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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2018, Volume 11, Issue 2, Pages 73–82 (Mi vyuru432)  

Mathematical Modelling

Mathematical model of gas hydrate of hydrogen sulfide formation during its injection into a natural layer

M. K. Khasanova, G. R. Rafikovab

a Sterlitamak branch of Bashkir State University, Sterlitamak, Russian Federation
b Mavlyutov Institute of Mechanics UFRC RAS, Ufa, Russian Federation

Abstract: The mathematical model of liquid hydrogen sulfide injection into the semi-infinite porous layer saturated with the oil and water accompanied by H$_2$S gas hydrate formation is presented here. We considered the case when the hydrate formation occurs at the frontal border and the oil displacement's front by hydrogen sulfide is ahead of this boundary. Solutions for pressure and temperature in every layer's area are built by help of the self-similar variable formation method. The values of the parameters of the moving interphase boundaries are found as the result of the iteration procedure. The coordinate dependence of phase boundaries on the injection pressure was studied on the basis of the obtained solutions. We have established that for the existence of solution with two different interphase boundaries, the injection pressure must be above a certain limiting value. The dependence of the limiting value of pressure on the initial temperature of the layer at different temperatures of the injected hydrogen sulphide is constructed. The results of the calculations showed that the constructed mathematical model with three areas in the reservoir gives an adequate description of the process at high injection pressures, the temperature of the injected hydrogen sulfide and the initial temperature of the layer.

Keywords: mathematical model; self-similar variable solution; porous medium; filtration; gas hydrates; hydrogen sulfide.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-48-020123_р_а
This work was supported by the Russian Foundation for Basic Research and the Republic of Bashkortostan (project No. 17-48-020123).


DOI: https://doi.org/10.14529/mmp180206

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Document Type: Article
UDC: 519.6+532.546
MSC: 93A30
Received: 20.02.2018
Language: English

Citation: M. K. Khasanov, G. R. Rafikova, “Mathematical model of gas hydrate of hydrogen sulfide formation during its injection into a natural layer”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:2 (2018), 73–82

Citation in format AMSBIB
\Bibitem{KhaRaf18}
\by M.~K.~Khasanov, G.~R.~Rafikova
\paper Mathematical model of gas hydrate of hydrogen sulfide formation during its injection into a natural layer
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2018
\vol 11
\issue 2
\pages 73--82
\mathnet{http://mi.mathnet.ru/vyuru432}
\crossref{https://doi.org/10.14529/mmp180206}


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