New adaptive approach to geological and hydrodynamic modeling of fields and reservoirs with long production history

UDK: 622.276.1/.4.001.57
DOI: 10.24887/0028-2448-2017-6-78-83
Key words: fields, reservoirs, geological and hydrodynamic model, information, theory of percolation, cellular automata, fuzzy logic, forecast of oil production
Authors: E.N. Taraskin (PermNIPIneft Branch of LUKOIL-Engineering LLC in Perm, RF, Perm), I.S. Gutman, S.A. Rudnev (IPNE Ltd., RF, Moscow), A.Z. Zakharian (Cervart Ltd., RF, Moscow), S.O. Ursegov (Skolkovo Institute of Science and Technology, RF, Moscow)

A new adaptive approach is proposed to the creation of geological and hydrodynamic models of the fields and reservoirs with long production history, taking into account the limited amount and large uncertainty of the available initial data. In the adaptive geological model, the number of layers of its grid does not exceed the number of layers identified by the results of detailed correlation, while all model parameters are constructed depending on seismic data. The grid of the adaptive hydrodynamic model completely coincides with the geological grid without any upscaling. In the adaptive hydrodynamic model, the system of differential equations describing the filtration process is solved according to the rules of the theory of percolation and cellular automata. Since at the entrance of the adaptive hydrodynamic model, there are not the flow rates of fluids, but the volumes of oil and water produced, as well as the volumes of injection, such model is always history matched. Calculation of the adaptive hydrodynamic model allows generating the distribution of current oil reserves and reservoir pressure in the field or the reservoir at any time. Using the adaptive hydrodynamic model, it is also possible to predict the state of further development of the field or the reservoir, using the iterative fuzzy-logical method to determine the oil decline rates first, and then to solve the system of equations for the interference of the wells. The proposed adaptive geological-hydrodynamic model is not simplified, it is complex and requires practically the same estimated time as the deterministic model. However, the adaptive model is easier for users, since it does not require any manual work and is always adjusted to the fact, so it turns out to be cheaper and faster than its deterministic analogue.

References

1. Mirzadzhanzade A.Kh., Khasanov M.M., Bakhtizin R.N., Etyudy o modelirovanii slozhnykh system neftedobychi. Nelineynost’, neravnovesnost’, neodnorodnost’ (Essays on modeling of complex oil production systems. The nonlinearity, disequilibrium, heterogeneity), Ufa: Gilem Publ., 1999, 464 p.

2. Lysenko V.D., Innovatsionnaya razrabotka neftyanykh mestorozhdeniy (The innovative development of oil fields), Moscow: Nedra-Biznestsentr Publ., 2000, 516 p.

3. Yudin E.V., Modelirovanie fil'tratsii zhidkosti v neodnorodnykh sredakh dlya analiza i planirovaniya razrabotki neftyanykh mestorozhdeniy (Modeling of fluid filtration in heterogeneous environments for the analysis and planning of oilfield development): candidate of physical and mathematical sciences, Moscow, 2014.

4. Gutman I.S., Saakyan M.I., Ursegov S.O. et al., Metodicheskie rekomendatsii k korrelyatsii razrezov skvazhin (Methodological recommendations for the correlation of well sections): edited by Gutman I.S., Moscow: Nedra Publ., 2013, 112 p.

5. Kadet V.V., Metody teorii perkolyatsii v podzemnoy gidromekhanike (Methods of percolation theory in underground hydromechanics), Moscow: TsentrLitNefteGaz Publ., 2008, 94 p.

6. Stal'gorova E., Babadagli T., Modeling miscible injection in fractured porous media using non-classical simulation approaches (In Russ.), SPE 135903, 2010.

A new adaptive approach is proposed to the creation of geological and hydrodynamic models of the fields and reservoirs with long production history, taking into account the limited amount and large uncertainty of the available initial data. In the adaptive geological model, the number of layers of its grid does not exceed the number of layers identified by the results of detailed correlation, while all model parameters are constructed depending on seismic data. The grid of the adaptive hydrodynamic model completely coincides with the geological grid without any upscaling. In the adaptive hydrodynamic model, the system of differential equations describing the filtration process is solved according to the rules of the theory of percolation and cellular automata. Since at the entrance of the adaptive hydrodynamic model, there are not the flow rates of fluids, but the volumes of oil and water produced, as well as the volumes of injection, such model is always history matched. Calculation of the adaptive hydrodynamic model allows generating the distribution of current oil reserves and reservoir pressure in the field or the reservoir at any time. Using the adaptive hydrodynamic model, it is also possible to predict the state of further development of the field or the reservoir, using the iterative fuzzy-logical method to determine the oil decline rates first, and then to solve the system of equations for the interference of the wells. The proposed adaptive geological-hydrodynamic model is not simplified, it is complex and requires practically the same estimated time as the deterministic model. However, the adaptive model is easier for users, since it does not require any manual work and is always adjusted to the fact, so it turns out to be cheaper and faster than its deterministic analogue.

References

1. Mirzadzhanzade A.Kh., Khasanov M.M., Bakhtizin R.N., Etyudy o modelirovanii slozhnykh system neftedobychi. Nelineynost’, neravnovesnost’, neodnorodnost’ (Essays on modeling of complex oil production systems. The nonlinearity, disequilibrium, heterogeneity), Ufa: Gilem Publ., 1999, 464 p.

2. Lysenko V.D., Innovatsionnaya razrabotka neftyanykh mestorozhdeniy (The innovative development of oil fields), Moscow: Nedra-Biznestsentr Publ., 2000, 516 p.

3. Yudin E.V., Modelirovanie fil'tratsii zhidkosti v neodnorodnykh sredakh dlya analiza i planirovaniya razrabotki neftyanykh mestorozhdeniy (Modeling of fluid filtration in heterogeneous environments for the analysis and planning of oilfield development): candidate of physical and mathematical sciences, Moscow, 2014.

4. Gutman I.S., Saakyan M.I., Ursegov S.O. et al., Metodicheskie rekomendatsii k korrelyatsii razrezov skvazhin (Methodological recommendations for the correlation of well sections): edited by Gutman I.S., Moscow: Nedra Publ., 2013, 112 p.

5. Kadet V.V., Metody teorii perkolyatsii v podzemnoy gidromekhanike (Methods of percolation theory in underground hydromechanics), Moscow: TsentrLitNefteGaz Publ., 2008, 94 p.

6. Stal'gorova E., Babadagli T., Modeling miscible injection in fractured porous media using non-classical simulation approaches (In Russ.), SPE 135903, 2010.



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