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# The method for estimating the oil displacement coefficient based on standard core analysis

UDK: 622.276.21
DOI: 10.24887/0028-2448-2017-8-90-93
Key words: coefficient of oil displacement, analytical dependence, discriminant and regression analysis, multidimensional equation, standard core analysis
Authors: E.A. Gladkikh, G.P. Khizhniak, V.I. Galkin (Perm National Research Polytechnic University, RF, Perm)

The article is devoted to the problem of estimating the oil displacement coefficient. The displacement coefficient is one of the key parameters in calculating recoverable reserves and controlling the development of oil fields. Traditionally, its definition is carried out in the laboratory when oil is displaced by the working agent from the composite core models of the formation under conditions simulating natural occurrence. With insufficient or no cores, the displacement coefficient can be estimated either by analogy with neighboring deposits or using analytical dependencies. In this regard, the receipt of such dependencies is relevant.

Through the generalization and analysis of a significant amount of experimental data, the authors developed a method for estimating the oil displacement coefficient. The initial sample was formed from the known values of the parameters of the reservoir models, which was ranked by the value of the displacement coefficient from the minimum to the maximum. It was possible to trace the influence of sample parameters on the displacement coefficient by means of stepwise regression analysis of the initial sample. In this case, the existence of isolated groups of values was established, which were isolated through linear discriminant analysis. Multidimensional regression equations for selected classes are obtained, which allow one to estimate the value of the oil displacement coefficient without its laboratory determination.

To estimate the displacement coefficient, the values of the formation parameters are used: porosity, permeability, residual water saturation, bulk density of the rock, determined by mass in standard core studies, and oil viscosity.

The developed method is implemented for the Bashkir carbonate deposits of the Bashkir arch and the Solikamsk depression in the Perm region. The obtained multidimensional equations demonstrate the high closeness of the model and experimental values of the displacement coefficient.

References

1. Khizhnyak G.P., Lyadova N.A., Experience of assessment technique implementation of oil displacement coefficient in the time of projecting of perm oil fields development (In Russ.), Geologiya, geofizika i razrabotka neftyanykh i gazovykh mestorozhdeniy, 2008, no. 9, pp. 49–54.

2. Khizhnyak G.P., Tatarinov I.A., Spasibko A.V., The use of biopolymer BP-92 in the laboratory determination of the oil displacement efficiency of the Tournaisian sediments of the Aputaisky deposit (In Russ.), Geologiya, geofizika i razrabotka neftyanykh i gazovykh mestorozhdeniy, 2007, no. 1, pp. 50–54.

3. Raspopov A.V., Khizhnyak G.P., Determination of displacement (oil by water) efficiency with application of objects-analogues investigation results (In Russ.), Geologiya, geofizika i razrabotka neftyanykh i gazovykh mestorozhdeniy, 2009, no. 6, pp. 39–43.

4. Khizhnyak G.P., Petrofizicheskie issledovaniya dinamicheskikh osobennostey struktury porovogo prostranstva porod-kollektorov v svyazi s problemami nefteizvlecheniya (na primere zalezhey Permskogo Prikam’ya) (Petrophysical studies of the dynamic features of the pore space structure of reservoir rocks in connection with the problems of oil recovery (on the example of deposits of Perm Kama region)): thesis of candidate of technical science, Perm’, 2000.

5. Khizhnyak G.P., Poplaukhina T.B., Galkin S.V., Efimov A.A., Experience of assessment technique implementation of oil displacement coefficient in the time of projecting of perm oil fields development (In Russ.), Geologiya, geofizika i razrabotka neftyanykh i gazovykh mestorozhdeniy, 2009, no. 8, pp. 42–45.

6. Khizhnyak G.P., Raspopov A.V., Efimov A.A., Methodical approaches to prove oil displacement coefficient in different geological and physical conditions (In Russ.), Geologiya, geofizika i razrabotka neftyanykh i gazovykh mestorozhdeniy, 2009, no. 10, pp. 32–35.

7. Galkin S.V., Poplaukhina T.B., Raspopov A.V., Khizhnyak G.P., Estimation of oil recovery ratios for Permskiy Region fields on the basis of statistical models (In Russ.), Neftyanoe khozyaystvo = Oil Industry, 2009, no. 4, pp. 38–39.

