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Modeling acid impact in water flooding oil reservoir

Authors: T.R. Zakirov, A.I. Nikiforov (Institute of Mechanics & Engineering of Kazan Scientific Centre of RAS, RF, Kazan)

Key words: porous medium, two-phases flow, control volume, chemical reaction constant, function distribution.

In this study, the process of flooding the oil reservoir with acid treatment beds was investigated. To describe the effects of acid on the oil reservoir the ideal model of a porous medium in the form of a bundle of cylindrical capillaries and function of pore size distribution are used. The resulting system of equations is solved by the method of control volumes on a uniform grid.

References

1. Kroui K., Masmonteyl Zh., Tomas R., Neftyanoe obozrenie, 1996, no. 3, pp. 20-30.

2. Bulgakova G.T., Sharifullin A.R., Kharisov R.Ya., et al., Neftyanoe khozyaystvo – Oil Industry, 2010, no. 4, pp. 2-6.

3. Smirnov A.S., Fedorov K.M., Shevelev A.P., Izvestiya Rossiyskoy akademii nauk. Mekhanika zhidkosti i gaza - Fluid Dynamics, 2010, no. 5, pp. 114–121.

4. Golfier F., Quintard M., Bazin B., Lenormand R., Core-scale description of porous media dissolution during acid injection, Part II, Calculation of the effective properties, Computational and Applied Mathematics, 2006, V. 25, no. 1, pp. 55–78.

5. Apoung J.-B., Have P., Houot J., et al., Reactive transport in porous media, ESAIM: Proc., 2009, V. 28, pp. 227-245.

6. Hoefner M.L., Fogler H.S., Pore evolution and channel formation during flow and reaction in porous media, AIChE Journal, 1988., V. 34, no. 1, pp. 45–54.

7. Golfier F., Bazin B., Lenormand R. and Quintard M., Core-scale description of porous media dissolution during acid injection, Part I, Theoretical development, Computational and Applied Mathematics. 2004, V. 23, no. 2-3, pp. 173–194.

8. Danaev N.T., Kashevarov A.A., Pen'kovskiy V.I., Prikladnaya mekhanika i tekhnicheskaya fizika - Journal of Applied Mechanics and Technical Physics, 2004, V. 45, no. 3, pp. 111-118.

9. Barenblatt G.I., Entov V.M., Ryzhik V.M., Dvizhenie zhidkostey i gazov v prirodnykh plastakh (The movement of liquids and gases in natural reservoirs), Moscow: Nedra Publ., 1984, 207 p.

10. Nikiforov A. I., Anokhin S. V., Matematicheskoe modelirovanie, 2002, V. 14, no. 12, pp. 117-127.

11. Poltavtsev Yu.G., Knyazev A.S., Tekhnologiya obrabotki poverkhnostey v mikroelektronike (Surface treatments in microelectronics), Kiev: Tekhnika Publ., 1990, 243 p.

12. Kheyfets L.I., Neymark A.V., Mnogofaznye protsessy v poristykh sredakh (Multiphase processes in a porous media), Moscow: Khimiya Publ., 1982, 320 p.

13. Fletcher R., Chislennye metody na osnove metoda Galerkina (Numerical methods based on the Galerkin method)., Moscow: Mir Publ., 1988, 352 p.

14. Taniguchi N., Kobayashi T. Finite, Volume method on the unstructured grid system, Computers Fluids, 1991, V. 19, no. Вѕ, pp. 287-295.

Key words: porous medium, two-phases flow, control volume, chemical reaction constant, function distribution.

In this study, the process of flooding the oil reservoir with acid treatment beds was investigated. To describe the effects of acid on the oil reservoir the ideal model of a porous medium in the form of a bundle of cylindrical capillaries and function of pore size distribution are used. The resulting system of equations is solved by the method of control volumes on a uniform grid.

References

1. Kroui K., Masmonteyl Zh., Tomas R., Neftyanoe obozrenie, 1996, no. 3, pp. 20-30.

2. Bulgakova G.T., Sharifullin A.R., Kharisov R.Ya., et al., Neftyanoe khozyaystvo – Oil Industry, 2010, no. 4, pp. 2-6.

3. Smirnov A.S., Fedorov K.M., Shevelev A.P., Izvestiya Rossiyskoy akademii nauk. Mekhanika zhidkosti i gaza - Fluid Dynamics, 2010, no. 5, pp. 114–121.

4. Golfier F., Quintard M., Bazin B., Lenormand R., Core-scale description of porous media dissolution during acid injection, Part II, Calculation of the effective properties, Computational and Applied Mathematics, 2006, V. 25, no. 1, pp. 55–78.

5. Apoung J.-B., Have P., Houot J., et al., Reactive transport in porous media, ESAIM: Proc., 2009, V. 28, pp. 227-245.

6. Hoefner M.L., Fogler H.S., Pore evolution and channel formation during flow and reaction in porous media, AIChE Journal, 1988., V. 34, no. 1, pp. 45–54.

7. Golfier F., Bazin B., Lenormand R. and Quintard M., Core-scale description of porous media dissolution during acid injection, Part I, Theoretical development, Computational and Applied Mathematics. 2004, V. 23, no. 2-3, pp. 173–194.

8. Danaev N.T., Kashevarov A.A., Pen'kovskiy V.I., Prikladnaya mekhanika i tekhnicheskaya fizika - Journal of Applied Mechanics and Technical Physics, 2004, V. 45, no. 3, pp. 111-118.

9. Barenblatt G.I., Entov V.M., Ryzhik V.M., Dvizhenie zhidkostey i gazov v prirodnykh plastakh (The movement of liquids and gases in natural reservoirs), Moscow: Nedra Publ., 1984, 207 p.

10. Nikiforov A. I., Anokhin S. V., Matematicheskoe modelirovanie, 2002, V. 14, no. 12, pp. 117-127.

11. Poltavtsev Yu.G., Knyazev A.S., Tekhnologiya obrabotki poverkhnostey v mikroelektronike (Surface treatments in microelectronics), Kiev: Tekhnika Publ., 1990, 243 p.

12. Kheyfets L.I., Neymark A.V., Mnogofaznye protsessy v poristykh sredakh (Multiphase processes in a porous media), Moscow: Khimiya Publ., 1982, 320 p.

13. Fletcher R., Chislennye metody na osnove metoda Galerkina (Numerical methods based on the Galerkin method)., Moscow: Mir Publ., 1988, 352 p.

14. Taniguchi N., Kobayashi T. Finite, Volume method on the unstructured grid system, Computers Fluids, 1991, V. 19, no. Вѕ, pp. 287-295.


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