Model of a non-stationary two-phase two-component filtration of oil – water system and oil – supercritical fluid on homogeneous porous media

Authors: A.V. Radaev,R.L. Rakhimov, I.D. Zakhiev, A.A. Davletshin, R.R. Galimzyanov, A.A. Mukhamadiev, A.N. Sabirzyanov (Kazan National Research Technological University, RF, Kazan)

Key words: mathematical model, two-phase two-component filtration, homogeneous porous environment, numerical modeling

The mathematical model of process of a non-stationary two-phase two-component filtration of system oil - supercritical CO2 in homogeneous porous environment is developed. Results of numerical researches of a problem of a non-stationary two-component two-phase filtration of system oil - supercritical CO2 are given in layer in the course of replacement of model oil by supercritical CO2 from homogeneous porous environment. Results of numerical modeling showed that a rejection of settlement data from experimental in case of oil replacement by water below, than at replacement of its supercritical CO2. The deviation of numerical results from the experimental doesn't exceed 13%.
References
1. Aziz Kh., Settari A., Petroleum reservoir simulation, Applied Science Publishers, 1979, 476 p.
2. Barenblatt G.I., Entov V.M., Ryzhik V.M., Teoriya nestatsionarnoy fil'tratsii zhidkosti i gaza (The theory of non-stationary filtration of liquid and gas), Moscow: Nedra Publ., 1972, 288 p.
3. Brusilovskiy A.I., Fazovye prevrashcheniya pri razrabotke mestorozhdeniy
nefti i gaza (Phase transitions in the development of oil and gas fields),
Moscow: Graal' Publ., 2002, 575 p.
4. Kuznetsova I.V., Gil'mutdinov I.I., Gil'mutdinov I.M. et al., Solubility of ibuprofen in supercritical carbon dioxide (In Russ.), Sverkhkriticheskie flyuidy: teoriya i praktika, 2012, V. 7, no. 3, pp. 80–89.
5. Efros D.A., Issledovanie fil'tratsii neodnorodnykh sistem(Research the filtration of inhomogeneous systems), Leningrad: Gostoptekhizdat Publ., 1963, 349 p.
6. Golubev I.F., Vyazkost' gazovykh smesey (The viscosity of the gas mixtures), Moscow: Publ. of State service of standard and reference data of State standards committee, 1971, 319 p.
7. Brot R.A., Kutukov S.E., Determination of geophysical parameters of gas-saturated oils (In Russ.), Neftegazovoe delo = The electronic scientific journal Oil and Gas Business, 2005, no. 3, URL: http://ogbus.ru/authors/Brot/Brot_1.pdf.
8. Grigor'ev B.A., Bogatov G.F., Gerasimov A.A., Teplofizicheskie svoystva
nefti, nefteproduktov, gazovykh kondesatov i ikh fraktsiy (Thermal properties
of oil, oil products, gas condensate and their fractions), Moscow: Publ. of
MEI, 1999, 372 p.
9. Ovsyannikov P.O., Teplofizicheskie svoystva uglevodorodov i ikh vliyanie na teplovye parametry nasyshchennykh porod plastovykh rezervuarov (Thermal properties of hydrocarbons and their influence on the thermal properties of saturated
reservoir rocks): thesis of candidate of technical science, Kazan', 2014.
10. Batrakov N.R., Zakiev I.D., Galimzyanov R.R. et al., Issledovanie protsessa
vytesneniya nefti sverkhkriticheskim CO2 na terrigennoy modeli plasta (Research the of the displacement of oil by supercritical CO2 on terrigenous
reservoir model), Nauchnaya sessiya KGTU (Scientific session of KSTU), Kazan': KGTU, February of 2014.

Key words: mathematical model, two-phase two-component filtration, homogeneous porous environment, numerical modeling

The mathematical model of process of a non-stationary two-phase two-component filtration of system oil - supercritical CO2 in homogeneous porous environment is developed. Results of numerical researches of a problem of a non-stationary two-component two-phase filtration of system oil - supercritical CO2 are given in layer in the course of replacement of model oil by supercritical CO2 from homogeneous porous environment. Results of numerical modeling showed that a rejection of settlement data from experimental in case of oil replacement by water below, than at replacement of its supercritical CO2. The deviation of numerical results from the experimental doesn't exceed 13%.
References
1. Aziz Kh., Settari A., Petroleum reservoir simulation, Applied Science Publishers, 1979, 476 p.
2. Barenblatt G.I., Entov V.M., Ryzhik V.M., Teoriya nestatsionarnoy fil'tratsii zhidkosti i gaza (The theory of non-stationary filtration of liquid and gas), Moscow: Nedra Publ., 1972, 288 p.
3. Brusilovskiy A.I., Fazovye prevrashcheniya pri razrabotke mestorozhdeniy
nefti i gaza (Phase transitions in the development of oil and gas fields),
Moscow: Graal' Publ., 2002, 575 p.
4. Kuznetsova I.V., Gil'mutdinov I.I., Gil'mutdinov I.M. et al., Solubility of ibuprofen in supercritical carbon dioxide (In Russ.), Sverkhkriticheskie flyuidy: teoriya i praktika, 2012, V. 7, no. 3, pp. 80–89.
5. Efros D.A., Issledovanie fil'tratsii neodnorodnykh sistem(Research the filtration of inhomogeneous systems), Leningrad: Gostoptekhizdat Publ., 1963, 349 p.
6. Golubev I.F., Vyazkost' gazovykh smesey (The viscosity of the gas mixtures), Moscow: Publ. of State service of standard and reference data of State standards committee, 1971, 319 p.
7. Brot R.A., Kutukov S.E., Determination of geophysical parameters of gas-saturated oils (In Russ.), Neftegazovoe delo = The electronic scientific journal Oil and Gas Business, 2005, no. 3, URL: http://ogbus.ru/authors/Brot/Brot_1.pdf.
8. Grigor'ev B.A., Bogatov G.F., Gerasimov A.A., Teplofizicheskie svoystva
nefti, nefteproduktov, gazovykh kondesatov i ikh fraktsiy (Thermal properties
of oil, oil products, gas condensate and their fractions), Moscow: Publ. of
MEI, 1999, 372 p.
9. Ovsyannikov P.O., Teplofizicheskie svoystva uglevodorodov i ikh vliyanie na teplovye parametry nasyshchennykh porod plastovykh rezervuarov (Thermal properties of hydrocarbons and their influence on the thermal properties of saturated
reservoir rocks): thesis of candidate of technical science, Kazan', 2014.
10. Batrakov N.R., Zakiev I.D., Galimzyanov R.R. et al., Issledovanie protsessa
vytesneniya nefti sverkhkriticheskim CO2 na terrigennoy modeli plasta (Research the of the displacement of oil by supercritical CO2 on terrigenous
reservoir model), Nauchnaya sessiya KGTU (Scientific session of KSTU), Kazan': KGTU, February of 2014.


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