8. Lyadova N.A., Yakovlev Yu.A., Raspopov A.V., Geologiya i razrabotka neftyanykh mestorozhdeniy Permskogo kraya (Geology and development of oil deposits of the Perm region), Moscow: Publ. of VNIIOENG, 2010, 335 p.

9. Montgomery D.C., Peck E.A., Introduction to linear regression analysis, New York: John Wiley & Sons, 1982, 504 p.

10. Galkin V.I., Khizhnyak G.P., Amirov A.M., Gladkikh E.A., Assessment of efficiency of core sample acidizing by means of regression analysis (In Russ.), Vestnik Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo universiteta. Geologiya. Neftegazovoe i gornoe delo, 2014, no. 13, pp. 38-48, DOI: 10.15593/2224-9923/2014.13.4.

11. Galkin V.I., Ponomareva I.N., Repina V.A., Study of oil recovery from reservoirs of different void types with use of multidimensional statistical analysis (In Russ.), Vestnik Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo universiteta. Geologiya. Neftegazovoe i gornoe delo, 2016, V. 15, no. 19, pp. 145–154, DOI: 10.15593/2224-9923/2016.19.5.

12. Davis J., Statistics and analysis of geological data, Academic Press, 1977, 572 p.

13. Chumakov G.N., Probabilistic estimate of effectiveness of the method of cyclic bed fluid injection (In Russ.), Vestnik Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo universiteta. Geologiya. Neftegazovoe i gornoe delo, 2014, V. 13, no. 13, pp. 49–58, DOI: 10.15593/2224-9923/2014.13.5.

14. Chernykh I.A., Determination of bottomhole pressure by using multivariate statistical models (on example of formation TL-BB Yurchukskoie field) (In Russ.), Vestnik Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo universiteta. Geologiya. Neftegazovoe i gornoe delo, 2016, V. 15, no. 21, pp. 320-328, DOI: 10.15593/2224-9923/2016.21.3.

15. Andreyko S.S., Development of mathematical model of gas-dynamic phenomena forecasting method according to geological data in conditions of Verkhnekamskoie potash salt deposit (In Russ.), Vestnik Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo universiteta. Geologiya. Neftegazovoe i gornoe delo, 2016, V. 15, no. 21, pp. 345-353, DOI: 10.15593/2224-9923/2016.21.6.

The article is devoted to the problem of estimating the oil displacement coefficient. The displacement coefficient is one of the key parameters in calculating recoverable reserves and controlling the development of oil fields. Traditionally, its definition is carried out in the laboratory when oil is displaced by the working agent from the composite core models of the formation under conditions simulating natural occurrence. With insufficient or no cores, the displacement coefficient can be estimated either by analogy with neighboring deposits or using analytical dependencies. In this regard, the receipt of such dependencies is relevant.

Through the generalization and analysis of a significant amount of experimental data, the authors developed a method for estimating the oil displacement coefficient. The initial sample was formed from the known values of the parameters of the reservoir models, which was ranked by the value of the displacement coefficient from the minimum to the maximum. It was possible to trace the influence of sample parameters on the displacement coefficient by means of stepwise regression analysis of the initial sample. In this case, the existence of isolated groups of values was established, which were isolated through linear discriminant analysis. Multidimensional regression equations for selected classes are obtained, which allow one to estimate the value of the oil displacement coefficient without its laboratory determination.

To estimate the displacement coefficient, the values of the formation parameters are used: porosity, permeability, residual water saturation, bulk density of the rock, determined by mass in standard core studies, and oil viscosity.

The developed method is implemented for the Bashkir carbonate deposits of the Bashkir arch and the Solikamsk depression in the Perm region. The obtained multidimensional equations demonstrate the high closeness of the model and experimental values of the displacement coefficient.

References

1. Khizhnyak G.P., Lyadova N.A., Experience of assessment technique implementation of oil displacement coefficient in the time of projecting of perm oil fields development (In Russ.), Geologiya, geofizika i razrabotka neftyanykh i gazovykh mestorozhdeniy, 2008, no. 9, pp. 49–54.

