous area, filtration, gas hydrates, sulfur dioxide.

Funding Agency
The study was funded by RFBR, project number 19-08-00967.


DOI: https://doi.org/10.35634/vm200109

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Full text: http://vm.udsu.ru/.../2020-1-9
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Bibliographic databases:

UDC: 544.344, 532.546
MSC: 93A30
Received: 02.09.2019
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Citation: M. K. Khasanov, S. R. Kil'dibaeva, “Mathematical model of gas hydrate formation of sulfur dioxide by injecting liquid sulfur dioxide into a layer saturated with methane and water”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:1 (2020), 125–133

Citation in format AMSBIB
\Bibitem{KhaKil20}
\by M.~K.~Khasanov, S.~R.~Kil'dibaeva
\paper Mathematical model of gas hydrate formation of sulfur dioxide by injecting liquid sulfur dioxide into a layer saturated with methane and water
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2020
\vol 30
\issue 1
\pages 125--133
\mathnet{http://mi.mathnet.ru/vuu714}
\crossref{https://doi.org/10.35634/vm200109}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000526106800009}


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  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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