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Application of the spectral theory to the analysis and modelling of the rock properties of the reservoir

Authors: M.M. Khasanov, B.V. Belozerov, A.S. Bochkov, O.S. Ushmaev, O.M. Fuks (Gazpromneft NTC, LLC, RF, Saint Petersburg

Key words: geological modelling, geostatistics, data analysis and interpolation, spectral theory.

This paper considers the problem occurring during geological modelling of the oil field – the problem of well data interpolation between the wells, also their extrapolation to the unexplored areas of the field and further reconstruction of the rock properties of the reservoir. The article describes a new method for analysis and modelling of the reservoir properties based on the spectral theory. Several parameters are presented, which allow to identify specific facial zones of the field using the geophysical well data, as well as the method to reconstruct logging data and then the properties of the reservoir.

References
1. Matheron G. The theory of regionalized variables and its application,
Fontainebelau: Center of Geostatistics, 1971, p. 212.
2. Matheron G., The intrinsic random functions and their applications, Adv.
Appl. Probability, 1973, no. 5, pp. 439–468.
3. Matheron G., The intrinsic random functions and their applications,
Fontainebelau: Center of Geostatistics, 1978, 175 р.
4. Krige D.G., A statistical approach to some mine valuations and allied problems at the Witwatersrand, Master's thesis: University of Witwatersran, 1951, 272 р.
5. Dubrule O., Geostatistics for seismic data integration in Earth models, Tulsa, Society of Exploration Geophysicists & European Association of Geoscientists and Engineers, 2003, 281 p.
6. Baykov V.A., Bakirov N.K., Yakovlev A.A., New methods in the theory of geostatistical modelling (In Russ.), Vestnik Ufimskogo gosudarstvennogo aviatsionnogo tekhnicheskogo universiteta, 2010, V. 37, no. 2, pp. 209–215
7. Baykov V.A., Bochkov A.S., Yakovlev A.A., Accounting of nonhomogeneity in Priobskoye field geological modeling and simulation (In Russ.), Neftyanoe khozyaystvo = Oil Industry, 2011, no. 5, pp. 50–54.
8. Bochkov A.S., Mukhamadeev D.S., Novye podkhody geostokhasticheskogo
modelirovaniya mestorozhdeniy (New approaches to geostochastic
reservoir modeling), Ufa: Publ. of RN-UfaNIPIneft' LLC, 2011. р. 29.
9. Frisch U., Turbulence: The Legacy of A.N. Kolmogorov, Cambridge University Press, 1996, 312 p.
10. Reynolds A.D., Dimensions of paralic sandstone bodies, AAPG Bulletin,
1999, V. 83, no. 2, pp. 211–229.
11. Dem'yanov V.V., Savel'eva E.A., Geostatistika. Teoriya i praktika (Geostatistics. Theory and practice), Moscow: Nauka Publ., 2010, 327 р. 

Key words: geological modelling, geostatistics, data analysis and interpolation, spectral theory.

This paper considers the problem occurring during geological modelling of the oil field – the problem of well data interpolation between the wells, also their extrapolation to the unexplored areas of the field and further reconstruction of the rock properties of the reservoir. The article describes a new method for analysis and modelling of the reservoir properties based on the spectral theory. Several parameters are presented, which allow to identify specific facial zones of the field using the geophysical well data, as well as the method to reconstruct logging data and then the properties of the reservoir.

References
1. Matheron G. The theory of regionalized variables and its application,
Fontainebelau: Center of Geostatistics, 1971, p. 212.
2. Matheron G., The intrinsic random functions and their applications, Adv.
Appl. Probability, 1973, no. 5, pp. 439–468.
3. Matheron G., The intrinsic random functions and their applications,
Fontainebelau: Center of Geostatistics, 1978, 175 р.
4. Krige D.G., A statistical approach to some mine valuations and allied problems at the Witwatersrand, Master's thesis: University of Witwatersran, 1951, 272 р.
5. Dubrule O., Geostatistics for seismic data integration in Earth models, Tulsa, Society of Exploration Geophysicists & European Association of Geoscientists and Engineers, 2003, 281 p.
6. Baykov V.A., Bakirov N.K., Yakovlev A.A., New methods in the theory of geostatistical modelling (In Russ.), Vestnik Ufimskogo gosudarstvennogo aviatsionnogo tekhnicheskogo universiteta, 2010, V. 37, no. 2, pp. 209–215
7. Baykov V.A., Bochkov A.S., Yakovlev A.A., Accounting of nonhomogeneity in Priobskoye field geological modeling and simulation (In Russ.), Neftyanoe khozyaystvo = Oil Industry, 2011, no. 5, pp. 50–54.
8. Bochkov A.S., Mukhamadeev D.S., Novye podkhody geostokhasticheskogo
modelirovaniya mestorozhdeniy (New approaches to geostochastic
reservoir modeling), Ufa: Publ. of RN-UfaNIPIneft' LLC, 2011. р. 29.
9. Frisch U., Turbulence: The Legacy of A.N. Kolmogorov, Cambridge University Press, 1996, 312 p.
10. Reynolds A.D., Dimensions of paralic sandstone bodies, AAPG Bulletin,
1999, V. 83, no. 2, pp. 211–229.
11. Dem'yanov V.V., Savel'eva E.A., Geostatistika. Teoriya i praktika (Geostatistics. Theory and practice), Moscow: Nauka Publ., 2010, 327 р. 


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