Mathematical Model of Gas Hydrate of Hydrogen Sulfide Formation During Its Injection into a Natural Layer

The mathematical model of liquid hydrogen sulfide injection into the semi-infinite porous layer saturated with the oil and water accompanied by H_2S 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.

References

1. Machel H.G. Geological and Hydrogeological Evaluation of the Nisku Q-Pool in Alberta, Canada, for H2S and/or CO2 Storage. Oil and Gas Science and Technology, 2005, vol. 60, pp. 51-65. DOI: 10.2516/ogst:2005005
2. Xu T., Apps J.A., Pruess K., Yamamoto H. Numerical Modeling of Injection and Mineral Trapping of CO2 with H2S and SO2 in a Sandstone Formation. Chemical Geology, 2007, vol. 24, no. 3-4, pp. 319-346. DOI: 10.1016/j.chemgeo.2007.03.022
3. Byk S.Sh., Makogon Yu.F., Fomina V.I. Gazovye gidraty [Gas Hydrates]. Moscow, Khimiya, 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, 2009, vol. 13, no 4, pp. 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, 2016, vol. 80, no. 1, pp. 57-64. DOI: 10.1016/j.jappmathmech.2016.05.009
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, 2016, vol. 54, no. 6, pp. 858-866. DOI: 10.1134/S0018151X16060171
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, 2017, vol. 90, no. 5, pp. 1147-1161. DOI: 10.1007/s10891-017-1669-8
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. tProceedings of the Mavlyutov Institute of Mechanics, 2016. vol. 11, no. 2, p. 233-239. DOI: 10.21662/uim2016.2.034
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, 2017, vol. 3, no. 2, pp. 72-84.
10. Shagapov V.Sh., Khasanov M.K., Musakaev N.G., Ngoc Hai Duong. Theoretical Research of the Gas Hydrate Deposits Development Using the Injection of Carbon Dioxide. International Journal of Heat and Mass Transfer, 2017, vol. 107, pp. 347-357. DOI: 10.1016/j.ijheatmasstransfer.2016.11.034