2. Khizhnyak G.P., Tatarinov I.A., Spasibko A.V., The use of biopolymer BP-92 in the laboratory determination of the oil displacement efficiency of the Tournaisian sediments of the Aputaisky deposit (In Russ.), Geologiya, geofizika i razrabotka neftyanykh i gazovykh mestorozhdeniy, 2007, no. 1, pp. 50–54.

3. Raspopov A.V., Khizhnyak G.P., Determination of displacement (oil by water) efficiency with application of objects-analogues investigation results (In Russ.), Geologiya, geofizika i razrabotka neftyanykh i gazovykh mestorozhdeniy, 2009, no. 6, pp. 39–43.

4. Khizhnyak G.P., Petrofizicheskie issledovaniya dinamicheskikh osobennostey struktury porovogo prostranstva porod-kollektorov v svyazi s problemami nefteizvlecheniya (na primere zalezhey Permskogo Prikam’ya) (Petrophysical studies of the dynamic features of the pore space structure of reservoir rocks in connection with the problems of oil recovery (on the example of deposits of Perm Kama region)): thesis of candidate of technical science, Perm’, 2000.

5. Khizhnyak G.P., Poplaukhina T.B., Galkin S.V., Efimov A.A., Experience of assessment technique implementation of oil displacement coefficient in the time of projecting of perm oil fields development (In Russ.), Geologiya, geofizika i razrabotka neftyanykh i gazovykh mestorozhdeniy, 2009, no. 8, pp. 42–45.

6. Khizhnyak G.P., Raspopov A.V., Efimov A.A., Methodical approaches to prove oil displacement coefficient in different geological and physical conditions (In Russ.), Geologiya, geofizika i razrabotka neftyanykh i gazovykh mestorozhdeniy, 2009, no. 10, pp. 32–35.

7. Galkin S.V., Poplaukhina T.B., Raspopov A.V., Khizhnyak G.P., Estimation of oil recovery ratios for Permskiy Region fields on the basis of statistical models (In Russ.), Neftyanoe khozyaystvo = Oil Industry, 2009, no. 4, pp. 38–39.

8. Lyadova N.A., Yakovlev Yu.A., Raspopov A.V., Geologiya i razrabotka neftyanykh mestorozhdeniy Permskogo kraya (Geology and development of oil deposits of the Perm region), Moscow: Publ. of VNIIOENG, 2010, 335 p.

9. Montgomery D.C., Peck E.A., Introduction to linear regression analysis, New York: John Wiley & Sons, 1982, 504 p.

10. Galkin V.I., Khizhnyak G.P., Amirov A.M., Gladkikh E.A., Assessment of efficiency of core sample acidizing by means of regression analysis (In Russ.), Vestnik Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo universiteta. Geologiya. Neftegazovoe i gornoe delo, 2014, no. 13, pp. 38-48, DOI: 10.15593/2224-9923/2014.13.4.

11. Galkin V.I., Ponomareva I.N., Repina V.A., Study of oil recovery from reservoirs of different void types with use of multidimensional statistical analysis (In Russ.), Vestnik Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo universiteta. Geologiya. Neftegazovoe i gornoe delo, 2016, V. 15, no. 19, pp. 145–154, DOI: 10.15593/2224-9923/2016.19.5.

12. Davis J., Statistics and analysis of geological data, Academic Press, 1977, 572 p.

13. Chumakov G.N., Probabilistic estimate of effectiveness of the method of cyclic bed fluid injection (In Russ.), Vestnik Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo universiteta. Geologiya. Neftegazovoe i gornoe delo, 2014, V. 13, no. 13, pp. 49–58, DOI: 10.15593/2224-9923/2014.13.5.

14. Chernykh I.A., Determination of bottomhole pressure by using multivariate statistical models (on example of formation TL-BB Yurchukskoie field) (In Russ.), Vestnik Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo universiteta. Geologiya. Neftegazovoe i gornoe delo, 2016, V. 15, no. 21, pp. 320-328, DOI: 10.15593/2224-9923/2016.21.3.

15. Andreyko S.S., Development of mathematical model of gas-dynamic phenomena forecasting method according to geological data in conditions of Verkhnekamskoie potash salt deposit (In Russ.), Vestnik Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo universiteta. Geologiya. Neftegazovoe i gornoe delo, 2016, V. 15, no. 21, pp. 345-353, DOI: 10.15593/2224-9923/2016.21.6.

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