Geodesic
Mathematical model of gas hydrate of hydrogen sulfide formation during its injection into a natural layer
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 11 (2018) no. 2, pp. 73-82
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{VYURU_2018_11_2_a5,
     author = {M. K. Khasanov and G. R. Rafikova},
     title = {Mathematical model of gas hydrate of hydrogen sulfide formation during its injection into a natural layer},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {73--82},
     year = {2018},
     volume = {11},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2018_11_2_a5/}
}
TY  - JOUR
AU  - M. K. Khasanov
AU  - G. R. Rafikova
TI  - Mathematical model of gas hydrate of hydrogen sulfide formation during its injection into a natural layer
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
PY  - 2018
SP  - 73
EP  - 82
VL  - 11
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VYURU_2018_11_2_a5/
LA  - en
ID  - VYURU_2018_11_2_a5
ER  - 
%0 Journal Article
%A M. K. Khasanov
%A G. R. Rafikova
%T Mathematical model of gas hydrate of hydrogen sulfide formation during its injection into a natural layer
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
%D 2018
%P 73-82
%V 11
%N 2
%U http://geodesic.mathdoc.fr/item/VYURU_2018_11_2_a5/
%G en
%F VYURU_2018_11_2_a5
M. K. Khasanov; G. R. Rafikova. Mathematical model of gas hydrate of hydrogen sulfide formation during its injection into a natural layer. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 11 (2018) no. 2, pp. 73-82. http://geodesic.mathdoc.fr/item/VYURU_2018_11_2_a5/

[1] H.G. Machel, “Geological and Hydrogeological Evaluation of the Nisku Q-Pool in Alberta, Canada, for H$_2$S and/or CO$_2$ Storage”, Oil and Gas Science and Technology, 60 (2005), 51–65 | DOI

[2] T. Xu, J.A. Apps, K. Pruess, H. Yamamoto, “Numerical Modeling of Injection and Mineral Trapping of CO$_2$ with H$_2$S and SO$_2$ in a Sandstone Formation”, Chemical Geology, 24:3–4 (2007), 319–346 | DOI

[3] Byk S. Sh., Makogon Yu. F., Fomina V. I., Gas Hydrates, Khimiya, M., 1980

[4] Duchkov A. D., Sokolova L. S., Ayunov D. E., Permyakov M. E., “Assesment of Potential of West Siberian Permafrost for the Carbon Dioxide Storage”, Earth's Cryosphere, 13:4 (2009), 62–68

[5] Gimaltdinov I. K., Khasanov M. K., “Mathematical Model of the Formation of a Gas Hydrate on the Injection of Gas into a Stratum Partially Saturated with Ice”, Journal of Applied Mathematics and Mechanics, 80:1 (2016), 57–64 | DOI | MR

[6] Shagapov V. Sh., Rafikova G. R., Khasanov M. K., “On the Theory of Formation of Gas Hydrate in Partially Water-Saturated Porous Medium when Injecting Methane”, High Temperature, 54:6 (2016), 858–866 | DOI | DOI | MR

[7] Shagapov V. Sh., Chiglintseva A. S., Belova S. V., “On the Theory of Formation of a Gas Hydrate in a Heat-Insulated Space Compacted with Methane”, Journal of Engineering Physics and Thermophysics, 90:5 (2017), 1147–1161 | DOI | MR

[8] Shagapov V. Sh., Chiglintceva A. S., Belova S. V., “Mathematical Modelling of Injection Gas Hydrate Formation into the Massif of Snow Saturated the Same Gas”, Proceedings of the Mavlyutov Institute of Mechanics, 11:2 (2016), 233–239 | DOI

[9] Khasanov M. K., “Injection of Liquid Hydrogen Sulfide in a Layer Saturated with Oil and Water”, Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, 3:2 (2017), 72–84

[10] V.Sh. Shagapov, M.K. Khasanov, N.G. Musakaev, Ngoc Hai Duong, “Theoretical Research of the Gas Hydrate Deposits Development Using the Injection of Carbon Dioxide”, International Journal of Heat and Mass Transfer, 107 (2017), 347–357 | DOI